version
stringclasses 1
value | hypothesis
stringlengths 8
103
| hypothesis_formula
stringlengths 3
36
| facts
stringlengths 0
691
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stringlengths 0
374
| proofs
sequencelengths 0
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| proofs_formula
sequencelengths 0
1
| negative_hypothesis
stringlengths 8
88
â | negative_hypothesis_formula
stringlengths 3
37
â | negative_proofs
sequencelengths 0
1
| negative_original_tree_depth
int64 0
17
â | original_tree_steps
int64 1
5
| original_tree_depth
int64 1
5
| steps
int64 1
5
â | depth
int64 1
5
â | num_formula_distractors
int64 0
5
| num_translation_distractors
int64 0
0
| num_all_distractors
int64 0
5
| proof_label
stringclasses 3
values | negative_proof_label
stringclasses 2
values | world_assump_label
stringclasses 3
values | negative_world_assump_label
stringclasses 2
values | prompt_serial
stringlengths 71
750
| proof_serial
stringlengths 11
312
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stringlengths 52
422
| proof_serial_formula
stringlengths 11
216
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ãœã«ããœã«ãLv.67äºä»¶ã¯èµ·ããªã | ¬{D} | fact1: ãœã«ããœãªLv.17äºä»¶ã¯èµ·ããªããšããããšã¯ãœããœã«Lv.33äºä»¶ãçºçããã fact2: ããœã«ããœã«ãLv.67äºä»¶ã¯çããªãããšããããšã¯ãå€åãæããšããããšãçããããã®äžå
¥æãæããšããããšãèµ·ããããšããããšãåå ã fact3: ãœã«ããœãªLv.17äºä»¶ã¯èµ·ããªã fact4: ããœããœã«Lv.33äºä»¶ããã³å€åãæããšããããšäž¡æ¹ãçããããšããããšã¯ãœã«ããœãªLv.17äºä»¶ã¯èµ·ãããªããšããããšã«ããçãã fact5: ãå
¥æãæããšããããšãèµ·ããããšããããšã¯çå®ã fact6: ãããå€åãæããšããããšã¯çããªãããšããããšã¯äºå®ã§ãããšãããšãœã«ããœã«ãLv.67äºä»¶ãšãœããœã«Lv.33äºä»¶ã©ã¡ãããçãã fact7: ãããããã«ã
Lv.21äºä»¶ãèµ·ããã°ããœã«ããœãªLv.17äºä»¶ã¯çããªããå
¥æãæããšããããšãçããããšããããšã¯äºå®ã§ãªã | fact1: ¬{E} -> {A} fact2: ({B} & {C}) -> ¬{D} fact3: ¬{E} fact4: ¬{E} -> ({A} & {B}) fact5: {C} fact6: ¬{B} -> ({D} & {A}) fact7: {F} -> ¬(¬{E} & {C}) | [
"fact4 & fact3 -> int1: ãœããœã«Lv.33äºä»¶ãšå€åãæããšããããšäž¡æ¹ãšããèµ·ãã; int1 -> int2: å€åãæããšããããšãçºçãã; int2 & fact5 -> int3: å€åãæããšããããšãšå
¥æãæããšããããšãçºçãã; int3 & fact2 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: ({A} & {B}); int1 -> int2: {B}; int2 & fact5 -> int3: ({B} & {C}); int3 & fact2 -> hypothesis;"
] | ãœã«ããœã«ãLv.67äºä»¶ãèµ·ãã | {D} | [] | 7 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãœã«ããœãªLv.17äºä»¶ã¯èµ·ããªããšããããšã¯ãœããœã«Lv.33äºä»¶ãçºçããã fact2: ããœã«ããœã«ãLv.67äºä»¶ã¯çããªãããšããããšã¯ãå€åãæããšããããšãçããããã®äžå
¥æãæããšããããšãèµ·ããããšããããšãåå ã fact3: ãœã«ããœãªLv.17äºä»¶ã¯èµ·ããªã fact4: ããœããœã«Lv.33äºä»¶ããã³å€åãæããšããããšäž¡æ¹ãçããããšããããšã¯ãœã«ããœãªLv.17äºä»¶ã¯èµ·ãããªããšããããšã«ããçãã fact5: ãå
¥æãæããšããããšãèµ·ããããšããããšã¯çå®ã fact6: ãããå€åãæããšããããšã¯çããªãããšããããšã¯äºå®ã§ãããšãããšãœã«ããœã«ãLv.67äºä»¶ãšãœããœã«Lv.33äºä»¶ã©ã¡ãããçãã fact7: ãããããã«ã
Lv.21äºä»¶ãèµ·ããã°ããœã«ããœãªLv.17äºä»¶ã¯çããªããå
¥æãæããšããããšãçããããšããããšã¯äºå®ã§ãªã ; $hypothesis$ = ãœã«ããœã«ãLv.67äºä»¶ã¯èµ·ããªã ; $proof$ = | fact4 & fact3 -> int1: ãœããœã«Lv.33äºä»¶ãšå€åãæããšããããšäž¡æ¹ãšããèµ·ãã; int1 -> int2: å€åãæããšããããšãçºçãã; int2 & fact5 -> int3: å€åãæããšããããšãšå
¥æãæããšããããšãçºçãã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E} -> {A} fact2: ({B} & {C}) -> ¬{D} fact3: ¬{E} fact4: ¬{E} -> ({A} & {B}) fact5: {C} fact6: ¬{B} -> ({D} & {A}) fact7: {F} -> ¬(¬{E} & {C}) ; $hypothesis$ = ¬{D} ; $proof$ = | fact4 & fact3 -> int1: ({A} & {B}); int1 -> int2: {B}; int2 & fact5 -> int3: ({B} & {C}); int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãããã®ããããLv.19ãæå®ãé£ãããã®äžããã¯çããåãããšããããšã¯æãç«ã€ãšããã°ããã®ã¿ãªã¿ã«Lv.63ã¯æ±ºãé£ããªãããšããããšã¯äºå®ãšç°ãªããªãããšããããšã¯åœã | ¬(({A}{a} & {B}{a}) -> ¬{D}{b}) | fact1: ä»®ã«ããã¢ã³ã¹ã¿ãŒãçããåããªãããã¯æå®ãé£ã fact2: ããä»®ã«ãã®ã¿ãªã¿ã«Lv.63ã決ãé£ããããããããçããåããšããããã®ããããLv.19ã¯ä¿ã£ãœããªã fact3: ããã®ããããLv.19ã¯ä¿ã£ãœãããšããããšã¯æãç«ã€ fact4: ããããã®ã¿ãªã¿ã«Lv.63ã空ã
ãããªããšããã°ãã®ã¿ãªã¿ã«Lv.63ã¯çããåãã決ãé£ã fact5: ãããã®ããããLv.19ãä¿ã£ãœãããããçããåãã°ãã®ã¿ãªã¿ã«Lv.63ã¯æ±ºãé£ããªã | fact1: (x): {B}x -> {A}x fact2: ({D}{b} & {B}{b}) -> ¬{C}{a} fact3: {C}{a} fact4: ¬{E}{b} -> ({B}{b} & {D}{b}) fact5: ({C}{a} & {B}{a}) -> ¬{D}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ããããLv.19ã¯æå®ãé£ããããŸãã«çããåã; assump1 -> int1: ãã®ããããLv.19ã¯çããåã; int1 & fact3 -> int2: ãã®ããããLv.19ã¯ä¿ã£ãœããŠå ããŠããã¯çããåã; int2 & fact5 -> int3: ãã®ã¿ãªã¿ã«Lv.63ã¯æ±ºãé£ããªã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: ({A}{a} & {B}{a}); assump1 -> int1: {B}{a}; int1 & fact3 -> int2: ({C}{a} & {B}{a}); int2 & fact5 -> int3: ¬{D}{b}; [assump1] & int3 -> hypothesis;"
] | ãã®ã¿ãªã¿ã«Lv.63ã¯æå®ãé£ããéãæã | ({A}{b} & {HL}{b}) | [
"fact7 -> int4: ä»®ã«ãã®ã¿ãªã¿ã«Lv.63ãçããåããšãããšããã¯æå®ãé£ã;"
] | 5 | 5 | 3 | 5 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ããã¢ã³ã¹ã¿ãŒãçããåããªãããã¯æå®ãé£ã fact2: ããä»®ã«ãã®ã¿ãªã¿ã«Lv.63ã決ãé£ããããããããçããåããšããããã®ããããLv.19ã¯ä¿ã£ãœããªã fact3: ããã®ããããLv.19ã¯ä¿ã£ãœãããšããããšã¯æãç«ã€ fact4: ããããã®ã¿ãªã¿ã«Lv.63ã空ã
ãããªããšããã°ãã®ã¿ãªã¿ã«Lv.63ã¯çããåãã決ãé£ã fact5: ãããã®ããããLv.19ãä¿ã£ãœãããããçããåãã°ãã®ã¿ãªã¿ã«Lv.63ã¯æ±ºãé£ããªã ; $hypothesis$ = ãããã®ããããLv.19ãæå®ãé£ãããã®äžããã¯çããåãããšããããšã¯æãç«ã€ãšããã°ããã®ã¿ãªã¿ã«Lv.63ã¯æ±ºãé£ããªãããšããããšã¯äºå®ãšç°ãªããªãããšããããšã¯åœã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ããããLv.19ã¯æå®ãé£ããããŸãã«çããåã; assump1 -> int1: ãã®ããããLv.19ã¯çããåã; int1 & fact3 -> int2: ãã®ããããLv.19ã¯ä¿ã£ãœããŠå ããŠããã¯çããåã; int2 & fact5 -> int3: ãã®ã¿ãªã¿ã«Lv.63ã¯æ±ºãé£ããªã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {B}x -> {A}x fact2: ({D}{b} & {B}{b}) -> ¬{C}{a} fact3: {C}{a} fact4: ¬{E}{b} -> ({B}{b} & {D}{b}) fact5: ({C}{a} & {B}{a}) -> ¬{D}{b} ; $hypothesis$ = ¬(({A}{a} & {B}{a}) -> ¬{D}{b}) ; $proof$ = | void -> assump1: ({A}{a} & {B}{a}); assump1 -> int1: {B}{a}; int1 & fact3 -> int2: ({C}{a} & {B}{a}); int2 & fact5 -> int3: ¬{D}{b}; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ãã¡ããã®Lv.88ã¯åœãŠä»ãããŸããäžæ¹ã§ããã¯è¿ãããããªãããšããããšã¯æãç«ã€ããšããããšã¯çå®ã§ãªã | ¬({AA}{aa} & ¬{AB}{aa}) | fact1: ãã®ãã¡ããã®Lv.88ã¯åŸ¡åªãããšããããšã¯ãªã fact2: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯åŸ¡åªãããªããšãããšãåœãŠä»ãããŸãããæŽã«ããã¯è¿ãããããªãããšããããšã¯ééã£ãŠãã fact3: ããã®ã¿ã«ãã¿ã«ã
Lv.77ã¯è¿ããããããããæçããªãããšããããšã¯äºå®ãšç°ãªã | fact1: ¬{A}{aa} fact2: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact3: ¬({AB}{fb} & ¬{HF}{fb}) | [
"fact2 -> int1: ããä»®ã«ããã®ãã¡ããã®Lv.88ã¯åŸ¡åªãããªãããšããããšã¯æãç«ãŠã°ãåœãŠä»ãããŸããããããè¿ãããããªãããšããããšã¯äºå®ãšç°ãªã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãã¡ããã®Lv.88ã¯åŸ¡åªãããšããããšã¯ãªã fact2: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯åŸ¡åªãããªããšãããšãåœãŠä»ãããŸãããæŽã«ããã¯è¿ãããããªãããšããããšã¯ééã£ãŠãã fact3: ããã®ã¿ã«ãã¿ã«ã
Lv.77ã¯è¿ããããããããæçããªãããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = ãããã®ãã¡ããã®Lv.88ã¯åœãŠä»ãããŸããäžæ¹ã§ããã¯è¿ãããããªãããšããããšã¯æãç«ã€ããšããããšã¯çå®ã§ãªã ; $proof$ = | fact2 -> int1: ããä»®ã«ããã®ãã¡ããã®Lv.88ã¯åŸ¡åªãããªãããšããããšã¯æãç«ãŠã°ãåœãŠä»ãããŸããããããè¿ãããããªãããšããããšã¯äºå®ãšç°ãªã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{aa} fact2: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact3: ¬({AB}{fb} & ¬{HF}{fb}) ; $hypothesis$ = ¬({AA}{aa} & ¬{AB}{aa}) ; $proof$ = | fact2 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ããããLv.50ã¯äœäžããªã | ¬{E}{b} | fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãæ¶åºãããšãããšããã¯ãã©ã³ã¹äººããã fact2: ãã®ãœã¡ã
ãœã«ã
Lv.12ã¯æ¶åºããããããèšãåºãé£ã fact3: ä»®ã«ããã®ãœã¡ã
ãœã«ã
Lv.12ã¯æ¶åºããããšããããšã¯æãç«ã€ãšãããšåŸ¡è©³ãã fact4: ãããã®ãœã¡ã
ãœã«ã
Lv.12ã¯åŸ¡è©³ãããç解ãèŸãããããã¯äž¡æ¹ã§ãããšããã°ããã®ããããLv.50ã¯äœäžããªãããšããããšã¯çå®ã§ãã fact5: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯èšãåºãé£ããããã埡詳ãããšããããšã¯ãªãããšããããšã¯ééã£ãŠãããšãããããã¯æ¶åºãã fact6: ãã®ã¿ãã¿ã«ãLv.49ã¯èããé£ã | fact1: (x): {A}x -> {DJ}x fact2: ({A}{a} & {B}{a}) fact3: {A}{a} -> {C}{a} fact4: ({C}{a} v {D}{a}) -> ¬{E}{b} fact5: (x): ¬({B}x & ¬{C}x) -> {A}x fact6: {IC}{gf} | [
"fact2 -> int1: ãã®ãœã¡ã
ãœã«ã
Lv.12ã¯æ¶åºãã; int1 & fact3 -> int2: ãã®ãœã¡ã
ãœã«ã
Lv.12ã¯åŸ¡è©³ãã; int2 -> int3: ãã®ãœã¡ã
ãœã«ã
Lv.12ã¯åŸ¡è©³ããããããã¯ããã¯ç解ãèŸã; int3 & fact4 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{a}; int2 -> int3: ({C}{a} v {D}{a}); int3 & fact4 -> hypothesis;"
] | ãã®ã¿ãã¿ã«ãLv.49ã¯èããé£ãããã©ã³ã¹äººããã | ({IC}{gf} & {DJ}{gf}) | [
"fact9 -> int4: ä»®ã«ãã®ã¿ãã¿ã«ãLv.49ãæ¶åºãããªãããã¯ãã©ã³ã¹äººããã; fact7 -> int5: ä»®ã«ããã®ã¿ãã¿ã«ãLv.49ã¯èšãåºãé£ãããã©åŸ¡è©³ãããªãããšããããšã¯åœãªãã°ãã®ã¿ãã¿ã«ãLv.49ã¯æ¶åºãã;"
] | 5 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãæ¶åºãããšãããšããã¯ãã©ã³ã¹äººããã fact2: ãã®ãœã¡ã
ãœã«ã
Lv.12ã¯æ¶åºããããããèšãåºãé£ã fact3: ä»®ã«ããã®ãœã¡ã
ãœã«ã
Lv.12ã¯æ¶åºããããšããããšã¯æãç«ã€ãšãããšåŸ¡è©³ãã fact4: ãããã®ãœã¡ã
ãœã«ã
Lv.12ã¯åŸ¡è©³ãããç解ãèŸãããããã¯äž¡æ¹ã§ãããšããã°ããã®ããããLv.50ã¯äœäžããªãããšããããšã¯çå®ã§ãã fact5: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯èšãåºãé£ããããã埡詳ãããšããããšã¯ãªãããšããããšã¯ééã£ãŠãããšãããããã¯æ¶åºãã fact6: ãã®ã¿ãã¿ã«ãLv.49ã¯èããé£ã ; $hypothesis$ = ãã®ããããLv.50ã¯äœäžããªã ; $proof$ = | fact2 -> int1: ãã®ãœã¡ã
ãœã«ã
Lv.12ã¯æ¶åºãã; int1 & fact3 -> int2: ãã®ãœã¡ã
ãœã«ã
Lv.12ã¯åŸ¡è©³ãã; int2 -> int3: ãã®ãœã¡ã
ãœã«ã
Lv.12ã¯åŸ¡è©³ããããããã¯ããã¯ç解ãèŸã; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x -> {DJ}x fact2: ({A}{a} & {B}{a}) fact3: {A}{a} -> {C}{a} fact4: ({C}{a} v {D}{a}) -> ¬{E}{b} fact5: (x): ¬({B}x & ¬{C}x) -> {A}x fact6: {IC}{gf} ; $hypothesis$ = ¬{E}{b} ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{a}; int2 -> int3: ({C}{a} v {D}{a}); int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã¡ã
Lv.92ã¯æãã£ãœã | {A}{a} | fact1: ããä»®ã«ãã®ãŽã«ãŽã«ã
Lv.43ãæšã¿ããŸãããªãããã¯éŠ¬é¹¿ããã fact2: ãã®ã¿ãã¿ã¡ã
Lv.92ã¯ãã°ãã£ãã fact3: ä»®ã«ãã®ã¿ãã¿ã¡ã
Lv.92ãæãã£ãœããšããããã®ãŽã«ãŽã«ã
Lv.43ã¯æšã¿ããŸãã fact4: ãã®ãŽã«ãŽã«ã
Lv.43ã¯éŠ¬é¹¿ããããªã fact5: ããä»®ã«ãã銬鹿ããããããã蟌ã¿å
¥ããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ã¿ãã¿ã¡ã
Lv.92ã¯éŠ¬é¹¿ããããªã fact6: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯å
¥ãäžããªããšããã°ãããã¯éŠ¬é¹¿ããããããã«èŸŒã¿å
¥ããªãããšããããšã¯èª€ãã fact7: ãã®ãŽããŽã¡ãLv.81ã¯æãã£ãœã | fact1: {B}{b} -> {C}{b} fact2: {DF}{a} fact3: {A}{a} -> {B}{b} fact4: ¬{C}{b} fact5: (x): ¬({C}x & ¬{E}x) -> ¬{C}{a} fact6: (x): ¬{D}x -> ¬({C}x & ¬{E}x) fact7: {A}{c} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã¡ã
Lv.92ã¯æãã£ãœã; fact3 & assump1 -> int1: ãã®ãŽã«ãŽã«ã
Lv.43ã¯æšã¿ããŸãã; int1 & fact1 -> int2: ãã®ãŽã«ãŽã«ã
Lv.43ã¯éŠ¬é¹¿ããã; int2 & fact4 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{b}; int1 & fact1 -> int2: {C}{b}; int2 & fact4 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã¡ã
Lv.92ã¯æãã£ãœã | {A}{a} | [
"fact9 -> int4: ããããã®ãŽããŽã¡ãLv.81ã¯å
¥ãäžãããšããããšã¯ãªããªãã°ããã®ãŽããŽã¡ãLv.81ã¯éŠ¬é¹¿ãããäžæ¹ã§ããã¯èŸŒã¿å
¥ããšããããšã¯ãªãããšããããšã¯æãç«ããªã;"
] | 8 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽã«ãŽã«ã
Lv.43ãæšã¿ããŸãããªãããã¯éŠ¬é¹¿ããã fact2: ãã®ã¿ãã¿ã¡ã
Lv.92ã¯ãã°ãã£ãã fact3: ä»®ã«ãã®ã¿ãã¿ã¡ã
Lv.92ãæãã£ãœããšããããã®ãŽã«ãŽã«ã
Lv.43ã¯æšã¿ããŸãã fact4: ãã®ãŽã«ãŽã«ã
Lv.43ã¯éŠ¬é¹¿ããããªã fact5: ããä»®ã«ãã銬鹿ããããããã蟌ã¿å
¥ããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ã¿ãã¿ã¡ã
Lv.92ã¯éŠ¬é¹¿ããããªã fact6: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯å
¥ãäžããªããšããã°ãããã¯éŠ¬é¹¿ããããããã«èŸŒã¿å
¥ããªãããšããããšã¯èª€ãã fact7: ãã®ãŽããŽã¡ãLv.81ã¯æãã£ãœã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã¡ã
Lv.92ã¯æãã£ãœã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã¡ã
Lv.92ã¯æãã£ãœã; fact3 & assump1 -> int1: ãã®ãŽã«ãŽã«ã
Lv.43ã¯æšã¿ããŸãã; int1 & fact1 -> int2: ãã®ãŽã«ãŽã«ã
Lv.43ã¯éŠ¬é¹¿ããã; int2 & fact4 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{b} -> {C}{b} fact2: {DF}{a} fact3: {A}{a} -> {B}{b} fact4: ¬{C}{b} fact5: (x): ¬({C}x & ¬{E}x) -> ¬{C}{a} fact6: (x): ¬{D}x -> ¬({C}x & ¬{E}x) fact7: {A}{c} ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{b}; int1 & fact1 -> int2: {C}{b}; int2 & fact4 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ã¿ãã¿ãLv.30äºä»¶ã¯çºçããªã | ¬{C} | fact1: è¯ããšããããšãèµ·ãã fact2: å€åãæããšããããšãçºçãã fact3: ãœã«ãœã®Lv.21äºä»¶ãèµ·ãã fact4: å€åãæããšããããšããã³åãé£ããšããããšäž¡æ¹ãçºçãã | fact1: {BO} fact2: {A} fact3: {FB} fact4: ({A} & {B}) | [
"fact4 -> int1: åãé£ããšããããšãçºçãã;"
] | [
"fact4 -> int1: {B};"
] | null | null | [] | null | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: è¯ããšããããšãèµ·ãã fact2: å€åãæããšããããšãçºçãã fact3: ãœã«ãœã®Lv.21äºä»¶ãèµ·ãã fact4: å€åãæããšããããšããã³åãé£ããšããããšäž¡æ¹ãçºçãã ; $hypothesis$ = ã¿ãã¿ãLv.30äºä»¶ã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {BO} fact2: {A} fact3: {FB} fact4: ({A} & {B}) ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸã«Lv.28ã¯æ»ãæããªã | ¬{D}{a} | fact1: ãã®ãŸããŸã«Lv.28ãèŠã
ããããããã¯ããã¯ããã©ãããŸãã¯äž¡æ¹ãšãã§ãããšãããšæ»ãæããªã fact2: ããããã®ã·ãã·ãLv.93ãæµãéãã°ãã®ãŸããŸã«Lv.28ã¯æ»ãæã fact3: ãã®ãŸããŸã«Lv.28ãããã©ããªãã°æ»ãæããªã fact4: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæµãéããšããã°ããã¯èŠã
ãã fact5: ãã®ãŸããŸã«Lv.28ã¯æµãéã fact6: ããã©ãã¢ã³ã¹ã¿ãŒã¯èŠã
ãã | fact1: ({B}{a} v {C}{a}) -> ¬{D}{a} fact2: {A}{b} -> {D}{a} fact3: {C}{a} -> ¬{D}{a} fact4: (x): {A}x -> {B}x fact5: {A}{a} fact6: (x): {C}x -> {B}x | [
"fact4 -> int1: ããããã®ãŸããŸã«Lv.28ãæµãéãã°èŠã
ãã; int1 & fact5 -> int2: ãã®ãŸããŸã«Lv.28ã¯èŠã
ãã; int2 -> int3: ãã®ãŸããŸã«Lv.28ã¯èŠã
ããããããã¯ããã©ããäž¡æ¹ãšãã ; int3 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {A}{a} -> {B}{a}; int1 & fact5 -> int2: {B}{a}; int2 -> int3: ({B}{a} v {C}{a}); int3 & fact1 -> hypothesis;"
] | ãã®ãŸããŸã«Lv.28ã¯æ»ãæã | {D}{a} | [] | 5 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸã«Lv.28ãèŠã
ããããããã¯ããã¯ããã©ãããŸãã¯äž¡æ¹ãšãã§ãããšãããšæ»ãæããªã fact2: ããããã®ã·ãã·ãLv.93ãæµãéãã°ãã®ãŸããŸã«Lv.28ã¯æ»ãæã fact3: ãã®ãŸããŸã«Lv.28ãããã©ããªãã°æ»ãæããªã fact4: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæµãéããšããã°ããã¯èŠã
ãã fact5: ãã®ãŸããŸã«Lv.28ã¯æµãéã fact6: ããã©ãã¢ã³ã¹ã¿ãŒã¯èŠã
ãã ; $hypothesis$ = ãã®ãŸããŸã«Lv.28ã¯æ»ãæããªã ; $proof$ = | fact4 -> int1: ããããã®ãŸããŸã«Lv.28ãæµãéãã°èŠã
ãã; int1 & fact5 -> int2: ãã®ãŸããŸã«Lv.28ã¯èŠã
ãã; int2 -> int3: ãã®ãŸããŸã«Lv.28ã¯èŠã
ããããããã¯ããã©ããäž¡æ¹ãšãã ; int3 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({B}{a} v {C}{a}) -> ¬{D}{a} fact2: {A}{b} -> {D}{a} fact3: {C}{a} -> ¬{D}{a} fact4: (x): {A}x -> {B}x fact5: {A}{a} fact6: (x): {C}x -> {B}x ; $hypothesis$ = ¬{D}{a} ; $proof$ = | fact4 -> int1: {A}{a} -> {B}{a}; int1 & fact5 -> int2: {B}{a}; int2 -> int3: ({B}{a} v {C}{a}); int3 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŸã«ããŸãLv.88ã¯èªçºãæããã©æããããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãã | ¬({G}{e} & ¬{F}{e}) | fact1: ãšããã¢ã³ã¹ã¿ãŒãç©æ²ãããšããããšã¯ãªããªãã°ããã¯ç±ãæããªããŠãã®äžããã¯é æ¯ç¡ã fact2: ãã®ãœããœã«ã
Lv.37ã¯æããããªããšãããããã®ãœããœã«ã
Lv.37ã¯ç°èèããªãããããæœããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact3: ããããã®ã¿ãã¿ã®Lv.74ãç°èèããšãããšãã®ã·ã®ã·ãLv.29ã¯ç±ãæããªã fact4: ãã®ãœããœã«ã
Lv.37ã¯é æ¯ç¡ããŠããŸãã«ç©æ²ãã fact5: ä»®ã«ãã®ããããLv.94ãæœããšããã°ãã®ã¿ãã¿ã®Lv.74ã¯ç°èèã fact6: ãããã®ã·ã®ã·ãLv.29ãç±ãæããªããªãã°ãã®ãŸã«ããŸãLv.88ã¯èªçºãæãããããããã¯æããããªã fact7: ãããã®ãœããœã«ã
Lv.37ãç©æ²ãããªããã®ããããLv.94ã¯æœã fact8: ããã¯é æ¯ç¡ããŠããã¯æœããšããã¢ã³ã¹ã¿ãŒã¯ãªã | fact1: (x): ¬{B}x -> (¬{E}x & {A}x) fact2: ¬{F}{a} -> ¬(¬{D}{a} & ¬{C}{a}) fact3: {D}{c} -> ¬{E}{d} fact4: ({A}{a} & {B}{a}) fact5: {C}{b} -> {D}{c} fact6: ¬{E}{d} -> ({G}{e} & ¬{F}{e}) fact7: {B}{a} -> {C}{b} fact8: (x): ¬({A}x & {C}x) | [
"fact4 -> int1: ãã®ãœããœã«ã
Lv.37ã¯ç©æ²ãã; int1 & fact7 -> int2: ãã®ããããLv.94ã¯æœã; int2 & fact5 -> int3: ãã®ã¿ãã¿ã®Lv.74ã¯ç°èèã; int3 & fact3 -> int4: ãã®ã·ã®ã·ãLv.29ã¯ç±ãæããªã; int4 & fact6 -> hypothesis;"
] | [
"fact4 -> int1: {B}{a}; int1 & fact7 -> int2: {C}{b}; int2 & fact5 -> int3: {D}{c}; int3 & fact3 -> int4: ¬{E}{d}; int4 & fact6 -> hypothesis;"
] | ããã®ãŸã«ããŸãLv.88ã¯èªçºãæããã©æããããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãã | ¬({G}{e} & ¬{F}{e}) | [
"fact9 -> int5: ããã®ãœããœã«ã
Lv.37ã¯é æ¯ç¡ããŠãŸãæœãããšããããšã¯æãç«ããªã;"
] | 5 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãšããã¢ã³ã¹ã¿ãŒãç©æ²ãããšããããšã¯ãªããªãã°ããã¯ç±ãæããªããŠãã®äžããã¯é æ¯ç¡ã fact2: ãã®ãœããœã«ã
Lv.37ã¯æããããªããšãããããã®ãœããœã«ã
Lv.37ã¯ç°èèããªãããããæœããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact3: ããããã®ã¿ãã¿ã®Lv.74ãç°èèããšãããšãã®ã·ã®ã·ãLv.29ã¯ç±ãæããªã fact4: ãã®ãœããœã«ã
Lv.37ã¯é æ¯ç¡ããŠããŸãã«ç©æ²ãã fact5: ä»®ã«ãã®ããããLv.94ãæœããšããã°ãã®ã¿ãã¿ã®Lv.74ã¯ç°èèã fact6: ãããã®ã·ã®ã·ãLv.29ãç±ãæããªããªãã°ãã®ãŸã«ããŸãLv.88ã¯èªçºãæãããããããã¯æããããªã fact7: ãããã®ãœããœã«ã
Lv.37ãç©æ²ãããªããã®ããããLv.94ã¯æœã fact8: ããã¯é æ¯ç¡ããŠããã¯æœããšããã¢ã³ã¹ã¿ãŒã¯ãªã ; $hypothesis$ = ããã®ãŸã«ããŸãLv.88ã¯èªçºãæããã©æããããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãã ; $proof$ = | fact4 -> int1: ãã®ãœããœã«ã
Lv.37ã¯ç©æ²ãã; int1 & fact7 -> int2: ãã®ããããLv.94ã¯æœã; int2 & fact5 -> int3: ãã®ã¿ãã¿ã®Lv.74ã¯ç°èèã; int3 & fact3 -> int4: ãã®ã·ã®ã·ãLv.29ã¯ç±ãæããªã; int4 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{B}x -> (¬{E}x & {A}x) fact2: ¬{F}{a} -> ¬(¬{D}{a} & ¬{C}{a}) fact3: {D}{c} -> ¬{E}{d} fact4: ({A}{a} & {B}{a}) fact5: {C}{b} -> {D}{c} fact6: ¬{E}{d} -> ({G}{e} & ¬{F}{e}) fact7: {B}{a} -> {C}{b} fact8: (x): ¬({A}x & {C}x) ; $hypothesis$ = ¬({G}{e} & ¬{F}{e}) ; $proof$ = | fact4 -> int1: {B}{a}; int1 & fact7 -> int2: {C}{b}; int2 & fact5 -> int3: {D}{c}; int3 & fact3 -> int4: ¬{E}{d}; int4 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã«ãã¿ãLv.85ã¯å€ããæããªã | ¬{D}{b} | fact1: ä»®ã«ãã®ã¿ã«ãã¿ãLv.85ãé Œãç¡ããªãã°ããã¯å€ããæã fact2: ä»®ã«ãã®ãŽã«ããŽã¡ãLv.20ãå²ãé£ããšãããšãã®ã¿ã«ãã¿ãLv.85ã¯é Œãç¡ã fact3: 説æãæãã¢ã³ã¹ã¿ãŒã¯å²ãé£ã fact4: ãã®ãŽã«ããŽã¡ãLv.20ã¯èª¬æãæã | fact1: {C}{b} -> {D}{b} fact2: {B}{a} -> {C}{b} fact3: (x): {A}x -> {B}x fact4: {A}{a} | [
"fact3 -> int1: ãã®ãŽã«ããŽã¡ãLv.20ã説æãæããšããã°ããã¯å²ãé£ã; int1 & fact4 -> int2: ãã®ãŽã«ããŽã¡ãLv.20ã¯å²ãé£ã; int2 & fact2 -> int3: ãã®ã¿ã«ãã¿ãLv.85ã¯é Œãç¡ã; int3 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a} -> {B}{a}; int1 & fact4 -> int2: {B}{a}; int2 & fact2 -> int3: {C}{b}; int3 & fact1 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ã¿ã«ãã¿ãLv.85ãé Œãç¡ããªãã°ããã¯å€ããæã fact2: ä»®ã«ãã®ãŽã«ããŽã¡ãLv.20ãå²ãé£ããšãããšãã®ã¿ã«ãã¿ãLv.85ã¯é Œãç¡ã fact3: 説æãæãã¢ã³ã¹ã¿ãŒã¯å²ãé£ã fact4: ãã®ãŽã«ããŽã¡ãLv.20ã¯èª¬æãæã ; $hypothesis$ = ãã®ã¿ã«ãã¿ãLv.85ã¯å€ããæããªã ; $proof$ = | fact3 -> int1: ãã®ãŽã«ããŽã¡ãLv.20ã説æãæããšããã°ããã¯å²ãé£ã; int1 & fact4 -> int2: ãã®ãŽã«ããŽã¡ãLv.20ã¯å²ãé£ã; int2 & fact2 -> int3: ãã®ã¿ã«ãã¿ãLv.85ã¯é Œãç¡ã; int3 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{b} -> {D}{b} fact2: {B}{a} -> {C}{b} fact3: (x): {A}x -> {B}x fact4: {A}{a} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact3 -> int1: {A}{a} -> {B}{a}; int1 & fact4 -> int2: {B}{a}; int2 & fact2 -> int3: {C}{b}; int3 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸãLv.81ã¯å眮ãããšããããšã¯ãªã | ¬{C}{b} | fact1: ããããã®ãœããœãªLv.22ã¯é¥ãæãããšããããšã¯çå®ã§ãããšããããã®ãã¡ããã¡ã
Lv.39ã¯ä¿ã£ãœã fact2: ãã®ãœããœãªLv.22ã¯ä¿ã£ãœãããã€é¥ãæã fact3: ããããã®ãœããœãªLv.22ã¯ä¿ã£ãœãããšããããšã¯æ¬åœã ãšãããšãã®ãŸããŸãLv.81ã¯å眮ãã | fact1: {B}{a} -> {A}{fu} fact2: ({A}{a} & {B}{a}) fact3: {A}{a} -> {C}{b} | [
"fact2 -> int1: ãã®ãœããœãªLv.22ã¯ä¿ã£ãœã; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact3 -> hypothesis;"
] | ãã®ãã¡ããã¡ã
Lv.39ã¯ä¿ã£ãœã | {A}{fu} | [] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãœããœãªLv.22ã¯é¥ãæãããšããããšã¯çå®ã§ãããšããããã®ãã¡ããã¡ã
Lv.39ã¯ä¿ã£ãœã fact2: ãã®ãœããœãªLv.22ã¯ä¿ã£ãœãããã€é¥ãæã fact3: ããããã®ãœããœãªLv.22ã¯ä¿ã£ãœãããšããããšã¯æ¬åœã ãšãããšãã®ãŸããŸãLv.81ã¯å眮ãã ; $hypothesis$ = ãã®ãŸããŸãLv.81ã¯å眮ãããšããããšã¯ãªã ; $proof$ = | fact2 -> int1: ãã®ãœããœãªLv.22ã¯ä¿ã£ãœã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> {A}{fu} fact2: ({A}{a} & {B}{a}) fact3: {A}{a} -> {C}{b} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã®ã¿ãLv.68ã¯ããããäžæ¹ã§ãã€ããªã | ({AA}{a} & ¬{AB}{a}) | fact1: ãã®ã·ã¡ãã·ãLv.68ã¯åžãã | fact1: {B}{b} | [] | [] | null | null | [] | null | 4 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ã¡ãã·ãLv.68ã¯åžãã ; $hypothesis$ = ãã®ã¿ã®ã¿ãLv.68ã¯ããããäžæ¹ã§ãã€ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{b} ; $hypothesis$ = ({AA}{a} & ¬{AB}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããæºãããªããšããããšãèµ·ãã | {A} | fact1: ä»®ã«ãã¿ã®ã¿ã«ãLv.7äºä»¶ãšãããã¡ã
Lv.85äºä»¶äž¡æ¹ãçããããšããããšã¯åã ãšããã°ã¿ã®ã¿ã«ãLv.7äºä»¶ã¯èµ·ããªã fact2: è»ããããšããããšã¯çºçããªã fact3: ææ
®æ·±ããšããããšãèµ·ãã fact4: 埡瀺ãäžããããšã¯çºçããªã fact5: ãã¿ã®ã¿ã«ãLv.7äºä»¶ã¯çããªãããšããããšã¯æºãããªããšããããšããã³è»ããããšããããšãçãããèªçºãã fact6: ã·ãªã·ãªLv.20äºä»¶ãèµ·ãã | fact1: ¬({C} & {D}) -> ¬{C} fact2: ¬{B} fact3: {HB} fact4: ¬{AH} fact5: ¬{C} -> ({A} & {B}) fact6: {DU} | [] | [] | 以äžã®ããã«ä»®å®ãããæºãããªããšããããšãèµ·ãã | {A} | [] | 7 | 4 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã¿ã®ã¿ã«ãLv.7äºä»¶ãšãããã¡ã
Lv.85äºä»¶äž¡æ¹ãçããããšããããšã¯åã ãšããã°ã¿ã®ã¿ã«ãLv.7äºä»¶ã¯èµ·ããªã fact2: è»ããããšããããšã¯çºçããªã fact3: ææ
®æ·±ããšããããšãèµ·ãã fact4: 埡瀺ãäžããããšã¯çºçããªã fact5: ãã¿ã®ã¿ã«ãLv.7äºä»¶ã¯çããªãããšããããšã¯æºãããªããšããããšããã³è»ããããšããããšãçãããèªçºãã fact6: ã·ãªã·ãªLv.20äºä»¶ãèµ·ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããæºãããªããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({C} & {D}) -> ¬{C} fact2: ¬{B} fact3: {HB} fact4: ¬{AH} fact5: ¬{C} -> ({A} & {B}) fact6: {DU} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã¡ãLv.55ã¯ç·©ãã | {D}{b} | fact1: ããããã®ãŸããŸã«Lv.41ã¯æ»ãæããªãããã©å€ãããããªãã°ããã®ãŸããŸã«Lv.41ã¯æããšããããšã¯ãªãããšããããšã¯æãç«ã€ fact2: ä»®ã«ãã®ãŸããŸã«Lv.41ãæããªããšããããã®ãŽããŽã¡ã
Lv.1ã¯ãã§ããããŸãã¯æ¹é ããããããã¯äž¡æ¹ãšãã§ãã fact3: ãã®ãŽããŽã¡ã
Lv.1ãå¯ãããŠããã«å±
ãå±
ãã°ãã®ã·ãã·ã¡ãLv.55ã¯ç·©ããªã fact4: ããã®ãŽããŽã¡ã
Lv.1ã¯éããªãããã®äžåãç¥ãããªãããšããããšã¯åã§ãããªãã°è§£ãé£ã fact5: ããã®ãŽããŽã¡ã
Lv.1ã¯éããªãããã€ããã¯åãç¥ããããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã fact6: ä»®ã«ããã®ã·ãã·ã¡ãLv.55ã¯è§£ãé£ããªãããããã¯å±
ãå±
ãªãããŸãã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããšããã°ãç·©ããããšããããšã¯æ£ãã fact7: ããã§ããã¢ã³ã¹ã¿ãŒã¯å¯ããããšããããšã¯æãç«ã€ fact8: åŸæãã¢ã³ã¹ã¿ãŒã¯æ»ãæããšããããšã¯ãªããã©å€ãããã fact9: ãã®ãŽããŽã¡ã
Lv.1ã¯å¯ãã | fact1: (¬{H}{c} & {I}{c}) -> ¬{G}{c} fact2: ¬{G}{c} -> ({E}{a} v {F}{a}) fact3: ({C}{a} & {A}{a}) -> ¬{D}{b} fact4: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact5: ¬(¬{AA}{a} & ¬{AB}{a}) fact6: ¬(¬{B}{b} v ¬{A}{b}) -> {D}{b} fact7: (x): {E}x -> {C}x fact8: (x): {J}x -> (¬{H}x & {I}x) fact9: {C}{a} | [
"fact4 & fact5 -> int1: ãã®ãŽããŽã¡ã
Lv.1ã¯è§£ãé£ã;"
] | [
"fact4 & fact5 -> int1: {B}{a};"
] | ãã®ã·ãã·ã¡ãLv.55ã¯ç·©ãã | {D}{b} | [
"fact14 -> int2: ãããã®ã·ãã·ã¡ãLv.55ããã§ãããªãã°å¯ãã; fact11 -> int3: ããä»®ã«ãã®ãŸããŸã«Lv.41ãåŸæããªãã°ããã¯æ»ãæããªããæŽã«å€ãããã;"
] | 8 | 4 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ãŸããŸã«Lv.41ã¯æ»ãæããªãããã©å€ãããããªãã°ããã®ãŸããŸã«Lv.41ã¯æããšããããšã¯ãªãããšããããšã¯æãç«ã€ fact2: ä»®ã«ãã®ãŸããŸã«Lv.41ãæããªããšããããã®ãŽããŽã¡ã
Lv.1ã¯ãã§ããããŸãã¯æ¹é ããããããã¯äž¡æ¹ãšãã§ãã fact3: ãã®ãŽããŽã¡ã
Lv.1ãå¯ãããŠããã«å±
ãå±
ãã°ãã®ã·ãã·ã¡ãLv.55ã¯ç·©ããªã fact4: ããã®ãŽããŽã¡ã
