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â | original_tree_steps
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ãã®ãŸããŸãLv.46ã¯åºã | {B}{aa} | fact1: ãã®ãŸããŸãLv.46ãå¹ãããªããšãããæªæ¯ã£ãœã fact2: ããããããã®ãŸããŸãLv.46ã¯äŒžã°ãæãããããçãæ·±ããªãããšããããšã¯æãç«ããªãããšããããšã¯ééãã ãšããããšã¯ãªããšãããšããã¯ã«ãã«ããã fact3: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯ç¡ããæ²ãããªãããšããããšã¯èª€ãã ãšããã°ããã¯åºã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãåããè¡ããªããšãããšèæã fact5: 人æã£ãããªãã¢ã³ã¹ã¿ãŒã¯æ»ãæã fact6: ä»®ã«ããã¢ã³ã¹ã¿ãŒãæããããªããšããã°è»œãŒã fact7: ããã®ãŸããŸãLv.46ã¯ç¡ãäžæ¹ã§æ²ãããªãããšããããšã¯èª€ãã§ãã | fact1: ¬{CB}{aa} -> {AF}{aa} fact2: ¬({II}{aa} & ¬{FU}{aa}) -> {AR}{aa} fact3: (x): ¬({AA}x & ¬{AB}x) -> {B}x fact4: (x): ¬{EE}x -> {ID}x fact5: (x): ¬{CL}x -> {FF}x fact6: (x): ¬{HP}x -> {BN}x fact7: ¬({AA}{aa} & ¬{AB}{aa}) | [
"fact3 -> int1: ããä»®ã«ããã®ãŸããŸãLv.46ã¯ç¡ããããã¯æ²ãããªãããšããããšã¯åœã§ãããªãåºã; int1 & fact7 -> hypothesis;"
] | [
"fact3 -> int1: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact7 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŸããŸãLv.46ãå¹ãããªããšãããæªæ¯ã£ãœã fact2: ããããããã®ãŸããŸãLv.46ã¯äŒžã°ãæãããããçãæ·±ããªãããšããããšã¯æãç«ããªãããšããããšã¯ééãã ãšããããšã¯ãªããšãããšããã¯ã«ãã«ããã fact3: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯ç¡ããæ²ãããªãããšããããšã¯èª€ãã ãšããã°ããã¯åºã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãåããè¡ããªããšãããšèæã fact5: 人æã£ãããªãã¢ã³ã¹ã¿ãŒã¯æ»ãæã fact6: ä»®ã«ããã¢ã³ã¹ã¿ãŒãæããããªããšããã°è»œãŒã fact7: ããã®ãŸããŸãLv.46ã¯ç¡ãäžæ¹ã§æ²ãããªãããšããããšã¯èª€ãã§ãã ; $hypothesis$ = ãã®ãŸããŸãLv.46ã¯åºã ; $proof$ = | fact3 -> int1: ããä»®ã«ããã®ãŸããŸãLv.46ã¯ç¡ããããã¯æ²ãããªãããšããããšã¯åœã§ãããªãåºã; int1 & fact7 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{CB}{aa} -> {AF}{aa} fact2: ¬({II}{aa} & ¬{FU}{aa}) -> {AR}{aa} fact3: (x): ¬({AA}x & ¬{AB}x) -> {B}x fact4: (x): ¬{EE}x -> {ID}x fact5: (x): ¬{CL}x -> {FF}x fact6: (x): ¬{HP}x -> {BN}x fact7: ¬({AA}{aa} & ¬{AB}{aa}) ; $hypothesis$ = {B}{aa} ; $proof$ = | fact3 -> int1: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact7 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ã¡ãã¿ãLv.14ã¯æšç®çŽ°ãããšããããšã¯ãªã | ¬{A}{aa} | fact1: ããã®ã¿ã¡ãã¿ãLv.14ã¯è¿äŒŒããªãäžæ¹ã§è¿·ä¿¡æ·±ãããšããããšã¯æãç«ããªããšãããšãããã¯æšç®çŽ°ããããšããããšã¯æãç«ã€ fact2: è¿äŒŒãããè¿·ä¿¡æ·±ããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ããã¯è¿äŒŒããªããŠãŸãããã¯è¿·ä¿¡æ·±ããšããã¢ã³ã¹ã¿ãŒã¯ãªã | fact1: ¬(¬{AA}{aa} & {AB}{aa}) -> {A}{aa} fact2: (x): ¬({AA}x & {AB}x) fact3: (x): ¬(¬{AA}x & {AB}x) | [
"fact3 -> int1: ããã®ã¿ã¡ãã¿ãLv.14ã¯è¿äŒŒãããšããããšã¯ãªãããã©ããã¯è¿·ä¿¡æ·±ãããšããããšã¯æãç«ããªã; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã®ã¿ã¡ãã¿ãLv.14ã¯è¿äŒŒããªãäžæ¹ã§è¿·ä¿¡æ·±ãããšããããšã¯æãç«ããªããšãããšãããã¯æšç®çŽ°ããããšããããšã¯æãç«ã€ fact2: è¿äŒŒãããè¿·ä¿¡æ·±ããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ããã¯è¿äŒŒããªããŠãŸãããã¯è¿·ä¿¡æ·±ããšããã¢ã³ã¹ã¿ãŒã¯ãªã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ãLv.14ã¯æšç®çŽ°ãããšããããšã¯ãªã ; $proof$ = | fact3 -> int1: ããã®ã¿ã¡ãã¿ãLv.14ã¯è¿äŒŒãããšããããšã¯ãªãããã©ããã¯è¿·ä¿¡æ·±ãããšããããšã¯æãç«ããªã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA}{aa} & {AB}{aa}) -> {A}{aa} fact2: (x): ¬({AA}x & {AB}x) fact3: (x): ¬(¬{AA}x & {AB}x) ; $hypothesis$ = ¬{A}{aa} ; $proof$ = | fact3 -> int1: ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãéè²ãæããšããããšãçããããšããããšã¯æãç«ã€ | {C} | fact1: ãéè²ãæããšããããšãçºçããããšããããšã¯æšãŠé£ããšããããšãåå ã fact2: æšãŠé£ããšããããšã¯æ¹åä»ããããšããã£ããã§ãã fact3: æ¹åä»ããããšãçºçãã fact4: ããä»®ã«æšãŠé£ããšããããšã¯èµ·ããªãããŸãã¯ãŸã«ã
ãŸãLv.97äºä»¶ãèµ·ããããããã¯ã©ã¡ããã§ãããšãããæšãŠé£ããšããããšã¯èµ·ããªã | fact1: {B} -> {C} fact2: {A} -> {B} fact3: {A} fact4: (¬{B} v {E}) -> ¬{B} | [
"fact2 & fact3 -> int1: æšãŠé£ããšããããšãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | éè²ãæããšããããšã¯çããªã | ¬{C} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãéè²ãæããšããããšãçºçããããšããããšã¯æšãŠé£ããšããããšãåå ã fact2: æšãŠé£ããšããããšã¯æ¹åä»ããããšããã£ããã§ãã fact3: æ¹åä»ããããšãçºçãã fact4: ããä»®ã«æšãŠé£ããšããããšã¯èµ·ããªãããŸãã¯ãŸã«ã
ãŸãLv.97äºä»¶ãèµ·ããããããã¯ã©ã¡ããã§ãããšãããæšãŠé£ããšããããšã¯èµ·ããªã ; $hypothesis$ = ãéè²ãæããšããããšãçããããšããããšã¯æãç«ã€ ; $proof$ = | fact2 & fact3 -> int1: æšãŠé£ããšããããšãèµ·ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> {C} fact2: {A} -> {B} fact3: {A} fact4: (¬{B} v {E}) -> ¬{B} ; $hypothesis$ = {C} ; $proof$ = | fact2 & fact3 -> int1: {B}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã«ããLv.15äºä»¶ãšãããããšããããšã©ã¡ãããçãã | ({A} & {B}) | fact1: ãã«ããLv.15äºä»¶ãçºçãã fact2: ãœããœã¡ã
Lv.19äºä»¶ãèµ·ãã fact3: ãããããšããããšãçºçãã fact4: çºãŸãæããšããããšã¯èµ·ãããªããšããã°ããã«ããLv.15äºä»¶ããã³ãããããšããããšäž¡æ¹ãçºçããããšããããšã¯æãç«ããªã | fact1: {A} fact2: {HP} fact3: {B} fact4: ¬{C} -> ¬({A} & {B}) | [
"fact1 -> int1: ãã«ããLv.15äºä»¶ãçºçãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 & fact3 -> hypothesis;"
] | ããã«ããLv.15äºä»¶ãèµ·ããããã€ãããããšããããšãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({A} & {B}) | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã«ããLv.15äºä»¶ãçºçãã fact2: ãœããœã¡ã
Lv.19äºä»¶ãèµ·ãã fact3: ãããããšããããšãçºçãã fact4: çºãŸãæããšããããšã¯èµ·ãããªããšããã°ããã«ããLv.15äºä»¶ããã³ãããããšããããšäž¡æ¹ãçºçããããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã«ããLv.15äºä»¶ãšãããããšããããšã©ã¡ãããçãã ; $proof$ = | fact1 -> int1: ãã«ããLv.15äºä»¶ãçºçãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {HP} fact3: {B} fact4: ¬{C} -> ¬({A} & {B}) ; $hypothesis$ = ({A} & {B}) ; $proof$ = | fact1 -> int1: {A}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŽãªãŽãLv.58ã¯è¡ãæãããšããããšã¯ééã£ãŠããªã | {C}{aa} | fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åºè¡ãæããªããªãã°ããããã¯åè§ããªããæŽã«äœã¿é£ãããšããããšã¯æãç«ã€ããšããããšã¯ééãã§ãã fact2: ãã®ãŽãªãŽãLv.58ã¯äœã¿è¯ã fact3: ããä»®ã«ããã®ã¿ãªã¿ãLv.64ã¯åè§ããšããããšã¯ãªãããã©äœã¿é£ãããšããããšã¯æãç«ããªããªããã®ãã¡ããã«Lv.36ã¯åè§ããšããããšã¯ãªã fact4: ãããããã¢ã³ã¹ã¿ãŒã¯åºè¡ãæããªãããšããããšã¯æãç«ã€ fact5: ãããã®ãã¡ããã«Lv.36ãåè§ããªããšãããšãã®ã¿ã«ã¿ãLv.45ã¯å£æãããŠãŸãäœã¿è¯ã | fact1: (x): ¬{E}x -> ¬(¬{D}x & {F}x) fact2: {A}{aa} fact3: ¬(¬{D}{c} & {F}{c}) -> ¬{D}{b} fact4: (x): ¬{E}x fact5: ¬{D}{b} -> ({B}{a} & {A}{a}) | [] | [] | ããã®ãŽãªãŽãLv.58ã¯è¡ãæãããšããããšã¯ééã£ãŠããªã | {C}{aa} | [
"fact7 -> int1: ãã®ãã¡ããã«ãLv.30ã¯åºè¡ãæããªã; fact6 -> int2: ããããã®ãã¡ããã«ãLv.30ã¯åºè¡ãæããªããšãããããã®ãã¡ããã«ãLv.30ã¯åè§ããªããã©äœã¿é£ãããšããããšã¯ç¢ºãã§ãããšããããšã¯ãªã; int1 & int2 -> int3: ããã®ãã¡ããã«ãLv.30ã¯åè§ããªãããããããã¯äœã¿é£ãããšããããšã¯åœã§ãã; int3 -> int4: åè§ããªãã¢ã³ã¹ã¿ãŒã§ããäœã¿é£ãã¢ã³ã¹ã¿ãŒã¯ãªã; int4 -> int5: ããã®ã¿ãªã¿ãLv.64ã¯åè§ããªãããã©äœã¿é£ãããšããããšã¯æãç«ããªã; fact8 & int5 -> int6: ãã®ãã¡ããã«Lv.36ã¯åè§ããªã; int6 & fact9 -> int7: ãã®ã¿ã«ã¿ãLv.45ã¯å£æãããŠäœã¿è¯ã; int7 -> int8: ãã®ã¿ã«ã¿ãLv.45ã¯äœã¿è¯ã;"
] | 9 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åºè¡ãæããªããªãã°ããããã¯åè§ããªããæŽã«äœã¿é£ãããšããããšã¯æãç«ã€ããšããããšã¯ééãã§ãã fact2: ãã®ãŽãªãŽãLv.58ã¯äœã¿è¯ã fact3: ããä»®ã«ããã®ã¿ãªã¿ãLv.64ã¯åè§ããšããããšã¯ãªãããã©äœã¿é£ãããšããããšã¯æãç«ããªããªããã®ãã¡ããã«Lv.36ã¯åè§ããšããããšã¯ãªã fact4: ãããããã¢ã³ã¹ã¿ãŒã¯åºè¡ãæããªãããšããããšã¯æãç«ã€ fact5: ãããã®ãã¡ããã«Lv.36ãåè§ããªããšãããšãã®ã¿ã«ã¿ãLv.45ã¯å£æãããŠãŸãäœã¿è¯ã ; $hypothesis$ = ããã®ãŽãªãŽãLv.58ã¯è¡ãæãããšããããšã¯ééã£ãŠããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{E}x -> ¬(¬{D}x & {F}x) fact2: {A}{aa} fact3: ¬(¬{D}{c} & {F}{c}) -> ¬{D}{b} fact4: (x): ¬{E}x fact5: ¬{D}{b} -> ({B}{a} & {A}{a}) ; $hypothesis$ = {C}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã¡ããœãLv.58ã¯èœã¡ã | {B}{a} | fact1: ãã®ãœã¡ããœãLv.58ã¯å§Šãã | fact1: {A}{a} | [
"fact1 -> int1: ãã®ãœã¡ããœãLv.58ã¯å§Šãã;"
] | [
"fact1 -> int1: {A}{a};"
] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãœã¡ããœãLv.58ã¯å§Šãã ; $hypothesis$ = ãã®ãœã¡ããœãLv.58ã¯èœã¡ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} ; $hypothesis$ = {B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽãLv.71ã¯éãã | {A}{a} | fact1: ããããã®ã·ãã·ã«ãLv.6ã¯ç©æ¬²ãããã©æãããããªãããšããããšã¯åœã§ãããšãããšãã®ãŽããŽãLv.71ã¯éãããªã fact2: ç©æ¬²ãããããŸãã«æãããããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã | fact1: ¬({AA}{aa} & ¬{AB}{aa}) -> ¬{A}{a} fact2: (x): ¬({AA}x & ¬{AB}x) | [
"fact2 -> int1: ããã®ã·ãã·ã«ãLv.6ã¯ç©æ¬²ããããããããã¯æãããããªãããšããããšã¯æãç«ããªã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ã·ãã·ã«ãLv.6ã¯ç©æ¬²ãããã©æãããããªãããšããããšã¯åœã§ãããšãããšãã®ãŽããŽãLv.71ã¯éãããªã fact2: ç©æ¬²ãããããŸãã«æãããããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã ; $hypothesis$ = ãã®ãŽããŽãLv.71ã¯éãã ; $proof$ = | fact2 -> int1: ããã®ã·ãã·ã«ãLv.6ã¯ç©æ¬²ããããããããã¯æãããããªãããšããããšã¯æãç«ããªã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({AA}{aa} & ¬{AB}{aa}) -> ¬{A}{a} fact2: (x): ¬({AA}x & ¬{AB}x) ; $hypothesis$ = {A}{a} ; $proof$ = | fact2 -> int1: ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ããªãã«Lv.84ã¯èª€ãç¡ããŠæŽã«æ Œå¥œè¯ãããšããããšã¯èª€ã£ãŠãã | ¬({B}{a} & {C}{a}) | fact1: ãã®ããªãã«Lv.84ã¯æ Œå¥œè¯ã fact2: ä»®ã«ãã®ããªãã«Lv.84ã誀ãç¡ãã匟ãæããªããšãããšãã®ã¿ã®ã¿ãLv.23ã¯èª€ãç¡ããªã fact3: ãã®ããªãã«Lv.84ã¯è¡ã fact4: ãããã®ããªãã«Lv.84ãè¡ããªãã°èª€ãç¡ã | fact1: {C}{a} fact2: ({B}{a} & ¬{D}{a}) -> ¬{B}{gl} fact3: {A}{a} fact4: {A}{a} -> {B}{a} | [
