version
stringclasses 1
value | hypothesis
stringlengths 8
80
| hypothesis_formula
stringclasses 314
values | facts
stringlengths 16
591
| facts_formula
stringlengths 10
292
| proofs
sequencelengths 0
1
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sequencelengths 0
1
| negative_hypothesis
stringlengths 9
90
â | negative_hypothesis_formula
stringlengths 3
36
â | negative_proofs
sequencelengths 0
1
| negative_original_tree_depth
int64 0
18
â | original_tree_steps
int64 1
2
| original_tree_depth
int64 1
2
| steps
int64 1
2
â | depth
int64 1
2
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 73
668
| proof_serial
stringlengths 11
144
| prompt_serial_formula
stringlengths 54
351
| proof_serial_formula
stringlengths 11
95
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ãã匱ããšããããšãçããããšããããšã¯æ¬åœã§ãã | {C} | fact1: ã匱ããšããããšã¯çãŒããšããããšã«é²ããã fact2: 察ç«ããããšã¯èµ·ãããªããªãã°ãæ¥æããšããããšãèµ·ããããã«ã
ãã¡ã
Lv.9äºä»¶ã¯çºçããªãããšããããšã¯æãç«ããªã fact3: ãããæ»æ«ããããšãèµ·ããããŸãã¯çãŒããšããããšãèµ·ãããã©ã¡ããã ãšãããã匱ããšããããšã¯èµ·ãããªã fact4: ä»®ã«ãæ¥æããšããããšãçããããã«ã
ãã¡ã
Lv.9äºä»¶ã¯èµ·ããªãããšããããšã¯ééã£ãŠãããšãããšãæãŸãããšããããšã¯çºçããªãããšããããšã¯æ¬åœã fact5: ããŸããŸã«ãLv.93äºä»¶ã¯çºçããããããã¯ãŽããŽã«Lv.70äºä»¶ã¯èµ·ããªãããããã¯äž¡æ¹ã ããšããããšã¯ãæãŸãããšããããšã¯çºçããªãããšããããšã«åŒãèµ·ãããã | fact1: {B} -> ¬{C} fact2: ¬{I} -> ¬({G} & ¬{H}) fact3: ({A} v {B}) -> ¬{C} fact4: ¬({G} & ¬{H}) -> ¬{F} fact5: ¬{F} -> ({D} v ¬{E}) | [] | [] | ãã匱ããšããããšãçããããšããããšã¯æ¬åœã§ãã | {C} | [] | 8 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã匱ããšããããšã¯çãŒããšããããšã«é²ããã fact2: 察ç«ããããšã¯èµ·ãããªããªãã°ãæ¥æããšããããšãèµ·ããããã«ã
ãã¡ã
Lv.9äºä»¶ã¯çºçããªãããšããããšã¯æãç«ããªã fact3: ãããæ»æ«ããããšãèµ·ããããŸãã¯çãŒããšããããšãèµ·ãããã©ã¡ããã ãšãããã匱ããšããããšã¯èµ·ãããªã fact4: ä»®ã«ãæ¥æããšããããšãçããããã«ã
ãã¡ã
Lv.9äºä»¶ã¯èµ·ããªãããšããããšã¯ééã£ãŠãããšãããšãæãŸãããšããããšã¯çºçããªãããšããããšã¯æ¬åœã fact5: ããŸããŸã«ãLv.93äºä»¶ã¯çºçããããããã¯ãŽããŽã«Lv.70äºä»¶ã¯èµ·ããªãããããã¯äž¡æ¹ã ããšããããšã¯ãæãŸãããšããããšã¯çºçããªãããšããããšã«åŒãèµ·ãããã ; $hypothesis$ = ãã匱ããšããããšãçããããšããããšã¯æ¬åœã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} -> ¬{C} fact2: ¬{I} -> ¬({G} & ¬{H}) fact3: ({A} v {B}) -> ¬{C} fact4: ¬({G} & ¬{H}) -> ¬{F} fact5: ¬{F} -> ({D} v ¬{E}) ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ããŽãLv.97ã¯èšè«ãããããã«éãç¶ãã | ({B}{b} & {C}{b}) | fact1: ãã®ãŽã«ããŽãLv.97ã¯éãç¶ãã fact2: ãã®ã¿ãã¿ãLv.19ã¯åãèŸã fact3: ããããã®ã¿ãã¿ãLv.19ãåãèŸããšããã°ãã®ãŽã«ããŽãLv.97ã¯èšè«ãã | fact1: {C}{b} fact2: {A}{a} fact3: {A}{a} -> {B}{b} | [
"fact3 & fact2 -> int1: ãã®ãŽã«ããŽãLv.97ã¯èšè«ãã; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}{b}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽã«ããŽãLv.97ã¯éãç¶ãã fact2: ãã®ã¿ãã¿ãLv.19ã¯åãèŸã fact3: ããããã®ã¿ãã¿ãLv.19ãåãèŸããšããã°ãã®ãŽã«ããŽãLv.97ã¯èšè«ãã ; $hypothesis$ = ãã®ãŽã«ããŽãLv.97ã¯èšè«ãããããã«éãç¶ãã ; $proof$ = | fact3 & fact2 -> int1: ãã®ãŽã«ããŽãLv.97ã¯èšè«ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{b} fact2: {A}{a} fact3: {A}{a} -> {B}{b} ; $hypothesis$ = ({B}{b} & {C}{b}) ; $proof$ = | fact3 & fact2 -> int1: {B}{b}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãœãªãœã«ãLv.96ã¯çšç¡ããŠããã¯é·ãããšããããšã¯æãç«ããªã | ¬({B}{a} & {C}{a}) | fact1: ãã®ãœãªãœã«ãLv.96ã¯é·ã fact2: ãã®ãœãªãœã«ãLv.96ã¯èœã¡æã fact3: ä»®ã«ãã®ãœãªãœã«ãLv.96ãèœã¡æããšããã°ãã®ãœãªãœã«ãLv.96ã¯çšç¡ã fact4: ããããšããã¢ã³ã¹ã¿ãŒã¯èœã¡æããšããããšã¯ãªããªããçšç¡ããŠãŸãé·ãããšããããšã¯äºå®ãšç°ãªã | fact1: {C}{a} fact2: {A}{a} fact3: {A}{a} -> {B}{a} fact4: (x): ¬{A}x -> ¬({B}x & {C}x) | [
"fact3 & fact2 -> int1: ãã®ãœãªãœã«ãLv.96ã¯çšç¡ã; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ããã®ãœãªãœã«ãLv.96ã¯çšç¡ããŠããã¯é·ãããšããããšã¯æãç«ããªã | ¬({B}{a} & {C}{a}) | [
"fact5 -> int2: ããããã®ã·ã¡ãã·ãLv.26ã¯èœã¡æããªããªãããã®ã·ã¡ãã·ãLv.26ã¯çšç¡ããŠããã¯é·ãããšããããšã¯ééã£ãŠãã;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãœãªãœã«ãLv.96ã¯é·ã fact2: ãã®ãœãªãœã«ãLv.96ã¯èœã¡æã fact3: ä»®ã«ãã®ãœãªãœã«ãLv.96ãèœã¡æããšããã°ãã®ãœãªãœã«ãLv.96ã¯çšç¡ã fact4: ããããšããã¢ã³ã¹ã¿ãŒã¯èœã¡æããšããããšã¯ãªããªããçšç¡ããŠãŸãé·ãããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = ããã®ãœãªãœã«ãLv.96ã¯çšç¡ããŠããã¯é·ãããšããããšã¯æãç«ããªã ; $proof$ = | fact3 & fact2 -> int1: ãã®ãœãªãœã«ãLv.96ã¯çšç¡ã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} fact2: {A}{a} fact3: {A}{a} -> {B}{a} fact4: (x): ¬{A}x -> ¬({B}x & {C}x) ; $hypothesis$ = ¬({B}{a} & {C}{a}) ; $proof$ = | fact3 & fact2 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããLv.61ã¯æ°ãã | {C}{b} | fact1: ãããã®ã¿ãã¿ã¡ãLv.13ãåšéãããããŸãã«ãããæ°ãããšãããšãã®ããããLv.61ã¯çœ¹æ£ãæããªã fact2: ãã®ãŽããŽã¡ãLv.9ã¯æ°ãã fact3: ãã®ããããLv.61ã¯åšéãã fact4: ä»®ã«ãã®ããããLv.61ãåšéããããŸã眹æ£ãæããªãã°ãã®ã¿ãã¿ã¡ãLv.13ã¯æ°ãããªã fact5: ããããã®ã¿ãã¿ã¡ãLv.13ã眹æ£ãæããåšéãããšããã°ãã®ããããLv.61ã¯æ°ãããªã fact6: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãåšéããªããªãããã¯æ°ãããŠãŸã眹æ£ãæã fact7: ãã®ã¿ãã¿ã¡ãLv.13ã¯çœ¹æ£ãæã fact8: ãã®ã¿ãã¿ã¡ãLv.13ã¯åšéãã | fact1: ({B}{a} & {C}{a}) -> ¬{A}{b} fact2: {C}{aa} fact3: {B}{b} fact4: ({B}{b} & {A}{b}) -> ¬{C}{a} fact5: ({A}{a} & {B}{a}) -> ¬{C}{b} fact6: (x): ¬{B}x -> ({C}x & {A}x) fact7: {A}{a} fact8: {B}{a} | [
"fact7 & fact8 -> int1: ãã®ã¿ãã¿ã¡ãLv.13ã¯çœ¹æ£ãæããæŽã«åšéãã; int1 & fact5 -> hypothesis;"
] | [
"fact7 & fact8 -> int1: ({A}{a} & {B}{a}); int1 & fact5 -> hypothesis;"
] | ãã®ããããLv.61ã¯æ°ãã | {C}{b} | [
"fact9 -> int2: ãããã®ããããLv.61ãåšéããªããªããã®ããããLv.61ãæ°ããããã®äžããã¯çœ¹æ£ãæã;"
] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ã¿ãã¿ã¡ãLv.13ãåšéãããããŸãã«ãããæ°ãããšãããšãã®ããããLv.61ã¯çœ¹æ£ãæããªã fact2: ãã®ãŽããŽã¡ãLv.9ã¯æ°ãã fact3: ãã®ããããLv.61ã¯åšéãã fact4: ä»®ã«ãã®ããããLv.61ãåšéããããŸã眹æ£ãæããªãã°ãã®ã¿ãã¿ã¡ãLv.13ã¯æ°ãããªã fact5: ããããã®ã¿ãã¿ã¡ãLv.13ã眹æ£ãæããåšéãããšããã°ãã®ããããLv.61ã¯æ°ãããªã fact6: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãåšéããªããªãããã¯æ°ãããŠãŸã眹æ£ãæã fact7: ãã®ã¿ãã¿ã¡ãLv.13ã¯çœ¹æ£ãæã fact8: ãã®ã¿ãã¿ã¡ãLv.13ã¯åšéãã ; $hypothesis$ = ãã®ããããLv.61ã¯æ°ãã ; $proof$ = | fact7 & fact8 -> int1: ãã®ã¿ãã¿ã¡ãLv.13ã¯çœ¹æ£ãæããæŽã«åšéãã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({B}{a} & {C}{a}) -> ¬{A}{b} fact2: {C}{aa} fact3: {B}{b} fact4: ({B}{b} & {A}{b}) -> ¬{C}{a} fact5: ({A}{a} & {B}{a}) -> ¬{C}{b} fact6: (x): ¬{B}x -> ({C}x & {A}x) fact7: {A}{a} fact8: {B}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact7 & fact8 -> int1: ({A}{a} & {B}{a}); int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ãã¿ãLv.42ã¯åžåããé£ããªã | ¬{C}{a} | fact1: ããã®ãœã«ããœã«ã
Lv.39ã¯èšãåºãããããã¯ãããŸããããããã¯äž¡æ¹ã§ããããšããããšã¯äºå®ãšç°ãªã fact2: ããããã®ãœã«ããœã«ã
Lv.39ã¯èšãåºããããã¯ãããŸããããŸãã¯ã©ã¡ããã ããšããããšã¯èª€ãã§ãããšããããã®ãœã«ããœã«ã
Lv.39ã¯å°ãç«ããªã fact3: ããä»®ã«ãã®ã¿ãã¿ãLv.42ãæã¡äžãããããã¯ç³è«ãããšããããåžåããé£ããªãããšããããšã¯æ¬åœã§ãã fact4: ããä»®ã«ãã®ã·ã«ã·ã¡ãLv.93ã¯æã¡äžããã°ããã®ãœãªãœãLv.6ã¯æã¡äžããããšããããšã¯æ£ãã fact5: ãã®ã¿ãã¿ãLv.42ã¯ç³è«ãã fact6: ããä»®ã«èã
ãæãã¢ã³ã¹ã¿ãŒãåžåããé£ããªãç®èŠãŸãããªã fact7: ãã®ã¿ãã¿ãLv.42ã¯æã¡äžãã fact8: ãã®ãããã¡ãLv.35ã¯ç³è«ããããã€è§£ãæã | fact1: ¬({G}{d} v {F}{d}) fact2: ¬({G}{d} v {F}{d}) -> ¬{E}{d} fact3: ({A}{a} & {B}{a}) -> ¬{C}{a} fact4: {A}{c} -> {A}{b} fact5: {B}{a} fact6: (x): ({JH}x & {C}x) -> ¬{CB}x fact7: {A}{a} fact8: ({B}{fp} & {BO}{fp}) | [
"fact7 & fact5 -> int1: ãã®ã¿ãã¿ãLv.42ã¯æã¡äžãããããŸãã«ç³è«ãã; int1 & fact3 -> hypothesis;"
] | [
"fact7 & fact5 -> int1: ({A}{a} & {B}{a}); int1 & fact3 -> hypothesis;"
] | ããããã®ãŸã«ãŸã«Lv.35ã¯èã
ãæããåžåããé£ããªãããã¯ç®èŠãŸãããªã | ({JH}{ab} & {C}{ab}) -> ¬{CB}{ab} | [
"fact9 -> hypothesis;"
] | 1 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ããã®ãœã«ããœã«ã
Lv.39ã¯èšãåºãããããã¯ãããŸããããããã¯äž¡æ¹ã§ããããšããããšã¯äºå®ãšç°ãªã fact2: ããããã®ãœã«ããœã«ã
Lv.39ã¯èšãåºããããã¯ãããŸããããŸãã¯ã©ã¡ããã ããšããããšã¯èª€ãã§ãããšããããã®ãœã«ããœã«ã
Lv.39ã¯å°ãç«ããªã fact3: ããä»®ã«ãã®ã¿ãã¿ãLv.42ãæã¡äžãããããã¯ç³è«ãããšããããåžåããé£ããªãããšããããšã¯æ¬åœã§ãã fact4: ããä»®ã«ãã®ã·ã«ã·ã¡ãLv.93ã¯æã¡äžããã°ããã®ãœãªãœãLv.6ã¯æã¡äžããããšããããšã¯æ£ãã fact5: ãã®ã¿ãã¿ãLv.42ã¯ç³è«ãã fact6: ããä»®ã«èã
ãæãã¢ã³ã¹ã¿ãŒãåžåããé£ããªãç®èŠãŸãããªã fact7: ãã®ã¿ãã¿ãLv.42ã¯æã¡äžãã fact8: ãã®ãããã¡ãLv.35ã¯ç³è«ããããã€è§£ãæã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.42ã¯åžåããé£ããªã ; $proof$ = | fact7 & fact5 -> int1: ãã®ã¿ãã¿ãLv.42ã¯æã¡äžãããããŸãã«ç³è«ãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({G}{d} v {F}{d}) fact2: ¬({G}{d} v {F}{d}) -> ¬{E}{d} fact3: ({A}{a} & {B}{a}) -> ¬{C}{a} fact4: {A}{c} -> {A}{b} fact5: {B}{a} fact6: (x): ({JH}x & {C}x) -> ¬{CB}x fact7: {A}{a} fact8: ({B}{fp} & {BO}{fp}) ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact7 & fact5 -> int1: ({A}{a} & {B}{a}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã¡ã
ãã®Lv.88ã¯é
žåãé£ããåãåŸãããããã¯ã©ã¡ããã | ({B}{a} v {C}{a}) | fact1: ãã®ãã¡ã
ãã®Lv.88ã¯æããæã fact2: ãã®ãã¡ã
ãã®Lv.88ã¯æããæãããã®äžé
žåãé£ã | fact1: {A}{a} fact2: ({A}{a} & {B}{a}) | [
"fact2 -> int1: ãã®ãã¡ã
ãã®Lv.88ã¯é
žåãé£ã; int1 -> hypothesis;"
] | [
"fact2 -> int1: {B}{a}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãã¡ã
ãã®Lv.88ã¯æããæã fact2: ãã®ãã¡ã
ãã®Lv.88ã¯æããæãããã®äžé
žåãé£ã ; $hypothesis$ = ãã®ãã¡ã
ãã®Lv.88ã¯é
žåãé£ããåãåŸãããããã¯ã©ã¡ããã ; $proof$ = | fact2 -> int1: ãã®ãã¡ã
ãã®Lv.88ã¯é
žåãé£ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: ({A}{a} & {B}{a}) ; $hypothesis$ = ({B}{a} v {C}{a}) ; $proof$ = | fact2 -> int1: {B}{a}; int1 -> hypothesis; __PROVED__ |
0.3 | ããŽããŽãLv.30äºä»¶ãèµ·ããããŽã«ããŽã«ãLv.2äºä»¶ãçããããšããããšã¯ééã£ãŠãã | ¬({C} & {A}) | fact1: ãŽã«ããŽã«ãLv.2äºä»¶ãçãããæãããããšããããšãèµ·ãã | fact1: ({A} & {B}) | [
"fact1 -> int1: ãŽã«ããŽã«ãLv.2äºä»¶ãçºçãã;"
] | [
"fact1 -> int1: {A};"
] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãŽã«ããŽã«ãLv.2äºä»¶ãçãããæãããããšããããšãèµ·ãã ; $hypothesis$ = ããŽããŽãLv.30äºä»¶ãèµ·ããããŽã«ããŽã«ãLv.2äºä»¶ãçããããšããããšã¯ééã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) ; $hypothesis$ = ¬({C} & {A}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãå¡©ã£èŸããšããããšãèµ·ããããšããããšã¯æ¬åœã | {C} | fact1: èŠãæããšããããšãèµ·ãã fact2: èãæãããšãçºçãã fact3: ä»®ã«èãåãããããšãèµ·ããããã€éãæããšããããšãçãããšããããœã«ãœãLv.90äºä»¶ã¯èµ·ãããªã fact4: ãèŠãæããšããããšãèµ·ããããããã·ã«ã
ã·ãLv.14äºä»¶ãèµ·ããããšããããšã¯å¡©ã£èŸããšããããšãé»æ¢ãã fact5: ãèŠãæããšããããšããã³å¡©ã£èŸããšããããšã©ã¡ãããçºçããããšããããšã¯ã·ã«ã
ã·ãLv.14äºä»¶ã¯èµ·ããªããšããããšã«ããçºçãã | fact1: {A} fact2: {S} fact3: ({HI} & {EM}) -> ¬{O} fact4: ({A} & {B}) -> ¬{C} fact5: ¬{B} -> ({A} & {C}) | [] | [] | ãå¡©ã£èŸããšããããšãèµ·ããããšããããšã¯æ¬åœã | {C} | [] | 6 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: èŠãæããšããããšãèµ·ãã fact2: èãæãããšãçºçãã fact3: ä»®ã«èãåãããããšãèµ·ããããã€éãæããšããããšãçãããšããããœã«ãœãLv.90äºä»¶ã¯èµ·ãããªã fact4: ãèŠãæããšããããšãèµ·ããããããã·ã«ã
ã·ãLv.14äºä»¶ãèµ·ããããšããããšã¯å¡©ã£èŸããšããããšãé»æ¢ãã fact5: ãèŠãæããšããããšããã³å¡©ã£èŸããšããããšã©ã¡ãããçºçããããšããããšã¯ã·ã«ã
ã·ãLv.14äºä»¶ã¯èµ·ããªããšããããšã«ããçºçãã ; $hypothesis$ = ãå¡©ã£èŸããšããããšãèµ·ããããšããããšã¯æ¬åœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: {S} fact3: ({HI} & {EM}) -> ¬{O} fact4: ({A} & {B}) -> ¬{C} fact5: ¬{B} -> ({A} & {C}) ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã¡ããŽãLv.74ã¯è
«ããŒã£ãããªã | ¬{C}{b} | fact1: ããä»®ã«ãã®ãŽããŽãLv.0ãæµãç¶ããªãããã®äžéé£ããŸãããšããããšã¯ãªããšããããã®ãŽã¡ããŽãLv.74ã¯è
«ããŒã£ãã fact2: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯è
«ããŒã£ãããªãããŸãã¯æµãç¶ãããšããããšã¯ãªãããããã¯äž¡æ¹ã§ãããªãã°ããã¯æµãç¶ããªã fact3: ãã®ãŽããŽãLv.0ã¯æµãç¶ãããšããããšã¯ãªã fact4: ããä»®ã«ãã®ãŽããŽãLv.0ã人æãããªããã®ãŽã¡ããŽãLv.74ã¯èªè¡åºæ¥ãªããéé£ããŸãããªã | fact1: (¬{A}{a} & ¬{B}{a}) -> {C}{b} fact2: (x): (¬{C}x v ¬{A}x) -> ¬{A}x fact3: ¬{A}{a} fact4: {E}{a} -> (¬{D}{b} & ¬{B}{b}) | [] | [] | ãã®ãŽã¡ããŽãLv.74ã¯è
«ããŒã£ãããªã | ¬{C}{b} | [] | 5 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽãLv.0ãæµãç¶ããªãããã®äžéé£ããŸãããšããããšã¯ãªããšããããã®ãŽã¡ããŽãLv.74ã¯è
«ããŒã£ãã fact2: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯è
«ããŒã£ãããªãããŸãã¯æµãç¶ãããšããããšã¯ãªãããããã¯äž¡æ¹ã§ãããªãã°ããã¯æµãç¶ããªã fact3: ãã®ãŽããŽãLv.0ã¯æµãç¶ãããšããããšã¯ãªã fact4: ããä»®ã«ãã®ãŽããŽãLv.0ã人æãããªããã®ãŽã¡ããŽãLv.74ã¯èªè¡åºæ¥ãªããéé£ããŸãããªã ; $hypothesis$ = ãã®ãŽã¡ããŽãLv.74ã¯è
«ããŒã£ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{A}{a} & ¬{B}{a}) -> {C}{b} fact2: (x): (¬{C}x v ¬{A}x) -> ¬{A}x fact3: ¬{A}{a} fact4: {E}{a} -> (¬{D}{b} & ¬{B}{b}) ; $hypothesis$ = ¬{C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ããããLv.51ã¯é¢çœããããããšããããšã¯ç¢ºãã§ãã | {B}{b} | fact1: ããä»®ã«ãã®ãœããœãLv.63ã¯èžèŠãããªãã°ããã®ããããLv.51ã¯é¢çœããããããšããããšã¯äºå®ã fact2: ä»®ã«é¢çœãããããªãã¢ã³ã¹ã¿ãŒãè¿·æããªããªãã°ãã®ããããLv.51ã¯é¢çœãããããªã fact3: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãè¿·æãããšãããšé¢çœãããã fact4: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯å°ããªãããããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªããªãããã¯ææ¡ãé£ããªã fact5: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒãææ¡ãé£ããªããªããããè¿·æããããã®äžæ¯éç¡ã fact6: ä»®ã«ããã¢ã³ã¹ã¿ãŒãé¢çœãããããšããã°ããã¯èžèŠãã | fact1: {A}{a} -> {B}{b} fact2: (x): (¬{B}x & ¬{C}x) -> ¬{B}{b} fact3: (x): {C}x -> {B}x fact4: (x): ¬(¬{G}x & {F}x) -> ¬{E}x fact5: (x): ¬{E}x -> ({C}x & {D}x) fact6: (x): {B}x -> {A}x | [] | [] | ãã®ããããLv.51ã¯é¢çœãããããšããããšã¯ãªã | ¬{B}{b} | [] | 8 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãœããœãLv.63ã¯èžèŠãããªãã°ããã®ããããLv.51ã¯é¢çœããããããšããããšã¯äºå®ã fact2: ä»®ã«é¢çœãããããªãã¢ã³ã¹ã¿ãŒãè¿·æããªããªãã°ãã®ããããLv.51ã¯é¢çœãããããªã fact3: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãè¿·æãããšãããšé¢çœãããã fact4: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯å°ããªãããããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªããªãããã¯ææ¡ãé£ããªã fact5: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒãææ¡ãé£ããªããªããããè¿·æããããã®äžæ¯éç¡ã fact6: ä»®ã«ããã¢ã³ã¹ã¿ãŒãé¢çœãããããšããã°ããã¯èžèŠãã ; $hypothesis$ = ããã®ããããLv.51ã¯é¢çœããããããšããããšã¯ç¢ºãã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: (x): (¬{B}x & ¬{C}x) -> ¬{B}{b} fact3: (x): {C}x -> {B}x fact4: (x): ¬(¬{G}x & {F}x) -> ¬{E}x fact5: (x): ¬{E}x -> ({C}x & {D}x) fact6: (x): {B}x -> {A}x ; $hypothesis$ = {B}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŽã¡ããŽãLv.50äºä»¶ã¯çããªã | ¬{C} | fact1: äœæäœæãããšããããšãçãã fact2: çãããšã¯ãå¿ç¡ããšããããšããã³ãœããœãLv.21äºä»¶äž¡æ¹ãèµ·ããããšããããšã«é»ãŸãã fact3: èŠåæ£ãããšããããšã¯èµ·ããªã fact4: ããããœããœãLv.76äºä»¶ãçãããã·ã¡ãã·ã¡ã
Lv.89äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããŽã¡ããŽãLv.50äºä»¶ã¯çºçããªã fact5: ãã·ã¡ãã·ã¡ã
Lv.89äºä»¶ãçããããšããããšã¯æãç«ã€ fact6: ãœããœãLv.76äºä»¶ãèµ·ãã fact7: ããä»®ã«ã·ã¡ãã·ã¡ã
Lv.89äºä»¶ã¯çºçããªããªãã°ãŽã¡ããŽãLv.50äºä»¶ãšãœããœãLv.76äºä»¶äž¡æ¹ãšããçãã | fact1: {IC} fact2: ({GM} & {AC}) -> ¬{JI} fact3: ¬{CD} fact4: ({A} & {B}) -> ¬{C} fact5: {B} fact6: {A} fact7: ¬{B} -> ({C} & {A}) | [
"fact6 & fact5 -> int1: ãœããœãLv.76äºä»¶ããã³ã·ã¡ãã·ã¡ã
Lv.89äºä»¶ãèµ·ãã; int1 & fact4 -> hypothesis;"
] | [
"fact6 & fact5 -> int1: ({A} & {B}); int1 & fact4 -> hypothesis;"
] | ãŽã¡ããŽãLv.50äºä»¶ãçºçãã | {C} | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: äœæäœæãããšããããšãçãã fact2: çãããšã¯ãå¿ç¡ããšããããšããã³ãœããœãLv.21äºä»¶äž¡æ¹ãèµ·ããããšããããšã«é»ãŸãã fact3: èŠåæ£ãããšããããšã¯èµ·ããªã fact4: ããããœããœãLv.76äºä»¶ãçãããã·ã¡ãã·ã¡ã
Lv.89äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããŽã¡ããŽãLv.50äºä»¶ã¯çºçããªã fact5: ãã·ã¡ãã·ã¡ã
Lv.89äºä»¶ãçããããšããããšã¯æãç«ã€ fact6: ãœããœãLv.76äºä»¶ãèµ·ãã fact7: ããä»®ã«ã·ã¡ãã·ã¡ã
Lv.89äºä»¶ã¯çºçããªããªãã°ãŽã¡ããŽãLv.50äºä»¶ãšãœããœãLv.76äºä»¶äž¡æ¹ãšããçãã ; $hypothesis$ = ãŽã¡ããŽãLv.50äºä»¶ã¯çããªã ; $proof$ = | fact6 & fact5 -> int1: ãœããœãLv.76äºä»¶ããã³ã·ã¡ãã·ã¡ã
Lv.89äºä»¶ãèµ·ãã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {IC} fact2: ({GM} & {AC}) -> ¬{JI} fact3: ¬{CD} fact4: ({A} & {B}) -> ¬{C} fact5: {B} fact6: {A} fact7: ¬{B} -> ({C} & {A}) ; $hypothesis$ = ¬{C} ; $proof$ = | fact6 & fact5 -> int1: ({A} & {B}); int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãçºçãæããšããããšãèµ·ããããŸãã¯ãã§ãŒãã¢ãŠãããããšãèµ·ããããããã¯äž¡æ¹ã ããšããããšã¯æ£ãããªã | ¬({B} v {C}) | fact1: ããä»®ã«çºçãæããšããããšã¯èµ·ãããªããšãããšå€ããæããšããããšãšãŽããŽãLv.87äºä»¶äž¡æ¹ãšããçãã fact2: ãŽããŽãLv.87äºä»¶ãèµ·ãããçºçãæããšããããšãèµ·ãã | fact1: ¬{B} -> ({JF} & {A}) fact2: ({A} & {B}) | [
"fact2 -> int1: çºçãæããšããããšãçãã; int1 -> hypothesis;"
] | [
"fact2 -> int1: {B}; int1 -> hypothesis;"
] | å€ããæããšããããšããããã¯ã¿ã«ã