Lv.1ã¯éããªãããã®äžåãç¥ãããªãããšããããšã¯åã§ãããªãã°è§£ãé£ã fact5: ããã®ãŽããŽã¡ã
Lv.1ã¯éããªãããã€ããã¯åãç¥ããããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã fact6: ä»®ã«ããã®ã·ãã·ã¡ãLv.55ã¯è§£ãé£ããªãããããã¯å±
ãå±
ãªãããŸãã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããšããã°ãç·©ããããšããããšã¯æ£ãã fact7: ããã§ããã¢ã³ã¹ã¿ãŒã¯å¯ããããšããããšã¯æãç«ã€ fact8: åŸæãã¢ã³ã¹ã¿ãŒã¯æ»ãæããšããããšã¯ãªããã©å€ãããã fact9: ãã®ãŽããŽã¡ã
Lv.1ã¯å¯ãã ; $hypothesis$ = ãã®ã·ãã·ã¡ãLv.55ã¯ç·©ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{H}{c} & {I}{c}) -> ¬{G}{c} fact2: ¬{G}{c} -> ({E}{a} v {F}{a}) fact3: ({C}{a} & {A}{a}) -> ¬{D}{b} fact4: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact5: ¬(¬{AA}{a} & ¬{AB}{a}) fact6: ¬(¬{B}{b} v ¬{A}{b}) -> {D}{b} fact7: (x): {E}x -> {C}x fact8: (x): {J}x -> (¬{H}x & {I}x) fact9: {C}{a} ; $hypothesis$ = {D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããæããšããããšãçãã | {A} | fact1: ãéžæããæããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªããªã fact2: ããæããšããããšãèµ·ãããéžæããæããšããããšãèµ·ãããšãããšã¿ã«ãã¿ãªLv.89äºä»¶ã¯èµ·ãããªã | fact1: {B} fact2: ({A} & {B}) -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæããšããããšãçãã; assump1 & fact1 -> int1: æããšããããšãšéžæããæããšããããšäž¡æ¹ãšããçºçãã; int1 & fact2 -> int2: ã¿ã«ãã¿ãªLv.89äºä»¶ã¯èµ·ãããªã;"
] | [
"void -> assump1: {A}; assump1 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C};"
] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãéžæããæããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªããªã fact2: ããæããšããããšãèµ·ãããéžæããæããšããããšãèµ·ãããšãããšã¿ã«ãã¿ãªLv.89äºä»¶ã¯èµ·ãããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããæããšããããšãçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} fact2: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãªLv.35ã¯æãã¿ç¡ã | {D}{b} | fact1: ãã®ã¿ãã¿ãªLv.35ã¯éåãã fact2: ãã®ã·ã«ãã·ã¡ã
Lv.84ãå®ç¿ããã°ã©ãé»ã fact3: ãããããã®ã·ã«ãã·ã¡ã
Lv.84ã¯ã©ãé»ãããšããããšã¯åã§ãªããªãã°ãã®ã¿ãã¿ãªLv.35ã¯æãã¿ç¡ã fact4: ãã®ãŽã«ãŽã«Lv.52ã¯æãæã fact5: ãã®ã·ã«ãã·ã¡ã
Lv.84ãéåãããšããã°ããã¯å®ç¿ãã | fact1: {A}{b} fact2: {B}{a} -> {C}{a} fact3: {C}{a} -> {D}{b} fact4: {E}{c} fact5: {A}{a} -> {B}{a} | [] | [] | null | null | [] | null | 4 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã¿ãã¿ãªLv.35ã¯éåãã fact2: ãã®ã·ã«ãã·ã¡ã
Lv.84ãå®ç¿ããã°ã©ãé»ã fact3: ãããããã®ã·ã«ãã·ã¡ã
Lv.84ã¯ã©ãé»ãããšããããšã¯åã§ãªããªãã°ãã®ã¿ãã¿ãªLv.35ã¯æãã¿ç¡ã fact4: ãã®ãŽã«ãŽã«Lv.52ã¯æãæã fact5: ãã®ã·ã«ãã·ã¡ã
Lv.84ãéåãããšããã°ããã¯å®ç¿ãã ; $hypothesis$ = ãã®ã¿ãã¿ãªLv.35ã¯æãã¿ç¡ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{b} fact2: {B}{a} -> {C}{a} fact3: {C}{a} -> {D}{b} fact4: {E}{c} fact5: {A}{a} -> {B}{a} ; $hypothesis$ = {D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŽããŽã«ã
Lv.59ã¯åãæ¿ããããšããããšã¯æ£ãã | {E}{c} | fact1: ãã®ã¿ã®ã¿ã«ã
Lv.51ã¯æ·±ã fact2: ãã®ã·ã®ã·ãªLv.45ã¯åŒãé£ããŠããã«ç±ã£ãœã fact3: ããæ·±ãã¢ã³ã¹ã¿ãŒã§ããããã«é¡è¡ããã¢ã³ã¹ã¿ãŒããããšãããšãã®ã·ã«ã·ã¡ãLv.37ã¯åŒãé£ã fact4: ãããããã®ã¿ã®ã¿ã«ã
Lv.51ã¯åãæ¿ããªããŠå ããŠé¡è¡ãããšããããšã¯ãªãããšããããšã¯çå®ã ãšãããšããã®ãŽããŽã«ã
Lv.59ã¯åãæ¿ããªãããšããããšã¯çå®ã fact5: ãã®ã¿ã®ã¿ã«ã
Lv.51ã¯é¡è¡ãã fact6: ããããã®ãŽããŽã«ã
Lv.59ãåããªããã®ãŽããŽã«ã
Lv.59ã¯åãæ¿ãã fact7: ãã®ã·ã«ã·ã¡ãLv.37ãåŒãé£ããªãã°ãã®ãŽããŽã«ã
Lv.59ã¯åã fact8: ãæ·±ããã¢ã³ã¹ã¿ãŒã¯ãã fact9: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŒãé£ããªããã©é¡è¡ããããšããããšã¯èª€ããªãåŒãé£ã | fact1: {A}{a} fact2: ({C}{dg} & {FU}{dg}) fact3: (x): ({A}x & {B}x) -> {C}{b} fact4: (¬{E}{a} & ¬{B}{a}) -> ¬{E}{c} fact5: {B}{a} fact6: {D}{c} -> {E}{c} fact7: {C}{b} -> {D}{c} fact8: (Ex): {A}x fact9: (x): ¬(¬{C}x & {B}x) -> {C}x | [
"fact1 & fact5 -> int1: ãã®ã¿ã®ã¿ã«ã
Lv.51ã¯æ·±ããããã«é¡è¡ãã; int1 -> int2: ãæ·±ããé¡è¡ãããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact3 -> int3: ãã®ã·ã«ã·ã¡ãLv.37ã¯åŒãé£ã; int3 & fact7 -> int4: ãã®ãŽããŽã«ã
Lv.59ã¯åã; int4 & fact6 -> hypothesis;"
] | [
"fact1 & fact5 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact3 -> int3: {C}{b}; int3 & fact7 -> int4: {D}{c}; int4 & fact6 -> hypothesis;"
] | ãã®ãŸã®ãŸã¡ãLv.88ã¯åŒãé£ã | {C}{go} | [
"fact10 -> int5: ããä»®ã«ããã®ãŸã®ãŸã¡ãLv.88ã¯åŒãé£ããªãããã©é¡è¡ããããšããããšã¯èª€ã£ãŠãããªããã®ãŸã®ãŸã¡ãLv.88ã¯åŒãé£ã;"
] | 4 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ã®ã¿ã«ã
Lv.51ã¯æ·±ã fact2: ãã®ã·ã®ã·ãªLv.45ã¯åŒãé£ããŠããã«ç±ã£ãœã fact3: ããæ·±ãã¢ã³ã¹ã¿ãŒã§ããããã«é¡è¡ããã¢ã³ã¹ã¿ãŒããããšãããšãã®ã·ã«ã·ã¡ãLv.37ã¯åŒãé£ã fact4: ãããããã®ã¿ã®ã¿ã«ã
Lv.51ã¯åãæ¿ããªããŠå ããŠé¡è¡ãããšããããšã¯ãªãããšããããšã¯çå®ã ãšãããšããã®ãŽããŽã«ã
Lv.59ã¯åãæ¿ããªãããšããããšã¯çå®ã fact5: ãã®ã¿ã®ã¿ã«ã
Lv.51ã¯é¡è¡ãã fact6: ããããã®ãŽããŽã«ã
Lv.59ãåããªããã®ãŽããŽã«ã
Lv.59ã¯åãæ¿ãã fact7: ãã®ã·ã«ã·ã¡ãLv.37ãåŒãé£ããªãã°ãã®ãŽããŽã«ã
Lv.59ã¯åã fact8: ãæ·±ããã¢ã³ã¹ã¿ãŒã¯ãã fact9: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŒãé£ããªããã©é¡è¡ããããšããããšã¯èª€ããªãåŒãé£ã ; $hypothesis$ = ããã®ãŽããŽã«ã
Lv.59ã¯åãæ¿ããããšããããšã¯æ£ãã ; $proof$ = | fact1 & fact5 -> int1: ãã®ã¿ã®ã¿ã«ã
Lv.51ã¯æ·±ããããã«é¡è¡ãã; int1 -> int2: ãæ·±ããé¡è¡ãããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact3 -> int3: ãã®ã·ã«ã·ã¡ãLv.37ã¯åŒãé£ã; int3 & fact7 -> int4: ãã®ãŽããŽã«ã
Lv.59ã¯åã; int4 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: ({C}{dg} & {FU}{dg}) fact3: (x): ({A}x & {B}x) -> {C}{b} fact4: (¬{E}{a} & ¬{B}{a}) -> ¬{E}{c} fact5: {B}{a} fact6: {D}{c} -> {E}{c} fact7: {C}{b} -> {D}{c} fact8: (Ex): {A}x fact9: (x): ¬(¬{C}x & {B}x) -> {C}x ; $hypothesis$ = {E}{c} ; $proof$ = | fact1 & fact5 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact3 -> int3: {C}{b}; int3 & fact7 -> int4: {D}{c}; int4 & fact6 -> hypothesis; __PROVED__ |
0.3 | ã·ãã·ãLv.11äºä»¶ãçºçãã | {B} | fact1: ãã埡å¯ããšããããšãçºçãããšããã°ã·ãã·ãLv.11äºä»¶ãèµ·ãã fact2: åšå§ããããšãçãã fact3: éè²ãæããšããããšãçºçãã fact4: ãå å
¥ããããšãèµ·ããããšããããšã¯æãç«ã€ | fact1: {A} -> {B} fact2: {GR} fact3: {IU} fact4: {CI} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã埡å¯ããšããããšãçºçãããšããã°ã·ãã·ãLv.11äºä»¶ãèµ·ãã fact2: åšå§ããããšãçãã fact3: éè²ãæããšããããšãçºçãã fact4: ãå å
¥ããããšãèµ·ããããšããããšã¯æãç«ã€ ; $hypothesis$ = ã·ãã·ãLv.11äºä»¶ãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {B} fact2: {GR} fact3: {IU} fact4: {CI} ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸããŸãLv.19ã¯ç«ã¡åããªãããšããããšã¯æãç«ã€ | ¬{D}{b} | fact1: ããã®ã¿ã«ã¿ã¡ãLv.89ã¯è¡æ€ããããšããããšã¯æãç«ã€ fact2: ãã®ãŸããŸã¡ã
Lv.33ã¯æ©ãæã fact3: ãå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è¡æ€ããããšããããšã¯çå®ã fact4: ããããã¢ã³ã¹ã¿ãŒãå
¥ãèŸãããã®äžè¡æ€ãã fact5: ãããã®ãŸããŸã¡ã
Lv.33ãç«ã¡åããšããããšã¯ãªããå
¥ãèŸããªããšããããã®ãŸããŸãLv.19ã¯ç«ã¡åã fact6: ããã®ãŸããŸã¡ã
Lv.33ã¯å
¥ãèŸããæ©ãæãããšããããšã¯ç¢ºãã§ãããšããã°ãã®ãŸããŸãLv.19ã¯ç«ã¡åããªã | fact1: {B}{fp} fact2: {C}{a} fact3: (x): {B}x fact4: (x): ({A}x & {B}x) fact5: (¬{D}{a} & ¬{A}{a}) -> {D}{b} fact6: ({A}{a} & {C}{a}) -> ¬{D}{b} | [
"fact4 -> int1: ãã®ãŸããŸã¡ã
Lv.33ã¯å
¥ãèŸããŠããã«è¡æ€ãã; int1 -> int2: ãã®ãŸããŸã¡ã
Lv.33ã¯å
¥ãèŸã; int2 & fact2 -> int3: ãã®ãŸããŸã¡ã
Lv.33ã¯å
¥ãèŸãããã®äžæ©ãæã; int3 & fact6 -> hypothesis;"
] | [
"fact4 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {A}{a}; int2 & fact2 -> int3: ({A}{a} & {C}{a}); int3 & fact6 -> hypothesis;"
] | ãã®ãŸããŸãLv.19ã¯ç«ã¡åã | {D}{b} | [] | 5 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããã®ã¿ã«ã¿ã¡ãLv.89ã¯è¡æ€ããããšããããšã¯æãç«ã€ fact2: ãã®ãŸããŸã¡ã
Lv.33ã¯æ©ãæã fact3: ãå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è¡æ€ããããšããããšã¯çå®ã fact4: ããããã¢ã³ã¹ã¿ãŒãå
¥ãèŸãããã®äžè¡æ€ãã fact5: ãããã®ãŸããŸã¡ã
Lv.33ãç«ã¡åããšããããšã¯ãªããå
¥ãèŸããªããšããããã®ãŸããŸãLv.19ã¯ç«ã¡åã fact6: ããã®ãŸããŸã¡ã
Lv.33ã¯å
¥ãèŸããæ©ãæãããšããããšã¯ç¢ºãã§ãããšããã°ãã®ãŸããŸãLv.19ã¯ç«ã¡åããªã ; $hypothesis$ = ããã®ãŸããŸãLv.19ã¯ç«ã¡åããªãããšããããšã¯æãç«ã€ ; $proof$ = | fact4 -> int1: ãã®ãŸããŸã¡ã
Lv.33ã¯å
¥ãèŸããŠããã«è¡æ€ãã; int1 -> int2: ãã®ãŸããŸã¡ã
Lv.33ã¯å
¥ãèŸã; int2 & fact2 -> int3: ãã®ãŸããŸã¡ã
Lv.33ã¯å
¥ãèŸãããã®äžæ©ãæã; int3 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{fp} fact2: {C}{a} fact3: (x): {B}x fact4: (x): ({A}x & {B}x) fact5: (¬{D}{a} & ¬{A}{a}) -> {D}{b} fact6: ({A}{a} & {C}{a}) -> ¬{D}{b} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact4 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {A}{a}; int2 & fact2 -> int3: ({A}{a} & {C}{a}); int3 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãããã®ãœã«ã
ãœã¡ãLv.5ã¯æµãç¶ãããããã«èŒããããšããããšã¯æ£ããããšããããšã¯äºå®ãšç°ãªã | ¬({A}{aa} & {B}{aa}) | fact1: ä»®ã«ãã®ãœã«ã
ãœã¡ãLv.5ã¯æµãç¶ãããšãããããã®ãœã«ã
ãœã¡ãLv.5ã¯æããããšããããšã¯çå®ã§ãã fact2: ãã®ãœã«ã
ãœã¡ãLv.5ã¯æµãç¶ãã fact3: ãã®ãœã«ã
ãœã¡ãLv.5ã¯èŠåãé£ããšãããšãããã®ãœã«ã
ãœã¡ãLv.5ã¯æ
åãããè¡ãæããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯çå®ã ããšããããšã¯æãç«ããªã fact4: ãã®ãœã«ã
ãœã¡ãLv.5ã¯èŠåãé£ã fact5: ããã®ãŸã¡ããŸã«ãLv.42ã¯è¡ãæãããããã¯åæºãæããªãããšããããšã¯ééãã§ãã fact6: ããã®ãŸã«ãŸã¡ã
Lv.19ã¯èŒãããéšã
ãããªãããšããããšã¯æãç«ããªã fact7: ããä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯æ
åããããããã¯ããã¯è¡ãæããªãããããã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠãããšãããšèŒãã | fact1: {A}{aa} -> {FH}{aa} fact2: {A}{aa} fact3: {C}{aa} -> ¬({AA}{aa} v ¬{AB}{aa}) fact4: {C}{aa} fact5: ¬({AB}{dt} v ¬{FR}{dt}) fact6: ¬({B}{dg} v ¬{GD}{dg}) fact7: (x): ¬({AA}x v ¬{AB}x) -> {B}x | [
"fact7 -> int1: ä»®ã«ããã®ãœã«ã
ãœã¡ãLv.5ã¯æ
åããããŸãã¯ããã¯è¡ãæããªãããããã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãããšããã°ãã®ãœã«ã
ãœã¡ãLv.5ã¯èŒãã; fact4 & fact3 -> int2: ããã®ãœã«ã
ãœã¡ãLv.5ã¯æ
åããããããã¯è¡ãæããªããäž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã; int1 & int2 -> int3: ãã®ãœã«ã
ãœã¡ãLv.5ã¯èŒãã; int3 & fact2 -> hypothesis;"
] | [
"fact7 -> int1: ¬({AA}{aa} v ¬{AB}{aa}) -> {B}{aa}; fact4 & fact3 -> int2: ¬({AA}{aa} v ¬{AB}{aa}); int1 & int2 -> int3: {B}{aa}; int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ãœã«ã
ãœã¡ãLv.5ã¯æµãç¶ãããšãããããã®ãœã«ã
ãœã¡ãLv.5ã¯æããããšããããšã¯çå®ã§ãã fact2: ãã®ãœã«ã
ãœã¡ãLv.5ã¯æµãç¶ãã fact3: ãã®ãœã«ã
ãœã¡ãLv.5ã¯èŠåãé£ããšãããšãããã®ãœã«ã
ãœã¡ãLv.5ã¯æ
åãããè¡ãæããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯çå®ã ããšããããšã¯æãç«ããªã fact4: ãã®ãœã«ã
ãœã¡ãLv.5ã¯èŠåãé£ã fact5: ããã®ãŸã¡ããŸã«ãLv.42ã¯è¡ãæãããããã¯åæºãæããªãããšããããšã¯ééãã§ãã fact6: ããã®ãŸã«ãŸã¡ã
Lv.19ã¯èŒãããéšã
ãããªãããšããããšã¯æãç«ããªã fact7: ããä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯æ
åããããããã¯ããã¯è¡ãæããªãããããã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠãããšãããšèŒãã ; $hypothesis$ = ãããã®ãœã«ã
ãœã¡ãLv.5ã¯æµãç¶ãããããã«èŒããããšããããšã¯æ£ããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact7 -> int1: ä»®ã«ããã®ãœã«ã
ãœã¡ãLv.5ã¯æ
åããããŸãã¯ããã¯è¡ãæããªãããããã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãããšããã°ãã®ãœã«ã
ãœã¡ãLv.5ã¯èŒãã; fact4 & fact3 -> int2: ããã®ãœã«ã
ãœã¡ãLv.5ã¯æ
åããããããã¯è¡ãæããªããäž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã; int1 & int2 -> int3: ãã®ãœã«ã
ãœã¡ãLv.5ã¯èŒãã; int3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{aa} -> {FH}{aa} fact2: {A}{aa} fact3: {C}{aa} -> ¬({AA}{aa} v ¬{AB}{aa}) fact4: {C}{aa} fact5: ¬({AB}{dt} v ¬{FR}{dt}) fact6: ¬({B}{dg} v ¬{GD}{dg}) fact7: (x): ¬({AA}x v ¬{AB}x) -> {B}x ; $hypothesis$ = ¬({A}{aa} & {B}{aa}) ; $proof$ = | fact7 -> int1: ¬({AA}{aa} v ¬{AB}{aa}) -> {B}{aa}; fact4 & fact3 -> int2: ¬({AA}{aa} v ¬{AB}{aa}); int1 & int2 -> int3: {B}{aa}; int3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãããä»®ã«ãã®ãŽããŽãLv.8ãèããããšãããšãã®ãŽããŽãLv.8ã¯ç ããããšããããšã¯åã | ¬({A}{a} -> {C}{a}) | fact1: ãããã®ãŽããŽãLv.8ã¯æ³šèŠã»è¿œèŠãããšãããšãç ããããšããããšã¯æ¬åœã fact2: ããããšããã¢ã³ã¹ã¿ãŒã¯æ¿æãããã°ãèãããããšããããšã¯æ£ãã fact3: ããã®ãŽããŽãLv.8ã¯èããããšããããšã¯ãªãããšããããšã¯ééãã§ãããªãã°ãã®ãŽããŽãLv.8ã¯æ³šèŠã»è¿œèŠãã fact4: ãã®ãŸãªãŸã¡ã
Lv.46ã¯æ¿æããããããã«çããã | fact1: {B}{a} -> {C}{a} fact2: (x): {D}x -> {A}x fact3: {A}{a} -> {B}{a} fact4: ({D}{is} & {E}{is}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.8ã¯èããã; fact3 & assump1 -> int1: ãã®ãŽããŽãLv.8ã¯æ³šèŠã»è¿œèŠãã; int1 & fact1 -> int2: ãã®ãŽããŽãLv.8ã¯ç ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{a}; int1 & fact1 -> int2: {C}{a}; [assump1] & int2 -> hypothesis;"
] | ããã®ãŸãªãŸã¡ã
Lv.46ã¯ç ããããšããããšã¯æ¬åœã | {C}{is} | [
"fact5 -> int3: ãã®ãŸãªãŸã¡ã
Lv.46ãæ¿æããããšãããšãã®ãŸãªãŸã¡ã
Lv.46ã¯èããã; fact6 -> int4: ãã®ãŸãªãŸã¡ã
Lv.46ã¯æ¿æããã; int3 & int4 -> int5: ãã®ãŸãªãŸã¡ã
Lv.46ã¯èããã;"
] | 4 | 4 | 3 | 4 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãŽããŽãLv.8ã¯æ³šèŠã»è¿œèŠãããšãããšãç ããããšããããšã¯æ¬åœã fact2: ããããšããã¢ã³ã¹ã¿ãŒã¯æ¿æãããã°ãèãããããšããããšã¯æ£ãã fact3: ããã®ãŽããŽãLv.8ã¯èããããšããããšã¯ãªãããšããããšã¯ééãã§ãããªãã°ãã®ãŽããŽãLv.8ã¯æ³šèŠã»è¿œèŠãã fact4: ãã®ãŸãªãŸã¡ã
Lv.46ã¯æ¿æããããããã«çããã ; $hypothesis$ = ãããä»®ã«ãã®ãŽããŽãLv.8ãèããããšãããšãã®ãŽããŽãLv.8ã¯ç ããããšããããšã¯åã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.8ã¯èããã; fact3 & assump1 -> int1: ãã®ãŽããŽãLv.8ã¯æ³šèŠã»è¿œèŠãã; int1 & fact1 -> int2: ãã®ãŽããŽãLv.8ã¯ç ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> {C}{a} fact2: (x): {D}x -> {A}x fact3: {A}{a} -> {B}{a} fact4: ({D}{is} & {E}{is}) ; $hypothesis$ = ¬({A}{a} -> {C}{a}) ; $proof$ = | void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{a}; int1 & fact1 -> int2: {C}{a}; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ç®èŠãŸãããšããããšã¯çããªã | ¬{F} | fact1: 女ã®åããããšããããšã¯ããå©ãé£ããšããããšã¯çºçããªããçãé£ããšããããšãçããããšããããšã¯æ¬åœã ããšããããšã®ãã£ãããšãªã fact2: ãå¿ã³é£ããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact3: ããä»®ã«ç€Œåæ£ãããšããããšãçºçãããšãããã·ãã·ãLv.30äºä»¶ã§ã¯ãªããŠå¿ã³é£ããšããããšãèµ·ãã fact4: ã瀌åæ£ãããšããããšã§ã¯ãªããŠæ©ããšããããšãèµ·ããããšããããšã¯ç®èŠãŸãããšããããšãé»æ¢ãã fact5: 瀌åæ£ãããšããããšãšæ©ããšããããšãèµ·ãã fact6: æ¯éç¡ããšããããšãèµ·ãã fact7: ç解ãé£ããšããããšã¯çããªããšããããšã¯ãæ¯éç¡ããšããããšãçãããããŸãã«ç®èŠãŸãããšããããšãèµ·ããããšããããšã®ãã£ãããšãªã fact8: ãã¿ãã¿ã«Lv.18äºä»¶ã§ã¯ãªãå°ãç«ã€ããšãèµ·ããããšããããšã¯åãã£ãœããšããããšã¯èµ·ããªããšããããšãåŒãèµ·ãã fact9: ãã·ãã·ãLv.30äºä»¶ãçããªãããã©å¿ã³é£ããšããããšã¯çºçããããšããããšã¯ç解ãé£ããšããããšãåé¿ãã | fact1: {FH} -> (¬{FF} & {ER}) fact2: {C} fact3: {A} -> (¬{D} & {C}) fact4: (¬{A} & {B}) -> ¬{F} fact5: ({A} & {B}) fact6: {G} fact7: ¬{E} -> ({G} & {F}) fact8: (¬{CF} & {FL}) -> ¬{EL} fact9: (¬{D} & {C}) -> ¬{E} | [
"fact5 -> int1: 瀌åæ£ãããšããããšãçºçãã; int1 & fact3 -> int2: ã·ãã·ãLv.30äºä»¶ã¯çºçããªããŠå¿ã³é£ããšããããšãèµ·ãã; int2 & fact9 -> int3: ç解ãé£ããšããããšã¯çããªã; int3 & fact7 -> int4: æ¯éç¡ããšããããšãšç®èŠãŸãããšããããšäž¡æ¹ãèµ·ãã; int4 -> hypothesis;"
] | [
"fact5 -> int1: {A}; int1 & fact3 -> int2: (¬{D} & {C}); int2 & fact9 -> int3: ¬{E}; int3 & fact7 -> int4: ({G} & {F}); int4 -> hypothesis;"
] | ç®èŠãŸãããšããããšã¯çããªã | ¬{F} | [] | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: 女ã®åããããšããããšã¯ããå©ãé£ããšããããšã¯çºçããªããçãé£ããšããããšãçããããšããããšã¯æ¬åœã ããšããããšã®ãã£ãããšãªã fact2: ãå¿ã³é£ããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact3: ããä»®ã«ç€Œåæ£ãããšããããšãçºçãããšãããã·ãã·ãLv.30äºä»¶ã§ã¯ãªããŠå¿ã³é£ããšããããšãèµ·ãã fact4: ã瀌åæ£ãããšããããšã§ã¯ãªããŠæ©ããšããããšãèµ·ããããšããããšã¯ç®èŠãŸãããšããããšãé»æ¢ãã fact5: 瀌åæ£ãããšããããšãšæ©ããšããããšãèµ·ãã fact6: æ¯éç¡ããšããããšãèµ·ãã fact7: ç解ãé£ããšããããšã¯çããªããšããããšã¯ãæ¯éç¡ããšããããšãçãããããŸãã«ç®èŠãŸãããšããããšãèµ·ããããšããããšã®ãã£ãããšãªã fact8: ãã¿ãã¿ã«Lv.18äºä»¶ã§ã¯ãªãå°ãç«ã€ããšãèµ·ããããšããããšã¯åãã£ãœããšããããšã¯èµ·ããªããšããããšãåŒãèµ·ãã fact9: ãã·ãã·ãLv.30äºä»¶ãçããªãããã©å¿ã³é£ããšããããšã¯çºçããããšããããšã¯ç解ãé£ããšããããšãåé¿ãã ; $hypothesis$ = ç®èŠãŸãããšããããšã¯çããªã ; $proof$ = | fact5 -> int1: 瀌åæ£ãããšããããšãçºçãã; int1 & fact3 -> int2: ã·ãã·ãLv.30äºä»¶ã¯çºçããªããŠå¿ã³é£ããšããããšãèµ·ãã; int2 & fact9 -> int3: ç解ãé£ããšããããšã¯çããªã; int3 & fact7 -> int4: æ¯éç¡ããšããããšãšç®èŠãŸãããšããããšäž¡æ¹ãèµ·ãã; int4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {FH} -> (¬{FF} & {ER}) fact2: {C} fact3: {A} -> (¬{D} & {C}) fact4: (¬{A} & {B}) -> ¬{F} fact5: ({A} & {B}) fact6: {G} fact7: ¬{E} -> ({G} & {F}) fact8: (¬{CF} & {FL}) -> ¬{EL} fact9: (¬{D} & {C}) -> ¬{E} ; $hypothesis$ = ¬{F} ; $proof$ = | fact5 -> int1: {A}; int1 & fact3 -> int2: (¬{D} & {C}); int2 & fact9 -> int3: ¬{E}; int3 & fact7 -> int4: ({G} & {F}); int4 -> hypothesis; __DISPROVED__ |
0.3 | ç«ãŠæããšããããšã¯èµ·ããªã | ¬{D} | fact1: éãå§ããããšã¯çºçããªããªãã°ç ãããšããããšããã³çŽåŸãæããšããããšãèµ·ãã fact2: ãããçŽåŸãæããšããããšã¯çºçããªããšããã°ç«ãŠæããšããããšãèµ·ãããç ãããšããããšãèµ·ãã fact3: éãå§ããããšã¯èµ·ãããªã fact4: ãè¡ããæããšããããšãèµ·ããããŸãã¯ç ãããšããããšãèµ·ããããšããããšã¯ç«ãŠæããšããããšã¯èµ·ãããªããšããããšã«ç¹ãã fact5: çŽåŸãæããšããããšãèµ·ãã | fact1: ¬{E} -> ({A} & {B}) fact2: ¬{B} -> ({D} & {A}) fact3: ¬{E} fact4: ({C} v {A}) -> ¬{D} fact5: {B} | [
"fact3 & fact1 -> int1: ç ãããšããããšãçããããããçŽåŸãæããšããããšãèµ·ãã; int1 -> int2: ç ãããšããããšãçºçãã; int2 -> int3: ãè¡ããæããšããããšããããã¯ç ãããšããããšãçºçããããšããããšã¯æãç«ã€; int3 & fact4 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 -> int3: ({C} v {A}); int3 & fact4 -> hypothesis;"
] | ç«ãŠæããšããããšãçãã | {D} | [] | 6 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: éãå§ããããšã¯çºçããªããªãã°ç ãããšããããšããã³çŽåŸãæããšããããšãèµ·ãã fact2: ãããçŽåŸãæããšããããšã¯çºçããªããšããã°ç«ãŠæããšããããšãèµ·ãããç ãããšããããšãèµ·ãã fact3: éãå§ããããšã¯èµ·ãããªã fact4: ãè¡ããæããšããããšãèµ·ããããŸãã¯ç ãããšããããšãèµ·ããããšããããšã¯ç«ãŠæããšããããšã¯èµ·ãããªããšããããšã«ç¹ãã fact5: çŽåŸãæããšããããšãèµ·ãã ; $hypothesis$ = ç«ãŠæããšããããšã¯èµ·ããªã ; $proof$ = | fact3 & fact1 -> int1: ç ãããšããããšãçããããããçŽåŸãæããšããããšãèµ·ãã; int1 -> int2: ç ãããšããããšãçºçãã; int2 -> int3: ãè¡ããæããšããããšããããã¯ç ãããšããããšãçºçããããšããããšã¯æãç«ã€; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E} -> ({A} & {B}) fact2: ¬{B} -> ({D} & {A}) fact3: ¬{E} fact4: ({C} v {A}) -> ¬{D} fact5: {B} ; $hypothesis$ = ¬{D} ; $proof$ = | fact3 & fact1 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 -> int3: ({C} v {A}); int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽãªãŽã¡ãLv.45ã¯æããããªã | ¬{B}{a} | fact1: ãã®ã·ãã·ã«Lv.26ã¯éã
ããããŸãã¯ããã¯å³éžãã fact2: ããã®ãŽãªãŽã¡ãLv.45ã¯ã¢ã¡ãªã«ããããªãããšããããšã¯æãç«ã€ãšãããšãã®ãŽãªãŽã¡ãLv.45ã¯æããããããã«åŸ¡å®ã fact3: ãã®ã·ãªã·ã«ãLv.59ã¯ã¢ã¡ãªã«ããã fact4: ããä»®ã«ãã®ãŽãªãŽã¡ãLv.45ã埡å®ãããŸãã¯ãããæãããããããã¯äž¡æ¹ãšãã§ãããšããã°ãã®ã·ãªã·ã«ãLv.59ã¯ã¢ã¡ãªã«ããããªã | fact1: ({GQ}{hb} v {DD}{hb}) fact2: ¬{C}{a} -> ({B}{a} & {A}{a}) fact3: {C}{b} fact4: ({A}{a} v {B}{a}) -> ¬{C}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽãªãŽã¡ãLv.45ã¯æããã; assump1 -> int1: ããã®ãŽãªãŽã¡ãLv.45ã¯åŸ¡å®ãããããã¯æãããããšããããšã¯äºå®ã§ãã; int1 & fact4 -> int2: ãã®ã·ãªã·ã«ãLv.59ã¯ã¢ã¡ãªã«ããããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact4 -> int2: ¬{C}{b}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ãŽãªãŽã¡ãLv.45ã¯æããã | {B}{a} | [] | 5 | 5 | 3 | 5 | 3 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ã«Lv.26ã¯éã
ããããŸãã¯ããã¯å³éžãã fact2: ããã®ãŽãªãŽã¡ãLv.45ã¯ã¢ã¡ãªã«ããããªãããšããããšã¯æãç«ã€ãšãããšãã®ãŽãªãŽã¡ãLv.45ã¯æããããããã«åŸ¡å®ã fact3: ãã®ã·ãªã·ã«ãLv.59ã¯ã¢ã¡ãªã«ããã fact4: ããä»®ã«ãã®ãŽãªãŽã¡ãLv.45ã埡å®ãããŸãã¯ãããæãããããããã¯äž¡æ¹ãšãã§ãããšããã°ãã®ã·ãªã·ã«ãLv.59ã¯ã¢ã¡ãªã«ããããªã ; $hypothesis$ = ãã®ãŽãªãŽã¡ãLv.45ã¯æããããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽãªãŽã¡ãLv.45ã¯æããã; assump1 -> int1: ããã®ãŽãªãŽã¡ãLv.45ã¯åŸ¡å®ãããããã¯æãããããšããããšã¯äºå®ã§ãã; int1 & fact4 -> int2: ãã®ã·ãªã·ã«ãLv.59ã¯ã¢ã¡ãªã«ããããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({GQ}{hb} v {DD}{hb}) fact2: ¬{C}{a} -> ({B}{a} & {A}{a}) fact3: {C}{b} fact4: ({A}{a} v {B}{a}) -> ¬{C}{b} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | void -> assump1: {B}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact4 -> int2: ¬{C}{b}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ã·ã«ã·ãLv.82äºä»¶ã¯çããªã | ¬{A} | fact1: ã¿ãã¿ãLv.76äºä»¶ãçãã fact2: ããã·ãã·ã«ãLv.33äºä»¶ãèµ·ããªããšããã°ã¿ãã¿ãLv.76äºä»¶ãçããªããŠå ããŠãŽã®ãŽã®Lv.25äºä»¶ã¯èµ·ãããªã fact3: ããããã¿ãã¿ãLv.76äºä»¶ã¯èµ·ããªããšãããšãœã«ããœã®Lv.85äºä»¶ããã³ã·ã«ã·ãLv.82äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact4: ãŽã®ãŽã®Lv.25äºä»¶ãçºçãã | fact1: {B} fact2: ¬{D} -> (¬{B} & ¬{C}) fact3: ¬{B} -> ({CB} & {A}) fact4: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ã«ã·ãLv.82äºä»¶ãçºçãã; assump1 & fact1 -> int1: ã·ã«ã·ãLv.82äºä»¶ãçãããããã«ã¿ãã¿ãLv.76äºä»¶ãçãã;"
] | [
"void -> assump1: {A}; assump1 & fact1 -> int1: ({A} & {B});"
] | ããœã«ããœã®Lv.85äºä»¶ãçããããšããããšã¯æãç«ã€ | {CB} | [] | 7 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã¿ãã¿ãLv.76äºä»¶ãçãã fact2: ããã·ãã·ã«ãLv.33äºä»¶ãèµ·ããªããšããã°ã¿ãã¿ãLv.76äºä»¶ãçããªããŠå ããŠãŽã®ãŽã®Lv.25äºä»¶ã¯èµ·ãããªã fact3: ããããã¿ãã¿ãLv.76äºä»¶ã¯èµ·ããªããšãããšãœã«ããœã®Lv.85äºä»¶ããã³ã·ã«ã·ãLv.82äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact4: ãŽã®ãŽã®Lv.25äºä»¶ãçºçãã ; $hypothesis$ = ã·ã«ã·ãLv.82äºä»¶ã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} fact2: ¬{D} -> (¬{B} & ¬{C}) fact3: ¬{B} -> ({CB} & {A}) fact4: {C} ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã®ãœã«ã
Lv.48ã¯é¡§æ
®ãã | {A}{a} | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æªè³¢ã fact2: ãã®ãŽããŽãLv.34ã¯é¡§æ
®ãã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯é¡§æ
®ãã fact4: ããä»®ã«ãã®ãŸã¡ããŸã¡ãLv.66ãèã£ãºãããšããããšã¯ãªããªãã°ãã®ãœã®ãœã«ã
Lv.48ã¯é¡§æ
®ããªããå ããŠã¢ã¯ã»ã¹ãæããªã | fact1: (x): {JF}x fact2: {A}{bb} fact3: (x): {A}x fact4: ¬{C}{b} -> (¬{A}{a} & ¬{B}{a}) | [
"fact3 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯é¡§æ
®ãã; int1 -> hypothesis;"
] | [
"fact3 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ãœã®ãœã«ã
Lv.48ã¯é¡§æ
®ããªã | ¬{A}{a} | [] | 5 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æªè³¢ã fact2: ãã®ãŽããŽãLv.34ã¯é¡§æ
®ãã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯é¡§æ
®ãã fact4: ããä»®ã«ãã®ãŸã¡ããŸã¡ãLv.66ãèã£ãºãããšããããšã¯ãªããªãã°ãã®ãœã®ãœã«ã
Lv.48ã¯é¡§æ
®ããªããå ããŠã¢ã¯ã»ã¹ãæããªã ; $hypothesis$ = ãã®ãœã®ãœã«ã
Lv.48ã¯é¡§æ
®ãã ; $proof$ = | fact3 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯é¡§æ
®ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {JF}x fact2: {A}{bb} fact3: (x): {A}x fact4: ¬{C}{b} -> (¬{A}{a} & ¬{B}{a}) ; $hypothesis$ = {A}{a} ; $proof$ = | fact3 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ã«ãã¿ã¡ãLv.18ã¯æèäŒã£ãœããçãé£ã | ({A}{a} & {C}{a}) | fact1: ãã®ã¿ã«ãã¿ã¡ãLv.18ã¯æèäŒã£ãœãããã€é£ã¹æã fact2: ãã®ã¿ã«ãã¿ã¡ãLv.18ã¯çãé£ã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æåãæããªã fact4: ãã®ãŽããŽã«ãLv.86ã¯çãé£ã fact5: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯æåãæããªããªã皌ãåºãã溶ã | fact1: ({A}{a} & {B}{a}) fact2: {C}{a} fact3: (x): ¬{F}x fact4: {C}{ij} fact5: (x): ¬{F}x -> ({E}x & {D}x) | [
"fact1 -> int1: ãã®ã¿ã«ãã¿ã¡ãLv.18ã¯æèäŒã£ãœã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ããã®ã¿ã«ãã¿ã¡ãLv.18ã¯æèäŒã£ãœããŠçãé£ãããšããããšã¯åœã§ãã | ¬({A}{a} & {C}{a}) | [
"fact6 -> int2: ãããã®ã¿ã«ãã¿ãLv.1ã¯æåãæããªããªãã°ããã¯çšŒãåºãããã€æº¶ã; fact7 -> int3: ãã®ã¿ã«ãã¿ãLv.1ã¯æåãæããªã; int2 & int3 -> int4: ãã®ã¿ã«ãã¿ãLv.1ã¯çšŒãåºããå ããŠæº¶ã; int4 -> int5: ããããã¢ã³ã¹ã¿ãŒã¯çšŒãåºãã溶ã; int5 -> int6: ãã®ãŸã¡ããŸãªLv.14ã¯çšŒãåºããããŸãã«æº¶ã; int6 -> int7: ãã®ãŸã¡ããŸãªLv.14ã¯æº¶ã; int7 -> int8: äœããã®ã¢ã³ã¹ã¿ãŒã¯æº¶ã;"