"fact4 & fact3 -> int1: ãã®ããªãã«Lv.84ã¯èª€ãç¡ã; int1 & fact1 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ã¿ã®ã¿ãLv.23ã¯è¶ã£ãœããŠå€ã | ({ID}{gl} & {HP}{gl}) | [] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ããªãã«Lv.84ã¯æ Œå¥œè¯ã fact2: ä»®ã«ãã®ããªãã«Lv.84ã誀ãç¡ãã匟ãæããªããšãããšãã®ã¿ã®ã¿ãLv.23ã¯èª€ãç¡ããªã fact3: ãã®ããªãã«Lv.84ã¯è¡ã fact4: ãããã®ããªãã«Lv.84ãè¡ããªãã°èª€ãç¡ã ; $hypothesis$ = ããã®ããªãã«Lv.84ã¯èª€ãç¡ããŠæŽã«æ Œå¥œè¯ãããšããããšã¯èª€ã£ãŠãã ; $proof$ = | fact4 & fact3 -> int1: ãã®ããªãã«Lv.84ã¯èª€ãç¡ã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} fact2: ({B}{a} & ¬{D}{a}) -> ¬{B}{gl} fact3: {A}{a} fact4: {A}{a} -> {B}{a} ; $hypothesis$ = ¬({B}{a} & {C}{a}) ; $proof$ = | fact4 & fact3 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã«ã
ã·ã«ã
Lv.21ã¯æ¹Ÿæ²ããªãããããã¯ããã¯å¿æ·±ã | (¬{AA}{a} v {AB}{a}) | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ã¡ããããŠå ããŠè§£ãæã fact2: ãã®ã·ã«ã
ã·ã«ã
Lv.21ãåãããªããŠããã«ãããæ··äœããªããªããã®ã·ã«ã
ã·ã«ã
Lv.21ã¯è§£ãæããªã fact3: 解ãæããªãã¢ã³ã¹ã¿ãŒã¯ã¡ãããããããã¯ç©æ²ããããããã¯äž¡æ¹ãšãã fact4: ããããã¢ã³ã¹ã¿ãŒã¯æ¹Ÿæ²ããªããå¿æ·±ããäž¡æ¹ãšãã§ãã fact5: ç©æ²ããã¢ã³ã¹ã¿ãŒã¯åŸããã fact6: ãããšããã¢ã³ã¹ã¿ãŒãã¡ããããšãããããã¯ç©æ²ãã | fact1: (x): ({C}x & {D}x) fact2: (¬{F}{a} & ¬{E}{a}) -> ¬{D}{a} fact3: (x): ¬{D}x -> ({C}x v {B}x) fact4: (x): (¬{AA}x v {AB}x) fact5: (x): {B}x -> {A}x fact6: (x): {C}x -> {B}x | [
"fact4 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯æ¹Ÿæ²ããªããå¿æ·±ããäž¡æ¹ãšãã§ãã; int1 -> hypothesis;"
] | [
"fact4 -> int1: (x): (¬{AA}x v {AB}x); int1 -> hypothesis;"
] | ããããã¢ã³ã¹ã¿ãŒã¯ç®å®ãé£ããªãããããã¯ããã¯åãã | (x): (¬{IK}x v {G}x) | [
"fact9 -> int2: ãããã®ã·ã«ã
ã·ã«ã
Lv.21ãç©æ²ãããªãã°ãã®ã·ã«ã
ã·ã«ã
Lv.21ã¯åŸããã; fact8 -> int3: ãã®ã·ã«ã
ã·ã«ã
Lv.21ã¯ã¡ããããŠè§£ãæã; int3 -> int4: ãã®ã·ã«ã
ã·ã«ã
Lv.21ã¯ã¡ããã; fact7 -> int5: ããä»®ã«ãã®ã·ã«ã
ã·ã«ã
Lv.21ãã¡ããããšãããšãã®ã·ã«ã
ã·ã«ã
Lv.21ã¯ç©æ²ãã; int4 & int5 -> int6: ãã®ã·ã«ã
ã·ã«ã
Lv.21ã¯ç©æ²ãã; int2 & int6 -> int7: ãã®ã·ã«ã
ã·ã«ã
Lv.21ã¯åŸããã;"
] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ã¡ããããŠå ããŠè§£ãæã fact2: ãã®ã·ã«ã
ã·ã«ã
Lv.21ãåãããªããŠããã«ãããæ··äœããªããªããã®ã·ã«ã
ã·ã«ã
Lv.21ã¯è§£ãæããªã fact3: 解ãæããªãã¢ã³ã¹ã¿ãŒã¯ã¡ãããããããã¯ç©æ²ããããããã¯äž¡æ¹ãšãã fact4: ããããã¢ã³ã¹ã¿ãŒã¯æ¹Ÿæ²ããªããå¿æ·±ããäž¡æ¹ãšãã§ãã fact5: ç©æ²ããã¢ã³ã¹ã¿ãŒã¯åŸããã fact6: ãããšããã¢ã³ã¹ã¿ãŒãã¡ããããšãããããã¯ç©æ²ãã ; $hypothesis$ = ãã®ã·ã«ã
ã·ã«ã
Lv.21ã¯æ¹Ÿæ²ããªãããããã¯ããã¯å¿æ·±ã ; $proof$ = | fact4 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯æ¹Ÿæ²ããªããå¿æ·±ããäž¡æ¹ãšãã§ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({C}x & {D}x) fact2: (¬{F}{a} & ¬{E}{a}) -> ¬{D}{a} fact3: (x): ¬{D}x -> ({C}x v {B}x) fact4: (x): (¬{AA}x v {AB}x) fact5: (x): {B}x -> {A}x fact6: (x): {C}x -> {B}x ; $hypothesis$ = (¬{AA}{a} v {AB}{a}) ; $proof$ = | fact4 -> int1: (x): (¬{AA}x v {AB}x); int1 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ãã¿ãLv.54ã¯äžãæãããšããããšã¯æãç«ã€ | {B}{aa} | fact1: ããã®ã¿ãã¿ãLv.54ã¯æã¿èŸŒã¿æããªããŠããã¯æ¶åãåããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æã¿èŸŒã¿æããªããããŸãã«ããã¯æ¶åãåããªãããšããããšã¯åœã§ãããšãããšäžãæããšããããšã¯ãªã fact3: ãããã®ã¿ãã¿ãLv.54ã¯æ¶åãåããã°ããã¯äžãæããªã fact4: ä»®ã«äžãæããªãã¢ã³ã¹ã¿ãŒãç®èŠãŸãããšããã°ããã¯æ¶åãåãããšããããšã¯ãªã | fact1: ¬(¬{AA}{aa} & ¬{AB}{aa}) fact2: (x): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x fact3: {AB}{aa} -> ¬{B}{aa} fact4: (x): (¬{B}x & {A}x) -> ¬{AB}x | [
"fact2 -> int1: ããä»®ã«ããã®ã¿ãã¿ãLv.54ã¯æã¿èŸŒã¿æããªããããŸãã«æ¶åãåããªãããšããããšã¯çå®ã§ãªããšãããããã¯äžãæããªã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa}; int1 & fact1 -> hypothesis;"
] | ãã®ã¿ãã¿ã«ã
Lv.78ã¯æ¶åãåããªã | ¬{AB}{in} | [
"fact5 -> int2: ä»®ã«ããã®ã¿ãã¿ã«ã
Lv.78ã¯äžãæããšããããšã¯ãªãããã©ç®èŠãŸããããšããããšã¯æ¬åœã§ãããšããã°æ¶åãåããªã;"
] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã®ã¿ãã¿ãLv.54ã¯æã¿èŸŒã¿æããªããŠããã¯æ¶åãåããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æã¿èŸŒã¿æããªããããŸãã«ããã¯æ¶åãåããªãããšããããšã¯åœã§ãããšãããšäžãæããšããããšã¯ãªã fact3: ãããã®ã¿ãã¿ãLv.54ã¯æ¶åãåããã°ããã¯äžãæããªã fact4: ä»®ã«äžãæããªãã¢ã³ã¹ã¿ãŒãç®èŠãŸãããšããã°ããã¯æ¶åãåãããšããããšã¯ãªã ; $hypothesis$ = ããã®ã¿ãã¿ãLv.54ã¯äžãæãããšããããšã¯æãç«ã€ ; $proof$ = | fact2 -> int1: ããä»®ã«ããã®ã¿ãã¿ãLv.54ã¯æã¿èŸŒã¿æããªããããŸãã«æ¶åãåããªãããšããããšã¯çå®ã§ãªããšãããããã¯äžãæããªã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA}{aa} & ¬{AB}{aa}) fact2: (x): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x fact3: {AB}{aa} -> ¬{B}{aa} fact4: (x): (¬{B}x & {A}x) -> ¬{AB}x ; $hypothesis$ = {B}{aa} ; $proof$ = | fact2 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ã¡ãã·ã«ãLv.98ã¯åŠå®ãé£ããªãããšããããšã¯æãç«ã€ | ¬{A}{a} | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ç§»ããæã | fact1: (x): {HG}x | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ç§»ããæã ; $hypothesis$ = ããã®ã·ã¡ãã·ã«ãLv.98ã¯åŠå®ãé£ããªãããšããããšã¯æãç«ã€ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {HG}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã«ãLv.87äºä»¶ãçãã | {C} | fact1: ãŽããŽã¡ãLv.9äºä»¶ãèµ·ãã fact2: ãããšãèããšããããšã¯èµ·ããªããšããã°ãã·ã«ãã·ã®Lv.36äºä»¶ãçããªãããŸããŽããŽã¡ãLv.9äºä»¶ã¯èµ·ãããªãããšããããšã¯ééãã§ãã fact3: ä»®ã«ãœã¡ããœãLv.80äºä»¶ã¯çºçããäžæ¹ã§ã·ãã·ãLv.94äºä»¶ã¯èµ·ããªããšããããšãèããšããããšã¯çºçããªã fact4: ãŽããŽã¡ãLv.9äºä»¶ããã³ã·ã«ãã·ã®Lv.36äºä»¶äž¡æ¹ãèµ·ãã fact5: ãããã«ã
Lv.88äºä»¶ãèµ·ãã fact6: ããããã«ãLv.87äºä»¶ã¯èµ·ããªãããšããããšã¯ã·ã«ãã·ã®Lv.36äºä»¶ã«é»ãŸãã | fact1: {A} fact2: ¬{D} -> ¬(¬{B} & ¬{A}) fact3: ({E} & ¬{F}) -> ¬{D} fact4: ({A} & {B}) fact5: {HG} fact6: {B} -> {C} | [
"fact4 -> int1: ã·ã«ãã·ã®Lv.36äºä»¶ãèµ·ãã; int1 & fact6 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 & fact6 -> hypothesis;"
] | ãããã«ãLv.87äºä»¶ã¯èµ·ããªã | ¬{C} | [] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŽããŽã¡ãLv.9äºä»¶ãèµ·ãã fact2: ãããšãèããšããããšã¯èµ·ããªããšããã°ãã·ã«ãã·ã®Lv.36äºä»¶ãçããªãããŸããŽããŽã¡ãLv.9äºä»¶ã¯èµ·ãããªãããšããããšã¯ééãã§ãã fact3: ä»®ã«ãœã¡ããœãLv.80äºä»¶ã¯çºçããäžæ¹ã§ã·ãã·ãLv.94äºä»¶ã¯èµ·ããªããšããããšãèããšããããšã¯çºçããªã fact4: ãŽããŽã¡ãLv.9äºä»¶ããã³ã·ã«ãã·ã®Lv.36äºä»¶äž¡æ¹ãèµ·ãã fact5: ãããã«ã
Lv.88äºä»¶ãèµ·ãã fact6: ããããã«ãLv.87äºä»¶ã¯èµ·ããªãããšããããšã¯ã·ã«ãã·ã®Lv.36äºä»¶ã«é»ãŸãã ; $hypothesis$ = ãããã«ãLv.87äºä»¶ãçãã ; $proof$ = | fact4 -> int1: ã·ã«ãã·ã®Lv.36äºä»¶ãèµ·ãã; int1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ¬{D} -> ¬(¬{B} & ¬{A}) fact3: ({E} & ¬{F}) -> ¬{D} fact4: ({A} & {B}) fact5: {HG} fact6: {B} -> {C} ; $hypothesis$ = {C} ; $proof$ = | fact4 -> int1: {B}; int1 & fact6 -> hypothesis; __PROVED__ |
0.3 | å¬ãããšããããšã¯èµ·ãããªã | ¬{C} | fact1: ãã¿ã«ãã¿ãLv.59äºä»¶ãšè¬ãå»ãããšäž¡æ¹ãšããçããããšããããšã¯æµ®ãã¹ãããšã¯èµ·ããªããšããããšã«ç±æ¥ãã fact2: åæ
ããããšãšã¿ã«ãã¿ãLv.59äºä»¶äž¡æ¹ãšããèµ·ãã fact3: åæ
ããããšã¯å¬ãããšããããšãåŒãèµ·ãã | fact1: ¬{E} -> ({B} & {D}) fact2: ({A} & {B}) fact3: {A} -> {C} | [
"fact2 -> int1: åæ
ããããšãçºçãã; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact3 -> hypothesis;"
] | å¬ãããšããããšã¯èµ·ãããªã | ¬{C} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã¿ã«ãã¿ãLv.59äºä»¶ãšè¬ãå»ãããšäž¡æ¹ãšããçããããšããããšã¯æµ®ãã¹ãããšã¯èµ·ããªããšããããšã«ç±æ¥ãã fact2: åæ
ããããšãšã¿ã«ãã¿ãLv.59äºä»¶äž¡æ¹ãšããèµ·ãã fact3: åæ
ããããšã¯å¬ãããšããããšãåŒãèµ·ãã ; $hypothesis$ = å¬ãããšããããšã¯èµ·ãããªã ; $proof$ = | fact2 -> int1: åæ
ããããšãçºçãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{E} -> ({B} & {D}) fact2: ({A} & {B}) fact3: {A} -> {C} ; $hypothesis$ = ¬{C} ; $proof$ = | fact2 -> int1: {A}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | èš±ãé£ããšããããšãèµ·ãã | {C} | fact1: ä»åž¯ããããšãèµ·ãã fact2: äºæããããšããããã¯ãŽã¡ããŽãLv.40äºä»¶ã¯èš±ãé£ããšããããšãé²ã fact3: ãŽã¡ããŽãLv.40äºä»¶ãçºçãã | fact1: {ES} fact2: ({A} v {B}) -> ¬{C} fact3: {B} | [
"fact3 -> int1: äºæããããšããããã¯ãŽã¡ããŽãLv.40äºä»¶ããããã¯äž¡æ¹ãšããçºçãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: ({A} v {B}); int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»åž¯ããããšãèµ·ãã fact2: äºæããããšããããã¯ãŽã¡ããŽãLv.40äºä»¶ã¯èš±ãé£ããšããããšãé²ã fact3: ãŽã¡ããŽãLv.40äºä»¶ãçºçãã ; $hypothesis$ = èš±ãé£ããšããããšãèµ·ãã ; $proof$ = | fact3 -> int1: äºæããããšããããã¯ãŽã¡ããŽãLv.40äºä»¶ããããã¯äž¡æ¹ãšããçºçãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {ES} fact2: ({A} v {B}) -> ¬{C} fact3: {B} ; $hypothesis$ = {C} ; $proof$ = | fact3 -> int1: ({A} v {B}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ããŽãLv.4ã¯ããããŸãã | {A}{b} | fact1: ããä»®ã«ãã®ãŽããŽã«Lv.30ãã€ããªãããããæ°é«ããªããšãããšãã®ãŽã«ããŽãLv.4ã¯çãèŸã fact2: ä»®ã«ãã®ãŽã«ããŽãLv.4ãçãèŸããšããã°ããã¯ããããŸãã fact3: ãã®ãŽããŽã«Lv.30ã¯ã€ããªããæ°é«ããªã | fact1: ({AA}{a} & ¬{AB}{a}) -> {B}{b} fact2: {B}{b} -> {A}{b} fact3: ({AA}{a} & ¬{AB}{a}) | [