ã¿ãLv.14äºä»¶ãçºçãã | ({JF} v {ED}) | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«çºçãæããšããããšã¯èµ·ãããªããšãããšå€ããæããšããããšãšãŽããŽãLv.87äºä»¶äž¡æ¹ãšããçãã fact2: ãŽããŽãLv.87äºä»¶ãèµ·ãããçºçãæããšããããšãèµ·ãã ; $hypothesis$ = ãçºçãæããšããããšãèµ·ããããŸãã¯ãã§ãŒãã¢ãŠãããããšãèµ·ããããããã¯äž¡æ¹ã ããšããããšã¯æ£ãããªã ; $proof$ = | fact2 -> int1: çºçãæããšããããšãçãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B} -> ({JF} & {A}) fact2: ({A} & {B}) ; $hypothesis$ = ¬({B} v {C}) ; $proof$ = | fact2 -> int1: {B}; int1 -> hypothesis; __DISPROVED__ |
0.3 | 棹差ãããšããããã¯åŸ¡è©³ãããšããããšãèµ·ãã | ({B} v {C}) | fact1: ã¿ãã¿ãLv.79äºä»¶ããã³æ£¹å·®ãããšäž¡æ¹ãšããèµ·ãã | fact1: ({A} & {B}) | [
"fact1 -> int1: 棹差ãããšãèµ·ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: {B}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ã¿ãã¿ãLv.79äºä»¶ããã³æ£¹å·®ãããšäž¡æ¹ãšããèµ·ãã ; $hypothesis$ = 棹差ãããšããããã¯åŸ¡è©³ãããšããããšãèµ·ãã ; $proof$ = | fact1 -> int1: 棹差ãããšãèµ·ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) ; $hypothesis$ = ({B} v {C}) ; $proof$ = | fact1 -> int1: {B}; int1 -> hypothesis; __PROVED__ |
0.3 | æ ããããšãçãã | {C} | fact1: éã³å
¥ããããšã¯æ ããããšã®åå ãšãªã fact2: åéããæããšããããšã¯éã³å
¥ããããšã®åå ãšãªã fact3: ããããLv.75äºä»¶ãçºçãã fact4: ã·ãã·ã¡ãLv.22äºä»¶ãèµ·ãã fact5: åéããæããšããããšãèµ·ãã | fact1: {B} -> {C} fact2: {A} -> {B} fact3: {CQ} fact4: {BS} fact5: {A} | [
"fact2 & fact5 -> int1: éã³å
¥ããããšãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 & fact5 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: éã³å
¥ããããšã¯æ ããããšã®åå ãšãªã fact2: åéããæããšããããšã¯éã³å
¥ããããšã®åå ãšãªã fact3: ããããLv.75äºä»¶ãçºçãã fact4: ã·ãã·ã¡ãLv.22äºä»¶ãèµ·ãã fact5: åéããæããšããããšãèµ·ãã ; $hypothesis$ = æ ããããšãçãã ; $proof$ = | fact2 & fact5 -> int1: éã³å
¥ããããšãèµ·ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> {C} fact2: {A} -> {B} fact3: {CQ} fact4: {BS} fact5: {A} ; $hypothesis$ = {C} ; $proof$ = | fact2 & fact5 -> int1: {B}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ããããLv.30ã¯è¿ãããšããããšã¯æãç«ã€ | {A}{a} | fact1: ãã®ãŽã«ãŽãLv.82ã¯è¿ã fact2: ãã®ãŽã«ãŽãLv.82ãè¿ããšãããšãã®ããããLv.30ã¯ç°æ±æããã fact3: ããã¯å人ããããããŸãã«ã€ã¹ãããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact4: æãããªãããã®äžããã¯ç°æ±æããããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact5: ä»®ã«ããã®ãŽã«ãŽãLv.82ã¯æãããªãããããç°æ±æãããããšããããšã¯èª€ãã§ãããšããããã®ããããLv.30ã¯è¿ã | fact1: {A}{aa} fact2: {A}{aa} -> {AB}{a} fact3: (x): ¬({BC}x & {CR}x) fact4: (x): ¬(¬{AA}x & {AB}x) fact5: ¬(¬{AA}{aa} & {AB}{aa}) -> {A}{a} | [
"fact4 -> int1: ããã®ãŽã«ãŽãLv.82ã¯æãããªãããã©ç°æ±æãããããšããããšã¯æãç«ããªã; int1 & fact5 -> hypothesis;"
] | [
"fact4 -> int1: ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact5 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽã«ãŽãLv.82ã¯è¿ã fact2: ãã®ãŽã«ãŽãLv.82ãè¿ããšãããšãã®ããããLv.30ã¯ç°æ±æããã fact3: ããã¯å人ããããããŸãã«ã€ã¹ãããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact4: æãããªãããã®äžããã¯ç°æ±æããããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact5: ä»®ã«ããã®ãŽã«ãŽãLv.82ã¯æãããªãããããç°æ±æãããããšããããšã¯èª€ãã§ãããšããããã®ããããLv.30ã¯è¿ã ; $hypothesis$ = ããã®ããããLv.30ã¯è¿ãããšããããšã¯æãç«ã€ ; $proof$ = | fact4 -> int1: ããã®ãŽã«ãŽãLv.82ã¯æãããªãããã©ç°æ±æãããããšããããšã¯æãç«ããªã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{aa} fact2: {A}{aa} -> {AB}{a} fact3: (x): ¬({BC}x & {CR}x) fact4: (x): ¬(¬{AA}x & {AB}x) fact5: ¬(¬{AA}{aa} & {AB}{aa}) -> {A}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | fact4 -> int1: ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã«ãŽãªLv.31ã¯å€ªã | {C}{b} | fact1: ãã®ããããLv.9ãçšé ããªããã®ããããLv.9ã¯çãã fact2: ãã®ã¿ã«ãã¿ã®Lv.96ã¯çšé ã fact3: ãããã®ããããLv.9ãçãããªãã°ãã®ãŽã«ãŽãªLv.31ã¯å€ªããšããããšã¯ãªã fact4: ãã®ããããLv.9ã¯çšé ã | fact1: {A}{a} -> {B}{a} fact2: {A}{bm} fact3: {B}{a} -> ¬{C}{b} fact4: {A}{a} | [
"fact1 & fact4 -> int1: ãã®ããããLv.9ã¯çãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 & fact4 -> int1: {B}{a}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ããããLv.9ãçšé ããªããã®ããããLv.9ã¯çãã fact2: ãã®ã¿ã«ãã¿ã®Lv.96ã¯çšé ã fact3: ãããã®ããããLv.9ãçãããªãã°ãã®ãŽã«ãŽãªLv.31ã¯å€ªããšããããšã¯ãªã fact4: ãã®ããããLv.9ã¯çšé ã ; $hypothesis$ = ãã®ãŽã«ãŽãªLv.31ã¯å€ªã ; $proof$ = | fact1 & fact4 -> int1: ãã®ããããLv.9ã¯çãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: {A}{bm} fact3: {B}{a} -> ¬{C}{b} fact4: {A}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 & fact4 -> int1: {B}{a}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãã«ãããLv.2ã¯æµ
ããªãããšããããšã¯æãç«ã€ | ¬{B}{b} | fact1: ããã®ã¿ã«ãã¿ãLv.31ã¯æµ
ãããšããããšã¯æãç«ã€ fact2: ããããåŸé£ãããã®äžæåŸ
ãé£ããªãããšããããšã¯ééã£ãŠãããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ãœããœã¡ã
Lv.58ã¯å®å µãé£ãããšããããšã¯æ¬åœã§ãã fact3: ãããã®ãœããœã¡ã
Lv.58ãå®å µãé£ããšãããšãã®ãã«ãããLv.2ã¯æµ
ã fact4: ããåŸé£ããŠæåŸ
ãé£ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãæåŸ
ãé£ããªãã°ãã®ãœããœã¡ã
Lv.58ã¯å®å µãé£ã | fact1: {B}{au} fact2: (x): ¬({AA}x & ¬{AB}x) -> {A}{a} fact3: {A}{a} -> {B}{b} fact4: (Ex): ¬({AA}x & ¬{AB}x) fact5: (x): {AB}x -> {A}{a} | [
"fact4 & fact2 -> int1: ãã®ãœããœã¡ã
Lv.58ã¯å®å µãé£ã; int1 & fact3 -> hypothesis;"
] | [
"fact4 & fact2 -> int1: {A}{a}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã®ã¿ã«ãã¿ãLv.31ã¯æµ
ãããšããããšã¯æãç«ã€ fact2: ããããåŸé£ãããã®äžæåŸ
ãé£ããªãããšããããšã¯ééã£ãŠãããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ãœããœã¡ã
Lv.58ã¯å®å µãé£ãããšããããšã¯æ¬åœã§ãã fact3: ãããã®ãœããœã¡ã
Lv.58ãå®å µãé£ããšãããšãã®ãã«ãããLv.2ã¯æµ
ã fact4: ããåŸé£ããŠæåŸ
ãé£ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãæåŸ
ãé£ããªãã°ãã®ãœããœã¡ã
Lv.58ã¯å®å µãé£ã ; $hypothesis$ = ããã®ãã«ãããLv.2ã¯æµ
ããªãããšããããšã¯æãç«ã€ ; $proof$ = | fact4 & fact2 -> int1: ãã®ãœããœã¡ã
Lv.58ã¯å®å µãé£ã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{au} fact2: (x): ¬({AA}x & ¬{AB}x) -> {A}{a} fact3: {A}{a} -> {B}{b} fact4: (Ex): ¬({AA}x & ¬{AB}x) fact5: (x): {AB}x -> {A}{a} ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact4 & fact2 -> int1: {A}{a}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã¡ããŸãLv.1ã¯äœãæããªã | ¬{C}{b} | fact1: ãã®ãŽããŽã«Lv.73ã¯çŽåŸãé£ã fact2: ããä»®ã«ããã®ãŸã¡ããŸãLv.1ã¯äœãæããšããããšã¯ãªããããã¯æšã¿ããŸããããšããããšã¯åã§ãããšãããšãã®ãŽããŽã«Lv.73ã¯äœãæããªã fact3: äœããã®ã¢ã³ã¹ã¿ãŒã¯ãããŸãããšããããšã¯ãªãããããã¯æã¡ããŸããªããã©ã¡ããã§ãããªããããŸãããªã fact4: ä»®ã«ãã®ãŽããŽã«Lv.73ãæšã¿ããŸããããããã¯çŽåŸãé£ãããããã¯ã©ã¡ãããªããã®ãŸã¡ããŸãLv.1ã¯äœãæããšããããšã¯ãªã fact5: ãããŸãããªãã¢ã³ã¹ã¿ãŒã¯å¡©èŸããããŸãã«çŽåŸãé£ã fact6: ããšããã¢ã³ã¹ã¿ãŒã¯çŽåŸãé£ãããšããããšã¯äºå®ã ãšãããšãããã¯äœãæããªãããããæšã¿ããŸããããšããããšã¯èª€ãã§ãã | fact1: {B}{a} fact2: ¬(¬{C}{b} & {A}{b}) -> ¬{C}{a} fact3: (x): (¬{E}x v ¬{F}x) -> ¬{E}x fact4: ({A}{a} v {B}{a}) -> ¬{C}{b} fact5: (x): ¬{E}x -> ({D}x & {B}x) fact6: (x): {B}x -> ¬(¬{C}x & {A}x) | [
"fact1 -> int1: ãã®ãŽããŽã«Lv.73ã¯æšã¿ããŸãããããã¯çŽåŸãé£ã; int1 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: ({A}{a} v {B}{a}); int1 & fact4 -> hypothesis;"
] | ãã®ãŽããŽã«Lv.73ã¯äœãæããªã | ¬{C}{a} | [
"fact7 -> int2: ããããã®ãŸã¡ããŸãLv.1ã¯çŽåŸãé£ããªãã°ããã®ãŸã¡ããŸãLv.1ã¯äœãæããªããã©æšã¿ããŸããããšããããšã¯æãç«ããªã; fact10 -> int3: ããããã®ãŸã¡ããŸãLv.1ããããŸãããªããªãã°ãã®ãŸã¡ããŸãLv.1ã¯å¡©èŸããããŸãã«çŽåŸãé£ã; fact9 -> int4: ä»®ã«ãã®ãŸã¡ããŸãLv.1ããããŸãããªãããŸãã¯ããã¯æã¡ããŸããªãããŸãã¯äž¡æ¹ã§ãããªããããŸãããªã;"
] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽããŽã«Lv.73ã¯çŽåŸãé£ã fact2: ããä»®ã«ããã®ãŸã¡ããŸãLv.1ã¯äœãæããšããããšã¯ãªããããã¯æšã¿ããŸããããšããããšã¯åã§ãããšãããšãã®ãŽããŽã«Lv.73ã¯äœãæããªã fact3: äœããã®ã¢ã³ã¹ã¿ãŒã¯ãããŸãããšããããšã¯ãªãããããã¯æã¡ããŸããªããã©ã¡ããã§ãããªããããŸãããªã fact4: ä»®ã«ãã®ãŽããŽã«Lv.73ãæšã¿ããŸããããããã¯çŽåŸãé£ãããããã¯ã©ã¡ãããªããã®ãŸã¡ããŸãLv.1ã¯äœãæããšããããšã¯ãªã fact5: ãããŸãããªãã¢ã³ã¹ã¿ãŒã¯å¡©èŸããããŸãã«çŽåŸãé£ã fact6: ããšããã¢ã³ã¹ã¿ãŒã¯çŽåŸãé£ãããšããããšã¯äºå®ã ãšãããšãããã¯äœãæããªãããããæšã¿ããŸããããšããããšã¯èª€ãã§ãã ; $hypothesis$ = ãã®ãŸã¡ããŸãLv.1ã¯äœãæããªã ; $proof$ = | fact1 -> int1: ãã®ãŽããŽã«Lv.73ã¯æšã¿ããŸãããããã¯çŽåŸãé£ã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} fact2: ¬(¬{C}{b} & {A}{b}) -> ¬{C}{a} fact3: (x): (¬{E}x v ¬{F}x) -> ¬{E}x fact4: ({A}{a} v {B}{a}) -> ¬{C}{b} fact5: (x): ¬{E}x -> ({D}x & {B}x) fact6: (x): {B}x -> ¬(¬{C}x & {A}x) ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact1 -> int1: ({A}{a} v {B}{a}); int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | æãåããããšããã³èŠé£ããšããããšãèµ·ãã | ({B} & {C}) | fact1: ä»®ã«ãèµ€ããšããããšã¯çºçããªããã¿ãã¿ã¡ã
Lv.57äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ãã ãšãããšãŸã«ãŸãLv.91äºä»¶ã¯èµ·ããªã fact2: ãŸã«ãŸãLv.91äºä»¶ãçãã fact3: ãããããããLv.91äºä»¶ã¯çããªããšããããèµ€ããšããããšã¯èµ·ãããªãããã®äžã¿ãã¿ã¡ã
Lv.57äºä»¶ã¯çããªãããšããããšã¯ééãã§ãã fact4: èŠé£ããšããããšãèµ·ãã fact5: ãŸã«ãŸãLv.91äºä»¶ã¯çããªããªããæãåããããšãšèŠé£ããšããããšãçºçããããšããããšã¯ééãã§ãã | fact1: ¬(¬{E} & ¬{D}) -> ¬{A} fact2: {A} fact3: ¬{F} -> ¬(¬{E} & ¬{D}) fact4: {C} fact5: ¬{A} -> ¬({B} & {C}) | [] | [] | ãæãåããããšãçºçãããèŠé£ããšããããšã¯çºçããããšããããšã¯åã§ãã | ¬({B} & {C}) | [] | 8 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãèµ€ããšããããšã¯çºçããªããã¿ãã¿ã¡ã
Lv.57äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ãã ãšãããšãŸã«ãŸãLv.91äºä»¶ã¯èµ·ããªã fact2: ãŸã«ãŸãLv.91äºä»¶ãçãã fact3: ãããããããLv.91äºä»¶ã¯çããªããšããããèµ€ããšããããšã¯èµ·ãããªãããã®äžã¿ãã¿ã¡ã
Lv.57äºä»¶ã¯çããªãããšããããšã¯ééãã§ãã fact4: èŠé£ããšããããšãèµ·ãã fact5: ãŸã«ãŸãLv.91äºä»¶ã¯çããªããªããæãåããããšãšèŠé£ããšããããšãçºçããããšããããšã¯ééãã§ãã ; $hypothesis$ = æãåããããšããã³èŠé£ããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{E} & ¬{D}) -> ¬{A} fact2: {A} fact3: ¬{F} -> ¬(¬{E} & ¬{D}) fact4: {C} fact5: ¬{A} -> ¬({B} & {C}) ; $hypothesis$ = ({B} & {C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã¡ãLv.22ã¯è¯ã
ãã | {B}{b} | fact1: ããããã®ãŽããŽã¡ãLv.70ã¯åŸ
ã¡é ãããªããšãããããã®ã·ãã·ã¡ãLv.22ã¯éŠ¬é¹¿ãããããã©é³¥ç°ãããšããããšã¯ãªãããšããããšã¯èª€ãã fact2: ãã®ãŽããŽã¡ãLv.70ã¯åŸ
ã¡é ãããªã fact3: ããããã®ã·ãã·ã¡ãLv.22ã¯éŠ¬é¹¿ãããããããããã¯é³¥ç°ããªãããšããããšã¯èª€ã£ãŠãããšããããã®ã·ãã·ã¡ãLv.22ã¯è¯ã
ãã fact4: åŸ
ã¡é ãããªãããããã¯èµ·ããæãã¢ã³ã¹ã¿ãŒã¯è¯ã
ãããªã | fact1: ¬{A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact2: ¬{A}{a} fact3: ¬({AA}{b} & ¬{AB}{b}) -> {B}{b} fact4: (x): (¬{A}x v {C}x) -> ¬{B}x | [
"fact1 & fact2 -> int1: ããã®ã·ãã·ã¡ãLv.22ã¯éŠ¬é¹¿ããããããã¯é³¥ç°ããªãããšããããšã¯æãç«ããªã; int1 & fact3 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ¬({AA}{b} & ¬{AB}{b}); int1 & fact3 -> hypothesis;"
] | ãã®ã·ãã·ã¡ãLv.22ã¯è¯ã
ãããªã | ¬{B}{b} | [
"fact5 -> int2: ããããã®ã·ãã·ã¡ãLv.22ãåŸ
ã¡é ãããªãããŸãã¯ããã¯èµ·ããæãããããã¯äž¡æ¹ãšãã ãšãããšããã¯è¯ã
ãããªã;"
] | 4 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŽããŽã¡ãLv.70ã¯åŸ
ã¡é ãããªããšãããããã®ã·ãã·ã¡ãLv.22ã¯éŠ¬é¹¿ãããããã©é³¥ç°ãããšããããšã¯ãªãããšããããšã¯èª€ãã fact2: ãã®ãŽããŽã¡ãLv.70ã¯åŸ
ã¡é ãããªã fact3: ããããã®ã·ãã·ã¡ãLv.22ã¯éŠ¬é¹¿ãããããããããã¯é³¥ç°ããªãããšããããšã¯èª€ã£ãŠãããšããããã®ã·ãã·ã¡ãLv.22ã¯è¯ã
ãã fact4: åŸ
ã¡é ãããªãããããã¯èµ·ããæãã¢ã³ã¹ã¿ãŒã¯è¯ã
ãããªã ; $hypothesis$ = ãã®ã·ãã·ã¡ãLv.22ã¯è¯ã
ãã ; $proof$ = | fact1 & fact2 -> int1: ããã®ã·ãã·ã¡ãLv.22ã¯éŠ¬é¹¿ããããããã¯é³¥ç°ããªãããšããããšã¯æãç«ããªã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact2: ¬{A}{a} fact3: ¬({AA}{b} & ¬{AB}{b}) -> {B}{b} fact4: (x): (¬{A}x v {C}x) -> ¬{B}x ; $hypothesis$ = {B}{b} ; $proof$ = | fact1 & fact2 -> int1: ¬({AA}{b} & ¬{AB}{b}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ãªã¿ã¡ãLv.6ã¯æ£ã | {B}{aa} | fact1: ç²ãã¢ã³ã¹ã¿ãŒã¯æ£ããªã fact2: ããã®ã¿ãªã¿ã¡ãLv.6ã¯ç²ãããã©ã现ããªãããšããããšã¯æãç«ããªã fact3: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯ç²ããªããããã«ã现ããªãããšããããšã¯èª€ã£ãŠããã°æ£ããªã | fact1: (x): {AA}x -> ¬{B}x fact2: ¬({AA}{aa} & ¬{AB}{aa}) fact3: (x): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x | [
"fact3 -> int1: ãããããã®ã¿ãªã¿ã¡ãLv.6ã¯ç²ããªãããã€ã现ããªãããšããããšã¯äºå®ãšç°ãªããªããã®ã¿ãªã¿ã¡ãLv.6ã¯æ£ããªã;"
] | [
"fact3 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa};"
] | null | null | [] | null | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ç²ãã¢ã³ã¹ã¿ãŒã¯æ£ããªã fact2: ããã®ã¿ãªã¿ã¡ãLv.6ã¯ç²ãããã©ã现ããªãããšããããšã¯æãç«ããªã fact3: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯ç²ããªããããã«ã现ããªãããšããããšã¯èª€ã£ãŠããã°æ£ããªã ; $hypothesis$ = ãã®ã¿ãªã¿ã¡ãLv.6ã¯æ£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {AA}x -> ¬{B}x fact2: ¬({AA}{aa} & ¬{AB}{aa}) fact3: (x): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x ; $hypothesis$ = {B}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããããªLv.48ã¯çããªã | ¬{A}{a} | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡ãã§ãããªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯å ã fact3: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡ãã§ãããªããšãããšãããã¯æçããªããå ããŠç¥ãé£ããªãããšããããšã¯äºå®ãšç°ãªã fact4: ããããšããã¢ã³ã¹ã¿ãŒã¯æçããšããããšã¯ãªããŠãŸãç¥ãé£ããªãããšããããšã¯æãç«ããªããšãããšå¿æããªã fact5: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯çã | fact1: (x): ¬{E}x fact2: (x): {IG}x fact3: (x): ¬{E}x -> ¬(¬{C}x & ¬{D}x) fact4: (x): ¬(¬{C}x & ¬{D}x) -> ¬{B}x fact5: (x): {A}x | [
"fact5 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯çã; int1 -> hypothesis;"
] | [
"fact5 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ ¹æ°è¯ã | (x): {M}x | [
"fact7 -> int2: ããããã®ããããªLv.48ã¯æçããªãããŸãç¥ãé£ããªãããšããããšã¯æãç«ããªããªãã°ãã®ããããªLv.48ã¯å¿æããªã; fact6 -> int3: ãã®ããããªLv.48ã¯åŸ¡ãã§ãããªã; fact8 -> int4: ãã®ããããªLv.48ã¯åŸ¡ãã§ãããªããšãããšãæçããªããŠç¥ãé£ããªãããšããããšã¯èª€ãã§ãã; int3 & int4 -> int5: ããã®ããããªLv.48ã¯æçããªãããŸãç¥ãé£ããªãããšããããšã¯åã§ãã; int2 & int5 -> int6: ããã®ããããªLv.48ã¯å¿æããªãããšããããšã¯åœã§ãããšããããšã¯ãªã;"
] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡ãã§ãããªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯å ã fact3: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡ãã§ãããªããšãããšãããã¯æçããªããå ããŠç¥ãé£ããªãããšããããšã¯äºå®ãšç°ãªã fact4: ããããšããã¢ã³ã¹ã¿ãŒã¯æçããšããããšã¯ãªããŠãŸãç¥ãé£ããªãããšããããšã¯æãç«ããªããšãããšå¿æããªã fact5: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯çã ; $hypothesis$ = ãã®ããããªLv.48ã¯çããªã ; $proof$ = | fact5 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯çã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{E}x fact2: (x): {IG}x fact3: (x): ¬{E}x -> ¬(¬{C}x & ¬{D}x) fact4: (x): ¬(¬{C}x & ¬{D}x) -> ¬{B}x fact5: (x): {A}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact5 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœã®Lv.57ã¯æ¥æããªã | ¬{C}{a} | fact1: ãã®ãœããœã®Lv.57ã¯å³å€ªã fact2: ãã®ãœããœã®Lv.57ãæããšããã°æ¥æãã fact3: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯çãããªããšããã°ãããŠãè¯ããªãããããå°ç
©ãããšããããšã¯æãç«ããªã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯çãããªã fact5: ãã®ã·ãã·ã«ãLv.50ã¯æ¥æãã fact6: ãããã®ãœããœã®Lv.57ãå³å€ªããªããã®ãœããœã®Lv.57ã¯æã fact7: ããããšããã¢ã³ã¹ã¿ãŒã¯ããŠãè¯ããªãããããã¯ããã¯å°ç
©ãããšããããšã¯èª€ã£ãŠãããšããã°æããªã fact8: ãã®ãœããœã®Lv.57ã¯ããã€ã | fact1: {A}{a} fact2: {B}{a} -> {C}{a} fact3: (x): ¬{F}x -> ¬(¬{E}x & {D}x) fact4: (x): ¬{F}x fact5: {C}{bo} fact6: {A}{a} -> {B}{a} fact7: (x): ¬(¬{E}x v {D}x) -> ¬{B}x fact8: {CK}{a} | [
"fact6 & fact1 -> int1: ãã®ãœããœã®Lv.57ã¯æã; int1 & fact2 -> hypothesis;"
] | [
"fact6 & fact1 -> int1: {B}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ãœããœã®Lv.57ã¯æ¥æããªã | ¬{C}{a} | [
"fact9 -> int2: ãã®ãŽããŽãLv.13ã¯çãããªããšããã°ããã®ãŽããŽãLv.13ã¯ããŠãè¯ããªããå°ç
©ãããšããããšã¯èª€ãã§ãã; fact10 -> int3: ãã®ãŽããŽãLv.13ã¯çãããšããããšã¯ãªã; int2 & int3 -> int4: ããã®ãŽããŽãLv.13ã¯ããŠãè¯ããªããå°ç
©ãããšããããšã¯æãç«ããªã; int4 -> int5: ãããŠãè¯ããªããŠãã€ããã¯å°ç
©ãããšããããšã¯çå®ã ãšããã¢ã³ã¹ã¿ãŒã¯ãªã; int5 -> int6: ããã®ãœããœã®Lv.57ã¯ããŠãè¯ããªããå°ç
©ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã;"
] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãœããœã®Lv.57ã¯å³å€ªã fact2: ãã®ãœããœã®Lv.57ãæããšããã°æ¥æãã fact3: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯çãããªããšããã°ãããŠãè¯ããªãããããå°ç
©ãããšããããšã¯æãç«ããªã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯çãããªã fact5: ãã®ã·ãã·ã«ãLv.50ã¯æ¥æãã fact6: ãããã®ãœããœã®Lv.57ãå³å€ªããªããã®ãœããœã®Lv.57ã¯æã fact7: ããããšããã¢ã³ã¹ã¿ãŒã¯ããŠãè¯ããªãããããã¯ããã¯å°ç
©ãããšããããšã¯èª€ã£ãŠãããšããã°æããªã fact8: ãã®ãœããœã®Lv.57ã¯ããã€ã ; $hypothesis$ = ãã®ãœããœã®Lv.57ã¯æ¥æããªã ; $proof$ = | fact6 & fact1 -> int1: ãã®ãœããœã®Lv.57ã¯æã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {B}{a} -> {C}{a} fact3: (x): ¬{F}x -> ¬(¬{E}x & {D}x) fact4: (x): ¬{F}x fact5: {C}{bo} fact6: {A}{a} -> {B}{a} fact7: (x): ¬(¬{E}x v {D}x) -> ¬{B}x fact8: {CK}{a} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact6 & fact1 -> int1: {B}{a}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœãªãœãLv.11ã¯æ±ºå®ãåŸãªã | ¬{AA}{a} | fact1: ããã®ãœãªãœãLv.11ã¯ç¹ããæããªãããšããããšã¯æ¬åœã§ãã fact2: ãã®ãŸãªãŸã«ã