] | 8 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ã«ãã¿ã¡ãLv.18ã¯æèäŒã£ãœãããã€é£ã¹æã fact2: ãã®ã¿ã«ãã¿ã¡ãLv.18ã¯çãé£ã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æåãæããªã fact4: ãã®ãŽããŽã«ãLv.86ã¯çãé£ã fact5: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯æåãæããªããªã皌ãåºãã溶ã ; $hypothesis$ = ãã®ã¿ã«ãã¿ã¡ãLv.18ã¯æèäŒã£ãœããçãé£ã ; $proof$ = | fact1 -> int1: ãã®ã¿ã«ãã¿ã¡ãLv.18ã¯æèäŒã£ãœã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {C}{a} fact3: (x): ¬{F}x fact4: {C}{ij} fact5: (x): ¬{F}x -> ({E}x & {D}x) ; $hypothesis$ = ({A}{a} & {C}{a}) ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãããã¡ã
Lv.33ã¯å¬ãããªã | ¬{G}{d} | fact1: ããã®ãã®ãã«Lv.65ã¯éèŠããã軜ãããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ã€ fact2: ããä»®ã«ãã®ã·ãã·ãLv.14ãå«æªãããä¿æå¢é²ããã°ãã®ãããã¡ã
Lv.33ã¯å¬ãããªã fact3: ãããã®ã·ãã·ãLv.14ãå¬ãããªããã®ã¿ã«ãã¿ã¡ã
Lv.91ã¯å¬ãã fact4: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ã
Lv.91ãå¬ãããšããããã®ãããã¡ã
Lv.33ã¯å¬ãã fact5: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ã
Lv.91ãæå³ãããšããã°ãã®ãã®ãã«Lv.65ã¯éèŠãã fact6: ãã®ãã®ãã«Lv.65ãæå³ãããšããããšã¯ãªããªããã®ã·ãã·ãLv.14ã¯å¬ãããæŽã«ããã¯è»œã fact7: ãããã®ã¿ã«ãã¿ã¡ã
Lv.91ã軜ããšãããšãã®ãã®ãã«Lv.65ã¯éèŠãã fact8: ããä»®ã«ãã®ã·ãã·ãLv.14ããã£ããããšããã°ãã®ã·ãã·ãLv.14ã¯ä¿æå¢é²ãã fact9: ãã®ã·ãã·ãLv.14ã¯å«æªãã fact10: ããä»®ã«ãã®ãã®ãã«Lv.65ãéèŠãããªãã°ãã®ã·ãã·ãLv.14ã¯ãã£ããã | fact1: ({C}{c} v {A}{c}) fact2: ({F}{b} & {E}{b}) -> ¬{G}{d} fact3: {G}{b} -> {G}{a} fact4: {G}{a} -> {G}{d} fact5: {B}{a} -> {C}{c} fact6: ¬{B}{c} -> ({G}{b} & {A}{b}) fact7: {A}{a} -> {C}{c} fact8: {D}{b} -> {E}{b} fact9: {F}{b} fact10: {C}{c} -> {D}{b} | [] | [] | ãã®ãããã¡ã
Lv.33ã¯å¬ãã | {G}{d} | [] | 8 | 5 | 5 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããã®ãã®ãã«Lv.65ã¯éèŠããã軜ãããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ã€ fact2: ããä»®ã«ãã®ã·ãã·ãLv.14ãå«æªãããä¿æå¢é²ããã°ãã®ãããã¡ã
Lv.33ã¯å¬ãããªã fact3: ãããã®ã·ãã·ãLv.14ãå¬ãããªããã®ã¿ã«ãã¿ã¡ã
Lv.91ã¯å¬ãã fact4: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ã
Lv.91ãå¬ãããšããããã®ãããã¡ã
Lv.33ã¯å¬ãã fact5: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ã
Lv.91ãæå³ãããšããã°ãã®ãã®ãã«Lv.65ã¯éèŠãã fact6: ãã®ãã®ãã«Lv.65ãæå³ãããšããããšã¯ãªããªããã®ã·ãã·ãLv.14ã¯å¬ãããæŽã«ããã¯è»œã fact7: ãããã®ã¿ã«ãã¿ã¡ã
Lv.91ã軜ããšãããšãã®ãã®ãã«Lv.65ã¯éèŠãã fact8: ããä»®ã«ãã®ã·ãã·ãLv.14ããã£ããããšããã°ãã®ã·ãã·ãLv.14ã¯ä¿æå¢é²ãã fact9: ãã®ã·ãã·ãLv.14ã¯å«æªãã fact10: ããä»®ã«ãã®ãã®ãã«Lv.65ãéèŠãããªãã°ãã®ã·ãã·ãLv.14ã¯ãã£ããã ; $hypothesis$ = ãã®ãããã¡ã
Lv.33ã¯å¬ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({C}{c} v {A}{c}) fact2: ({F}{b} & {E}{b}) -> ¬{G}{d} fact3: {G}{b} -> {G}{a} fact4: {G}{a} -> {G}{d} fact5: {B}{a} -> {C}{c} fact6: ¬{B}{c} -> ({G}{b} & {A}{b}) fact7: {A}{a} -> {C}{c} fact8: {D}{b} -> {E}{b} fact9: {F}{b} fact10: {C}{c} -> {D}{b} ; $hypothesis$ = ¬{G}{d} ; $proof$ = | __UNKNOWN__ |
0.3 | ãå«å³ã£ãœããšããããšããã³ãœã«ã
ãœãLv.45äºä»¶äž¡æ¹ãçããããšããããšã¯åã | ¬({E} & {F}) | fact1: ã¿ã¡ãã¿ãLv.9äºä»¶ã¯äººéã£ãœããšããããšã¯èµ·ããªããšããããšãé²ã fact2: ã¿ã¡ãã¿ãLv.9äºä»¶ã¯èµ·ãããªããšããããšã¯æã蟌ãããšã«é»æ¢ããã fact3: ããä»®ã«ã±ã£ã¡ãããããšãèµ·ãããªãæã蟌ãããšãèµ·ãã fact4: ããä»®ã«ã±ã£ã¡ãããããšã¯çããªããªããå«å³ã£ãœããšããããšãšãœã«ã
ãœãLv.45äºä»¶ãçããããšããããšã¯ééãã fact5: ãœã«ã
ãœãLv.45äºä»¶ãçãã fact6: ã±ã£ã¡ãããããšãèµ·ãã fact7: 人éã£ãœããšããããšã¯å«å³ã£ãœããšããããšã¯èµ·ãããªããšããããšãé»æ¢ãã | fact1: {C} -> {D} fact2: {B} -> {C} fact3: {A} -> {B} fact4: ¬{A} -> ¬({E} & {F}) fact5: {F} fact6: {A} fact7: {D} -> {E} | [
"fact3 & fact6 -> int1: æã蟌ãããšãèµ·ãã; int1 & fact2 -> int2: ã¿ã¡ãã¿ãLv.9äºä»¶ãçãã; int2 & fact1 -> int3: 人éã£ãœããšããããšãèµ·ãã; int3 & fact7 -> int4: å«å³ã£ãœããšããããšãèµ·ãã; int4 & fact5 -> hypothesis;"
] | [
"fact3 & fact6 -> int1: {B}; int1 & fact2 -> int2: {C}; int2 & fact1 -> int3: {D}; int3 & fact7 -> int4: {E}; int4 & fact5 -> hypothesis;"
] | ãå«å³ã£ãœããšããããšããã³ãœã«ã
ãœãLv.45äºä»¶äž¡æ¹ãçããããšããããšã¯åã | ¬({E} & {F}) | [] | 6 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã¿ã¡ãã¿ãLv.9äºä»¶ã¯äººéã£ãœããšããããšã¯èµ·ããªããšããããšãé²ã fact2: ã¿ã¡ãã¿ãLv.9äºä»¶ã¯èµ·ãããªããšããããšã¯æã蟌ãããšã«é»æ¢ããã fact3: ããä»®ã«ã±ã£ã¡ãããããšãèµ·ãããªãæã蟌ãããšãèµ·ãã fact4: ããä»®ã«ã±ã£ã¡ãããããšã¯çããªããªããå«å³ã£ãœããšããããšãšãœã«ã
ãœãLv.45äºä»¶ãçããããšããããšã¯ééãã fact5: ãœã«ã
ãœãLv.45äºä»¶ãçãã fact6: ã±ã£ã¡ãããããšãèµ·ãã fact7: 人éã£ãœããšããããšã¯å«å³ã£ãœããšããããšã¯èµ·ãããªããšããããšãé»æ¢ãã ; $hypothesis$ = ãå«å³ã£ãœããšããããšããã³ãœã«ã
ãœãLv.45äºä»¶äž¡æ¹ãçããããšããããšã¯åã ; $proof$ = | fact3 & fact6 -> int1: æã蟌ãããšãèµ·ãã; int1 & fact2 -> int2: ã¿ã¡ãã¿ãLv.9äºä»¶ãçãã; int2 & fact1 -> int3: 人éã£ãœããšããããšãèµ·ãã; int3 & fact7 -> int4: å«å³ã£ãœããšããããšãèµ·ãã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} -> {D} fact2: {B} -> {C} fact3: {A} -> {B} fact4: ¬{A} -> ¬({E} & {F}) fact5: {F} fact6: {A} fact7: {D} -> {E} ; $hypothesis$ = ¬({E} & {F}) ; $proof$ = | fact3 & fact6 -> int1: {B}; int1 & fact2 -> int2: {C}; int2 & fact1 -> int3: {D}; int3 & fact7 -> int4: {E}; int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸãLv.61ã¯åºã | {E}{c} | fact1: ãããç«ã¡åããæŽã«ã€ã¹ãããã¢ã³ã¹ã¿ãŒããããšããããã®ãŸããŸãLv.61ã¯åºããªã fact2: ãã®ã·ãã·ãLv.83ãæ°ããšããã°ããã¯ç«ã¡åã fact3: ãã®ã·ãã·ãLv.83ã¯ã€ã¹ãã fact4: ãšããã¢ã³ã¹ã¿ãŒã¯ã€ã¹ãã fact5: ãã®ã·ãã·ãLv.63ã¯éãããããŸãã«ã€ã¹ãã fact6: ãã®ãã¡ã
ãã«Lv.67ã¯ç«ã¡åããšãããããã®ãŸããŸãLv.61ã¯å³ããªããããã«æ°ããªãããšããããšã¯åã§ãã fact7: ããä»®ã«ãã®ãã¡ã
ãã«Lv.67ã¯ç«ã¡åããšãããããã®ã·ãã·ãLv.19ã¯æ°ããªããå³ããªãããšããããšã¯èª€ãã§ãã fact8: ãã®ãã¡ã
ãã«Lv.67ã¯å³ã fact9: ãããã¢ã³ã¹ã¿ãŒã¯å³ããªããå ããŠæ°ããªãããšããããšã¯æãç«ããªããªãã°åºã | fact1: (x): ({C}x & {D}x) -> ¬{E}{c} fact2: {B}{b} -> {C}{b} fact3: {D}{b} fact4: (Ex): {D}x fact5: ({AE}{bl} & {D}{bl}) fact6: {C}{a} -> ¬(¬{A}{c} & ¬{B}{c}) fact7: {C}{a} -> ¬(¬{B}{fu} & ¬{A}{fu}) fact8: {A}{a} fact9: (x): ¬(¬{A}x & ¬{B}x) -> {E}x | [] | [] | ãã®ãŸããŸãLv.61ã¯åºã | {E}{c} | [
"fact10 -> int1: ããã®ãŸããŸãLv.61ã¯å³ããªãããã®äžæ°ããªãããšããããšã¯åã§ãããªãã°ããã¯åºã;"
] | 5 | 5 | 5 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããç«ã¡åããæŽã«ã€ã¹ãããã¢ã³ã¹ã¿ãŒããããšããããã®ãŸããŸãLv.61ã¯åºããªã fact2: ãã®ã·ãã·ãLv.83ãæ°ããšããã°ããã¯ç«ã¡åã fact3: ãã®ã·ãã·ãLv.83ã¯ã€ã¹ãã fact4: ãšããã¢ã³ã¹ã¿ãŒã¯ã€ã¹ãã fact5: ãã®ã·ãã·ãLv.63ã¯éãããããŸãã«ã€ã¹ãã fact6: ãã®ãã¡ã
ãã«Lv.67ã¯ç«ã¡åããšãããããã®ãŸããŸãLv.61ã¯å³ããªããããã«æ°ããªãããšããããšã¯åã§ãã fact7: ããä»®ã«ãã®ãã¡ã
ãã«Lv.67ã¯ç«ã¡åããšãããããã®ã·ãã·ãLv.19ã¯æ°ããªããå³ããªãããšããããšã¯èª€ãã§ãã fact8: ãã®ãã¡ã
ãã«Lv.67ã¯å³ã fact9: ãããã¢ã³ã¹ã¿ãŒã¯å³ããªããå ããŠæ°ããªãããšããããšã¯æãç«ããªããªãã°åºã ; $hypothesis$ = ãã®ãŸããŸãLv.61ã¯åºã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ({C}x & {D}x) -> ¬{E}{c} fact2: {B}{b} -> {C}{b} fact3: {D}{b} fact4: (Ex): {D}x fact5: ({AE}{bl} & {D}{bl}) fact6: {C}{a} -> ¬(¬{A}{c} & ¬{B}{c}) fact7: {C}{a} -> ¬(¬{B}{fu} & ¬{A}{fu}) fact8: {A}{a} fact9: (x): ¬(¬{A}x & ¬{B}x) -> {E}x ; $hypothesis$ = {E}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœããœã«ã
Lv.65ã¯æ¯ã
ãããªããå°ãªã | (¬{B}{b} & {AA}{b}) | fact1: ããä»®ã«ãã®ãŽã¡ã
ãŽã®Lv.72ãåé¢ãæããšããããã®ã¿ãã¿ãLv.20ã¯äžãããªã fact2: ããããã®ã¿ãã¿ãLv.20ãäžãããªããªãã°ãã®ãœããœã«ã
Lv.65ã¯å°ãªããå ããŠéªéèã fact3: ãã®ãœããœã«ã
Lv.65ã¯éªéèã fact4: ãã®ãŽã¡ã
ãŽã®Lv.72ã¯åé¢ãæã fact5: ãã®ã¿ãã¿ãLv.20ã¯å°ãªã fact6: ãã®ãœããœã«ã
Lv.65ã¯æ¯ã
ãããªã | fact1: {C}{c} -> ¬{A}{a} fact2: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact3: {AB}{b} fact4: {C}{c} fact5: {AA}{a} fact6: ¬{B}{b} | [
"fact4 & fact1 -> int1: ãã®ã¿ãã¿ãLv.20ã¯äžãããªã; fact2 & int1 -> int2: ãã®ãœããœã«ã
Lv.65ã¯å°ãªããããã«éªéèã; int2 -> int3: ãã®ãœããœã«ã
Lv.65ã¯å°ãªã; int3 & fact6 -> hypothesis;"
] | [
"fact4 & fact1 -> int1: ¬{A}{a}; fact2 & int1 -> int2: ({AA}{b} & {AB}{b}); int2 -> int3: {AA}{b}; int3 & fact6 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ããä»®ã«ãã®ãŽã¡ã
ãŽã®Lv.72ãåé¢ãæããšããããã®ã¿ãã¿ãLv.20ã¯äžãããªã fact2: ããããã®ã¿ãã¿ãLv.20ãäžãããªããªãã°ãã®ãœããœã«ã
Lv.65ã¯å°ãªããå ããŠéªéèã fact3: ãã®ãœããœã«ã
Lv.65ã¯éªéèã fact4: ãã®ãŽã¡ã
ãŽã®Lv.72ã¯åé¢ãæã fact5: ãã®ã¿ãã¿ãLv.20ã¯å°ãªã fact6: ãã®ãœããœã«ã
Lv.65ã¯æ¯ã
ãããªã ; $hypothesis$ = ãã®ãœããœã«ã
Lv.65ã¯æ¯ã
ãããªããå°ãªã ; $proof$ = | fact4 & fact1 -> int1: ãã®ã¿ãã¿ãLv.20ã¯äžãããªã; fact2 & int1 -> int2: ãã®ãœããœã«ã
Lv.65ã¯å°ãªããããã«éªéèã; int2 -> int3: ãã®ãœããœã«ã
Lv.65ã¯å°ãªã; int3 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{c} -> ¬{A}{a} fact2: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact3: {AB}{b} fact4: {C}{c} fact5: {AA}{a} fact6: ¬{B}{b} ; $hypothesis$ = (¬{B}{b} & {AA}{b}) ; $proof$ = | fact4 & fact1 -> int1: ¬{A}{a}; fact2 & int1 -> int2: ({AA}{b} & {AB}{b}); int2 -> int3: {AA}{b}; int3 & fact6 -> hypothesis; __PROVED__ |
0.3 | ããããã®ã·ãã·ãLv.82ãè¡æ£èããªãã°ãã®ãŸã¡ã
ãŸãLv.13ã¯ä¿¡ãé£ã | {A}{a} -> {B}{b} | fact1: ä»®ã«ãã®ãŽã«ããŽãLv.1ãæ²ãããªããšãããšãã®ãŽã«ããŽãLv.1ã¯ä¿¡ãé£ããªã fact2: ãã®ã·ãã·ãLv.82ãè¡æ£èããªããã®ãŸã¡ã
ãŸãLv.13ã¯å
¥ãæãããã©éããæããšããããšã¯ãªã fact3: ãã®ãŸã¡ã
ãŸãLv.13ã¯éããæããªã fact4: ããããã®ãŸã¡ã
ãŸãLv.13ãå
¥ãæããéããæããšããã°ãã®ãŸã¡ã
ãŸãLv.13ã¯ä¿¡ãé£ã fact5: ãã®ãŸã¡ã
ãŸãLv.13ã¯å
¥ãæããéããæããšããããšã¯ãªããšãããšä¿¡ãé£ã fact6: ãã®ãœãªãœã«ãLv.90ã¯è¡æ£èã fact7: ãã®ã·ãã·ãLv.82ã¯æ··åãæã | fact1: ¬{C}{gj} -> ¬{B}{gj} fact2: {A}{a} -> ({AA}{b} & ¬{AB}{b}) fact3: ¬{AB}{b} fact4: ({AA}{b} & {AB}{b}) -> {B}{b} fact5: ({AA}{b} & ¬{AB}{b}) -> {B}{b} fact6: {A}{dh} fact7: {HF}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.82ã¯è¡æ£èã; fact2 & assump1 -> int1: ãã®ãŸã¡ã
ãŸãLv.13ã¯å
¥ãæãããã©éããæããšããããšã¯ãªã; int1 & fact5 -> int2: ãã®ãŸã¡ã
ãŸãLv.13ã¯ä¿¡ãé£ã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: ({AA}{b} & ¬{AB}{b}); int1 & fact5 -> int2: {B}{b}; [assump1] & int2 -> hypothesis;"
] | ãã®ãŽã«ããŽãLv.1ã¯å
¥ãæã | {AA}{gj} | [] | 5 | 4 | 3 | 4 | 3 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãŽã«ããŽãLv.1ãæ²ãããªããšãããšãã®ãŽã«ããŽãLv.1ã¯ä¿¡ãé£ããªã fact2: ãã®ã·ãã·ãLv.82ãè¡æ£èããªããã®ãŸã¡ã
ãŸãLv.13ã¯å
¥ãæãããã©éããæããšããããšã¯ãªã fact3: ãã®ãŸã¡ã
ãŸãLv.13ã¯éããæããªã fact4: ããããã®ãŸã¡ã
ãŸãLv.13ãå
¥ãæããéããæããšããã°ãã®ãŸã¡ã
ãŸãLv.13ã¯ä¿¡ãé£ã fact5: ãã®ãŸã¡ã
ãŸãLv.13ã¯å
¥ãæããéããæããšããããšã¯ãªããšãããšä¿¡ãé£ã fact6: ãã®ãœãªãœã«ãLv.90ã¯è¡æ£èã fact7: ãã®ã·ãã·ãLv.82ã¯æ··åãæã ; $hypothesis$ = ããããã®ã·ãã·ãLv.82ãè¡æ£èããªãã°ãã®ãŸã¡ã
ãŸãLv.13ã¯ä¿¡ãé£ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.82ã¯è¡æ£èã; fact2 & assump1 -> int1: ãã®ãŸã¡ã
ãŸãLv.13ã¯å
¥ãæãããã©éããæããšããããšã¯ãªã; int1 & fact5 -> int2: ãã®ãŸã¡ã
ãŸãLv.13ã¯ä¿¡ãé£ã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{C}{gj} -> ¬{B}{gj} fact2: {A}{a} -> ({AA}{b} & ¬{AB}{b}) fact3: ¬{AB}{b} fact4: ({AA}{b} & {AB}{b}) -> {B}{b} fact5: ({AA}{b} & ¬{AB}{b}) -> {B}{b} fact6: {A}{dh} fact7: {HF}{a} ; $hypothesis$ = {A}{a} -> {B}{b} ; $proof$ = | void -> assump1: {A}{a}; fact2 & assump1 -> int1: ({AA}{b} & ¬{AB}{b}); int1 & fact5 -> int2: {B}{b}; [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | é£ãªãããšãèµ·ããªããŠãŸããœã«ããœãLv.69äºä»¶ã¯èµ·ãããªã | (¬{F} & ¬{G}) | fact1: ä»ãããããšããã³ãŸããŸã¡ãLv.9äºä»¶äž¡æ¹ãèµ·ãã fact2: ã滲ã¿åºãããšã¯çããªãããšããããšã¯æãç«ã€ fact3: ããããã«ã
Lv.8äºä»¶ã¯èµ·ããªããŠããŸãã«é æ¯ç¡ããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact4: ä»®ã«ãŸããŸã¡ãLv.9äºä»¶ã¯èµ·ããªããšããã°ä»ãããããšããã³äžèŠããããšäž¡æ¹ãçãã fact5: ä»®ã«éãæããšããããšãšæ¬²ãããšããããšã©ã¡ãããçºçãããšãããšãœããœã«ãLv.74äºä»¶ã¯çããªã fact6: ã欲ãããšããããšãèµ·ããããšããããšã¯äºå®ã fact7: ããä»®ã«ãŸããŸã¡ãLv.9äºä»¶ãèµ·ããªããªãã°ä»ãããããšã¯çºçããããã©é£ãªãããšã¯èµ·ãããªã fact8: ããããœããœã«ãLv.74äºä»¶ã¯èµ·ãããªããšããããé£ãªãããšãçããªããŠãã®äžãœã«ããœãLv.69äºä»¶ã¯çºçããªãããšããããšã¯èª€ã£ãŠãã fact9: ãçç¡ããšããããšã¯çºçããªããŠãã®äžãããã¡ãLv.45äºä»¶ã¯çããªãããšããããšã¯èª€ã£ãŠãã | fact1: ({A} & {B}) fact2: ¬{HG} fact3: ¬(¬{EM} & ¬{IH}) fact4: ¬{B} -> ({A} & {CU}) fact5: ({C} & {D}) -> ¬{E} fact6: {D} fact7: ¬{B} -> ({A} & ¬{F}) fact8: ¬{E} -> ¬(¬{F} & ¬{G}) fact9: ¬(¬{GR} & ¬{BB}) | [
"fact1 -> int1: ãŸããŸã¡ãLv.9äºä»¶ãèµ·ãã;"
] | [
"fact1 -> int1: {B};"
] | äžèŠããããšãçãã | {CU} | [] | 6 | 5 | 5 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»ãããããšããã³ãŸããŸã¡ãLv.9äºä»¶äž¡æ¹ãèµ·ãã fact2: ã滲ã¿åºãããšã¯çããªãããšããããšã¯æãç«ã€ fact3: ããããã«ã
Lv.8äºä»¶ã¯èµ·ããªããŠããŸãã«é æ¯ç¡ããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact4: ä»®ã«ãŸããŸã¡ãLv.9äºä»¶ã¯èµ·ããªããšããã°ä»ãããããšããã³äžèŠããããšäž¡æ¹ãçãã fact5: ä»®ã«éãæããšããããšãšæ¬²ãããšããããšã©ã¡ãããçºçãããšãããšãœããœã«ãLv.74äºä»¶ã¯çããªã fact6: ã欲ãããšããããšãèµ·ããããšããããšã¯äºå®ã fact7: ããä»®ã«ãŸããŸã¡ãLv.9äºä»¶ãèµ·ããªããªãã°ä»ãããããšã¯çºçããããã©é£ãªãããšã¯èµ·ãããªã fact8: ããããœããœã«ãLv.74äºä»¶ã¯èµ·ãããªããšããããé£ãªãããšãçããªããŠãã®äžãœã«ããœãLv.69äºä»¶ã¯çºçããªãããšããããšã¯èª€ã£ãŠãã fact9: ãçç¡ããšããããšã¯çºçããªããŠãã®äžãããã¡ãLv.45äºä»¶ã¯çããªãããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = é£ãªãããšãèµ·ããªããŠãŸããœã«ããœãLv.69äºä»¶ã¯èµ·ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) fact2: ¬{HG} fact3: ¬(¬{EM} & ¬{IH}) fact4: ¬{B} -> ({A} & {CU}) fact5: ({C} & {D}) -> ¬{E} fact6: {D} fact7: ¬{B} -> ({A} & ¬{F}) fact8: ¬{E} -> ¬(¬{F} & ¬{G}) fact9: ¬(¬{GR} & ¬{BB}) ; $hypothesis$ = (¬{F} & ¬{G}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœããœã«ã
Lv.78ã¯èšãããªã | ¬{C}{a} | fact1: ãã®ãœããœã«ã
Lv.78ã¯åŸ¡æ¿ã fact2: ããããããã®ãœããœã«ã
Lv.78ã¯å€ãæããããã埡æ¿ããªãããšããããšã¯èª€ãã§ãããšããããã®ãœããœã«ã
Lv.78ã¯èšãããªãããšããããšã¯çå®ã | fact1: {B}{a} fact2: ¬({A}{a} & ¬{B}{a}) -> ¬{C}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœã«ã
Lv.78ã¯å€ãæãäžæ¹ã§ããã¯åŸ¡æ¿ããªã; assump1 -> int1: ãã®ãœããœã«ã
Lv.78ã¯åŸ¡æ¿ããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ãœããœã«ã
Lv.78ã¯å€ãæãããããããã¯åŸ¡æ¿ããªãããšããããšã¯æãç«ããªã; int3 & fact2 -> hypothesis;"
] | [
"void -> assump1: ({A}{a} & ¬{B}{a}); assump1 -> int1: ¬{B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬({A}{a} & ¬{B}{a}); int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãœããœã«ã
Lv.78ã¯åŸ¡æ¿ã fact2: ããããããã®ãœããœã«ã
Lv.78ã¯å€ãæããããã埡æ¿ããªãããšããããšã¯èª€ãã§ãããšããããã®ãœããœã«ã
Lv.78ã¯èšãããªãããšããããšã¯çå®ã ; $hypothesis$ = ãã®ãœããœã«ã
Lv.78ã¯èšãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœã«ã
Lv.78ã¯å€ãæãäžæ¹ã§ããã¯åŸ¡æ¿ããªã; assump1 -> int1: ãã®ãœããœã«ã
Lv.78ã¯åŸ¡æ¿ããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ãœããœã«ã
Lv.78ã¯å€ãæãããããããã¯åŸ¡æ¿ããªãããšããããšã¯æãç«ããªã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} fact2: ¬({A}{a} & ¬{B}{a}) -> ¬{C}{a} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | void -> assump1: ({A}{a} & ¬{B}{a}); assump1 -> int1: ¬{B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬({A}{a} & ¬{B}{a}); int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | çžé ããšããããšãèµ·ãããè²·ãæããšããããšãèµ·ãã | ({D} v {C}) | fact1: ãããéŒå¡ããããšãèµ·ãããšããããããã¡ãLv.9äºä»¶ãèµ·ãã fact2: 銬鹿ã§ãããšããããšãèµ·ãã fact3: ãã¿ãã¿ãLv.36äºä»¶ãèµ·ããããããç©ããããšããããšã¯çºçããªãããšããããšã¯ã銬鹿ã§ãããšããããšã¯èµ·ããªãããšããããšãåå ã§ãã fact4: ã¿ãã¿ãLv.36äºä»¶ã¯çããªããšããããšã¯ãç©ããããšããããšãçããããšããããšã«é»ãŸãã fact5: ä»®ã«ç©ããããšããããšã¯èµ·ããªããªãã°ããçžé ããšããããšãè²·ãæããšããããšãçºçããããšããããšã¯åã§ããããšããããšã¯æãç«ã€ fact6: ç©ããããšããããšããã³éŠ¬é¹¿ã§ãããšããããšäž¡æ¹ãèµ·ãã fact7: ãè²·ãæããšããããšã¯èµ·ããªãããšããããšã¯ã¿ãã¿ãLv.36äºä»¶ã«é»ãŸãã | fact1: {JA} -> {FE} fact2: {E} fact3: ¬{E} -> ({B} & ¬{A}) fact4: {A} -> {B} fact5: ¬{A} -> ¬({D} v {C}) fact6: ({A} & {E}) fact7: {B} -> {C} | [
"fact6 -> int1: ç©ããããšããããšãèµ·ãã; fact4 & int1 -> int2: ã¿ãã¿ãLv.36äºä»¶ãçºçãã; int2 & fact7 -> int3: è²·ãæããšããããšãèµ·ãã; int3 -> hypothesis;"
] | [
"fact6 -> int1: {A}; fact4 & int1 -> int2: {B}; int2 & fact7 -> int3: {C}; int3 -> hypothesis;"
] | ããçžé ããšããããšãèµ·ããããããã¯è²·ãæããšããããšãèµ·ããããšããããšã¯åã ããšããããšã¯äºå®ã | ¬({D} v {C}) | [] | 7 | 4 | 4 | 4 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããéŒå¡ããããšãèµ·ãããšããããããã¡ãLv.9äºä»¶ãèµ·ãã fact2: 銬鹿ã§ãããšããããšãèµ·ãã fact3: ãã¿ãã¿ãLv.36äºä»¶ãèµ·ããããããç©ããããšããããšã¯çºçããªãããšããããšã¯ã銬鹿ã§ãããšããããšã¯èµ·ããªãããšããããšãåå ã§ãã fact4: ã¿ãã¿ãLv.36äºä»¶ã¯çããªããšããããšã¯ãç©ããããšããããšãçããããšããããšã«é»ãŸãã fact5: ä»®ã«ç©ããããšããããšã¯èµ·ããªããªãã°ããçžé ããšããããšãè²·ãæããšããããšãçºçããããšããããšã¯åã§ããããšããããšã¯æãç«ã€ fact6: ç©ããããšããããšããã³éŠ¬é¹¿ã§ãããšããããšäž¡æ¹ãèµ·ãã fact7: ãè²·ãæããšããããšã¯èµ·ããªãããšããããšã¯ã¿ãã¿ãLv.36äºä»¶ã«é»ãŸãã ; $hypothesis$ = çžé ããšããããšãèµ·ãããè²·ãæããšããããšãèµ·ãã ; $proof$ = | fact6 -> int1: ç©ããããšããããšãèµ·ãã; fact4 & int1 -> int2: ã¿ãã¿ãLv.36äºä»¶ãçºçãã; int2 & fact7 -> int3: è²·ãæããšããããšãèµ·ãã; int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {JA} -> {FE} fact2: {E} fact3: ¬{E} -> ({B} & ¬{A}) fact4: {A} -> {B} fact5: ¬{A} -> ¬({D} v {C}) fact6: ({A} & {E}) fact7: {B} -> {C} ; $hypothesis$ = ({D} v {C}) ; $proof$ = | fact6 -> int1: {A}; fact4 & int1 -> int2: {B}; int2 & fact7 -> int3: {C}; int3 -> hypothesis; __PROVED__ |
0.3 | ããœããœã«Lv.70äºä»¶ãšãœããœãLv.1äºä»¶äž¡æ¹ãçããããšããããšã¯äºå®ãšç°ãªã | ¬({E} & {F}) | fact1: ããœããœãLv.1äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã§ãã fact2: ã·ãã·ãLv.30äºä»¶ãšãŽã«ããŽã«Lv.20äºä»¶ãçãã fact3: ãåãåºãŸãããšãèµ·ããããã©ãŽãªãŽãªLv.27äºä»¶ã¯çããªãããšããããšã¯ãå¿ç¡ããšããããšã¯èµ·ããªãããšããããšã«èªçºããã fact4: ç»å±±å®¶ããããšããããšã¯çããªããšããããšã¯ãåãåºãŸãããšãèµ·ããããã©ãŽãªãŽãªLv.27äºä»¶ã¯èµ·ããªãããšããããšã«é»æ¢ããã fact5: ãŽãªãŽãªLv.27äºä»¶ã¯èµ·ããªããšããããšã¯éŠãããšããããšããã³åãåºãŸãããšãçããã«åž°çµãã fact6: ãã·ãã·ãLv.30äºä»¶ããã³ãŽã«ããŽã«Lv.20äºä»¶äž¡æ¹ãçºçããããšããããšã¯ãå¿ç¡ããšããããšã¯çºçããªãããšããããšãçºçããã fact7: ãœããœã«Lv.70äºä»¶ãç»å±±å®¶ããããšããããšã¯ãã£ããã fact8: ä»®ã«ããããLv.62äºä»¶ãçºçãããããã«ç€ºãåŸãããšãçºçãããšãããšãã¡ã
ããLv.33äºä»¶ã¯èµ·ããªã | fact1: {F} fact2: ({AA} & {AB}) fact3: ¬{B} -> ({A} & ¬{C}) fact4: ({A} & ¬{C}) -> {D} fact5: ¬{C} -> ({FD} & {A}) fact6: ({AA} & {AB}) -> ¬{B} fact7: {D} -> {E} fact8: ({HK} & {GC}) -> ¬{GL} | [
"fact6 & fact2 -> int1: å¿ç¡ããšããããšã¯çºçããªã; int1 & fact3 -> int2: ãåãåºãŸãããšãçããããã©ãŽãªãŽãªLv.27äºä»¶ã¯çºçããªãããšããããšã¯æãç«ã€; int2 & fact4 -> int3: ç»å±±å®¶ããããšããããšãèµ·ãã; int3 & fact7 -> int4: ãœããœã«Lv.70äºä»¶ãèµ·ãã; int4 & fact1 -> hypothesis;"
] | [
"fact6 & fact2 -> int1: ¬{B}; int1 & fact3 -> int2: ({A} & ¬{C}); int2 & fact4 -> int3: {D}; int3 & fact7 -> int4: {E}; int4 & fact1 -> hypothesis;"
] | éŠãããšããããšãçãããå ããŠãŽã¡ããŽãLv.4äºä»¶ãçºçãã | ({FD} & {AU}) | [] | 4 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããœããœãLv.1äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã§ãã fact2: ã·ãã·ãLv.30äºä»¶ãšãŽã«ããŽã«Lv.20äºä»¶ãçãã fact3: ãåãåºãŸãããšãèµ·ããããã©ãŽãªãŽãªLv.27äºä»¶ã¯çããªãããšããããšã¯ãå¿ç¡ããšããããšã¯èµ·ããªãããšããããšã«èªçºããã fact4: ç»å±±å®¶ããããšããããšã¯çããªããšããããšã¯ãåãåºãŸãããšãèµ·ããããã©ãŽãªãŽãªLv.27äºä»¶ã¯èµ·ããªãããšããããšã«é»æ¢ããã fact5: ãŽãªãŽãªLv.27äºä»¶ã¯èµ·ããªããšããããšã¯éŠãããšããããšããã³åãåºãŸãããšãçããã«åž°çµãã fact6: ãã·ãã·ãLv.30äºä»¶ããã³ãŽã«ããŽã«Lv.20äºä»¶äž¡æ¹ãçºçããããšããããšã¯ãå¿ç¡ããšããããšã¯çºçããªãããšããããšãçºçããã fact7: ãœããœã«Lv.70äºä»¶ãç»å±±å®¶ããããšããããšã¯ãã£ããã fact8: ä»®ã«ããããLv.62äºä»¶ãçºçãããããã«ç€ºãåŸãããšãçºçãããšãããšãã¡ã
ããLv.33äºä»¶ã¯èµ·ããªã ; $hypothesis$ = ããœããœã«Lv.70äºä»¶ãšãœããœãLv.1äºä»¶äž¡æ¹ãçããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact6 & fact2 -> int1: å¿ç¡ããšããããšã¯çºçããªã; int1 & fact3 -> int2: ãåãåºãŸãããšãçããããã©ãŽãªãŽãªLv.27äºä»¶ã¯çºçããªãããšããããšã¯æãç«ã€; int2 & fact4 -> int3: ç»å±±å®¶ããããšããããšãèµ·ãã; int3 & fact7 -> int4: ãœããœã«Lv.70äºä»¶ãèµ·ãã; int4 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {F} fact2: ({AA} & {AB}) fact3: ¬{B} -> ({A} & ¬{C}) fact4: ({A} & ¬{C}) -> {D} fact5: ¬{C} -> ({FD} & {A}) fact6: ({AA} & {AB}) -> ¬{B} fact7: {D} -> {E} fact8: ({HK} & {GC}) -> ¬{GL} ; $hypothesis$ = ¬({E} & {F}) ; $proof$ = | fact6 & fact2 -> int1: ¬{B}; int1 & fact3 -> int2: ({A} & ¬{C}); int2 & fact4 -> int3: {D}; int3 & fact7 -> int4: {E}; int4 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããé¿é£ããããšãçºçãã | {A} | fact1: ãé€é¬Œã£ãœããšããããšã¯èµ·ããªããæãé£ããšããããšãçºçããããšããããšã¯èª€ãã ãšããããœã«ãœãLv.81äºä»¶ãçãã fact2: ãœã«ãœãLv.81äºä»¶ã¯èµ·ãããªã fact3: ããããé¿é£ããããšãçºçããã°ãé€é¬Œã£ãœããšããããšã§ã¯ãªãæãé£ããšããããšãçºçããããšããããšã¯ééã£ãŠããããšããããšã¯æ£ãã | fact1: ¬(¬{AA} & {AB}) -> {B} fact2: ¬{B} fact3: {A} -> ¬(¬{AA} & {AB}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããé¿é£ããããšãçºçãã; fact3 & assump1 -> int1: ãé€é¬Œã£ãœããšããããšã§ã¯ãªããŠæãé£ããšããããšãèµ·ããããšããããšã¯èª€ãã ; int1 & fact1 -> int2: ãœã«ãœãLv.81äºä»¶ãçºçãã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; fact3 & assump1 -> int1: ¬(¬{AA} & {AB}); int1 & fact1 -> int2: {B}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãé€é¬Œã£ãœããšããããšã¯èµ·ããªããæãé£ããšããããšãçºçããããšããããšã¯èª€ãã ãšããããœã«ãœãLv.81äºä»¶ãçãã fact2: ãœã«ãœãLv.81äºä»¶ã¯èµ·ãããªã fact3: ããããé¿é£ããããšãçºçããã°ãé€é¬Œã£ãœããšããããšã§ã¯ãªãæãé£ããšããããšãçºçããããšããããšã¯ééã£ãŠããããšããããšã¯æ£ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããé¿é£ããããšãçºçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããé¿é£ããããšãçºçãã; fact3 & assump1 -> int1: ãé€é¬Œã£ãœããšããããšã§ã¯ãªããŠæãé£ããšããããšãèµ·ããããšããããšã¯èª€ãã ; int1 & fact1 -> int2: ãœã«ãœãLv.81äºä»¶ãçºçãã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA} & {AB}) -> {B} fact2: ¬{B} fact3: {A} -> ¬(¬{AA} & {AB}) ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: {A}; fact3 & assump1 -> int1: ¬(¬{AA} & {AB}); int1 & fact1 -> int2: {B}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã¡ããœã«ã
Lv.99ã¯çãŒã | {A}{a} | fact1: ãã®ãœã¡ããœã«ã
Lv.99ã¯åœããå§ããªãããããæ ã | fact1: (¬{AA}{a} & {AB}{a}) | [] | [] | null | null | [] | null | 4 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãœã¡ããœã«ã
Lv.99ã¯åœããå§ããªãããããæ ã ; $hypothesis$ = ãã®ãœã¡ããœã«ã
Lv.99ã¯çãŒã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{a} & {AB}{a}) ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽãªãŽãLv.17ã¯çžé ã | {F}{c} | fact1: ãã®ã¿ãã¿ã«ãLv.84ã¯è¶ã£ãœã fact2: ãããã®ã¿ãã¿ã«ãLv.84ãé£ã³ç«ããããããã¯ããã¯è¶ã£ãœããšããã°ãããã¯é€ä»ãããªãããšããããšã¯æãç«ã€ fact3: ããããé€ä»ãããªããã¢ã³ã¹ã¿ãŒããããªããã®ãŸããŸã¡ã
Lv.62ã¯ããè¥ãããã©ããã¯çãæããªã fact4: ããããã®ãŸããŸã¡ã
Lv.62ãããè¥ãããããçãæããªããšãããšãã®ãŽãªãŽãLv.17ã¯çžé ããšããããšã¯ãªã | fact1: {B}{a} fact2: ({A}{a} v {B}{a}) -> ¬{C}{a} fact3: (x): ¬{C}x -> ({E}{b} & ¬{D}{b}) fact4: ({E}{b} & ¬{D}{b}) -> ¬{F}{c} | [
"fact1 -> int1: ãã®ã¿ãã¿ã«ãLv.84ã¯é£ã³ç«ããããããã¯è¶ã£ãœãããããã¯äž¡æ¹ã ; int1 & fact2 -> int2: ãã®ã¿ãã¿ã«ãLv.84ã¯é€ä»ãããªã; int2 -> int3: ãé€ä»ãããªããã¢ã³ã¹ã¿ãŒã¯ãã; int3 & fact3 -> int4: ãã®ãŸããŸã¡ã
Lv.62ã¯ããè¥ãããããçãæããªã; int4 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: ({A}{a} v {B}{a}); int1 & fact2 -> int2: ¬{C}{a}; int2 -> int3: (Ex): ¬{C}x; int3 & fact3 -> int4: ({E}{b} & ¬{D}{b}); int4 & fact4 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ã¿ãã¿ã«ãLv.84ã¯è¶ã£ãœã fact2: ãããã®ã¿ãã¿ã«ãLv.84ãé£ã³ç«ããããããã¯ããã¯è¶ã£ãœããšããã°ãããã¯é€ä»ãããªãããšããããšã¯æãç«ã€ fact3: ããããé€ä»ãããªããã¢ã³ã¹ã¿ãŒããããªããã®ãŸããŸã¡ã
Lv.62ã¯ããè¥ãããã©ããã¯çãæããªã fact4: ããããã®ãŸããŸã¡ã
Lv.62ãããè¥ãããããçãæããªããšãããšãã®ãŽãªãŽãLv.17ã¯çžé ããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŽãªãŽãLv.17ã¯çžé ã ; $proof$ = | fact1 -> int1: ãã®ã¿ãã¿ã«ãLv.84ã¯é£ã³ç«ããããããã¯è¶ã£ãœãããããã¯äž¡æ¹ã ; int1 & fact2 -> int2: ãã®ã¿ãã¿ã«ãLv.84ã¯é€ä»ãããªã; int2 -> int3: ãé€ä»ãããªããã¢ã³ã¹ã¿ãŒã¯ãã; int3 & fact3 -> int4: ãã®ãŸããŸã¡ã
Lv.62ã¯ããè¥ãããããçãæããªã; int4 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: ({A}{a} v {B}{a}) -> ¬{C}{a} fact3: (x): ¬{C}x -> ({E}{b} & ¬{D}{b}) fact4: ({E}{b} & ¬{D}{b}) -> ¬{F}{c} ; $hypothesis$ = {F}{c} ; $proof$ = | fact1 -> int1: ({A}{a} v {B}{a}); int1 & fact2 -> int2: ¬{C}{a}; int2 -> int3: (Ex): ¬{C}x; int3 & fact3 -> int4: ({E}{b} & ¬{D}{b}); int4 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | æµãæããšããããšã¯çããªã | ¬{A} | fact1: ãæµãæããšããããšãèµ·ããããšããããšã¯ãŽã¡ããŽãLv.0äºä»¶ã«èµ·å ãã fact2: ããããã¡ããã¡ãLv.86äºä»¶ãçããããœããœã«ã