"fact1 & fact3 -> int1: ããã®ãŽã«ããŽãLv.4ã¯çãèŸãããšããããšã¯æ£ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}{b}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽã«Lv.30ãã€ããªãããããæ°é«ããªããšãããšãã®ãŽã«ããŽãLv.4ã¯çãèŸã fact2: ä»®ã«ãã®ãŽã«ããŽãLv.4ãçãèŸããšããã°ããã¯ããããŸãã fact3: ãã®ãŽããŽã«Lv.30ã¯ã€ããªããæ°é«ããªã ; $hypothesis$ = ãã®ãŽã«ããŽãLv.4ã¯ããããŸãã ; $proof$ = | fact1 & fact3 -> int1: ããã®ãŽã«ããŽãLv.4ã¯çãèŸãããšããããšã¯æ£ãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({AA}{a} & ¬{AB}{a}) -> {B}{b} fact2: {B}{b} -> {A}{b} fact3: ({AA}{a} & ¬{AB}{a}) ; $hypothesis$ = {A}{b} ; $proof$ = | fact1 & fact3 -> int1: {B}{b}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã«ããŽã¡ãLv.68ã¯æãæããªã | ¬{B}{aa} | fact1: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãå±ãããªããªãããã¯æããªã fact2: çããªãã¢ã³ã¹ã¿ãŒã¯ããããªã fact3: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æãããæããããŸãã«æ¥é£ãããšããããšã¯æ£ãããªããšãããåž°çããªã fact4: ããã®ãŽã«ããŽã¡ãLv.68ã¯çãæ·±ããå ããŠèµ·ããé£ãããšããããšã¯åã§ãã fact5: ããšããã¢ã³ã¹ã¿ãŒã¯çãæ·±ããŠãŸãèµ·ããé£ãããšããããšã¯ç¢ºãã ãšããããšã¯ãªããªãæãæããªã fact6: ããã®ãŽã«ããŽã¡ãLv.68ã¯èãæããŠå ããŠçãæ·±ãããšããããšã¯ééãã§ãã fact7: ããã®ãŽã«ããŽã¡ãLv.68ã¯æ®ãæãããããçœã£ãœãããšããããšã¯æãç«ããªã | fact1: (x): ¬{JE}x -> ¬{EP}x fact2: (x): ¬{FN}x -> ¬{AE}x fact3: (x): ¬({FQ}x & {BB}x) -> ¬{IN}x fact4: ¬({AA}{aa} & {AB}{aa}) fact5: (x): ¬({AA}x & {AB}x) -> ¬{B}x fact6: ¬({BL}{aa} & {AA}{aa}) fact7: ¬({FD}{aa} & {Q}{aa}) | [
"fact5 -> int1: ããä»®ã«ããã®ãŽã«ããŽã¡ãLv.68ã¯çãæ·±ããæŽã«èµ·ããé£ãããšããããšã¯çå®ã§ãªããšããã°ãã®ãŽã«ããŽã¡ãLv.68ã¯æãæããªã; int1 & fact4 -> hypothesis;"
] | [
"fact5 -> int1: ¬({AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | null | PROVED | null | $facts$ = fact1: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãå±ãããªããªãããã¯æããªã fact2: çããªãã¢ã³ã¹ã¿ãŒã¯ããããªã fact3: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æãããæããããŸãã«æ¥é£ãããšããããšã¯æ£ãããªããšãããåž°çããªã fact4: ããã®ãŽã«ããŽã¡ãLv.68ã¯çãæ·±ããå ããŠèµ·ããé£ãããšããããšã¯åã§ãã fact5: ããšããã¢ã³ã¹ã¿ãŒã¯çãæ·±ããŠãŸãèµ·ããé£ãããšããããšã¯ç¢ºãã ãšããããšã¯ãªããªãæãæããªã fact6: ããã®ãŽã«ããŽã¡ãLv.68ã¯èãæããŠå ããŠçãæ·±ãããšããããšã¯ééãã§ãã fact7: ããã®ãŽã«ããŽã¡ãLv.68ã¯æ®ãæãããããçœã£ãœãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ãŽã«ããŽã¡ãLv.68ã¯æãæããªã ; $proof$ = | fact5 -> int1: ããä»®ã«ããã®ãŽã«ããŽã¡ãLv.68ã¯çãæ·±ããæŽã«èµ·ããé£ãããšããããšã¯çå®ã§ãªããšããã°ãã®ãŽã«ããŽã¡ãLv.68ã¯æãæããªã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{JE}x -> ¬{EP}x fact2: (x): ¬{FN}x -> ¬{AE}x fact3: (x): ¬({FQ}x & {BB}x) -> ¬{IN}x fact4: ¬({AA}{aa} & {AB}{aa}) fact5: (x): ¬({AA}x & {AB}x) -> ¬{B}x fact6: ¬({BL}{aa} & {AA}{aa}) fact7: ¬({FD}{aa} & {Q}{aa}) ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | fact5 -> int1: ¬({AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãé¢çœããããããã®äžããã£ãŽããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ({A}x & {B}x) | fact1: ããã®ã·ã®ã·ãªLv.70ã¯åèŠãããæŽã«èãå¯ãããšããããšã¯æãç«ã€ fact2: ãæããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããã®ã·ã®ã·ãªLv.70ã¯ããã£ãŽãããšããããšã¯äºå®ãšç°ãªããªã fact4: ãã®ã·ã®ã·ãªLv.70ã¯é¢çœãããã | fact1: ({IF}{a} & {U}{a}) fact2: (Ex): {BI}x fact3: {B}{a} fact4: {A}{a} | [
"fact4 & fact3 -> int1: ãã®ã·ã®ã·ãªLv.70ã¯é¢çœãããããŠãã€ããã£ãŽã; int1 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: ({A}{a} & {B}{a}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ã·ã®ã·ãªLv.70ã¯åèŠãããæŽã«èãå¯ãããšããããšã¯æãç«ã€ fact2: ãæããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããã®ã·ã®ã·ãªLv.70ã¯ããã£ãŽãããšããããšã¯äºå®ãšç°ãªããªã fact4: ãã®ã·ã®ã·ãªLv.70ã¯é¢çœãããã ; $hypothesis$ = ãé¢çœããããããã®äžããã£ãŽããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | fact4 & fact3 -> int1: ãã®ã·ã®ã·ãªLv.70ã¯é¢çœãããããŠãã€ããã£ãŽã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({IF}{a} & {U}{a}) fact2: (Ex): {BI}x fact3: {B}{a} fact4: {A}{a} ; $hypothesis$ = (Ex): ({A}x & {B}x) ; $proof$ = | fact4 & fact3 -> int1: ({A}{a} & {B}{a}); int1 -> hypothesis; __PROVED__ |
0.3 | ã·ã¡ã
ã·ãªLv.72äºä»¶ãçºçãã | {AA} | fact1: ã·ã¡ã
ã·ãªLv.72äºä»¶ã¯èµ·ãããªããŠãŸããŸãªLv.29äºä»¶ãèµ·ãã fact2: éããšããããšã¯çããªããŠå±ãããšããããšãèµ·ãã | fact1: (¬{AA} & {AB}) fact2: (¬{AT} & {CN}) | [
"fact1 -> int1: ã·ã¡ã
ã·ãªLv.72äºä»¶ã¯èµ·ãããªããŠãŸããŸãªLv.29äºä»¶ãèµ·ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (¬{AA} & {AB}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ã·ã¡ã
ã·ãªLv.72äºä»¶ã¯èµ·ãããªããŠãŸããŸãªLv.29äºä»¶ãèµ·ãã fact2: éããšããããšã¯çããªããŠå±ãããšããããšãèµ·ãã ; $hypothesis$ = ã·ã¡ã
ã·ãªLv.72äºä»¶ãçºçãã ; $proof$ = | fact1 -> int1: ã·ã¡ã
ã·ãªLv.72äºä»¶ã¯èµ·ãããªããŠãŸããŸãªLv.29äºä»¶ãèµ·ãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{AA} & {AB}) fact2: (¬{AT} & {CN}) ; $hypothesis$ = {AA} ; $proof$ = | fact1 -> int1: (¬{AA} & {AB}); int1 -> hypothesis; __DISPROVED__ |
0.3 | ãå»ãããšããã³ãŸã«ã
ãŸãLv.75äºä»¶ãèµ·ããããšããããšã¯äºå®ãšç°ãªã | ¬({A} & {C}) | fact1: å»ãããšãèµ·ããããã«ãã«ãLv.73äºä»¶ã¯çºçããªã fact2: ãŸã«ã
ãŸãLv.75äºä»¶ãèµ·ãã | fact1: ({A} & ¬{B}) fact2: {C} | [
"fact1 -> int1: å»ãããšãçãã; 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: å»ãããšãèµ·ããããã«ãã«ãLv.73äºä»¶ã¯çºçããªã fact2: ãŸã«ã
ãŸãLv.75äºä»¶ãèµ·ãã ; $hypothesis$ = ãå»ãããšããã³ãŸã«ã
ãŸãLv.75äºä»¶ãèµ·ããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact1 -> int1: å»ãããšãçãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & ¬{B}) fact2: {C} ; $hypothesis$ = ¬({A} & {C}) ; $proof$ = | fact1 -> int1: {A}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœããªããŠåãªããšããããšã¯ãªã | (¬{D}{b} & ¬{A}{b}) | fact1: ããã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœãããã©åãªããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã fact2: ä»®ã«ãã®ãŽããŽã«Lv.11ã¯åãªããªãã°ããã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœããšããããšã¯ãªãäžæ¹ã§ããã¯åãªãããšããããšã¯ééãã fact3: ãã®ãŽããŽã«Lv.11ã¯åãªããšãããšãããã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœããªããŠãŸãããã¯åãªããªãããšããããšã¯èª€ãã§ããããšããããšã¯æãç«ã€ fact4: ããä»®ã«ããã®ãŽããŽã«Lv.11ã¯åãªãããšããããšã¯èª€ãã§ãªããšããã°ããã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœããåãªããªãããšããããšã¯æãç«ããªã fact5: ããã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœããšããããšã¯ãªããåãªãããšããããšã¯æãç«ããªã fact6: ãã®ãŽããŽã«Lv.11ã¯åãªããããã«ã¡ã£ãã | fact1: ¬({D}{b} & ¬{A}{b}) fact2: {A}{a} -> ¬(¬{D}{b} & {A}{b}) fact3: {A}{a} -> ¬(¬{D}{b} & ¬{A}{b}) fact4: {A}{a} -> ¬({D}{b} & ¬{A}{b}) fact5: ¬(¬{D}{b} & {A}{b}) fact6: ({A}{a} & {B}{a}) | [
"fact6 -> int1: ããã®ãŽããŽã«Lv.11ã¯åãªãããšããããšã¯äºå®ã§ãã; int1 & fact3 -> hypothesis;"
] | [
"fact6 -> int1: {A}{a}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœãããã©åãªããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã fact2: ä»®ã«ãã®ãŽããŽã«Lv.11ã¯åãªããªãã°ããã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœããšããããšã¯ãªãäžæ¹ã§ããã¯åãªãããšããããšã¯ééãã fact3: ãã®ãŽããŽã«Lv.11ã¯åãªããšãããšãããã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœããªããŠãŸãããã¯åãªããªãããšããããšã¯èª€ãã§ããããšããããšã¯æãç«ã€ fact4: ããä»®ã«ããã®ãŽããŽã«Lv.11ã¯åãªãããšããããšã¯èª€ãã§ãªããšããã°ããã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœããåãªããªãããšããããšã¯æãç«ããªã fact5: ããã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœããšããããšã¯ãªããåãªãããšããããšã¯æãç«ããªã fact6: ãã®ãŽããŽã«Lv.11ã¯åãªããããã«ã¡ã£ãã ; $hypothesis$ = ãã®ã·ã®ã·ãªLv.63ã¯ç°è²ã£ãœããªããŠåãªããšããããšã¯ãªã ; $proof$ = | fact6 -> int1: ããã®ãŽããŽã«Lv.11ã¯åãªãããšããããšã¯äºå®ã§ãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({D}{b} & ¬{A}{b}) fact2: {A}{a} -> ¬(¬{D}{b} & {A}{b}) fact3: {A}{a} -> ¬(¬{D}{b} & ¬{A}{b}) fact4: {A}{a} -> ¬({D}{b} & ¬{A}{b}) fact5: ¬(¬{D}{b} & {A}{b}) fact6: ({A}{a} & {B}{a}) ; $hypothesis$ = (¬{D}{b} & ¬{A}{b}) ; $proof$ = | fact6 -> int1: {A}{a}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | åããé£ããšããããšãèµ·ãã | {C} | fact1: ã·ã¥ãŒãããããšãèµ·ãã fact2: åæ»ããããšãçºçãã fact3: åæ»ããããšãšã·ã¡ã
ã·ãLv.74äºä»¶äž¡æ¹ãçãã fact4: åããé£ããšããããšã¯çããªããšããããšã¯ã·ã¡ã
ã·ãLv.74äºä»¶ã«é»æ¢ããã fact5: ä»®ã«ãŸããŸã¡ãLv.71äºä»¶ã¯èµ·ããªããªããåæ»ããããšãçããªããŠãã€ã·ã¡ã
ã·ãLv.74äºä»¶ã¯çããªãããšããããšã¯äºå®ãšç°ãªã | fact1: {HC} fact2: {A} fact3: ({A} & {B}) fact4: {B} -> {C} fact5: ¬{D} -> ¬(¬{A} & ¬{B}) | [
"fact3 -> int1: ã·ã¡ã
ã·ãLv.74äºä»¶ãçºçãã; int1 & fact4 -> hypothesis;"
] | [
"fact3 -> int1: {B}; int1 & fact4 -> hypothesis;"
] | åããé£ããšããããšã¯èµ·ããªã | ¬{C} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã·ã¥ãŒãããããšãèµ·ãã fact2: åæ»ããããšãçºçãã fact3: åæ»ããããšãšã·ã¡ã
ã·ãLv.74äºä»¶äž¡æ¹ãçãã fact4: åããé£ããšããããšã¯çããªããšããããšã¯ã·ã¡ã
ã·ãLv.74äºä»¶ã«é»æ¢ããã fact5: ä»®ã«ãŸããŸã¡ãLv.71äºä»¶ã¯èµ·ããªããªããåæ»ããããšãçããªããŠãã€ã·ã¡ã
ã·ãLv.74äºä»¶ã¯çããªãããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = åããé£ããšããããšãèµ·ãã ; $proof$ = | fact3 -> int1: ã·ã¡ã
ã·ãLv.74äºä»¶ãçºçãã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {HC} fact2: {A} fact3: ({A} & {B}) fact4: {B} -> {C} fact5: ¬{D} -> ¬(¬{A} & ¬{B}) ; $hypothesis$ = {C} ; $proof$ = | fact3 -> int1: {B}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.49ã¯èšé²åºæ¥ã | {AA}{b} | fact1: ãããã®ãŽãªãŽãLv.12ãåå¥åãããªããã®ãŽããŽãLv.49ã¯èšé²åºæ¥ããšããããšã¯ãªãäžæ¹ã§åããèŸã fact2: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãåå¥åããã°èšé²åºæ¥ãããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªã fact3: ä»®ã«ãã®ãŽãªãŽãLv.12ãåããèŸããšãããšãã®ãŽããŽãLv.49ã¯åå¥åãããšããããšã¯ãªããã©èšé²åºæ¥ã fact4: ãã®ãŽãªãŽãLv.12ã¯åå¥åãã fact5: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãæ¶åãé£ããšããã°åå¥åãã | fact1: {A}{a} -> (¬{AA}{b} & {AB}{b}) fact2: (x): {A}x -> {AA}x fact3: {AB}{a} -> (¬{A}{b} & {AA}{b}) fact4: {A}{a} fact5: (x): {B}x -> {A}x | [