Lv.46ã¯æ±ºå®ãåŸãªã fact3: ãã®ãœããœãLv.96ã¯çãé£ããªãã決å®ãåŸãªã fact4: ããä»®ã«ãã®ãœãªãœãLv.11ããã©ããªããªããšãããšæ±ºå®ãåŸãªãããã®äžããã¯å¶å·£ãããšããããšã¯ãªã fact5: ãã®ãœãªãœãLv.11ã¯ãã©ããªããªã | fact1: ¬{AF}{a} fact2: ¬{AA}{ar} fact3: (¬{R}{ca} & ¬{AA}{ca}) fact4: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}) fact5: ¬{A}{a} | [
"fact4 & fact5 -> int1: ãã®ãœãªãœãLv.11ã¯æ±ºå®ãåŸãªãããããããã¯å¶å·£ããªã; int1 -> hypothesis;"
] | [
"fact4 & fact5 -> int1: (¬{AA}{a} & ¬{AB}{a}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ãœãªãœãLv.11ã¯ç¹ããæããªãããšããããšã¯æ¬åœã§ãã fact2: ãã®ãŸãªãŸã«ã
Lv.46ã¯æ±ºå®ãåŸãªã fact3: ãã®ãœããœãLv.96ã¯çãé£ããªãã決å®ãåŸãªã fact4: ããä»®ã«ãã®ãœãªãœãLv.11ããã©ããªããªããšãããšæ±ºå®ãåŸãªãããã®äžããã¯å¶å·£ãããšããããšã¯ãªã fact5: ãã®ãœãªãœãLv.11ã¯ãã©ããªããªã ; $hypothesis$ = ãã®ãœãªãœãLv.11ã¯æ±ºå®ãåŸãªã ; $proof$ = | fact4 & fact5 -> int1: ãã®ãœãªãœãLv.11ã¯æ±ºå®ãåŸãªãããããããã¯å¶å·£ããªã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{AF}{a} fact2: ¬{AA}{ar} fact3: (¬{R}{ca} & ¬{AA}{ca}) fact4: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}) fact5: ¬{A}{a} ; $hypothesis$ = ¬{AA}{a} ; $proof$ = | fact4 & fact5 -> int1: (¬{AA}{a} & ¬{AB}{a}); int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸã¡ãLv.65ã¯å¹³ãããªããŠããã«ç
©ããªã | (¬{AA}{aa} & ¬{AB}{aa}) | fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŸããé£ããªããªããå¹³ãããªããç
©ãããšããããšã¯åœã fact2: ãããããã®ãŸããŸã¡ãLv.65ã¯è¡šçŸãé£ããªãããšããããšã¯ç¢ºããªãã°ãããã¯æé€ãæããªããŠãã®äžæžæ®ºããªãããšããããšã¯æãç«ããªã fact3: ä»®ã«ãã®ãŸããŸã¡ãLv.65ã¯ç
©ããªããšãããããã®ãŸããŸã¡ãLv.65ã¯æé€ãæããªãããããæ³å®ãé£ãããšããããšã¯åã§ãã fact4: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯åŸããé£ããšããããšã¯ãªããšããããããã¯å¹³ãããªããæŽã«ç
©ããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãããšããããšã¯ãªã fact5: ãããšããã¢ã³ã¹ã¿ãŒã¯åŸããé£ããªããªãã°ãå¹³ããããã©ç
©ããªãããšããããšã¯æãç«ããªã | fact1: (x): ¬{A}x -> ¬(¬{AA}x & {AB}x) fact2: ¬{HH}{aa} -> ¬(¬{JC}{aa} & ¬{FT}{aa}) fact3: ¬{AB}{aa} -> ¬(¬{JC}{aa} & {HL}{aa}) fact4: (x): ¬{A}x -> ¬(¬{AA}x & ¬{AB}x) fact5: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) | [
"fact4 -> int1: ãããããã®ãŸããŸã¡ãLv.65ã¯åŸããé£ããªãããšããããšã¯æ£ãããšãããšãããã®ãŸããŸã¡ãLv.65ã¯å¹³ãããšããããšã¯ãªãããã€ããã¯ç
©ããªãããšããããšã¯èª€ãã ããšããããšã¯æãç«ã€;"
] | [
"fact4 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa});"
] | null | null | [] | null | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŸããé£ããªããªããå¹³ãããªããç
©ãããšããããšã¯åœã fact2: ãããããã®ãŸããŸã¡ãLv.65ã¯è¡šçŸãé£ããªãããšããããšã¯ç¢ºããªãã°ãããã¯æé€ãæããªããŠãã®äžæžæ®ºããªãããšããããšã¯æãç«ããªã fact3: ä»®ã«ãã®ãŸããŸã¡ãLv.65ã¯ç
©ããªããšãããããã®ãŸããŸã¡ãLv.65ã¯æé€ãæããªãããããæ³å®ãé£ãããšããããšã¯åã§ãã fact4: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯åŸããé£ããšããããšã¯ãªããšããããããã¯å¹³ãããªããæŽã«ç
©ããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãããšããããšã¯ãªã fact5: ãããšããã¢ã³ã¹ã¿ãŒã¯åŸããé£ããªããªãã°ãå¹³ããããã©ç
©ããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ãŸããŸã¡ãLv.65ã¯å¹³ãããªããŠããã«ç
©ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ¬(¬{AA}x & {AB}x) fact2: ¬{HH}{aa} -> ¬(¬{JC}{aa} & ¬{FT}{aa}) fact3: ¬{AB}{aa} -> ¬(¬{JC}{aa} & {HL}{aa}) fact4: (x): ¬{A}x -> ¬(¬{AA}x & ¬{AB}x) fact5: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) ; $hypothesis$ = (¬{AA}{aa} & ¬{AB}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã¿ãã¿ãLv.57äºä»¶ã¯çããªãããšããããšã¯äºå®ã§ãã | ¬{C} | fact1: ããããŽããŽã«Lv.8äºä»¶ãèµ·ããªããšããã°èµ·åºããããšããã³ã¿ãã¿ãLv.57äºä»¶äž¡æ¹ãšãã¯çºçãã fact2: ãŽããŽã«Lv.8äºä»¶ãçºçãã fact3: èµ·åºããããšãçºçãã | fact1: ¬{B} -> ({A} & {C}) fact2: {B} fact3: {A} | [
"fact3 & fact2 -> int1: èµ·åºããããšããã³ãŽããŽã«Lv.8äºä»¶äž¡æ¹ãèµ·ãã;"
] | [
"fact3 & fact2 -> int1: ({A} & {B});"
] | ã¿ãã¿ãLv.57äºä»¶ãçãã | {C} | [] | 6 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããŽããŽã«Lv.8äºä»¶ãèµ·ããªããšããã°èµ·åºããããšããã³ã¿ãã¿ãLv.57äºä»¶äž¡æ¹ãšãã¯çºçãã fact2: ãŽããŽã«Lv.8äºä»¶ãçºçãã fact3: èµ·åºããããšãçºçãã ; $hypothesis$ = ãã¿ãã¿ãLv.57äºä»¶ã¯çããªãããšããããšã¯äºå®ã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ({A} & {C}) fact2: {B} fact3: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | æãããšããããšã¯çããªã | ¬{C} | fact1: ã¿ã¡ãã¿ã¡ãLv.11äºä»¶ãèµ·ãã | fact1: {B} | [
"fact1 -> int1: åœããæããšããããšãçºçããããããã¯ã¿ã¡ãã¿ã¡ãLv.11äºä»¶ãèµ·ããããããã¯äž¡æ¹ã§ãã;"
] | [
"fact1 -> int1: ({A} v {B});"
] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ã¿ã¡ãã¿ã¡ãLv.11äºä»¶ãèµ·ãã ; $hypothesis$ = æãããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã¡ããŸãªLv.79ã¯äŒžã°ãå§ãã | {A}{b} | fact1: ããã®ãŽããŽãLv.92ã¯æãããªãäžæ¹ã§èªã¿æãããšããããšã¯èª€ã£ãŠãã fact2: ããä»®ã«ããã®ãŽããŽãLv.92ã¯æãããªãããããèªã¿æãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããããã®ãŸã¡ããŸãªLv.79ã¯äŒžã°ãå§ãããšããããšã¯ãªã | fact1: ¬(¬{AA}{a} & {AB}{a}) fact2: ¬(¬{AA}{a} & {AB}{a}) -> ¬{A}{b} | [
"fact1 -> int1: ããã®ãŽããŽãLv.92ã¯æãããªãäžæ¹ã§èªã¿æãããšããããšã¯èª€ã£ãŠãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: ¬(¬{AA}{a} & {AB}{a}); int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã®ãŽããŽãLv.92ã¯æãããªãäžæ¹ã§èªã¿æãããšããããšã¯èª€ã£ãŠãã fact2: ããä»®ã«ããã®ãŽããŽãLv.92ã¯æãããªãããããèªã¿æãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããããã®ãŸã¡ããŸãªLv.79ã¯äŒžã°ãå§ãããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŸã¡ããŸãªLv.79ã¯äŒžã°ãå§ãã ; $proof$ = | fact1 -> int1: ããã®ãŽããŽãLv.92ã¯æãããªãäžæ¹ã§èªã¿æãããšããããšã¯èª€ã£ãŠãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA}{a} & {AB}{a}) fact2: ¬(¬{AA}{a} & {AB}{a}) -> ¬{A}{b} ; $hypothesis$ = {A}{b} ; $proof$ = | fact1 -> int1: ¬(¬{AA}{a} & {AB}{a}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ããœã«ããœã¡ãLv.16äºä»¶ãšæç·©ããšããããšäž¡æ¹ãšããçºçããããšããããšã¯åã | ¬({A} & {B}) | fact1: ãŽã«ããŽã¡ãLv.58äºä»¶ãçºçãã fact2: ãœã«ããœã¡ãLv.16äºä»¶ãçºçãã fact3: ãå±
äœåºæ¥ãããšããã³ãœã«ããœã¡ãLv.16äºä»¶ãèµ·ããããšããããšã¯æç·©ããšããããšã¯èµ·ããªããšããããšãåå ã§ãã | fact1: {BD} fact2: {A} fact3: ¬{B} -> ({BE} & {A}) | [
"fact2 -> int1: ãœã«ããœã¡ãLv.16äºä»¶ãçºçãã;"
] | [
"fact2 -> int1: {A};"
] | å±
äœåºæ¥ãããšãèµ·ãã | {BE} | [] | 6 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãŽã«ããŽã¡ãLv.58äºä»¶ãçºçãã fact2: ãœã«ããœã¡ãLv.16äºä»¶ãçºçãã fact3: ãå±
äœåºæ¥ãããšããã³ãœã«ããœã¡ãLv.16äºä»¶ãèµ·ããããšããããšã¯æç·©ããšããããšã¯èµ·ããªããšããããšãåå ã§ãã ; $hypothesis$ = ããœã«ããœã¡ãLv.16äºä»¶ãšæç·©ããšããããšäž¡æ¹ãšããçºçããããšããããšã¯åã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {BD} fact2: {A} fact3: ¬{B} -> ({BE} & {A}) ; $hypothesis$ = ¬({A} & {B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ã¿ãã¿ã«ã
Lv.95äºä»¶ãèµ·ãã | {C} | fact1: ããªãã«ãLv.90äºä»¶ãçºçãã fact2: ãã¿ã«ãã¿ã¡ãLv.67äºä»¶ãšããªãã«ãLv.90äºä»¶ãèµ·ããããšããããšã¯ãã¿ãã¿ã«ã
Lv.95äºä»¶ã¯èµ·ããªãããšããããšãåŒãèµ·ãã | fact1: {B} fact2: ({A} & {B}) -> ¬{C} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããªãã«ãLv.90äºä»¶ãçºçãã fact2: ãã¿ã«ãã¿ã¡ãLv.67äºä»¶ãšããªãã«ãLv.90äºä»¶ãèµ·ããããšããããšã¯ãã¿ãã¿ã«ã
Lv.95äºä»¶ã¯èµ·ããªãããšããããšãåŒãèµ·ãã ; $hypothesis$ = ã¿ãã¿ã«ã
Lv.95äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} fact2: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããšããšããããšã¯èµ·ããªã | ¬{C} | fact1: ãã·ãã·ãLv.29äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã fact2: ãããé Œããããšããããšãèµ·ãããšãããšãããšããšããããšãèµ·ãã fact3: ä»®ã«æ»ãæããšããããšã¯èµ·ãããªããªãã°ã絶ãé£ããšããããšãçºçãããè¿·ä¿¡æ·±ããšããããšãèµ·ããããšããããšã¯ééã£ãŠãã fact4: é Œããããšããããšã¯ã·ãã·ã¡ãLv.30äºä»¶ãçºçãããšããããšã¯åå ã§ãã fact5: ã·ãã·ã¡ãLv.30äºä»¶ãèµ·ãã fact6: ããä»®ã«ã絶ãé£ããšããããšãšè¿·ä¿¡æ·±ããšããããšäž¡æ¹ãçºçããããšããããšã¯åã§ãããšããã°ãããšããšããããšã¯èµ·ããªã fact7: ãé Œããããšããããšã¯èµ·ããªãããããè¿·ä¿¡æ·±ããšããããšã¯çããªãããšããããšã¯ã絶ãé£ããšããããšã¯èµ·ããªãããšããããšã«ããçºçãã | fact1: {GA} fact2: {B} -> {C} fact3: ¬{F} -> ¬({E} & {D}) fact4: {A} -> {B} fact5: {A} fact6: ¬({E} & {D}) -> ¬{C} fact7: ¬{E} -> (¬{B} & ¬{D}) | [
"fact4 & fact5 -> int1: é Œããããšããããšãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact4 & fact5 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | æãããšããããšãçãã | {DA} | [] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã·ãã·ãLv.29äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã fact2: ãããé Œããããšããããšãèµ·ãããšãããšãããšããšããããšãèµ·ãã fact3: ä»®ã«æ»ãæããšããããšã¯èµ·ãããªããªãã°ã絶ãé£ããšããããšãçºçãããè¿·ä¿¡æ·±ããšããããšãèµ·ããããšããããšã¯ééã£ãŠãã fact4: é Œããããšããããšã¯ã·ãã·ã¡ãLv.30äºä»¶ãçºçãããšããããšã¯åå ã§ãã fact5: ã·ãã·ã¡ãLv.30äºä»¶ãèµ·ãã fact6: ããä»®ã«ã絶ãé£ããšããããšãšè¿·ä¿¡æ·±ããšããããšäž¡æ¹ãçºçããããšããããšã¯åã§ãããšããã°ãããšããšããããšã¯èµ·ããªã fact7: ãé Œããããšããããšã¯èµ·ããªãããããè¿·ä¿¡æ·±ããšããããšã¯çããªãããšããããšã¯ã絶ãé£ããšããããšã¯èµ·ããªãããšããããšã«ããçºçãã ; $hypothesis$ = ãããšããšããããšã¯èµ·ããªã ; $proof$ = | fact4 & fact5 -> int1: é Œããããšããããšãèµ·ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {GA} fact2: {B} -> {C} fact3: ¬{F} -> ¬({E} & {D}) fact4: {A} -> {B} fact5: {A} fact6: ¬({E} & {D}) -> ¬{C} fact7: ¬{E} -> (¬{B} & ¬{D}) ; $hypothesis$ = ¬{C} ; $proof$ = | fact4 & fact5 -> int1: {B}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ããã課ãããã€åœ±é¿ããæãããšããããšã¯äºå®ãšç°ãªããšãããéä»ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ééãã§ãã | ¬((Ex): ¬({AA}x & {AB}x) -> ¬{B}x) | fact1: ä»®ã«ããã®ã¿ãã¿ãLv.97ã¯èª²ããããŸãã«åœ±é¿ããæãããšããããšã¯äºå®ãšç°ãªããšããã°ããã¯éä»ããªã | fact1: ¬({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ããã®ã¿ãã¿ãLv.97ã¯èª²ããããŸãã«åœ±é¿ããæãããšããããšã¯äºå®ãšç°ãªããšããã°ããã¯éä»ããªã ; $hypothesis$ = ããã課ãããã€åœ±é¿ããæãããšããããšã¯äºå®ãšç°ãªããšãããéä»ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ééãã§ãã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} ; $hypothesis$ = ¬((Ex): ¬({AA}x & {AB}x) -> ¬{B}x) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ãã¿ã¡ã
Lv.54ã¯æ»ãæããªã | ¬{A}{a} | fact1: ããããã®ãããã¡ãLv.70ãéããšãããããæ°éãæã¿ãããã€é»ããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: fake_formula | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã®ãããã¡ãLv.70ãéããšãããããæ°éãæã¿ãããã€é»ããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãã®ã¿ãã¿ã¡ã
Lv.54ã¯æ»ãæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | è
ãæããšããããšããã³çãŸãæããšããããšäž¡æ¹ãšããçãã | ({A} & {C}) | fact1: ãã¿ãã¿ã«Lv.2äºä»¶ã¯çºçããªãããšããããšã¯æ©ããšããããšãåé¿ãã fact2: ãããæ©ããšããããšã¯èµ·ããªããšããã°ãè
ãæããšããããšããã³çãŸãæããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯åœã§ãã fact3: è
ãæããšããããšãèµ·ãããæŽã«æ©ããšããããšãçãã | fact1: ¬{D} -> ¬{B} fact2: ¬{B} -> ¬({A} & {C}) fact3: ({A} & {B}) | [
"fact3 -> int1: è
ãæããšããããšãèµ·ãã;"
] | [
"fact3 -> int1: {A};"
] | ãè
ãæããšããããšãèµ·ãããçãŸãæããšããããšãçºçããããšããããšã¯æãç«ããªã | ¬({A} & {C}) | [] | 6 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã¿ãã¿ã«Lv.2äºä»¶ã¯çºçããªãããšããããšã¯æ©ããšããããšãåé¿ãã fact2: ãããæ©ããšããããšã¯èµ·ããªããšããã°ãè
ãæããšããããšããã³çãŸãæããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯åœã§ãã fact3: è
ãæããšããããšãèµ·ãããæŽã«æ©ããšããããšãçãã ; $hypothesis$ = è
ãæããšããããšããã³çãŸãæããšããããšäž¡æ¹ãšããçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{D} -> ¬{B} fact2: ¬{B} -> ¬({A} & {C}) fact3: ({A} & {B}) ; $hypothesis$ = ({A} & {C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽã¡ã
Lv.51ã¯ç ã | {A}{a} | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡çŸãã fact2: ããã®ãã¡ã
ãã«ãLv.27ã¯ç ãããšããããšã¯æ¬åœã§ãã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯å¹ãæã fact4: ãã®ãŽããŽã¡ã
Lv.51ã¯çãæ·±ã | fact1: (x): {CK}x fact2: {A}{ek} fact3: (x): {Q}x fact4: {BO}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡çŸãã fact2: ããã®ãã¡ã
ãã«ãLv.27ã¯ç ãããšããããšã¯æ¬åœã§ãã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯å¹ãæã fact4: ãã®ãŽããŽã¡ã
Lv.51ã¯çãæ·±ã ; $hypothesis$ = ãã®ãŽããŽã¡ã
Lv.51ã¯ç ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {CK}x fact2: {A}{ek} fact3: (x): {Q}x fact4: {BO}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽã®Lv.9ã¯å®ããªã | ¬{A}{a} | fact1: èŠããªãã¢ã³ã¹ã¿ãŒã¯åŽ©ãæãããŸãå®ã fact2: ããããã¢ã³ã¹ã¿ãŒãèŠããšãããšå®ããšããããšã¯ãªã | fact1: (x): ¬{B}x -> ({FB}x & {A}x) fact2: (x): {B}x -> ¬{A}x | [] | [] | ããããã¢ã³ã¹ã¿ãŒã¯åŽ©ãæã | (x): {FB}x | [
"fact3 -> int1: ããä»®ã«ãã®ãŽããŽã®Lv.9ãèŠããªããªã厩ãæããŠããã¯å®ã;"
] | 10 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: èŠããªãã¢ã³ã¹ã¿ãŒã¯åŽ©ãæãããŸãå®ã fact2: ããããã¢ã³ã¹ã¿ãŒãèŠããšãããšå®ããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŽããŽã®Lv.9ã¯å®ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{B}x -> ({FB}x & {A}x) fact2: (x): {B}x -> ¬{A}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã¡ããŸã¡ã
Lv.16ã¯å©ãèµ·ãããªã | ¬{C}{b} | fact1: åç¡ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯èŠããªãããããæ¯ã
ãã fact2: ããããã®ããªãã®Lv.55ã¯å¥é¢ãé£ããŠæŽã«ä»èšãããªãããã®ãŸã¡ããŸã¡ã
Lv.16ã¯å©ãèµ·ãããªãããšããããšã¯æ£ãã fact3: ãã®ããªãã®Lv.55ãä»èšããªããšããããã®ãŸã¡ããŸã¡ã
Lv.16ã¯å©ãèµ·ãããæŽã«å¥é¢ãé£ã fact4: ãã®ããªãã®Lv.55ã¯ä»èšãã fact5: ãã®ãŸã¡ããŸã¡ã
Lv.16ã¯å©ãäžãããããŸãã«æäœãæã fact6: ãã®ããªãã®Lv.55ã¯å¥é¢ãé£ã fact7: ããä»®ã«ãã®ããªãã®Lv.55ãå¥é¢ãé£ããŠå©ãèµ·ãããšããããã®ãŸã¡ããŸã¡ã
Lv.16ã¯ä»èšããªã fact8: ãããšããã¢ã³ã¹ã¿ãŒãç®é
ãããªããšãããšåç¡ããªããŠæŽã«ã²ããã | fact1: (x): ¬{F}x -> (¬{D}x & {E}x) fact2: ({A}{a} & {B}{a}) -> ¬{C}{b} fact3: ¬{B}{a} -> ({C}{b} & {A}{b}) fact4: {B}{a} fact5: ({DT}{b} & {IN}{b}) fact6: {A}{a} fact7: ({A}{a} & {C}{a}) -> ¬{B}{b} fact8: (x): ¬{H}x -> (¬{F}x & {G}x) | [
"fact6 & fact4 -> int1: ãã®ããªãã®Lv.55ã¯å¥é¢ãé£ããå ããŠä»èšãã; int1 & fact2 -> hypothesis;"
] | [
"fact6 & fact4 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> hypothesis;"
] | ãã®ãŸã¡ããŸã¡ã
Lv.16ã¯å©ãèµ·ãã | {C}{b} | [
"fact10 -> int2: ä»®ã«ãã®ããªãã®Lv.55ãåç¡ããªããªãèŠããªãããããæ¯ã
ãã; fact11 -> int3: ãããã®ãŸã¡ããŸã«ãLv.49ãç®é
ãããªããšãããšãã®ãŸã¡ããŸã«ãLv.49ã¯åç¡ããªãäžæ¹ã§ã²ããã;"
] | 9 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: åç¡ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯èŠããªãããããæ¯ã
ãã fact2: ããããã®ããªãã®Lv.55ã¯å¥é¢ãé£ããŠæŽã«ä»èšãããªãããã®ãŸã¡ããŸã¡ã
Lv.16ã¯å©ãèµ·ãããªãããšããããšã¯æ£ãã fact3: ãã®ããªãã®Lv.55ãä»èšããªããšããããã®ãŸã¡ããŸã¡ã
Lv.16ã¯å©ãèµ·ãããæŽã«å¥é¢ãé£ã fact4: ãã®ããªãã®Lv.55ã¯ä»èšãã fact5: ãã®ãŸã¡ããŸã¡ã
Lv.16ã¯å©ãäžãããããŸãã«æäœãæã fact6: ãã®ããªãã®Lv.55ã¯å¥é¢ãé£ã fact7: ããä»®ã«ãã®ããªãã®Lv.55ãå¥é¢ãé£ããŠå©ãèµ·ãããšããããã®ãŸã¡ããŸã¡ã
Lv.16ã¯ä»èšããªã fact8: ãããšããã¢ã³ã¹ã¿ãŒãç®é
ãããªããšãããšåç¡ããªããŠæŽã«ã²ããã ; $hypothesis$ = ãã®ãŸã¡ããŸã¡ã
Lv.16ã¯å©ãèµ·ãããªã ; $proof$ = | fact6 & fact4 -> int1: ãã®ããªãã®Lv.55ã¯å¥é¢ãé£ããå ããŠä»èšãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{F}x -> (¬{D}x & {E}x) fact2: ({A}{a} & {B}{a}) -> ¬{C}{b} fact3: ¬{B}{a} -> ({C}{b} & {A}{b}) fact4: {B}{a} fact5: ({DT}{b} & {IN}{b}) fact6: {A}{a} fact7: ({A}{a} & {C}{a}) -> ¬{B}{b} fact8: (x): ¬{H}x -> (¬{F}x & {G}x) ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact6 & fact4 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã¡ãã·ãªLv.72ã¯ç©ºãããªã | ¬{C}{c} | fact1: ä»®ã«ããã®ãŽããŽãªLv.1ã¯ã¡ã£ã¡ãããªããå£ç
©ãããšããããšã¯ééãã§ãããšããã°ãã®ã·ã¡ãã·ãªLv.72ã¯ç©ºãããªã fact2: ãã®ãŸããŸãLv.68ãã¡ã£ã¡ãããšãããšãã®ã·ã¡ãã·ãªLv.72ã¯ç©ºãã fact3: ããã®ãŽããŽãªLv.1ã¯å£ç
©ãããšããããšã¯çå®ã§ãã | fact1: ¬(¬{B}{a} & {A}{a}) -> ¬{C}{c} fact2: {B}{b} -> {C}{c} fact3: {A}{a} | [] | [] | ãã®ã·ã¡ãã·ãªLv.72ã¯ç©ºãããªã | ¬{C}{c} | [] | 5 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ããã®ãŽããŽãªLv.1ã¯ã¡ã£ã¡ãããªããå£ç
©ãããšããããšã¯ééãã§ãããšããã°ãã®ã·ã¡ãã·ãªLv.72ã¯ç©ºãããªã fact2: ãã®ãŸããŸãLv.68ãã¡ã£ã¡ãããšãããšãã®ã·ã¡ãã·ãªLv.72ã¯ç©ºãã fact3: ããã®ãŽããŽãªLv.1ã¯å£ç
©ãããšããããšã¯çå®ã§ãã ; $hypothesis$ = ãã®ã·ã¡ãã·ãªLv.72ã¯ç©ºãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{B}{a} & {A}{a}) -> ¬{C}{c} fact2: {B}{b} -> {C}{c} fact3: {A}{a} ; $hypothesis$ = ¬{C}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸãLv.98ã¯æãã | {C}{b} | fact1: ããããã®ãŸããŸãLv.0ãç©å¯ãããšããã°ã·ã³ã¯ããã fact2: ãã®ã·ãã·ã«Lv.21ã¯æãã fact3: ãããç©å¯ããã¢ã³ã¹ã¿ãŒãã·ã³ã¯ããããšãããšããã¯æãããªã fact4: ç±ã
ããã¢ã³ã¹ã¿ãŒã¯çœã fact5: ãã®ãŸããŸãLv.98ã¯åŸ®ç¬ãŸãã fact6: ããšããã¢ã³ã¹ã¿ãŒã¯ç©å¯ããäžæ¹ã§ããã¯ã·ã³ã¯ããããšããããšã¯ãªãããšããããšã¯æãç«ããªããªããããã¯æãããšããããšã¯ãªãããšããããšã¯æ£ãã fact7: ãããããã®ãŸããŸãLv.0ãã·ã³ã¯ããããšãããšãã®ãŸããŸãLv.98ã¯æããããšããããšã¯çå®ã§ãã fact8: ãã®ãŸããŸãLv.0ã¯ç©å¯ãã | fact1: {A}{a} -> {B}{a} fact2: {C}{hm} fact3: (x): ({A}x & {B}x) -> ¬{C}x fact4: (x): {HR}x -> {ET}x fact5: {DT}{b} fact6: (x): ¬({A}x & ¬{B}x) -> ¬{C}x fact7: {B}{a} -> {C}{b} fact8: {A}{a} | [
"fact1 & fact8 -> int1: ãã®ãŸããŸãLv.0ã¯ã·ã³ã¯ããã; int1 & fact7 -> hypothesis;"
] | [
"fact1 & fact8 -> int1: {B}{a}; int1 & fact7 -> hypothesis;"
] | ãã®ãŸããŸãLv.98ã¯æãããªã | ¬{C}{b} | [
"fact9 -> int2: ããããã®ãŸããŸãLv.98ã¯ç©å¯ããããã©ã·ã³ã¯ãããªãããšããããšã¯äºå®ãšç°ãªããšããã°ããã¯æãããªã;"
] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŸããŸãLv.0ãç©å¯ãããšããã°ã·ã³ã¯ããã fact2: ãã®ã·ãã·ã«Lv.21ã¯æãã fact3: ãããç©å¯ããã¢ã³ã¹ã¿ãŒãã·ã³ã¯ããããšãããšããã¯æãããªã fact4: ç±ã
ããã¢ã³ã¹ã¿ãŒã¯çœã fact5: ãã®ãŸããŸãLv.98ã¯åŸ®ç¬ãŸãã fact6: ããšããã¢ã³ã¹ã¿ãŒã¯ç©å¯ããäžæ¹ã§ããã¯ã·ã³ã¯ããããšããããšã¯ãªãããšããããšã¯æãç«ããªããªããããã¯æãããšããããšã¯ãªãããšããããšã¯æ£ãã fact7: ãããããã®ãŸããŸãLv.0ãã·ã³ã¯ããããšãããšãã®ãŸããŸãLv.98ã¯æããããšããããšã¯çå®ã§ãã fact8: ãã®ãŸããŸãLv.0ã¯ç©å¯ãã ; $hypothesis$ = ãã®ãŸããŸãLv.98ã¯æãã ; $proof$ = | fact1 & fact8 -> int1: ãã®ãŸããŸãLv.0ã¯ã·ã³ã¯ããã; int1 & fact7 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: {C}{hm} fact3: (x): ({A}x & {B}x) -> ¬{C}x fact4: (x): {HR}x -> {ET}x fact5: {DT}{b} fact6: (x): ¬({A}x & ¬{B}x) -> ¬{C}x fact7: {B}{a} -> {C}{b} fact8: {A}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 & fact8 -> int1: {B}{a}; int1 & fact7 -> hypothesis; __PROVED__ |
0.3 | ãœããœãLv.80äºä»¶ã¯çºçããªã | ¬{C} | fact1: ãã¿ãã¿ã«ãLv.82äºä»¶ãšãœã«ããœã¡ãLv.57äºä»¶ãèµ·ããããšããããšã¯ãå¹³ãããšããããšã¯èµ·ããªãããšããããšã«ç±æ¥ãã fact2: ä»®ã«ããœã«ããœã¡ãLv.57äºä»¶ãçãããå¹³ãããšããããšãçããããšããããšã¯ç¢ºãã ãšãããšãœããœãLv.80äºä»¶ã¯çããªã fact3: ã¿ãã¿ã«ãLv.48äºä»¶ãçºçãã fact4: ããŸããŸãLv.65äºä»¶ã¯çããªãããšããããšã¯ããœããœã¡ãLv.32äºä»¶ãèµ·ãããããšããããšããããšãèµ·ããããšããããšãå¥æ©ã fact5: ãœã«ããœã¡ãLv.57äºä»¶ãçãã | fact1: ¬{B} -> ({J} & {A}) fact2: ({A} & {B}) -> ¬{C} fact3: {DP} fact4: ({DM} & {GI}) -> ¬{HG} fact5: {A} | [] | [] | ã¿ãã¿ã«ãLv.82äºä»¶ãçºçãã | {J} | [] | 6 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã¿ãã¿ã«ãLv.82äºä»¶ãšãœã«ããœã¡ãLv.57äºä»¶ãèµ·ããããšããããšã¯ãå¹³ãããšããããšã¯èµ·ããªãããšããããšã«ç±æ¥ãã fact2: ä»®ã«ããœã«ããœã¡ãLv.57äºä»¶ãçãããå¹³ãããšããããšãçããããšããããšã¯ç¢ºãã ãšãããšãœããœãLv.80äºä»¶ã¯çããªã fact3: ã¿ãã¿ã«ãLv.48äºä»¶ãçºçãã fact4: ããŸããŸãLv.65äºä»¶ã¯çããªãããšããããšã¯ããœããœã¡ãLv.32äºä»¶ãèµ·ãããããšããããšããããšãèµ·ããããšããããšãå¥æ©ã fact5: ãœã«ããœã¡ãLv.57äºä»¶ãçãã ; $hypothesis$ = ãœããœãLv.80äºä»¶ã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ({J} & {A}) fact2: ({A} & {B}) -> ¬{C} fact3: {DP} fact4: ({DM} & {GI}) -> ¬{HG} fact5: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãœã«ãœãLv.7äºä»¶ã¯èµ·ãããªã | ¬{C} | fact1: éŠå°Ÿè¯ããšããããšã¯èµ·ããªããšããããšã¯å¬åããããšã«é»ãŸãã fact2: æºã蟌ã¿æããšããããšã¯ãããã¡ãLv.76äºä»¶ã«ããçºçãã fact3: 倪ãæããšããããšãèµ·ãããããŸãã«ãœã¡ããœãLv.37äºä»¶ãèµ·ãã fact4: ã倪ãæããšããããšãèµ·ããããšããããšã¯çå®ã fact5: æ¯èŠãããšããããšãèµ·ãããšããããšã¯éãæããšããããšãçãããã | fact1: {HR} -> {IN} fact2: {IT} -> {AQ} fact3: ({A} & {B}) fact4: {A} fact5: {BB} -> {EL} | [
"fact3 -> int1: ãœã¡ããœãLv.37äºä»¶ãçºçãã;"
] | [
"fact3 -> int1: {B};"
] | null | null | [] | null | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: éŠå°Ÿè¯ããšããããšã¯èµ·ããªããšããããšã¯å¬åããããšã«é»ãŸãã fact2: æºã蟌ã¿æããšããããšã¯ãããã¡ãLv.76äºä»¶ã«ããçºçãã fact3: 倪ãæããšããããšãèµ·ãããããŸãã«ãœã¡ããœãLv.37äºä»¶ãèµ·ãã fact4: ã倪ãæããšããããšãèµ·ããããšããããšã¯çå®ã fact5: æ¯èŠãããšããããšãèµ·ãããšããããšã¯éãæããšããããšãçãããã ; $hypothesis$ = ãœã«ãœãLv.7äºä»¶ã¯èµ·ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {HR} -> {IN} fact2: {IT} -> {AQ} fact3: ({A} & {B}) fact4: {A} fact5: {BB} -> {EL} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ã¡ãã¿ãªLv.22ã¯åžåãæã | {A}{a} | fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ°é£ããšãããšãåžåãæããšããããšã¯ãªãããã®äžæå³æ·±ããªãããšããããšã¯ééã£ãŠãã fact2: æ°Žèãã¢ã³ã¹ã¿ãŒã¯æ°é£ã fact3: ãã®ã¿ã¡ãã¿ãªLv.22ãéããæããšããããšã¯ãªããªãå
¬ç¶åãããããã«ããã¯æ°Žèã fact4: ããããåžåãæããªããŠããã«æå³æ·±ããªãããšããããšã¯äºå®ã§ãªããã¢ã³ã¹ã¿ãŒããããªããã®ãããã«Lv.32ã¯åžåãæã fact5: ããããã¢ã³ã¹ã¿ãŒã¯æ°é£ããšãããšãããã¯åžåãæããšããããšã¯ãªãããšããããšã¯æ£ãã | fact1: (x): {B}x -> ¬(¬{A}x & ¬{C}x) fact2: (x): {D}x -> {B}x fact3: ¬{F}{a} -> ({E}{a} & {D}{a}) fact4: (x): ¬(¬{A}x & ¬{C}x) -> {A}{bf} fact5: (x): {B}x -> ¬{A}x | [] | [] | ãã®ãããã«Lv.32ã¯åžåãæã | {A}{bf} | [
"fact7 -> int1: ããä»®ã«ãã®ã¿ã¡ãã¿ãªLv.22ã¯æ°é£ããšããããããã¯åžåãæããªããŠæŽã«æå³æ·±ããªãããšããããšã¯çå®ã§ãªã; fact9 -> int2: ããããã®ã¿ã¡ãã¿ãªLv.22ãæ°Žèããªãã°ãã®ã¿ã¡ãã¿ãªLv.22ã¯æ°é£ã;"
] | 7 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ°é£ããšãããšãåžåãæããšããããšã¯ãªãããã®äžæå³æ·±ããªãããšããããšã¯ééã£ãŠãã fact2: æ°Žèãã¢ã³ã¹ã¿ãŒã¯æ°é£ã fact3: ãã®ã¿ã¡ãã¿ãªLv.22ãéããæããšããããšã¯ãªããªãå
¬ç¶åãããããã«ããã¯æ°Žèã fact4: ããããåžåãæããªããŠããã«æå³æ·±ããªãããšããããšã¯äºå®ã§ãªããã¢ã³ã¹ã¿ãŒããããªããã®ãããã«Lv.32ã¯åžåãæã fact5: ããããã¢ã³ã¹ã¿ãŒã¯æ°é£ããšãããšãããã¯åžåãæããšããããšã¯ãªãããšããããšã¯æ£ãã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ãªLv.22ã¯åžåãæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {B}x -> ¬(¬{A}x & ¬{C}x) fact2: (x): {D}x -> {B}x fact3: ¬{F}{a} -> ({E}{a} & {D}{a}) fact4: (x): ¬(¬{A}x & ¬{C}x) -> {A}{bf} fact5: (x): {B}x -> ¬{A}x ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.50ã¯åãæã | {AB}{b} | fact1: ãã®ã¿ãã¿ãLv.50ã¯é
ãæããªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯ç¹æ»Žé泚ãã fact3: ããããããã¢ã³ã¹ã¿ãŒã¯é¢çœãããããªãããã©ããã¯å®äºããããšããããšã¯æ£ãããšããããšã¯ãªããªãã°ããã¯è²ãŠæã fact4: ãã®ãŸã«ããŸãLv.50ãè²ãŠæããªããšããã°ãã®ã¿ãã¿ãLv.50ã¯é
ãæããªãããããåãæã fact5: ãã®ãŸã«ããŸãLv.50ã¯è²ãŠæããªã | fact1: ¬{AA}{b} fact2: (x): {D}x fact3: (x): ¬(¬{C}x & {B}x) -> {A}x fact4: ¬{A}{a} -> (¬{AA}{b} & {AB}{b}) fact5: ¬{A}{a} | [
"fact4 & fact5 -> int1: ãã®ã¿ãã¿ãLv.50ã¯é
ãæããªããã©ããã¯åãæã; int1 -> hypothesis;"
] | [
"fact4 & fact5 -> int1: (¬{AA}{b} & {AB}{b}); int1 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.50ã¯åãæããªã | ¬{AB}{b} | [
"fact7 -> int2: ããã®ã¿ãã¿ãLv.50ã¯é¢çœãããããªãããããããã¯å®äºããããšããããšã¯äºå®ãšç°ãªããªããã®ã¿ãã¿ãLv.50ã¯è²ãŠæã; fact6 -> int3: ãã®ãŸã«ããŸãLv.50ã¯ç¹æ»Žé泚ãã;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ãã¿ãLv.50ã¯é
ãæããªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯ç¹æ»Žé泚ãã fact3: ããããããã¢ã³ã¹ã¿ãŒã¯é¢çœãããããªãããã©ããã¯å®äºããããšããããšã¯æ£ãããšããããšã¯ãªããªãã°ããã¯è²ãŠæã fact4: ãã®ãŸã«ããŸãLv.50ãè²ãŠæããªããšããã°ãã®ã¿ãã¿ãLv.50ã¯é
ãæããªãããããåãæã fact5: ãã®ãŸã«ããŸãLv.50ã¯è²ãŠæããªã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.50ã¯åãæã ; $proof$ = | fact4 & fact5 -> int1: ãã®ã¿ãã¿ãLv.50ã¯é
ãæããªããã©ããã¯åãæã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{AA}{b} fact2: (x): {D}x fact3: (x): ¬(¬{C}x & {B}x) -> {A}x fact4: ¬{A}{a} -> (¬{AA}{b} & {AB}{b}) fact5: ¬{A}{a} ; $hypothesis$ = {AB}{b} ; $proof$ = | fact4 & fact5 -> int1: (¬{AA}{b} & {AB}{b}); int1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãœã¡ã
ãœã«ãLv.61ã¯å³ã€ãããšããããšã¯èª€ã£ãŠããªã | {A}{a} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯å³ã€ã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ£ãã | fact1: (x): {A}x fact2: (x): {IQ}x | [
"fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯å³ã€ã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯å³ã€ã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ£ãã ; $hypothesis$ = ããã®ãœã¡ã
ãœã«ãLv.61ã¯å³ã€ãããšããããšã¯èª€ã£ãŠããªã ; $proof$ = | fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯å³ã€ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): {IQ}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã®ãŽã¡ãLv.3ã¯çæãæã | {C}{b} | fact1: ãã®ãŽã®ãŽã¡ãLv.3ã¯æšæ²ãã fact2: çæãæããªãã¢ã³ã¹ã¿ãŒã¯æšæ²ãããéªæ·±ã fact3: ãã®ã·ã¡ã
ã·ã¡ãLv.5ã¯æšæ²ãã fact4: ãããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯äžç¥èŸããããã«èªæŽ»ããããšããããšã¯æãç«ããªããšããã°çæãæããªãããšããããšã¯æãç«ã€ fact5: ããããã®ã·ã¡ã
ã·ã¡ãLv.5ãéªæ·±ããšãããšãã®ãŽã®ãŽã¡ãLv.3ã¯çæãæã fact6: ããä»®ã«ãã®ã·ã¡ã
ã·ã¡ãLv.5ãæšæ²ããã°ããã¯éªæ·±ã | fact1: {A}{b} fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: {A}{a} fact4: (x): ¬({D}x & {E}x) -> ¬{C}x fact5: {B}{a} -> {C}{b} fact6: {A}{a} -> {B}{a} | [
"fact6 & fact3 -> int1: ãã®ã·ã¡ã
ã·ã¡ãLv.5ã¯éªæ·±ã; int1 & fact5 -> hypothesis;"
] | [
"fact6 & fact3 -> int1: {B}{a}; int1 & fact5 -> hypothesis;"
] | ãã®ãœããœã®Lv.57ã¯æšæ²ãã | {A}{ic} | [
"fact8 -> int2: ãã®ãœããœã®Lv.57ãçæãæããªããšããã°æšæ²ããããã®äžããã¯éªæ·±ã; fact7 -> int3: ä»®ã«ãããã®ãœããœã®Lv.57ã¯äžç¥èŸããŠèªæŽ»ããããšããããšã¯æ¬åœã ããšããããšã¯çå®ã§ãªããšããããã®ãœããœã®Lv.57ã¯çæãæããªã;"
] | 5 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã®ãŽã¡ãLv.3ã¯æšæ²ãã fact2: çæãæããªãã¢ã³ã¹ã¿ãŒã¯æšæ²ãããéªæ·±ã fact3: ãã®ã·ã¡ã
ã·ã¡ãLv.5ã¯æšæ²ãã fact4: ãããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯äžç¥èŸããããã«èªæŽ»ããããšããããšã¯æãç«ããªããšããã°çæãæããªãããšããããšã¯æãç«ã€ fact5: ããããã®ã·ã¡ã
ã·ã¡ãLv.5ãéªæ·±ããšãããšãã®ãŽã®ãŽã¡ãLv.3ã¯çæãæã fact6: ããä»®ã«ãã®ã·ã¡ã
ã·ã¡ãLv.5ãæšæ²ããã°ããã¯éªæ·±ã ; $hypothesis$ = ãã®ãŽã®ãŽã¡ãLv.3ã¯çæãæã ; $proof$ = | fact6 & fact3 -> int1: ãã®ã·ã¡ã
ã·ã¡ãLv.5ã¯éªæ·±ã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{b} fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: {A}{a} fact4: (x): ¬({D}x & {E}x) -> ¬{C}x fact5: {B}{a} -> {C}{b} fact6: {A}{a} -> {B}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact6 & fact3 -> int1: {B}{a}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã¡ã
ããLv.14ã¯ããã | {A}{a} | fact1: èŠãæããªãã¢ã³ã¹ã¿ãŒã¯çãé£ãããã©ããããšããããšã¯ãªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯ããã fact3: ãããããã®ã·ã¡ã
ã·ã¡ãLv.93ã¯èããããŸãããã¯é£ããããšããããšã¯æãç«ããªããšãããšèããªã fact4: 衚瀺ãããããã«èãããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact5: ãã®ãããã«ãLv.74ã¯ããã fact6: ãã®ã·ã¡ã
ã·ã¡ãLv.93ã¯èããªããšãããããããããã©èŠãæããªãããšããããšã¯æãç«ããªã | fact1: (x): ¬{B}x -> ({AT}x & ¬{A}x) fact2: (x): {A}x fact3: ¬({C}{b} & {E}{b}) -> ¬{C}{b} fact4: (x): ¬({D}x & {C}x) fact5: {A}{dq} fact6: ¬{C}{b} -> ¬({A}{b} & ¬{B}{b}) | [
"fact2 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯ããã; int1 -> hypothesis;"
] | [
"fact2 -> int1: (x): {A}x; int1 -> hypothesis;"
] | å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯çãé£ã | (x): {AT}x | [
"fact8 -> int2: ãã®ã·ã¡ã
ã·ã¡ãLv.93ãèŠãæããªããšãããšãã®ã·ã¡ã
ã·ã¡ãLv.93ã¯çãé£ããããããªã; fact7 -> int3: ããã®ã·ã¡ã
ã·ã¡ãLv.93ã¯è¡šç€ºãããããã«èããããšããããšã¯äºå®ã§ãªã;"
] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: èŠãæããªãã¢ã³ã¹ã¿ãŒã¯çãé£ãããã©ããããšããããšã¯ãªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯ããã fact3: ãããããã®ã·ã¡ã
ã·ã¡ãLv.93ã¯èããããŸãããã¯é£ããããšããããšã¯æãç«ããªããšãããšèããªã fact4: 衚瀺ãããããã«èãããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact5: ãã®ãããã«ãLv.74ã¯ããã fact6: ãã®ã·ã¡ã
ã·ã¡ãLv.93ã¯èããªããšãããããããããã©èŠãæããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ãã¡ã
ããLv.14ã¯ããã ; $proof$ = | fact2 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯ããã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{B}x -> ({AT}x & ¬{A}x) fact2: (x): {A}x fact3: ¬({C}{b} & {E}{b}) -> ¬{C}{b} fact4: (x): ¬({D}x & {C}x) fact5: {A}{dq} fact6: ¬{C}{b} -> ¬({A}{b} & ¬{B}{b}) ; $hypothesis$ = {A}{a} ; $proof$ = | fact2 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ããããLv.56ã¯èš±ãé£ããªã | ¬{B}{b} | fact1: ããä»®ã«ããã®ããããLv.56ã¯é æ¯ç¡ãããã©ããã¯å±
èŸããªãããšããããšã¯äºå®ãšç°ãªãã°ããã¯èš±ãé£ããšããããšã¯ãªã fact2: ã¿ã£ãšããªããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯èš±ãé£ãããŸãã¯é æ¯ç¡ããªãããŸãã¯ã©ã¡ããã fact3: ãã®ã¿ã¡ãã¿ãLv.38ã¯ã¿ã£ãšããªã fact4: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.38ã¯ã¿ã£ãšããªããªãã°ããã®ããããLv.56ã¯é æ¯ç¡ãããã©å±
èŸããªãããšããããšã¯ééã£ãŠãã fact5: ããããšããã¢ã³ã¹ã¿ãŒãããããããªããšãããããã¯ã¿ã£ãšããªããŠãã§ã³ãžãã | fact1: ¬({AA}{b} & ¬{AB}{b}) -> ¬{B}{b} fact2: (x): ¬{A}x -> ({B}x v ¬{AA}x) fact3: {A}{a} fact4: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact5: (x): ¬{D}x -> ({A}x & {C}x) | [
"fact4 & fact3 -> int1: ããã®ããããLv.56ã¯é æ¯ç¡ããã©ããã¯å±
èŸããªãããšããããšã¯äºå®ãšç°ãªã; int1 & fact1 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: ¬({AA}{b} & ¬{AB}{b}); int1 & fact1 -> hypothesis;"
] | ãã®ããããLv.56ã¯èš±ãé£ã | {B}{b} | [
"fact6 -> int2: ãããã®ã¿ã¡ãã¿ãLv.38ãããããããªããšããããã®ã¿ã¡ãã¿ãLv.38ã¯ã¿ã£ãšããªãããã§ã³ãžãã;"
] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ããã®ããããLv.56ã¯é æ¯ç¡ãããã©ããã¯å±
èŸããªãããšããããšã¯äºå®ãšç°ãªãã°ããã¯èš±ãé£ããšããããšã¯ãªã fact2: ã¿ã£ãšããªããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯èš±ãé£ãããŸãã¯é æ¯ç¡ããªãããŸãã¯ã©ã¡ããã fact3: ãã®ã¿ã¡ãã¿ãLv.38ã¯ã¿ã£ãšããªã fact4: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.38ã¯ã¿ã£ãšããªããªãã°ããã®ããããLv.56ã¯é æ¯ç¡ãããã©å±
èŸããªãããšããããšã¯ééã£ãŠãã fact5: ããããšããã¢ã³ã¹ã¿ãŒãããããããªããšãããããã¯ã¿ã£ãšããªããŠãã§ã³ãžãã ; $hypothesis$ = ãã®ããããLv.56ã¯èš±ãé£ããªã ; $proof$ = | fact4 & fact3 -> int1: ããã®ããããLv.56ã¯é æ¯ç¡ããã©ããã¯å±
èŸããªãããšããããšã¯äºå®ãšç°ãªã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({AA}{b} & ¬{AB}{b}) -> ¬{B}{b} fact2: (x): ¬{A}x -> ({B}x v ¬{AA}x) fact3: {A}{a} fact4: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact5: (x): ¬{D}x -> ({A}x & {C}x) ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact4 & fact3 -> int1: ¬({AA}{b} & ¬{AB}{b}); int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã¡ã
ãŽãLv.45ã¯è«è°ãã | {C}{aa} | fact1: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãèŠåããªããšããããã£ããããŠæŽã«ããã¯æŒãä»ãããŸãã fact2: ãããã®ã¿ã«ã
ã¿ãLv.88ãå®ããªããããã¯èŠåããªãããŸãã¯ã©ã¡ããã ãšãããšããã¯èŠåããªã fact3: ãã®ãŽã¡ã
ãŽãLv.45ã¯ãã£ããã fact4: ããããã®ã¿ã«ã
ã¿ãLv.88ãåºæããªããªãã°å®ããªãããããã¯èŠåããªãããŸãã¯äž¡æ¹ã | fact1: (x): ¬{D}x -> ({A}x & {B}x) fact2: (¬{F}{a} v ¬{D}{a}) -> ¬{D}{a} fact3: {A}{aa} fact4: ¬{E}{a} -> (¬{F}{a} v ¬{D}{a}) | [] | [] | ãã®ãŽã¡ã
ãŽãLv.45ã¯è«è°ããªã | ¬{C}{aa} | [
"fact5 -> int1: ããä»®ã«ãã®ã¿ã«ã
ã¿ãLv.88ãèŠåããªããªãã°ãã®ã¿ã«ã
ã¿ãLv.88ã¯ãã£ããããŠæŽã«æŒãä»ãããŸãã;"
] | 7 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãèŠåããªããšããããã£ããããŠæŽã«ããã¯æŒãä»ãããŸãã fact2: ãããã®ã¿ã«ã
ã¿ãLv.88ãå®ããªããããã¯èŠåããªãããŸãã¯ã©ã¡ããã ãšãããšããã¯èŠåããªã fact3: ãã®ãŽã¡ã
ãŽãLv.45ã¯ãã£ããã fact4: ããããã®ã¿ã«ã
ã¿ãLv.88ãåºæããªããªãã°å®ããªãããããã¯èŠåããªãããŸãã¯äž¡æ¹ã ; $hypothesis$ = ãã®ãŽã¡ã
ãŽãLv.45ã¯è«è°ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{D}x -> ({A}x & {B}x) fact2: (¬{F}{a} v ¬{D}{a}) -> ¬{D}{a} fact3: {A}{aa} fact4: ¬{E}{a} -> (¬{F}{a} v ¬{D}{a}) ; $hypothesis$ = {C}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã¡ã
ã·ãLv.78ã¯çå±ã£ãœã | {C}{c} | fact1: ãã®ãã¡ããã¡ãLv.73ã¯æ°å¿ãã fact2: ããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯å¿æããªããããŸãã«æ°å¿ãããªãããšããããšã¯æãç«ããªããšããããããã¯çå±ã£ãœããªãããšããããšã¯æãç«ã€ fact3: ããããã¢ã³ã¹ã¿ãŒã¯èª¬æãé£ã fact4: çå±ã£ãœããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯å¿æããŠæŽã«æ°å¿ãã fact5: ãã®ãã¡ããã¡ãLv.73ãæ°å¿ãããšããããã®ãã«ããLv.92ã¯å¿æã fact6: ããããã®ãã«ããLv.92ãå¿æããšããã°ãã®ã·ã¡ã
ã·ãLv.78ã¯çå±ã£ãœã | fact1: {A}{a} fact2: (x): ¬(¬{B}x & ¬{A}x) -> ¬{C}x fact3: (x): {D}x fact4: (x): ¬{C}x -> ({B}x & {A}x) fact5: {A}{a} -> {B}{b} fact6: {B}{b} -> {C}{c} | [
"fact5 & fact1 -> int1: ãã®ãã«ããLv.92ã¯å¿æã; int1 & fact6 -> hypothesis;"
] | [
"fact5 & fact1 -> int1: {B}{b}; int1 & fact6 -> hypothesis;"
] | ãã®ã·ãã·ã¡ã
Lv.15ã¯å¿æã | {B}{as} | [
"fact8 -> int2: ãã®ãã¡ããã¡ãLv.73ã¯èª¬æãé£ã; fact7 -> int3: ãã®ãã¡ããã¡ãLv.73ãçå±ã£ãœããšããããšã¯ãªããšãããšãã®ãã¡ããã¡ãLv.73ã¯å¿æããŠæ°å¿ãã;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãã¡ããã¡ãLv.73ã¯æ°å¿ãã fact2: ããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯å¿æããªããããŸãã«æ°å¿ãããªãããšããããšã¯æãç«ããªããšããããããã¯çå±ã£ãœããªãããšããããšã¯æãç«ã€ fact3: ããããã¢ã³ã¹ã¿ãŒã¯èª¬æãé£ã fact4: çå±ã£ãœããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯å¿æããŠæŽã«æ°å¿ãã fact5: ãã®ãã¡ããã¡ãLv.73ãæ°å¿ãããšããããã®ãã«ããLv.92ã¯å¿æã fact6: ããããã®ãã«ããLv.92ãå¿æããšããã°ãã®ã·ã¡ã
ã·ãLv.78ã¯çå±ã£ãœã ; $hypothesis$ = ãã®ã·ã¡ã
ã·ãLv.78ã¯çå±ã£ãœã ; $proof$ = | fact5 & fact1 -> int1: ãã®ãã«ããLv.92ã¯å¿æã; int1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: (x): ¬(¬{B}x & ¬{A}x) -> ¬{C}x fact3: (x): {D}x fact4: (x): ¬{C}x -> ({B}x & {A}x) fact5: {A}{a} -> {B}{b} fact6: {B}{b} -> {C}{c} ; $hypothesis$ = {C}{c} ; $proof$ = | fact5 & fact1 -> int1: {B}{b}; int1 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãã®ãããã¡ã
Lv.54ã¯ã€ã¹ãããªã | ¬{C}{a} | fact1: ãããã®ãããã¡ã
Lv.54ãç®ãŸãããããªãã°ã€ã¹ãã fact2: ä»®ã«ãã®ãããã¡ã
Lv.54ããã©ããªãããã¯çµãã fact3: ãã®ãŽããŽãLv.86ãåãã°ãã®ãããã¡ã
Lv.54ã¯åã fact4: ãã®ãããã¡ã
Lv.54ã¯æãããæããããã¯æãé£ã fact5: ãã®ãããã¡ã
Lv.54ã¯åããæŽã«ããã¯ç®ãŸãããã fact6: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãç®ãŸãããããšãããšåã | fact1: {B}{a} -> {C}{a} fact2: {HB}{a} -> {CS}{a} fact3: {A}{b} -> {A}{a} fact4: ({IF}{a} & {BP}{a}) fact5: ({A}{a} & {B}{a}) fact6: (x): {B}x -> {A}x | [
"fact5 -> int1: ãã®ãããã¡ã
Lv.54ã¯ç®ãŸãããã; int1 & fact1 -> hypothesis;"
] | [
"fact5 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ãããã¡ã
Lv.54ã¯ã€ã¹ãããªã | ¬{C}{a} | [
"fact7 -> int2: ããããã®ãŽããŽãLv.86ãç®ãŸãããããªãã°ãã®ãŽããŽãLv.86ã¯åã;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãããã¡ã
Lv.54ãç®ãŸãããããªãã°ã€ã¹ãã fact2: ä»®ã«ãã®ãããã¡ã
Lv.54ããã©ããªãããã¯çµãã fact3: ãã®ãŽããŽãLv.86ãåãã°ãã®ãããã¡ã