Lv.18äºä»¶ãèµ·ããããããã¯ã©ã¡ããã§ãããšãããšãŸã«ãŸãLv.96äºä»¶ã¯çºçããªã fact3: ãœããœã¡ãLv.81äºä»¶ãèµ·ãã fact4: ãœããœã¡ãLv.81äºä»¶ãšãŽã¡ããŽãLv.0äºä»¶ãèµ·ããã¯åœ¢æããæããšããããšã¯èµ·ãããªããšããããšã«ããçãã | fact1: {B} -> {A} fact2: ({JA} v {IA}) -> ¬{HJ} fact3: {C} fact4: ¬{D} -> ({C} & {B}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæµãæããšããããšãçºçãã; assump1 -> int1: æµãæããšããããšããããã¯ãŽã¡ããŽãLv.0äºä»¶ãã©ã¡ãããçºçãã;"
] | [
"void -> assump1: {A}; assump1 -> int1: ({A} v {B});"
] | 以äžã®ããã«ä»®å®ãããæµãæããšããããšãçºçãã | {A} | [] | 7 | 5 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãæµãæããšããããšãèµ·ããããšããããšã¯ãŽã¡ããŽãLv.0äºä»¶ã«èµ·å ãã fact2: ããããã¡ããã¡ãLv.86äºä»¶ãçããããœããœã«ã
Lv.18äºä»¶ãèµ·ããããããã¯ã©ã¡ããã§ãããšãããšãŸã«ãŸãLv.96äºä»¶ã¯çºçããªã fact3: ãœããœã¡ãLv.81äºä»¶ãèµ·ãã fact4: ãœããœã¡ãLv.81äºä»¶ãšãŽã¡ããŽãLv.0äºä»¶ãèµ·ããã¯åœ¢æããæããšããããšã¯èµ·ãããªããšããããšã«ããçãã ; $hypothesis$ = æµãæããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} -> {A} fact2: ({JA} v {IA}) -> ¬{HJ} fact3: {C} fact4: ¬{D} -> ({C} & {B}) ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããããŸã¡ããŸã«ã
Lv.43äºä»¶ã¯èµ·ãããªãããšããããšã¯æ¬åœã | ¬{A} | fact1: åçŽåºæ¥ãããšã¯ãã·ã¡ãã·ã¡ãLv.83äºä»¶ãèµ·ãããããããŸã¡ããŸã«ã
Lv.43äºä»¶ã¯çããªãããšããããšãèªçºãã fact2: ãæºéç¡ããšããããšã¯çºçããªãããšããããšã¯åçŽåºæ¥ãããšãšã¿ãã¿ãLv.51äºä»¶ãçãããçºçããã fact3: ãããŸã¡ããŸã«ã
Lv.43äºä»¶ãçºçããªããšãããäžå³ããšããããšã¯èµ·ããªããŠãœã«ãœã«Lv.65äºä»¶ã¯èµ·ãããªã fact4: ã·ã¡ãã·ã¡ãLv.83äºä»¶ãçºçãã fact5: ãããŽã¡ããŽã«ãLv.96äºä»¶ãèµ·ããäžæ¹ã§å°åºãããšã¯çºçããªãããšããããšã¯ééãã ãšãããæºéç¡ããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ | fact1: {C} -> ({B} & ¬{A}) fact2: ¬{E} -> ({C} & {D}) fact3: ¬{A} -> (¬{AA} & ¬{AB}) fact4: {B} fact5: ¬({G} & ¬{F}) -> ¬{E} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããŸã¡ããŸã«ã
Lv.43äºä»¶ã¯èµ·ãããªãããšããããšã¯æ¬åœã ; fact3 & assump1 -> int1: äžå³ããšããããšã¯çããªããŠãœã«ãœã«Lv.65äºä»¶ã¯çããªã;"
] | [
"void -> assump1: ¬{A}; fact3 & assump1 -> int1: (¬{AA} & ¬{AB});"
] | 以äžã®ããã«ä»®å®ãããããŸã¡ããŸã«ã
Lv.43äºä»¶ã¯èµ·ãããªãããšããããšã¯æ¬åœã | ¬{A} | [] | 8 | 5 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: åçŽåºæ¥ãããšã¯ãã·ã¡ãã·ã¡ãLv.83äºä»¶ãèµ·ãããããããŸã¡ããŸã«ã
Lv.43äºä»¶ã¯çããªãããšããããšãèªçºãã fact2: ãæºéç¡ããšããããšã¯çºçããªãããšããããšã¯åçŽåºæ¥ãããšãšã¿ãã¿ãLv.51äºä»¶ãçãããçºçããã fact3: ãããŸã¡ããŸã«ã
Lv.43äºä»¶ãçºçããªããšãããäžå³ããšããããšã¯èµ·ããªããŠãœã«ãœã«Lv.65äºä»¶ã¯èµ·ãããªã fact4: ã·ã¡ãã·ã¡ãLv.83äºä»¶ãçºçãã fact5: ãããŽã¡ããŽã«ãLv.96äºä»¶ãèµ·ããäžæ¹ã§å°åºãããšã¯çºçããªãããšããããšã¯ééãã ãšãããæºéç¡ããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããããŸã¡ããŸã«ã
Lv.43äºä»¶ã¯èµ·ãããªãããšããããšã¯æ¬åœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C} -> ({B} & ¬{A}) fact2: ¬{E} -> ({C} & {D}) fact3: ¬{A} -> (¬{AA} & ¬{AB}) fact4: {B} fact5: ¬({G} & ¬{F}) -> ¬{E} ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãœããœãLv.23äºä»¶ãèµ·ãããªãããŸãã¯ãã¡ã
ããLv.24äºä»¶ã¯çºçãã | (¬{A} v {C}) | fact1: ããœããœãLv.23äºä»¶ãèµ·ããããŽã«ãŽãLv.25äºä»¶ã¯èµ·ããªãããšããããšã¯æ¬åœã§ãªã fact2: ãœããœãLv.23äºä»¶ããã¡ã
ããLv.24äºä»¶ããŸãã¯äž¡æ¹ãèµ·ãã fact3: ããä»®ã«ã湿ã£ãœããšããããšã§ã¯ãªãå·»ãäžããããšãèµ·ããããšããããšã¯æãç«ããªããšããã°å·»ãäžããããšã¯çºçããªã fact4: ãŽã«ãŽãLv.25äºä»¶ã¯èµ·ãããªã fact5: ãå¿èš±ãªããšããããšãèµ·ããããã©ãããã¡ã
Lv.59äºä»¶ã¯èµ·ããªãããšããããšã¯ééãã fact6: ã奥åºãããšããããšãçããããããã¿ã¡ã
ã¿ãLv.29äºä»¶ã¯çºçããªãããšããããšã¯èª€ãã§ãã fact7: å·»ãäžããããšã¯èµ·ããªããšããã°ãã¡ã
ããLv.24äºä»¶ããã³ãŽã«ãŽãLv.25äºä»¶äž¡æ¹ãšããçãã | fact1: ¬({A} & ¬{B}) fact2: ({A} v {C}) fact3: ¬(¬{E} & {D}) -> ¬{D} fact4: ¬{B} fact5: ¬({EU} & ¬{BA}) fact6: ¬({AM} & ¬{DD}) fact7: ¬{D} -> ({C} & {B}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããœããœãLv.23äºä»¶ãèµ·ãã; assump1 & fact4 -> int1: ãœããœãLv.23äºä»¶ãèµ·ããäžæ¹ã§ãŽã«ãŽãLv.25äºä»¶ã¯èµ·ãããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãœããœãLv.23äºä»¶ã¯èµ·ããªã; int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact4 -> int1: ({A} & ¬{B}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 -> hypothesis;"
] | ãã«ããã«Lv.46äºä»¶ã¯èµ·ããªã | ¬{FK} | [] | 7 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããœããœãLv.23äºä»¶ãèµ·ããããŽã«ãŽãLv.25äºä»¶ã¯èµ·ããªãããšããããšã¯æ¬åœã§ãªã fact2: ãœããœãLv.23äºä»¶ããã¡ã
ããLv.24äºä»¶ããŸãã¯äž¡æ¹ãèµ·ãã fact3: ããä»®ã«ã湿ã£ãœããšããããšã§ã¯ãªãå·»ãäžããããšãèµ·ããããšããããšã¯æãç«ããªããšããã°å·»ãäžããããšã¯çºçããªã fact4: ãŽã«ãŽãLv.25äºä»¶ã¯èµ·ãããªã fact5: ãå¿èš±ãªããšããããšãèµ·ããããã©ãããã¡ã
Lv.59äºä»¶ã¯èµ·ããªãããšããããšã¯ééãã fact6: ã奥åºãããšããããšãçããããããã¿ã¡ã
ã¿ãLv.29äºä»¶ã¯çºçããªãããšããããšã¯èª€ãã§ãã fact7: å·»ãäžããããšã¯èµ·ããªããšããã°ãã¡ã
ããLv.24äºä»¶ããã³ãŽã«ãŽãLv.25äºä»¶äž¡æ¹ãšããçãã ; $hypothesis$ = ãœããœãLv.23äºä»¶ãèµ·ãããªãããŸãã¯ãã¡ã
ããLv.24äºä»¶ã¯çºçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããœããœãLv.23äºä»¶ãèµ·ãã; assump1 & fact4 -> int1: ãœããœãLv.23äºä»¶ãèµ·ããäžæ¹ã§ãŽã«ãŽãLv.25äºä»¶ã¯èµ·ãããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãœããœãLv.23äºä»¶ã¯èµ·ããªã; int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({A} & ¬{B}) fact2: ({A} v {C}) fact3: ¬(¬{E} & {D}) -> ¬{D} fact4: ¬{B} fact5: ¬({EU} & ¬{BA}) fact6: ¬({AM} & ¬{DD}) fact7: ¬{D} -> ({C} & {B}) ; $hypothesis$ = (¬{A} v {C}) ; $proof$ = | void -> assump1: {A}; assump1 & fact4 -> int1: ({A} & ¬{B}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 -> hypothesis; __PROVED__ |
0.3 | ããæ°ãããå ããŠçŸå³ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ç¢ºãã§ãã | (Ex): ({D}x & {E}x) | fact1: ããããã®ãããã¡ã
Lv.64ãåãæããšãããšãã®ãããã¡ã
Lv.64ã¯çãæã fact2: ãã®ã·ãã·ã®Lv.65ã¯èªãã£ãœããçãæã fact3: ããããã®ãããã¡ã
Lv.64ã¯çãæããšãããšããã®ãããã¡ã
Lv.64ã¯æ°ããããšããããšã¯ç¢ºãã fact4: ããä»®ã«ãã®ãŸããŸã«ã
Lv.36ãäœæäœæãããªãã°ãã®ãããã¡ã
Lv.64ã¯åãæã fact5: ãã®ãŸããŸã«ã
Lv.36ã¯äœæäœæãã fact6: ãã®ãããã¡ã
Lv.64ã¯éè³ãæããŠããã¯å®ã fact7: ãã®ãããã¡ã
Lv.64ã¯çŸå³ãã | fact1: {B}{b} -> {C}{b} fact2: ({F}{cd} & {C}{cd}) fact3: {C}{b} -> {D}{b} fact4: {A}{a} -> {B}{b} fact5: {A}{a} fact6: ({BG}{b} & {S}{b}) fact7: {E}{b} | [
"fact4 & fact5 -> int1: ãã®ãããã¡ã
Lv.64ã¯åãæã; int1 & fact1 -> int2: ãã®ãããã¡ã
Lv.64ã¯çãæã; int2 & fact3 -> int3: ãã®ãããã¡ã
Lv.64ã¯æ°ãã; int3 & fact7 -> int4: ãã®ãããã¡ã
Lv.64ã¯æ°ãããããã¯çŸå³ãã; int4 -> hypothesis;"
] | [
"fact4 & fact5 -> int1: {B}{b}; int1 & fact1 -> int2: {C}{b}; int2 & fact3 -> int3: {D}{b}; int3 & fact7 -> int4: ({D}{b} & {E}{b}); int4 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ããããã®ãããã¡ã
Lv.64ãåãæããšãããšãã®ãããã¡ã
Lv.64ã¯çãæã fact2: ãã®ã·ãã·ã®Lv.65ã¯èªãã£ãœããçãæã fact3: ããããã®ãããã¡ã
Lv.64ã¯çãæããšãããšããã®ãããã¡ã
Lv.64ã¯æ°ããããšããããšã¯ç¢ºãã fact4: ããä»®ã«ãã®ãŸããŸã«ã
Lv.36ãäœæäœæãããªãã°ãã®ãããã¡ã
Lv.64ã¯åãæã fact5: ãã®ãŸããŸã«ã
Lv.36ã¯äœæäœæãã fact6: ãã®ãããã¡ã
Lv.64ã¯éè³ãæããŠããã¯å®ã fact7: ãã®ãããã¡ã
Lv.64ã¯çŸå³ãã ; $hypothesis$ = ããæ°ãããå ããŠçŸå³ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ç¢ºãã§ãã ; $proof$ = | fact4 & fact5 -> int1: ãã®ãããã¡ã
Lv.64ã¯åãæã; int1 & fact1 -> int2: ãã®ãããã¡ã
Lv.64ã¯çãæã; int2 & fact3 -> int3: ãã®ãããã¡ã
Lv.64ã¯æ°ãã; int3 & fact7 -> int4: ãã®ãããã¡ã
Lv.64ã¯æ°ãããããã¯çŸå³ãã; int4 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{b} -> {C}{b} fact2: ({F}{cd} & {C}{cd}) fact3: {C}{b} -> {D}{b} fact4: {A}{a} -> {B}{b} fact5: {A}{a} fact6: ({BG}{b} & {S}{b}) fact7: {E}{b} ; $hypothesis$ = (Ex): ({D}x & {E}x) ; $proof$ = | fact4 & fact5 -> int1: {B}{b}; int1 & fact1 -> int2: {C}{b}; int2 & fact3 -> int3: {D}{b}; int3 & fact7 -> int4: ({D}{b} & {E}{b}); int4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.16ã¯éºã | {D}{b} | fact1: ããä»®ã«ãã®ãŽããŽãLv.16ãã¡ã£ãããªãã°éºã fact2: ãã®ãŽããŽãLv.18ã¯é æ«ããªã fact3: ããããã®ãŽããŽãLv.18ãä¿¡ãæããŠããŸãã«é æ«ãããšããããã®ãœããœãLv.80ã¯é·ã£ãããã fact4: ããã®ãŽããŽãLv.18ã¯éã
ããããšããããšã¯æãç«ã€ãšããã°ããã¯é æ«ããªã fact5: ããããã®ãŽããŽãLv.18ã¯ä¿¡ãæãããããé æ«ããªããšããã°ããã®ãœããœãLv.80ã¯é·ã£ããããããšããããšã¯åœã§ãªã fact6: éã
ããã¢ã³ã¹ã¿ãŒã¯ä¿¡ãæããé æ«ããªã fact7: ããã®ã·ãªã·ãLv.90ãéºãäžæ¹ã§ãããã¡ã£ãããªããšããããã®ãœããœãLv.80ã¯éºããªãããšããããšã¯æ¬åœã fact8: ããã®ãŽããŽãLv.18ã¯éã
ããããšããããšã¯æ¬åœã fact9: ãããã®ãœããœãLv.80ãé·ã£ãããããšããã°ãã®ãŽããŽãLv.16ã¯ã¡ã£ãã fact10: éã
ããã¢ã³ã¹ã¿ãŒã¯é æ«ããªã | fact1: {C}{b} -> {D}{b} fact2: ¬{AB}{aa} fact3: ({AA}{aa} & {AB}{aa}) -> {B}{a} fact4: {A}{aa} -> ¬{AB}{aa} fact5: ({AA}{aa} & ¬{AB}{aa}) -> {B}{a} fact6: (x): {A}x -> ({AA}x & ¬{AB}x) fact7: ({D}{c} & ¬{C}{c}) -> ¬{D}{a} fact8: {A}{aa} fact9: {B}{a} -> {C}{b} fact10: (x): {A}x -> ¬{AB}x | [
"fact6 -> int1: ä»®ã«ããã®ãŽããŽãLv.18ã¯éã
ããããšããããšã¯äºå®ã ãšããããã®ãŽããŽãLv.18ã¯ä¿¡ãæããé æ«ããªã; int1 & fact8 -> int2: ãã®ãŽããŽãLv.18ã¯ä¿¡ãæããã©é æ«ããªã; int2 & fact5 -> int3: ãã®ãœããœãLv.80ã¯é·ã£ãããã; int3 & fact9 -> int4: ãã®ãŽããŽãLv.16ã¯ã¡ã£ãã; int4 & fact1 -> hypothesis;"
] | [
"fact6 -> int1: {A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); int1 & fact8 -> int2: ({AA}{aa} & ¬{AB}{aa}); int2 & fact5 -> int3: {B}{a}; int3 & fact9 -> int4: {C}{b}; int4 & fact1 -> hypothesis;"
] | ããã®ãŽããŽãLv.16ã¯éºããªãããšããããšã¯æãç«ã€ | ¬{D}{b} | [] | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽãLv.16ãã¡ã£ãããªãã°éºã fact2: ãã®ãŽããŽãLv.18ã¯é æ«ããªã fact3: ããããã®ãŽããŽãLv.18ãä¿¡ãæããŠããŸãã«é æ«ãããšããããã®ãœããœãLv.80ã¯é·ã£ãããã fact4: ããã®ãŽããŽãLv.18ã¯éã
ããããšããããšã¯æãç«ã€ãšããã°ããã¯é æ«ããªã fact5: ããããã®ãŽããŽãLv.18ã¯ä¿¡ãæãããããé æ«ããªããšããã°ããã®ãœããœãLv.80ã¯é·ã£ããããããšããããšã¯åœã§ãªã fact6: éã
ããã¢ã³ã¹ã¿ãŒã¯ä¿¡ãæããé æ«ããªã fact7: ããã®ã·ãªã·ãLv.90ãéºãäžæ¹ã§ãããã¡ã£ãããªããšããããã®ãœããœãLv.80ã¯éºããªãããšããããšã¯æ¬åœã fact8: ããã®ãŽããŽãLv.18ã¯éã
ããããšããããšã¯æ¬åœã fact9: ãããã®ãœããœãLv.80ãé·ã£ãããããšããã°ãã®ãŽããŽãLv.16ã¯ã¡ã£ãã fact10: éã
ããã¢ã³ã¹ã¿ãŒã¯é æ«ããªã ; $hypothesis$ = ãã®ãŽããŽãLv.16ã¯éºã ; $proof$ = | fact6 -> int1: ä»®ã«ããã®ãŽããŽãLv.18ã¯éã
ããããšããããšã¯äºå®ã ãšããããã®ãŽããŽãLv.18ã¯ä¿¡ãæããé æ«ããªã; int1 & fact8 -> int2: ãã®ãŽããŽãLv.18ã¯ä¿¡ãæããã©é æ«ããªã; int2 & fact5 -> int3: ãã®ãœããœãLv.80ã¯é·ã£ãããã; int3 & fact9 -> int4: ãã®ãŽããŽãLv.16ã¯ã¡ã£ãã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{b} -> {D}{b} fact2: ¬{AB}{aa} fact3: ({AA}{aa} & {AB}{aa}) -> {B}{a} fact4: {A}{aa} -> ¬{AB}{aa} fact5: ({AA}{aa} & ¬{AB}{aa}) -> {B}{a} fact6: (x): {A}x -> ({AA}x & ¬{AB}x) fact7: ({D}{c} & ¬{C}{c}) -> ¬{D}{a} fact8: {A}{aa} fact9: {B}{a} -> {C}{b} fact10: (x): {A}x -> ¬{AB}x ; $hypothesis$ = {D}{b} ; $proof$ = | fact6 -> int1: {A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); int1 & fact8 -> int2: ({AA}{aa} & ¬{AB}{aa}); int2 & fact5 -> int3: {B}{a}; int3 & fact9 -> int4: {C}{b}; int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãœã«ãœãLv.89ã¯æããæŽã«å·ããããšããããšã¯åœã§ãã | ¬({A}{a} & {B}{a}) | fact1: æã¡äžããæããªãã¢ã³ã¹ã¿ãŒã¯æããå ããŠçµã³ä»ãé£ã fact2: ãã®ã¿ã«ã¿ãLv.34ã¯æãããŸãåãæã fact3: ãã®ãœã«ãœãLv.89ã¯å·ãã fact4: ãã®ãœã«ãœãLv.89ã¯çµã³ä»ãé£ã | fact1: (x): ¬{D}x -> ({A}x & {C}x) fact2: ({A}{gg} & {FH}{gg}) fact3: {B}{a} fact4: {C}{a} | [] | [] | ãã®ãŽã¡ããŽã«ã
Lv.19ã¯å·ãã | {B}{ic} | [
"fact5 -> int1: ä»®ã«ããã®ãœã«ãœãLv.89ã¯æã¡äžããæãããšããããšã¯æãç«ããªããšããã°ãã®ãœã«ãœãLv.89ã¯æããããã«çµã³ä»ãé£ã;"
] | 6 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: æã¡äžããæããªãã¢ã³ã¹ã¿ãŒã¯æããå ããŠçµã³ä»ãé£ã fact2: ãã®ã¿ã«ã¿ãLv.34ã¯æãããŸãåãæã fact3: ãã®ãœã«ãœãLv.89ã¯å·ãã fact4: ãã®ãœã«ãœãLv.89ã¯çµã³ä»ãé£ã ; $hypothesis$ = ããã®ãœã«ãœãLv.89ã¯æããæŽã«å·ããããšããããšã¯åœã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{D}x -> ({A}x & {C}x) fact2: ({A}{gg} & {FH}{gg}) fact3: {B}{a} fact4: {C}{a} ; $hypothesis$ = ¬({A}{a} & {B}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ããããLv.79ã¯ãã£ãããããã¯æ¯ãããªãããšããããšã¯ééãã§ãã | ¬({A}{aa} & ¬{B}{aa}) | fact1: ä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯æé
·ãããã©ããã¯åŒãæ£ãããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããšæé
·ããªã fact2: ãããã£ããã¢ã³ã¹ã¿ãŒã§ãã£ãŠããã«æ¯ãããªãã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãœããœã¡ãLv.17ã¯æé
·ããšããããšã¯ãªã fact3: ãããã£ããã¢ã³ã¹ã¿ãŒãæ¯ããã°ãã®ãœããœã¡ãLv.17ã¯æé
·ããªã fact4: æé
·ããªãã¢ã³ã¹ã¿ãŒã¯ãã£ãããã©æ¯ãããªã fact5: ä»®ã«ãã£ãããªãã¢ã³ã¹ã¿ãŒãæ¯ãããªãããã¯ãããŸãããªã | fact1: (x): ¬({C}x & ¬{D}x) -> ¬{C}x fact2: (x): ({A}x & ¬{B}x) -> ¬{C}{a} fact3: (x): ({A}x & {B}x) -> ¬{C}{a} fact4: (x): ¬{C}x -> ({A}x & ¬{B}x) fact5: (x): (¬{A}x & {B}x) -> ¬{AQ}x | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ããããLv.79ã¯ãã£ããäžæ¹ã§æ¯ãããšããããšã¯ãªã; assump1 -> int1: ãã£ããã¢ã³ã¹ã¿ãŒã§ãã£ãŠããã«æ¯ãããªãã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact2 -> int2: ãã®ãœããœã¡ãLv.17ã¯æé
·ããªã;"
] | [
"void -> assump1: ({A}{aa} & ¬{B}{aa}); assump1 -> int1: (Ex): ({A}x & ¬{B}x); int1 & fact2 -> int2: ¬{C}{a};"
] | 以äžã®ããã«ä»®å®ããããã®ããããLv.79ã¯ãã£ããäžæ¹ã§æ¯ãããšããããšã¯ãªã | ({A}{aa} & ¬{B}{aa}) | [
"fact7 -> int3: ããä»®ã«ãã®ããããLv.79ãæé
·ããªããªããã®ããããLv.79ã¯ãã£ãããããã¯æ¯ãããªã; fact6 -> int4: ããã®ããããLv.79ã¯æé
·ããã©åŒãæ£ãããšããããšã¯ãªãããšããããšã¯ééããªãã°ãã®ããããLv.79ã¯æé
·ããªã;"
] | 4 | 5 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯æé
·ãããã©ããã¯åŒãæ£ãããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããšæé
·ããªã fact2: ãããã£ããã¢ã³ã¹ã¿ãŒã§ãã£ãŠããã«æ¯ãããªãã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãœããœã¡ãLv.17ã¯æé
·ããšããããšã¯ãªã fact3: ãããã£ããã¢ã³ã¹ã¿ãŒãæ¯ããã°ãã®ãœããœã¡ãLv.17ã¯æé
·ããªã fact4: æé
·ããªãã¢ã³ã¹ã¿ãŒã¯ãã£ãããã©æ¯ãããªã fact5: ä»®ã«ãã£ãããªãã¢ã³ã¹ã¿ãŒãæ¯ãããªãããã¯ãããŸãããªã ; $hypothesis$ = ããã®ããããLv.79ã¯ãã£ãããããã¯æ¯ãããªãããšããããšã¯ééãã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬({C}x & ¬{D}x) -> ¬{C}x fact2: (x): ({A}x & ¬{B}x) -> ¬{C}{a} fact3: (x): ({A}x & {B}x) -> ¬{C}{a} fact4: (x): ¬{C}x -> ({A}x & ¬{B}x) fact5: (x): (¬{A}x & {B}x) -> ¬{AQ}x ; $hypothesis$ = ¬({A}{aa} & ¬{B}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãããããã玫å€ç·ç
§å°ããããããã¯å€æãé£ããªãããããã¯ã©ã¡ããã ããšããããšã¯åã ãšããã°é»ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æ¬åœã§ãã | (Ex): ¬({AA}x v ¬{AB}x) -> ¬{B}x | fact1: ããããæ¥è¿ãæãããããã¯çºæ®ãé£ããªãããããã¯äž¡æ¹ã§ãããšãããšç¥ããåããªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãããããã®ãœã¡ããœãªLv.84ã¯çŽ«å€ç·ç
§å°ããããããã¯å€æãé£ããªãããšããããšã¯æ¬åœã§ãªããšãããšããã¯é»ã fact3: ãããããã¢ã³ã¹ã¿ãŒã¯éãããããããã¯çæãããªãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªããªãã°çŽ æŽãããªã fact4: ãã玫å€ç·ç
§å°ããããŸãã¯å€æãé£ããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯ééãã§ãããšãããšé»ããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ããä»®ã«ããã®ãœã¡ããœãªLv.84ã¯çŽ«å€ç·ç
§å°ããããããã¯å€æãé£ãããšããããšã¯äºå®ãšç°ãªããšããã°ãé»ããªãããšããããšã¯æãç«ã€ fact6: ä»®ã«ããã®ãœã¡ããœãªLv.84ã¯çŽ«å€ç·ç
§å°ãããå€æãé£ããªããäž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªããªããã®ãœã¡ããœãªLv.84ã¯é»ããªã | fact1: (Ex): ({BI}x v ¬{EM}x) -> ¬{EI}x fact2: ¬({AA}{aa} v ¬{AB}{aa}) -> {B}{aa} fact3: (x): ¬({JA}x v ¬{HU}x) -> ¬{BD}x fact4: (Ex): ¬({AA}x v ¬{AB}x) -> {B}x fact5: ¬({AA}{aa} v {AB}{aa}) -> ¬{B}{aa} fact6: ¬({AA}{aa} v ¬{AB}{aa}) -> ¬{B}{aa} | [
"fact6 -> hypothesis;"
] | [
"fact6 -> hypothesis;"
] | ããããéãããããŸãã¯çæãããªãããããã¯äž¡æ¹ã ããšããããšã¯åœã ãšããããçŽ æŽãããªãããšããããšã¯äºå®ãªãã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬({JA}x v ¬{HU}x) -> ¬{BD}x | [
"fact7 -> int1: ãããã®ãŽããŽãLv.6ã¯éãããããããã¯çæãããšããããšã¯ãªãããšããããšã¯äºå®ã ããšããããšã¯ééãã§ãããªããã®ãŽããŽãLv.6ã¯çŽ æŽãããªã; int1 -> hypothesis;"
] | 2 | 1 | 1 | 1 | 1 | 5 | 0 | 5 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ããããæ¥è¿ãæãããããã¯çºæ®ãé£ããªãããããã¯äž¡æ¹ã§ãããšãããšç¥ããåããªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãããããã®ãœã¡ããœãªLv.84ã¯çŽ«å€ç·ç
§å°ããããããã¯å€æãé£ããªãããšããããšã¯æ¬åœã§ãªããšãããšããã¯é»ã fact3: ãããããã¢ã³ã¹ã¿ãŒã¯éãããããããã¯çæãããªãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªããªãã°çŽ æŽãããªã fact4: ãã玫å€ç·ç
§å°ããããŸãã¯å€æãé£ããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯ééãã§ãããšãããšé»ããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ããä»®ã«ããã®ãœã¡ããœãªLv.84ã¯çŽ«å€ç·ç
§å°ããããããã¯å€æãé£ãããšããããšã¯äºå®ãšç°ãªããšããã°ãé»ããªãããšããããšã¯æãç«ã€ fact6: ä»®ã«ããã®ãœã¡ããœãªLv.84ã¯çŽ«å€ç·ç
§å°ãããå€æãé£ããªããäž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªããªããã®ãœã¡ããœãªLv.84ã¯é»ããªã ; $hypothesis$ = ãããããã玫å€ç·ç
§å°ããããããã¯å€æãé£ããªãããããã¯ã©ã¡ããã ããšããããšã¯åã ãšããã°é»ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æ¬åœã§ãã ; $proof$ = | fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): ({BI}x v ¬{EM}x) -> ¬{EI}x fact2: ¬({AA}{aa} v ¬{AB}{aa}) -> {B}{aa} fact3: (x): ¬({JA}x v ¬{HU}x) -> ¬{BD}x fact4: (Ex): ¬({AA}x v ¬{AB}x) -> {B}x fact5: ¬({AA}{aa} v {AB}{aa}) -> ¬{B}{aa} fact6: ¬({AA}{aa} v ¬{AB}{aa}) -> ¬{B}{aa} ; $hypothesis$ = (Ex): ¬({AA}x v ¬{AB}x) -> ¬{B}x ; $proof$ = | fact6 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.27ã¯å¿å®ã | {A}{a} | fact1: ä»®ã«ãã®ãœããœãLv.27ãå¿å®ããªããã®ãœããœãLv.27ã¯å°æããã fact2: ãã®ãœããœãLv.27ã¯å°æããããšããããšã¯ãªã fact3: å¡©èŸãã¢ã³ã¹ã¿ãŒã¯å¿å®ã | fact1: {A}{a} -> {B}{a} fact2: ¬{B}{a} fact3: (x): {C}x -> {A}x | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.27ã¯å¿å®ã; fact1 & assump1 -> int1: ãã®ãœããœãLv.27ã¯å°æããã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact1 & assump1 -> int1: {B}{a}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.27ã¯å¿å®ã | {A}{a} | [
"fact4 -> int3: ããä»®ã«ãã®ã¿ãã¿ãLv.0ãå¡©èŸããšããã°ããã¯å¿å®ã;"
] | 5 | 4 | 3 | 4 | 3 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãœããœãLv.27ãå¿å®ããªããã®ãœããœãLv.27ã¯å°æããã fact2: ãã®ãœããœãLv.27ã¯å°æããããšããããšã¯ãªã fact3: å¡©èŸãã¢ã³ã¹ã¿ãŒã¯å¿å®ã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.27ã¯å¿å®ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.27ã¯å¿å®ã; fact1 & assump1 -> int1: ãã®ãœããœãLv.27ã¯å°æããã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: ¬{B}{a} fact3: (x): {C}x -> {A}x ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact1 & assump1 -> int1: {B}{a}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã¡ãã¿ãLv.15ã¯çé
žã£ã±ããªã | ¬{B}{b} | fact1: ãã®ã·ãã·ãLv.49ã¯ç€ºãæããšããããšã¯ãªã fact2: ããä»®ã«ãã®ã·ãã·ãLv.49ã瀺ãæããªããšãããšãã®ã¿ã¡ãã¿ãLv.15ã¯é·ã£ãããããªãããããã¯ããã¯åããã fact3: ä»®ã«ãã®ã¿ã¡ãã¿ãLv.15ãé·ã£ãããããªãããããã¯ãããåããããªããã®ã¿ã¡ãã¿ãLv.15ã¯çé
žã£ã±ããšããããšã¯ãªã | fact1: ¬{A}{a} fact2: ¬{A}{a} -> (¬{AA}{b} v {AB}{b}) fact3: (¬{AA}{b} v {AB}{b}) -> ¬{B}{b} | [
"fact2 & fact1 -> int1: ãã®ã¿ã¡ãã¿ãLv.15ã¯é·ã£ãããããšããããšã¯ãªãããŸãã¯ããã¯åããããäž¡æ¹ã ; int1 & fact3 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: (¬{AA}{b} v {AB}{b}); int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã·ãã·ãLv.49ã¯ç€ºãæããšããããšã¯ãªã fact2: ããä»®ã«ãã®ã·ãã·ãLv.49ã瀺ãæããªããšãããšãã®ã¿ã¡ãã¿ãLv.15ã¯é·ã£ãããããªãããããã¯ããã¯åããã fact3: ä»®ã«ãã®ã¿ã¡ãã¿ãLv.15ãé·ã£ãããããªãããããã¯ãããåããããªããã®ã¿ã¡ãã¿ãLv.15ã¯çé
žã£ã±ããšããããšã¯ãªã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ãLv.15ã¯çé
žã£ã±ããªã ; $proof$ = | fact2 & fact1 -> int1: ãã®ã¿ã¡ãã¿ãLv.15ã¯é·ã£ãããããšããããšã¯ãªãããŸãã¯ããã¯åããããäž¡æ¹ã ; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} fact2: ¬{A}{a} -> (¬{AA}{b} v {AB}{b}) fact3: (¬{AA}{b} v {AB}{b}) -> ¬{B}{b} ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact2 & fact1 -> int1: (¬{AA}{b} v {AB}{b}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | äŸãããšããããšãèµ·ãã | {E} | fact1: ä»®ã«ãŽããŽãªLv.74äºä»¶ãçºçããªããªãå
ãé£ããšããããšãçããããŽããŽãªLv.74äºä»¶ã¯çºçããªã fact2: å¯ãŒããšããããšãèµ·ãã fact3: ããä»®ã«å¯ãŒããšããããšã¯çºçããªããšããã°äŸãããšããããšãçããããŸãçããšããããšãèµ·ãã fact4: ããä»®ã«å
ãé£ããšããããšãèµ·ããããŽããŽãªLv.74äºä»¶ã¯çºçããªããªãã°äŸãããšããããšã¯çºçããªã fact5: ãçããšããããšããã³å¯ãŒããšããããšäž¡æ¹ãçããããšããããšã¯ãŽããŽãªLv.74äºä»¶ãçºçãããšããããšãé²ã fact6: ä»®ã«å€ãããšãçããã°å
ãé£ããšããããšãçãã fact7: çããšããããšãèµ·ãã | fact1: ¬{C} -> ({D} & ¬{C}) fact2: {B} fact3: ¬{B} -> ({E} & {A}) fact4: ({D} & ¬{C}) -> ¬{E} fact5: ({A} & {B}) -> ¬{C} fact6: {F} -> {D} fact7: {A} | [
"fact7 & fact2 -> int1: çããšããããšãšå¯ãŒããšããããšäž¡æ¹ãçãã; int1 & fact5 -> int2: ãŽããŽãªLv.74äºä»¶ã¯çããªã; int2 & fact1 -> int3: å
ãé£ããšããããšãçãããã©ãŽããŽãªLv.74äºä»¶ã¯èµ·ãããªã; int3 & fact4 -> hypothesis;"
] | [
"fact7 & fact2 -> int1: ({A} & {B}); int1 & fact5 -> int2: ¬{C}; int2 & fact1 -> int3: ({D} & ¬{C}); int3 & fact4 -> hypothesis;"
] | äŸãããšããããšãèµ·ãã | {E} | [] | 7 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãŽããŽãªLv.74äºä»¶ãçºçããªããªãå
ãé£ããšããããšãçããããŽããŽãªLv.74äºä»¶ã¯çºçããªã fact2: å¯ãŒããšããããšãèµ·ãã fact3: ããä»®ã«å¯ãŒããšããããšã¯çºçããªããšããã°äŸãããšããããšãçããããŸãçããšããããšãèµ·ãã fact4: ããä»®ã«å
ãé£ããšããããšãèµ·ããããŽããŽãªLv.74äºä»¶ã¯çºçããªããªãã°äŸãããšããããšã¯çºçããªã fact5: ãçããšããããšããã³å¯ãŒããšããããšäž¡æ¹ãçããããšããããšã¯ãŽããŽãªLv.74äºä»¶ãçºçãããšããããšãé²ã fact6: ä»®ã«å€ãããšãçããã°å
ãé£ããšããããšãçãã fact7: çããšããããšãèµ·ãã ; $hypothesis$ = äŸãããšããããšãèµ·ãã ; $proof$ = | fact7 & fact2 -> int1: çããšããããšãšå¯ãŒããšããããšäž¡æ¹ãçãã; int1 & fact5 -> int2: ãŽããŽãªLv.74äºä»¶ã¯çããªã; int2 & fact1 -> int3: å
ãé£ããšããããšãçãããã©ãŽããŽãªLv.74äºä»¶ã¯èµ·ãããªã; int3 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{C} -> ({D} & ¬{C}) fact2: {B} fact3: ¬{B} -> ({E} & {A}) fact4: ({D} & ¬{C}) -> ¬{E} fact5: ({A} & {B}) -> ¬{C} fact6: {F} -> {D} fact7: {A} ; $hypothesis$ = {E} ; $proof$ = | fact7 & fact2 -> int1: ({A} & {B}); int1 & fact5 -> int2: ¬{C}; int2 & fact1 -> int3: ({D} & ¬{C}); int3 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã¿ãã¿ã¡ãLv.56ã¯ãã£ããããäžæ¹ã§ããã¯ç«ã¡ãããšããããšã¯ãªãããšããããšã¯æ£ãããšããããšã¯ãªã | ¬({D}{d} & ¬{E}{d}) | fact1: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãå å·¥ãæããªããªããã£ãããããããŸãã«ç«ã¡ããªã fact2: ãããã®ãŽã¡ããŽãLv.22ãããæããªããªããã®ãŽã¡ããŽãLv.22ã¯äžä»ãããããæããªã fact3: ããããã®ãŽã«ãŽã«ã
Lv.38ãå å·¥ãæããšãããšããã¯åãæ¿ãããªãããŸãã¯æããããªãããŸãã¯ã©ã¡ããã§ãã fact4: ãã®ãŽã«ãŽã«ã
Lv.38ã¯å å·¥ãæã fact5: ãããã®ãã«ããã¡ã
Lv.30ã¯ãã£ãããããšãããšããã®ã¿ãã¿ã¡ãLv.56ã¯ãã£ããããäžæ¹ã§ç«ã¡ããªãããšããããšã¯æãç«ããªã fact6: ããä»®ã«ãã®ãŽã¡ããŽãLv.22ãäžä»ãããããæããªããªããã®ãã«ããã¡ã
Lv.30ã¯ãã£ãããã fact7: ãã®ãŽã«ãŽã«ã
Lv.38ãåãæ¿ãããªããšããã°ãã®ãŽã¡ããŽãLv.22ã¯ããæããšããããšã¯ãªã fact8: ä»®ã«ãã®ãŽã«ãŽã«ã
Lv.38ãæããããªããšãããšãã®ãŽã¡ããŽãLv.22ã¯ããæããªã | fact1: (x): ¬{A}x -> ({D}x & ¬{E}x) fact2: ¬{B}{b} -> ({C}{b} & ¬{B}{b}) fact3: {A}{a} -> (¬{AA}{a} v ¬{AB}{a}) fact4: {A}{a} fact5: {D}{c} -> ¬({D}{d} & ¬{E}{d}) fact6: ({C}{b} & ¬{B}{b}) -> {D}{c} fact7: ¬{AA}{a} -> ¬{B}{b} fact8: ¬{AB}{a} -> ¬{B}{b} | [
"fact3 & fact4 -> int1: ãã®ãŽã«ãŽã«ã
Lv.38ã¯åãæ¿ãããªãããããã¯æããããšããããšã¯ãªã; int1 & fact7 & fact8 -> int2: ãã®ãŽã¡ããŽãLv.22ã¯ããæããªã; int2 & fact2 -> int3: ãã®ãŽã¡ããŽãLv.22ã¯äžä»ããäžæ¹ã§ããã¯ããæããªã; int3 & fact6 -> int4: ãã®ãã«ããã¡ã
Lv.30ã¯ãã£ãããã; int4 & fact5 -> hypothesis;"
] | [
"fact3 & fact4 -> int1: (¬{AA}{a} v ¬{AB}{a}); int1 & fact7 & fact8 -> int2: ¬{B}{b}; int2 & fact2 -> int3: ({C}{b} & ¬{B}{b}); int3 & fact6 -> int4: {D}{c}; int4 & fact5 -> hypothesis;"
] | ãã®ã¿ãã¿ã¡ãLv.56ã¯ãã£ããããããããç«ã¡ããªã | ({D}{d} & ¬{E}{d}) | [
"fact9 -> int5: ä»®ã«ãã®ã¿ãã¿ã¡ãLv.56ã¯å å·¥ãæããªããšããããã£ããããããããç«ã¡ããªã;"
] | 4 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãå å·¥ãæããªããªããã£ãããããããŸãã«ç«ã¡ããªã fact2: ãããã®ãŽã¡ããŽãLv.22ãããæããªããªããã®ãŽã¡ããŽãLv.22ã¯äžä»ãããããæããªã fact3: ããããã®ãŽã«ãŽã«ã
Lv.38ãå å·¥ãæããšãããšããã¯åãæ¿ãããªãããŸãã¯æããããªãããŸãã¯ã©ã¡ããã§ãã fact4: ãã®ãŽã«ãŽã«ã
Lv.38ã¯å å·¥ãæã fact5: ãããã®ãã«ããã¡ã