"fact1 & fact4 -> int1: ãã®ãŽããŽãLv.49ã¯èšé²åºæ¥ãªãããã©åããèŸã; int1 -> hypothesis;"
] | [
"fact1 & fact4 -> int1: (¬{AA}{b} & {AB}{b}); int1 -> hypothesis;"
] | ãã®ãŽããŽãLv.49ã¯èšé²åºæ¥ã | {AA}{b} | [
"fact7 -> int2: ããããã®ãŽããŽãLv.49ãåå¥åãããšãããèšé²åºæ¥ã; fact6 -> int3: ããããã®ãŽããŽãLv.49ãæ¶åãé£ããªãã°ãã®ãŽããŽãLv.49ã¯åå¥åããããšããããšã¯æãç«ã€;"
] | 4 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãŽãªãŽãLv.12ãåå¥åãããªããã®ãŽããŽãLv.49ã¯èšé²åºæ¥ããšããããšã¯ãªãäžæ¹ã§åããèŸã fact2: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãåå¥åããã°èšé²åºæ¥ãããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªã fact3: ä»®ã«ãã®ãŽãªãŽãLv.12ãåããèŸããšãããšãã®ãŽããŽãLv.49ã¯åå¥åãããšããããšã¯ãªããã©èšé²åºæ¥ã fact4: ãã®ãŽãªãŽãLv.12ã¯åå¥åãã fact5: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãæ¶åãé£ããšããã°åå¥åãã ; $hypothesis$ = ãã®ãŽããŽãLv.49ã¯èšé²åºæ¥ã ; $proof$ = | fact1 & fact4 -> int1: ãã®ãŽããŽãLv.49ã¯èšé²åºæ¥ãªãããã©åããèŸã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> (¬{AA}{b} & {AB}{b}) fact2: (x): {A}x -> {AA}x fact3: {AB}{a} -> (¬{A}{b} & {AA}{b}) fact4: {A}{a} fact5: (x): {B}x -> {A}x ; $hypothesis$ = {AA}{b} ; $proof$ = | fact1 & fact4 -> int1: (¬{AA}{b} & {AB}{b}); int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ããã¡ãLv.63ã¯æèã | {C}{a} | fact1: ãã®ãã«ããã¡ãLv.63ã¯çœ¹æ£ãæã fact2: ãã®ãã«ããã¡ãLv.63ã¯ãæããæŽã«çœ¹æ£ãæã | fact1: {B}{a} fact2: ({A}{a} & {B}{a}) | [
"fact2 -> int1: ãã®ãã«ããã¡ãLv.63ã¯ãæã;"
] | [
"fact2 -> int1: {A}{a};"
] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãã«ããã¡ãLv.63ã¯çœ¹æ£ãæã fact2: ãã®ãã«ããã¡ãLv.63ã¯ãæããæŽã«çœ¹æ£ãæã ; $hypothesis$ = ãã®ãã«ããã¡ãLv.63ã¯æèã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} fact2: ({A}{a} & {B}{a}) ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ã·ãã·ãLv.38äºä»¶ãçãã | {B} | fact1: ãå å·¥ããããšãèµ·ããäžæ¹ã§ãœããœã¡ã
Lv.45äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªããšãããã·ãã·ãLv.38äºä»¶ãèµ·ãã fact2: ãã·ãã·ãLv.38äºä»¶ã¯çºçããªãããšããããšã¯ãå å·¥ããããšã¯çããªãããšããããšã«é²ããã fact3: ãã«ãããLv.38äºä»¶ã¯çºçããªããšããããšã¯ãã·ã®ã·ã¡ãLv.16äºä»¶ãçºçããªãããããã¯ãã«ãããLv.38äºä»¶ã¯çããªãããŸãã¯ã©ã¡ããã§ããããšããããšã«èµ·å ãã fact4: æ³£ãäŒãããšã¯èµ·ãããªã fact5: ãã·ã®ã·ã¡ãLv.16äºä»¶ã¯çããªãããšããããšããŸãã¯ãã«ãããLv.38äºä»¶ãèµ·ããªããšããããšã¯ã©ã§ãããšããããšã¯çããªããšããããšã¯å¥æ©ã§ãã fact6: ãœã«ãœãLv.43äºä»¶ãèµ·ãããã©ã§ãããšããããšã¯çºçããªã fact7: ããããã«ãããLv.38äºä»¶ã§ã¯ãªãæ³£ãäŒãããšãçãããšããã°ã·ãã·ãLv.38äºä»¶ã¯çããªã | fact1: ¬({AA} & ¬{AB}) -> {B} fact2: ¬{AA} -> {B} fact3: (¬{G} v ¬{C}) -> ¬{C} fact4: ¬{A} fact5: ¬{H} -> (¬{G} v ¬{C}) fact6: ({I} & ¬{H}) fact7: (¬{C} & {A}) -> ¬{B} | [] | [] | ã·ãã·ãLv.38äºä»¶ã¯èµ·ãããªã | ¬{B} | [
"fact11 -> int1: ã©ã§ãããšããããšã¯çããªã; fact9 & int1 -> int2: ã·ã®ã·ã¡ãLv.16äºä»¶ãèµ·ãããªãããããã¯ãã«ãããLv.38äºä»¶ã¯çºçããªããäž¡æ¹ãšãã§ãã; fact10 & int2 -> int3: ãã«ãããLv.38äºä»¶ã¯çããªã;"
] | 6 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãå å·¥ããããšãèµ·ããäžæ¹ã§ãœããœã¡ã
Lv.45äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªããšãããã·ãã·ãLv.38äºä»¶ãèµ·ãã fact2: ãã·ãã·ãLv.38äºä»¶ã¯çºçããªãããšããããšã¯ãå å·¥ããããšã¯çããªãããšããããšã«é²ããã fact3: ãã«ãããLv.38äºä»¶ã¯çºçããªããšããããšã¯ãã·ã®ã·ã¡ãLv.16äºä»¶ãçºçããªãããããã¯ãã«ãããLv.38äºä»¶ã¯çããªãããŸãã¯ã©ã¡ããã§ããããšããããšã«èµ·å ãã fact4: æ³£ãäŒãããšã¯èµ·ãããªã fact5: ãã·ã®ã·ã¡ãLv.16äºä»¶ã¯çããªãããšããããšããŸãã¯ãã«ãããLv.38äºä»¶ãèµ·ããªããšããããšã¯ã©ã§ãããšããããšã¯çããªããšããããšã¯å¥æ©ã§ãã fact6: ãœã«ãœãLv.43äºä»¶ãèµ·ãããã©ã§ãããšããããšã¯çºçããªã fact7: ããããã«ãããLv.38äºä»¶ã§ã¯ãªãæ³£ãäŒãããšãçãããšããã°ã·ãã·ãLv.38äºä»¶ã¯çããªã ; $hypothesis$ = ã·ãã·ãLv.38äºä»¶ãçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({AA} & ¬{AB}) -> {B} fact2: ¬{AA} -> {B} fact3: (¬{G} v ¬{C}) -> ¬{C} fact4: ¬{A} fact5: ¬{H} -> (¬{G} v ¬{C}) fact6: ({I} & ¬{H}) fact7: (¬{C} & {A}) -> ¬{B} ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããŠãè¯ããšããããšã¯èµ·ããªãããšããããšã¯çå®ã | ¬{C} | fact1: ãæãé£ããšããããšã¯çããªãããšããããšã¯ãããŠãè¯ããšããããšãšèŠåæ£ãããšããããšãèµ·ããããšããããšã«ç¹ãã fact2: èŠåæ£ãããšããããšãçºçãã fact3: ãèŠåæ£ãããšããããšãèµ·ãããæãé£ããšããããšãçºçããããšããããšã¯ããŠãè¯ããšããããšãé²ã fact4: ä»®ã«ãæµ
ããšããããšã¯çºçãããã©çœ°ãããšã¯çããªãããšããããšã¯æãç«ããªããªãã°æãé£ããšããããšã¯èµ·ããªã | fact1: ¬{B} -> ({C} & {A}) fact2: {A} fact3: ({A} & {B}) -> ¬{C} fact4: ¬({E} & ¬{D}) -> ¬{B} | [] | [] | ããŠãè¯ããšããããšãçºçãã | {C} | [] | 7 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãæãé£ããšããããšã¯çããªãããšããããšã¯ãããŠãè¯ããšããããšãšèŠåæ£ãããšããããšãèµ·ããããšããããšã«ç¹ãã fact2: èŠåæ£ãããšããããšãçºçãã fact3: ãèŠåæ£ãããšããããšãèµ·ãããæãé£ããšããããšãçºçããããšããããšã¯ããŠãè¯ããšããããšãé²ã fact4: ä»®ã«ãæµ
ããšããããšã¯çºçãããã©çœ°ãããšã¯çããªãããšããããšã¯æãç«ããªããªãã°æãé£ããšããããšã¯èµ·ããªã ; $hypothesis$ = ãããŠãè¯ããšããããšã¯èµ·ããªãããšããããšã¯çå®ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ({C} & {A}) fact2: {A} fact3: ({A} & {B}) -> ¬{C} fact4: ¬({E} & ¬{D}) -> ¬{B} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽãLv.77ã¯èæã | {C}{b} | fact1: ãã®ãŽããŽãLv.77ã¯ç¡çç¡ã fact2: ãããã®ãŸã¡ããŸãLv.47ãå€ãŸããšãããšãã®ãŽããŽãLv.77ã¯èæã fact3: ãã®ãŽããŽãLv.77ã¯å€ãŸã fact4: ãããããã®ãŸã¡ããŸãLv.47ãèæããªããªãã°ãã®ãŽããŽãLv.77ã¯èæããªãããšããããšã¯æãç«ã€ fact5: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯ã©åããªããšããã°ãæãããããå€ãŸããªãããšããããšã¯åã§ãã fact6: ãã®ãŸã¡ããŸãLv.47ã¯å€ãŸããæãããã | fact1: {E}{b} fact2: {A}{a} -> {C}{b} fact3: {A}{b} fact4: ¬{C}{a} -> ¬{C}{b} fact5: (x): ¬{D}x -> ¬({B}x & ¬{A}x) fact6: ({A}{a} & {B}{a}) | [
"fact6 -> int1: ãã®ãŸã¡ããŸãLv.47ã¯å€ãŸã; int1 & fact2 -> hypothesis;"
] | [
"fact6 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ãŽããŽãLv.77ã¯èæããšããããšã¯ãªã | ¬{C}{b} | [
"fact8 -> int2: ãããã®ãŸã¡ããŸãLv.47ã¯ã©åããªããšããã°ãæããããããããããã¯å€ãŸããªãããšããããšã¯æãç«ããªã;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽããŽãLv.77ã¯ç¡çç¡ã fact2: ãããã®ãŸã¡ããŸãLv.47ãå€ãŸããšãããšãã®ãŽããŽãLv.77ã¯èæã fact3: ãã®ãŽããŽãLv.77ã¯å€ãŸã fact4: ãããããã®ãŸã¡ããŸãLv.47ãèæããªããªãã°ãã®ãŽããŽãLv.77ã¯èæããªãããšããããšã¯æãç«ã€ fact5: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯ã©åããªããšããã°ãæãããããå€ãŸããªãããšããããšã¯åã§ãã fact6: ãã®ãŸã¡ããŸãLv.47ã¯å€ãŸããæãããã ; $hypothesis$ = ãã®ãŽããŽãLv.77ã¯èæã ; $proof$ = | fact6 -> int1: ãã®ãŸã¡ããŸãLv.47ã¯å€ãŸã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {E}{b} fact2: {A}{a} -> {C}{b} fact3: {A}{b} fact4: ¬{C}{a} -> ¬{C}{b} fact5: (x): ¬{D}x -> ¬({B}x & ¬{A}x) fact6: ({A}{a} & {B}{a}) ; $hypothesis$ = {C}{b} ; $proof$ = | fact6 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | 銎æã¿æ·±ããšããããšã¯èµ·ããªã | ¬{D} | fact1: ãããã«ã
Lv.23äºä»¶ãçããããããã¯ã·ã«ãã·ã«Lv.24äºä»¶ãçããããŸãã¯äž¡æ¹ãšãã§ãã fact2: ã·ã«ãã·ã«Lv.24äºä»¶ã¯æ§ãæããšããããšãåŒãèµ·ãã fact3: ãããã«ã
Lv.23äºä»¶ãçãããšããããšã¯æ§ãæããšããããšãçãããšããããšã«åž°çµãã fact4: ããä»®ã«ããããã«ã
Lv.23äºä»¶ãèµ·ãããã·ã«ãã·ã«Lv.24äºä»¶ã¯çããªãããšããããšã¯åœãªãã銎æã¿æ·±ããšããããšã¯çããªãããšããããšã¯æ£ãã fact5: æãæããšããããšã¯ãå¥ããæããšããããšã¯èµ·ãããªãããšããããšãé²ã fact6: æ§ãæããšããããšã¯éŠŽæã¿æ·±ããšããããšãçºçããã fact7: ã¿ãã¿ãLv.94äºä»¶ã¯çãé£ããšããããšã«ç¹ãã | fact1: ({A} v {B}) fact2: {B} -> {C} fact3: {A} -> {C} fact4: ¬({A} & ¬{B}) -> ¬{D} fact5: {CD} -> {DD} fact6: {C} -> {D} fact7: {FR} -> {FN} | [
"fact1 & fact3 & fact2 -> int1: æ§ãæããšããããšãçãã; int1 & fact6 -> hypothesis;"
] | [
"fact1 & fact3 & fact2 -> int1: {C}; int1 & fact6 -> hypothesis;"
] | 銎æã¿æ·±ããšããããšã¯èµ·ããªã | ¬{D} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã«ã
Lv.23äºä»¶ãçããããããã¯ã·ã«ãã·ã«Lv.24äºä»¶ãçããããŸãã¯äž¡æ¹ãšãã§ãã fact2: ã·ã«ãã·ã«Lv.24äºä»¶ã¯æ§ãæããšããããšãåŒãèµ·ãã fact3: ãããã«ã
Lv.23äºä»¶ãçãããšããããšã¯æ§ãæããšããããšãçãããšããããšã«åž°çµãã fact4: ããä»®ã«ããããã«ã
Lv.23äºä»¶ãèµ·ãããã·ã«ãã·ã«Lv.24äºä»¶ã¯çããªãããšããããšã¯åœãªãã銎æã¿æ·±ããšããããšã¯çããªãããšããããšã¯æ£ãã fact5: æãæããšããããšã¯ãå¥ããæããšããããšã¯èµ·ãããªãããšããããšãé²ã fact6: æ§ãæããšããããšã¯éŠŽæã¿æ·±ããšããããšãçºçããã fact7: ã¿ãã¿ãLv.94äºä»¶ã¯çãé£ããšããããšã«ç¹ãã ; $hypothesis$ = 銎æã¿æ·±ããšããããšã¯èµ·ããªã ; $proof$ = | fact1 & fact3 & fact2 -> int1: æ§ãæããšããããšãçãã; int1 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} v {B}) fact2: {B} -> {C} fact3: {A} -> {C} fact4: ¬({A} & ¬{B}) -> ¬{D} fact5: {CD} -> {DD} fact6: {C} -> {D} fact7: {FR} -> {FN} ; $hypothesis$ = ¬{D} ; $proof$ = | fact1 & fact3 & fact2 -> int1: {C}; int1 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããªããLv.0ã¯ããããŸãã | {A}{a} | fact1: ããã®ããªããLv.0ã¯éåããããšããããšã¯æ£ãã fact2: ãããããã¢ã³ã¹ã¿ãŒã¯ããããŸããããšããããšã¯æãç«ã€ fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èª¬æãé£ã | fact1: {AO}{a} fact2: (x): {A}x fact3: (x): {AM}x | [
"fact2 -> int1: ãããããã¢ã³ã¹ã¿ãŒã¯ããããŸããããšããããšã¯æãç«ã€; int1 -> hypothesis;"
] | [
"fact2 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ããªããLv.0ã¯éåããããšããããšã¯æ£ãã fact2: ãããããã¢ã³ã¹ã¿ãŒã¯ããããŸããããšããããšã¯æãç«ã€ fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èª¬æãé£ã ; $hypothesis$ = ãã®ããªããLv.0ã¯ããããŸãã ; $proof$ = | fact2 -> int1: ãããããã¢ã³ã¹ã¿ãŒã¯ããããŸããããšããããšã¯æãç«ã€; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: {AO}{a} fact2: (x): {A}x fact3: (x): {AM}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact2 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã¡ã