Lv.54ã¯åã fact4: ãã®ãããã¡ã
Lv.54ã¯æãããæããããã¯æãé£ã fact5: ãã®ãããã¡ã
Lv.54ã¯åããæŽã«ããã¯ç®ãŸãããã fact6: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãç®ãŸãããããšãããšåã ; $hypothesis$ = ãã®ãããã¡ã
Lv.54ã¯ã€ã¹ãããªã ; $proof$ = | fact5 -> int1: ãã®ãããã¡ã
Lv.54ã¯ç®ãŸãããã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> {C}{a} fact2: {HB}{a} -> {CS}{a} fact3: {A}{b} -> {A}{a} fact4: ({IF}{a} & {BP}{a}) fact5: ({A}{a} & {B}{a}) fact6: (x): {B}x -> {A}x ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact5 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ããŽã«Lv.30ã¯æã¡ç¶ã | {A}{a} | fact1: ããä»®ã«ãã®ã¿ã«ã
ã¿ãLv.1ã倩䜿ããããªããšããã°ãã®ãŽã«ããŽã«Lv.30ã¯æã¡ç¶ããªããŠå«ã³è¿ããªã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æã¡ç¶ã | fact1: ¬{C}{b} -> (¬{A}{a} & ¬{B}{a}) fact2: (x): {A}x | [
"fact2 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æã¡ç¶ã; int1 -> hypothesis;"
] | [
"fact2 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ãŽã«ããŽã«Lv.30ã¯æã¡ç¶ããªã | ¬{A}{a} | [] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ã¿ã«ã
ã¿ãLv.1ã倩䜿ããããªããšããã°ãã®ãŽã«ããŽã«Lv.30ã¯æã¡ç¶ããªããŠå«ã³è¿ããªã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æã¡ç¶ã ; $hypothesis$ = ãã®ãŽã«ããŽã«Lv.30ã¯æã¡ç¶ã ; $proof$ = | fact2 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æã¡ç¶ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{C}{b} -> (¬{A}{a} & ¬{B}{a}) fact2: (x): {A}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact2 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ãã·ã«ã·ã«ãLv.85äºä»¶ãèµ·ããããããæãé£ããšããããšãçããããšããããšã¯æãç«ããªã | ¬({B} & {C}) | fact1: æãé£ããšããããšãçºçãã fact2: ãã·ã«ã·ã«ãLv.85äºä»¶ã¯èµ·ããªããããã«æãé£ããšããããšã¯èµ·ããªãããšããããšã¯ãã¿ã«ã¿ãLv.91äºä»¶ã¯çºçããªãããšããããšã«ç±æ¥ãã fact3: èžã¿åºããããšãèµ·ãããããã«ã·ã«ã·ã«ãLv.85äºä»¶ãçãã fact4: ãããã·ã«ã·ã«ãLv.85äºä»¶ã¯çºçããªããªãã°æ¬åœããããšããããšããã³èžã¿åºããããšãèµ·ãã | fact1: {C} fact2: ¬{D} -> (¬{B} & ¬{C}) fact3: ({A} & {B}) fact4: ¬{B} -> ({IM} & {A}) | [
"fact3 -> int1: ã·ã«ã·ã«ãLv.85äºä»¶ãçãã; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | æ¬åœããããšããããšãèµ·ãã | {IM} | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æãé£ããšããããšãçºçãã fact2: ãã·ã«ã·ã«ãLv.85äºä»¶ã¯èµ·ããªããããã«æãé£ããšããããšã¯èµ·ããªãããšããããšã¯ãã¿ã«ã¿ãLv.91äºä»¶ã¯çºçããªãããšããããšã«ç±æ¥ãã fact3: èžã¿åºããããšãèµ·ãããããã«ã·ã«ã·ã«ãLv.85äºä»¶ãçãã fact4: ãããã·ã«ã·ã«ãLv.85äºä»¶ã¯çºçããªããªãã°æ¬åœããããšããããšããã³èžã¿åºããããšãèµ·ãã ; $hypothesis$ = ãã·ã«ã·ã«ãLv.85äºä»¶ãèµ·ããããããæãé£ããšããããšãçããããšããããšã¯æãç«ããªã ; $proof$ = | fact3 -> int1: ã·ã«ã·ã«ãLv.85äºä»¶ãçãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: ¬{D} -> (¬{B} & ¬{C}) fact3: ({A} & {B}) fact4: ¬{B} -> ({IM} & {A}) ; $hypothesis$ = ¬({B} & {C}) ; $proof$ = | fact3 -> int1: {B}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã«ãã·ã¡ãLv.64ã¯èŠå¢ç¡ããªã | ¬{A}{a} | fact1: ãªãããã®ã¢ã³ã¹ã¿ãŒãå
¥æããã°éªæ·±ããªã fact2: ä»®ã«ãã®ãŽãªãŽãLv.64ãéªæ·±ããšãããå
¥æããªããããŸãã«èŠå¢ç¡ããšããããšã¯ãªã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å¥œæŒãããæŽã«å
¥æãã | fact1: (x): {C}x -> ¬{B}x fact2: {B}{b} -> (¬{C}{b} & ¬{A}{b}) fact3: (x): ({E}x & {C}x) | [] | [] | ãã®ã·ã«ãã·ã¡ãLv.64ã¯èŠå¢ç¡ããªã | ¬{A}{a} | [] | 6 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãªãããã®ã¢ã³ã¹ã¿ãŒãå
¥æããã°éªæ·±ããªã fact2: ä»®ã«ãã®ãŽãªãŽãLv.64ãéªæ·±ããšãããå
¥æããªããããŸãã«èŠå¢ç¡ããšããããšã¯ãªã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å¥œæŒãããæŽã«å
¥æãã ; $hypothesis$ = ãã®ã·ã«ãã·ã¡ãLv.64ã¯èŠå¢ç¡ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {C}x -> ¬{B}x fact2: {B}{b} -> (¬{C}{b} & ¬{A}{b}) fact3: (x): ({E}x & {C}x) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | èµ·ãæããšããããšã¯èµ·ãããªã | ¬{C} | fact1: ç©ãããšããããšã¯èµ·ãããªããšããããšã¯åºæ¥é£ããšããããšããŸãã¯ãæºã蟌ã¿æããšããããšãèµ·ããããšããããšããŸãã¯äž¡æ¹ãšãã«åž°çµãã fact2: æ¬ããããšãçãããšããããšããããã¯ãœãªãœã«Lv.21äºä»¶ãäž¡æ¹ã¯ãèµ·ãæããšããããšãèµ·ããããšããããšãåé¿ãã fact3: æ¬ããããšãèµ·ãã | fact1: ¬{F} -> ({D} v {E}) fact2: ({A} v {B}) -> ¬{C} fact3: {A} | [
"fact3 -> int1: æ¬ããããšããããã¯ãœãªãœã«Lv.21äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: ({A} v {B}); int1 & fact2 -> hypothesis;"
] | èµ·ãæããšããããšãèµ·ãã | {C} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ç©ãããšããããšã¯èµ·ãããªããšããããšã¯åºæ¥é£ããšããããšããŸãã¯ãæºã蟌ã¿æããšããããšãèµ·ããããšããããšããŸãã¯äž¡æ¹ãšãã«åž°çµãã fact2: æ¬ããããšãçãããšããããšããããã¯ãœãªãœã«Lv.21äºä»¶ãäž¡æ¹ã¯ãèµ·ãæããšããããšãèµ·ããããšããããšãåé¿ãã fact3: æ¬ããããšãèµ·ãã ; $hypothesis$ = èµ·ãæããšããããšã¯èµ·ãããªã ; $proof$ = | fact3 -> int1: æ¬ããããšããããã¯ãœãªãœã«Lv.21äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{F} -> ({D} v {E}) fact2: ({A} v {B}) -> ¬{C} fact3: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | fact3 -> int1: ({A} v {B}); int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãããããçæž©ããªãã°ãããããããªãããŸãã¯çãèŸãããšããããšã¯æ£ãããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): {A}x -> ¬(¬{AA}x v {AB}x)) | fact1: ãããã芪ããªãã°ãæ¯ã
ãããªãããŸãã¯åãæããäž¡æ¹ãšãã ããšããããšã¯æ¬åœã§ãªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯å°ç¡ããªããããã¯æµè§ŠããªãããŸãã¯ç±èŠããããããã¯äž¡æ¹ãšãã ããšããããšã¯äºå®ãšç°ãªã fact3: ãæããæããšããã°ãå¿ãé£ããªãããšããããšã¯åœãªãã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãã®ãŽã¡ããŽã«ãLv.17ãçæž©ããªãã°ãã®ãŽã¡ããŽã«ãLv.17ã¯ããããã | fact1: (Ex): {IB}x -> ¬(¬{IF}x v {HS}x) fact2: (x): {GR}x -> ¬(¬{AS}x v {GN}x) fact3: (Ex): {IT}x -> {JI}x fact4: {A}{aa} -> {AA}{aa} | [] | [] | ããããã®ãŸããŸã®Lv.41ã¯å°ç¡ããªãããã®ãŸããŸã®Lv.41ã¯æµè§Šããªããç±èŠããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | {GR}{eo} -> ¬(¬{AS}{eo} v {GN}{eo}) | [
"fact5 -> hypothesis;"
] | 1 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãããã芪ããªãã°ãæ¯ã
ãããªãããŸãã¯åãæããäž¡æ¹ãšãã ããšããããšã¯æ¬åœã§ãªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯å°ç¡ããªããããã¯æµè§ŠããªãããŸãã¯ç±èŠããããããã¯äž¡æ¹ãšãã ããšããããšã¯äºå®ãšç°ãªã fact3: ãæããæããšããã°ãå¿ãé£ããªãããšããããšã¯åœãªãã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãã®ãŽã¡ããŽã«ãLv.17ãçæž©ããªãã°ãã®ãŽã¡ããŽã«ãLv.17ã¯ããããã ; $hypothesis$ = ãããããçæž©ããªãã°ãããããããªãããŸãã¯çãèŸãããšããããšã¯æ£ãããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): {IB}x -> ¬(¬{IF}x v {HS}x) fact2: (x): {GR}x -> ¬(¬{AS}x v {GN}x) fact3: (Ex): {IT}x -> {JI}x fact4: {A}{aa} -> {AA}{aa} ; $hypothesis$ = ¬((Ex): {A}x -> ¬(¬{AA}x v {AB}x)) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããããLv.74ã¯åœ¢å®¹ãé£ã | {C}{b} | fact1: ããä»®ã«ãã®ãŽããŽãLv.79ã¯åœ¢å®¹ãé£ããªãããã®ãŽããŽãLv.79ã¯å€æããããšããããšã¯ç¢ºãã§ãã fact2: ããä»®ã«ããã®ãŽããŽãLv.79ã¯äœ¿ãå°œãããã©åœ¢å®¹ãé£ããªãããšããããšã¯ééãã§ãããšãããšãã®ããããLv.74ã¯åœ¢å®¹ãé£ããªã fact3: ããããã®ãŽããŽãLv.79ã䜿ãå°œãããªããã®ãŽããŽãLv.79ã¯å€æãã fact4: ãããã®ããããLv.74ã䜿ãå°œããã°ãã®ãŽããŽãLv.79ã¯åœ¢å®¹ãé£ã fact5: ãããã®ã¿ãã¿ã«ã
Lv.92ããããã£ãœããšãããšå€æãã fact6: ããã®ãŽããŽãLv.79ã¯äœ¿ãå°œããããšããããšã¯çå®ã§ãã fact7: ãã®ã¿ãã¿ã«ã
Lv.92ã¯ãããã£ãœã | fact1: {C}{a} -> {B}{a} fact2: ¬({A}{a} & ¬{C}{a}) -> ¬{C}{b} fact3: {A}{a} -> {B}{a} fact4: {A}{b} -> {C}{a} fact5: {D}{c} -> {B}{c} fact6: {A}{a} fact7: {D}{c} | [
"fact3 & fact6 -> int1: ãã®ãŽããŽãLv.79ã¯å€æãã;"
] | [
"fact3 & fact6 -> int1: {B}{a};"
] | ãã®ããããLv.74ã¯åœ¢å®¹ãé£ããªã | ¬{C}{b} | [
"fact9 & fact8 -> int2: ããã®ã¿ãã¿ã«ã
Lv.92ã¯å€æããããšããããšã¯çå®ã§ãã;"
] | 6 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽãLv.79ã¯åœ¢å®¹ãé£ããªãããã®ãŽããŽãLv.79ã¯å€æããããšããããšã¯ç¢ºãã§ãã fact2: ããä»®ã«ããã®ãŽããŽãLv.79ã¯äœ¿ãå°œãããã©åœ¢å®¹ãé£ããªãããšããããšã¯ééãã§ãããšãããšãã®ããããLv.74ã¯åœ¢å®¹ãé£ããªã fact3: ããããã®ãŽããŽãLv.79ã䜿ãå°œãããªããã®ãŽããŽãLv.79ã¯å€æãã fact4: ãããã®ããããLv.74ã䜿ãå°œããã°ãã®ãŽããŽãLv.79ã¯åœ¢å®¹ãé£ã fact5: ãããã®ã¿ãã¿ã«ã
Lv.92ããããã£ãœããšãããšå€æãã fact6: ããã®ãŽããŽãLv.79ã¯äœ¿ãå°œããããšããããšã¯çå®ã§ãã fact7: ãã®ã¿ãã¿ã«ã
Lv.92ã¯ãããã£ãœã ; $hypothesis$ = ãã®ããããLv.74ã¯åœ¢å®¹ãé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{a} -> {B}{a} fact2: ¬({A}{a} & ¬{C}{a}) -> ¬{C}{b} fact3: {A}{a} -> {B}{a} fact4: {A}{b} -> {C}{a} fact5: {D}{c} -> {B}{c} fact6: {A}{a} fact7: {D}{c} ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽã«ãLv.87ã¯è§£ãé£ã | {A}{a} | fact1: ããããã¢ã³ã¹ã¿ãŒãéç¡ããªããªãã°ããã¯è§£ãé£ãããã®äžèžèŠãã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è§£ãé£ã | fact1: (x): ¬{B}x -> ({A}x & {AN}x) fact2: (x): {A}x | [
"fact2 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è§£ãé£ã; int1 -> hypothesis;"
] | [
"fact2 -> int1: (x): {A}x; int1 -> hypothesis;"
] | å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯èžèŠãã | (x): {AN}x | [
"fact3 -> int2: ä»®ã«ãã®ãŽããŽã«ãLv.87ãéç¡ããªããªã解ãé£ãããã€èžèŠãã;"
] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒãéç¡ããªããªãã°ããã¯è§£ãé£ãããã®äžèžèŠãã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è§£ãé£ã ; $hypothesis$ = ãã®ãŽããŽã«ãLv.87ã¯è§£ãé£ã ; $proof$ = | fact2 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è§£ãé£ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{B}x -> ({A}x & {AN}x) fact2: (x): {A}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact2 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.97ã¯æºãããªããªã | ¬{D}{b} | fact1: ããããã®ãŸãªãŸã«Lv.4ã絶ãé£ããªããã®ã·ãªã·ã¡ã
Lv.23ã¯ç³Ÿåãã fact2: ãããããã®ãŸãªãŸã«Lv.4ã¯æºãããªããšããããšã¯ãªãããšããããšã¯æ£ãããªããã®ãŽããŽãLv.97ã¯æºãããªããªã fact3: ãã®ã·ãªã·ã¡ã
Lv.23ã¯ç³Ÿåãããªãããã®ãŽããŽãLv.97ã¯æºãããªãããšããããšã¯æãç«ã€ fact4: ããä»®ã«ããã®ã·ãªã·ã¡ã
Lv.23ã¯çµ¶ãé£ããªãäžæ¹ã§æºãããªãããšããããšã¯ééã£ãŠãããšãããšãã®ãŸãªãŸã«Lv.4ã¯æºãããªããªã fact5: ãã®ãŸãªãŸã«Lv.4ãæ³åãé£ããšãããšãã®ã·ãªã·ã¡ã
Lv.23ã¯ç³Ÿåãã fact6: ãã®ãŸãªãŸã«Lv.4ã¯æ³åãé£ãã絶ãé£ãããããã¯äž¡æ¹ã fact7: ãã®ãŸãªãŸã«Lv.4ã¯ç³Ÿåããããããã¯ããã¯çµ¶ãé£ã | fact1: {B}{a} -> {C}{c} fact2: ¬{D}{a} -> ¬{D}{b} fact3: {C}{c} -> {D}{b} fact4: ¬(¬{B}{c} & {D}{c}) -> ¬{D}{a} fact5: {A}{a} -> {C}{c} fact6: ({A}{a} v {B}{a}) fact7: ({C}{a} v {B}{a}) | [
"fact6 & fact5 & fact1 -> int1: ããã®ã·ãªã·ã¡ã
Lv.23ã¯ç³Ÿåããããšããããšã¯ç¢ºãã§ãã; int1 & fact3 -> hypothesis;"
] | [
"fact6 & fact5 & fact1 -> int1: {C}{c}; int1 & fact3 -> hypothesis;"
] | ãã®ãŽããŽãLv.97ã¯æºãããªããªã | ¬{D}{b} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŸãªãŸã«Lv.4ã絶ãé£ããªããã®ã·ãªã·ã¡ã
Lv.23ã¯ç³Ÿåãã fact2: ãããããã®ãŸãªãŸã«Lv.4ã¯æºãããªããšããããšã¯ãªãããšããããšã¯æ£ãããªããã®ãŽããŽãLv.97ã¯æºãããªããªã fact3: ãã®ã·ãªã·ã¡ã
Lv.23ã¯ç³Ÿåãããªãããã®ãŽããŽãLv.97ã¯æºãããªãããšããããšã¯æãç«ã€ fact4: ããä»®ã«ããã®ã·ãªã·ã¡ã
Lv.23ã¯çµ¶ãé£ããªãäžæ¹ã§æºãããªãããšããããšã¯ééã£ãŠãããšãããšãã®ãŸãªãŸã«Lv.4ã¯æºãããªããªã fact5: ãã®ãŸãªãŸã«Lv.4ãæ³åãé£ããšãããšãã®ã·ãªã·ã¡ã
Lv.23ã¯ç³Ÿåãã fact6: ãã®ãŸãªãŸã«Lv.4ã¯æ³åãé£ãã絶ãé£ãããããã¯äž¡æ¹ã fact7: ãã®ãŸãªãŸã«Lv.4ã¯ç³Ÿåããããããã¯ããã¯çµ¶ãé£ã ; $hypothesis$ = ãã®ãŽããŽãLv.97ã¯æºãããªããªã ; $proof$ = | fact6 & fact5 & fact1 -> int1: ããã®ã·ãªã·ã¡ã
Lv.23ã¯ç³Ÿåããããšããããšã¯ç¢ºãã§ãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> {C}{c} fact2: ¬{D}{a} -> ¬{D}{b} fact3: {C}{c} -> {D}{b} fact4: ¬(¬{B}{c} & {D}{c}) -> ¬{D}{a} fact5: {A}{a} -> {C}{c} fact6: ({A}{a} v {B}{a}) fact7: ({C}{a} v {B}{a}) ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact6 & fact5 & fact1 -> int1: {C}{c}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã¡ã
ãœã«ã
Lv.57ã¯é«ããšããããšã¯ãªã | ¬{D}{c} | fact1: ããããäœããã®ã¢ã³ã¹ã¿ãŒãåããªãããã¯å°ãããšããããšã¯æãç«ã€ fact2: ããããã®ãœã«ããœã«ãLv.44ãåããªããã®ãœã¡ã
ãœã«ã
Lv.57ã¯ç©åãŒã fact3: ä»®ã«ãã®ãœã¡ã
ãœã«ã
Lv.57ãç©åãŒããšãããšãã®ãœã¡ã
ãœã«ã
Lv.57ã¯é«ã fact4: ãããã®ãœã«ããœã«ãLv.44ã¯ã¬ã³ã¿ã«åºæ¥ããªãããã®ãœã¡ã
ãœã«ã
Lv.57ã¯ç©åãŒããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã | fact1: (x): {A}x -> {GF}x fact2: {A}{a} -> {C}{c} fact3: {C}{c} -> {D}{c} fact4: {B}{a} -> {C}{c} | [] | [] | ããããã®ãœã¡ã
ãœã«ã
Lv.57ãåããšããããã®ãœã¡ã
ãœã«ã
Lv.57ã¯å°ã | {A}{c} -> {GF}{c} | [
"fact5 -> hypothesis;"
] | 1 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ããããäœããã®ã¢ã³ã¹ã¿ãŒãåããªãããã¯å°ãããšããããšã¯æãç«ã€ fact2: ããããã®ãœã«ããœã«ãLv.44ãåããªããã®ãœã¡ã
ãœã«ã
Lv.57ã¯ç©åãŒã fact3: ä»®ã«ãã®ãœã¡ã
ãœã«ã
Lv.57ãç©åãŒããšãããšãã®ãœã¡ã
ãœã«ã
Lv.57ã¯é«ã fact4: ãããã®ãœã«ããœã«ãLv.44ã¯ã¬ã³ã¿ã«åºæ¥ããªãããã®ãœã¡ã
ãœã«ã
Lv.57ã¯ç©åãŒããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ãã®ãœã¡ã
ãœã«ã
Lv.57ã¯é«ããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {A}x -> {GF}x fact2: {A}{a} -> {C}{c} fact3: {C}{c} -> {D}{c} fact4: {B}{a} -> {C}{c} ; $hypothesis$ = ¬{D}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.44ã¯ã¿ã€ãã«ããã | {C}{b} | fact1: ãã®ã¿ãªã¿ãLv.68ã¯èŸæ°èããŠããŸãã«åããŸãã fact2: ããä»®ã«ãã®ã¿ãªã¿ãLv.68ãåããŸãããšããããã®ã¿ãã¿ãLv.44ã¯ã¿ã€ãã«ããã fact3: ä»®ã«ãã®ã¿ãã¿ãLv.44ãåããŸãããªãã°ã¿ã€ãã«ããããªãããŸãèŸæ°èããªã fact4: ãããã®ã¿ãªã¿ãLv.68ãã¿ã€ãã«ããããšããã°ãã®ã¿ãã¿ãLv.44ã¯åããŸãã | fact1: ({A}{a} & {B}{a}) fact2: {B}{a} -> {C}{b} fact3: {B}{b} -> (¬{C}{b} & ¬{A}{b}) fact4: {C}{a} -> {B}{b} | [
"fact1 -> int1: ãã®ã¿ãªã¿ãLv.68ã¯åããŸãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.44ã¯ã¿ã€ãã«ããããªã | ¬{C}{b} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ãªã¿ãLv.68ã¯èŸæ°èããŠããŸãã«åããŸãã fact2: ããä»®ã«ãã®ã¿ãªã¿ãLv.68ãåããŸãããšããããã®ã¿ãã¿ãLv.44ã¯ã¿ã€ãã«ããã fact3: ä»®ã«ãã®ã¿ãã¿ãLv.44ãåããŸãããªãã°ã¿ã€ãã«ããããªãããŸãèŸæ°èããªã fact4: ãããã®ã¿ãªã¿ãLv.68ãã¿ã€ãã«ããããšããã°ãã®ã¿ãã¿ãLv.44ã¯åããŸãã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.44ã¯ã¿ã€ãã«ããã ; $proof$ = | fact1 -> int1: ãã®ã¿ãªã¿ãLv.68ã¯åããŸãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {B}{a} -> {C}{b} fact3: {B}{b} -> (¬{C}{b} & ¬{A}{b}) fact4: {C}{a} -> {B}{b} ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.90ã¯ã¿ã€ãã«ããã | {C}{a} | fact1: ããä»®ã«ãã®ãŽããŽãLv.90ãããã©ããšãããšè¡åè¯ã fact2: ããããã®ã·ãã·ã®Lv.86ã¯è¡åè¯ããŠæŽã«ã¿ã€ãã«ãããããšããããšã¯ééãã§ãããšããã°ãã®ãŽããŽãLv.90ã¯ã¿ã€ãã«ããããªã fact3: ãã®ãŽããŽãLv.90ã¯ããã©ã fact4: ãã®ãœããœã¡ã
Lv.24ã¯ããã©ã | fact1: {A}{a} -> {B}{a} fact2: ¬({B}{b} & {C}{b}) -> ¬{C}{a} fact3: {A}{a} fact4: {A}{aq} | [
"fact1 & fact3 -> int1: ãã®ãŽããŽãLv.90ã¯è¡åè¯ã;"
] | [
"fact1 & fact3 -> int1: {B}{a};"
] | ãã®ãŽããŽãLv.90ã¯ã¿ã€ãã«ããããªã | ¬{C}{a} | [] | 5 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽãLv.90ãããã©ããšãããšè¡åè¯ã fact2: ããããã®ã·ãã·ã®Lv.86ã¯è¡åè¯ããŠæŽã«ã¿ã€ãã«ãããããšããããšã¯ééãã§ãããšããã°ãã®ãŽããŽãLv.90ã¯ã¿ã€ãã«ããããªã fact3: ãã®ãŽããŽãLv.90ã¯ããã©ã fact4: ãã®ãœããœã¡ã
Lv.24ã¯ããã©ã ; $hypothesis$ = ãã®ãŽããŽãLv.90ã¯ã¿ã€ãã«ããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: ¬({B}{b} & {C}{b}) -> ¬{C}{a} fact3: {A}{a} fact4: {A}{aq} ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | 解ããããšã¯èµ·ãããªã | ¬{D} | fact1: ããã«ããã«ãLv.77äºä»¶ã¯èµ·ããªãããã©é€é¬Œã£ãœããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªããšããããœã¡ã
ãœã«ã
Lv.14äºä»¶ã¯çããªã fact2: 確ãããããšããããšãçãã fact3: ããããå€ããããšããããšãçºçããããšããããšã¯åœã ãšãããšããã«ããã«ãLv.77äºä»¶ã¯èµ·ããªããé€é¬Œã£ãœããšããããšãçããããšããããšã¯æ£ãããªã fact4: ä»®ã«ããœã«ã
ãœãªLv.11äºä»¶ãçããªããŠãã€ãœããœã¡ãLv.9äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°å€ããããšããããšã¯çºçããªã fact5: æäœãæããšããããšãèµ·ãããæããšããããšãèµ·ããããŸãã¯äž¡æ¹ã§ãã fact6: æããšããããšã¯ãœã¡ã
ãœã«ã
Lv.14äºä»¶ã®åå ãšãªã fact7: ãœã¡ã
ãœã«ã
Lv.14äºä»¶ã解ããããšã¯çºçããªããšããããšãé»ã fact8: æäœãæããšããããšã¯èµ·ããªããããã«æããšããããšã¯çããªããªãã°è§£ããããšã¯èµ·ãããªã fact9: ãœã¡ã
ãœã«ã
Lv.14äºä»¶ã¯çããªããšããããšã¯æäœãæããšããããšãèµ·ãããšããããšã«é»æ¢ããã | fact1: ¬(¬{E} & {F}) -> ¬{C} fact2: {IS} fact3: ¬{G} -> ¬(¬{E} & {F}) fact4: ¬(¬{H} & ¬{I}) -> ¬{G} fact5: ({A} v {B}) fact6: {B} -> {C} fact7: {C} -> {D} fact8: (¬{A} & ¬{B}) -> ¬{D} fact9: {A} -> {C} | [
"fact5 & fact9 & fact6 -> int1: ãœã¡ã
ãœã«ã
Lv.14äºä»¶ãèµ·ãã; int1 & fact7 -> hypothesis;"
] | [
"fact5 & fact9 & fact6 -> int1: {C}; int1 & fact7 -> hypothesis;"
] | 解ããããšã¯èµ·ãããªã | ¬{D} | [] | 9 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã«ããã«ãLv.77äºä»¶ã¯èµ·ããªãããã©é€é¬Œã£ãœããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªããšããããœã¡ã
ãœã«ã
Lv.14äºä»¶ã¯çããªã fact2: 確ãããããšããããšãçãã fact3: ããããå€ããããšããããšãçºçããããšããããšã¯åœã ãšãããšããã«ããã«ãLv.77äºä»¶ã¯èµ·ããªããé€é¬Œã£ãœããšããããšãçããããšããããšã¯æ£ãããªã fact4: ä»®ã«ããœã«ã
ãœãªLv.11äºä»¶ãçããªããŠãã€ãœããœã¡ãLv.9äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°å€ããããšããããšã¯çºçããªã fact5: æäœãæããšããããšãèµ·ãããæããšããããšãèµ·ããããŸãã¯äž¡æ¹ã§ãã fact6: æããšããããšã¯ãœã¡ã
ãœã«ã
Lv.14äºä»¶ã®åå ãšãªã fact7: ãœã¡ã
ãœã«ã
Lv.14äºä»¶ã解ããããšã¯çºçããªããšããããšãé»ã fact8: æäœãæããšããããšã¯èµ·ããªããããã«æããšããããšã¯çããªããªãã°è§£ããããšã¯èµ·ãããªã fact9: ãœã¡ã
ãœã«ã
Lv.14äºä»¶ã¯çããªããšããããšã¯æäœãæããšããããšãèµ·ãããšããããšã«é»æ¢ããã ; $hypothesis$ = 解ããããšã¯èµ·ãããªã ; $proof$ = | fact5 & fact9 & fact6 -> int1: ãœã¡ã
ãœã«ã