Lv.30ã¯ãã£ãããããšãããšããã®ã¿ãã¿ã¡ãLv.56ã¯ãã£ããããäžæ¹ã§ç«ã¡ããªãããšããããšã¯æãç«ããªã fact6: ããä»®ã«ãã®ãŽã¡ããŽãLv.22ãäžä»ãããããæããªããªããã®ãã«ããã¡ã
Lv.30ã¯ãã£ãããã fact7: ãã®ãŽã«ãŽã«ã
Lv.38ãåãæ¿ãããªããšããã°ãã®ãŽã¡ããŽãLv.22ã¯ããæããšããããšã¯ãªã fact8: ä»®ã«ãã®ãŽã«ãŽã«ã
Lv.38ãæããããªããšãããšãã®ãŽã¡ããŽãLv.22ã¯ããæããªã ; $hypothesis$ = ããã®ã¿ãã¿ã¡ãLv.56ã¯ãã£ããããäžæ¹ã§ããã¯ç«ã¡ãããšããããšã¯ãªãããšããããšã¯æ£ãããšããããšã¯ãªã ; $proof$ = | fact3 & fact4 -> int1: ãã®ãŽã«ãŽã«ã
Lv.38ã¯åãæ¿ãããªãããããã¯æããããšããããšã¯ãªã; int1 & fact7 & fact8 -> int2: ãã®ãŽã¡ããŽãLv.22ã¯ããæããªã; int2 & fact2 -> int3: ãã®ãŽã¡ããŽãLv.22ã¯äžä»ããäžæ¹ã§ããã¯ããæããªã; int3 & fact6 -> int4: ãã®ãã«ããã¡ã
Lv.30ã¯ãã£ãããã; int4 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{A}x -> ({D}x & ¬{E}x) fact2: ¬{B}{b} -> ({C}{b} & ¬{B}{b}) fact3: {A}{a} -> (¬{AA}{a} v ¬{AB}{a}) fact4: {A}{a} fact5: {D}{c} -> ¬({D}{d} & ¬{E}{d}) fact6: ({C}{b} & ¬{B}{b}) -> {D}{c} fact7: ¬{AA}{a} -> ¬{B}{b} fact8: ¬{AB}{a} -> ¬{B}{b} ; $hypothesis$ = ¬({D}{d} & ¬{E}{d}) ; $proof$ = | fact3 & fact4 -> int1: (¬{AA}{a} v ¬{AB}{a}); int1 & fact7 & fact8 -> int2: ¬{B}{b}; int2 & fact2 -> int3: ({C}{b} & ¬{B}{b}); int3 & fact6 -> int4: {D}{c}; int4 & fact5 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãã®ããLv.48ã¯ãããªã | {A}{a} | fact1: ãããããã®ãœããœãLv.8ã¯æ¥æãããããã©ãé»ããªãããšããããšã¯æãç«ããªããªããã®ãã®ããLv.48ã¯ã©ãé»ããªã fact2: ããä»®ã«ããã®ãã®ããLv.48ã¯ãããªãããšããããšã¯ç¢ºããªããã®ãœããœãLv.8ã¯å®ãæã | fact1: ¬({E}{b} & ¬{C}{b}) -> ¬{C}{a} fact2: {A}{a} -> {B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãã®ããLv.48ã¯ãããªã; fact2 & assump1 -> int1: ããã®ãœããœãLv.8ã¯å®ãæãããšããããšã¯æ¬åœã§ãã;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: {B}{b};"
] | ãã®ãœããœãLv.51ã¯å®ãæããªã | ¬{B}{ic} | [] | 7 | 4 | 3 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããã®ãœããœãLv.8ã¯æ¥æãããããã©ãé»ããªãããšããããšã¯æãç«ããªããªããã®ãã®ããLv.48ã¯ã©ãé»ããªã fact2: ããä»®ã«ããã®ãã®ããLv.48ã¯ãããªãããšããããšã¯ç¢ºããªããã®ãœããœãLv.8ã¯å®ãæã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãã®ããLv.48ã¯ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({E}{b} & ¬{C}{b}) -> ¬{C}{a} fact2: {A}{a} -> {B}{b} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãæ§åããããšããããšãèµ·ããããã©ã¿ãã¿ãªLv.22äºä»¶ã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({C} & ¬{D}) | fact1: ãŽã¡ããŽãLv.65äºä»¶ãšæ¬åœããããšããããšãèµ·ãã fact2: ããããæ¬åœããããšããããšãèµ·ããããšããããšã¯æ¬åœã§ãããšãããšãæ§åããããšããããšã¯çºçãããã¿ãã¿ãªLv.22äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã§ãªã | fact1: ({A} & {B}) fact2: {B} -> ¬({C} & ¬{D}) | [
"fact1 -> int1: æ¬åœããããšããããšãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãŽã¡ããŽãLv.65äºä»¶ãšæ¬åœããããšããããšãèµ·ãã fact2: ããããæ¬åœããããšããããšãèµ·ããããšããããšã¯æ¬åœã§ãããšãããšãæ§åããããšããããšã¯çºçãããã¿ãã¿ãªLv.22äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã§ãªã ; $hypothesis$ = ãæ§åããããšããããšãèµ·ããããã©ã¿ãã¿ãªLv.22äºä»¶ã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | fact1 -> int1: æ¬åœããããšããããšãèµ·ãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) fact2: {B} -> ¬({C} & ¬{D}) ; $hypothesis$ = ¬({C} & ¬{D}) ; $proof$ = | fact1 -> int1: {B}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | è¡æ£èããšããããšãçããããããã¿ãã¿ã®Lv.54äºä»¶ã¯èµ·ãããªã | ({F} & ¬{E}) | fact1: ééããããšãšã·ã¡ã
ã·ãLv.51äºä»¶ãèµ·ãã fact2: è¡æ£èããšããããšãèµ·ãã fact3: ã眹ãæããšããããšã¯ã·ã¡ã
ã·ãLv.51äºä»¶ã«åŒãèµ·ããããããšããããšã¯æ¬åœã§ãã fact4: ééããããšãèµ·ãã fact5: ãŸããŸãLv.84äºä»¶ãèµ·ãã fact6: ãããä¹ãæããšããããšã¯çããªããªãã°ã·ã¡ã
ã·ãLv.51äºä»¶ã¯çããªããŠãŸããŸãLv.84äºä»¶ã¯èµ·ããªã fact7: ã·ã¡ã
ã·ãLv.51äºä»¶ã¯çºçããªããªãã°ã眹ãæããšããããšã¯çºçãããã©ééããããšã¯èµ·ãããªãããšããããšã¯äºå®ãšç°ãªã fact8: ãã·ã®ã·ãLv.18äºä»¶ãèµ·ããããã®äžã·ãã·ã¡ãLv.99äºä»¶ãèµ·ããããšããããšã¯èª€ã£ãŠãããšããã°ä¹ãæããšããããšã¯èµ·ãããªã fact9: ä»®ã«ãã眹ãæããšããããšã¯çºçããããã©ééããããšã¯çããªãããšããããšã¯äºå®ã§ããããšããããšã¯äºå®ã§ãªããšãããšééããããšãçºçãã | fact1: ({A} & {B}) fact2: {F} fact3: {B} -> {C} fact4: {A} fact5: {D} fact6: ¬{G} -> (¬{B} & ¬{D}) fact7: ¬{B} -> ¬({C} & ¬{A}) fact8: ¬({I} & {H}) -> ¬{G} fact9: ¬({C} & ¬{A}) -> {A} | [
"fact1 -> int1: ã·ã¡ã
ã·ãLv.51äºä»¶ãçºçãã; int1 & fact3 -> int2: 眹ãæããšããããšãèµ·ãã; int2 & fact5 -> int3: 眹ãæããšããããšãèµ·ããããŸããŸãLv.84äºä»¶ãçãã;"
] | [
"fact1 -> int1: {B}; int1 & fact3 -> int2: {C}; int2 & fact5 -> int3: ({C} & {D});"
] | ãè¡æ£èããšããããšã¯çºçããããã©ã¿ãã¿ã®Lv.54äºä»¶ã¯çºçããªãããšããããšã¯åã | ¬({F} & ¬{E}) | [] | 9 | 5 | 5 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ééããããšãšã·ã¡ã
ã·ãLv.51äºä»¶ãèµ·ãã fact2: è¡æ£èããšããããšãèµ·ãã fact3: ã眹ãæããšããããšã¯ã·ã¡ã
ã·ãLv.51äºä»¶ã«åŒãèµ·ããããããšããããšã¯æ¬åœã§ãã fact4: ééããããšãèµ·ãã fact5: ãŸããŸãLv.84äºä»¶ãèµ·ãã fact6: ãããä¹ãæããšããããšã¯çããªããªãã°ã·ã¡ã
ã·ãLv.51äºä»¶ã¯çããªããŠãŸããŸãLv.84äºä»¶ã¯èµ·ããªã fact7: ã·ã¡ã
ã·ãLv.51äºä»¶ã¯çºçããªããªãã°ã眹ãæããšããããšã¯çºçãããã©ééããããšã¯èµ·ãããªãããšããããšã¯äºå®ãšç°ãªã fact8: ãã·ã®ã·ãLv.18äºä»¶ãèµ·ããããã®äžã·ãã·ã¡ãLv.99äºä»¶ãèµ·ããããšããããšã¯èª€ã£ãŠãããšããã°ä¹ãæããšããããšã¯èµ·ãããªã fact9: ä»®ã«ãã眹ãæããšããããšã¯çºçããããã©ééããããšã¯çããªãããšããããšã¯äºå®ã§ããããšããããšã¯äºå®ã§ãªããšãããšééããããšãçºçãã ; $hypothesis$ = è¡æ£èããšããããšãçããããããã¿ãã¿ã®Lv.54äºä»¶ã¯èµ·ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) fact2: {F} fact3: {B} -> {C} fact4: {A} fact5: {D} fact6: ¬{G} -> (¬{B} & ¬{D}) fact7: ¬{B} -> ¬({C} & ¬{A}) fact8: ¬({I} & {H}) -> ¬{G} fact9: ¬({C} & ¬{A}) -> {A} ; $hypothesis$ = ({F} & ¬{E}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãŸããŸã«ãLv.9äºä»¶ããŸã¡ããŸãLv.81äºä»¶ã¯èµ·ããªããšããããšãé²ã | {A} -> {C} | fact1: ãŸããŸã«ãLv.9äºä»¶ã¯çŽ 人ã£ãœããšããããšãèµ·ãããšããããšã®åå ãšãªã fact2: ã¿ã®ã¿ãLv.55äºä»¶ãçºçãã fact3: ç§æããããšã¯åããšããããšã«ç¹ãã fact4: ãœã¡ããœã«ã
Lv.11äºä»¶ã¯ãåããšããããšã¯èµ·ããªãããšããããšãé»æ¢ãã | fact1: {A} -> {B} fact2: {BG} fact3: {R} -> {EM} fact4: {IL} -> {EM} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããŸããŸã«ãLv.9äºä»¶ãçãã; fact1 & assump1 -> int1: çŽ äººã£ãœããšããããšãèµ·ãã;"
] | [
"void -> assump1: {A}; fact1 & assump1 -> int1: {B};"
] | null | null | [] | null | 4 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãŸããŸã«ãLv.9äºä»¶ã¯çŽ 人ã£ãœããšããããšãèµ·ãããšããããšã®åå ãšãªã fact2: ã¿ã®ã¿ãLv.55äºä»¶ãçºçãã fact3: ç§æããããšã¯åããšããããšã«ç¹ãã fact4: ãœã¡ããœã«ã
Lv.11äºä»¶ã¯ãåããšããããšã¯èµ·ããªãããšããããšãé»æ¢ãã ; $hypothesis$ = ãŸããŸã«ãLv.9äºä»¶ããŸã¡ããŸãLv.81äºä»¶ã¯èµ·ããªããšããããšãé²ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {B} fact2: {BG} fact3: {R} -> {EM} fact4: {IL} -> {EM} ; $hypothesis$ = {A} -> {C} ; $proof$ = | __UNKNOWN__ |
0.3 | å¯æ±ºæç«ããããšã¯çããªã | ¬{E} | fact1: æãæããšããããšãèµ·ãã fact2: ããçã¿æããšããããšã¯çºçããªããªããæãæããšããããšãçºçãããã©æãæããšããããšã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãã fact3: ãèã
ãããšããããšã¯èµ·ããªãããšããããšã¯ãå¯æ±ºæç«ããããšãèµ·ããããšããããšãé»ã fact4: çã¿æããšããããšãçãã fact5: ãæãæããšããããšãèµ·ããããšããããšã¯æãæããšããããšãå¥æ©ã fact6: ããæãæããšããããšãšçã¿æããšããããšãèµ·ãããšããã°èã
ãããšããããšã¯çºçããªã | fact1: {A} fact2: ¬{C} -> ¬({A} & ¬{B}) fact3: ¬{D} -> ¬{E} fact4: {C} fact5: {A} -> {B} fact6: ({B} & {C}) -> ¬{D} | [
"fact5 & fact1 -> int1: æãæããšããããšãèµ·ãã; int1 & fact4 -> int2: æãæããšããããšãèµ·ããããã€çã¿æããšããããšãèµ·ãã; int2 & fact6 -> int3: ãèã
ãããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€; int3 & fact3 -> hypothesis;"
] | [
"fact5 & fact1 -> int1: {B}; int1 & fact4 -> int2: ({B} & {C}); int2 & fact6 -> int3: ¬{D}; int3 & fact3 -> hypothesis;"
] | å¯æ±ºæç«ããããšãçºçãã | {E} | [] | 6 | 4 | 4 | 4 | 4 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: æãæããšããããšãèµ·ãã fact2: ããçã¿æããšããããšã¯çºçããªããªããæãæããšããããšãçºçãããã©æãæããšããããšã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãã fact3: ãèã
ãããšããããšã¯èµ·ããªãããšããããšã¯ãå¯æ±ºæç«ããããšãèµ·ããããšããããšãé»ã fact4: çã¿æããšããããšãçãã fact5: ãæãæããšããããšãèµ·ããããšããããšã¯æãæããšããããšãå¥æ©ã fact6: ããæãæããšããããšãšçã¿æããšããããšãèµ·ãããšããã°èã
ãããšããããšã¯çºçããªã ; $hypothesis$ = å¯æ±ºæç«ããããšã¯çããªã ; $proof$ = | fact5 & fact1 -> int1: æãæããšããããšãèµ·ãã; int1 & fact4 -> int2: æãæããšããããšãèµ·ããããã€çã¿æããšããããšãèµ·ãã; int2 & fact6 -> int3: ãèã
ãããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ¬{C} -> ¬({A} & ¬{B}) fact3: ¬{D} -> ¬{E} fact4: {C} fact5: {A} -> {B} fact6: ({B} & {C}) -> ¬{D} ; $hypothesis$ = ¬{E} ; $proof$ = | fact5 & fact1 -> int1: {B}; int1 & fact4 -> int2: ({B} & {C}); int2 & fact6 -> int3: ¬{D}; int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããããä»äºããããšããããšã¯ãªããšãããèªç€ºããªããŠåŸ¡æãèŽããªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬{A}x -> (¬{AA}x & ¬{AB}x) | fact1: èµ€é»ãã¢ã³ã¹ã¿ãŒã¯ç· çµããªããããã«é¢çœããªã fact2: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯é»ã£ãœããšããã°ãããã¯æ»
倱ããªããŠããã«æäœãæããªãããšããããšã¯æãç«ã€ fact3: ä»äºããããªãã¢ã³ã¹ã¿ãŒã¯èªç€ºããªã fact4: ãªãããã®ã¢ã³ã¹ã¿ãŒãèµ·ãå§ããªããšããã埡æãèŽããªããŠãã€ããã¯é¢èª¬ããªã | fact1: (x): {FS}x -> (¬{IL}x & ¬{AC}x) fact2: (x): {JE}x -> (¬{AJ}x & ¬{IA}x) fact3: (x): ¬{A}x -> ¬{AA}x fact4: (x): ¬{ED}x -> (¬{AB}x & ¬{CR}x) | [] | [] | ä»®ã«ãã®ãã¡ããã«Lv.12ãèµ·ãå§ããªããšããã°ãã®ãã¡ããã«Lv.12ã¯åŸ¡æãèŽããšããããšã¯ãªããé¢èª¬ããªã | ¬{ED}{cp} -> (¬{AB}{cp} & ¬{CR}{cp}) | [
"fact5 -> hypothesis;"
] | 1 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: èµ€é»ãã¢ã³ã¹ã¿ãŒã¯ç· çµããªããããã«é¢çœããªã fact2: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯é»ã£ãœããšããã°ãããã¯æ»
倱ããªããŠããã«æäœãæããªãããšããããšã¯æãç«ã€ fact3: ä»äºããããªãã¢ã³ã¹ã¿ãŒã¯èªç€ºããªã fact4: ãªãããã®ã¢ã³ã¹ã¿ãŒãèµ·ãå§ããªããšããã埡æãèŽããªããŠãã€ããã¯é¢èª¬ããªã ; $hypothesis$ = ããããä»äºããããšããããšã¯ãªããšãããèªç€ºããªããŠåŸ¡æãèŽããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {FS}x -> (¬{IL}x & ¬{AC}x) fact2: (x): {JE}x -> (¬{AJ}x & ¬{IA}x) fact3: (x): ¬{A}x -> ¬{AA}x fact4: (x): ¬{ED}x -> (¬{AB}x & ¬{CR}x) ; $hypothesis$ = (Ex): ¬{A}x -> (¬{AA}x & ¬{AB}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãŸã¡ã
ãŸãLv.68äºä»¶ã¯çºçããªã | ¬{C} | fact1: ããã®ãã«ãLv.45äºä»¶ãšåŒãèµ·ããæããšããããšãçããããšããããšã¯ãŸã¡ã
ãŸãLv.68äºä»¶ãé»ã fact2: ãã®ãã«ãLv.45äºä»¶ãçãã fact3: åŒãèµ·ããæããšããããšãçºçãã | fact1: ({A} & {B}) -> ¬{C} fact2: {A} fact3: {B} | [
"fact2 & fact3 -> int1: ãã®ãã«ãLv.45äºä»¶ããã³åŒãèµ·ããæããšããããšã©ã¡ãããçºçãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: ({A} & {B}); int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ãã«ãLv.45äºä»¶ãšåŒãèµ·ããæããšããããšãçããããšããããšã¯ãŸã¡ã
ãŸãLv.68äºä»¶ãé»ã fact2: ãã®ãã«ãLv.45äºä»¶ãçãã fact3: åŒãèµ·ããæããšããããšãçºçãã ; $hypothesis$ = ãŸã¡ã
ãŸãLv.68äºä»¶ã¯çºçããªã ; $proof$ = | fact2 & fact3 -> int1: ãã®ãã«ãLv.45äºä»¶ããã³åŒãèµ·ããæããšããããšã©ã¡ãããçºçãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: {A} fact3: {B} ; $hypothesis$ = ¬{C} ; $proof$ = | fact2 & fact3 -> int1: ({A} & {B}); int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã«ãããLv.22ã¯ç©åãŸãããªã | ¬{A}{a} | fact1: ãã®ã·ã¡ãã·ãªLv.18ããã©ããªããªããã®ãã«ãããLv.45ã¯äœæäœæãã fact2: ãã®ãã«ãããLv.45ã¯äœæäœæãããšããããšã¯ãªã fact3: ãããããã®ã·ã¡ãã·ãªLv.18ã¯ãã©ããªããªããã©ããã¯ç©åãŸããããšããããšã¯æãç«ããªããšããããã®ãã«ãããLv.22ã¯æ¥ããããªã fact4: ä»®ã«ãäœæäœæãããã¢ã³ã¹ã¿ãŒãããã°ãã®ãã«ãããLv.22ã¯ç©åãŸãããå ããŠãã©ããªã fact5: ããä»®ã«ãã®ãã«ãããLv.22ãç©åãŸãããšãããšãã®ã·ã¡ãã·ãªLv.18ã¯ãã©ããªã | fact1: {B}{b} -> {C}{c} fact2: ¬{C}{c} fact3: ¬(¬{B}{b} & {A}{b}) -> ¬{JE}{a} fact4: (x): {C}x -> ({A}{a} & {B}{a}) fact5: {A}{a} -> {B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãã«ãããLv.22ã¯ç©åãŸãã; fact5 & assump1 -> int1: ããã®ã·ã¡ãã·ãªLv.18ã¯ãã©ããªãããšããããšã¯æãç«ã€; int1 & fact1 -> int2: ãã®ãã«ãããLv.45ã¯äœæäœæãã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact5 & assump1 -> int1: {B}{b}; int1 & fact1 -> int2: {C}{c}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | ãã®ãã«ãããLv.22ã¯æ¥ããããªã | ¬{JE}{a} | [] | 5 | 5 | 4 | 5 | 4 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã¡ãã·ãªLv.18ããã©ããªããªããã®ãã«ãããLv.45ã¯äœæäœæãã fact2: ãã®ãã«ãããLv.45ã¯äœæäœæãããšããããšã¯ãªã fact3: ãããããã®ã·ã¡ãã·ãªLv.18ã¯ãã©ããªããªããã©ããã¯ç©åãŸããããšããããšã¯æãç«ããªããšããããã®ãã«ãããLv.22ã¯æ¥ããããªã fact4: ä»®ã«ãäœæäœæãããã¢ã³ã¹ã¿ãŒãããã°ãã®ãã«ãããLv.22ã¯ç©åãŸãããå ããŠãã©ããªã fact5: ããä»®ã«ãã®ãã«ãããLv.22ãç©åãŸãããšãããšãã®ã·ã¡ãã·ãªLv.18ã¯ãã©ããªã ; $hypothesis$ = ãã®ãã«ãããLv.22ã¯ç©åãŸãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãã«ãããLv.22ã¯ç©åãŸãã; fact5 & assump1 -> int1: ããã®ã·ã¡ãã·ãªLv.18ã¯ãã©ããªãããšããããšã¯æãç«ã€; int1 & fact1 -> int2: ãã®ãã«ãããLv.45ã¯äœæäœæãã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{b} -> {C}{c} fact2: ¬{C}{c} fact3: ¬(¬{B}{b} & {A}{b}) -> ¬{JE}{a} fact4: (x): {C}x -> ({A}{a} & {B}{a}) fact5: {A}{a} -> {B}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact5 & assump1 -> int1: {B}{b}; int1 & fact1 -> int2: {C}{c}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåããªããŠæšãããããªãããšããããšã¯èª€ãã | ¬(¬{AA}{aa} & ¬{AB}{aa}) | fact1: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯æšãããããšããããããã¯åå©ããããšããããšã¯æ¬åœã§ãã fact2: ããããããã¢ã³ã¹ã¿ãŒã¯çœªæ·±ããªããŠçãé£ããªãããšããããšã¯æãç«ããªããšãããšæ
ç¡ã fact3: ããä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯é²ãåããªããæšãããããšããããšã¯ãªãããšããããšã¯ééãã§ãããšããã°ããã¯åå©ãã fact4: ãã®ã¿ã¡ãã¿ã«ãLv.27ã¯æšãããããªã fact5: ããä»®ã«ããã®ãŽã¡ããŽãLv.8ã¯å€å¥ãé£ããªãããšããããšã¯äºå®ã§ãããšãããšããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåãããšããããšã¯ãªããæšãããããªãããšããããšã¯åœã§ãã fact6: ãã®ã¿ã¡ãã¿ã«ãLv.27ã¯åå©ããªã fact7: ããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåããªããã©ããã¯æšããããããšããããšã¯äºå®ãšç°ãªã | fact1: (x): {AB}x -> {B}x fact2: (x): ¬(¬{JG}x & ¬{GK}x) -> {GA}x fact3: (x): ¬(¬{AA}x & ¬{AB}x) -> {B}x fact4: ¬{AB}{aa} fact5: ¬{A}{a} -> ¬(¬{AA}{aa} & ¬{AB}{aa}) fact6: ¬{B}{aa} fact7: ¬(¬{AA}{aa} & {AB}{aa}) | [
"fact3 -> int1: ä»®ã«ããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåããªããæšãããããªãããšããããšã¯åã ãšããã°ããã¯åå©ãã; void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåããªããŠæšãããããªãããšããããšã¯èª€ãã ; int1 & assump1 -> int2: ãã®ã¿ã¡ãã¿ã«ãLv.27ã¯åå©ãã; int2 & fact6 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"fact3 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; void -> assump1: ¬(¬{AA}{aa} & ¬{AB}{aa}); int1 & assump1 -> int2: {B}{aa}; int2 & fact6 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ãããããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåããªããŠæšãããããªãããšããããšã¯èª€ãã | ¬(¬{AA}{aa} & ¬{AB}{aa}) | [] | 5 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯æšãããããšããããããã¯åå©ããããšããããšã¯æ¬åœã§ãã fact2: ããããããã¢ã³ã¹ã¿ãŒã¯çœªæ·±ããªããŠçãé£ããªãããšããããšã¯æãç«ããªããšãããšæ
ç¡ã fact3: ããä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯é²ãåããªããæšãããããšããããšã¯ãªãããšããããšã¯ééãã§ãããšããã°ããã¯åå©ãã fact4: ãã®ã¿ã¡ãã¿ã«ãLv.27ã¯æšãããããªã fact5: ããä»®ã«ããã®ãŽã¡ããŽãLv.8ã¯å€å¥ãé£ããªãããšããããšã¯äºå®ã§ãããšãããšããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåãããšããããšã¯ãªããæšãããããªãããšããããšã¯åœã§ãã fact6: ãã®ã¿ã¡ãã¿ã«ãLv.27ã¯åå©ããªã fact7: ããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåããªããã©ããã¯æšããããããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåããªããŠæšãããããªãããšããããšã¯èª€ãã ; $proof$ = | fact3 -> int1: ä»®ã«ããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåããªããæšãããããªãããšããããšã¯åã ãšããã°ããã¯åå©ãã; void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ã¿ã¡ãã¿ã«ãLv.27ã¯é²ãåããªããŠæšãããããªãããšããããšã¯èª€ãã ; int1 & assump1 -> int2: ãã®ã¿ã¡ãã¿ã«ãLv.27ã¯åå©ãã; int2 & fact6 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {AB}x -> {B}x fact2: (x): ¬(¬{JG}x & ¬{GK}x) -> {GA}x fact3: (x): ¬(¬{AA}x & ¬{AB}x) -> {B}x fact4: ¬{AB}{aa} fact5: ¬{A}{a} -> ¬(¬{AA}{aa} & ¬{AB}{aa}) fact6: ¬{B}{aa} fact7: ¬(¬{AA}{aa} & {AB}{aa}) ; $hypothesis$ = ¬(¬{AA}{aa} & ¬{AB}{aa}) ; $proof$ = | fact3 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; void -> assump1: ¬(¬{AA}{aa} & ¬{AB}{aa}); int1 & assump1 -> int2: {B}{aa}; int2 & fact6 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãããèãæããªãããããã¯çµçããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯ééã£ãŠãããšãããéåãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åã§ãã | ¬((Ex): ¬(¬{AA}x v {AB}x) -> {B}x) | fact1: ããããšããã¢ã³ã¹ã¿ãŒã¯ããçããªãããããã¯ããã¯å€ªããäž¡æ¹ã§ããããšããããšã¯ééããªãã°ããã¯èãæã fact2: ããä»®ã«ããã®ãœããœãLv.47ã¯èŸŒã¿äžãããšããããšã¯ãªãããããã¯ããã¯èãæãããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ããªããªããã®ãœããœãLv.47ã¯åã¡æã fact3: ããããããã®ãŸã«ã
ãŸãLv.73ã¯èãæããªãããŸãã¯çµçããããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ãªãããã¯éåãã | fact1: (x): ¬(¬{AU}x v {JC}x) -> {AA}x fact2: ¬(¬{JF}{cg} v {AA}{cg}) -> {CU}{cg} fact3: ¬(¬{AA}{aa} v {AB}{aa}) -> {B}{aa} | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ä»®ã«ããã®ã¿ã®ã¿ã«Lv.61ã¯ããçããªãããããã¯å€ªãããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ãã§ãããªãã°ãã®ã¿ã®ã¿ã«Lv.61ã¯èãæã | ¬(¬{AU}{jg} v {JC}{jg}) -> {AA}{jg} | [
"fact4 -> hypothesis;"
] | 1 | 1 | 1 | 1 | 1 | 2 | 0 | 2 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ããããšããã¢ã³ã¹ã¿ãŒã¯ããçããªãããããã¯ããã¯å€ªããäž¡æ¹ã§ããããšããããšã¯ééããªãã°ããã¯èãæã fact2: ããä»®ã«ããã®ãœããœãLv.47ã¯èŸŒã¿äžãããšããããšã¯ãªãããããã¯ããã¯èãæãããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ããªããªããã®ãœããœãLv.47ã¯åã¡æã fact3: ããããããã®ãŸã«ã
ãŸãLv.73ã¯èãæããªãããŸãã¯çµçããããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ãªãããã¯éåãã ; $hypothesis$ = ãããèãæããªãããããã¯çµçããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯ééã£ãŠãããšãããéåãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åã§ãã ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬(¬{AU}x v {JC}x) -> {AA}x fact2: ¬(¬{JF}{cg} v {AA}{cg}) -> {CU}{cg} fact3: ¬(¬{AA}{aa} v {AB}{aa}) -> {B}{aa} ; $hypothesis$ = ¬((Ex): ¬(¬{AA}x v {AB}x) -> {B}x) ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããããã®Lv.82äºä»¶ãçºçããããšããããšã¯çå®ã§ãã | {G} | fact1: ãæãåºæ·±ããšããããšã¯èµ·ãããªãããšããããšã¯ãèœã£ãã¡ãããšã¯èµ·ãããªãããã®äžæãåºæ·±ããšããããšã¯çºçããªãããšããããšã«åž°çµãã fact2: èœã£ãã¡ãããšãèµ·ãããªããŠå ããŠæãåºæ·±ããšããããšã¯èµ·ãããªããšããã°ãããã®Lv.82äºä»¶ã¯çºçãã fact3: èªã¿å§ããããšãçãããšããããšã¯ãåŠå®ãé£ããšããããšã¯èµ·ãããªãããšããããšãé»æ¢ãã fact4: ããœã«ããœã®Lv.99äºä»¶ãçºçããªããŠçŸã
ãããšããããšã¯çºçããããšããããšã¯ãŸããŸãLv.28äºä»¶ã«åž°çµãã fact5: çãé£ããšããããšãçãã fact6: ã·ãã·ãLv.56äºä»¶ã¯å³ãé£ããšããããšã¯çºçããªããšããããšãé²ã fact7: å³ãé£ããšããããšã¯ãœã¡ããœã¡ãLv.23äºä»¶ã«ç±æ¥ãã fact8: ãä»®ã«ããããŸãããšããããšã¯èµ·ããªããªãã°æãåºæ·±ããšããããšãšèœã£ãã¡ãããšãèµ·ããããšããããšã¯æãç«ã€ fact9: ã·ãã·ãLv.56äºä»¶ããããã¯ãœã¡ããœã¡ãLv.23äºä»¶ãäž¡æ¹ãèµ·ãã | fact1: ¬{E} -> (¬{F} & ¬{E}) fact2: (¬{F} & ¬{E}) -> {G} fact3: {JD} -> {Q} fact4: (¬{BD} & {AK}) -> {DU} fact5: {D} fact6: {A} -> {C} fact7: {B} -> {C} fact8: ¬{H} -> ({E} & {F}) fact9: ({A} v {B}) | [
"fact9 & fact6 & fact7 -> int1: å³ãé£ããšããããšãçãã; int1 & fact5 -> int2: å³ãé£ããšããããšãšçãé£ããšããããšã©ã¡ãããçºçãã;"
] | [
"fact9 & fact6 & fact7 -> int1: {C}; int1 & fact5 -> int2: ({C} & {D});"
] | ãããã®Lv.82äºä»¶ã¯èµ·ãããªã | ¬{G} | [] | 6 | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãæãåºæ·±ããšããããšã¯èµ·ãããªãããšããããšã¯ãèœã£ãã¡ãããšã¯èµ·ãããªãããã®äžæãåºæ·±ããšããããšã¯çºçããªãããšããããšã«åž°çµãã fact2: èœã£ãã¡ãããšãèµ·ãããªããŠå ããŠæãåºæ·±ããšããããšã¯èµ·ãããªããšããã°ãããã®Lv.82äºä»¶ã¯çºçãã fact3: èªã¿å§ããããšãçãããšããããšã¯ãåŠå®ãé£ããšããããšã¯èµ·ãããªãããšããããšãé»æ¢ãã fact4: ããœã«ããœã®Lv.99äºä»¶ãçºçããªããŠçŸã
ãããšããããšã¯çºçããããšããããšã¯ãŸããŸãLv.28äºä»¶ã«åž°çµãã fact5: çãé£ããšããããšãçãã fact6: ã·ãã·ãLv.56äºä»¶ã¯å³ãé£ããšããããšã¯çºçããªããšããããšãé²ã fact7: å³ãé£ããšããããšã¯ãœã¡ããœã¡ãLv.23äºä»¶ã«ç±æ¥ãã fact8: ãä»®ã«ããããŸãããšããããšã¯èµ·ããªããªãã°æãåºæ·±ããšããããšãšèœã£ãã¡ãããšãèµ·ããããšããããšã¯æãç«ã€ fact9: ã·ãã·ãLv.56äºä»¶ããããã¯ãœã¡ããœã¡ãLv.23äºä»¶ãäž¡æ¹ãèµ·ãã ; $hypothesis$ = ããããã®Lv.82äºä»¶ãçºçããããšããããšã¯çå®ã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{E} -> (¬{F} & ¬{E}) fact2: (¬{F} & ¬{E}) -> {G} fact3: {JD} -> {Q} fact4: (¬{BD} & {AK}) -> {DU} fact5: {D} fact6: {A} -> {C} fact7: {B} -> {C} fact8: ¬{H} -> ({E} & {F}) fact9: ({A} v {B}) ; $hypothesis$ = {G} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ããããLv.69ã¯æ¶èããšããããšã¯ãªããããã¯å·¥å€«ããããšããããšã¯æãç«ããªã | ¬(¬{D}{aa} v {B}{aa}) | fact1: æ°æ¥ããããã¢ã³ã¹ã¿ãŒã¯æã¿èŸŒã¿æããšããããšã¯ãªãããããå®ãã fact2: ããä»®ã«ãã®ããããLv.69ã¯å·¥å€«ããªããªãã°ããã®ããããLv.69ã¯æ¶èããªãã工倫ãããäž¡æ¹ãšãã ããšããããšã¯æãç«ããªã fact3: ãã®ããããLv.69ã¯æ°æ¥ãããã fact4: ããä»®ã«ãã®ããããLv.69ã¯æã¿èŸŒã¿æããªããã©å®ãããšããã°ããã¯å·¥å€«ããªã | fact1: (x): {A}x -> (¬{AA}x & {AB}x) fact2: ¬{B}{aa} -> ¬(¬{D}{aa} v {B}{aa}) fact3: {A}{aa} fact4: (¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa} | [
"fact1 -> int1: ä»®ã«ããã®ããããLv.69ã¯æ°æ¥ããããããšããããšã¯æãç«ãŠã°æã¿èŸŒã¿æããªããå®ãã; int1 & fact3 -> int2: ãã®ããããLv.69ã¯æã¿èŸŒã¿æããªããã©å®ãã; int2 & fact4 -> int3: ãã®ããããLv.69ã¯å·¥å€«ããªã; int3 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{aa} -> (¬{AA}{aa} & {AB}{aa}); int1 & fact3 -> int2: (¬{AA}{aa} & {AB}{aa}); int2 & fact4 -> int3: ¬{B}{aa}; int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: æ°æ¥ããããã¢ã³ã¹ã¿ãŒã¯æã¿èŸŒã¿æããšããããšã¯ãªãããããå®ãã fact2: ããä»®ã«ãã®ããããLv.69ã¯å·¥å€«ããªããªãã°ããã®ããããLv.69ã¯æ¶èããªãã工倫ãããäž¡æ¹ãšãã ããšããããšã¯æãç«ããªã fact3: ãã®ããããLv.69ã¯æ°æ¥ãããã fact4: ããä»®ã«ãã®ããããLv.69ã¯æã¿èŸŒã¿æããªããã©å®ãããšããã°ããã¯å·¥å€«ããªã ; $hypothesis$ = ããã®ããããLv.69ã¯æ¶èããšããããšã¯ãªããããã¯å·¥å€«ããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ä»®ã«ããã®ããããLv.69ã¯æ°æ¥ããããããšããããšã¯æãç«ãŠã°æã¿èŸŒã¿æããªããå®ãã; int1 & fact3 -> int2: ãã®ããããLv.69ã¯æã¿èŸŒã¿æããªããã©å®ãã; int2 & fact4 -> int3: ãã®ããããLv.69ã¯å·¥å€«ããªã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x -> (¬{AA}x & {AB}x) fact2: ¬{B}{aa} -> ¬(¬{D}{aa} v {B}{aa}) fact3: {A}{aa} fact4: (¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa} ; $hypothesis$ = ¬(¬{D}{aa} v {B}{aa}) ; $proof$ = | fact1 -> int1: {A}{aa} -> (¬{AA}{aa} & {AB}{aa}); int1 & fact3 -> int2: (¬{AA}{aa} & {AB}{aa}); int2 & fact4 -> int3: ¬{B}{aa}; int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããããšã¯çããªã | ¬{F} | fact1: ã¡ã£ã¡ãããšããããšãèµ·ãã fact2: ãããããªããšããããšã¯èµ·ããªãããšããããšã¯çãé£ããšããããšã«é²ããã fact3: ãããããLv.49äºä»¶ã¯èµ·ãããªãããšããããšã¯ãå³å€ªããšããããšãšãã®ããLv.6äºä»¶ãçããããšããããšãçºçããã fact4: ãããããªããšããããšãšã¡ã£ã¡ãããšããããšãçããããšããããšã¯ãããããšã¯çºçããªãããšããããšãåŒãèµ·ãã fact5: ãã®ããLv.6äºä»¶ããŸãã¯ãããããLv.49äºä»¶ã¯èµ·ããªãããšããããšã¯çãé£ããšããããšã®åå ãšãªã | fact1: {E} fact2: {C} -> {D} fact3: ¬{B} -> ({DJ} & {A}) fact4: ({D} & {E}) -> ¬{F} fact5: ({A} v ¬{B}) -> {C} | [] | [] | å³å€ªããšããããšãçãã | {DJ} | [] | 6 | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã¡ã£ã¡ãããšããããšãèµ·ãã fact2: ãããããªããšããããšã¯èµ·ããªãããšããããšã¯çãé£ããšããããšã«é²ããã fact3: ãããããLv.49äºä»¶ã¯èµ·ãããªãããšããããšã¯ãå³å€ªããšããããšãšãã®ããLv.6äºä»¶ãçããããšããããšãçºçããã fact4: ãããããªããšããããšãšã¡ã£ã¡ãããšããããšãçããããšããããšã¯ãããããšã¯çºçããªãããšããããšãåŒãèµ·ãã fact5: ãã®ããLv.6äºä»¶ããŸãã¯ãããããLv.49äºä»¶ã¯èµ·ããªãããšããããšã¯çãé£ããšããããšã®åå ãšãªã ; $hypothesis$ = ããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {E} fact2: {C} -> {D} fact3: ¬{B} -> ({DJ} & {A}) fact4: ({D} & {E}) -> ¬{F} fact5: ({A} v ¬{B}) -> {C} ; $hypothesis$ = ¬{F} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããŒããšããããšã¯çºçããªã | ¬{C} | fact1: ã¿ãã¿ã«Lv.31äºä»¶ã¯çããªã fact2: ãã¿ãã¿ã«Lv.31äºä»¶ã¯èµ·ããªãããšããããšã¯èªã¿æããšããããšã«é»ãŸãã fact3: ãããŒããšããããšã¯èªã¿æããšããããšã¯èµ·ããªããšããããšã«é»æ¢ããã | fact1: ¬{B} fact2: {A} -> {B} fact3: ¬{A} -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããèªã¿æããšããããšãèµ·ãã; fact2 & assump1 -> int1: ã¿ãã¿ã«Lv.31äºä»¶ãçãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: èªã¿æããšããããšã¯çããªã; int3 & fact3 -> hypothesis;"