ã·ãLv.67ã¯èŠåãé£ããªã | ¬{C}{aa} | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èªç¶ããããªãããã®äžæ§åããããšããããšã¯ãªã fact2: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.67ã¯èªç¶ãããããã©æ§åããããªããšãããšèŠåãé£ããªã fact3: ãã®ã·ã¡ã
ã·ãLv.67ãèªç¶ããããªãããã®äžãããæ§åããããªããªãã°ãã®ã·ã¡ã
ã·ãLv.67ã¯èŠåãé£ããªã fact4: ãããšããã¢ã³ã¹ã¿ãŒãæ§åããããªãã°èªç¶ããããªã fact5: ãã®ã¿ãã¿ã«ãLv.51ã¯åããŸãããªããå ããŠèŠåãé£ããªã | fact1: (x): (¬{A}x & ¬{B}x) fact2: ({A}{aa} & ¬{B}{aa}) -> ¬{C}{aa} fact3: (¬{A}{aa} & ¬{B}{aa}) -> ¬{C}{aa} fact4: (x): {B}x -> ¬{A}x fact5: (¬{HQ}{s} & ¬{C}{s}) | [
"fact1 -> int1: ãã®ã·ã¡ã
ã·ãLv.67ã¯èªç¶ããããšããããšã¯ãªããæ§åããããªã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: (¬{A}{aa} & ¬{B}{aa}); int1 & fact3 -> hypothesis;"
] | å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯èã
ãããªããæãããªã | (x): (¬{DP}x & ¬{U}x) | [
"fact6 -> int2: ãã®ãŽããŽã«ãLv.3ãæ§åããããšããã°ãã®ãŽããŽã«ãLv.3ã¯èªç¶ããããªã;"
] | 5 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èªç¶ããããªãããã®äžæ§åããããšããããšã¯ãªã fact2: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.67ã¯èªç¶ãããããã©æ§åããããªããšãããšèŠåãé£ããªã fact3: ãã®ã·ã¡ã
ã·ãLv.67ãèªç¶ããããªãããã®äžãããæ§åããããªããªãã°ãã®ã·ã¡ã
ã·ãLv.67ã¯èŠåãé£ããªã fact4: ãããšããã¢ã³ã¹ã¿ãŒãæ§åããããªãã°èªç¶ããããªã fact5: ãã®ã¿ãã¿ã«ãLv.51ã¯åããŸãããªããå ããŠèŠåãé£ããªã ; $hypothesis$ = ãã®ã·ã¡ã
ã·ãLv.67ã¯èŠåãé£ããªã ; $proof$ = | fact1 -> int1: ãã®ã·ã¡ã
ã·ãLv.67ã¯èªç¶ããããšããããšã¯ãªããæ§åããããªã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): (¬{A}x & ¬{B}x) fact2: ({A}{aa} & ¬{B}{aa}) -> ¬{C}{aa} fact3: (¬{A}{aa} & ¬{B}{aa}) -> ¬{C}{aa} fact4: (x): {B}x -> ¬{A}x fact5: (¬{HQ}{s} & ¬{C}{s}) ; $hypothesis$ = ¬{C}{aa} ; $proof$ = | fact1 -> int1: (¬{A}{aa} & ¬{B}{aa}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | 飜ãã£ãœããšããããšã¯çºçããªã | ¬{C} | fact1: 飜ãã£ãœããšããããšã¯çºçããªããšããããšã¯ãŽã®ãŽã¡ãLv.59äºä»¶ããããã¯æãé£ããšããããšã¯çºçããªããšããããšã«ç±æ¥ãã fact2: æãé£ããšããããšã¯èµ·ãããªã | fact1: ({A} v ¬{B}) -> ¬{C} fact2: ¬{B} | [
"fact2 -> int1: ãŽã®ãŽã¡ãLv.59äºä»¶ãèµ·ããããããã¯æãé£ããšããããšã¯çããªãããããã¯äž¡æ¹ãšãã§ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: ({A} v ¬{B}); int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: 飜ãã£ãœããšããããšã¯çºçããªããšããããšã¯ãŽã®ãŽã¡ãLv.59äºä»¶ããããã¯æãé£ããšããããšã¯çºçããªããšããããšã«ç±æ¥ãã fact2: æãé£ããšããããšã¯èµ·ãããªã ; $hypothesis$ = 飜ãã£ãœããšããããšã¯çºçããªã ; $proof$ = | fact2 -> int1: ãŽã®ãŽã¡ãLv.59äºä»¶ãèµ·ããããããã¯æãé£ããšããããšã¯çããªãããããã¯äž¡æ¹ãšãã§ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} v ¬{B}) -> ¬{C} fact2: ¬{B} ; $hypothesis$ = ¬{C} ; $proof$ = | fact2 -> int1: ({A} v ¬{B}); int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ä¿ã£ãœããšããããšãçãã | {C} | fact1: ã·ãã·ãLv.57äºä»¶ãçºçãã fact2: ä»®ã«ã確èªãé£ããšããããšã¯èµ·ããªãããšããããšã¯æ£ãããªãããŸã«ããŸãªLv.72äºä»¶ããã³ä¿ã£ãœããšããããšäž¡æ¹ãšããçºçããããšããããšã¯çå®ã§ãªã fact3: é»ããšããããšãçãã fact4: ä¿ã£ãœããšããããšã¯ã·ãã·ãLv.57äºä»¶ããã³é»ããšããããšãèµ·ããã«é»æ¢ããã fact5: é»ããšããããšã¯èµ·ããªããšãããä»çœããšããããšãçºçãããããã«ã·ãã·ãLv.57äºä»¶ãèµ·ãã | fact1: {A} fact2: ¬{E} -> ¬({D} & {C}) fact3: {B} fact4: ({A} & {B}) -> ¬{C} fact5: ¬{B} -> ({IS} & {A}) | [
"fact1 & fact3 -> int1: ã·ãã·ãLv.57äºä»¶ããã³é»ããšããããšãèµ·ãã; int1 & fact4 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: ({A} & {B}); int1 & fact4 -> hypothesis;"
] | ä»çœããšããããšãèµ·ãã | {IS} | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã·ãã·ãLv.57äºä»¶ãçºçãã fact2: ä»®ã«ã確èªãé£ããšããããšã¯èµ·ããªãããšããããšã¯æ£ãããªãããŸã«ããŸãªLv.72äºä»¶ããã³ä¿ã£ãœããšããããšäž¡æ¹ãšããçºçããããšããããšã¯çå®ã§ãªã fact3: é»ããšããããšãçãã fact4: ä¿ã£ãœããšããããšã¯ã·ãã·ãLv.57äºä»¶ããã³é»ããšããããšãèµ·ããã«é»æ¢ããã fact5: é»ããšããããšã¯èµ·ããªããšãããä»çœããšããããšãçºçãããããã«ã·ãã·ãLv.57äºä»¶ãèµ·ãã ; $hypothesis$ = ä¿ã£ãœããšããããšãçãã ; $proof$ = | fact1 & fact3 -> int1: ã·ãã·ãLv.57äºä»¶ããã³é»ããšããããšãèµ·ãã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: ¬{E} -> ¬({D} & {C}) fact3: {B} fact4: ({A} & {B}) -> ¬{C} fact5: ¬{B} -> ({IS} & {A}) ; $hypothesis$ = {C} ; $proof$ = | fact1 & fact3 -> int1: ({A} & {B}); int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ãLv.60ã¯ããããšãªããªã | ¬{A}{b} | fact1: çŽ æ©ãã¢ã³ã¹ã¿ãŒã¯åšããã fact2: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯äžãéããªããããã«ããããããªããšããã°ããã¯ããããšãªããªã fact3: ä»®ã«ãã®ã·ãã·ãLv.60ãããããããšããããã®ã·ãã·ãLv.60ã¯ããããšãªã fact4: ããã¢ã³ã¹ã¿ãŒãç®æããªããªãäžãéããªããŠæŽã«ããããããªã fact5: ããä»®ã«ããã®ãŸãªãŸã¡ã
Lv.60ã¯æµäžæ·±ãããããæŽã¿æããªãããšããããšã¯åœãªããã®ã·ãã·ãLv.60ã¯ããããã fact6: ããä»®ã«ããã®ãŸãªãŸã¡ã
Lv.60ã¯ããããšãªãããšããããšã¯ç¢ºãã§ãããšããããã®ã·ãã·ãLv.60ã¯æŽã¿æã fact7: ããã®ãŸãªãŸã¡ã
Lv.60ã¯æµäžæ·±ãããã©æŽã¿æããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã fact8: ãã®ãŸãªãŸã¡ã
Lv.60ãåŸãæããšããã°ãã®ã·ãã·ãLv.60ã¯ç®æããªã | fact1: (x): {AK}x -> {U}x fact2: (x): (¬{C}x & ¬{B}x) -> ¬{A}x fact3: {B}{b} -> {A}{b} fact4: (x): ¬{D}x -> (¬{C}x & ¬{B}x) fact5: ¬({AA}{a} & ¬{AB}{a}) -> {B}{b} fact6: {A}{a} -> {AB}{b} fact7: ¬({AA}{a} & ¬{AB}{a}) fact8: {E}{a} -> ¬{D}{b} | [
"fact5 & fact7 -> int1: ããã®ã·ãã·ãLv.60ã¯ãããããããšããããšã¯æãç«ã€; int1 & fact3 -> hypothesis;"
] | [
"fact5 & fact7 -> int1: {B}{b}; int1 & fact3 -> hypothesis;"
] | ãã®ã·ãã·ãLv.60ã¯ããããšãªããªã | ¬{A}{b} | [
"fact9 -> int2: ããããã®ã·ãã·ãLv.60ã¯äžãéããªãããããããããããªããªãã°ãããããšãªããšããããšã¯ãªãããšããããšã¯æ¬åœã ; fact10 -> int3: ããããã®ã·ãã·ãLv.60ãç®æããªããªãããã¯äžãéããªãããã€ããããããªã;"
] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: çŽ æ©ãã¢ã³ã¹ã¿ãŒã¯åšããã fact2: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯äžãéããªããããã«ããããããªããšããã°ããã¯ããããšãªããªã fact3: ä»®ã«ãã®ã·ãã·ãLv.60ãããããããšããããã®ã·ãã·ãLv.60ã¯ããããšãªã fact4: ããã¢ã³ã¹ã¿ãŒãç®æããªããªãäžãéããªããŠæŽã«ããããããªã fact5: ããä»®ã«ããã®ãŸãªãŸã¡ã
Lv.60ã¯æµäžæ·±ãããããæŽã¿æããªãããšããããšã¯åœãªããã®ã·ãã·ãLv.60ã¯ããããã fact6: ããä»®ã«ããã®ãŸãªãŸã¡ã
Lv.60ã¯ããããšãªãããšããããšã¯ç¢ºãã§ãããšããããã®ã·ãã·ãLv.60ã¯æŽã¿æã fact7: ããã®ãŸãªãŸã¡ã
Lv.60ã¯æµäžæ·±ãããã©æŽã¿æããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã fact8: ãã®ãŸãªãŸã¡ã
Lv.60ãåŸãæããšããã°ãã®ã·ãã·ãLv.60ã¯ç®æããªã ; $hypothesis$ = ãã®ã·ãã·ãLv.60ã¯ããããšãªããªã ; $proof$ = | fact5 & fact7 -> int1: ããã®ã·ãã·ãLv.60ã¯ãããããããšããããšã¯æãç«ã€; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {AK}x -> {U}x fact2: (x): (¬{C}x & ¬{B}x) -> ¬{A}x fact3: {B}{b} -> {A}{b} fact4: (x): ¬{D}x -> (¬{C}x & ¬{B}x) fact5: ¬({AA}{a} & ¬{AB}{a}) -> {B}{b} fact6: {A}{a} -> {AB}{b} fact7: ¬({AA}{a} & ¬{AB}{a}) fact8: {E}{a} -> ¬{D}{b} ; $hypothesis$ = ¬{A}{b} ; $proof$ = | fact5 & fact7 -> int1: {B}{b}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ã¿ã¡ã
ã¿ã®Lv.25äºä»¶ãšã¿ãã¿ãLv.39äºä»¶äž¡æ¹ãçãã | ({B} & {C}) | fact1: ããä»®ã«æãããšããããšã¯èµ·ããªããªããã¿ã¡ã
ã¿ã®Lv.25äºä»¶ãèµ·ãããããã«ã¿ãã¿ãLv.39äºä»¶ãçããããšããããšã¯åœã§ãã fact2: ããä»®ã«åŽ©ãæããšããããšã¯çºçããªããªãã匷éããããšãšã¿ãã¿ãLv.51äºä»¶ã©ã¡ãããèµ·ããããšããããšã¯æ£ãããšããããšã¯ãªã fact3: ã¿ãã¿ãLv.39äºä»¶ãçºçãã fact4: ããã匷éããããšãèµ·ãããã¿ãã¿ãLv.51äºä»¶ãçºçããããšããããšã¯çå®ã§ãªããšããã°æãããšããããšã¯çããªã fact5: ã匷éããããšã¯èµ·ããªãããšããããšã¯ãã¿ãã¿ãLv.39äºä»¶ã¯èµ·ããªãããã©ã¿ãã¿ãLv.51äºä»¶ã¯çºçããããšããããšãçºçããã fact6: æãããšããããšãèµ·ãã fact7: æãããšããããšã¯ã¿ã¡ã
ã¿ã®Lv.25äºä»¶ã¯èµ·ãããªããšããããšãé»æ¢ãã | fact1: ¬{A} -> ¬({B} & {C}) fact2: ¬{F} -> ¬({E} & {D}) fact3: {C} fact4: ¬({E} & {D}) -> ¬{A} fact5: ¬{E} -> (¬{C} & {D}) fact6: {A} fact7: {A} -> {B} | [
"fact7 & fact6 -> int1: ã¿ã¡ã
ã¿ã®Lv.25äºä»¶ãèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact7 & fact6 -> int1: {B}; int1 & fact3 -> hypothesis;"
] | ãŸã«ããŸãLv.21äºä»¶ãçãã | {BG} | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«æãããšããããšã¯èµ·ããªããªããã¿ã¡ã
ã¿ã®Lv.25äºä»¶ãèµ·ãããããã«ã¿ãã¿ãLv.39äºä»¶ãçããããšããããšã¯åœã§ãã fact2: ããä»®ã«åŽ©ãæããšããããšã¯çºçããªããªãã匷éããããšãšã¿ãã¿ãLv.51äºä»¶ã©ã¡ãããèµ·ããããšããããšã¯æ£ãããšããããšã¯ãªã fact3: ã¿ãã¿ãLv.39äºä»¶ãçºçãã fact4: ããã匷éããããšãèµ·ãããã¿ãã¿ãLv.51äºä»¶ãçºçããããšããããšã¯çå®ã§ãªããšããã°æãããšããããšã¯çããªã fact5: ã匷éããããšã¯èµ·ããªãããšããããšã¯ãã¿ãã¿ãLv.39äºä»¶ã¯èµ·ããªãããã©ã¿ãã¿ãLv.51äºä»¶ã¯çºçããããšããããšãçºçããã fact6: æãããšããããšãèµ·ãã fact7: æãããšããããšã¯ã¿ã¡ã
ã¿ã®Lv.25äºä»¶ã¯èµ·ãããªããšããããšãé»æ¢ãã ; $hypothesis$ = ã¿ã¡ã
ã¿ã®Lv.25äºä»¶ãšã¿ãã¿ãLv.39äºä»¶äž¡æ¹ãçãã ; $proof$ = | fact7 & fact6 -> int1: ã¿ã¡ã
ã¿ã®Lv.25äºä»¶ãèµ·ãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A} -> ¬({B} & {C}) fact2: ¬{F} -> ¬({E} & {D}) fact3: {C} fact4: ¬({E} & {D}) -> ¬{A} fact5: ¬{E} -> (¬{C} & {D}) fact6: {A} fact7: {A} -> {B} ; $hypothesis$ = ({B} & {C}) ; $proof$ = | fact7 & fact6 -> int1: {B}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãã·ãLv.92ã¯ä¹
ãããªã | ¬{C}{a} | fact1: ãã®ã·ãã·ãLv.92ã¯å¬ããããããã«ç€Œåæ£ãã | fact1: ({A}{a} & {B}{a}) | [
"fact1 -> int1: ãã®ã·ãã·ãLv.92ã¯ç€Œåæ£ãã;"
] | [
"fact1 -> int1: {B}{a};"
] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ãã·ãLv.92ã¯å¬ããããããã«ç€Œåæ£ãã ; $hypothesis$ = ãã®ã·ãã·ãLv.92ã¯ä¹
ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬{C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã¡ããŽãLv.81ã¯èšŒæåºæ¥ã | {AA}{a} | fact1: ãã®ãŽã¡ããŽãLv.81ã¯çŽ«å€ç·ç
§å°ããªã fact2: ãã®ãŽã¡ããŽãLv.81ã¯æ±ãé£ã fact3: ãããã®ãŽã¡ããŽãLv.81ã玫å€ç·ç
§å°ããªããšãããšèšŒæåºæ¥ãããŸãããã¯æ±ãé£ã fact4: ãã®ãŽã¡ããŽãLv.81ã¯åããŸãã fact5: ãããã®ãŽã¡ããŽãLv.85ãçŠãèããªããªãã°ãã®ãŽã¡ããŽãLv.85ã¯çŽ«å€ç·ç