Lv.14äºä»¶ãèµ·ãã; int1 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{E} & {F}) -> ¬{C} fact2: {IS} fact3: ¬{G} -> ¬(¬{E} & {F}) fact4: ¬(¬{H} & ¬{I}) -> ¬{G} fact5: ({A} v {B}) fact6: {B} -> {C} fact7: {C} -> {D} fact8: (¬{A} & ¬{B}) -> ¬{D} fact9: {A} -> {C} ; $hypothesis$ = ¬{D} ; $proof$ = | fact5 & fact9 & fact6 -> int1: {C}; int1 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ãLv.80ã¯ã现ããªã | ¬{C}{c} | fact1: ããã®ãŽã¡ããŽã«ãLv.56ã¯ã现ãããšããããšã¯æãç«ã€ fact2: ä»®ã«ãã®ãœããœãLv.29ãããã¯ãããšããããšã¯ãªããšããã°ãã®ãŽã¡ããŽã«ãLv.56ã¯ããã€ãªã fact3: ãã®ãœããœãLv.29ã¯ããã¯ããªã fact4: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããªããªãã°ãããã¯ããã¯ããããã®äžããã€ãªãããšããããšã¯æãç«ããªã fact5: ããä»®ã«ãã®ãŽã¡ããŽã«ãLv.56ãããã€ãªããšãããšãã®ã·ãã·ãLv.80ã¯ã现ã | fact1: {C}{b} fact2: ¬{A}{a} -> {B}{b} fact3: ¬{A}{a} fact4: (x): ¬{D}x -> ¬({A}x & {B}x) fact5: {B}{b} -> {C}{c} | [
"fact2 & fact3 -> int1: ãã®ãŽã¡ããŽã«ãLv.56ã¯ããã€ãªã; int1 & fact5 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: {B}{b}; int1 & fact5 -> hypothesis;"
] | ãã®ã·ãã·ãLv.80ã¯ã现ããªã | ¬{C}{c} | [
"fact6 -> int2: ããããã®ãœããœãLv.29ã¯ç«ãŠé£ããªãããšããããšã¯çå®ã§ãããªãã°ããã®ãœããœãLv.29ã¯ããã¯ãããããã€ãªãããšããããšã¯æãç«ããªã;"
] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã®ãŽã¡ããŽã«ãLv.56ã¯ã现ãããšããããšã¯æãç«ã€ fact2: ä»®ã«ãã®ãœããœãLv.29ãããã¯ãããšããããšã¯ãªããšããã°ãã®ãŽã¡ããŽã«ãLv.56ã¯ããã€ãªã fact3: ãã®ãœããœãLv.29ã¯ããã¯ããªã fact4: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããªããªãã°ãããã¯ããã¯ããããã®äžããã€ãªãããšããããšã¯æãç«ããªã fact5: ããä»®ã«ãã®ãŽã¡ããŽã«ãLv.56ãããã€ãªããšãããšãã®ã·ãã·ãLv.80ã¯ã现ã ; $hypothesis$ = ãã®ã·ãã·ãLv.80ã¯ã现ããªã ; $proof$ = | fact2 & fact3 -> int1: ãã®ãŽã¡ããŽã«ãLv.56ã¯ããã€ãªã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{b} fact2: ¬{A}{a} -> {B}{b} fact3: ¬{A}{a} fact4: (x): ¬{D}x -> ¬({A}x & {B}x) fact5: {B}{b} -> {C}{c} ; $hypothesis$ = ¬{C}{c} ; $proof$ = | fact2 & fact3 -> int1: {B}{b}; int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | åå
¥ãããšãèµ·ãã | {C} | fact1: è¿œãæ£ããããšãèµ·ãã fact2: ãããŸããŸãLv.33äºä»¶ãšã¿ãã¿ãLv.54äºä»¶ãçºçããã°åããé£ããšããããšã¯çããªã fact3: ãæ¡ãæããšããããšã¯çããªãããšããããšã¯åå
¥ãããšãšè¿œãæ£ããããšãèµ·ãããæã fact4: ãŽããŽã¡ãLv.28äºä»¶ãšã¿ãã¿ã«ãLv.41äºä»¶ã©ã¡ãããçºçãã fact5: æ¡ãæããšããããšãèµ·ãã fact6: ä»®ã«è¿œãæ£ããããšãšæ¡ãæããšããããšäž¡æ¹ãçãããªãåå
¥ãããšã¯çºçããªã | fact1: {A} fact2: ({HD} & {ES}) -> ¬{FA} fact3: ¬{B} -> ({C} & {A}) fact4: ({BO} & {O}) fact5: {B} fact6: ({A} & {B}) -> ¬{C} | [
"fact1 & fact5 -> int1: è¿œãæ£ããããšãšæ¡ãæããšããããšã©ã¡ãããçãã; int1 & fact6 -> hypothesis;"
] | [
"fact1 & fact5 -> int1: ({A} & {B}); int1 & fact6 -> hypothesis;"
] | åå
¥ãããšãèµ·ãã | {C} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: è¿œãæ£ããããšãèµ·ãã fact2: ãããŸããŸãLv.33äºä»¶ãšã¿ãã¿ãLv.54äºä»¶ãçºçããã°åããé£ããšããããšã¯çããªã fact3: ãæ¡ãæããšããããšã¯çããªãããšããããšã¯åå
¥ãããšãšè¿œãæ£ããããšãèµ·ãããæã fact4: ãŽããŽã¡ãLv.28äºä»¶ãšã¿ãã¿ã«ãLv.41äºä»¶ã©ã¡ãããçºçãã fact5: æ¡ãæããšããããšãèµ·ãã fact6: ä»®ã«è¿œãæ£ããããšãšæ¡ãæããšããããšäž¡æ¹ãçãããªãåå
¥ãããšã¯çºçããªã ; $hypothesis$ = åå
¥ãããšãèµ·ãã ; $proof$ = | fact1 & fact5 -> int1: è¿œãæ£ããããšãšæ¡ãæããšããããšã©ã¡ãããçãã; int1 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: ({HD} & {ES}) -> ¬{FA} fact3: ¬{B} -> ({C} & {A}) fact4: ({BO} & {O}) fact5: {B} fact6: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | fact1 & fact5 -> int1: ({A} & {B}); int1 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã¡ããŸã«ãLv.76ã¯é Œãç¡ã | {C}{b} | fact1: ãã®ãŸããŸãLv.87ãèã霧ããšãããçãæã fact2: ãã®ãŸããŸãLv.87ãçãæããšãããšãã®ãŸã¡ããŸã«ãLv.76ã¯é Œãç¡ã fact3: ãã®ãœããœãLv.93ã¯çãæã fact4: ãã®ã·ã¡ãã·ãLv.21ã¯èã霧ã fact5: ãã®ãŸããŸãLv.87ã¯çãæ·±ã | fact1: {A}{a} -> {B}{a} fact2: {B}{a} -> {C}{b} fact3: {B}{il} fact4: {A}{aq} fact5: {EE}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŸããŸãLv.87ãèã霧ããšãããçãæã fact2: ãã®ãŸããŸãLv.87ãçãæããšãããšãã®ãŸã¡ããŸã«ãLv.76ã¯é Œãç¡ã fact3: ãã®ãœããœãLv.93ã¯çãæã fact4: ãã®ã·ã¡ãã·ãLv.21ã¯èã霧ã fact5: ãã®ãŸããŸãLv.87ã¯çãæ·±ã ; $hypothesis$ = ãã®ãŸã¡ããŸã«ãLv.76ã¯é Œãç¡ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: {B}{a} -> {C}{b} fact3: {B}{il} fact4: {A}{aq} fact5: {EE}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããªããLv.7ã¯äŸãã | {C}{b} | fact1: ä»®ã«ããã®ã·ã¡ãã·ãLv.93ã¯æãããŠä¹Ÿãæãããšããããšã¯æãç«ã€ãšãããšãã®ããªããLv.7ã¯äŸãããšããããšã¯ãªã fact2: ãã®ã·ã¡ãã·ãLv.93ã¯æãã fact3: ãã®ã·ã¡ãã·ãLv.93ã¯ä¹Ÿãæã fact4: ãã®ã·ã¡ãã·ãLv.93ãäŸãããšãããšãã®ããªããLv.7ã¯äŸãã | fact1: ({A}{a} & {B}{a}) -> ¬{C}{b} fact2: {A}{a} fact3: {B}{a} fact4: {C}{a} -> {C}{b} | [
"fact2 & fact3 -> int1: ãã®ã·ã¡ãã·ãLv.93ã¯æããã也ãæã; int1 & fact1 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact1 -> hypothesis;"
] | ãã®ããªããLv.7ã¯äŸãã | {C}{b} | [] | 4 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ããã®ã·ã¡ãã·ãLv.93ã¯æãããŠä¹Ÿãæãããšããããšã¯æãç«ã€ãšãããšãã®ããªããLv.7ã¯äŸãããšããããšã¯ãªã fact2: ãã®ã·ã¡ãã·ãLv.93ã¯æãã fact3: ãã®ã·ã¡ãã·ãLv.93ã¯ä¹Ÿãæã fact4: ãã®ã·ã¡ãã·ãLv.93ãäŸãããšãããšãã®ããªããLv.7ã¯äŸãã ; $hypothesis$ = ãã®ããªããLv.7ã¯äŸãã ; $proof$ = | fact2 & fact3 -> int1: ãã®ã·ã¡ãã·ãLv.93ã¯æããã也ãæã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) -> ¬{C}{b} fact2: {A}{a} fact3: {B}{a} fact4: {C}{a} -> {C}{b} ; $hypothesis$ = {C}{b} ; $proof$ = | fact2 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽããŽãLv.23ã¯æžãæããèããªããäž¡æ¹ã ããšããããšã¯æãç«ããªã | ¬({B}{a} v ¬{C}{a}) | fact1: ããããé
ãæããã¢ã³ã¹ã¿ãŒã¯ãããšããã°ããã®ãŽããŽãLv.23ã¯æžãæãããããã¯ããã¯èããšããããšã¯ãªããäž¡æ¹ãšãã ããšããããšã¯ééã£ãŠãã fact2: ãé
ãæããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãšããã¢ã³ã¹ã¿ãŒãæžãæããšãããããã¯é
ãæã | fact1: (x): {A}x -> ¬({B}{a} v ¬{C}{a}) fact2: (Ex): {A}x fact3: (x): {B}x -> {A}x | [
"fact2 -> int1: ãé
ãæããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: (Ex): {A}x; int1 & fact1 -> hypothesis;"
] | ããã®ã¿ãã¿ã«ã
Lv.46ã¯æã
ããããããã¯ããã¯çæž©ããªãããããã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠãã | ¬({GB}{go} v ¬{CG}{go}) | [
"fact4 -> int2: ä»®ã«ãã®ãŽããŽãLv.23ãæžãæããšããã°é
ãæã;"
] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããé
ãæããã¢ã³ã¹ã¿ãŒã¯ãããšããã°ããã®ãŽããŽãLv.23ã¯æžãæãããããã¯ããã¯èããšããããšã¯ãªããäž¡æ¹ãšãã ããšããããšã¯ééã£ãŠãã fact2: ãé
ãæããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãšããã¢ã³ã¹ã¿ãŒãæžãæããšãããããã¯é
ãæã ; $hypothesis$ = ããã®ãŽããŽãLv.23ã¯æžãæããèããªããäž¡æ¹ã ããšããããšã¯æãç«ããªã ; $proof$ = | fact2 -> int1: ãé
ãæããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x -> ¬({B}{a} v ¬{C}{a}) fact2: (Ex): {A}x fact3: (x): {B}x -> {A}x ; $hypothesis$ = ¬({B}{a} v ¬{C}{a}) ; $proof$ = | fact2 -> int1: (Ex): {A}x; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸãLv.9ã¯ç©æããªã | ¬{A}{a} | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ã¿ãªã¿ãLv.15äºä»¶ã§ãªããããã¯è¿å¯ãé£ããšããããšã¯ãªã | fact1: fake_formula | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ã¿ãªã¿ãLv.15äºä»¶ã§ãªããããã¯è¿å¯ãé£ããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŸããŸãLv.9ã¯ç©æããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ã€ããªããšããããšã¯çºçããªã | ¬{B} | fact1: ãèªããããšããããšã¯èµ·ããªãããšããããšã¯ãã¿ã®ã¿ã¡ã
Lv.39äºä»¶ãšå€åãæããšããããšãèµ·ããã¯ç¢ºãã ããšããããšãçãããã fact2: æšããããšããããšã¯ã€ããªããšããããšã«åž°çµãã fact3: æšããããšããããšããã³åãŸãããšããããšãèµ·ããã¯ã€ããªããšããããšãé»æ¢ãã fact4: èªããããšããããšã¯æãé£ããšããããšãåå ã§ãã fact5: ããã¿ã®ã¿ã¡ã
Lv.39äºä»¶ãèµ·ãããšãããã€ããªããšããããšã¯èµ·ããªããåãŸãããšããããšãçºçãã fact6: èªããããšããããšãèµ·ãããšããããšã¯ãã¿ã®ã¿ã¡ã
Lv.39äºä»¶ã§ã¯ãªããŠå€åãæããšããããšãçããããšããããšãçãããã | fact1: ¬{F} -> ({D} & {E}) fact2: {A} -> {B} fact3: ({A} & {C}) -> ¬{B} fact4: {G} -> {F} fact5: {D} -> (¬{B} & {C}) fact6: {F} -> (¬{D} & {E}) | [] | [] | ã€ããªããšããããšã¯çºçããªã | ¬{B} | [] | 8 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãèªããããšããããšã¯èµ·ããªãããšããããšã¯ãã¿ã®ã¿ã¡ã
Lv.39äºä»¶ãšå€åãæããšããããšãèµ·ããã¯ç¢ºãã ããšããããšãçãããã fact2: æšããããšããããšã¯ã€ããªããšããããšã«åž°çµãã fact3: æšããããšããããšããã³åãŸãããšããããšãèµ·ããã¯ã€ããªããšããããšãé»æ¢ãã fact4: èªããããšããããšã¯æãé£ããšããããšãåå ã§ãã fact5: ããã¿ã®ã¿ã¡ã
Lv.39äºä»¶ãèµ·ãããšãããã€ããªããšããããšã¯èµ·ããªããåãŸãããšããããšãçºçãã fact6: èªããããšããããšãèµ·ãããšããããšã¯ãã¿ã®ã¿ã¡ã
Lv.39äºä»¶ã§ã¯ãªããŠå€åãæããšããããšãçããããšããããšãçãããã ; $hypothesis$ = ã€ããªããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{F} -> ({D} & {E}) fact2: {A} -> {B} fact3: ({A} & {C}) -> ¬{B} fact4: {G} -> {F} fact5: {D} -> (¬{B} & {C}) fact6: {F} -> (¬{D} & {E}) ; $hypothesis$ = ¬{B} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããããLv.61äºä»¶ãèµ·ãããæãããšããããšã¯çºçããªãããšããããšã¯æãç«ããªã | ¬({B} & ¬{C}) | fact1: èŠé£ããšããããšãèµ·ãã fact2: çœããšããããšãèµ·ãã fact3: å§ãããšããããšã¯èµ·ãããªã fact4: ä»®ã«çœããšããããšã¯èµ·ãããªããšãããšãããããLv.61äºä»¶ãçãããæãããšããããšã¯èµ·ãããªãããšããããšã¯èª€ã£ãŠãã fact5: æãããšããããšã¯èµ·ãããªã fact6: èŠããšããããšãèµ·ããäžæ¹ã§ãŸããŸã®Lv.28äºä»¶ã¯çããªã | fact1: {HA} fact2: {A} fact3: ¬{IC} fact4: ¬{A} -> ¬({B} & ¬{C}) fact5: ¬{C} fact6: ({EE} & ¬{FO}) | [] | [] | ãããããLv.61äºä»¶ãèµ·ãããæãããšããããšã¯çºçããªãããšããããšã¯æãç«ããªã | ¬({B} & ¬{C}) | [] | 6 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: èŠé£ããšããããšãèµ·ãã fact2: çœããšããããšãèµ·ãã fact3: å§ãããšããããšã¯èµ·ãããªã fact4: ä»®ã«çœããšããããšã¯èµ·ãããªããšãããšãããããLv.61äºä»¶ãçãããæãããšããããšã¯èµ·ãããªãããšããããšã¯èª€ã£ãŠãã fact5: æãããšããããšã¯èµ·ãããªã fact6: èŠããšããããšãèµ·ããäžæ¹ã§ãŸããŸã®Lv.28äºä»¶ã¯çããªã ; $hypothesis$ = ãããããLv.61äºä»¶ãèµ·ãããæãããšããããšã¯çºçããªãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {HA} fact2: {A} fact3: ¬{IC} fact4: ¬{A} -> ¬({B} & ¬{C}) fact5: ¬{C} fact6: ({EE} & ¬{FO}) ; $hypothesis$ = ¬({B} & ¬{C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãçšè¿ããšããããšãèµ·ããããšããããšã¯æãç«ã€ | {C} | fact1: 埡åºããšããããšã¯ãéœãæããšããããšãçºçããããŸãã¯åªããšããããšã¯çºçããªãããšããããšãçºçããã fact2: ãŽã«ããŽãLv.25äºä»¶ãçºçãããå ããŠãŽã¡ããŽãLv.56äºä»¶ã¯çºçãã fact3: ããä»®ã«ããŽãªãŽãLv.58äºä»¶ã¯çããªãããšããããšã¯çå®ã ãšãããšçšè¿ããšããããšãçããã埡éããäžããããšãçºçãã fact4: ããŽãªãŽãLv.58äºä»¶ãèµ·ããããšããããšã¯ééã£ãŠããªã fact5: ãœã«ããœãLv.94äºä»¶ãšåºååºæ¥ãããšãçãã fact6: ããŸããŸãLv.69äºä»¶ã¯çºçããªãããšããããšã¯ã¿ãã¿ã«ãLv.21äºä»¶ãšãŽããŽãªLv.10äºä»¶ãèµ·ããããã£ããã fact7: 埡éããäžããããšãèµ·ãã fact8: ä»®ã«åŸ¡éããäžããããšãšãŽãªãŽãLv.58äºä»¶ãçºçãããšãããçšè¿ããšããããšã¯èµ·ããªã | fact1: {F} -> ({D} v ¬{E}) fact2: ({FM} & {FD}) fact3: ¬{B} -> ({C} & {A}) fact4: {B} fact5: ({H} & {HB}) fact6: ({FJ} & {HR}) -> ¬{GL} fact7: {A} fact8: ({A} & {B}) -> ¬{C} | [
"fact7 & fact4 -> int1: 埡éããäžããããšãšãŽãªãŽãLv.58äºä»¶äž¡æ¹ãèµ·ãã; int1 & fact8 -> hypothesis;"
] | [
"fact7 & fact4 -> int1: ({A} & {B}); int1 & fact8 -> hypothesis;"
] | ãçšè¿ããšããããšãèµ·ããããšããããšã¯æãç«ã€ | {C} | [] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: 埡åºããšããããšã¯ãéœãæããšããããšãçºçããããŸãã¯åªããšããããšã¯çºçããªãããšããããšãçºçããã fact2: ãŽã«ããŽãLv.25äºä»¶ãçºçãããå ããŠãŽã¡ããŽãLv.56äºä»¶ã¯çºçãã fact3: ããä»®ã«ããŽãªãŽãLv.58äºä»¶ã¯çããªãããšããããšã¯çå®ã ãšãããšçšè¿ããšããããšãçããã埡éããäžããããšãçºçãã fact4: ããŽãªãŽãLv.58äºä»¶ãèµ·ããããšããããšã¯ééã£ãŠããªã fact5: ãœã«ããœãLv.94äºä»¶ãšåºååºæ¥ãããšãçãã fact6: ããŸããŸãLv.69äºä»¶ã¯çºçããªãããšããããšã¯ã¿ãã¿ã«ãLv.21äºä»¶ãšãŽããŽãªLv.10äºä»¶ãèµ·ããããã£ããã fact7: 埡éããäžããããšãèµ·ãã fact8: ä»®ã«åŸ¡éããäžããããšãšãŽãªãŽãLv.58äºä»¶ãçºçãããšãããçšè¿ããšããããšã¯èµ·ããªã ; $hypothesis$ = ãçšè¿ããšããããšãèµ·ããããšããããšã¯æãç«ã€ ; $proof$ = | fact7 & fact4 -> int1: 埡éããäžããããšãšãŽãªãŽãLv.58äºä»¶äž¡æ¹ãèµ·ãã; int1 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {F} -> ({D} v ¬{E}) fact2: ({FM} & {FD}) fact3: ¬{B} -> ({C} & {A}) fact4: {B} fact5: ({H} & {HB}) fact6: ({FJ} & {HR}) -> ¬{GL} fact7: {A} fact8: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | fact7 & fact4 -> int1: ({A} & {B}); int1 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | ãŽã¡ããŽãLv.19äºä»¶ãèµ·ãã | {C} | fact1: éããšããããšãèµ·ãã fact2: ãŽã¡ããŽãLv.19äºä»¶ãçããªããšããããšã¯ããã¿ããšããããšãèµ·ãããéããšããããšãçããããšããããšã¯åå ã§ãã | fact1: {B} fact2: ({A} & {B}) -> ¬{C} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: éããšããããšãèµ·ãã fact2: ãŽã¡ããŽãLv.19äºä»¶ãçããªããšããããšã¯ããã¿ããšããããšãèµ·ãããéããšããããšãçããããšããããšã¯åå ã§ãã ; $hypothesis$ = ãŽã¡ããŽãLv.19äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} fact2: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŽã¡ã
ãŽãLv.94äºä»¶ãšã·ãã·ã¡ãLv.68äºä»¶äž¡æ¹ãèµ·ãã | ({A} & {C}) | fact1: 空äžççºããããšã¯èµ·ãããªããªãã°ããŽã¡ã
ãŽãLv.94äºä»¶ãçºçãããã·ãã·ã¡ãLv.68äºä»¶ãçããããšããããšã¯èª€ãã§ãã fact2: 空äžççºããããšãçãã fact3: ãŽã¡ã
ãŽãLv.94äºä»¶ããã³ç©ºäžççºããããšãèµ·ãã fact4: ã·ãã·ã¡ãLv.68äºä»¶ãçºçãã fact5: ããä»®ã«ç©ºäžççºããããšã¯èµ·ããªããšããããŽã¡ã
ãŽãLv.94äºä»¶ãšããããLv.53äºä»¶ã©ã¡ãããçºçãã | fact1: ¬{B} -> ¬({A} & {C}) fact2: {B} fact3: ({A} & {B}) fact4: {C} fact5: ¬{B} -> ({A} & {BQ}) | [
"fact3 -> int1: ãŽã¡ã
ãŽãLv.94äºä»¶ãèµ·ãã; int1 & fact4 -> hypothesis;"
] | [
"fact3 -> int1: {A}; int1 & fact4 -> hypothesis;"
] | ããŽã¡ã
ãŽãLv.94äºä»¶ããã³ã·ãã·ã¡ãLv.68äºä»¶äž¡æ¹ãšããçããããšããããšã¯åœã | ¬({A} & {C}) | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: 空äžççºããããšã¯èµ·ãããªããªãã°ããŽã¡ã
ãŽãLv.94äºä»¶ãçºçãããã·ãã·ã¡ãLv.68äºä»¶ãçããããšããããšã¯èª€ãã§ãã fact2: 空äžççºããããšãçãã fact3: ãŽã¡ã
ãŽãLv.94äºä»¶ããã³ç©ºäžççºããããšãèµ·ãã fact4: ã·ãã·ã¡ãLv.68äºä»¶ãçºçãã fact5: ããä»®ã«ç©ºäžççºããããšã¯èµ·ããªããšããããŽã¡ã
ãŽãLv.94äºä»¶ãšããããLv.53äºä»¶ã©ã¡ãããçºçãã ; $hypothesis$ = ãŽã¡ã
ãŽãLv.94äºä»¶ãšã·ãã·ã¡ãLv.68äºä»¶äž¡æ¹ãèµ·ãã ; $proof$ = | fact3 -> int1: ãŽã¡ã
ãŽãLv.94äºä»¶ãèµ·ãã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} -> ¬({A} & {C}) fact2: {B} fact3: ({A} & {B}) fact4: {C} fact5: ¬{B} -> ({A} & {BQ}) ; $hypothesis$ = ({A} & {C}) ; $proof$ = | fact3 -> int1: {A}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸã«ãŸãLv.51ã¯æ¬²ãã | {A}{a} | fact1: ããããã®ã¿ãªã¿ãªLv.6ã匷調ãããšãããå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æç¡ããšããããšã¯ãªãããŸãã¯é¢çœãããããã¯äž¡æ¹ãšãã | fact1: fake_formula | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã®ã¿ãªã¿ãªLv.6ã匷調ãããšãããå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æç¡ããšããããšã¯ãªãããŸãã¯é¢çœãããããã¯äž¡æ¹ãšãã ; $hypothesis$ = ãã®ãŸã«ãŸãLv.51ã¯æ¬²ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | 眪深ããšããããšã¯èµ·ãããªã | ¬{A} | fact1: ã·ã¡ãã·ã®Lv.68äºä»¶ãçºçãã fact2: çŸããé£ããšããããšãçãã fact3: ãå€ããšããããšã¯èµ·ããªãã倪ãé£ããšããããšã¯çºçããªãããšããããšã¯æãç«ããªããšãããšå
¥ãé£ããšããããšãçºçãã fact4: ãŸããŸãLv.45äºä»¶ã¯ãå
¥ãé£ããšããããšã¯èµ·ãããªããŠããã«çœªæ·±ããšããããšã¯èµ·ãããªãããšããããšãåŒãèµ·ãã fact5: ãã¿ãã¿ã«ãLv.13äºä»¶ãèµ·ããªããŠäœ¿ãæ²ãããšã¯çããªãããšããããšã¯æãç«ããªã fact6: ãå€ããšããããšã¯èµ·ãããªããŠå€ªãé£ããšããããšã¯çºçããªãããšããããšã¯æãç«ããªã fact7: 眪深ããšããããšã¯å
¥ãé£ããšããããšã«èªçºããã fact8: è¿å¯ãé£ããšããããšã¯èµ·ãããªããšããã°ãŸããŸãLv.45äºä»¶ãçãããããŸãã«å€¥ãããšããããšãèµ·ãã | fact1: {IH} fact2: {FQ} fact3: ¬(¬{AA} & ¬{AB}) -> {B} fact4: {C} -> (¬{B} & ¬{A}) fact5: ¬(¬{P} & ¬{GK}) fact6: ¬(¬{AA} & ¬{AB}) fact7: {B} -> {A} fact8: ¬{E} -> ({C} & {D}) | [
"fact3 & fact6 -> int1: å
¥ãé£ããšããããšãèµ·ãã; int1 & fact7 -> hypothesis;"
] | [
"fact3 & fact6 -> int1: {B}; int1 & fact7 -> hypothesis;"
] | 眪深ããšããããšã¯èµ·ãããªã | ¬{A} | [] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã·ã¡ãã·ã®Lv.68äºä»¶ãçºçãã fact2: çŸããé£ããšããããšãçãã fact3: ãå€ããšããããšã¯èµ·ããªãã倪ãé£ããšããããšã¯çºçããªãããšããããšã¯æãç«ããªããšãããšå
¥ãé£ããšããããšãçºçãã fact4: ãŸããŸãLv.45äºä»¶ã¯ãå
¥ãé£ããšããããšã¯èµ·ãããªããŠããã«çœªæ·±ããšããããšã¯èµ·ãããªãããšããããšãåŒãèµ·ãã fact5: ãã¿ãã¿ã«ãLv.13äºä»¶ãèµ·ããªããŠäœ¿ãæ²ãããšã¯çããªãããšããããšã¯æãç«ããªã fact6: ãå€ããšããããšã¯èµ·ãããªããŠå€ªãé£ããšããããšã¯çºçããªãããšããããšã¯æãç«ããªã fact7: 眪深ããšããããšã¯å
¥ãé£ããšããããšã«èªçºããã fact8: è¿å¯ãé£ããšããããšã¯èµ·ãããªããšããã°ãŸããŸãLv.45äºä»¶ãçãããããŸãã«å€¥ãããšããããšãèµ·ãã ; $hypothesis$ = 眪深ããšããããšã¯èµ·ãããªã ; $proof$ = | fact3 & fact6 -> int1: å
¥ãé£ããšããããšãèµ·ãã; int1 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {IH} fact2: {FQ} fact3: ¬(¬{AA} & ¬{AB}) -> {B} fact4: {C} -> (¬{B} & ¬{A}) fact5: ¬(¬{P} & ¬{GK}) fact6: ¬(¬{AA} & ¬{AB}) fact7: {B} -> {A} fact8: ¬{E} -> ({C} & {D}) ; $hypothesis$ = ¬{A} ; $proof$ = | fact3 & fact6 -> int1: {B}; int1 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | 称ãåŸãããšãèµ·ãã | {C} | fact1: ããŽããŽã¡ãLv.16äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã§ãã fact2: ããä»®ã«é話åºæ¥ãããšããã³å¢ãé£ããšããããšãèµ·ãããšãããã称ãåŸãããšã¯çºçããªãããšããããšã¯æãç«ã€ fact3: å¢ãé£ããšããããšãçºçãã fact4: å¢ãé£ããšããããšã¯çããªããªã称ãåŸãããšãšé話åºæ¥ãããšäž¡æ¹ãšããçãã fact5: ãå¢ãé£ããšããããšã¯çããªãããšããããšã¯åŠæç¡ããšããããšããã³é話åºæ¥ãããšãèµ·ããã®åå ãšãªã fact6: ãœã¡ããœãªLv.75äºä»¶ã¯çºçããªããšããããšã¯å¢ãé£ããšããããšã¯èµ·ããªããšããããšãåŒãèµ·ãã fact7: ãé話åºæ¥ãããšãçããããšããããšã¯äºå®ã§ãã | fact1: ¬{HC} fact2: ({A} & {B}) -> ¬{C} fact3: {B} fact4: ¬{B} -> ({C} & {A}) fact5: ¬{B} -> ({JJ} & {A}) fact6: ¬{D} -> ¬{B} fact7: {A} | [