] | [
"void -> assump1: {A}; fact2 & assump1 -> int1: {B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ã¿ãã¿ã«Lv.31äºä»¶ã¯çããªã fact2: ãã¿ãã¿ã«Lv.31äºä»¶ã¯èµ·ããªãããšããããšã¯èªã¿æããšããããšã«é»ãŸãã fact3: ãããŒããšããããšã¯èªã¿æããšããããšã¯èµ·ããªããšããããšã«é»æ¢ããã ; $hypothesis$ = ãããŒããšããããšã¯çºçããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããèªã¿æããšããããšãèµ·ãã; fact2 & assump1 -> int1: ã¿ãã¿ã«Lv.31äºä»¶ãçãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: èªã¿æããšããããšã¯çããªã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} fact2: {A} -> {B} fact3: ¬{A} -> ¬{C} ; $hypothesis$ = ¬{C} ; $proof$ = | void -> assump1: {A}; fact2 & assump1 -> int1: {B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸã¡ããŸãªLv.18ã¯æç·©ããŠãã€åçãã | ({C}{a} & {D}{a}) | fact1: ãã®ã·ã¡ãã·ã¡ãLv.29ã¯ç©ã
ãããªã fact2: ãã®ã·ã¡ãã·ã¡ãLv.29ã¯ããšããããªã fact3: ããä»®ã«ãã®ã·ã¡ãã·ã¡ãLv.29ãå³æ°ãªããªããŠããšããããªããšããããã®ãŸã¡ããŸãªLv.18ã¯èžã¿æ¢ãŸãã fact4: ãã®ãŸã¡ããŸãªLv.18ã¯åçãã fact5: ããããã®ãã¡ãããLv.74ãæå³æ·±ããªããªããã®ãã¡ãããLv.74ã¯ããšããããªã fact6: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯ç©ã
ãããªããªããããã¯æç·©ããŠåçããããšããããšã¯èª€ãã fact7: ããä»®ã«ãã®ãŸã¡ããŸãªLv.18ã¯èžã¿æ¢ãŸãããšããã°ãæç·©ãããšããããšã¯æãç«ã€ fact8: ç©ã
ãããªãã¢ã³ã¹ã¿ãŒã¯å³æ°ãªããªããŠãã®äžããšããããªã fact9: ãã®ãŸã¡ããŸãªLv.18ã¯åç¶ãé£ã fact10: ç©ã
ãããªãã¢ã³ã¹ã¿ãŒã¯èžã¿æ¢ãŸããªããæŽã«åçããªã | fact1: ¬{A}{aa} fact2: ¬{AB}{aa} fact3: (¬{AA}{aa} & ¬{AB}{aa}) -> {B}{a} fact4: {D}{a} fact5: ¬{HC}{o} -> ¬{AB}{o} fact6: (x): ¬{A}x -> ¬({C}x & {D}x) fact7: {B}{a} -> {C}{a} fact8: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact9: {DI}{a} fact10: (x): ¬{A}x -> (¬{B}x & ¬{D}x) | [
"fact8 -> int1: ä»®ã«ãã®ã·ã¡ãã·ã¡ãLv.29ãç©ã
ãããªããªãããã¯å³æ°ãªããªããŠãã®äžããšããããªã; int1 & fact1 -> int2: ãã®ã·ã¡ãã·ã¡ãLv.29ã¯å³æ°ãªããšããããšã¯ãªããŠããŸãã«ããã¯ããšããããªã; int2 & fact3 -> int3: ãã®ãŸã¡ããŸãªLv.18ã¯èžã¿æ¢ãŸãã; int3 & fact7 -> int4: ãã®ãŸã¡ããŸãªLv.18ã¯æç·©ã; int4 & fact4 -> hypothesis;"
] | [
"fact8 -> int1: ¬{A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> int2: (¬{AA}{aa} & ¬{AB}{aa}); int2 & fact3 -> int3: {B}{a}; int3 & fact7 -> int4: {C}{a}; int4 & fact4 -> hypothesis;"
] | ããã®ãŸã¡ããŸãªLv.18ã¯æç·©ããåçããããšããããšã¯æãç«ããªã | ¬({C}{a} & {D}{a}) | [
"fact11 -> int5: ãã®ãŸã¡ããŸãªLv.18ã¯ç©ã
ãããªããšããã°ãããã¯æç·©ããŠåçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã;"
] | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã¡ãã·ã¡ãLv.29ã¯ç©ã
ãããªã fact2: ãã®ã·ã¡ãã·ã¡ãLv.29ã¯ããšããããªã fact3: ããä»®ã«ãã®ã·ã¡ãã·ã¡ãLv.29ãå³æ°ãªããªããŠããšããããªããšããããã®ãŸã¡ããŸãªLv.18ã¯èžã¿æ¢ãŸãã fact4: ãã®ãŸã¡ããŸãªLv.18ã¯åçãã fact5: ããããã®ãã¡ãããLv.74ãæå³æ·±ããªããªããã®ãã¡ãããLv.74ã¯ããšããããªã fact6: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯ç©ã
ãããªããªããããã¯æç·©ããŠåçããããšããããšã¯èª€ãã fact7: ããä»®ã«ãã®ãŸã¡ããŸãªLv.18ã¯èžã¿æ¢ãŸãããšããã°ãæç·©ãããšããããšã¯æãç«ã€ fact8: ç©ã
ãããªãã¢ã³ã¹ã¿ãŒã¯å³æ°ãªããªããŠãã®äžããšããããªã fact9: ãã®ãŸã¡ããŸãªLv.18ã¯åç¶ãé£ã fact10: ç©ã
ãããªãã¢ã³ã¹ã¿ãŒã¯èžã¿æ¢ãŸããªããæŽã«åçããªã ; $hypothesis$ = ãã®ãŸã¡ããŸãªLv.18ã¯æç·©ããŠãã€åçãã ; $proof$ = | fact8 -> int1: ä»®ã«ãã®ã·ã¡ãã·ã¡ãLv.29ãç©ã
ãããªããªãããã¯å³æ°ãªããªããŠãã®äžããšããããªã; int1 & fact1 -> int2: ãã®ã·ã¡ãã·ã¡ãLv.29ã¯å³æ°ãªããšããããšã¯ãªããŠããŸãã«ããã¯ããšããããªã; int2 & fact3 -> int3: ãã®ãŸã¡ããŸãªLv.18ã¯èžã¿æ¢ãŸãã; int3 & fact7 -> int4: ãã®ãŸã¡ããŸãªLv.18ã¯æç·©ã; int4 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{aa} fact2: ¬{AB}{aa} fact3: (¬{AA}{aa} & ¬{AB}{aa}) -> {B}{a} fact4: {D}{a} fact5: ¬{HC}{o} -> ¬{AB}{o} fact6: (x): ¬{A}x -> ¬({C}x & {D}x) fact7: {B}{a} -> {C}{a} fact8: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact9: {DI}{a} fact10: (x): ¬{A}x -> (¬{B}x & ¬{D}x) ; $hypothesis$ = ({C}{a} & {D}{a}) ; $proof$ = | fact8 -> int1: ¬{A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> int2: (¬{AA}{aa} & ¬{AB}{aa}); int2 & fact3 -> int3: {B}{a}; int3 & fact7 -> int4: {C}{a}; int4 & fact4 -> hypothesis; __PROVED__ |
0.3 | å®ãç¶ããããšã¯çããªã | ¬{A} | fact1: å ãé£ããšããããšã¯çºçããªã fact2: ããä»®ã«ãã·ãã·ãLv.27äºä»¶ã¯èµ·ããªããŠãŽããŽã¡ãLv.29äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªããšãããå®ãç¶ããããšã¯èµ·ãããªã fact3: ãã·ãã·ãLv.27äºä»¶ã¯çããªããŠãŽããŽã¡ãLv.29äºä»¶ã¯èµ·ããªãããšããããšã¯ãå ãé£ããšããããšã¯çºçããªãããšããããšãåé¿ãã | fact1: ¬{B} fact2: ¬(¬{AA} & ¬{AB}) -> ¬{A} fact3: (¬{AA} & ¬{AB}) -> {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ãLv.27äºä»¶ãçºçããªããŠãŸããŽããŽã¡ãLv.29äºä»¶ã¯èµ·ããªã; fact3 & assump1 -> int1: å ãé£ããšããããšãçºçãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã·ãã·ãLv.27äºä»¶ã¯çããªãããŽããŽã¡ãLv.29äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªã; int3 & fact2 -> hypothesis;"
] | [
"void -> assump1: (¬{AA} & ¬{AB}); fact3 & assump1 -> int1: {B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{AA} & ¬{AB}); int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: å ãé£ããšããããšã¯çºçããªã fact2: ããä»®ã«ãã·ãã·ãLv.27äºä»¶ã¯èµ·ããªããŠãŽããŽã¡ãLv.29äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªããšãããå®ãç¶ããããšã¯èµ·ãããªã fact3: ãã·ãã·ãLv.27äºä»¶ã¯çããªããŠãŽããŽã¡ãLv.29äºä»¶ã¯èµ·ããªãããšããããšã¯ãå ãé£ããšããããšã¯çºçããªãããšããããšãåé¿ãã ; $hypothesis$ = å®ãç¶ããããšã¯çããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ãLv.27äºä»¶ãçºçããªããŠãŸããŽããŽã¡ãLv.29äºä»¶ã¯èµ·ããªã; fact3 & assump1 -> int1: å ãé£ããšããããšãçºçãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã·ãã·ãLv.27äºä»¶ã¯çããªãããŽããŽã¡ãLv.29äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} fact2: ¬(¬{AA} & ¬{AB}) -> ¬{A} fact3: (¬{AA} & ¬{AB}) -> {B} ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: (¬{AA} & ¬{AB}); fact3 & assump1 -> int1: {B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{AA} & ¬{AB}); int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ã·ãã·ã«ãLv.4äºä»¶ãèµ·ãã | {C} | fact1: ãçŒæããããšãçºçããããšããããšã¯æãç«ã€ fact2: ããä»®ã«çŒæããããšãçããã°ã·ã«ã·ãLv.90äºä»¶ã¯çºçãããç©è³ªåããããšã¯èµ·ãããªã fact3: ããããœããœã¡ãLv.44äºä»¶ãšåããèŸããšããããšãèµ·ããããšããããšã¯åœã§ãããšãããšåããèŸããšããããšã¯çããªã fact4: ç©è³ªåããããšã¯èµ·ããªã fact5: åããèŸããšããããšã¯ã·ã«ã·ãLv.90äºä»¶ããã£ããã fact6: ã·ãã·ã«ãLv.4äºä»¶ãåããèŸããšããããšã¯çºçãããšããããšã«ãããããã | fact1: {A} fact2: {A} -> ({AA} & ¬{AB}) fact3: ¬({E} & {B}) -> ¬{B} fact4: ¬{AB} fact5: {AA} -> {B} fact6: {B} -> {C} | [
"fact2 & fact1 -> int1: ã·ã«ã·ãLv.90äºä»¶ãèµ·ãããã©ç©è³ªåããããšã¯çããªã; int1 -> int2: ãã·ã«ã·ãLv.90äºä»¶ã¯èµ·ããªãããšããããšã¯çå®ã§ãªã; int2 & fact5 -> int3: åããèŸããšããããšãèµ·ãã; int3 & fact6 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: ({AA} & ¬{AB}); int1 -> int2: {AA}; int2 & fact5 -> int3: {B}; int3 & fact6 -> hypothesis;"
] | ã·ãã·ã«ãLv.4äºä»¶ã¯çºçããªã | ¬{C} | [] | 6 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãçŒæããããšãçºçããããšããããšã¯æãç«ã€ fact2: ããä»®ã«çŒæããããšãçããã°ã·ã«ã·ãLv.90äºä»¶ã¯çºçãããç©è³ªåããããšã¯èµ·ãããªã fact3: ããããœããœã¡ãLv.44äºä»¶ãšåããèŸããšããããšãèµ·ããããšããããšã¯åœã§ãããšãããšåããèŸããšããããšã¯çããªã fact4: ç©è³ªåããããšã¯èµ·ããªã fact5: åããèŸããšããããšã¯ã·ã«ã·ãLv.90äºä»¶ããã£ããã fact6: ã·ãã·ã«ãLv.4äºä»¶ãåããèŸããšããããšã¯çºçãããšããããšã«ãããããã ; $hypothesis$ = ã·ãã·ã«ãLv.4äºä»¶ãèµ·ãã ; $proof$ = | fact2 & fact1 -> int1: ã·ã«ã·ãLv.90äºä»¶ãèµ·ãããã©ç©è³ªåããããšã¯çããªã; int1 -> int2: ãã·ã«ã·ãLv.90äºä»¶ã¯èµ·ããªãããšããããšã¯çå®ã§ãªã; int2 & fact5 -> int3: åããèŸããšããããšãèµ·ãã; int3 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {A} -> ({AA} & ¬{AB}) fact3: ¬({E} & {B}) -> ¬{B} fact4: ¬{AB} fact5: {AA} -> {B} fact6: {B} -> {C} ; $hypothesis$ = {C} ; $proof$ = | fact2 & fact1 -> int1: ({AA} & ¬{AB}); int1 -> int2: {AA}; int2 & fact5 -> int3: {B}; int3 & fact6 -> hypothesis; __PROVED__ |
0.3 | ã·ãã·ã«ã
Lv.27äºä»¶ãçºçãã | {E} | fact1: 極ãŸããªããšããããšã¯èµ·ããªã fact2: ãœãªãœã¡ãLv.58äºä»¶ãèµ·ãããšããããšããããã¯ããããLv.46äºä»¶ããããã¯ã©ã¡ããã¯ã·ãã·ã«ã
Lv.27äºä»¶ãåé¿ãã fact3: ãã極ãŸããªããšããããšãèµ·ãããšããã°ãããããLv.46äºä»¶ãèµ·ãããã©ã·ãã·ã«ã
Lv.27äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãã fact4: ãœãªãœã¡ãLv.58äºä»¶ã¯èµ·ããªããšããããšã¯èžã¿äžããããšã«é»ãŸãã fact5: ã·ã«ã·ã¡ãLv.78äºä»¶ã¯èµ·ãããªããšããããšã¯èžã¿äžããããšã«é²ããã fact6: ã極ãŸããªããšããããšã¯èµ·ããªãããšããããšã¯ãèžã¿äžããããšã埡匷ããšããããšããããã¯ã©ã¡ãããçããããšããããšãåŒãèµ·ãã fact7: 埡匷ããšããããšã¯ãœãªãœã¡ãLv.58äºä»¶ã¯çºçããªããšããããšãåé¿ãã | fact1: ¬{F} fact2: ({C} v {D}) -> ¬{E} fact3: {F} -> ¬({D} & ¬{E}) fact4: {A} -> {C} fact5: {A} -> {EB} fact6: ¬{F} -> ({A} v {B}) fact7: {B} -> {C} | [
"fact1 & fact6 -> int1: èžã¿äžããããšãçºçããããããã¯åŸ¡åŒ·ããšããããšãèµ·ãã; int1 & fact4 & fact7 -> int2: ãœãªãœã¡ãLv.58äºä»¶ãçºçãã; int2 -> int3: ãœãªãœã¡ãLv.58äºä»¶ãçããããããã¯ããããLv.46äºä»¶ãçããããããã¯äž¡æ¹ã ; int3 & fact2 -> hypothesis;"
] | [
"fact1 & fact6 -> int1: ({A} v {B}); int1 & fact4 & fact7 -> int2: {C}; int2 -> int3: ({C} v {D}); int3 & fact2 -> hypothesis;"
] | åæ ããæããšããããšãçºçãããã·ã«ã·ã¡ãLv.78äºä»¶ãèµ·ããããããã¯äž¡æ¹ãšãã§ãã | ({CO} v {EB}) | [] | 7 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: 極ãŸããªããšããããšã¯èµ·ããªã fact2: ãœãªãœã¡ãLv.58äºä»¶ãèµ·ãããšããããšããããã¯ããããLv.46äºä»¶ããããã¯ã©ã¡ããã¯ã·ãã·ã«ã
Lv.27äºä»¶ãåé¿ãã fact3: ãã極ãŸããªããšããããšãèµ·ãããšããã°ãããããLv.46äºä»¶ãèµ·ãããã©ã·ãã·ã«ã
Lv.27äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãã fact4: ãœãªãœã¡ãLv.58äºä»¶ã¯èµ·ããªããšããããšã¯èžã¿äžããããšã«é»ãŸãã fact5: ã·ã«ã·ã¡ãLv.78äºä»¶ã¯èµ·ãããªããšããããšã¯èžã¿äžããããšã«é²ããã fact6: ã極ãŸããªããšããããšã¯èµ·ããªãããšããããšã¯ãèžã¿äžããããšã埡匷ããšããããšããããã¯ã©ã¡ãããçããããšããããšãåŒãèµ·ãã fact7: 埡匷ããšããããšã¯ãœãªãœã¡ãLv.58äºä»¶ã¯çºçããªããšããããšãåé¿ãã ; $hypothesis$ = ã·ãã·ã«ã
Lv.27äºä»¶ãçºçãã ; $proof$ = | fact1 & fact6 -> int1: èžã¿äžããããšãçºçããããããã¯åŸ¡åŒ·ããšããããšãèµ·ãã; int1 & fact4 & fact7 -> int2: ãœãªãœã¡ãLv.58äºä»¶ãçºçãã; int2 -> int3: ãœãªãœã¡ãLv.58äºä»¶ãçããããããã¯ããããLv.46äºä»¶ãçããããããã¯äž¡æ¹ã ; int3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{F} fact2: ({C} v {D}) -> ¬{E} fact3: {F} -> ¬({D} & ¬{E}) fact4: {A} -> {C} fact5: {A} -> {EB} fact6: ¬{F} -> ({A} v {B}) fact7: {B} -> {C} ; $hypothesis$ = {E} ; $proof$ = | fact1 & fact6 -> int1: ({A} v {B}); int1 & fact4 & fact7 -> int2: {C}; int2 -> int3: ({C} v {D}); int3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ãŽãLv.47ã¯åŸ¡æ¿ã | {F}{d} | fact1: ä»®ã«ãã®ã·ãã·ãLv.56ãäžããé£ããå ããŠç¶Žããšããã°ãã®ãŽã®ãŽã¡ã
Lv.17ã¯å
¥å±
ããªã fact2: ä»®ã«ãã®ãŽã®ãŽã¡ã
Lv.17ãå
¥å±
ãããšããããšã¯ãªããªãã°ãã®ãŸã«ããŸãªLv.9ã¯åé²ããªããŠå
¥å±
ããªã fact3: ãã®ã·ãã·ãLv.56ã¯äžããé£ã fact4: ãã®ã·ãã·ãLv.56ã¯åã
ãããæŽã«ç¶Žã fact5: ãããã®ãŽã®ãŽã¡ã
Lv.17ãå
¥å±
ããªããšããããã®ãŸã«ããŸãªLv.9ã¯å
¥å±
ããªã | fact1: ({C}{a} & {B}{a}) -> ¬{D}{b} fact2: ¬{D}{b} -> (¬{E}{c} & ¬{D}{c}) fact3: {C}{a} fact4: ({A}{a} & {B}{a}) fact5: ¬{D}{b} -> ¬{D}{c} | [
"fact4 -> int1: ãã®ã·ãã·ãLv.56ã¯ç¶Žã; int1 & fact3 -> int2: ãã®ã·ãã·ãLv.56ã¯äžããé£ããŠãŸã綎ã; int2 & fact1 -> int3: ãã®ãŽã®ãŽã¡ã
Lv.17ã¯å
¥å±
ããªã; int3 & fact2 -> int4: ãã®ãŸã«ããŸãªLv.9ã¯åé²ããªããå
¥å±
ãããšããããšã¯ãªã;"
] | [
"fact4 -> int1: {B}{a}; int1 & fact3 -> int2: ({C}{a} & {B}{a}); int2 & fact1 -> int3: ¬{D}{b}; int3 & fact2 -> int4: (¬{E}{c} & ¬{D}{c});"
] | null | null | [] | null | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ã·ãã·ãLv.56ãäžããé£ããå ããŠç¶Žããšããã°ãã®ãŽã®ãŽã¡ã
Lv.17ã¯å
¥å±
ããªã fact2: ä»®ã«ãã®ãŽã®ãŽã¡ã
Lv.17ãå
¥å±
ãããšããããšã¯ãªããªãã°ãã®ãŸã«ããŸãªLv.9ã¯åé²ããªããŠå
¥å±
ããªã fact3: ãã®ã·ãã·ãLv.56ã¯äžããé£ã fact4: ãã®ã·ãã·ãLv.56ã¯åã
ãããæŽã«ç¶Žã fact5: ãããã®ãŽã®ãŽã¡ã
Lv.17ãå
¥å±
ããªããšããããã®ãŸã«ããŸãªLv.9ã¯å
¥å±
ããªã ; $hypothesis$ = ãã®ãŽã«ãŽãLv.47ã¯åŸ¡æ¿ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({C}{a} & {B}{a}) -> ¬{D}{b} fact2: ¬{D}{b} -> (¬{E}{c} & ¬{D}{c}) fact3: {C}{a} fact4: ({A}{a} & {B}{a}) fact5: ¬{D}{b} -> ¬{D}{c} ; $hypothesis$ = {F}{d} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŽããŽãLv.35äºä»¶ãèµ·ãã | {C} | fact1: ããä»®ã«ç®ãŸãããããšããããšããããã¯å¿æããšããããšããããã¯äž¡æ¹ãçºçããã°ãŽããŽãLv.35äºä»¶ã¯èµ·ãããªã fact2: ããä»®ã«ãã·ã«ãã·ãLv.88äºä»¶ã¯èµ·ããªãããšããããšã¯ç¢ºãã ãšããã°ããœããœã¡ã
Lv.68äºä»¶ãèµ·ããããã€ãŽããŽãLv.35äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã fact3: ç®ãŸãããããšããããšã¯ããŽããŽãLv.35äºä»¶ã¯èµ·ããªãããšããããšã«åž°çµãã fact4: ç²ãæããšããããšã¯çºçããªããªãã°ã·ã«ãã·ãLv.88äºä»¶ã¯èµ·ãããªããæãã£ãœããšããããšã¯èµ·ãããªã | fact1: ({A} v {B}) -> ¬{C} fact2: ¬{E} -> ¬({D} & {C}) fact3: {A} -> ¬{C} fact4: ¬{H} -> (¬{E} & ¬{G}) | [] | [] | ç¥ã
ãããšããããšãçºçãã | {F} | [] | 7 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ç®ãŸãããããšããããšããããã¯å¿æããšããããšããããã¯äž¡æ¹ãçºçããã°ãŽããŽãLv.35äºä»¶ã¯èµ·ãããªã fact2: ããä»®ã«ãã·ã«ãã·ãLv.88äºä»¶ã¯èµ·ããªãããšããããšã¯ç¢ºãã ãšããã°ããœããœã¡ã
Lv.68äºä»¶ãèµ·ããããã€ãŽããŽãLv.35äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã fact3: ç®ãŸãããããšããããšã¯ããŽããŽãLv.35äºä»¶ã¯èµ·ããªãããšããããšã«åž°çµãã fact4: ç²ãæããšããããšã¯çºçããªããªãã°ã·ã«ãã·ãLv.88äºä»¶ã¯èµ·ãããªããæãã£ãœããšããããšã¯èµ·ãããªã ; $hypothesis$ = ãŽããŽãLv.35äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} v {B}) -> ¬{C} fact2: ¬{E} -> ¬({D} & {C}) fact3: {A} -> ¬{C} fact4: ¬{H} -> (¬{E} & ¬{G}) ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãŸã¡ã
ãŸã¡ãLv.89ã¯å€§äººã | {A}{a} | fact1: ããä»®ã«ãã®ãŸã¡ã
ãŸã¡ãLv.89ã倧人ããæŽã«å¿ å®å¿ å®ãããªããã®ãœããœãLv.83ã¯æããªã fact2: ãã®ãœããœãLv.83ã¯æã fact3: ãã®ãŸã¡ã
ãŸã¡ãLv.89ã¯å¿ å®å¿ å®ãã | fact1: ({A}{a} & {B}{a}) -> ¬{C}{b} fact2: {C}{b} fact3: {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã¡ã
ãŸã¡ãLv.89ã¯å€§äººã; assump1 & fact3 -> int1: ãã®ãŸã¡ã
ãŸã¡ãLv.89ã¯å€§äººããå¿ å®å¿ å®ãã; int1 & fact1 -> int2: ãã®ãœããœãLv.83ã¯æããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; assump1 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact1 -> int2: ¬{C}{b}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ãã®ãŸã¡ã
ãŸã¡ãLv.89ã倧人ããæŽã«å¿ å®å¿ å®ãããªããã®ãœããœãLv.83ã¯æããªã fact2: ãã®ãœããœãLv.83ã¯æã fact3: ãã®ãŸã¡ã
ãŸã¡ãLv.89ã¯å¿ å®å¿ å®ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãŸã¡ã
ãŸã¡ãLv.89ã¯å€§äººã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã¡ã
ãŸã¡ãLv.89ã¯å€§äººã; assump1 & fact3 -> int1: ãã®ãŸã¡ã
ãŸã¡ãLv.89ã¯å€§äººããå¿ å®å¿ å®ãã; int1 & fact1 -> int2: ãã®ãœããœãLv.83ã¯æããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) -> ¬{C}{b} fact2: {C}{b} fact3: {B}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: {A}{a}; assump1 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact1 -> int2: ¬{C}{b}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã¡ã
ãœã¡ã
Lv.49ã¯éãæã | {F}{b} | fact1: ãããã®ã¿ãã¿ãªLv.43ã¯é»ããšããããšã¯ãªããªãã°ããã®ãœã¡ã
ãœã¡ã
Lv.49ã¯é»ããããŸãã«æ»ãåãããããšããããšã¯èª€ã£ãŠãã fact2: ãã®ã¿ãã¿ãªLv.43ã¯é
žã£ã±ã fact3: ãã®ã¿ãã¿ãªLv.43ã¯æ·±ããŠæŽã«èãã fact4: ããããã®ã¿ãã¿ãªLv.43ãé
žã£ã±ãããã€æ·±ããªããã®ã¿ãã¿ãªLv.43ã¯é»ããªã fact5: ããã®ãœã¡ã
ãœã¡ã
Lv.49ã¯é»ãããã€ããã¯æ»ãåãããããšããããšã¯æãç«ããªããšããã°ãéãæããªãããšããããšã¯äºå®ã | fact1: ¬{D}{a} -> ¬({D}{b} & {E}{b}) fact2: {C}{a} fact3: ({A}{a} & {B}{a}) fact4: ({C}{a} & {A}{a}) -> ¬{D}{a} fact5: ¬({D}{b} & {E}{b}) -> ¬{F}{b} | [
"fact3 -> int1: ããã®ã¿ãã¿ãªLv.43ã¯æ·±ãããšããããšã¯çå®ã§ãã; int1 & fact2 -> int2: ãã®ã¿ãã¿ãªLv.43ã¯é
žã£ã±ããŠããã«ããã¯æ·±ã; int2 & fact4 -> int3: ãã®ã¿ãã¿ãªLv.43ã¯é»ããªã; int3 & fact1 -> int4: ãããã®ãœã¡ã
ãœã¡ã
Lv.49ã¯é»ããããã«æ»ãåãããããšããããšã¯èª€ãã ããšããããšã¯ç¢ºãã§ãã; int4 & fact5 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact2 -> int2: ({C}{a} & {A}{a}); int2 & fact4 -> int3: ¬{D}{a}; int3 & fact1 -> int4: ¬({D}{b} & {E}{b}); int4 & fact5 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã®ã¿ãã¿ãªLv.43ã¯é»ããšããããšã¯ãªããªãã°ããã®ãœã¡ã
ãœã¡ã
Lv.49ã¯é»ããããŸãã«æ»ãåãããããšããããšã¯èª€ã£ãŠãã fact2: ãã®ã¿ãã¿ãªLv.43ã¯é
žã£ã±ã fact3: ãã®ã¿ãã¿ãªLv.43ã¯æ·±ããŠæŽã«èãã fact4: ããããã®ã¿ãã¿ãªLv.43ãé
žã£ã±ãããã€æ·±ããªããã®ã¿ãã¿ãªLv.43ã¯é»ããªã fact5: ããã®ãœã¡ã
ãœã¡ã
Lv.49ã¯é»ãããã€ããã¯æ»ãåãããããšããããšã¯æãç«ããªããšããã°ãéãæããªãããšããããšã¯äºå®ã ; $hypothesis$ = ãã®ãœã¡ã
ãœã¡ã
Lv.49ã¯éãæã ; $proof$ = | fact3 -> int1: ããã®ã¿ãã¿ãªLv.43ã¯æ·±ãããšããããšã¯çå®ã§ãã; int1 & fact2 -> int2: ãã®ã¿ãã¿ãªLv.43ã¯é
žã£ã±ããŠããã«ããã¯æ·±ã; int2 & fact4 -> int3: ãã®ã¿ãã¿ãªLv.43ã¯é»ããªã; int3 & fact1 -> int4: ãããã®ãœã¡ã
ãœã¡ã
Lv.49ã¯é»ããããã«æ»ãåãããããšããããšã¯èª€ãã ããšããããšã¯ç¢ºãã§ãã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{D}{a} -> ¬({D}{b} & {E}{b}) fact2: {C}{a} fact3: ({A}{a} & {B}{a}) fact4: ({C}{a} & {A}{a}) -> ¬{D}{a} fact5: ¬({D}{b} & {E}{b}) -> ¬{F}{b} ; $hypothesis$ = {F}{b} ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact2 -> int2: ({C}{a} & {A}{a}); int2 & fact4 -> int3: ¬{D}{a}; int3 & fact1 -> int4: ¬({D}{b} & {E}{b}); int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã¡ãããªLv.89ã¯é¿åããããªãããããèã
ãã | (¬{A}{b} & {C}{b}) | fact1: ãããã®ã·ã«ãã·ãLv.20ã¯é¿åããããšãããšããã®ãã¡ãããªLv.89ã¯é¿åããããããã«ããã¯èã
ããããšããããšã¯ééãã§ãã fact2: ãã®ã·ã«ãã·ãLv.20ã¯åãé¢ãé£ã fact3: ããã®ãã¡ãããªLv.89ã¯é¿åããããããã«èã
ããããšããããšã¯äºå®ãšç°ãªã fact4: ãã®ã·ã«ãã·ãLv.20ã¯é¿åããããããã«åãé¢ãé£ã fact5: ä»®ã«ãã®ã·ã«ãã·ãLv.20ã¯é¿åããããšããããããã®ãã¡ãããªLv.89ã¯é¿åããããªããã©èã
ããããšããããšã¯æãç«ã€ããšããããšã¯èª€ãã | fact1: {A}{a} -> ¬({A}{b} & {C}{b}) fact2: {B}{a} fact3: ¬({A}{b} & {C}{b}) fact4: ({A}{a} & {B}{a}) fact5: {A}{a} -> ¬(¬{A}{b} & {C}{b}) | [
"fact4 -> int1: ãã®ã·ã«ãã·ãLv.20ã¯é¿åããã; int1 & fact5 -> hypothesis;"
] | [
"fact4 -> int1: {A}{a}; int1 & fact5 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã®ã·ã«ãã·ãLv.20ã¯é¿åããããšãããšããã®ãã¡ãããªLv.89ã¯é¿åããããããã«ããã¯èã
ããããšããããšã¯ééãã§ãã fact2: ãã®ã·ã«ãã·ãLv.20ã¯åãé¢ãé£ã fact3: ããã®ãã¡ãããªLv.89ã¯é¿åããããããã«èã
ããããšããããšã¯äºå®ãšç°ãªã fact4: ãã®ã·ã«ãã·ãLv.20ã¯é¿åããããããã«åãé¢ãé£ã fact5: ä»®ã«ãã®ã·ã«ãã·ãLv.20ã¯é¿åããããšããããããã®ãã¡ãããªLv.89ã¯é¿åããããªããã©èã
ããããšããããšã¯æãç«ã€ããšããããšã¯èª€ãã ; $hypothesis$ = ãã®ãã¡ãããªLv.89ã¯é¿åããããªãããããèã
ãã ; $proof$ = | fact4 -> int1: ãã®ã·ã«ãã·ãLv.20ã¯é¿åããã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> ¬({A}{b} & {C}{b}) fact2: {B}{a} fact3: ¬({A}{b} & {C}{b}) fact4: ({A}{a} & {B}{a}) fact5: {A}{a} -> ¬(¬{A}{b} & {C}{b}) ; $hypothesis$ = (¬{A}{b} & {C}{b}) ; $proof$ = | fact4 -> int1: {A}{a}; int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã«ãŸã¡ãLv.70ã¯æ··æãããšããããšã¯ãªã | ¬{B}{aa} | fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ²ããªããããŸãã«å人ããããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããããã¯æ··æããªã fact2: ããä»®ã«ãã®ãŸã«ãŸã¡ãLv.70ãæ²ããªããã®ãŸã«ãŸã¡ãLv.70ã¯æ··æããªã fact3: ããã®ãŸã«ãŸã¡ãLv.70ã¯æ²ãäžæ¹ã§å人ããããªãããšããããšã¯æãç«ããªã fact4: æ²ãã¢ã³ã¹ã¿ãŒã¯æ··æããªã fact5: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯éãæããªããããŸãã«ããã¯æ²ããªãããšããããšã¯åã ãšãããå£æãããªã | fact1: (x): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x fact2: {AA}{aa} -> ¬{B}{aa} fact3: ¬({AA}{aa} & ¬{AB}{aa}) fact4: (x): {AA}x -> ¬{B}x fact5: (x): ¬(¬{AU}x & ¬{AA}x) -> ¬{BJ}x | [
"fact1 -> int1: ããä»®ã«ãããã®ãŸã«ãŸã¡ãLv.70ã¯æ²ããªãããã€ããã¯å人ããããšããããšã¯ãªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªããªããã®ãŸã«ãŸã¡ãLv.70ã¯æ··æãããšããããšã¯ãªã;"
] | [
"fact1 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa};"
] | ä»®ã«ããã®ãŽããŽã«Lv.14ã¯éãæããšããããšã¯ãªããŠããã«æ²ããªãããšããããšã¯åãªããã®ãŽããŽã«Lv.14ã¯å£æãããªã | ¬(¬{AU}{bp} & ¬{AA}{bp}) -> ¬{BJ}{bp} | [
"fact6 -> hypothesis;"
] | 1 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ²ããªããããŸãã«å人ããããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããããã¯æ··æããªã fact2: ããä»®ã«ãã®ãŸã«ãŸã¡ãLv.70ãæ²ããªããã®ãŸã«ãŸã¡ãLv.70ã¯æ··æããªã fact3: ããã®ãŸã«ãŸã¡ãLv.70ã¯æ²ãäžæ¹ã§å人ããããªãããšããããšã¯æãç«ããªã fact4: æ²ãã¢ã³ã¹ã¿ãŒã¯æ··æããªã fact5: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯éãæããªããããŸãã«ããã¯æ²ããªãããšããããšã¯åã ãšãããå£æãããªã ; $hypothesis$ = ãã®ãŸã«ãŸã¡ãLv.70ã¯æ··æãããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x fact2: {AA}{aa} -> ¬{B}{aa} fact3: ¬({AA}{aa} & ¬{AB}{aa}) fact4: (x): {AA}x -> ¬{B}x fact5: (x): ¬(¬{AU}x & ¬{AA}x) -> ¬{BJ}x ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã¡ãLv.3ã¯èãèŸããªã | ¬{D}{a} | fact1: ãããã®ã¿ãã¿ã¡ãLv.3ãæããšãããããã¯èãèŸã fact2: ããä»®ã«ããã®ãŸããŸãLv.29ã¯æ¬²ããããããã¯ããã¯æããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°ãã®ãœããœã«ãLv.75ã¯æ°æ¥ãããããšããããšã¯ãªã fact3: æ°æ¥ããããã¢ã³ã¹ã¿ãŒã¯å€§å·®ç¡ã fact4: ãã®ã¿ãã¿ã¡ãLv.3ã¯æ°æ¥ãããã fact5: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã欲ãããªããã©æããšããã°ãã®ãããã«ã
Lv.72ã¯æããªã fact6: ä»®ã«ããã®ã·ãã·ãLv.45ã¯æãããšããããšã¯ç¢ºããªããé·å±
ããããšããããšã¯æãç«ã€ fact7: ãããã®ã¿ãã¿ã¡ãLv.3ã倧差ç¡ããšãããšãã®ã¿ãã¿ã¡ãLv.3ã¯æã fact8: ãããã®ãœããœã«ãLv.75ãæ°æ¥ãããããªãããããèãèŸããªããªããã®ã¿ãã¿ã¡ãLv.3ã¯èãèŸããšããããšã¯ãªã | fact1: {C}{a} -> {D}{a} fact2: ¬({E}{d} v ¬{C}{d}) -> ¬{A}{b} fact3: (x): {A}x -> {B}x fact4: {A}{a} fact5: (x): (¬{E}x & {C}x) -> ¬{C}{au} fact6: {C}{ic} -> {GU}{ic} fact7: {B}{a} -> {C}{a} fact8: (¬{A}{b} & ¬{D}{b}) -> ¬{D}{a} | [
"fact3 -> int1: ããä»®ã«ãã®ã¿ãã¿ã¡ãLv.3ãæ°æ¥ãããããªãã°å€§å·®ç¡ã; int1 & fact4 -> int2: ãã®ã¿ãã¿ã¡ãLv.3ã¯å€§å·®ç¡ã; int2 & fact7 -> int3: ãã®ã¿ãã¿ã¡ãLv.3ã¯æã; int3 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a} -> {B}{a}; int1 & fact4 -> int2: {B}{a}; int2 & fact7 -> int3: {C}{a}; int3 & fact1 -> hypothesis;"
] | ãã®ãããã«ã
Lv.72ã¯å€§å·®ç¡ã | {B}{au} | [] | 5 | 4 | 4 | 4 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ã¿ãã¿ã¡ãLv.3ãæããšãããããã¯èãèŸã fact2: ããä»®ã«ããã®ãŸããŸãLv.29ã¯æ¬²ããããããã¯ããã¯æããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°ãã®ãœããœã«ãLv.75ã¯æ°æ¥ãããããšããããšã¯ãªã fact3: æ°æ¥ããããã¢ã³ã¹ã¿ãŒã¯å€§å·®ç¡ã fact4: ãã®ã¿ãã¿ã¡ãLv.3ã¯æ°æ¥ãããã fact5: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã欲ãããªããã©æããšããã°ãã®ãããã«ã
Lv.72ã¯æããªã fact6: ä»®ã«ããã®ã·ãã·ãLv.45ã¯æãããšããããšã¯ç¢ºããªããé·å±
ããããšããããšã¯æãç«ã€ fact7: ãããã®ã¿ãã¿ã¡ãLv.3ã倧差ç¡ããšãããšãã®ã¿ãã¿ã¡ãLv.3ã¯æã fact8: ãããã®ãœããœã«ãLv.75ãæ°æ¥ãããããªãããããèãèŸããªããªããã®ã¿ãã¿ã¡ãLv.3ã¯èãèŸããšããããšã¯ãªã ; $hypothesis$ = ãã®ã¿ãã¿ã¡ãLv.3ã¯èãèŸããªã ; $proof$ = | fact3 -> int1: ããä»®ã«ãã®ã¿ãã¿ã¡ãLv.3ãæ°æ¥ãããããªãã°å€§å·®ç¡ã; int1 & fact4 -> int2: ãã®ã¿ãã¿ã¡ãLv.3ã¯å€§å·®ç¡ã; int2 & fact7 -> int3: ãã®ã¿ãã¿ã¡ãLv.3ã¯æã; int3 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} -> {D}{a} fact2: ¬({E}{d} v ¬{C}{d}) -> ¬{A}{b} fact3: (x): {A}x -> {B}x fact4: {A}{a} fact5: (x): (¬{E}x & {C}x) -> ¬{C}{au} fact6: {C}{ic} -> {GU}{ic} fact7: {B}{a} -> {C}{a} fact8: (¬{A}{b} & ¬{D}{b}) -> ¬{D}{a} ; $hypothesis$ = ¬{D}{a} ; $proof$ = | fact3 -> int1: {A}{a} -> {B}{a}; int1 & fact4 -> int2: {B}{a}; int2 & fact7 -> int3: {C}{a}; int3 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããããæã£ãåãã°ãçŽåŸãæããªãäžæ¹ã§å¹²ãäžããããšããããšã¯ééã£ãŠãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬((Ex): {A}x -> ¬(¬{AA}x & {AB}x)) | fact1: ãããããã®ãã«ã
ãã«Lv.62ã¯æã£ãåãããšããããšã¯æ£ãããšãããããã®ãã«ã
ãã«Lv.62ã¯çŽåŸãæããå¹²ãäžããããšããããšã¯åœã§ãã fact2: ãã®ãã«ã
ãã«Lv.62ã¯æã£ãåããšããã°ãããã¯çŽåŸãæããªããŠããã«ããã¯å¹²ãäžããããšããããšã¯åœã§ãã | fact1: {A}{aa} -> ¬({AA}{aa} & {AB}{aa}) fact2: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããããã®ãã«ã
ãã«Lv.62ã¯æã£ãåãããšããããšã¯æ£ãããšãããããã®ãã«ã
ãã«Lv.62ã¯çŽåŸãæããå¹²ãäžããããšããããšã¯åœã§ãã fact2: ãã®ãã«ã