§å°ãããæŽã«è²§ãã | fact1: ¬{A}{a} fact2: {AB}{a} fact3: ¬{A}{a} -> ({AA}{a} & {AB}{a}) fact4: {AL}{a} fact5: ¬{BI}{dt} -> ({A}{dt} & {IG}{dt}) | [
"fact3 & fact1 -> int1: ãã®ãŽã¡ããŽãLv.81ã¯èšŒæåºæ¥ããæ±ãé£ã; int1 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: ({AA}{a} & {AB}{a}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽã¡ããŽãLv.81ã¯çŽ«å€ç·ç
§å°ããªã fact2: ãã®ãŽã¡ããŽãLv.81ã¯æ±ãé£ã fact3: ãããã®ãŽã¡ããŽãLv.81ã玫å€ç·ç
§å°ããªããšãããšèšŒæåºæ¥ãããŸãããã¯æ±ãé£ã fact4: ãã®ãŽã¡ããŽãLv.81ã¯åããŸãã fact5: ãããã®ãŽã¡ããŽãLv.85ãçŠãèããªããªãã°ãã®ãŽã¡ããŽãLv.85ã¯çŽ«å€ç·ç
§å°ãããæŽã«è²§ãã ; $hypothesis$ = ãã®ãŽã¡ããŽãLv.81ã¯èšŒæåºæ¥ã ; $proof$ = | fact3 & fact1 -> int1: ãã®ãŽã¡ããŽãLv.81ã¯èšŒæåºæ¥ããæ±ãé£ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} fact2: {AB}{a} fact3: ¬{A}{a} -> ({AA}{a} & {AB}{a}) fact4: {AL}{a} fact5: ¬{BI}{dt} -> ({A}{dt} & {IG}{dt}) ; $hypothesis$ = {AA}{a} ; $proof$ = | fact3 & fact1 -> int1: ({AA}{a} & {AB}{a}); int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœãLv.80ã¯æãé£ã | {A}{a} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯æãé£ã | fact1: (x): {A}x | [
"fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯æãé£ã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯æãé£ã ; $hypothesis$ = ãã®ãœããœãLv.80ã¯æãé£ã ; $proof$ = | fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯æãé£ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ã¿ã®ã¿ãLv.48äºä»¶ãèµ·ãã | {B} | fact1: ã¿ãã¿ã®Lv.26äºä»¶ãã¿ã®ã¿ãLv.48äºä»¶ã¯èµ·ããªããšããããšãé²ã | fact1: {A} -> {B} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ã¿ãã¿ã®Lv.26äºä»¶ãã¿ã®ã¿ãLv.48äºä»¶ã¯èµ·ããªããšããããšãé²ã ; $hypothesis$ = ã¿ã®ã¿ãLv.48äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {B} ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ããé¢ç®ç¡ããªããè¿·ãæãããšããããšã¯æãç«ããªããšããã°å®ããªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬(¬{AA}x & {AB}x) -> ¬{B}x | fact1: ããããããã¢ã³ã¹ã¿ãŒã¯é¢ç®ç¡ããŠè¿·ãæãããšããããšã¯æ¬åœã§ãªããšããã°ããã¯å®ããªã fact2: ããšããã¢ã³ã¹ã¿ãŒã¯é¢ç®ç¡ããªããã©è¿·ãæãããšããããšã¯ééãã ãšãããå®ã | fact1: (x): ¬({AA}x & {AB}x) -> ¬{B}x fact2: (x): ¬(¬{AA}x & {AB}x) -> {B}x | [] | [] | null | null | [] | null | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããããã¢ã³ã¹ã¿ãŒã¯é¢ç®ç¡ããŠè¿·ãæãããšããããšã¯æ¬åœã§ãªããšããã°ããã¯å®ããªã fact2: ããšããã¢ã³ã¹ã¿ãŒã¯é¢ç®ç¡ããªããã©è¿·ãæãããšããããšã¯ééãã ãšãããå®ã ; $hypothesis$ = ããé¢ç®ç¡ããªããè¿·ãæãããšããããšã¯æãç«ããªããšããã°å®ããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬({AA}x & {AB}x) -> ¬{B}x fact2: (x): ¬(¬{AA}x & {AB}x) -> {B}x ; $hypothesis$ = (Ex): ¬(¬{AA}x & {AB}x) -> ¬{B}x ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã¡ãLv.11äºä»¶ã¯èµ·ããªã | ¬{C} | fact1: ã¿ã«ã¿ã®Lv.26äºä»¶ãèµ·ãã fact2: ãã·ãã·ã¡ã
Lv.13äºä»¶ãèµ·ããããšããããšã¯æ£ãã fact3: 蚌æãããšãçºçãã | fact1: {B} fact2: {FH} fact3: {A} | [
"fact3 & fact1 -> int1: 蚌æãããšãèµ·ãããã¿ã«ã¿ã®Lv.26äºä»¶ãçºçãã;"
] | [
"fact3 & fact1 -> int1: ({A} & {B});"
] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ã¿ã«ã¿ã®Lv.26äºä»¶ãèµ·ãã fact2: ãã·ãã·ã¡ã
Lv.13äºä»¶ãèµ·ããããšããããšã¯æ£ãã fact3: 蚌æãããšãçºçãã ; $hypothesis$ = ãããã¡ãLv.11äºä»¶ã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} fact2: {FH} fact3: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŽã®ãŽãLv.18äºä»¶ãèµ·ãã | {AA} | fact1: ä»®ã«ãŽããŽãLv.45äºä»¶ãçºçãããªããŽã®ãŽãLv.18äºä»¶ã¯çããªããŠä¿¡ä»°æ·±ããšããããšã¯èµ·ããªã fact2: ãŽããŽãLv.45äºä»¶ãèµ·ãã fact3: ãã®ããLv.42äºä»¶ã¯èµ·ããªã fact4: ããœãªãœã«ãLv.36äºä»¶ãçºçããããšããããšã¯æãç«ã€ãªãå©ãçŽãããšãçããªããŠãã®äžèªå®åºæ¥ãããšã¯çããªã fact5: æžãé£ããšããããšã¯èµ·ãããªã | fact1: {A} -> (¬{AA} & ¬{AB}) fact2: {A} fact3: ¬{EJ} fact4: {HA} -> (¬{JJ} & ¬{BT}) fact5: ¬{DC} | [
"fact1 & fact2 -> int1: ãŽã®ãŽãLv.18äºä»¶ã¯çºçããªããŠä¿¡ä»°æ·±ããšããããšã¯èµ·ãããªã; int1 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: (¬{AA} & ¬{AB}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãŽããŽãLv.45äºä»¶ãçºçãããªããŽã®ãŽãLv.18äºä»¶ã¯çããªããŠä¿¡ä»°æ·±ããšããããšã¯èµ·ããªã fact2: ãŽããŽãLv.45äºä»¶ãèµ·ãã fact3: ãã®ããLv.42äºä»¶ã¯èµ·ããªã fact4: ããœãªãœã«ãLv.36äºä»¶ãçºçããããšããããšã¯æãç«ã€ãªãå©ãçŽãããšãçããªããŠãã®äžèªå®åºæ¥ãããšã¯çããªã fact5: æžãé£ããšããããšã¯èµ·ãããªã ; $hypothesis$ = ãŽã®ãŽãLv.18äºä»¶ãèµ·ãã ; $proof$ = | fact1 & fact2 -> int1: ãŽã®ãŽãLv.18äºä»¶ã¯çºçããªããŠä¿¡ä»°æ·±ããšããããšã¯èµ·ãããªã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> (¬{AA} & ¬{AB}) fact2: {A} fact3: ¬{EJ} fact4: {HA} -> (¬{JJ} & ¬{BT}) fact5: ¬{DC} ; $hypothesis$ = {AA} ; $proof$ = | fact1 & fact2 -> int1: (¬{AA} & ¬{AB}); int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã®ãŽã«ãLv.61ã¯åŸ¡æªããªã | ¬{A}{a} | fact1: ãããã®ãœã¡ããœãLv.42ã¯äŒžã³æãããã®äžæã¡äžããæããªãã°ããã®ãŽã®ãŽã«ãLv.61ã¯åŸ¡æªãããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ã¿ãã¿ãLv.4ã¯åŸ¡æªã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æžã | fact1: ({B}{b} & {C}{b}) -> ¬{A}{a} fact2: {A}{af} fact3: (x): {FS}x | [] | [] | ãã®ãŽã®ãŽã«ãLv.61ã¯åŸ¡æªããªã | ¬{A}{a} | [] | 5 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ãœã¡ããœãLv.42ã¯äŒžã³æãããã®äžæã¡äžããæããªãã°ããã®ãŽã®ãŽã«ãLv.61ã¯åŸ¡æªãããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ã¿ãã¿ãLv.4ã¯åŸ¡æªã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æžã ; $hypothesis$ = ãã®ãŽã®ãŽã«ãLv.61ã¯åŸ¡æªããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({B}{b} & {C}{b}) -> ¬{A}{a} fact2: {A}{af} fact3: (x): {FS}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸã«ããŸã«ã
Lv.57ã¯åœ±é¿ããæããªãããšããããšã¯äºå®ã | ¬{C}{b} | fact1: ãã®ããããLv.80ã¯å£åãã fact2: ä»®ã«ãã®ããããLv.80ã¯ãã¡ã£ãããšãããšããã®ãŸã«ããŸã«ã
Lv.57ã¯å£åããªããŠå ããŠçµ¶ãéç¡ããªãããšããããšã¯æ¬åœã§ãªã fact3: ãã®ããããLv.80ã¯çµ¶ãéç¡ããŠããã«å£åãã fact4: ä»®ã«ãããšããã¢ã³ã¹ã¿ãŒã¯å£åããªããŠçµ¶ãéç¡ããšããããšã¯ãªãããšããããšã¯æãç«ã€ããšããããšã¯ééããªãã°ããã¯åœ±é¿ããæããªã | fact1: {B}{a} fact2: {D}{a} -> ¬(¬{B}{b} & ¬{A}{b}) fact3: ({A}{a} & {B}{a}) fact4: (x): ¬(¬{B}x & ¬{A}x) -> ¬{C}x | [
"fact3 -> int1: ãã®ããããLv.80ã¯çµ¶ãéç¡ã;"
] | [
"fact3 -> int1: {A}{a};"
] | ããã®ãŸã«ããŸã«ã
Lv.57ã¯åœ±é¿ããæããªãããšããããšã¯äºå®ã | ¬{C}{b} | [
"fact5 -> int2: ããä»®ã«ããã®ãŸã«ããŸã«ã
Lv.57ã¯å£åããªãã絶ãéç¡ããªãããšããããšã¯æãç«ããªããªãããã¯åœ±é¿ããæããªã;"
] | 5 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ããããLv.80ã¯å£åãã fact2: ä»®ã«ãã®ããããLv.80ã¯ãã¡ã£ãããšãããšããã®ãŸã«ããŸã«ã
Lv.57ã¯å£åããªããŠå ããŠçµ¶ãéç¡ããªãããšããããšã¯æ¬åœã§ãªã fact3: ãã®ããããLv.80ã¯çµ¶ãéç¡ããŠããã«å£åãã fact4: ä»®ã«ãããšããã¢ã³ã¹ã¿ãŒã¯å£åããªããŠçµ¶ãéç¡ããšããããšã¯ãªãããšããããšã¯æãç«ã€ããšããããšã¯ééããªãã°ããã¯åœ±é¿ããæããªã ; $hypothesis$ = ããã®ãŸã«ããŸã«ã
Lv.57ã¯åœ±é¿ããæããªãããšããããšã¯äºå®ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} fact2: {D}{a} -> ¬(¬{B}{b} & ¬{A}{b}) fact3: ({A}{a} & {B}{a}) fact4: (x): ¬(¬{B}x & ¬{A}x) -> ¬{C}x ; $hypothesis$ = ¬{C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã«ããã«ãLv.95ã¯èª¿æŽãã | {B}{a} | fact1: ãã®ãã«ããã«ãLv.95ã¯ä¿¡ä»°æ·±ã fact2: ããããã®ãã«ããã«ãLv.95ãä¿¡ä»°æ·±ããªããã®ãã«ããã«ãLv.95ã¯èª¿æŽãã | fact1: {A}{a} fact2: {A}{a} -> {B}{a} | [
"fact1 -> int1: ãã®ãã«ããã«ãLv.95ã¯ä¿¡ä»°æ·±ã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãã«ããã«ãLv.95ã¯ä¿¡ä»°æ·±ã fact2: ããããã®ãã«ããã«ãLv.95ãä¿¡ä»°æ·±ããªããã®ãã«ããã«ãLv.95ã¯èª¿æŽãã ; $hypothesis$ = ãã®ãã«ããã«ãLv.95ã¯èª¿æŽãã ; $proof$ = | fact1 -> int1: ãã®ãã«ããã«ãLv.95ã¯ä¿¡ä»°æ·±ã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {B}{a} ; $hypothesis$ = {B}{a} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | æ°é£ãããšããããšã¯èµ·ãããªã | ¬{C} | fact1: æ°é£ãããšããããšã¯å±ãªã£ããããšããããšã«èªçºããã fact2: å±ãªã£ããããšããããšããã³ã·ãã·ã¡ãLv.93äºä»¶äž¡æ¹ãšããèµ·ãã | fact1: {A} -> {C} fact2: ({A} & {B}) | [
"fact2 -> int1: å±ãªã£ããããšããããšãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: æ°é£ãããšããããšã¯å±ãªã£ããããšããããšã«èªçºããã fact2: å±ãªã£ããããšããããšããã³ã·ãã·ã¡ãLv.93äºä»¶äž¡æ¹ãšããèµ·ãã ; $hypothesis$ = æ°é£ãããšããããšã¯èµ·ãããªã ; $proof$ = | fact2 -> int1: å±ãªã£ããããšããããšãèµ·ãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {C} fact2: ({A} & {B}) ; $hypothesis$ = ¬{C} ; $proof$ = | fact2 -> int1: {A}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŸããŸã¡ã
Lv.18ã¯äº€ããåãããšããããšã¯çå®ã | {C}{b} | fact1: ãã®ã¿ãã¿ãLv.43ã¯çŸšã fact2: ãã®ã¿ãã¿ãLv.43ã矚ããå ããŠè©±ãæããªãã°ãã®ãŸããŸã¡ã
Lv.18ã¯äº€ããåããªã fact3: ãããä»®ã«ããã¢ã³ã¹ã¿ãŒã亀ããåããªãããã¯çŸšãŸãªããããã話ãæãããšããããšã¯åã§ãªã fact4: ãã®ã¿ãã¿ãLv.43ã¯è©±ãæã | fact1: {A}{a} fact2: ({A}{a} & {B}{a}) -> ¬{C}{b} fact3: (x): {C}x -> (¬{A}x & {B}x) fact4: {B}{a} | [
"fact1 & fact4 -> int1: ãã®ã¿ãã¿ãLv.43ã¯çŸšããæŽã«è©±ãæã; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact4 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> hypothesis;"
] | ãã®ãœããœã«Lv.42ã¯çŸšãŸãªã | ¬{A}{dt} | [
"fact5 -> int2: ãããã®ãœããœã«Lv.42ã亀ããåããšããã°ãã®ãœããœã«Lv.42ã¯çŸšãŸãªãããã©è©±ãæã;"
] | 4 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ãã¿ãLv.43ã¯çŸšã fact2: ãã®ã¿ãã¿ãLv.43ã矚ããå ããŠè©±ãæããªãã°ãã®ãŸããŸã¡ã
Lv.18ã¯äº€ããåããªã fact3: ãããä»®ã«ããã¢ã³ã¹ã¿ãŒã亀ããåããªãããã¯çŸšãŸãªããããã話ãæãããšããããšã¯åã§ãªã fact4: ãã®ã¿ãã¿ãLv.43ã¯è©±ãæã ; $hypothesis$ = ããã®ãŸããŸã¡ã