"fact7 & fact3 -> int1: é話åºæ¥ãããšãšå¢ãé£ããšããããšãçºçãã; int1 & fact2 -> hypothesis;"
] | [
"fact7 & fact3 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis;"
] | 称ãåŸãããšãèµ·ãã | {C} | [] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããŽããŽã¡ãLv.16äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã§ãã fact2: ããä»®ã«é話åºæ¥ãããšããã³å¢ãé£ããšããããšãèµ·ãããšãããã称ãåŸãããšã¯çºçããªãããšããããšã¯æãç«ã€ fact3: å¢ãé£ããšããããšãçºçãã fact4: å¢ãé£ããšããããšã¯çããªããªã称ãåŸãããšãšé話åºæ¥ãããšäž¡æ¹ãšããçãã fact5: ãå¢ãé£ããšããããšã¯çããªãããšããããšã¯åŠæç¡ããšããããšããã³é話åºæ¥ãããšãèµ·ããã®åå ãšãªã fact6: ãœã¡ããœãªLv.75äºä»¶ã¯çºçããªããšããããšã¯å¢ãé£ããšããããšã¯èµ·ããªããšããããšãåŒãèµ·ãã fact7: ãé話åºæ¥ãããšãçããããšããããšã¯äºå®ã§ãã ; $hypothesis$ = 称ãåŸãããšãèµ·ãã ; $proof$ = | fact7 & fact3 -> int1: é話åºæ¥ãããšãšå¢ãé£ããšããããšãçºçãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{HC} fact2: ({A} & {B}) -> ¬{C} fact3: {B} fact4: ¬{B} -> ({C} & {A}) fact5: ¬{B} -> ({JJ} & {A}) fact6: ¬{D} -> ¬{B} fact7: {A} ; $hypothesis$ = {C} ; $proof$ = | fact7 & fact3 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸã¡ãLv.79ã¯é ãå
¥ãã | {C}{c} | fact1: ä»®ã«ãã®ãœã¡ããœã«ã
Lv.89ã¯äŸå€ç¡ããªãããã®ãŸããŸã¡ãLv.79ã¯é ãå
¥ããªãããšããããšã¯æãç«ããªã fact2: ããä»®ã«ãã®ãœã«ãœã«ãLv.73ãããŒãããšãããšãã®ãœã¡ããœã«ã
Lv.89ã¯äŸå€ç¡ã | fact1: {B}{b} -> {C}{c} fact2: {A}{a} -> {B}{b} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ãœã¡ããœã«ã
Lv.89ã¯äŸå€ç¡ããªãããã®ãŸããŸã¡ãLv.79ã¯é ãå
¥ããªãããšããããšã¯æãç«ããªã fact2: ããä»®ã«ãã®ãœã«ãœã«ãLv.73ãããŒãããšãããšãã®ãœã¡ããœã«ã
Lv.89ã¯äŸå€ç¡ã ; $hypothesis$ = ãã®ãŸããŸã¡ãLv.79ã¯é ãå
¥ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{b} -> {C}{c} fact2: {A}{a} -> {B}{b} ; $hypothesis$ = {C}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | éšããããšããããšãçãããå ããŠã·ãã·ã«ãLv.83äºä»¶ãçºçãã | ({A} & {C}) | fact1: ãã·ã¡ãã·ãªLv.93äºä»¶ã¯çããªãããšããããšã¯ãŸããŸãLv.83äºä»¶ãèµ·ãããªããšããããšããããã¡ãLv.62äºä»¶ã¯èµ·ãããªããšããããšã«èµ·å ãã fact2: çšé ããšããããšã¯çããªããšããããšã¯ãèºãããšãšèªåããããšããããšãçããããšããããšã«åž°çµãã fact3: ããä»®ã«ãã·ã¡ãã·ãªLv.93äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšãããšãéšããããšããããšãšã·ãã·ã«ãLv.83äºä»¶äž¡æ¹ãèµ·ããããšããããšã¯æãç«ããªã fact4: èºãããšã¯ããŸããŸã¡ã
Lv.28äºä»¶ã¯çããªããŠãŸããŸãLv.83äºä»¶ã¯èµ·ãããªãããšããããšãçºçããã fact5: éšããããšããããšãšã·ã¡ãã·ãªLv.93äºä»¶äž¡æ¹ãçãã fact6: ãã·ãã·ã«ãLv.83äºä»¶ãçºçããããšããããšã¯æãç«ã€ | fact1: (¬{D} v ¬{E}) -> ¬{B} fact2: ¬{I} -> ({G} & {H}) fact3: ¬{B} -> ¬({A} & {C}) fact4: {G} -> (¬{F} & ¬{D}) fact5: ({A} & {B}) fact6: {C} | [
"fact5 -> int1: éšããããšããããšãèµ·ãã; int1 & fact6 -> hypothesis;"
] | [
"fact5 -> int1: {A}; int1 & fact6 -> hypothesis;"
] | ãéšããããšããããšãèµ·ãããã·ãã·ã«ãLv.83äºä»¶ãçããããšããããšã¯ééã£ãŠãã | ¬({A} & {C}) | [] | 9 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã·ã¡ãã·ãªLv.93äºä»¶ã¯çããªãããšããããšã¯ãŸããŸãLv.83äºä»¶ãèµ·ãããªããšããããšããããã¡ãLv.62äºä»¶ã¯èµ·ãããªããšããããšã«èµ·å ãã fact2: çšé ããšããããšã¯çããªããšããããšã¯ãèºãããšãšèªåããããšããããšãçããããšããããšã«åž°çµãã fact3: ããä»®ã«ãã·ã¡ãã·ãªLv.93äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšãããšãéšããããšããããšãšã·ãã·ã«ãLv.83äºä»¶äž¡æ¹ãèµ·ããããšããããšã¯æãç«ããªã fact4: èºãããšã¯ããŸããŸã¡ã
Lv.28äºä»¶ã¯çããªããŠãŸããŸãLv.83äºä»¶ã¯èµ·ãããªãããšããããšãçºçããã fact5: éšããããšããããšãšã·ã¡ãã·ãªLv.93äºä»¶äž¡æ¹ãçãã fact6: ãã·ãã·ã«ãLv.83äºä»¶ãçºçããããšããããšã¯æãç«ã€ ; $hypothesis$ = éšããããšããããšãçãããå ããŠã·ãã·ã«ãLv.83äºä»¶ãçºçãã ; $proof$ = | fact5 -> int1: éšããããšããããšãèµ·ãã; int1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{D} v ¬{E}) -> ¬{B} fact2: ¬{I} -> ({G} & {H}) fact3: ¬{B} -> ¬({A} & {C}) fact4: {G} -> (¬{F} & ¬{D}) fact5: ({A} & {B}) fact6: {C} ; $hypothesis$ = ({A} & {C}) ; $proof$ = | fact5 -> int1: {A}; int1 & fact6 -> hypothesis; __PROVED__ |
0.3 | ããããããšããããšããã³ã¿ãã¿ãLv.79äºä»¶äž¡æ¹ãšããçãã | ({B} & {C}) | fact1: ã¿ãã¿ãLv.79äºä»¶ãèµ·ãã fact2: ãããç®æããšããããšãèµ·ãããšãããšãœããœãLv.95äºä»¶ã§ã¯ãªããŠå ªãé£ããšããããšãèµ·ãã fact3: ççœããšããããšãèµ·ãããå ããŠæããé£ããšããããšãçãã fact4: ãœããœãLv.95äºä»¶ãèµ·ãã fact5: ãœã«ã
ãœã¡ãLv.11äºä»¶ããã³ç«ãŠé£ããšããããšãèµ·ãã fact6: ããä»®ã«ãããããããšããããšãšå ªãé£ããšããããšäž¡æ¹ãšããçºçããããšããããšã¯æãç«ããªããšããããããããããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ã€ fact7: ãœããœãLv.95äºä»¶ã¯èµ·ããªããšããããããããããšããããšãšã¿ãã¿ãLv.79äºä»¶äž¡æ¹ãšããèµ·ããããšããããšã¯åã§ãã fact8: ããœããœãLv.95äºä»¶ãçããããšããããšã¯ããããããšããããšã¯èµ·ããªããšããããšãé²ã | fact1: {C} fact2: {E} -> (¬{A} & {D}) fact3: ({FJ} & {AU}) fact4: {A} fact5: ({DQ} & {BT}) fact6: ¬({B} & {D}) -> ¬{B} fact7: ¬{A} -> ¬({B} & {C}) fact8: {A} -> {B} | [
"fact8 & fact4 -> int1: ããããããšããããšãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact8 & fact4 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | çãŸãç¶ããããšãèµ·ãã | {R} | [] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã¿ãã¿ãLv.79äºä»¶ãèµ·ãã fact2: ãããç®æããšããããšãèµ·ãããšãããšãœããœãLv.95äºä»¶ã§ã¯ãªããŠå ªãé£ããšããããšãèµ·ãã fact3: ççœããšããããšãèµ·ãããå ããŠæããé£ããšããããšãçãã fact4: ãœããœãLv.95äºä»¶ãèµ·ãã fact5: ãœã«ã
ãœã¡ãLv.11äºä»¶ããã³ç«ãŠé£ããšããããšãèµ·ãã fact6: ããä»®ã«ãããããããšããããšãšå ªãé£ããšããããšäž¡æ¹ãšããçºçããããšããããšã¯æãç«ããªããšããããããããããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ã€ fact7: ãœããœãLv.95äºä»¶ã¯èµ·ããªããšããããããããããšããããšãšã¿ãã¿ãLv.79äºä»¶äž¡æ¹ãšããèµ·ããããšããããšã¯åã§ãã fact8: ããœããœãLv.95äºä»¶ãçããããšããããšã¯ããããããšããããšã¯èµ·ããªããšããããšãé²ã ; $hypothesis$ = ããããããšããããšããã³ã¿ãã¿ãLv.79äºä»¶äž¡æ¹ãšããçãã ; $proof$ = | fact8 & fact4 -> int1: ããããããšããããšãèµ·ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} fact2: {E} -> (¬{A} & {D}) fact3: ({FJ} & {AU}) fact4: {A} fact5: ({DQ} & {BT}) fact6: ¬({B} & {D}) -> ¬{B} fact7: ¬{A} -> ¬({B} & {C}) fact8: {A} -> {B} ; $hypothesis$ = ({B} & {C}) ; $proof$ = | fact8 & fact4 -> int1: {B}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã«ã
ãŽãLv.39ã¯æ»æãæãäžæ¹ã§æèŒããªã | ({AA}{aa} & ¬{AB}{aa}) | fact1: ãã®ãŽã«ã
ãŽãLv.39ã¯çãããšããããšã¯ãªã fact2: ãããããã¢ã³ã¹ã¿ãŒãçãããªããšãããšæ»æãæããæèŒããªã | fact1: ¬{A}{aa} fact2: (x): ¬{A}x -> ({AA}x & ¬{AB}x) | [
"fact2 -> int1: ããããã®ãŽã«ã
ãŽãLv.39ãçãããªããªããã®ãŽã«ã
ãŽãLv.39ã¯æ»æãæããã©æèŒããªã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: ¬{A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽã«ã
ãŽãLv.39ã¯çãããšããããšã¯ãªã fact2: ãããããã¢ã³ã¹ã¿ãŒãçãããªããšãããšæ»æãæããæèŒããªã ; $hypothesis$ = ãã®ãŽã«ã
ãŽãLv.39ã¯æ»æãæãäžæ¹ã§æèŒããªã ; $proof$ = | fact2 -> int1: ããããã®ãŽã«ã
ãŽãLv.39ãçãããªããªããã®ãŽã«ã
ãŽãLv.39ã¯æ»æãæããã©æèŒããªã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{aa} fact2: (x): ¬{A}x -> ({AA}x & ¬{AB}x) ; $hypothesis$ = ({AA}{aa} & ¬{AB}{aa}) ; $proof$ = | fact2 -> int1: ¬{A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãŸã¡ã
ãŸãLv.41äºä»¶ãçºçãã | {C} | fact1: ããããLv.20äºä»¶ãèµ·ãã fact2: ããä»®ã«ããã®ããLv.73äºä»¶ãèµ·ãããããããLv.20äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªããšãããšããã®ããLv.73äºä»¶ã¯èµ·ãããªãããšããããšã¯æ¬åœã fact3: ããããLv.20äºä»¶ããã³è©³ãããšããããšãèµ·ããã¯ããŸã¡ã
ãŸãLv.41äºä»¶ã¯çããªãããšããããšã«ç¹ãã fact4: å¯æããšããããšãçºçãã fact5: ãŽã«ããŽã®Lv.57äºä»¶ã¯çããªã | fact1: {A} fact2: ¬({FQ} & ¬{A}) -> ¬{FQ} fact3: ({A} & {B}) -> ¬{C} fact4: {AL} fact5: ¬{CN} | [] | [] | ãã®ããLv.73äºä»¶ã¯èµ·ããªã | ¬{FQ} | [] | 6 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããLv.20äºä»¶ãèµ·ãã fact2: ããä»®ã«ããã®ããLv.73äºä»¶ãèµ·ãããããããLv.20äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªããšãããšããã®ããLv.73äºä»¶ã¯èµ·ãããªãããšããããšã¯æ¬åœã fact3: ããããLv.20äºä»¶ããã³è©³ãããšããããšãèµ·ããã¯ããŸã¡ã
ãŸãLv.41äºä»¶ã¯çããªãããšããããšã«ç¹ãã fact4: å¯æããšããããšãçºçãã fact5: ãŽã«ããŽã®Lv.57äºä»¶ã¯çããªã ; $hypothesis$ = ãŸã¡ã
ãŸãLv.41äºä»¶ãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: ¬({FQ} & ¬{A}) -> ¬{FQ} fact3: ({A} & {B}) -> ¬{C} fact4: {AL} fact5: ¬{CN} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãœããœãLv.26äºä»¶ã¯çºçããªã | ¬{C} | fact1: ãäºåããããšãèµ·ããããšããããšã¯ãœããœãLv.26äºä»¶ãèµ·ãããšããããšã®ãã£ãããšãªã fact2: ãç¡è³¢ããšããããšãçããã矚ãŸãããšããããšã¯èµ·ãããªãããšããããšã¯åŸ¡çŸãããšããããšã«ããçãã fact3: ãç¡è³¢ããšããããšãçããäžæ¹ã§çŸšãŸãããšããããšã¯çããªãããšããããšã¯ãæèªããããšã¯çºçããªãããšããããšã®ãã£ãããšãªã fact4: ããœããœãLv.26äºä»¶ãçããªããŠäºåããããšã¯çºçããããšããããšã¯ãæèªããããšã¯èµ·ããªãããšããããšã«èµ·å ãã fact5: ãããåãæããšããããšã¯çºçããªãããšããããšã¯äºå®ã ãšãããšåŸ¡çŸãããšããããšãèµ·ãããããã«ã·ãã·ãLv.10äºä»¶ãèµ·ãã | fact1: {A} -> {C} fact2: {F} -> ({D} & ¬{E}) fact3: ({D} & ¬{E}) -> ¬{B} fact4: ¬{B} -> (¬{C} & {A}) fact5: ¬{H} -> ({F} & {G}) | [] | [] | ãœããœãLv.26äºä»¶ã¯çºçããªã | ¬{C} | [] | 9 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãäºåããããšãèµ·ããããšããããšã¯ãœããœãLv.26äºä»¶ãèµ·ãããšããããšã®ãã£ãããšãªã fact2: ãç¡è³¢ããšããããšãçããã矚ãŸãããšããããšã¯èµ·ãããªãããšããããšã¯åŸ¡çŸãããšããããšã«ããçãã fact3: ãç¡è³¢ããšããããšãçããäžæ¹ã§çŸšãŸãããšããããšã¯çããªãããšããããšã¯ãæèªããããšã¯çºçããªãããšããããšã®ãã£ãããšãªã fact4: ããœããœãLv.26äºä»¶ãçããªããŠäºåããããšã¯çºçããããšããããšã¯ãæèªããããšã¯èµ·ããªãããšããããšã«èµ·å ãã fact5: ãããåãæããšããããšã¯çºçããªãããšããããšã¯äºå®ã ãšãããšåŸ¡çŸãããšããããšãèµ·ãããããã«ã·ãã·ãLv.10äºä»¶ãèµ·ãã ; $hypothesis$ = ãœããœãLv.26äºä»¶ã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {C} fact2: {F} -> ({D} & ¬{E}) fact3: ({D} & ¬{E}) -> ¬{B} fact4: ¬{B} -> (¬{C} & {A}) fact5: ¬{H} -> ({F} & {G}) ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœããœãLv.37ã¯æãé£ã | {C}{aa} | fact1: æ¶åãé£ãã¢ã³ã¹ã¿ãŒã¯æãé£ã fact2: ããããã¢ã³ã¹ã¿ãŒã¯æã
ãããªã fact3: ããä»®ã«ããã®ãœããœãLv.37ã¯æ¶åãé£ããªããããã劬ãŸããããšããããšã¯äºå®ã§ãããšãããšããã¯æãé£ããªã fact4: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãã³ã³ãããŒã«ããªããšãããããã¯ç¡ãããããã¯åŠ¬ãŸããããŸãã¯äž¡æ¹ã fact5: ããããã®ãœããœãLv.37ã¯ã³ã³ãããŒã«ããããããåãæ¿ãããªãããšããããšã¯äºå®ãšç°ãªããªãã³ã³ãããŒã«ããªã fact6: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¶åãé£ããªãããã®äžåŠ¬ãŸãã fact7: ããããã¢ã³ã¹ã¿ãŒã¯èããŠããã¯åŠ¬ãŸãã | fact1: (x): {A}x -> {C}x fact2: (x): ¬{CI}x fact3: (¬{A}{aa} & {B}{aa}) -> ¬{C}{aa} fact4: (x): ¬{E}x -> ({D}x v {B}x) fact5: ¬({E}{aa} & ¬{F}{aa}) -> ¬{E}{aa} fact6: (x): (¬{A}x & {B}x) fact7: (x): ({CJ}x & {B}x) | [
"fact6 -> int1: ãã®ãœããœãLv.37ã¯æ¶åãé£ããªããã©ããã¯åŠ¬ãŸãã; int1 & fact3 -> hypothesis;"
] | [
"fact6 -> int1: (¬{A}{aa} & {B}{aa}); int1 & fact3 -> hypothesis;"
] | ããããã¢ã³ã¹ã¿ãŒã¯å¯ããšããããšã¯ãªããã©èã | (x): (¬{DC}x & {CJ}x) | [
"fact8 -> int2: ãã®ã·ã«ã·ã«ãLv.24ã¯èããæŽã«ããã¯åŠ¬ãŸãã; int2 -> int3: ãã®ã·ã«ã·ã«ãLv.24ã¯èã;"
] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æ¶åãé£ãã¢ã³ã¹ã¿ãŒã¯æãé£ã fact2: ããããã¢ã³ã¹ã¿ãŒã¯æã
ãããªã fact3: ããä»®ã«ããã®ãœããœãLv.37ã¯æ¶åãé£ããªããããã劬ãŸããããšããããšã¯äºå®ã§ãããšãããšããã¯æãé£ããªã fact4: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãã³ã³ãããŒã«ããªããšãããããã¯ç¡ãããããã¯åŠ¬ãŸããããŸãã¯äž¡æ¹ã fact5: ããããã®ãœããœãLv.37ã¯ã³ã³ãããŒã«ããããããåãæ¿ãããªãããšããããšã¯äºå®ãšç°ãªããªãã³ã³ãããŒã«ããªã fact6: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¶åãé£ããªãããã®äžåŠ¬ãŸãã fact7: ããããã¢ã³ã¹ã¿ãŒã¯èããŠããã¯åŠ¬ãŸãã ; $hypothesis$ = ãã®ãœããœãLv.37ã¯æãé£ã ; $proof$ = | fact6 -> int1: ãã®ãœããœãLv.37ã¯æ¶åãé£ããªããã©ããã¯åŠ¬ãŸãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x -> {C}x fact2: (x): ¬{CI}x fact3: (¬{A}{aa} & {B}{aa}) -> ¬{C}{aa} fact4: (x): ¬{E}x -> ({D}x v {B}x) fact5: ¬({E}{aa} & ¬{F}{aa}) -> ¬{E}{aa} fact6: (x): (¬{A}x & {B}x) fact7: (x): ({CJ}x & {B}x) ; $hypothesis$ = {C}{aa} ; $proof$ = | fact6 -> int1: (¬{A}{aa} & {B}{aa}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœã¡ããœãLv.89ã¯åŒã³æãããããã¯æ»ãæãããšããããšã¯æãç«ããªã | ¬({B}{a} v {A}{a}) | fact1: ããã®ãœã¡ããœãLv.89ã¯ä¿¡ãé£ããªãããã©ç«ãŠæãããšããããšã¯åã§ãããªããã®ãœã¡ããœãLv.89ã¯åŒã³æããªã fact2: ããã®ãœã¡ããœãLv.89ã¯ä¿¡ãé£ããšããããšã¯ãªãããããç«ãŠæãããšããããšã¯ééãã fact3: ãã®ãœã¡ããœãLv.89ã¯åŒã³æããªããªãã°ãåŒã³æãããŸãã¯ããã¯æ»ãæãããŸãã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãã | fact1: ¬(¬{AA}{a} & {AB}{a}) -> ¬{B}{a} fact2: ¬(¬{AA}{a} & {AB}{a}) fact3: ¬{B}{a} -> ¬({B}{a} v {A}{a}) | [
"fact1 & fact2 -> int1: ãã®ãœã¡ããœãLv.89ã¯åŒã³æããªã; int1 & fact3 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ¬{B}{a}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ãœã¡ããœãLv.89ã¯ä¿¡ãé£ããªãããã©ç«ãŠæãããšããããšã¯åã§ãããªããã®ãœã¡ããœãLv.89ã¯åŒã³æããªã fact2: ããã®ãœã¡ããœãLv.89ã¯ä¿¡ãé£ããšããããšã¯ãªãããããç«ãŠæãããšããããšã¯ééãã fact3: ãã®ãœã¡ããœãLv.89ã¯åŒã³æããªããªãã°ãåŒã³æãããŸãã¯ããã¯æ»ãæãããŸãã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = ããã®ãœã¡ããœãLv.89ã¯åŒã³æãããããã¯æ»ãæãããšããããšã¯æãç«ããªã ; $proof$ = | fact1 & fact2 -> int1: ãã®ãœã¡ããœãLv.89ã¯åŒã³æããªã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{AA}{a} & {AB}{a}) -> ¬{B}{a} fact2: ¬(¬{AA}{a} & {AB}{a}) fact3: ¬{B}{a} -> ¬({B}{a} v {A}{a}) ; $hypothesis$ = ¬({B}{a} v {A}{a}) ; $proof$ = | fact1 & fact2 -> int1: ¬{B}{a}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸãLv.45ã¯è§£éããªãããã®äžããã¯è¡è
¥ããªã | (¬{AA}{a} & ¬{AB}{a}) | fact1: ãããã¯è§£éããªããããã«è¡è
¥ããªããšããã¢ã³ã¹ã¿ãŒã¯ãªãããšããããšã¯äºå®ã§ãã fact2: ããã¯çã
ãããªãããã€èš±ãé£ããšããããšã¯ãªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ããã®ãŸããŸãLv.45ã¯é·çŽ°ããªããŠãã€é¡çŸããªãããšããããšã¯æãç«ããªã | fact1: (x): ¬(¬{AA}x & ¬{AB}x) fact2: (x): ¬(¬{DR}x & ¬{AP}x) fact3: ¬(¬{JD}{a} & ¬{N}{a}) | [
"fact1 -> int1: ãããã¯è§£éããªããããã«è¡è
¥ããªããšããã¢ã³ã¹ã¿ãŒã¯ãªãããšããããšã¯äºå®ã§ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): ¬(¬{AA}x & ¬{AB}x); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã¯è§£éããªããããã«è¡è
¥ããªããšããã¢ã³ã¹ã¿ãŒã¯ãªãããšããããšã¯äºå®ã§ãã fact2: ããã¯çã
ãããªãããã€èš±ãé£ããšããããšã¯ãªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ããã®ãŸããŸãLv.45ã¯é·çŽ°ããªããŠãã€é¡çŸããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ãŸããŸãLv.45ã¯è§£éããªãããã®äžããã¯è¡è
¥ããªã ; $proof$ = | fact1 -> int1: ãããã¯è§£éããªããããã«è¡è
¥ããªããšããã¢ã³ã¹ã¿ãŒã¯ãªãããšããããšã¯äºå®ã§ãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬(¬{AA}x & ¬{AB}x) fact2: (x): ¬(¬{DR}x & ¬{AP}x) fact3: ¬(¬{JD}{a} & ¬{N}{a}) ; $hypothesis$ = (¬{AA}{a} & ¬{AB}{a}) ; $proof$ = | fact1 -> int1: (x): ¬(¬{AA}x & ¬{AB}x); int1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœã¡ããœãLv.47ã¯è
¹é»ãããããæã¡é£ããªãããšããããšã¯ééã£ãŠãã | ¬({B}{b} & ¬{A}{b}) | fact1: ãããã®ãœã¡ããœãLv.47ãè
¹é»ããªãã°ããã¯è
¹é»ããæã¡é£ããªã fact2: æã¡é£ãã¢ã³ã¹ã¿ãŒã¯è
¹é»ã fact3: ä»®ã«ãã®ãœããœãLv.7ã¯è
¹é»ããšããã°ããã®ãŽããŽã«ã
Lv.17ã¯è
¹é»ãããšããããšã¯æãç«ã€ fact4: ããã®ãœããœãLv.7ã¯å€§äººããããªãããã®äžé»ã£ãœããªãããšããããšã¯ééã£ãŠãã fact5: ä»®ã«ããã®ãœããœãLv.7ã¯å€§äººããããšããããšã¯ãªãããã®äžé»ã£ãœããªãããšããããšã¯æãç«ããªããšããã°ããã®ãœã¡ããœãLv.47ã¯è
¹é»ãããšããããšã¯äºå®ã | fact1: {B}{b} -> ({B}{b} & ¬{A}{b}) fact2: (x): {A}x -> {B}x fact3: {B}{a} -> {B}{fo} fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{b} | [
"fact5 & fact4 -> int1: ãã®ãœã¡ããœãLv.47ã¯è
¹é»ã; int1 & fact1 -> hypothesis;"
] | [
"fact5 & fact4 -> int1: {B}{b}; int1 & fact1 -> hypothesis;"
] | ãã®ãŽããŽã«ã
Lv.17ã¯è
¹é»ã | {B}{fo} | [
"fact7 -> int2: ãã®ãœããœãLv.7ãæã¡é£ããªãã°ããã¯è
¹é»ã;"
] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãœã¡ããœãLv.47ãè
¹é»ããªãã°ããã¯è
¹é»ããæã¡é£ããªã fact2: æã¡é£ãã¢ã³ã¹ã¿ãŒã¯è
¹é»ã fact3: ä»®ã«ãã®ãœããœãLv.7ã¯è
¹é»ããšããã°ããã®ãŽããŽã«ã
Lv.17ã¯è
¹é»ãããšããããšã¯æãç«ã€ fact4: ããã®ãœããœãLv.7ã¯å€§äººããããªãããã®äžé»ã£ãœããªãããšããããšã¯ééã£ãŠãã fact5: ä»®ã«ããã®ãœããœãLv.7ã¯å€§äººããããšããããšã¯ãªãããã®äžé»ã£ãœããªãããšããããšã¯æãç«ããªããšããã°ããã®ãœã¡ããœãLv.47ã¯è
¹é»ãããšããããšã¯äºå®ã ; $hypothesis$ = ããã®ãœã¡ããœãLv.47ã¯è
¹é»ãããããæã¡é£ããªãããšããããšã¯ééã£ãŠãã ; $proof$ = | fact5 & fact4 -> int1: ãã®ãœã¡ããœãLv.47ã¯è
¹é»ã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{b} -> ({B}{b} & ¬{A}{b}) fact2: (x): {A}x -> {B}x fact3: {B}{a} -> {B}{fo} fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{b} ; $hypothesis$ = ¬({B}{b} & ¬{A}{b}) ; $proof$ = | fact5 & fact4 -> int1: {B}{b}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã¡ãããLv.74ã¯äœã¿æã | {A}{a} | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœã¿æã fact2: ãã®ãŸãªãŸã¡ãLv.40ã¯åŒè§£ããŸãããªããªããããã®ãã¡ãããLv.74ã¯åãã¡é£ããªããã©å®äœéšããããšããããšã¯åœã ããšããããšã¯æãç«ã€ fact3: ããããã®ãŸãªãŸã¡ãLv.40ã¯åŸ¡å®ãããªããããã¯èå¹ããããšããããšã¯æãç«ããªããšããã°åŒè§£ããŸãããªã fact4: ãã®ãŸããŸãLv.57ã¯äœã¿æã fact5: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯çãé£ããªã | fact1: (x): {A}x fact2: ¬{D}{b} -> ¬(¬{B}{a} & {C}{a}) fact3: ¬(¬{F}{b} & {E}{b}) -> ¬{D}{b} fact4: {A}{dl} fact5: (x): ¬{G}x | [
"fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœã¿æã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ãã¡ãããLv.74ã¯äœã¿æããšããããšã¯ãªã | ¬{A}{a} | [
"fact8 -> int2: ãã®ãã«ããLv.94ã¯çãé£ããªã;"
] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœã¿æã fact2: ãã®ãŸãªãŸã¡ãLv.40ã¯åŒè§£ããŸãããªããªããããã®ãã¡ãããLv.74ã¯åãã¡é£ããªããã©å®äœéšããããšããããšã¯åœã ããšããããšã¯æãç«ã€ fact3: ããããã®ãŸãªãŸã¡ãLv.40ã¯åŸ¡å®ãããªããããã¯èå¹ããããšããããšã¯æãç«ããªããšããã°åŒè§£ããŸãããªã fact4: ãã®ãŸããŸãLv.57ã¯äœã¿æã fact5: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯çãé£ããªã ; $hypothesis$ = ãã®ãã¡ãããLv.74ã¯äœã¿æã ; $proof$ = | fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœã¿æã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x fact2: ¬{D}{b} -> ¬(¬{B}{a} & {C}{a}) fact3: ¬(¬{F}{b} & {E}{b}) -> ¬{D}{b} fact4: {A}{dl} fact5: (x): ¬{G}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ã®ã¿ãªLv.48ã¯å€§äººã£ãœããªããããã¯åœ¢æããæãããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãã | ¬(¬{C}{a} v {B}{a}) | fact1: ãšããã¢ã³ã¹ã¿ãŒãéºãããªããšããããã®ã¿ã®ã¿ãªLv.48ã¯å€§äººã£ãœãããŸãã¯ããã¯åœ¢æããæãããŸãã¯äž¡æ¹ãšãã fact2: ãæ¥æããªããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãã®ã¿ã®ã¿ãªLv.48ã¯å€§äººã£ãœãããããã¯ããã¯åœ¢æããæã fact4: ãéºãããªããã¢ã³ã¹ã¿ãŒããããªããã®ã¿ã®ã¿ãªLv.48ã¯å€§äººã£ãœããªãããŸãã¯åœ¢æããæãããããã¯äž¡æ¹ã | fact1: (x): ¬{A}x -> ({C}{a} v {B}{a}) fact2: (Ex): ¬{EB}x fact3: ({C}{a} v {B}{a}) fact4: (x): ¬{A}x -> (¬{C}{a} v {B}{a}) | [] | [] | null | null | [] | null | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãšããã¢ã³ã¹ã¿ãŒãéºãããªããšããããã®ã¿ã®ã¿ãªLv.48ã¯å€§äººã£ãœãããŸãã¯ããã¯åœ¢æããæãããŸãã¯äž¡æ¹ãšãã fact2: ãæ¥æããªããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãã®ã¿ã®ã¿ãªLv.48ã¯å€§äººã£ãœãããããã¯ããã¯åœ¢æããæã fact4: ãéºãããªããã¢ã³ã¹ã¿ãŒããããªããã®ã¿ã®ã¿ãªLv.48ã¯å€§äººã£ãœããªãããŸãã¯åœ¢æããæãããããã¯äž¡æ¹ã ; $hypothesis$ = ããã®ã¿ã®ã¿ãªLv.48ã¯å€§äººã£ãœããªããããã¯åœ¢æããæãããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ({C}{a} v {B}{a}) fact2: (Ex): ¬{EB}x fact3: ({C}{a} v {B}{a}) fact4: (x): ¬{A}x -> (¬{C}{a} v {B}{a}) ; $hypothesis$ = ¬(¬{C}{a} v {B}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã·ãã·ã«ã
Lv.41ã¯åŒ·ããå ããŠéžæããæãããšããããšã¯æãç«ããªã | ¬({B}{a} & {C}{a}) | fact1: ä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æç·©ããšããããšã¯ãªããŠãã€ããã¯æ€ç¥ããªãããšããããšã¯æãç«ããªããšããããæ€ç¥ããããšããããšã¯åã ãšããããšã¯ãªã fact2: ãã®ã·ãã·ã«ã
Lv.41ã¯éžæããæã fact3: ãã®ã·ãã·ã«ã
Lv.41ã¯æ€ç¥ãã fact4: ããä»®ã«ãã®ã·ãã·ã«ã
Lv.41ãå®è¡ãæããªãããããã¯ããã匷ãããããã¯äž¡æ¹ãšãã ãšããã°ãã®ãŸããŸãªLv.7ã¯åŒ·ããªã fact5: ãããã®ãŸããŸãªLv.7ã¯æ€ç¥ãããªãããã®ãŸããŸãªLv.7ã¯éžæããæãããšããããšã¯äºå®ã§ãã fact6: ãã®ã·ãã·ã«ã
Lv.41ãæ€ç¥ããã°ãã®ã·ãã·ã«ã
Lv.41ã¯åŒ·ã | fact1: (x): ¬(¬{D}x & ¬{A}x) -> {A}x fact2: {C}{a} fact3: {A}{a} fact4: (¬{E}{a} v {B}{a}) -> ¬{B}{jc} fact5: {A}{jc} -> {C}{jc} fact6: {A}{a} -> {B}{a} | [
"fact6 & fact3 -> int1: ããã®ã·ãã·ã«ã
Lv.41ã¯åŒ·ãããšããããšã¯æãç«ã€; int1 & fact2 -> hypothesis;"
] | [
"fact6 & fact3 -> int1: {B}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ãŸããŸãªLv.7ã¯éžæããæã | {C}{jc} | [
"fact7 -> int2: ããä»®ã«ããã®ãŸããŸãªLv.7ã¯æç·©ããªãã¢ã³ã¹ã¿ãŒã§ããæ€ç¥ããªãããšããããšã¯èª€ã£ãŠãããšããã°ãã®ãŸããŸãªLv.7ã¯æ€ç¥ãã;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æç·©ããšããããšã¯ãªããŠãã€ããã¯æ€ç¥ããªãããšããããšã¯æãç«ããªããšããããæ€ç¥ããããšããããšã¯åã ãšããããšã¯ãªã fact2: ãã®ã·ãã·ã«ã
Lv.41ã¯éžæããæã fact3: ãã®ã·ãã·ã«ã
Lv.41ã¯æ€ç¥ãã fact4: ããä»®ã«ãã®ã·ãã·ã«ã
Lv.41ãå®è¡ãæããªãããããã¯ããã匷ãããããã¯äž¡æ¹ãšãã ãšããã°ãã®ãŸããŸãªLv.7ã¯åŒ·ããªã fact5: ãããã®ãŸããŸãªLv.7ã¯æ€ç¥ãããªãããã®ãŸããŸãªLv.7ã¯éžæããæãããšããããšã¯äºå®ã§ãã fact6: ãã®ã·ãã·ã«ã
Lv.41ãæ€ç¥ããã°ãã®ã·ãã·ã«ã
Lv.41ã¯åŒ·ã ; $hypothesis$ = ããã®ã·ãã·ã«ã
Lv.41ã¯åŒ·ããå ããŠéžæããæãããšããããšã¯æãç«ããªã ; $proof$ = | fact6 & fact3 -> int1: ããã®ã·ãã·ã«ã
Lv.41ã¯åŒ·ãããšããããšã¯æãç«ã€; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬(¬{D}x & ¬{A}x) -> {A}x fact2: {C}{a} fact3: {A}{a} fact4: (¬{E}{a} v {B}{a}) -> ¬{B}{jc} fact5: {A}{jc} -> {C}{jc} fact6: {A}{a} -> {B}{a} ; $hypothesis$ = ¬({B}{a} & {C}{a}) ; $proof$ = | fact6 & fact3 -> int1: {B}{a}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãéããæããšããããšã¯çºçããªãããšããããšã¯åã§ãªã | ¬{C} | fact1: ãããããããšããããšãèµ·ãã fact2: éåŠããããšãèµ·ãã fact3: ããããããããšããããšãèµ·ãããéåŠããããšãèµ·ããããšããããšã¯éããæããšããããšãé²ã | fact1: {A} fact2: {B} fact3: ({A} & {B}) -> ¬{C} | [
"fact1 & fact2 -> int1: ãããããããšããããšãšéåŠããããšã©ã¡ãããèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãããããããšããããšãèµ·ãã fact2: éåŠããããšãèµ·ãã fact3: ããããããããšããããšãèµ·ãããéåŠããããšãèµ·ããããšããããšã¯éããæããšããããšãé²ã ; $hypothesis$ = ãéããæããšããããšã¯çºçããªãããšããããšã¯åã§ãªã ; $proof$ = | fact1 & fact2 -> int1: ãããããããšããããšãšéåŠããããšã©ã¡ãããèµ·ãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {B} fact3: ({A} & {B}) -> ¬{C} ; $hypothesis$ = ¬{C} ; $proof$ = | fact1 & fact2 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãŸããŸãªLv.26äºä»¶ãçãããããã«åŸ¡å¿ãããšããããšãçãã | ({A} & {B}) | fact1: ãŸããŸãªLv.26äºä»¶ãèµ·ãã fact2: ã埡å¿ãããšããããšãçããããšããããšã¯æãç«ã€ | fact1: {A} fact2: {B} | [
"fact1 -> int1: ãŸããŸãªLv.26äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãŸããŸãªLv.26äºä»¶ãèµ·ãã fact2: ã埡å¿ãããšããããšãçããããšããããšã¯æãç«ã€ ; $hypothesis$ = ãŸããŸãªLv.26äºä»¶ãçãããããã«åŸ¡å¿ãããšããããšãçãã ; $proof$ = | fact1 -> int1: ãŸããŸãªLv.26äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {B} ; $hypothesis$ = ({A} & {B}) ; $proof$ = | fact1 -> int1: {A}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããã®ãã¡ããã«ãLv.6ã¯åŸ¡æããããããããã¯åãè¶ããªãããšããããšã¯åã | ¬({B}{c} & ¬{C}{c}) | fact1: ä»®ã«ãã®ãŸã®ãŸã«ãLv.39ãåŠå®ãé£ããªããã®ãœã«ããœã«ã
Lv.14ã¯åŸ¡æãã fact2: ãã®ãœã«ããœã«ã
Lv.14ã¯åŸ¡æããã°ããã®ãã¡ããã«ãLv.6ã¯åŸ¡æããããããåãè¶ããªãããšããããšã¯ééã£ãŠãã | fact1: {A}{a} -> {B}{b} fact2: {B}{b} -> ¬({B}{c} & ¬{C}{c}) | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ãŸã®ãŸã«ãLv.39ãåŠå®ãé£ããªããã®ãœã«ããœã«ã
Lv.14ã¯åŸ¡æãã fact2: ãã®ãœã«ããœã«ã
Lv.14ã¯åŸ¡æããã°ããã®ãã¡ããã«ãLv.6ã¯åŸ¡æããããããåãè¶ããªãããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ããã®ãã¡ããã«ãLv.6ã¯åŸ¡æããããããããã¯åãè¶ããªãããšããããšã¯åã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: {B}{b} -> ¬({B}{c} & ¬{C}{c}) ; $hypothesis$ = ¬({B}{c} & ¬{C}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ã
ãŽã«ãLv.62ã¯ããã¡ãªããªã | ¬{B}{a} | fact1: ãã®ãŽã«ã
ãŽã«ãLv.62ã¯æžã蟌ãã fact2: ãã®ãŽã«ããŽã«ã
Lv.96ã¯æ¢ããªã fact3: ä»®ã«ãã®ãŽã«ã
ãŽã«ãLv.62ãæžã蟌ããã°ããã¯ããã¡ãªã fact4: ãã®ã¿ã«ã¿ãLv.91ã¯æžã蟌ãã | fact1: {A}{a} fact2: ¬{D}{c} fact3: {A}{a} -> {B}{a} fact4: {A}{dr} | [
"fact1 -> int1: ãã®ãŽã«ã
ãŽã«ãLv.62ã¯æžã蟌ãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact3 -> hypothesis;"
] | ãã®ã¿ãã¿ãªLv.80ã¯æžã蟌ãã | {A}{hl} | [
"fact5 -> int2: ãæ¢ãããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã«ã
ãŽã«ãLv.62ã¯æžã蟌ãã fact2: ãã®ãŽã«ããŽã«ã
Lv.96ã¯æ¢ããªã fact3: ä»®ã«ãã®ãŽã«ã
ãŽã«ãLv.62ãæžã蟌ããã°ããã¯ããã¡ãªã fact4: ãã®ã¿ã«ã¿ãLv.91ã¯æžã蟌ãã ; $hypothesis$ = ãã®ãŽã«ã
ãŽã«ãLv.62ã¯ããã¡ãªããªã ; $proof$ = | fact1 -> int1: ãã®ãŽã«ã
ãŽã«ãLv.62ã¯æžã蟌ãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: ¬{D}{c} fact3: {A}{a} -> {B}{a} fact4: {A}{dr} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã¿ã«ãã¿ãLv.55ã¯è»¢ãå¯ããããšããããšã¯æ¬åœã§ãã | {C}{a} | fact1: ä»®ã«ãã®ã¿ãã¿ãLv.1ã芪ãããããã©ãããåŒãæ«ã§ãªããªããã®ã¿ã«ãã¿ãLv.55ã¯è»¢ãå¯ããªã fact2: ãã®ãœã¡ããœã¡ã
Lv.74ã¯è²å¥œãäžæ¹ã§åºç€ä»ããªã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŒãæ«ã§ãªã fact4: ãã®ã¿ãã¿ãLv.1ã芪ããããåŒãæ«ã§ããªããã®ã¿ã«ãã¿ãLv.55ã¯è»¢ãå¯ããªã fact5: ããããã¢ã³ã¹ã¿ãŒã¯èŠªããããåŒãæ«ã§ãªã fact6: ãã®ã¿ãã¿ãLv.1ã¯åŒãæ«ã§ããšããããšã¯ãªã | fact1: ({A}{aa} & ¬{B}{aa}) -> ¬{C}{a} fact2: ({CH}{da} & ¬{IK}{da}) fact3: (x): ¬{B}x fact4: ({A}{aa} & {B}{aa}) -> ¬{C}{a} fact5: (x): ({A}x & ¬{B}x) fact6: ¬{B}{aa} | [
"fact5 -> int1: ãã®ã¿ãã¿ãLv.1ã¯èŠªããããåŒãæ«ã§ããšããããšã¯ãªã; int1 & fact1 -> hypothesis;"
] | [
"fact5 -> int1: ({A}{aa} & ¬{B}{aa}); int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ã¿ãã¿ãLv.1ã芪ãããããã©ãããåŒãæ«ã§ãªããªããã®ã¿ã«ãã¿ãLv.55ã¯è»¢ãå¯ããªã fact2: ãã®ãœã¡ããœã¡ã
Lv.74ã¯è²å¥œãäžæ¹ã§åºç€ä»ããªã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŒãæ«ã§ãªã fact4: ãã®ã¿ãã¿ãLv.1ã芪ããããåŒãæ«ã§ããªããã®ã¿ã«ãã¿ãLv.55ã¯è»¢ãå¯ããªã fact5: ããããã¢ã³ã¹ã¿ãŒã¯èŠªããããåŒãæ«ã§ãªã fact6: ãã®ã¿ãã¿ãLv.1ã¯åŒãæ«ã§ããšããããšã¯ãªã ; $hypothesis$ = ããã®ã¿ã«ãã¿ãLv.55ã¯è»¢ãå¯ããããšããããšã¯æ¬åœã§ãã ; $proof$ = | fact5 -> int1: ãã®ã¿ãã¿ãLv.1ã¯èŠªããããåŒãæ«ã§ããšããããšã¯ãªã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{aa} & ¬{B}{aa}) -> ¬{C}{a} fact2: ({CH}{da} & ¬{IK}{da}) fact3: (x): ¬{B}x fact4: ({A}{aa} & {B}{aa}) -> ¬{C}{a} fact5: (x): ({A}x & ¬{B}x) fact6: ¬{B}{aa} ; $hypothesis$ = {C}{a} ; $proof$ = | fact5 -> int1: ({A}{aa} & ¬{B}{aa}); int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | 埡é»ãããšã¯çºçããªã | ¬{B} | fact1: ãŽã¡ããŽãLv.2äºä»¶ãèµ·ãã fact2: ãŽã¡ããŽãLv.2äºä»¶ã¯åŸ¡é»ãããšãçºçããã | fact1: {A} fact2: {A} -> {B} | [
"fact1 -> int1: ãŽã¡ããŽãLv.2äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãŽã¡ããŽãLv.2äºä»¶ãèµ·ãã fact2: ãŽã¡ããŽãLv.2äºä»¶ã¯åŸ¡é»ãããšãçºçããã ; $hypothesis$ = 埡é»ãããšã¯çºçããªã ; $proof$ = | fact1 -> int1: ãŽã¡ããŽãLv.2äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: {A} -> {B} ; $hypothesis$ = ¬{B} ; $proof$ = | fact1 -> int1: {A}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽã¡ãLv.79ã¯æã¿èŸŒã¿æããããã«ç滞ããŸãã | ({C}{b} & {B}{b}) | fact1: ãã®ã¿ãªã¿ã®Lv.99ã¯æ¥éé泚ãã fact2: ãã®ã·ãã·ã«ãLv.45ã¯èãçºããããããããã¯ç滞ããŸãã fact3: ãã®ã¿ãªã¿ã®Lv.99ã¯èžèŠãã fact4: ãã®ã¿ãªã¿ã®Lv.99ãæ¥éé泚ãããšãããšãã®ãŽããŽã¡ãLv.79ã¯ç滞ããŸãã fact5: ãã®ãŽããŽã¡ãLv.79ã¯æã¿èŸŒã¿æã | fact1: {A}{a} fact2: ({AT}{bj} & {B}{bj}) fact3: {FQ}{a} fact4: {A}{a} -> {B}{b} fact5: {C}{b} | [
"fact4 & fact1 -> int1: ãã®ãŽããŽã¡ãLv.79ã¯ç滞ããŸãã; int1 & fact5 -> hypothesis;"
] | [
"fact4 & fact1 -> int1: {B}{b}; int1 & fact5 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã¿ãªã¿ã®Lv.99ã¯æ¥éé泚ãã fact2: ãã®ã·ãã·ã«ãLv.45ã¯èãçºããããããããã¯ç滞ããŸãã fact3: ãã®ã¿ãªã¿ã®Lv.99ã¯èžèŠãã fact4: ãã®ã¿ãªã¿ã®Lv.99ãæ¥éé泚ãããšãããšãã®ãŽããŽã¡ãLv.79ã¯ç滞ããŸãã fact5: ãã®ãŽããŽã¡ãLv.79ã¯æã¿èŸŒã¿æã ; $hypothesis$ = ãã®ãŽããŽã¡ãLv.79ã¯æã¿èŸŒã¿æããããã«ç滞ããŸãã ; $proof$ = | fact4 & fact1 -> int1: ãã®ãŽããŽã¡ãLv.79ã¯ç滞ããŸãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: ({AT}{bj} & {B}{bj}) fact3: {FQ}{a} fact4: {A}{a} -> {B}{b} fact5: {C}{b} ; $hypothesis$ = ({C}{b} & {B}{b}) ; $proof$ = | fact4 & fact1 -> int1: {B}{b}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŸã«ã
ãŸã«ãLv.81ã¯å ãé£ãããšããããšã¯æ¬åœã§ãã | {C}{b} | fact1: ãã®ãŸããŸã¡ã
Lv.15ã¯ãããããããããã«æŒç¹¹ãã fact2: ãã®ãŸããŸã¡ã
Lv.15ããããããããšããã°ãã®ãŸã«ã
ãŸã«ãLv.81ã¯å ãé£ã fact3: å ãé£ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯æŒç¹¹ããããŸããããããã | fact1: ({A}{a} & {B}{a}) fact2: {A}{a} -> {C}{b} fact3: (x): ¬{C}x -> ({B}x & {A}x) | [
"fact1 -> int1: ãã®ãŸããŸã¡ã
Lv.15ã¯ãããããã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ãŸã«ã
ãŸã«ãLv.81ã¯æŒç¹¹ãã | {B}{b} | [
"fact4 -> int2: ããä»®ã«ãã®ãŸã«ã
ãŸã«ãLv.81ãå ãé£ããªããªããã®ãŸã«ã
ãŸã«ãLv.81ã¯æŒç¹¹ãããããã«ãããããã;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸã¡ã
Lv.15ã¯ãããããããããã«æŒç¹¹ãã fact2: ãã®ãŸããŸã¡ã
Lv.15ããããããããšããã°ãã®ãŸã«ã
ãŸã«ãLv.81ã¯å ãé£ã fact3: å ãé£ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯æŒç¹¹ããããŸããããããã ; $hypothesis$ = ããã®ãŸã«ã
ãŸã«ãLv.81ã¯å ãé£ãããšããããšã¯æ¬åœã§ãã ; $proof$ = | fact1 -> int1: ãã®ãŸããŸã¡ã
Lv.15ã¯ãããããã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {A}{a} -> {C}{b} fact3: (x): ¬{C}x -> ({B}x & {A}x) ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | æãæããšããããšãçºçãã | {C} | fact1: ä»®ã«ãè¶ã£ãœããšããããšãèµ·ããããã€ãŸãªãŸãLv.15äºä»¶ãèµ·ããããšããããšã¯çå®ã§ãªããšãããšè¶ã£ãœããšããããšã¯èµ·ãããªã fact2: ãè¡åè¯ããšããããšã¯çºçããªãããšããããšã¯ã解ãé£ããšããããšã¯çºçããªããæãæããšããããšãèµ·ããããšããããšãåŒãèµ·ãã fact3: ã解ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯ããããã«ã
Lv.47äºä»¶ã¯çããªããŠãŽããŽãLv.21äºä»¶ã¯çããªãããšããããšããããã fact4: ããŽããŽãLv.21äºä»¶ãçããããšããããšã¯äºå®ã§ãã fact5: ããè¶ã£ãœããšããããšã¯èµ·ããªããšããã°è§£ãé£ããšããããšã¯çããªããŠè¡åè¯ããšããããšã¯çºçããªã fact6: ä»®ã«ããã«ããã«ãLv.10äºä»¶ã¯èµ·ãããªãããšããããšã¯äºå®ã ãšãããšãè¶ã£ãœããšããããšãšãŸãªãŸãLv.15äºä»¶äž¡æ¹ãšããèµ·ããããšããããšã¯ç¢ºãã§ãªã fact7: ããŽããŽãLv.21äºä»¶ãèµ·ããããšããããšããããã¯è§£ãé£ããšããããšã¯ãæãæããšããããšã¯çããªãããšããããšã®åå ãšãªã | fact1: ¬({E} & {F}) -> ¬{E} fact2: ¬{D} -> (¬{B} & {C}) fact3: ¬{B} -> (¬{GD} & ¬{A}) fact4: {A} fact5: ¬{E} -> (¬{B} & ¬{D}) fact6: ¬{G} -> ¬({E} & {F}) fact7: ({A} v {B}) -> ¬{C} | [
"fact4 -> int1: ãŽããŽãLv.21äºä»¶ããããã¯è§£ãé£ããšããããšããŸãã¯äž¡æ¹ãšããèµ·ãã; int1 & fact7 -> hypothesis;"
] | [
"fact4 -> int1: ({A} v {B}); int1 & fact7 -> hypothesis;"
] | ãããã«ã
Lv.47äºä»¶ã¯çããªã | ¬{GD} | [] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãè¶ã£ãœããšããããšãèµ·ããããã€ãŸãªãŸãLv.15äºä»¶ãèµ·ããããšããããšã¯çå®ã§ãªããšãããšè¶ã£ãœããšããããšã¯èµ·ãããªã fact2: ãè¡åè¯ããšããããšã¯çºçããªãããšããããšã¯ã解ãé£ããšããããšã¯çºçããªããæãæããšããããšãèµ·ããããšããããšãåŒãèµ·ãã fact3: ã解ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯ããããã«ã
Lv.47äºä»¶ã¯çããªããŠãŽããŽãLv.21äºä»¶ã¯çããªãããšããããšããããã fact4: ããŽããŽãLv.21äºä»¶ãçããããšããããšã¯äºå®ã§ãã fact5: ããè¶ã£ãœããšããããšã¯èµ·ããªããšããã°è§£ãé£ããšããããšã¯çããªããŠè¡åè¯ããšããããšã¯çºçããªã fact6: ä»®ã«ããã«ããã«ãLv.10äºä»¶ã¯èµ·ãããªãããšããããšã¯äºå®ã ãšãããšãè¶ã£ãœããšããããšãšãŸãªãŸãLv.15äºä»¶äž¡æ¹ãšããèµ·ããããšããããšã¯ç¢ºãã§ãªã fact7: ããŽããŽãLv.21äºä»¶ãèµ·ããããšããããšããããã¯è§£ãé£ããšããããšã¯ãæãæããšããããšã¯çããªãããšããããšã®åå ãšãªã ; $hypothesis$ = æãæããšããããšãçºçãã ; $proof$ = | fact4 -> int1: ãŽããŽãLv.21äºä»¶ããããã¯è§£ãé£ããšããããšããŸãã¯äž¡æ¹ãšããèµ·ãã; int1 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({E} & {F}) -> ¬{E} fact2: ¬{D} -> (¬{B} & {C}) fact3: ¬{B} -> (¬{GD} & ¬{A}) fact4: {A} fact5: ¬{E} -> (¬{B} & ¬{D}) fact6: ¬{G} -> ¬({E} & {F}) fact7: ({A} v {B}) -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | fact4 -> int1: ({A} v {B}); int1 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ããŸããŸãLv.0äºä»¶ã¯çºçããªãã倪ããšããããšãèµ·ããããšããããšã¯ç¢ºãã§ãã | (¬{C} & {D}) | fact1: ããããŽãªãŽã¡ãLv.39äºä»¶ãçºçããã°ããã€ããšããããšã§ã¯ãªããŠæ«æããããšããããšãèµ·ããããšããããšã¯åœã§ãã fact2: ããããŽãªãŽã¡ãLv.39äºä»¶ãèµ·ããªããšããã°ãŸããŸãLv.0äºä»¶ã¯èµ·ãããªãã倪ããšããããšãèµ·ãã fact3: ãŽãªãŽã¡ãLv.39äºä»¶ãèµ·ãããã©ãŸããŸã«ãLv.84äºä»¶ã¯çºçããªã fact4: ããããŸããŸã«ãLv.84äºä»¶ã¯èµ·ãããªããšãããšããŸããŸãLv.0äºä»¶ã§ã¯ãªã倪ããšããããšãçããããšããããšã¯åœã | fact1: {A} -> ¬(¬{GL} & {FG}) fact2: ¬{A} -> (¬{C} & {D}) fact3: ({A} & ¬{B}) fact4: ¬{B} -> ¬(¬{C} & {D}) | [
"fact3 -> int1: ãŸããŸã«ãLv.84äºä»¶ã¯èµ·ããªã; int1 & fact4 -> hypothesis;"
] | [
"fact3 -> int1: ¬{B}; int1 & fact4 -> hypothesis;"
] | ããã€ããšããããšã§ã¯ãªãæ«æããããšããããšãçºçããããšããããšã¯ééãã | ¬(¬{GL} & {FG}) | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããŽãªãŽã¡ãLv.39äºä»¶ãçºçããã°ããã€ããšããããšã§ã¯ãªããŠæ«æããããšããããšãèµ·ããããšããããšã¯åœã§ãã fact2: ããããŽãªãŽã¡ãLv.39äºä»¶ãèµ·ããªããšããã°ãŸããŸãLv.0äºä»¶ã¯èµ·ãããªãã倪ããšããããšãèµ·ãã fact3: ãŽãªãŽã¡ãLv.39äºä»¶ãèµ·ãããã©ãŸããŸã«ãLv.84äºä»¶ã¯çºçããªã fact4: ããããŸããŸã«ãLv.84äºä»¶ã¯èµ·ãããªããšãããšããŸããŸãLv.0äºä»¶ã§ã¯ãªã倪ããšããããšãçããããšããããšã¯åœã ; $hypothesis$ = ããŸããŸãLv.0äºä»¶ã¯çºçããªãã倪ããšããããšãèµ·ããããšããããšã¯ç¢ºãã§ãã ; $proof$ = | fact3 -> int1: ãŸããŸã«ãLv.84äºä»¶ã¯èµ·ããªã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> ¬(¬{GL} & {FG}) fact2: ¬{A} -> (¬{C} & {D}) fact3: ({A} & ¬{B}) fact4: ¬{B} -> ¬(¬{C} & {D}) ; $hypothesis$ = (¬{C} & {D}) ; $proof$ = | fact3 -> int1: ¬{B}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããŽãªãŽãLv.0äºä»¶ãšã·ãã·ãLv.5äºä»¶äž¡æ¹ãšããçããããšããããšã¯æãç«ããªã | ¬({C} & {B}) | fact1: ãåãå§ããããšãèµ·ãããå ããŠæŠç¥ããããšãèµ·ããããšããããšã¯ãã·ãã·ã¡ãLv.80äºä»¶ã¯çºçããªãããšããããšã«åŒãèµ·ãããã fact2: ã·ãã·ãLv.5äºä»¶ã¯ãããããšããããšã«ç±æ¥ãã fact3: ãŽãªãŽãLv.0äºä»¶ãèµ·ãã fact4: ãããããããšããããšã¯èµ·ãããªããªãããŽãªãŽãLv.0äºä»¶ãšã·ãã·ãLv.5äºä»¶ã©ã¡ãããçããããšããããšã¯åœã§ãã fact5: åãå§ããããšã¯ããŸããŸã«ãLv.89äºä»¶ã¯çºçããªããŠãã®äžãããããšããããšã¯çããªãããšããããšãæã | fact1: ¬{G} -> ({E} & {F}) fact2: {A} -> {B} fact3: {C} fact4: ¬{A} -> ¬({C} & {B}) fact5: {E} -> (¬{D} & ¬{A}) | [] | [] | ããŽãªãŽãLv.0äºä»¶ãšã·ãã·ãLv.5äºä»¶äž¡æ¹ãšããçããããšããããšã¯æãç«ããªã | ¬({C} & {B}) | [] | 8 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãåãå§ããããšãèµ·ãããå ããŠæŠç¥ããããšãèµ·ããããšããããšã¯ãã·ãã·ã¡ãLv.80äºä»¶ã¯çºçããªãããšããããšã«åŒãèµ·ãããã fact2: ã·ãã·ãLv.5äºä»¶ã¯ãããããšããããšã«ç±æ¥ãã fact3: ãŽãªãŽãLv.0äºä»¶ãèµ·ãã fact4: ãããããããšããããšã¯èµ·ãããªããªãããŽãªãŽãLv.0äºä»¶ãšã·ãã·ãLv.5äºä»¶ã©ã¡ãããçããããšããããšã¯åœã§ãã fact5: åãå§ããããšã¯ããŸããŸã«ãLv.89äºä»¶ã¯çºçããªããŠãã®äžãããããšããããšã¯çããªãããšããããšãæã ; $hypothesis$ = ããŽãªãŽãLv.0äºä»¶ãšã·ãã·ãLv.5äºä»¶äž¡æ¹ãšããçããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{G} -> ({E} & {F}) fact2: {A} -> {B} fact3: {C} fact4: ¬{A} -> ¬({C} & {B}) fact5: {E} -> (¬{D} & ¬{A}) ; $hypothesis$ = ¬({C} & {B}) ; $proof$ = | __UNKNOWN__ |
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