ãã«Lv.62ã¯æã£ãåããšããã°ãããã¯çŽåŸãæããªããŠããã«ããã¯å¹²ãäžããããšããããšã¯åœã§ãã ; $hypothesis$ = ããããæã£ãåãã°ãçŽåŸãæããªãäžæ¹ã§å¹²ãäžããããšããããšã¯ééã£ãŠãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{aa} -> ¬({AA}{aa} & {AB}{aa}) fact2: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) ; $hypothesis$ = ¬((Ex): {A}x -> ¬(¬{AA}x & {AB}x)) ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ããŽãªLv.67ã¯åœããé£ããªã | ¬{C}{b} | fact1: ãã®ãŽã¡ããŽãLv.38ã¯çãŸãããªã fact2: ãã®ãŽã«ããŽãªLv.67ã¯çãŸãããªã fact3: ãã®ãŽã«ããŽãªLv.67ã¯å€ªããªã fact4: ãã®ãŽã¡ããŽãLv.38ãçãŸãããªãäžæ¹ã§å€ªããšãããšãã®ãŽã«ããŽãªLv.67ã¯åœããé£ããšããããšã¯ãªã fact5: ãã®ãŸã«ããŸã¡ã
Lv.78ã¯æ¢ãç¡ããªããé¢ãé£ã fact6: ãã®ãŽã¡ããŽãLv.38ã¯å€ªã | fact1: ¬{A}{a} fact2: ¬{A}{b} fact3: ¬{B}{b} fact4: (¬{A}{a} & {B}{a}) -> ¬{C}{b} fact5: (¬{FT}{jj} & {HT}{jj}) fact6: {B}{a} | [
"fact1 & fact6 -> int1: ãã®ãŽã¡ããŽãLv.38ã¯çãŸãããªãã倪ã; int1 & fact4 -> hypothesis;"
] | [
"fact1 & fact6 -> int1: (¬{A}{a} & {B}{a}); int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽã¡ããŽãLv.38ã¯çãŸãããªã fact2: ãã®ãŽã«ããŽãªLv.67ã¯çãŸãããªã fact3: ãã®ãŽã«ããŽãªLv.67ã¯å€ªããªã fact4: ãã®ãŽã¡ããŽãLv.38ãçãŸãããªãäžæ¹ã§å€ªããšãããšãã®ãŽã«ããŽãªLv.67ã¯åœããé£ããšããããšã¯ãªã fact5: ãã®ãŸã«ããŸã¡ã
Lv.78ã¯æ¢ãç¡ããªããé¢ãé£ã fact6: ãã®ãŽã¡ããŽãLv.38ã¯å€ªã ; $hypothesis$ = ãã®ãŽã«ããŽãªLv.67ã¯åœããé£ããªã ; $proof$ = | fact1 & fact6 -> int1: ãã®ãŽã¡ããŽãLv.38ã¯çãŸãããªãã倪ã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} fact2: ¬{A}{b} fact3: ¬{B}{b} fact4: (¬{A}{a} & {B}{a}) -> ¬{C}{b} fact5: (¬{FT}{jj} & {HT}{jj}) fact6: {B}{a} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact1 & fact6 -> int1: (¬{A}{a} & {B}{a}); int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœã¡ã
Lv.9ã¯æªãããªã | ¬{E}{c} | fact1: ãã®ãŸã«ã
ãŸãLv.68ã¯æ»å»ãããæã£æ®ºã fact2: ã眹æ£ãããã¢ã³ã¹ã¿ãŒããããšããããã®ãœããœã¡ã
Lv.9ã¯æªãããªã fact3: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã眹æ£ããããããã¯ééç¡ããäž¡æ¹ãšãã§ãããšããããã®ãœããœã¡ã
Lv.9ã¯æªãããªã fact4: ããã®ãŸã«ã
ãŸãLv.68ã¯æã£æ®ºããªãããšããããšã¯åã§ãããšããã°ãã®ãŸã¡ããŸãªLv.75ã¯ééç¡ã | fact1: ({A}{a} & {B}{a}) fact2: (x): {D}x -> ¬{E}{c} fact3: (x): ({D}x v {C}x) -> ¬{E}{c} fact4: {B}{a} -> {C}{b} | [
"fact1 -> int1: ãã®ãŸã«ã
ãŸãLv.68ã¯æã£æ®ºã; int1 & fact4 -> int2: ãã®ãŸã¡ããŸãªLv.75ã¯ééç¡ã; int2 -> int3: ãã®ãŸã¡ããŸãªLv.75ã¯çœ¹æ£ããããããã¯ããã¯ééç¡ããäž¡æ¹ãšãã ; int3 -> int4: ã眹æ£ããããããã¯ééç¡ããã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{b}; int2 -> int3: ({D}{b} v {C}{b}); int3 -> int4: (Ex): ({D}x v {C}x); int4 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŸã«ã
ãŸãLv.68ã¯æ»å»ãããæã£æ®ºã fact2: ã眹æ£ãããã¢ã³ã¹ã¿ãŒããããšããããã®ãœããœã¡ã
Lv.9ã¯æªãããªã fact3: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã眹æ£ããããããã¯ééç¡ããäž¡æ¹ãšãã§ãããšããããã®ãœããœã¡ã
Lv.9ã¯æªãããªã fact4: ããã®ãŸã«ã
ãŸãLv.68ã¯æã£æ®ºããªãããšããããšã¯åã§ãããšããã°ãã®ãŸã¡ããŸãªLv.75ã¯ééç¡ã ; $hypothesis$ = ãã®ãœããœã¡ã
Lv.9ã¯æªãããªã ; $proof$ = | fact1 -> int1: ãã®ãŸã«ã
ãŸãLv.68ã¯æã£æ®ºã; int1 & fact4 -> int2: ãã®ãŸã¡ããŸãªLv.75ã¯ééç¡ã; int2 -> int3: ãã®ãŸã¡ããŸãªLv.75ã¯çœ¹æ£ããããããã¯ããã¯ééç¡ããäž¡æ¹ãšãã ; int3 -> int4: ã眹æ£ããããããã¯ééç¡ããã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: (x): {D}x -> ¬{E}{c} fact3: (x): ({D}x v {C}x) -> ¬{E}{c} fact4: {B}{a} -> {C}{b} ; $hypothesis$ = ¬{E}{c} ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{b}; int2 -> int3: ({D}{b} v {C}{b}); int3 -> int4: (Ex): ({D}x v {C}x); int4 & fact3 -> hypothesis; __PROVED__ |
0.3 | æ
æ²æ·±ããšããããšã¯èµ·ãããªã | ¬{A} | fact1: ãæ®æ»ããããšã¯èµ·ãããªãããšããããšã¯ãã·ã¡ãã·ãLv.66äºä»¶ã¯èµ·ãããªããŠãã€æ
æ²æ·±ããšããããšã¯èµ·ããªãããšããããšã«é»æ¢ããã fact2: ãããããã®Lv.84äºä»¶ãçºçãããšããããŸã®ãŸã¡ãLv.46äºä»¶ãèµ·ããããœã«ããœã¡ãLv.1äºä»¶ã¯çããªã fact3: ãã·ã¡ãã·ãLv.66äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã fact4: ãç»ãããšãçºçãããã©æ»ãé£ããšããããšã¯èµ·ããªãããšããããšã¯åã§ãã fact5: ç»ãããšãèµ·ããªããŠæ»ãé£ããšããããšã¯èµ·ããªããšãããæ
æ²æ·±ããšããããšã¯çºçãã fact6: ãœã«ããœã¡ãLv.1äºä»¶ãèµ·ãããšããããšã¯ãã·ã¡ãã·ãLv.66äºä»¶ã¯èµ·ããªããããŸãã«æ
æ²æ·±ããšããããšã¯èµ·ãããªãããšããããšãçºçããã fact7: ãããç»ãããšã¯çããªãããŸãæ»ãé£ããšããããšã¯çããªãããšããããšã¯æãç«ããªããšããã°ã·ã¡ãã·ãLv.66äºä»¶ã¯èµ·ããªã fact8: ä»®ã«ãããã®Lv.84äºä»¶ã¯èµ·ããªããšããã°ãœã«ããœã¡ãLv.1äºä»¶ãèµ·ããããŸã®ãŸã¡ãLv.46äºä»¶ãçãã | fact1: (¬{B} & ¬{A}) -> {F} fact2: {E} -> ({D} & ¬{C}) fact3: {B} fact4: ¬({AA} & ¬{AB}) fact5: (¬{AA} & ¬{AB}) -> {A} fact6: {C} -> (¬{B} & ¬{A}) fact7: ¬(¬{AA} & ¬{AB}) -> ¬{B} fact8: ¬{E} -> ({C} & {D}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããç»ãããšã¯çºçããªãããŸãæ»ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯äºå®ãšç°ãªã; fact7 & assump1 -> int1: ã·ã¡ãã·ãLv.66äºä»¶ã¯èµ·ãããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãç»ãããšã¯çããªããæŽã«æ»ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯ç¢ºãã ; int3 & fact5 -> hypothesis;"
] | [
"void -> assump1: ¬(¬{AA} & ¬{AB}); fact7 & assump1 -> int1: ¬{B}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA} & ¬{AB}); int3 & fact5 -> hypothesis;"
] | æ
æ²æ·±ããšããããšã¯èµ·ãããªã | ¬{A} | [] | 6 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãæ®æ»ããããšã¯èµ·ãããªãããšããããšã¯ãã·ã¡ãã·ãLv.66äºä»¶ã¯èµ·ãããªããŠãã€æ
æ²æ·±ããšããããšã¯èµ·ããªãããšããããšã«é»æ¢ããã fact2: ãããããã®Lv.84äºä»¶ãçºçãããšããããŸã®ãŸã¡ãLv.46äºä»¶ãèµ·ããããœã«ããœã¡ãLv.1äºä»¶ã¯çããªã fact3: ãã·ã¡ãã·ãLv.66äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã fact4: ãç»ãããšãçºçãããã©æ»ãé£ããšããããšã¯èµ·ããªãããšããããšã¯åã§ãã fact5: ç»ãããšãèµ·ããªããŠæ»ãé£ããšããããšã¯èµ·ããªããšãããæ
æ²æ·±ããšããããšã¯çºçãã fact6: ãœã«ããœã¡ãLv.1äºä»¶ãèµ·ãããšããããšã¯ãã·ã¡ãã·ãLv.66äºä»¶ã¯èµ·ããªããããŸãã«æ
æ²æ·±ããšããããšã¯èµ·ãããªãããšããããšãçºçããã fact7: ãããç»ãããšã¯çããªãããŸãæ»ãé£ããšããããšã¯çããªãããšããããšã¯æãç«ããªããšããã°ã·ã¡ãã·ãLv.66äºä»¶ã¯èµ·ããªã fact8: ä»®ã«ãããã®Lv.84äºä»¶ã¯èµ·ããªããšããã°ãœã«ããœã¡ãLv.1äºä»¶ãèµ·ããããŸã®ãŸã¡ãLv.46äºä»¶ãçãã ; $hypothesis$ = æ
æ²æ·±ããšããããšã¯èµ·ãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããç»ãããšã¯çºçããªãããŸãæ»ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯äºå®ãšç°ãªã; fact7 & assump1 -> int1: ã·ã¡ãã·ãLv.66äºä»¶ã¯èµ·ãããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãç»ãããšã¯çããªããæŽã«æ»ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯ç¢ºãã ; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{B} & ¬{A}) -> {F} fact2: {E} -> ({D} & ¬{C}) fact3: {B} fact4: ¬({AA} & ¬{AB}) fact5: (¬{AA} & ¬{AB}) -> {A} fact6: {C} -> (¬{B} & ¬{A}) fact7: ¬(¬{AA} & ¬{AB}) -> ¬{B} fact8: ¬{E} -> ({C} & {D}) ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: ¬(¬{AA} & ¬{AB}); fact7 & assump1 -> int1: ¬{B}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA} & ¬{AB}); int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãããã¡ã
Lv.67ã¯ã¿ã¿ã£ã¡ãããšããããšã¯æãç«ã€ | {C}{b} | fact1: ãã®ãŽããŽã¡ãLv.6ã¯è²§ã fact2: ä»®ã«ããã®ãŽããŽã¡ãLv.6ã¯è²§ãããšããããšã¯ç¢ºãã§ãããšããã°ãã®ãŽããŽãLv.71ã¯æ
ãŸãããªãããããè
«ããŒã£ãã fact3: ä»®ã«ãã®ãŽããŽã¡ãLv.6ã貧ããšããã°ãã®ãŽããŽãLv.71ã¯è
«ããŒã£ãã fact4: ãã®ãããã¡ã
Lv.67ã¯å»ã¿ã£ãœã fact5: ãã®ãŽããŽãLv.71ãæ
ãŸãããªããã©ãããè
«ããŒã£ãããªãã°ãã®ãããã¡ã
Lv.67ã¯çæž©ã fact6: ãããã®ãããã¡ã
Lv.67ãçæž©ããŠãã€ãããå»ã¿ã£ãœããªããã®ãããã¡ã
Lv.67ã¯ã¿ã¿ã£ã¡ããªã fact7: ãã®ãŽããŽãLv.71ã¯è
«ããŒã£ãã | fact1: {D}{c} fact2: {D}{c} -> (¬{AA}{a} & {AB}{a}) fact3: {D}{c} -> {AB}{a} fact4: {A}{b} fact5: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact6: ({B}{b} & {A}{b}) -> ¬{C}{b} fact7: {AB}{a} | [
"fact2 & fact1 -> int1: ããã®ãŽããŽãLv.71ã¯æ
ãŸãããªãããã©è
«ããŒã£ããããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªã; fact5 & int1 -> int2: ãã®ãããã¡ã
Lv.67ã¯çæž©ã; int2 & fact4 -> int3: ãã®ãããã¡ã
Lv.67ã¯çæž©ããŠããã«ããã¯å»ã¿ã£ãœã; int3 & fact6 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: (¬{AA}{a} & {AB}{a}); fact5 & int1 -> int2: {B}{b}; int2 & fact4 -> int3: ({B}{b} & {A}{b}); int3 & fact6 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŽããŽã¡ãLv.6ã¯è²§ã fact2: ä»®ã«ããã®ãŽããŽã¡ãLv.6ã¯è²§ãããšããããšã¯ç¢ºãã§ãããšããã°ãã®ãŽããŽãLv.71ã¯æ
ãŸãããªãããããè
«ããŒã£ãã fact3: ä»®ã«ãã®ãŽããŽã¡ãLv.6ã貧ããšããã°ãã®ãŽããŽãLv.71ã¯è
«ããŒã£ãã fact4: ãã®ãããã¡ã
Lv.67ã¯å»ã¿ã£ãœã fact5: ãã®ãŽããŽãLv.71ãæ
ãŸãããªããã©ãããè
«ããŒã£ãããªãã°ãã®ãããã¡ã
Lv.67ã¯çæž©ã fact6: ãããã®ãããã¡ã
Lv.67ãçæž©ããŠãã€ãããå»ã¿ã£ãœããªããã®ãããã¡ã
Lv.67ã¯ã¿ã¿ã£ã¡ããªã fact7: ãã®ãŽããŽãLv.71ã¯è
«ããŒã£ãã ; $hypothesis$ = ããã®ãããã¡ã
Lv.67ã¯ã¿ã¿ã£ã¡ãããšããããšã¯æãç«ã€ ; $proof$ = | fact2 & fact1 -> int1: ããã®ãŽããŽãLv.71ã¯æ
ãŸãããªãããã©è
«ããŒã£ããããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªã; fact5 & int1 -> int2: ãã®ãããã¡ã
Lv.67ã¯çæž©ã; int2 & fact4 -> int3: ãã®ãããã¡ã
Lv.67ã¯çæž©ããŠããã«ããã¯å»ã¿ã£ãœã; int3 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {D}{c} fact2: {D}{c} -> (¬{AA}{a} & {AB}{a}) fact3: {D}{c} -> {AB}{a} fact4: {A}{b} fact5: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact6: ({B}{b} & {A}{b}) -> ¬{C}{b} fact7: {AB}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact2 & fact1 -> int1: (¬{AA}{a} & {AB}{a}); fact5 & int1 -> int2: {B}{b}; int2 & fact4 -> int3: ({B}{b} & {A}{b}); int3 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã¡ããŸãªLv.81ã¯ããããããªã | ¬{B}{a} | fact1: ãã®ãŸã¡ããŸãªLv.81ã¯æªå®ãã fact2: ããããã®ãŸã¡ããŸãªLv.81ã¯æªå®ãããšããã°ãããã¯ããããããªãããšããããšã¯ééãã§ãã | fact1: {A}{a} fact2: {A}{a} -> {B}{a} | [
"fact1 -> int1: ãã®ãŸã¡ããŸãªLv.81ã¯æªå®ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŸã¡ããŸãªLv.81ã¯æªå®ãã fact2: ããããã®ãŸã¡ããŸãªLv.81ã¯æªå®ãããšããã°ãããã¯ããããããªãããšããããšã¯ééãã§ãã ; $hypothesis$ = ãã®ãŸã¡ããŸãªLv.81ã¯ããããããªã ; $proof$ = | fact1 -> int1: ãã®ãŸã¡ããŸãªLv.81ã¯æªå®ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {B}{a} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã¡ããã¡ã
Lv.20ã¯æéè¯ããªã | ¬{C}{aa} | fact1: ä»®ã«ãã®ãã¡ããã¡ã
Lv.20ãåãã¡é£ããªããšããã°ããã¯å ãé£ãããŸããªãã fact2: ããã®ãã¡ããã¡ã
Lv.20ã¯åœ¢æãæããåèµã»å±ç€ºããªãããšããããšã¯åœã§ãã fact3: ãããã¢ã³ã¹ã¿ãŒã¯åœ¢æãæãäžæ¹ã§åèµã»å±ç€ºããªãããšããããšã¯æãç«ããªããªãã°ãæãé£ãããšããããšã¯çå®ã fact4: ãããããã®ãã¡ããã¡ã
Lv.20ãããè¥ããšããããã®ãã¡ããã¡ã
Lv.20ã¯æéè¯ãããšããããšã¯æ¬åœã§ãã fact5: ããã¢ã³ã¹ã¿ãŒã¯ãªãããšããã°ãæãé£ããªãäžæ¹ã§ããè¥ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact6: ãã®ãŽããŽã¡ãLv.91ã¯æ»ã蟌ã fact7: ãã®ãŽããŽã¡ãLv.91ãæ»ã蟌ããšãããšæã | fact1: ¬{F}{aa} -> ({E}{aa} & {D}{aa}) fact2: ¬({AA}{aa} & ¬{AB}{aa}) fact3: (x): ¬({AA}x & ¬{AB}x) -> {B}x fact4: {A}{aa} -> {C}{aa} fact5: (x): {D}x -> ¬(¬{B}x & {A}x) fact6: {H}{a} fact7: {H}{a} -> {G}{a} | [
"fact3 -> int1: ããã®ãã¡ããã¡ã
Lv.20ã¯åœ¢æãæãäžæ¹ã§ããã¯åèµã»å±ç€ºããªãããšããããšã¯æãç«ããªããšããã°ããã¯æãé£ã; int1 & fact2 -> int2: ãã®ãã¡ããã¡ã
Lv.20ã¯æãé£ã;"
] | [
"fact3 -> int1: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact2 -> int2: {B}{aa};"
] | ãã®ãã¡ããã¡ã
Lv.20ã¯æéè¯ããªã | ¬{C}{aa} | [
"fact8 -> int3: ãã®ãã¡ããã¡ã
Lv.20ã¯ãªãããšãããããã®ãã¡ããã¡ã
Lv.20ã¯æãé£ããªããããè¥ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; fact11 & fact10 -> int4: ãã®ãŽããŽã¡ãLv.91ã¯æã; int4 -> int5: ãæããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãã¡ããã¡ã
Lv.20ãåãã¡é£ããªããšããã°ããã¯å ãé£ãããŸããªãã fact2: ããã®ãã¡ããã¡ã
Lv.20ã¯åœ¢æãæããåèµã»å±ç€ºããªãããšããããšã¯åœã§ãã fact3: ãããã¢ã³ã¹ã¿ãŒã¯åœ¢æãæãäžæ¹ã§åèµã»å±ç€ºããªãããšããããšã¯æãç«ããªããªãã°ãæãé£ãããšããããšã¯çå®ã fact4: ãããããã®ãã¡ããã¡ã
Lv.20ãããè¥ããšããããã®ãã¡ããã¡ã
Lv.20ã¯æéè¯ãããšããããšã¯æ¬åœã§ãã fact5: ããã¢ã³ã¹ã¿ãŒã¯ãªãããšããã°ãæãé£ããªãäžæ¹ã§ããè¥ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact6: ãã®ãŽããŽã¡ãLv.91ã¯æ»ã蟌ã fact7: ãã®ãŽããŽã¡ãLv.91ãæ»ã蟌ããšãããšæã ; $hypothesis$ = ãã®ãã¡ããã¡ã
Lv.20ã¯æéè¯ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{F}{aa} -> ({E}{aa} & {D}{aa}) fact2: ¬({AA}{aa} & ¬{AB}{aa}) fact3: (x): ¬({AA}x & ¬{AB}x) -> {B}x fact4: {A}{aa} -> {C}{aa} fact5: (x): {D}x -> ¬(¬{B}x & {A}x) fact6: {H}{a} fact7: {H}{a} -> {G}{a} ; $hypothesis$ = ¬{C}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã®Lv.7ã¯å¡åžããããã€æ
ãšããã | ({C}{b} & {D}{b}) | fact1: ããã®ãŽããŽã¡ãLv.64ã¯ã©åãããšããããšã¯æãç«ãŠã°ãã®ã¿ã«ãã¿ã«ã
Lv.87ã¯çãæã fact2: ãã®ã·ãã·ã®Lv.7ã¯æ
ãšããã fact3: ãããããã®ã¿ã«ãã¿ã«ã
Lv.87ã¯ããããããããšããããšã¯äºå®ãšç°ãªããªããšããããã®ã·ãã·ã®Lv.7ã¯å¡åžãã fact4: ãã®ãŽããŽã¡ãLv.64ã¯çãæãããŸãã¯ã©åã fact5: ããããã®ã¿ã«ãã¿ã«ã
Lv.87ãçãæããšããããã®ã¿ã«ãã¿ã«ã
Lv.87ã¯ãããããã fact6: ä»®ã«ããã®ãŽããŽã¡ãLv.64ã¯çãæãããšããããšã¯æ£ãããªããã®ã¿ã«ãã¿ã«ã
Lv.87ã¯çãæã | fact1: {E}{c} -> {A}{a} fact2: {D}{b} fact3: {B}{a} -> {C}{b} fact4: ({A}{c} v {E}{c}) fact5: {A}{a} -> {B}{a} fact6: {A}{c} -> {A}{a} | [
"fact1 & fact4 & fact6 -> int1: ãã®ã¿ã«ãã¿ã«ã
Lv.87ã¯çãæã; fact5 & int1 -> int2: ãã®ã¿ã«ãã¿ã«ã
Lv.87ã¯ãããããã; int2 & fact3 -> int3: ãã®ã·ãã·ã®Lv.7ã¯å¡åžãã; int3 & fact2 -> hypothesis;"
] | [
"fact1 & fact4 & fact6 -> int1: {A}{a}; fact5 & int1 -> int2: {B}{a}; int2 & fact3 -> int3: {C}{b}; int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ãŽããŽã¡ãLv.64ã¯ã©åãããšããããšã¯æãç«ãŠã°ãã®ã¿ã«ãã¿ã«ã
Lv.87ã¯çãæã fact2: ãã®ã·ãã·ã®Lv.7ã¯æ
ãšããã fact3: ãããããã®ã¿ã«ãã¿ã«ã
Lv.87ã¯ããããããããšããããšã¯äºå®ãšç°ãªããªããšããããã®ã·ãã·ã®Lv.7ã¯å¡åžãã fact4: ãã®ãŽããŽã¡ãLv.64ã¯çãæãããŸãã¯ã©åã fact5: ããããã®ã¿ã«ãã¿ã«ã
Lv.87ãçãæããšããããã®ã¿ã«ãã¿ã«ã
Lv.87ã¯ãããããã fact6: ä»®ã«ããã®ãŽããŽã¡ãLv.64ã¯çãæãããšããããšã¯æ£ãããªããã®ã¿ã«ãã¿ã«ã
Lv.87ã¯çãæã ; $hypothesis$ = ãã®ã·ãã·ã®Lv.7ã¯å¡åžããããã€æ
ãšããã ; $proof$ = | fact1 & fact4 & fact6 -> int1: ãã®ã¿ã«ãã¿ã«ã
Lv.87ã¯çãæã; fact5 & int1 -> int2: ãã®ã¿ã«ãã¿ã«ã
Lv.87ã¯ãããããã; int2 & fact3 -> int3: ãã®ã·ãã·ã®Lv.7ã¯å¡åžãã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {E}{c} -> {A}{a} fact2: {D}{b} fact3: {B}{a} -> {C}{b} fact4: ({A}{c} v {E}{c}) fact5: {A}{a} -> {B}{a} fact6: {A}{c} -> {A}{a} ; $hypothesis$ = ({C}{b} & {D}{b}) ; $proof$ = | fact1 & fact4 & fact6 -> int1: {A}{a}; fact5 & int1 -> int2: {B}{a}; int2 & fact3 -> int3: {C}{b}; int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | çžè«ãæããšããããšã¯èµ·ããªã | ¬{E} | fact1: ãæ°é«ããšããããšã¯çããªãããšããããšã¯æããšããããšãåé¿ãã fact2: ã·ãã·ã«ãLv.87äºä»¶ã¯èµ·ããªã fact3: ãçžè«ãæããšããããšã¯èµ·ããªãããšããããšã¯ããŸã¡ããŸã¡ãLv.49äºä»¶ã¯èµ·ããªãããšããããšã«ãããããã fact4: ãå
¥æµŽåºæ¥ãããšãšå«å³ã£ãããããšããããšãèµ·ããããšããããšã¯ã·ãã·ã«ãLv.87äºä»¶ã¯èµ·ããªããšããããšã«ãããããã fact5: ãã¢ã¡ãªã«ã£ãœããšããããšã¯èµ·ãããªãããšããããšã¯ãã¿ã«ãã¿ãLv.27äºä»¶ãçºçãããæŽã«èª€ãç¡ããšããããšãçããããšããããšããããã fact6: å«å³ã£ãããããšããããšãçºçãã fact7: ã¢ã¡ãªã«ã£ãœããšããããšãèµ·ãã fact8: ãã誀ãç¡ããšããããšããã³ã¢ã¡ãªã«ã£ãœããšããããšãèµ·ãããšãããšãŸã¡ããŸã¡ãLv.49äºä»¶ã¯çããªã fact9: 誀ãç¡ããšããããšãšå«å³ã£ãããããšããããšäž¡æ¹ãšããçºçãã | fact1: ¬{AE} -> ¬{CM} fact2: ¬{F} fact3: ¬{D} -> ¬{E} fact4: ¬{F} -> ({DO} & {B}) fact5: ¬{C} -> ({HA} & {A}) fact6: {B} fact7: {C} fact8: ({A} & {C}) -> ¬{D} fact9: ({A} & {B}) | [
"fact9 -> int1: 誀ãç¡ããšããããšãçãã; int1 & fact7 -> int2: ã誀ãç¡ããšããããšããã³ã¢ã¡ãªã«ã£ãœããšããããšäž¡æ¹ãšããçºçããããšããããšã¯æ£ãã; int2 & fact8 -> int3: ãŸã¡ããŸã¡ãLv.49äºä»¶ã¯èµ·ãããªã; int3 & fact3 -> hypothesis;"
] | [
"fact9 -> int1: {A}; int1 & fact7 -> int2: ({A} & {C}); int2 & fact8 -> int3: ¬{D}; int3 & fact3 -> hypothesis;"
] | å
¥æµŽåºæ¥ãããšããã³ã¿ã«ãã¿ãLv.27äºä»¶ãçºçãã | ({DO} & {HA}) | [
"fact10 & fact11 -> int4: å
¥æµŽåºæ¥ãããšããã³å«å³ã£ãããããšããããšãèµ·ãã; int4 -> int5: å
¥æµŽåºæ¥ãããšãçºçãã;"
] | 6 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãæ°é«ããšããããšã¯çããªãããšããããšã¯æããšããããšãåé¿ãã fact2: ã·ãã·ã«ãLv.87äºä»¶ã¯èµ·ããªã fact3: ãçžè«ãæããšããããšã¯èµ·ããªãããšããããšã¯ããŸã¡ããŸã¡ãLv.49äºä»¶ã¯èµ·ããªãããšããããšã«ãããããã fact4: ãå
¥æµŽåºæ¥ãããšãšå«å³ã£ãããããšããããšãèµ·ããããšããããšã¯ã·ãã·ã«ãLv.87äºä»¶ã¯èµ·ããªããšããããšã«ãããããã fact5: ãã¢ã¡ãªã«ã£ãœããšããããšã¯èµ·ãããªãããšããããšã¯ãã¿ã«ãã¿ãLv.27äºä»¶ãçºçãããæŽã«èª€ãç¡ããšããããšãçããããšããããšããããã fact6: å«å³ã£ãããããšããããšãçºçãã fact7: ã¢ã¡ãªã«ã£ãœããšããããšãèµ·ãã fact8: ãã誀ãç¡ããšããããšããã³ã¢ã¡ãªã«ã£ãœããšããããšãèµ·ãããšãããšãŸã¡ããŸã¡ãLv.49äºä»¶ã¯çããªã fact9: 誀ãç¡ããšããããšãšå«å³ã£ãããããšããããšäž¡æ¹ãšããçºçãã ; $hypothesis$ = çžè«ãæããšããããšã¯èµ·ããªã ; $proof$ = | fact9 -> int1: 誀ãç¡ããšããããšãçãã; int1 & fact7 -> int2: ã誀ãç¡ããšããããšããã³ã¢ã¡ãªã«ã£ãœããšããããšäž¡æ¹ãšããçºçããããšããããšã¯æ£ãã; int2 & fact8 -> int3: ãŸã¡ããŸã¡ãLv.49äºä»¶ã¯èµ·ãããªã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{AE} -> ¬{CM} fact2: ¬{F} fact3: ¬{D} -> ¬{E} fact4: ¬{F} -> ({DO} & {B}) fact5: ¬{C} -> ({HA} & {A}) fact6: {B} fact7: {C} fact8: ({A} & {C}) -> ¬{D} fact9: ({A} & {B}) ; $hypothesis$ = ¬{E} ; $proof$ = | fact9 -> int1: {A}; int1 & fact7 -> int2: ({A} & {C}); int2 & fact8 -> int3: ¬{D}; int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | 空æããããšããããšãèµ·ãã | {F} | fact1: ãèŸæ±åŒ·ããšããããšãèµ·ããããšããããšã¯æ¬åœã fact2: èªçºãæããšããããšã¯å®ããšããããšã¯èµ·ãããªããšããããšãé»ã fact3: ããã¡ããã«ãLv.46äºä»¶ãèµ·ããããšããããšã¯æ£ãã fact4: å®ããšããããšã¯ãã€ããšããããšã«ç¹ãã fact5: ãããããã€ããšããããšãšãã¡ããã«ãLv.46äºä»¶ãèµ·ããããšããããšã¯çå®ã ãšããã°ã空æããããšããããšã¯çããªãããšããããšã¯æãç«ã€ fact6: ãããèŸæ±åŒ·ããšããããšã¯èµ·ãããªããšããã空æããããšããããšãšèªçºãæããšããããšäž¡æ¹ãçãã fact7: èªçºãæããšããããšãçºçããããŸãèŸæ±åŒ·ããšããããšãèµ·ãã | fact1: {B} fact2: {A} -> {C} fact3: {E} fact4: {C} -> {D} fact5: ({D} & {E}) -> ¬{F} fact6: ¬{B} -> ({F} & {A}) fact7: ({A} & {B}) | [
"fact7 -> int1: èªçºãæããšããããšãèµ·ãã; int1 & fact2 -> int2: å®ããšããããšãçãã; int2 & fact4 -> int3: ãã€ããšããããšãçºçãã; int3 & fact3 -> int4: ãã€ããšããããšããã³ãã¡ããã«ãLv.46äºä»¶äž¡æ¹ãèµ·ãã; int4 & fact5 -> hypothesis;"
] | [
"fact7 -> int1: {A}; int1 & fact2 -> int2: {C}; int2 & fact4 -> int3: {D}; int3 & fact3 -> int4: ({D} & {E}); int4 & fact5 -> hypothesis;"
] | 空æããããšããããšãèµ·ãã | {F} | [] | 6 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãèŸæ±åŒ·ããšããããšãèµ·ããããšããããšã¯æ¬åœã fact2: èªçºãæããšããããšã¯å®ããšããããšã¯èµ·ãããªããšããããšãé»ã fact3: ããã¡ããã«ãLv.46äºä»¶ãèµ·ããããšããããšã¯æ£ãã fact4: å®ããšããããšã¯ãã€ããšããããšã«ç¹ãã fact5: ãããããã€ããšããããšãšãã¡ããã«ãLv.46äºä»¶ãèµ·ããããšããããšã¯çå®ã ãšããã°ã空æããããšããããšã¯çããªãããšããããšã¯æãç«ã€ fact6: ãããèŸæ±åŒ·ããšããããšã¯èµ·ãããªããšããã空æããããšããããšãšèªçºãæããšããããšäž¡æ¹ãçãã fact7: èªçºãæããšããããšãçºçããããŸãèŸæ±åŒ·ããšããããšãèµ·ãã ; $hypothesis$ = 空æããããšããããšãèµ·ãã ; $proof$ = | fact7 -> int1: èªçºãæããšããããšãèµ·ãã; int1 & fact2 -> int2: å®ããšããããšãçãã; int2 & fact4 -> int3: ãã€ããšããããšãçºçãã; int3 & fact3 -> int4: ãã€ããšããããšããã³ãã¡ããã«ãLv.46äºä»¶äž¡æ¹ãèµ·ãã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: {A} -> {C} fact3: {E} fact4: {C} -> {D} fact5: ({D} & {E}) -> ¬{F} fact6: ¬{B} -> ({F} & {A}) fact7: ({A} & {B}) ; $hypothesis$ = {F} ; $proof$ = | fact7 -> int1: {A}; int1 & fact2 -> int2: {C}; int2 & fact4 -> int3: {D}; int3 & fact3 -> int4: ({D} & {E}); int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ã«ã
ã·ã«ãLv.68ã¯éŠ¬é¹¿ã§ããäžæ¹ã§éºã
ãããªãããšããããšã¯äºå®ãšç°ãªã | ¬({C}{a} & ¬{B}{a}) | fact1: ãã®ã·ã«ã
ã·ã«ãLv.68ã¯æŒãç¡ããªããŠãŸãæ€éããªã fact2: ããä»®ã«ãã®ã·ã«ã
ã·ã«ãLv.68ã¯ä¹Ÿãæããšãããããã®ã·ã«ã
ã·ã«ãLv.68ã¯æŒãç¡ãããããæ€éããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact3: ãããã®ã·ã«ã
ã·ã«ãLv.68ã¯ä¹Ÿãæããªããšããã°ããã®ã·ã«ã
ã·ã«ãLv.68ã¯éŠ¬é¹¿ã§ãããéºã
ãããªãããšããããšã¯æãç«ããªã fact4: ãããã®ã·ã«ã
ã·ã«ãLv.68ã¯æŒãç¡ããã©ããã¯æ€éããªãããšããããšã¯æãç«ããªãããšããããšã¯çå®ã fact5: ããã®ãã«ããã¡ãLv.72ã¯å
¶ãã£ãœããªãããšããããšã¯æãç«ã€ fact6: ããã®ã·ã«ã
ã·ã«ãLv.68ã¯éŠ¬é¹¿ã§ãããããã¯éºã
ããããšããããšã¯æãç«ããªã fact7: ããã®ã·ã«ã
ã·ã«ãLv.68ã¯æŒãç¡ããšããããšã¯ãªããæ€éããããšããããšã¯ééãã | fact1: (¬{AA}{a} & ¬{AB}{a}) fact2: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact3: ¬{A}{a} -> ¬({C}{a} & ¬{B}{a}) fact4: ¬({AA}{a} & ¬{AB}{a}) fact5: ¬{D}{c} fact6: ¬({C}{a} & {B}{a}) fact7: ¬(¬{AA}{a} & {AB}{a}) | [] | [] | ãã®ã·ã«ã
ã·ã«ãLv.68ã¯éŠ¬é¹¿ã§ããããã©éºã
ãããšããããšã¯ãªã | ({C}{a} & ¬{B}{a}) | [
"fact8 -> int1: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯å
¶ãã£ãœããªã;"
] | 4 | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ã
ã·ã«ãLv.68ã¯æŒãç¡ããªããŠãŸãæ€éããªã fact2: ããä»®ã«ãã®ã·ã«ã
ã·ã«ãLv.68ã¯ä¹Ÿãæããšãããããã®ã·ã«ã
ã·ã«ãLv.68ã¯æŒãç¡ãããããæ€éããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact3: ãããã®ã·ã«ã
ã·ã«ãLv.68ã¯ä¹Ÿãæããªããšããã°ããã®ã·ã«ã
ã·ã«ãLv.68ã¯éŠ¬é¹¿ã§ãããéºã
ãããªãããšããããšã¯æãç«ããªã fact4: ãããã®ã·ã«ã
ã·ã«ãLv.68ã¯æŒãç¡ããã©ããã¯æ€éããªãããšããããšã¯æãç«ããªãããšããããšã¯çå®ã fact5: ããã®ãã«ããã¡ãLv.72ã¯å
¶ãã£ãœããªãããšããããšã¯æãç«ã€ fact6: ããã®ã·ã«ã
ã·ã«ãLv.68ã¯éŠ¬é¹¿ã§ãããããã¯éºã
ããããšããããšã¯æãç«ããªã fact7: ããã®ã·ã«ã
ã·ã«ãLv.68ã¯æŒãç¡ããšããããšã¯ãªããæ€éããããšããããšã¯ééãã ; $hypothesis$ = ããã®ã·ã«ã
ã·ã«ãLv.68ã¯éŠ¬é¹¿ã§ããäžæ¹ã§éºã
ãããªãããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{a} & ¬{AB}{a}) fact2: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact3: ¬{A}{a} -> ¬({C}{a} & ¬{B}{a}) fact4: ¬({AA}{a} & ¬{AB}{a}) fact5: ¬{D}{c} fact6: ¬({C}{a} & {B}{a}) fact7: ¬(¬{AA}{a} & {AB}{a}) ; $hypothesis$ = ¬({C}{a} & ¬{B}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããããæµã¿æ·±ãããããã¯å³ãããããã¯äž¡æ¹ãšãã§ãããšããã埡åãç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ({AA}x v {AB}x) -> ¬{B}x | fact1: ããæµã¿æ·±ããšããã埡åãç¡ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯çå®ã§ãã fact2: ããããã®ãœã¡ããœã¡ã
Lv.47ã埮ç¬ãŸããããããã¯å±ãæããªãå¬ããããªã fact3: ããä»®ã«ãã®ã·ã¡ã
ã·ãªLv.9ã¯æµã¿æ·±ããªãããã®ã·ã¡ã
ã·ãªLv.9ã¯åŸ¡åãç¡ããªãããšããããšã¯çå®ã§ãã fact4: ããããå³ããšããã°åŸ¡åãç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: (Ex): {AA}x -> ¬{B}x fact2: ({CF}{hg} v {IL}{hg}) -> ¬{FT}{hg} fact3: {AA}{aa} -> ¬{B}{aa} fact4: (Ex): {AB}x -> ¬{B}x | [] | [] | null | null | [] | null | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããæµã¿æ·±ããšããã埡åãç¡ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯çå®ã§ãã fact2: ããããã®ãœã¡ããœã¡ã
Lv.47ã埮ç¬ãŸããããããã¯å±ãæããªãå¬ããããªã fact3: ããä»®ã«ãã®ã·ã¡ã
ã·ãªLv.9ã¯æµã¿æ·±ããªãããã®ã·ã¡ã
ã·ãªLv.9ã¯åŸ¡åãç¡ããªãããšããããšã¯çå®ã§ãã fact4: ããããå³ããšããã°åŸ¡åãç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ããããæµã¿æ·±ãããããã¯å³ãããããã¯äž¡æ¹ãšãã§ãããšããã埡åãç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): {AA}x -> ¬{B}x fact2: ({CF}{hg} v {IL}{hg}) -> ¬{FT}{hg} fact3: {AA}{aa} -> ¬{B}{aa} fact4: (Ex): {AB}x -> ¬{B}x ; $hypothesis$ = (Ex): ({AA}x v {AB}x) -> ¬{B}x ; $proof$ = | __UNKNOWN__ |
0.3 | 圌女ããããšããããšãšæã
ãããšããããšäž¡æ¹ãšããèµ·ãã | ({A} & {B}) | fact1: çãé£ããšããããšã¯çºçããªãããŸãã¯èµ·ãæããšããããšãçãã fact2: 圌女ããããšããããšã¯çããªããªãã°ãçãé£ããšããããšã¯çºçããªãããããã¯èµ·ãæããšããããšãçããããããã¯ã©ã¡ããã ããšããããšã¯èª€ã£ãŠãã fact3: äœããšããããšã¯çããªããšããããšã¯ããœã«ã
ãœãLv.31äºä»¶ãçºçããªããŠããããŽããŽãLv.52äºä»¶ã¯èµ·ãããªãããšããããšã«åŒãèµ·ãããã fact4: æã
ãããšããããšãçãã fact5: ãããæ¢ãç¡ããšããããšã¯èµ·ããªããªãã°ããœã«ã
ãœãLv.31äºä»¶ã¯çããªããŠãŽããŽãLv.52äºä»¶ã¯çããªãããšããããšã¯äºå®ã fact6: ããäœããšããããšã¯èµ·ãããªããªããã圌女ããããšããããšãšæã
ãããšããããšãçããããšããããšã¯æ¬åœã ããšããããšã¯äºå®ãšç°ãªã | fact1: (¬{AA} v {AB}) fact2: ¬{A} -> ¬(¬{AA} v {AB}) fact3: (¬{E} & ¬{D}) -> ¬{C} fact4: {B} fact5: ¬{F} -> (¬{E} & ¬{D}) fact6: ¬{C} -> ¬({A} & {B}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããã圌女ããããšããããšã¯çºçããªã; fact2 & assump1 -> int1: ãçãé£ããšããããšã¯èµ·ããªãããããã¯èµ·ãæããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: 圌女ããããšããããšãçãã; int3 & fact4 -> hypothesis;"
] | [
"void -> assump1: ¬{A}; fact2 & assump1 -> int1: ¬(¬{AA} v {AB}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: {A}; int3 & fact4 -> hypothesis;"
] | ã圌女ããããšããããšããã³æã
ãããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯åœã§ãã | ¬({A} & {B}) | [] | 8 | 5 | 4 | 5 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: çãé£ããšããããšã¯çºçããªãããŸãã¯èµ·ãæããšããããšãçãã fact2: 圌女ããããšããããšã¯çããªããªãã°ãçãé£ããšããããšã¯çºçããªãããããã¯èµ·ãæããšããããšãçããããããã¯ã©ã¡ããã ããšããããšã¯èª€ã£ãŠãã fact3: äœããšããããšã¯çããªããšããããšã¯ããœã«ã