Lv.18ã¯äº€ããåãããšããããšã¯çå®ã ; $proof$ = | fact1 & fact4 -> int1: ãã®ã¿ãã¿ãLv.43ã¯çŸšããæŽã«è©±ãæã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: ({A}{a} & {B}{a}) -> ¬{C}{b} fact3: (x): {C}x -> (¬{A}x & {B}x) fact4: {B}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 & fact4 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã¡ã
ã¿ãLv.9ã¯æ¯é
ãç¶ããããããã¯ã³ã£ãããããšããããšã¯ãªã | ({B}{a} v ¬{C}{a}) | fact1: ãã®ãŽããŽãLv.21ã¯è¡ãããããããã¯ããã¯çã fact2: ãã®ã¿ã¡ã
ã¿ãLv.9ã¯æãåã | fact1: ({EU}{fq} v {CL}{fq}) fact2: {A}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŽããŽãLv.21ã¯è¡ãããããããã¯ããã¯çã fact2: ãã®ã¿ã¡ã
ã¿ãLv.9ã¯æãåã ; $hypothesis$ = ãã®ã¿ã¡ã
ã¿ãLv.9ã¯æ¯é
ãç¶ããããããã¯ã³ã£ãããããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({EU}{fq} v {CL}{fq}) fact2: {A}{a} ; $hypothesis$ = ({B}{a} v ¬{C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã«ããŸã«ãLv.65ã¯æ¬è£
ããªã | ¬{C}{b} | fact1: ããä»®ã«ãã®ã·ãã·ãLv.7ãæŒãç¡ããšãããšãã®ãŸã«ããŸã«ãLv.65ã¯æ¬è£
ãã | fact1: {B}{a} -> {C}{b} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ã·ãã·ãLv.7ãæŒãç¡ããšãããšãã®ãŸã«ããŸã«ãLv.65ã¯æ¬è£
ãã ; $hypothesis$ = ãã®ãŸã«ããŸã«ãLv.65ã¯æ¬è£
ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} -> {C}{b} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | è¯ããšããããšãèµ·ãã | {C} | fact1: ãé²ã¿åºãããšã¯èµ·ããªããŠçããæããšããããšã¯çºçããªãããšããããšã¯ã埡瀌ããããšã¯çºçããªãããšããããšãå¥æ©ã fact2: ããããŸã¡ã
ãŸãLv.19äºä»¶ãèµ·ãããããã«ãŽã«ã
ãŽãLv.97äºä»¶ãçºçãããªã埡瀌ããããšã¯èµ·ããªã fact3: ãèŠé£ããšããããšã¯çºçããªãããšããããšã¯ç¶ãæããšããããšã«ç±æ¥ãã fact4: ãæã¡çŽãããšã¯èµ·ãããªããŠå¹³ãããšããããšã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªããªããŸã¡ã
ãŸãLv.19äºä»¶ãèµ·ãã fact5: ãœããœãLv.86äºä»¶ããŸãã¯çããæããšããããšãèµ·ãããšããããšããããã¯äž¡æ¹ã¯ãè¯ããšããããšã¯èµ·ãããªãããšããããšã®åå ãšãªã fact6: ãœããœãLv.86äºä»¶ã¯ãè¯ããšããããšãçããããšããããšãé²ã | fact1: ¬{E} -> (¬{D} & ¬{B}) fact2: ({G} & {F}) -> ¬{E} fact3: {IP} -> ¬{DK} fact4: ¬(¬{H} & ¬{I}) -> {G} fact5: ({A} v {B}) -> ¬{C} fact6: {A} -> ¬{C} | [] | [] | è¯ããšããããšãèµ·ãã | {C} | [] | 7 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãé²ã¿åºãããšã¯èµ·ããªããŠçããæããšããããšã¯çºçããªãããšããããšã¯ã埡瀌ããããšã¯çºçããªãããšããããšãå¥æ©ã fact2: ããããŸã¡ã
ãŸãLv.19äºä»¶ãèµ·ãããããã«ãŽã«ã
ãŽãLv.97äºä»¶ãçºçãããªã埡瀌ããããšã¯èµ·ããªã fact3: ãèŠé£ããšããããšã¯çºçããªãããšããããšã¯ç¶ãæããšããããšã«ç±æ¥ãã fact4: ãæã¡çŽãããšã¯èµ·ãããªããŠå¹³ãããšããããšã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªããªããŸã¡ã
ãŸãLv.19äºä»¶ãèµ·ãã fact5: ãœããœãLv.86äºä»¶ããŸãã¯çããæããšããããšãèµ·ãããšããããšããããã¯äž¡æ¹ã¯ãè¯ããšããããšã¯èµ·ãããªãããšããããšã®åå ãšãªã fact6: ãœããœãLv.86äºä»¶ã¯ãè¯ããšããããšãçããããšããããšãé²ã ; $hypothesis$ = è¯ããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{E} -> (¬{D} & ¬{B}) fact2: ({G} & {F}) -> ¬{E} fact3: {IP} -> ¬{DK} fact4: ¬(¬{H} & ¬{I}) -> {G} fact5: ({A} v {B}) -> ¬{C} fact6: {A} -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŸããŸã¡ã
Lv.71äºä»¶ãèµ·ãã | {C} | fact1: åç«æªæããããšã¯çºçããªã fact2: åœãŠä»ãããŸãããšããããšãçºçãã fact3: é²ç»ããããšãèµ·ãã fact4: ãããåœãŠä»ãããŸãããšããããšã¯èµ·ãããªããªããŸããŸã¡ã
Lv.71äºä»¶ãèµ·ãããäœæäœæãããšããããšãèµ·ãã fact5: ãäœæäœæãããšããããšãçãããããã«åœãŠä»ãããŸãããšããããšãèµ·ããããšããããšã¯ãŸããŸã¡ã
Lv.71äºä»¶ãé»æ¢ãã fact6: çµã¿èŸŒãããšãèµ·ãã | fact1: ¬{DU} fact2: {B} fact3: {U} fact4: ¬{B} -> ({C} & {A}) fact5: ({A} & {B}) -> ¬{C} fact6: {IM} | [] | [] | ãŸããŸã¡ã
Lv.71äºä»¶ãèµ·ãã | {C} | [] | 6 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: åç«æªæããããšã¯çºçããªã fact2: åœãŠä»ãããŸãããšããããšãçºçãã fact3: é²ç»ããããšãèµ·ãã fact4: ãããåœãŠä»ãããŸãããšããããšã¯èµ·ãããªããªããŸããŸã¡ã
Lv.71äºä»¶ãèµ·ãããäœæäœæãããšããããšãèµ·ãã fact5: ãäœæäœæãããšããããšãçãããããã«åœãŠä»ãããŸãããšããããšãèµ·ããããšããããšã¯ãŸããŸã¡ã
Lv.71äºä»¶ãé»æ¢ãã fact6: çµã¿èŸŒãããšãèµ·ãã ; $hypothesis$ = ãŸããŸã¡ã
Lv.71äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{DU} fact2: {B} fact3: {U} fact4: ¬{B} -> ({C} & {A}) fact5: ({A} & {B}) -> ¬{C} fact6: {IM} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã¡ã
ãŽãLv.51ã¯é æ¯ç¡ãããŸãã¯ããã¯åäžããããããã¯äž¡æ¹ãšãã§ãã | ({A}{a} v {B}{a}) | fact1: ãããã®ãŽã¡ã
ãŽãLv.51ãçºè¡ããªããšãããããã¯åãå
¥ãé£ã fact2: ãããããã®ãŽã¡ã
ãŽãLv.51ã¯æ±ãæãããããåãå
¥ãé£ããªãããšããããšã¯åã§ãããªãã°ãã®ãŽã¡ã
ãŽãLv.51ã¯åäžãã fact3: ããä»®ã«ãã®ãŽã¡ã
ãŽãLv.51ãæ¥ãããªããšããã°ãã®ãŽã¡ã
ãŽãLv.51ã¯æžãæã fact4: ããã®ãŽã¡ã
ãŽãLv.51ã¯æ±ãæããããã¯åãå
¥ãé£ããªãããšããããšã¯ééã£ãŠãã fact5: ããã®ããããLv.80ã¯åäžããããšããããšã¯æãç«ã€ fact6: ããã®ãŽã¡ã
ãŽãLv.51ã¯åãå
¥ãé£ãããã©å¥³ã®åããããªãããšããããšã¯æãç«ããªããªãã°ãã®ãŽã¡ã
ãŽãLv.51ã¯æºãããªã | fact1: ¬{DC}{a} -> {AB}{a} fact2: ¬({AA}{a} & ¬{AB}{a}) -> {B}{a} fact3: ¬{GG}{a} -> {ES}{a} fact4: ¬({AA}{a} & ¬{AB}{a}) fact5: {B}{io} fact6: ¬({AB}{a} & ¬{FK}{a}) -> {EJ}{a} | [
"fact2 & fact4 -> int1: ãã®ãŽã¡ã
ãŽãLv.51ã¯åäžãã; int1 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: {B}{a}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | null | PROVED | null | $facts$ = fact1: ãããã®ãŽã¡ã
ãŽãLv.51ãçºè¡ããªããšãããããã¯åãå
¥ãé£ã fact2: ãããããã®ãŽã¡ã
ãŽãLv.51ã¯æ±ãæãããããåãå
¥ãé£ããªãããšããããšã¯åã§ãããªãã°ãã®ãŽã¡ã
ãŽãLv.51ã¯åäžãã fact3: ããä»®ã«ãã®ãŽã¡ã
ãŽãLv.51ãæ¥ãããªããšããã°ãã®ãŽã¡ã
ãŽãLv.51ã¯æžãæã fact4: ããã®ãŽã¡ã
ãŽãLv.51ã¯æ±ãæããããã¯åãå
¥ãé£ããªãããšããããšã¯ééã£ãŠãã fact5: ããã®ããããLv.80ã¯åäžããããšããããšã¯æãç«ã€ fact6: ããã®ãŽã¡ã
ãŽãLv.51ã¯åãå
¥ãé£ãããã©å¥³ã®åããããªãããšããããšã¯æãç«ããªããªãã°ãã®ãŽã¡ã
ãŽãLv.51ã¯æºãããªã ; $hypothesis$ = ãã®ãŽã¡ã
ãŽãLv.51ã¯é æ¯ç¡ãããŸãã¯ããã¯åäžããããããã¯äž¡æ¹ãšãã§ãã ; $proof$ = | fact2 & fact4 -> int1: ãã®ãŽã¡ã
ãŽãLv.51ã¯åäžãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{DC}{a} -> {AB}{a} fact2: ¬({AA}{a} & ¬{AB}{a}) -> {B}{a} fact3: ¬{GG}{a} -> {ES}{a} fact4: ¬({AA}{a} & ¬{AB}{a}) fact5: {B}{io} fact6: ¬({AB}{a} & ¬{FK}{a}) -> {EJ}{a} ; $hypothesis$ = ({A}{a} v {B}{a}) ; $proof$ = | fact2 & fact4 -> int1: {B}{a}; int1 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ãã·ãLv.14ã¯æ£ãããªãããšããããšã¯æ£ãã | ¬{C}{c} | fact1: ããããã®ã¿ã«ãã¿ã¡ãLv.62ã¯å·ããããšããããšã¯æ¬åœã§ãããšããããã®ãããã«ãLv.3ã¯é£ãåããã fact2: ãã®ã¿ã«ãã¿ã¡ãLv.62ã¯å·ãã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãèãé£ããšããã°å¿è¡ã fact4: ããããã®ã·ã¡ãã·ãLv.74ã¯å¿è¡ããšããã°ããã®ãããã«ãLv.3ã¯æ¢ãç¡ãããšããããšã¯äºå®ã fact5: ããããã®ã·ã¡ãã·ã¡ã
Lv.33ãèãé£ããšããããã®ã·ã¡ãã·ãLv.74ã¯èãé£ã fact6: ä»®ã«ãã®ã·ã¡ãã·ã¡ã
Lv.33ã匟ãæããšããããã®ã·ã¡ãã·ã¡ã
Lv.33ã¯èãé£ã fact7: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.62ãé£ãåãããªããšãããšãã®ã·ãã·ãLv.14ã¯æ£ãããªããã©å·ãã fact8: ãã®ãããã«ãLv.3ã¯é£ãåããããšãããããã®ã·ãã·ãLv.14ã¯æ£ããããšããããšã¯äºå®ã | fact1: {A}{a} -> {B}{b} fact2: {A}{a} fact3: (x): {F}x -> {E}x fact4: {E}{d} -> {D}{b} fact5: {F}{e} -> {F}{d} fact6: {G}{e} -> {F}{e} fact7: ¬{B}{a} -> (¬{C}{c} & {A}{c}) fact8: {B}{b} -> {C}{c} | [
"fact1 & fact2 -> int1: ãã®ãããã«ãLv.3ã¯é£ãåããã; int1 & fact8 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: {B}{b}; int1 & fact8 -> hypothesis;"
] | ããã®ã·ãã·ãLv.14ã¯æ£ãããªãããšããããšã¯æ£ãã | ¬{C}{c} | [
"fact9 -> int2: ããä»®ã«ãã®ã·ã¡ãã·ãLv.74ãèãé£ããªãã°å¿è¡ã;"
] | 9 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ã¿ã«ãã¿ã¡ãLv.62ã¯å·ããããšããããšã¯æ¬åœã§ãããšããããã®ãããã«ãLv.3ã¯é£ãåããã fact2: ãã®ã¿ã«ãã¿ã¡ãLv.62ã¯å·ãã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãèãé£ããšããã°å¿è¡ã fact4: ããããã®ã·ã¡ãã·ãLv.74ã¯å¿è¡ããšããã°ããã®ãããã«ãLv.3ã¯æ¢ãç¡ãããšããããšã¯äºå®ã fact5: ããããã®ã·ã¡ãã·ã¡ã
Lv.33ãèãé£ããšããããã®ã·ã¡ãã·ãLv.74ã¯èãé£ã fact6: ä»®ã«ãã®ã·ã¡ãã·ã¡ã
Lv.33ã匟ãæããšããããã®ã·ã¡ãã·ã¡ã
Lv.33ã¯èãé£ã fact7: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.62ãé£ãåãããªããšãããšãã®ã·ãã·ãLv.14ã¯æ£ãããªããã©å·ãã fact8: ãã®ãããã«ãLv.3ã¯é£ãåããããšãããããã®ã·ãã·ãLv.14ã¯æ£ããããšããããšã¯äºå®ã ; $hypothesis$ = ããã®ã·ãã·ãLv.14ã¯æ£ãããªãããšããããšã¯æ£ãã ; $proof$ = | fact1 & fact2 -> int1: ãã®ãããã«ãLv.3ã¯é£ãåããã; int1 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: {A}{a} fact3: (x): {F}x -> {E}x fact4: {E}{d} -> {D}{b} fact5: {F}{e} -> {F}{d} fact6: {G}{e} -> {F}{e} fact7: ¬{B}{a} -> (¬{C}{c} & {A}{c}) fact8: {B}{b} -> {C}{c} ; $hypothesis$ = ¬{C}{c} ; $proof$ = | fact1 & fact2 -> int1: {B}{b}; int1 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã¡ã
ãŽã«Lv.44ã¯è¢«ãã | {B}{a} | fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãæ³¥èããšãããšãã®ãŽã¡ã
ãŽã«Lv.44ã¯è¢«ãããšããããšã¯ãªã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ããã©ããæå°æªãããããã¯äž¡æ¹ãšãã fact3: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯è¢«ãããšãããšãããã¯çµã¿èŸŒãããšããããšã¯ãªããŠããã«ããã¯æ³¥èããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact4: ããã©ãã¢ã³ã¹ã¿ãŒã¯ãããç¡ã fact5: ããä»®ã«ãã®ãŽã®ãŽã«Lv.74ã被ãããªããªãã°ãã®ãŽã¡ã
ãŽã«Lv.44ã¯è¢«ãã fact6: ããæ³¥èãããšããããšã¯æ£ãããã¢ã³ã¹ã¿ãŒã¯ãã fact7: ã被ãããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: (x): {A}x -> ¬{B}{a} fact2: (x): ({D}x v {E}x) fact3: (x): {B}x -> ¬(¬{FH}x & ¬{A}x) fact4: (x): {D}x -> {C}x fact5: ¬{B}{b} -> {B}{a} fact6: (Ex): {A}x fact7: (Ex): {B}x | [
"fact6 -> int1: ããæ³¥èãããšããããšã¯æ£ãããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact1 -> hypothesis;"
] | [
"fact6 -> int1: (Ex): {A}x; int1 & fact1 -> hypothesis;"
] | ãçµã¿èŸŒãããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): {FH}x | [
"fact8 -> int2: ããããã®ãŽã®ãŽã«Lv.74ã¯è¢«ãããšãããããã®ãŽã®ãŽã«Lv.74ã¯çµã¿èŸŒããªããããŸãã«ããã¯æ³¥èããªãããšããããšã¯äºå®ãšç°ãªãããšããããšã¯äºå®ã ;"
] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãæ³¥èããšãããšãã®ãŽã¡ã