ãœãLv.31äºä»¶ãçºçããªããŠããããŽããŽãLv.52äºä»¶ã¯èµ·ãããªãããšããããšã«åŒãèµ·ãããã fact4: æã
ãããšããããšãçãã fact5: ãããæ¢ãç¡ããšããããšã¯èµ·ããªããªãã°ããœã«ã
ãœãLv.31äºä»¶ã¯çããªããŠãŽããŽãLv.52äºä»¶ã¯çããªãããšããããšã¯äºå®ã fact6: ããäœããšããããšã¯èµ·ãããªããªããã圌女ããããšããããšãšæã
ãããšããããšãçããããšããããšã¯æ¬åœã ããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = 圌女ããããšããããšãšæã
ãããšããããšäž¡æ¹ãšããèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããã圌女ããããšããããšã¯çºçããªã; fact2 & assump1 -> int1: ãçãé£ããšããããšã¯èµ·ããªãããããã¯èµ·ãæããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: 圌女ããããšããããšãçãã; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{AA} v {AB}) fact2: ¬{A} -> ¬(¬{AA} v {AB}) fact3: (¬{E} & ¬{D}) -> ¬{C} fact4: {B} fact5: ¬{F} -> (¬{E} & ¬{D}) fact6: ¬{C} -> ¬({A} & {B}) ; $hypothesis$ = ({A} & {B}) ; $proof$ = | void -> assump1: ¬{A}; fact2 & assump1 -> int1: ¬(¬{AA} v {AB}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: {A}; int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŽããŽãLv.90ã¯è±¹å€ãããšããããšã¯ãªããŠæŽã«ç 究åºæ¥ãªãããšããããšã¯èª€ã£ãŠãã | ¬(¬{G}{d} & ¬{F}{d}) | fact1: ããä»®ã«ãã®ã·ãã·ãLv.35ãçµåãæããªãã°æ®çºãæã fact2: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ã¡ã£ãããªããšãããšãããã¯è±¹å€ããªããããã«ããã¯ç 究åºæ¥ããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact3: ãããããæ®çºãæããã¢ã³ã¹ã¿ãŒããããšããããã®ãŽããŽãLv.90ã¯è±¹å€ãããšããããšã¯ãªããããã¯ç 究åºæ¥ãªãããšããããšã¯ç¢ºãã fact4: ãã®ããããLv.14ã¯ã¡ã£ããããããã¯ç·ãããããŸãã¯äž¡æ¹ã fact5: ç·ãããã¢ã³ã¹ã¿ãŒã¯ã¡ã£ãããªããã©åŸ¡åµèšãã fact6: ä»®ã«ãã®ãã«ããLv.45ã埡åµèšãããšãããšãã®ã·ãã·ãLv.35ã¯çµåãæã fact7: ä»®ã«ãã®ããããLv.14ãç·ããããªããã®ãã«ããLv.45ã¯åŸ¡åµèšãã fact8: ããããã®ããããLv.14ãã¡ã£ãããšããã°ãã®ãã«ããLv.45ã¯åŸ¡åµèšãã fact9: ããä»®ã«ãã®ããããLv.14ãã¡ã£ãããªãäžæ¹ã§ããã埡åµèšãããªããã®ãŽããŽãLv.90ã¯ã¡ã£ãããªã | fact1: {D}{b} -> {E}{b} fact2: (x): ¬{A}x -> ¬(¬{G}x & ¬{F}x) fact3: (x): {E}x -> (¬{G}{d} & ¬{F}{d}) fact4: ({A}{a} v {B}{a}) fact5: (x): {B}x -> (¬{A}x & {C}x) fact6: {C}{c} -> {D}{b} fact7: {B}{a} -> {C}{c} fact8: {A}{a} -> {C}{c} fact9: (¬{A}{a} & {C}{a}) -> ¬{A}{d} | [
"fact4 & fact8 & fact7 -> int1: ãã®ãã«ããLv.45ã¯åŸ¡åµèšãã; int1 & fact6 -> int2: ãã®ã·ãã·ãLv.35ã¯çµåãæã; int2 & fact1 -> int3: ãã®ã·ãã·ãLv.35ã¯æ®çºãæã; int3 -> int4: ãæ®çºãæããã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact3 -> hypothesis;"
] | [
"fact4 & fact8 & fact7 -> int1: {C}{c}; int1 & fact6 -> int2: {D}{b}; int2 & fact1 -> int3: {E}{b}; int3 -> int4: (Ex): {E}x; int4 & fact3 -> hypothesis;"
] | ããã®ãŽããŽãLv.90ã¯è±¹å€ãããšããããšã¯ãªããŠæŽã«ç 究åºæ¥ãªãããšããããšã¯èª€ã£ãŠãã | ¬(¬{G}{d} & ¬{F}{d}) | [
"fact11 -> int5: ããä»®ã«ãã®ãŽããŽãLv.90ã¯ã¡ã£ãããªããªããè±¹å€ããªããç 究åºæ¥ãªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; fact10 -> int6: ããä»®ã«ãã®ããããLv.14ãç·ããããšããã°ãã®ããããLv.14ã¯ã¡ã£ãããªãã埡åµèšãã;"
] | 6 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ã·ãã·ãLv.35ãçµåãæããªãã°æ®çºãæã fact2: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ã¡ã£ãããªããšãããšãããã¯è±¹å€ããªããããã«ããã¯ç 究åºæ¥ããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact3: ãããããæ®çºãæããã¢ã³ã¹ã¿ãŒããããšããããã®ãŽããŽãLv.90ã¯è±¹å€ãããšããããšã¯ãªããããã¯ç 究åºæ¥ãªãããšããããšã¯ç¢ºãã fact4: ãã®ããããLv.14ã¯ã¡ã£ããããããã¯ç·ãããããŸãã¯äž¡æ¹ã fact5: ç·ãããã¢ã³ã¹ã¿ãŒã¯ã¡ã£ãããªããã©åŸ¡åµèšãã fact6: ä»®ã«ãã®ãã«ããLv.45ã埡åµèšãããšãããšãã®ã·ãã·ãLv.35ã¯çµåãæã fact7: ä»®ã«ãã®ããããLv.14ãç·ããããªããã®ãã«ããLv.45ã¯åŸ¡åµèšãã fact8: ããããã®ããããLv.14ãã¡ã£ãããšããã°ãã®ãã«ããLv.45ã¯åŸ¡åµèšãã fact9: ããä»®ã«ãã®ããããLv.14ãã¡ã£ãããªãäžæ¹ã§ããã埡åµèšãããªããã®ãŽããŽãLv.90ã¯ã¡ã£ãããªã ; $hypothesis$ = ããã®ãŽããŽãLv.90ã¯è±¹å€ãããšããããšã¯ãªããŠæŽã«ç 究åºæ¥ãªãããšããããšã¯èª€ã£ãŠãã ; $proof$ = | fact4 & fact8 & fact7 -> int1: ãã®ãã«ããLv.45ã¯åŸ¡åµèšãã; int1 & fact6 -> int2: ãã®ã·ãã·ãLv.35ã¯çµåãæã; int2 & fact1 -> int3: ãã®ã·ãã·ãLv.35ã¯æ®çºãæã; int3 -> int4: ãæ®çºãæããã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {D}{b} -> {E}{b} fact2: (x): ¬{A}x -> ¬(¬{G}x & ¬{F}x) fact3: (x): {E}x -> (¬{G}{d} & ¬{F}{d}) fact4: ({A}{a} v {B}{a}) fact5: (x): {B}x -> (¬{A}x & {C}x) fact6: {C}{c} -> {D}{b} fact7: {B}{a} -> {C}{c} fact8: {A}{a} -> {C}{c} fact9: (¬{A}{a} & {C}{a}) -> ¬{A}{d} ; $hypothesis$ = ¬(¬{G}{d} & ¬{F}{d}) ; $proof$ = | fact4 & fact8 & fact7 -> int1: {C}{c}; int1 & fact6 -> int2: {D}{b}; int2 & fact1 -> int3: {E}{b}; int3 -> int4: (Ex): {E}x; int4 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããŸã«ãŸãLv.92äºä»¶ãèµ·ãã | {B} | fact1: ããä»®ã«å®çŸãæããšããããšãçºçããããŸã«ãŸãLv.92äºä»¶ãçºçããããããã¯ã©ã¡ããã§ãããªãã·ã«ã·ãLv.53äºä»¶ã¯èµ·ããªã fact2: ã·ã«ã·ãLv.53äºä»¶ãçãã | fact1: ({A} v {B}) -> ¬{C} fact2: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããŸã«ãŸãLv.92äºä»¶ãèµ·ãã; assump1 -> int1: å®çŸãæããšããããšããããã¯ãŸã«ãŸãLv.92äºä»¶ãçºçãã; int1 & fact1 -> int2: ã·ã«ã·ãLv.53äºä»¶ã¯çããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; assump1 -> int1: ({A} v {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«å®çŸãæããšããããšãçºçããããŸã«ãŸãLv.92äºä»¶ãçºçããããããã¯ã©ã¡ããã§ãããªãã·ã«ã·ãLv.53äºä»¶ã¯èµ·ããªã fact2: ã·ã«ã·ãLv.53äºä»¶ãçãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããŸã«ãŸãLv.92äºä»¶ãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããŸã«ãŸãLv.92äºä»¶ãèµ·ãã; assump1 -> int1: å®çŸãæããšããããšããããã¯ãŸã«ãŸãLv.92äºä»¶ãçºçãã; int1 & fact1 -> int2: ã·ã«ã·ãLv.53äºä»¶ã¯çããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} v {B}) -> ¬{C} fact2: {C} ; $hypothesis$ = {B} ; $proof$ = | void -> assump1: {B}; assump1 -> int1: ({A} v {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãããã¢ã³ã¹ã¿ãŒã¯ã¬ãã«ããŠã³ãããããã«ç±èŠããããšããããšã¯åã§ãã | ¬((Ex): ({A}x & {B}x)) | fact1: ãã®ã·ã«ãã·ãLv.98ã¯ã¬ãã«ããŠã³ãã fact2: ãç«ãŠé£ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ç°èã£ãœãããããã¯ã¬ãã«ããŠã³ããããããã¯ã©ã¡ããã ããšããããšã¯æ¬åœã fact3: ãã®ãã¡ã
ããLv.14ã¯ééç¡ããŠé£ã¶ fact4: ããä»®ã«ãã®ã·ã«ãã·ãLv.98ã¯ç°èã£ãœããªãããã®ã·ã«ãã·ã¡ãLv.15ã¯ç°èã£ãœãããšããããšã¯çå®ã§ãã fact5: ãã®ã·ã«ãã·ãLv.98ã¯ç±èŠãã fact6: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããªããŠããã¯ä¹ãæãªã | fact1: {A}{a} fact2: (x): ¬{C}x -> ({T}x v {A}x) fact3: ({AE}{hj} & {BU}{hj}) fact4: {T}{a} -> {T}{cr} fact5: {B}{a} fact6: (x): (¬{C}x & {E}x) | [
"fact1 & fact5 -> int1: ãã®ã·ã«ãã·ãLv.98ã¯ã¬ãã«ããŠã³ãããç±èŠãã; int1 -> hypothesis;"
] | [
"fact1 & fact5 -> int1: ({A}{a} & {B}{a}); int1 -> hypothesis;"
] | ãã®ã·ã«ãã·ã¡ãLv.15ã¯ç°èã£ãœããæŽã«ç±èŠãã | ({T}{cr} & {B}{cr}) | [
"fact7 -> int2: ãã®ã·ãã·ã«Lv.4ã¯ç«ãŠé£ããªãããããä¹ãæãªã; int2 -> int3: ãã®ã·ãã·ã«Lv.4ã¯ç«ãŠé£ããšããããšã¯ãªã; int3 -> int4: ããããã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããªã; int4 -> int5: ãã®ã·ã«ãã·ãLv.98ã¯ç«ãŠé£ããªã; fact8 -> int6: ããããã®ã·ã«ãã·ãLv.98ãç«ãŠé£ããªããªãã°ç°èã£ãœãããããã¯ã¬ãã«ããŠã³ããããŸãã¯ã©ã¡ããã§ãã; int5 & int6 -> int7: ãã®ã·ã«ãã·ãLv.98ã¯ç°èã£ãœãããããã¯ã¬ãã«ããŠã³ãã;"
] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ãã·ãLv.98ã¯ã¬ãã«ããŠã³ãã fact2: ãç«ãŠé£ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ç°èã£ãœãããããã¯ã¬ãã«ããŠã³ããããããã¯ã©ã¡ããã ããšããããšã¯æ¬åœã fact3: ãã®ãã¡ã
ããLv.14ã¯ééç¡ããŠé£ã¶ fact4: ããä»®ã«ãã®ã·ã«ãã·ãLv.98ã¯ç°èã£ãœããªãããã®ã·ã«ãã·ã¡ãLv.15ã¯ç°èã£ãœãããšããããšã¯çå®ã§ãã fact5: ãã®ã·ã«ãã·ãLv.98ã¯ç±èŠãã fact6: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããªããŠããã¯ä¹ãæãªã ; $hypothesis$ = ãããã¢ã³ã¹ã¿ãŒã¯ã¬ãã«ããŠã³ãããããã«ç±èŠããããšããããšã¯åã§ãã ; $proof$ = | fact1 & fact5 -> int1: ãã®ã·ã«ãã·ãLv.98ã¯ã¬ãã«ããŠã³ãããç±èŠãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: (x): ¬{C}x -> ({T}x v {A}x) fact3: ({AE}{hj} & {BU}{hj}) fact4: {T}{a} -> {T}{cr} fact5: {B}{a} fact6: (x): (¬{C}x & {E}x) ; $hypothesis$ = ¬((Ex): ({A}x & {B}x)) ; $proof$ = | fact1 & fact5 -> int1: ({A}{a} & {B}{a}); int1 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãŽããŽã¡ãLv.73ã¯ãã€ã | {A}{aa} | fact1: ä»®ã«ããã®ãŸãªãŸãLv.37ã¯æããªãããã©äžå³ãããšããããšã¯æãç«ããªããªããã®ãŸãªãŸãLv.37ã¯åžåããæããªã fact2: ãã®ãŽããŽã¡ãLv.73ã¯åžåããæã fact3: ãã€ãã¢ã³ã¹ã¿ãŒã¯åžåããæããšããããšã¯ãªã fact4: ãäœããã®ã¢ã³ã¹ã¿ãŒãèªæµ·ããã°ãã§ãŒãã¢ãŠãããªãããšããããšã¯ç¢ºãã fact5: ããããã®ãŸãªãŸãLv.37ã¯ãã€ããšãããšããã®ãŽããŽã¡ãLv.73ã¯ãã€ãããšããããšã¯æ£ãã fact6: ãããã€ãã¢ã³ã¹ã¿ãŒãè¿æžãããªãããã¯æºãããªããªã | fact1: ¬(¬{E}{a} & {D}{a}) -> ¬{C}{a} fact2: {C}{aa} fact3: (x): {A}x -> ¬{C}x fact4: (x): {HF}x -> ¬{BA}x fact5: {A}{a} -> {A}{aa} fact6: (x): ({A}x & {B}x) -> ¬{JH}x | [
"fact3 -> int1: ãã®ãŽããŽã¡ãLv.73ããã€ããªããã®ãŽããŽã¡ãLv.73ã¯åžåããæããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽã¡ãLv.73ã¯ãã€ã; int1 & assump1 -> int2: ããã®ãŽããŽã¡ãLv.73ã¯åžåããæããªãããšããããšã¯æãç«ã€; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"fact3 -> int1: {A}{aa} -> ¬{C}{aa}; void -> assump1: {A}{aa}; int1 & assump1 -> int2: ¬{C}{aa}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ãŽããŽã¡ãLv.73ã¯ãã€ã | {A}{aa} | [] | 5 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ããã®ãŸãªãŸãLv.37ã¯æããªãããã©äžå³ãããšããããšã¯æãç«ããªããªããã®ãŸãªãŸãLv.37ã¯åžåããæããªã fact2: ãã®ãŽããŽã¡ãLv.73ã¯åžåããæã fact3: ãã€ãã¢ã³ã¹ã¿ãŒã¯åžåããæããšããããšã¯ãªã fact4: ãäœããã®ã¢ã³ã¹ã¿ãŒãèªæµ·ããã°ãã§ãŒãã¢ãŠãããªãããšããããšã¯ç¢ºãã fact5: ããããã®ãŸãªãŸãLv.37ã¯ãã€ããšãããšããã®ãŽããŽã¡ãLv.73ã¯ãã€ãããšããããšã¯æ£ãã fact6: ãããã€ãã¢ã³ã¹ã¿ãŒãè¿æžãããªãããã¯æºãããªããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãŽããŽã¡ãLv.73ã¯ãã€ã ; $proof$ = | fact3 -> int1: ãã®ãŽããŽã¡ãLv.73ããã€ããªããã®ãŽããŽã¡ãLv.73ã¯åžåããæããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽã¡ãLv.73ã¯ãã€ã; int1 & assump1 -> int2: ããã®ãŽããŽã¡ãLv.73ã¯åžåããæããªãããšããããšã¯æãç«ã€; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{E}{a} & {D}{a}) -> ¬{C}{a} fact2: {C}{aa} fact3: (x): {A}x -> ¬{C}x fact4: (x): {HF}x -> ¬{BA}x fact5: {A}{a} -> {A}{aa} fact6: (x): ({A}x & {B}x) -> ¬{JH}x ; $hypothesis$ = {A}{aa} ; $proof$ = | fact3 -> int1: {A}{aa} -> ¬{C}{aa}; void -> assump1: {A}{aa}; int1 & assump1 -> int2: ¬{C}{aa}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽã®ãŽãLv.80ã¯åºããªããå¡©ã£èŸããªãããšããããšã¯ééãã | ¬(¬{AA}{a} & ¬{AB}{a}) | fact1: ã座ãæããªãã¢ã³ã¹ã¿ãŒã¯ããã©ããªããæãæããªãããšããããšã¯ç¢ºãã§ãã fact2: ãã®ãŽã®ãŽãLv.80ã¯å¡©ã£èŸããšããããšã¯ãªã fact3: èå¯ããªãã¢ã³ã¹ã¿ãŒã¯åº§ãæãããŸãæãããã fact4: ããããã¢ã³ã¹ã¿ãŒã¯å¡©ã£èŸããªã | fact1: (x): ¬{A}x -> (¬{R}x & ¬{GC}x) fact2: ¬{AB}{a} fact3: (x): ¬{C}x -> ({A}x & {B}x) fact4: (x): ¬{AB}x | [] | [] | ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ããã©ããªããŠæãæããªã | (x): (¬{R}x & ¬{GC}x) | [
"fact5 -> int1: ä»®ã«ãã®ãŽã®ãŽãLv.80ã座ãæããªããªãã°ãã®ãŽã®ãŽãLv.80ã¯ããã©ããªããæãæããªã;"
] | 4 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã座ãæããªãã¢ã³ã¹ã¿ãŒã¯ããã©ããªããæãæããªãããšããããšã¯ç¢ºãã§ãã fact2: ãã®ãŽã®ãŽãLv.80ã¯å¡©ã£èŸããšããããšã¯ãªã fact3: èå¯ããªãã¢ã³ã¹ã¿ãŒã¯åº§ãæãããŸãæãããã fact4: ããããã¢ã³ã¹ã¿ãŒã¯å¡©ã£èŸããªã ; $hypothesis$ = ããã®ãŽã®ãŽãLv.80ã¯åºããªããå¡©ã£èŸããªãããšããããšã¯ééãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> (¬{R}x & ¬{GC}x) fact2: ¬{AB}{a} fact3: (x): ¬{C}x -> ({A}x & {B}x) fact4: (x): ¬{AB}x ; $hypothesis$ = ¬(¬{AA}{a} & ¬{AB}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ã·ãã·ã¡ã
Lv.41äºä»¶ã¯çºçããªããã©çåããããšãçãã | (¬{B} & {C}) | fact1: ãã¿ã«ã¿ã«ãLv.58äºä»¶ã¯èµ·ãããªãããããã¯ã·ãã·ã¡ã
Lv.41äºä»¶ãçããããšããããšã¯èª€ã£ãŠãã fact2: çåããããšãçºçãã fact3: ãã¿ã«ã¿ã«ãLv.58äºä»¶ãçããããã©ã·ãã·ã¡ã
Lv.41äºä»¶ã¯çºçããªãããšããããšã¯ãã¡ã
ããLv.66äºä»¶ãèµ·ãããšããããšãçãããã | fact1: ¬(¬{A} v {B}) fact2: {C} fact3: ({A} & ¬{B}) -> {FK} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ã¡ã
Lv.41äºä»¶ãçºçãã; assump1 -> int1: ã¿ã«ã¿ã«ãLv.58äºä»¶ã¯çããªãããããã¯ã·ãã·ã¡ã
Lv.41äºä»¶ãèµ·ãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã·ãã·ã¡ã
Lv.41äºä»¶ã¯çºçããªã; int3 & fact2 -> hypothesis;"
] | [
"void -> assump1: {B}; assump1 -> int1: (¬{A} v {B}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{B}; int3 & fact2 -> hypothesis;"
] | ãã¡ã
ããLv.66äºä»¶ãçºçãã | {FK} | [] | 6 | 5 | 3 | 5 | 3 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¿ã«ã¿ã«ãLv.58äºä»¶ã¯èµ·ãããªãããããã¯ã·ãã·ã¡ã
Lv.41äºä»¶ãçããããšããããšã¯èª€ã£ãŠãã fact2: çåããããšãçºçãã fact3: ãã¿ã«ã¿ã«ãLv.58äºä»¶ãçããããã©ã·ãã·ã¡ã
Lv.41äºä»¶ã¯çºçããªãããšããããšã¯ãã¡ã
ããLv.66äºä»¶ãèµ·ãããšããããšãçãããã ; $hypothesis$ = ã·ãã·ã¡ã
Lv.41äºä»¶ã¯çºçããªããã©çåããããšãçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ã¡ã
Lv.41äºä»¶ãçºçãã; assump1 -> int1: ã¿ã«ã¿ã«ãLv.58äºä»¶ã¯çããªãããããã¯ã·ãã·ã¡ã
Lv.41äºä»¶ãèµ·ãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã·ãã·ã¡ã
Lv.41äºä»¶ã¯çºçããªã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{A} v {B}) fact2: {C} fact3: ({A} & ¬{B}) -> {FK} ; $hypothesis$ = (¬{B} & {C}) ; $proof$ = | void -> assump1: {B}; assump1 -> int1: (¬{A} v {B}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{B}; int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã®ã·ãªLv.89ã¯å±éãæã | {D}{b} | fact1: ãããã®ãŽã«ã
ãŽãLv.14ã岡æããããšãããšãã®ã·ã®ã·ãªLv.89ã¯å±éãæã fact2: ããããã®ãœã«ãœãLv.60ãçµã³ä»ãé£ããšããããã®ãŽã«ã
ãŽãLv.14ã¯åã fact3: ããä»®ã«ãã®ãœã«ãœãLv.60ãææ¡ãé£ããšããã°ãã®ãŽã«ã
ãŽãLv.14ã¯åã fact4: ãã®ãœã«ãœãLv.60ã¯åããæããšããããšã¯ãªã fact5: ãã®ãŽã«ã
ãŽãLv.14ãåããªãã°ãã®ãŽã«ã
ãŽãLv.14ã¯å²¡æããã | fact1: {C}{a} -> {D}{b} fact2: {AA}{aa} -> {B}{a} fact3: {AB}{aa} -> {B}{a} fact4: ¬{A}{aa} fact5: {B}{a} -> {C}{a} | [] | [] | null | null | [] | null | 5 | 5 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ãŽã«ã
ãŽãLv.14ã岡æããããšãããšãã®ã·ã®ã·ãªLv.89ã¯å±éãæã fact2: ããããã®ãœã«ãœãLv.60ãçµã³ä»ãé£ããšããããã®ãŽã«ã
ãŽãLv.14ã¯åã fact3: ããä»®ã«ãã®ãœã«ãœãLv.60ãææ¡ãé£ããšããã°ãã®ãŽã«ã
ãŽãLv.14ã¯åã fact4: ãã®ãœã«ãœãLv.60ã¯åããæããšããããšã¯ãªã fact5: ãã®ãŽã«ã
ãŽãLv.14ãåããªãã°ãã®ãŽã«ã
ãŽãLv.14ã¯å²¡æããã ; $hypothesis$ = ãã®ã·ã®ã·ãªLv.89ã¯å±éãæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{a} -> {D}{b} fact2: {AA}{aa} -> {B}{a} fact3: {AB}{aa} -> {B}{a} fact4: ¬{A}{aa} fact5: {B}{a} -> {C}{a} ; $hypothesis$ = {D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.66ã¯é³Žãããªã | ¬{A}{a} | fact1: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãåãŸãããªããšããã埡å®ãããå ããŠé³Žãã fact2: ãã®ã·ãã·ã¡ãLv.77ã¯çå±ã£ãœã fact3: ãã®ã¿ãã¿ãLv.66ã¯åãŸãã fact4: ãããã¢ã³ã¹ã¿ãŒã¯æ§åãããããããã¯çå±ã£ãœãããããã¯äž¡æ¹ãšãã ããšããããšã¯ééãã§ãããªãåãŸãããªã fact5: ãããšããã¢ã³ã¹ã¿ãŒã¯æ°Žèããªããšããã°ãæ§åãããããŸãã¯çå±ã£ãœãããšããããšã¯æ£ãããªã fact6: ä»®ã«ãã®ã·ãã·ã¡ãLv.77ã鳎ãããªããã®ã¿ãã¿ãLv.66ã¯é³Žãã fact7: ããä»®ã«ãã®ã¿ãã¿ãLv.66ã鳎ãããåãŸãããªããã®ã·ãã·ã¡ãLv.77ã¯çå±ã£ãœããšããããšã¯ãªã | fact1: (x): ¬{B}x -> ({GJ}x & {A}x) fact2: {C}{b} fact3: {B}{a} fact4: (x): ¬({D}x v {C}x) -> ¬{B}x fact5: (x): ¬{E}x -> ¬({D}x v {C}x) fact6: {A}{b} -> {A}{a} fact7: ({A}{a} & {B}{a}) -> ¬{C}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ãLv.66ã¯é³Žãã; assump1 & fact3 -> int1: ãã®ã¿ãã¿ãLv.66ã¯é³Žãããå ããŠããã¯åãŸãã; int1 & fact7 -> int2: ããã®ã·ãã·ã¡ãLv.77ã¯çå±ã£ãœãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; assump1 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact7 -> int2: ¬{C}{b}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.66ã¯åŸ¡å®ãã | {GJ}{a} | [
"fact8 -> int4: ããä»®ã«ãã®ã¿ãã¿ãLv.66ãåãŸãããªããšããã°åŸ¡å®ãããæŽã«ããã¯é³Žãã; fact10 -> int5: ããã®ã¿ãã¿ãLv.66ã¯æ§åããããçå±ã£ãœãããŸãã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªããšãããšããã¯åãŸãããªã; fact9 -> int6: ããããã®ã¿ãã¿ãLv.66ã¯æ°Žèããªããšããã°ããã®ã¿ãã¿ãLv.66ã¯æ§åãããããããã¯çå±ã£ãœãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯äºå®ãšç°ãªã;"
] | 5 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãåãŸãããªããšããã埡å®ãããå ããŠé³Žãã fact2: ãã®ã·ãã·ã¡ãLv.77ã¯çå±ã£ãœã fact3: ãã®ã¿ãã¿ãLv.66ã¯åãŸãã fact4: ãããã¢ã³ã¹ã¿ãŒã¯æ§åãããããããã¯çå±ã£ãœãããããã¯äž¡æ¹ãšãã ããšããããšã¯ééãã§ãããªãåãŸãããªã fact5: ãããšããã¢ã³ã¹ã¿ãŒã¯æ°Žèããªããšããã°ãæ§åãããããŸãã¯çå±ã£ãœãããšããããšã¯æ£ãããªã fact6: ä»®ã«ãã®ã·ãã·ã¡ãLv.77ã鳎ãããªããã®ã¿ãã¿ãLv.66ã¯é³Žãã fact7: ããä»®ã«ãã®ã¿ãã¿ãLv.66ã鳎ãããåãŸãããªããã®ã·ãã·ã¡ãLv.77ã¯çå±ã£ãœããšããããšã¯ãªã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.66ã¯é³Žãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ãLv.66ã¯é³Žãã; assump1 & fact3 -> int1: ãã®ã¿ãã¿ãLv.66ã¯é³Žãããå ããŠããã¯åãŸãã; int1 & fact7 -> int2: ããã®ã·ãã·ã¡ãLv.77ã¯çå±ã£ãœãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{B}x -> ({GJ}x & {A}x) fact2: {C}{b} fact3: {B}{a} fact4: (x): ¬({D}x v {C}x) -> ¬{B}x fact5: (x): ¬{E}x -> ¬({D}x v {C}x) fact6: {A}{b} -> {A}{a} fact7: ({A}{a} & {B}{a}) -> ¬{C}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | void -> assump1: {A}{a}; assump1 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact7 -> int2: ¬{C}{b}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãæ³å®ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ã€ | ¬{A} | fact1: æ³å®ãé£ããšããããšãšéªæ·±ããšããããšãçºçããã¯ãéé£ããŸãããšããããšãçºçããããšããããšãåé¿ãã fact2: éªæ·±ããšããããšãèµ·ãã fact3: éé£ããŸãããšããããšãèµ·ãã | fact1: ({A} & {B}) -> ¬{C} fact2: {B} fact3: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæ³å®ãé£ããšããããšãçºçãã; assump1 & fact2 -> int1: æ³å®ãé£ããšããããšãçãããå ããŠéªæ·±ããšããããšãçãã; int1 & fact1 -> int2: éé£ããŸãããšããããšã¯çããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: æ³å®ãé£ããšããããšãšéªæ·±ããšããããšãçºçããã¯ãéé£ããŸãããšããããšãçºçããããšããããšãåé¿ãã fact2: éªæ·±ããšããããšãèµ·ãã fact3: éé£ããŸãããšããããšãèµ·ãã ; $hypothesis$ = ãæ³å®ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ã€ ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæ³å®ãé£ããšããããšãçºçãã; assump1 & fact2 -> int1: æ³å®ãé£ããšããããšãçãããå ããŠéªæ·±ããšããããšãçãã; int1 & fact1 -> int2: éé£ããŸãããšããããšã¯çããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: {B} fact3: {C} ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãããªããšããããšã¯èµ·ããªã | ¬{F} | fact1: ãããããLv.51äºä»¶ããã³ãŸã¡ããŸãLv.29äºä»¶ãçºçããããšããããšã¯ããœããœãLv.64äºä»¶ãçããããšããããšãåé¿ãã fact2: ããããLv.56äºä»¶ãèµ·ãã fact3: ããããLv.51äºä»¶ãçãã fact4: ããä»®ã«ããããLv.51äºä»¶ã¯èµ·ããªããªãã°ããŸã¡ããŸãLv.29äºä»¶ã¯èµ·ãããªããã©ç· çµãããšãèµ·ããããšããããšã¯ç¢ºãã§ãªã fact5: ãããããLv.56äºä»¶ãçããããœããœãLv.64äºä»¶ã¯èµ·ãããªãããšããããšã¯ãããªããšããããšã¯èµ·ããªããšããããšãé»æ¢ãã fact6: ç· çµãããšãšãŸã¡ããŸãLv.29äºä»¶äž¡æ¹ãçºçãã | fact1: ({C} & {B}) -> ¬{D} fact2: {E} fact3: {C} fact4: ¬{C} -> ¬(¬{B} & {A}) fact5: ({E} & ¬{D}) -> {F} fact6: ({A} & {B}) | [
"fact6 -> int1: ããŸã¡ããŸãLv.29äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã§ãã; int1 & fact3 -> int2: ããããLv.51äºä»¶ãèµ·ãããããŸãã«ãŸã¡ããŸãLv.29äºä»¶ãçãã; int2 & fact1 -> int3: ãœããœãLv.64äºä»¶ã¯èµ·ããªã; int3 & fact2 -> int4: ããããLv.56äºä»¶ãèµ·ããããœããœãLv.64äºä»¶ã¯çºçããªã; int4 & fact5 -> hypothesis;"
] | [
"fact6 -> int1: {B}; int1 & fact3 -> int2: ({C} & {B}); int2 & fact1 -> int3: ¬{D}; int3 & fact2 -> int4: ({E} & ¬{D}); int4 & fact5 -> hypothesis;"
] | ãããªããšããããšã¯èµ·ããªã | ¬{F} | [] | 6 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããLv.51äºä»¶ããã³ãŸã¡ããŸãLv.29äºä»¶ãçºçããããšããããšã¯ããœããœãLv.64äºä»¶ãçããããšããããšãåé¿ãã fact2: ããããLv.56äºä»¶ãèµ·ãã fact3: ããããLv.51äºä»¶ãçãã fact4: ããä»®ã«ããããLv.51äºä»¶ã¯èµ·ããªããªãã°ããŸã¡ããŸãLv.29äºä»¶ã¯èµ·ãããªããã©ç· çµãããšãèµ·ããããšããããšã¯ç¢ºãã§ãªã fact5: ãããããLv.56äºä»¶ãçããããœããœãLv.64äºä»¶ã¯èµ·ãããªãããšããããšã¯ãããªããšããããšã¯èµ·ããªããšããããšãé»æ¢ãã fact6: ç· çµãããšãšãŸã¡ããŸãLv.29äºä»¶äž¡æ¹ãçºçãã ; $hypothesis$ = ãããªããšããããšã¯èµ·ããªã ; $proof$ = | fact6 -> int1: ããŸã¡ããŸãLv.29äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã§ãã; int1 & fact3 -> int2: ããããLv.51äºä»¶ãèµ·ãããããŸãã«ãŸã¡ããŸãLv.29äºä»¶ãçãã; int2 & fact1 -> int3: ãœããœãLv.64äºä»¶ã¯èµ·ããªã; int3 & fact2 -> int4: ããããLv.56äºä»¶ãèµ·ããããœããœãLv.64äºä»¶ã¯çºçããªã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({C} & {B}) -> ¬{D} fact2: {E} fact3: {C} fact4: ¬{C} -> ¬(¬{B} & {A}) fact5: ({E} & ¬{D}) -> {F} fact6: ({A} & {B}) ; $hypothesis$ = ¬{F} ; $proof$ = | fact6 -> int1: {B}; int1 & fact3 -> int2: ({C} & {B}); int2 & fact1 -> int3: ¬{D}; int3 & fact2 -> int4: ({E} & ¬{D}); int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | èºãæããããšãèµ·ãããããŸãã«ç¥ã
ãããšããããšãçºçãã | ({C} & {B}) | fact1: ãã«ããã®Lv.16äºä»¶ããŸã®ãŸã¡ãLv.38äºä»¶ã¯çããªããšããããšãåé¿ãã fact2: ãèšãåºãé£ããšããããšãçããããšããããšã¯ç¥ã
ãããšããããšãçãããšããããšã®ãã£ãããšãªã fact3: èºãæããããšã¯ãœã«ã
ãœãLv.82äºä»¶ã«é»æ¢ããã fact4: èšãåºãé£ããšããããšãèµ·ãã fact5: èºãæããããšãèµ·ãã | fact1: {CF} -> {FS} fact2: {A} -> {B} fact3: {D} -> ¬{C} fact4: {A} fact5: {C} | [
"fact2 & fact4 -> int1: ç¥ã
ãããšããããšãèµ·ãã; int1 & fact5 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: {B}; int1 & fact5 -> hypothesis;"
] | ç¥ãåãããããšããããšãèµ·ãã | {AC} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã«ããã®Lv.16äºä»¶ããŸã®ãŸã¡ãLv.38äºä»¶ã¯çããªããšããããšãåé¿ãã fact2: ãèšãåºãé£ããšããããšãçããããšããããšã¯ç¥ã
ãããšããããšãçãããšããããšã®ãã£ãããšãªã fact3: èºãæããããšã¯ãœã«ã
ãœãLv.82äºä»¶ã«é»æ¢ããã fact4: èšãåºãé£ããšããããšãèµ·ãã fact5: èºãæããããšãèµ·ãã ; $hypothesis$ = èºãæããããšãèµ·ãããããŸãã«ç¥ã
ãããšããããšãçºçãã ; $proof$ = | fact2 & fact4 -> int1: ç¥ã
ãããšããããšãèµ·ãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {CF} -> {FS} fact2: {A} -> {B} fact3: {D} -> ¬{C} fact4: {A} fact5: {C} ; $hypothesis$ = ({C} & {B}) ; $proof$ = | fact2 & fact4 -> int1: {B}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãã·ãLv.2ã¯éãŸãæã | {B}{b} | fact1: ããããã®ãœããœãªLv.94ã¯æ
ãŸãããªããšããã°ããã®ã·ãã·ãLv.2ã¯è²¶ããå»ããªãããšããããšã¯ééã£ãŠãã fact2: å
¥ãé£ããªããéãŸãæããªãããããã¯äž¡æ¹ã§ããã¢ã³ã¹ã¿ãŒã¯éãŸãæããªã fact3: ãã®ãœããœãªLv.94ã¯æ
ãŸãããªã fact4: ãããã®ãœããœãªLv.94ã¯æ
ãŸãããªããšããã°ããã®ã·ãã·ãLv.2ã¯è²¶ãŸãªããŠããã«å»ããªãããšããããšã¯èª€ãã§ãã fact5: ãããããã®ã·ãã·ãLv.2ã¯è²¶ãŸãªããŠããã«å»ããªãããšããããšã¯äºå®ã§ãªããšãããšãã®ã·ãã·ãLv.2ã¯éãŸãæã fact6: ãããã®ãœããœãªLv.94ã¯æ
ãŸãããšããããšã¯ãªããšãããããã®ã·ãã·ãLv.2ã¯è²¶ãŸãªãããããããã¯å»ãããšããããšã¯åã | fact1: ¬{A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact2: (x): (¬{C}x v ¬{B}x) -> ¬{B}x fact3: ¬{A}{a} fact4: ¬{A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact5: ¬(¬{AA}{b} & ¬{AB}{b}) -> {B}{b} fact6: ¬{A}{a} -> ¬(¬{AA}{b} & {AB}{b}) | [
"fact4 & fact3 -> int1: ããã®ã·ãã·ãLv.2ã¯è²¶ãŸãªããŠå»ããªãããšããããšã¯çå®ã§ãªã; int1 & fact5 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact5 -> hypothesis;"
] | ãã®ã·ãã·ãLv.2ã¯éãŸãæããªã | ¬{B}{b} | [
"fact7 -> int2: ããããã®ã·ãã·ãLv.2ãå
¥ãé£ããšããããšã¯ãªããéãŸãæããªããšããããã®ã·ãã·ãLv.2ã¯éãŸãæããªã;"
] | 4 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãœããœãªLv.94ã¯æ
ãŸãããªããšããã°ããã®ã·ãã·ãLv.2ã¯è²¶ããå»ããªãããšããããšã¯ééã£ãŠãã fact2: å
¥ãé£ããªããéãŸãæããªãããããã¯äž¡æ¹ã§ããã¢ã³ã¹ã¿ãŒã¯éãŸãæããªã fact3: ãã®ãœããœãªLv.94ã¯æ
ãŸãããªã fact4: ãããã®ãœããœãªLv.94ã¯æ
ãŸãããªããšããã°ããã®ã·ãã·ãLv.2ã¯è²¶ãŸãªããŠããã«å»ããªãããšããããšã¯èª€ãã§ãã fact5: ãããããã®ã·ãã·ãLv.2ã¯è²¶ãŸãªããŠããã«å»ããªãããšããããšã¯äºå®ã§ãªããšãããšãã®ã·ãã·ãLv.2ã¯éãŸãæã fact6: ãããã®ãœããœãªLv.94ã¯æ
ãŸãããšããããšã¯ãªããšãããããã®ã·ãã·ãLv.2ã¯è²¶ãŸãªãããããããã¯å»ãããšããããšã¯åã ; $hypothesis$ = ãã®ã·ãã·ãLv.2ã¯éãŸãæã ; $proof$ = | fact4 & fact3 -> int1: ããã®ã·ãã·ãLv.2ã¯è²¶ãŸãªããŠå»ããªãããšããããšã¯çå®ã§ãªã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact2: (x): (¬{C}x v ¬{B}x) -> ¬{B}x fact3: ¬{A}{a} fact4: ¬{A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact5: ¬(¬{AA}{b} & ¬{AB}{b}) -> {B}{b} fact6: ¬{A}{a} -> ¬(¬{AA}{b} & {AB}{b}) ; $hypothesis$ = {B}{b} ; $proof$ = | fact4 & fact3 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact5 -> hypothesis; __PROVED__ |
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