ãŽã«Lv.44ã¯è¢«ãããšããããšã¯ãªã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ããã©ããæå°æªãããããã¯äž¡æ¹ãšãã fact3: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯è¢«ãããšãããšãããã¯çµã¿èŸŒãããšããããšã¯ãªããŠããã«ããã¯æ³¥èããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact4: ããã©ãã¢ã³ã¹ã¿ãŒã¯ãããç¡ã fact5: ããä»®ã«ãã®ãŽã®ãŽã«Lv.74ã被ãããªããªãã°ãã®ãŽã¡ã
ãŽã«Lv.44ã¯è¢«ãã fact6: ããæ³¥èãããšããããšã¯æ£ãããã¢ã³ã¹ã¿ãŒã¯ãã fact7: ã被ãããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãã®ãŽã¡ã
ãŽã«Lv.44ã¯è¢«ãã ; $proof$ = | fact6 -> int1: ããæ³¥èãããšããããšã¯æ£ãããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x -> ¬{B}{a} fact2: (x): ({D}x v {E}x) fact3: (x): {B}x -> ¬(¬{FH}x & ¬{A}x) fact4: (x): {D}x -> {C}x fact5: ¬{B}{b} -> {B}{a} fact6: (Ex): {A}x fact7: (Ex): {B}x ; $hypothesis$ = {B}{a} ; $proof$ = | fact6 -> int1: (Ex): {A}x; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ã
ãŽãLv.68ã¯å»ãã | {C}{b} | fact1: ããä»®ã«ãã®ãŽã«ãŽã«ãLv.27ãã匱ããªããªãã°ãã®ãããã¡ãLv.94ã¯æžãŸç¡ããªã fact2: ä»®ã«ãã®ãŽã«ãŽã«ãLv.27ãééãæããªãããããã¯äººéããããªãããŸãã¯äž¡æ¹ãšãã ãšããã°ã匱ããªã fact3: ãã®ãããã¡ãLv.94ã¯æžãŸç¡ã fact4: ãã®ã·ã«ã
ã·ãLv.9ã¯å»ããã倧人ã fact5: ãããªãããã®ã¢ã³ã¹ã¿ãŒãã匱ããªããšãããæžãŸç¡ããšããããšã¯ãªã fact6: æžãŸç¡ããªãã¢ã³ã¹ã¿ãŒã¯è奮ãæããŠããã«å»ãã fact7: ãã®ãããã¡ãLv.94ã¯è奮ãæã | fact1: ¬{D}{c} -> ¬{B}{a} fact2: (¬{E}{c} v ¬{F}{c}) -> ¬{D}{c} fact3: {B}{a} fact4: ({C}{gj} & {Q}{gj}) fact5: (x): ¬{D}x -> ¬{B}x fact6: (x): ¬{B}x -> ({A}x & {C}x) fact7: {A}{a} | [
"fact7 & fact3 -> int1: ãã®ãããã¡ãLv.94ã¯è奮ãæããæžãŸç¡ã;"
] | [
"fact7 & fact3 -> int1: ({A}{a} & {B}{a});"
] | ãã®ã¿ãã¿ã¡ãLv.49ã¯å»ããªã | ¬{C}{bs} | [
"fact9 -> int2: ãã®ãããã¡ãLv.94ãæžãŸç¡ããªããªãè奮ãæããŠæŽã«å»ãã; fact8 -> int3: ãããã®ãããã¡ãLv.94ãã匱ããªããšããã°ãã®ãããã¡ãLv.94ã¯æžãŸç¡ããªã;"
] | 5 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽã«ãŽã«ãLv.27ãã匱ããªããªãã°ãã®ãããã¡ãLv.94ã¯æžãŸç¡ããªã fact2: ä»®ã«ãã®ãŽã«ãŽã«ãLv.27ãééãæããªãããããã¯äººéããããªãããŸãã¯äž¡æ¹ãšãã ãšããã°ã匱ããªã fact3: ãã®ãããã¡ãLv.94ã¯æžãŸç¡ã fact4: ãã®ã·ã«ã
ã·ãLv.9ã¯å»ããã倧人ã fact5: ãããªãããã®ã¢ã³ã¹ã¿ãŒãã匱ããªããšãããæžãŸç¡ããšããããšã¯ãªã fact6: æžãŸç¡ããªãã¢ã³ã¹ã¿ãŒã¯è奮ãæããŠããã«å»ãã fact7: ãã®ãããã¡ãLv.94ã¯è奮ãæã ; $hypothesis$ = ãã®ãŽã«ã
ãŽãLv.68ã¯å»ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{D}{c} -> ¬{B}{a} fact2: (¬{E}{c} v ¬{F}{c}) -> ¬{D}{c} fact3: {B}{a} fact4: ({C}{gj} & {Q}{gj}) fact5: (x): ¬{D}x -> ¬{B}x fact6: (x): ¬{B}x -> ({A}x & {C}x) fact7: {A}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããŸã ãã£ããããæž
ããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): ({A}x & {B}x)) | fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯æž
ã fact2: ãã®ã¿ã«ã
ã¿ã¡ã
Lv.28ã¯æž
ã fact3: ããããã®ãœã«ãœã«ãLv.9ã¯æž
ããšããããšã¯ãªããããã«ãŸã ãã£ããããªãããšããããšã¯æãç«ããªããšããã°ãã®ãã«ãã¡ã
Lv.50ã¯æž
ã fact4: ãã®ãœã«ãœã«ãLv.9ã¯æž
ã fact5: ããŸã ãã£ããããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: (Ex): {B}x fact2: {B}{ai} fact3: ¬(¬{B}{a} & ¬{A}{a}) -> {B}{aa} fact4: {B}{a} fact5: (Ex): {A}x | [] | [] | ãã®ãã«ãã¡ã
Lv.50ã¯æž
ã | {B}{aa} | [] | 4 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯æž
ã fact2: ãã®ã¿ã«ã
ã¿ã¡ã
Lv.28ã¯æž
ã fact3: ããããã®ãœã«ãœã«ãLv.9ã¯æž
ããšããããšã¯ãªããããã«ãŸã ãã£ããããªãããšããããšã¯æãç«ããªããšããã°ãã®ãã«ãã¡ã
Lv.50ã¯æž
ã fact4: ãã®ãœã«ãœã«ãLv.9ã¯æž
ã fact5: ããŸã ãã£ããããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãããŸã ãã£ããããæž
ããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): {B}x fact2: {B}{ai} fact3: ¬(¬{B}{a} & ¬{A}{a}) -> {B}{aa} fact4: {B}{a} fact5: (Ex): {A}x ; $hypothesis$ = ¬((Ex): ({A}x & {B}x)) ; $proof$ = | __UNKNOWN__ |
0.3 | ãŸããŸãLv.99äºä»¶ãšå»ã¿ã£ãœããšããããšäž¡æ¹ãšããèµ·ãã | ({B} & {C}) | fact1: æããšããããšãçºçãã fact2: ãŸããŸãLv.99äºä»¶ã¯èµ·ããªããšããããšã¯ãæããšããããšãçããããšããããšã«é»ãŸãã fact3: ã·ãã·ãLv.77äºä»¶ã¯ã·ã®ã·ã¡ã
Lv.99äºä»¶ã«åŒãèµ·ãããã fact4: ä»®ã«ãæããšããããšã¯èµ·ããªãããšããããšã¯çå®ã§ãããªãã°ããŸããŸãLv.99äºä»¶ãçºçããããããå»ã¿ã£ãœããšããããšãèµ·ããããšããããšã¯äºå®ã ãšããããšã¯ãªã fact5: ããä»®ã«ã埡æ³ãŸãããšãèµ·ãããªãããŸãã¯åŒè§£ããŸãããšããããšã¯çºçããããšããããšã¯åã§ãããšãããšæããšããããšã¯çºçããªã | fact1: {A} fact2: {A} -> {B} fact3: {CD} -> {AQ} fact4: ¬{A} -> ¬({B} & {C}) fact5: ¬(¬{D} v {E}) -> ¬{A} | [
"fact2 & fact1 -> int1: ãŸããŸãLv.99äºä»¶ãçãã;"
] | [
"fact2 & fact1 -> int1: {B};"
] | ããŸããŸãLv.99äºä»¶ãšå»ã¿ã£ãœããšããããšäž¡æ¹ãšããçºçããããšããããšã¯æãç«ããªã | ¬({B} & {C}) | [] | 7 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: æããšããããšãçºçãã fact2: ãŸããŸãLv.99äºä»¶ã¯èµ·ããªããšããããšã¯ãæããšããããšãçããããšããããšã«é»ãŸãã fact3: ã·ãã·ãLv.77äºä»¶ã¯ã·ã®ã·ã¡ã
Lv.99äºä»¶ã«åŒãèµ·ãããã fact4: ä»®ã«ãæããšããããšã¯èµ·ããªãããšããããšã¯çå®ã§ãããªãã°ããŸããŸãLv.99äºä»¶ãçºçããããããå»ã¿ã£ãœããšããããšãèµ·ããããšããããšã¯äºå®ã ãšããããšã¯ãªã fact5: ããä»®ã«ã埡æ³ãŸãããšãèµ·ãããªãããŸãã¯åŒè§£ããŸãããšããããšã¯çºçããããšããããšã¯åã§ãããšãããšæããšããããšã¯çºçããªã ; $hypothesis$ = ãŸããŸãLv.99äºä»¶ãšå»ã¿ã£ãœããšããããšäž¡æ¹ãšããèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: {A} -> {B} fact3: {CD} -> {AQ} fact4: ¬{A} -> ¬({B} & {C}) fact5: ¬(¬{D} v {E}) -> ¬{A} ; $hypothesis$ = ({B} & {C}) ; $proof$ = | __UNKNOWN__ |
0.3 | è² æ
åºæ¥ãããšã¯èµ·ãããªã | ¬{C} | fact1: ãèµ·ããé£ããšããããšãçããããšããããšã¯ç¢ºãã fact2: ãæãããšããããšãèµ·ããããšããããšã¯äºå®ã§ãã fact3: ã埡æ©ããšããããšãçºçãããæŽã«æãããšããããšãçããããšããããšã¯è² æ
åºæ¥ãããšãé²ã fact4: 埡æ©ããšããããšãçºçãã | fact1: {EO} fact2: {B} fact3: ({A} & {B}) -> ¬{C} fact4: {A} | [
"fact4 & fact2 -> int1: 埡æ©ããšããããšãçãããããã«æãããšããããšãçãã; int1 & fact3 -> hypothesis;"
] | [
"fact4 & fact2 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãèµ·ããé£ããšããããšãçããããšããããšã¯ç¢ºãã fact2: ãæãããšããããšãèµ·ããããšããããšã¯äºå®ã§ãã fact3: ã埡æ©ããšããããšãçºçãããæŽã«æãããšããããšãçããããšããããšã¯è² æ
åºæ¥ãããšãé²ã fact4: 埡æ©ããšããããšãçºçãã ; $hypothesis$ = è² æ
åºæ¥ãããšã¯èµ·ãããªã ; $proof$ = | fact4 & fact2 -> int1: 埡æ©ããšããããšãçãããããã«æãããšããããšãçãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {EO} fact2: {B} fact3: ({A} & {B}) -> ¬{C} fact4: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | fact4 & fact2 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããã®ãã«ããLv.29ã¯è¡ãå
Œãããå°é£ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({A}{b} & {B}{b}) | fact1: ãã®ã¿ã«ã¿ã¡ã
Lv.85ã¯é瀺ã fact2: å°é£ããã¢ã³ã¹ã¿ãŒã¯æ°é£ãã fact3: ãã®ãã«ããLv.29ã¯è¡ãå
Œãã fact4: ãã®ãã«ããLv.29ã¯é瀺ã fact5: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ¬åœããããªããšããã°ãããã¯è¡ãå
Œãããå°é£ããããšããããšã¯ééã£ãŠãã fact6: ããããã®ãœã«ããœãLv.80ãååãããããé瀺ãããªããšãããšãã®ãã«ããLv.29ã¯å°é£ãã fact7: ãã®ãã«ããLv.29ã¯å€èº«ãããå ããŠç©åãŸãã | fact1: {AB}{io} fact2: (x): {B}x -> {DM}x fact3: {A}{b} fact4: {AB}{b} fact5: (x): ¬{C}x -> ¬({A}x & {B}x) fact6: ({AA}{a} & ¬{AB}{a}) -> {B}{b} fact7: ({BF}{b} & {FF}{b}) | [] | [] | ãã®ã·ãã·ãLv.18ã¯æ°é£ãããŠæŽã«ããã¯è¡ãå
Œãã | ({DM}{dr} & {A}{dr}) | [
"fact8 -> int1: ãããã®ã·ãã·ãLv.18ãå°é£ãããªãã°æ°é£ãã;"
] | 4 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã¿ã«ã¿ã¡ã
Lv.85ã¯é瀺ã fact2: å°é£ããã¢ã³ã¹ã¿ãŒã¯æ°é£ãã fact3: ãã®ãã«ããLv.29ã¯è¡ãå
Œãã fact4: ãã®ãã«ããLv.29ã¯é瀺ã fact5: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ¬åœããããªããšããã°ãããã¯è¡ãå
Œãããå°é£ããããšããããšã¯ééã£ãŠãã fact6: ããããã®ãœã«ããœãLv.80ãååãããããé瀺ãããªããšãããšãã®ãã«ããLv.29ã¯å°é£ãã fact7: ãã®ãã«ããLv.29ã¯å€èº«ãããå ããŠç©åãŸãã ; $hypothesis$ = ããã®ãã«ããLv.29ã¯è¡ãå
Œãããå°é£ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {AB}{io} fact2: (x): {B}x -> {DM}x fact3: {A}{b} fact4: {AB}{b} fact5: (x): ¬{C}x -> ¬({A}x & {B}x) fact6: ({AA}{a} & ¬{AB}{a}) -> {B}{b} fact7: ({BF}{b} & {FF}{b}) ; $hypothesis$ = ¬({A}{b} & {B}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãæ¯èŠªããããšããããšããã³ãããã¡ãLv.27äºä»¶äž¡æ¹ãšããèµ·ããããšããããšã¯æãç«ããªã | ¬({B} & {C}) | fact1: ãåºçŸãæããšããããšãçºçãããããã«æ¯èŠªããããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact2: åºçŸãæããšããããšãšå³æ°ç¡ããšããããšãèµ·ããã¯ãæ··ãåãããããšã¯çããªãããšããããšã«ããçãã fact3: ãããã¡ãLv.27äºä»¶ãèµ·ãã fact4: ããä»®ã«åºçŸãæããšããããšã¯èµ·ãããªããšãããšãæ¯èŠªããããšããããšãçºçããããããã¡ãLv.27äºä»¶ãçããããšããããšã¯ééã£ãŠãã fact5: ããããã¡ãLv.27äºä»¶ã¯èµ·ãããªããŠããŸãã«æŽã
ãããšããããšã¯çããªãããšããããšã¯ãœã¡ã
ãœãLv.40äºä»¶ã«ç±æ¥ãã fact6: ä»®ã«ãã·ãã·ã«ã
Lv.39äºä»¶ãèµ·ããããããã¯æ°é£ãããšããããšãçããããšããããšã¯æãç«ããªããªãæ··ãåãããããšã¯çºçããªã fact7: ãããã¡ãLv.27äºä»¶ã¯èµ·ãããªããšããã°ãèµ°ãæããšããããšãçãããããã«æ¯èŠªããããšããããšãçããããšããããšã¯æãç«ã€ | fact1: ({A} & {B}) fact2: ¬{D} -> ({A} & {AL}) fact3: {C} fact4: ¬{A} -> ¬({B} & {C}) fact5: {I} -> (¬{C} & ¬{E}) fact6: ¬({F} v {G}) -> ¬{D} fact7: ¬{C} -> ({EF} & {B}) | [
"fact1 -> int1: æ¯èŠªããããšããããšãçãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {B}; int1 & fact3 -> hypothesis;"
] | èµ°ãæããšããããšãšå³æ°ç¡ããšããããšãèµ·ãã | ({EF} & {AL}) | [] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãåºçŸãæããšããããšãçºçãããããã«æ¯èŠªããããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact2: åºçŸãæããšããããšãšå³æ°ç¡ããšããããšãèµ·ããã¯ãæ··ãåãããããšã¯çããªãããšããããšã«ããçãã fact3: ãããã¡ãLv.27äºä»¶ãèµ·ãã fact4: ããä»®ã«åºçŸãæããšããããšã¯èµ·ãããªããšãããšãæ¯èŠªããããšããããšãçºçããããããã¡ãLv.27äºä»¶ãçããããšããããšã¯ééã£ãŠãã fact5: ããããã¡ãLv.27äºä»¶ã¯èµ·ãããªããŠããŸãã«æŽã
ãããšããããšã¯çããªãããšããããšã¯ãœã¡ã
ãœãLv.40äºä»¶ã«ç±æ¥ãã fact6: ä»®ã«ãã·ãã·ã«ã
Lv.39äºä»¶ãèµ·ããããããã¯æ°é£ãããšããããšãçããããšããããšã¯æãç«ããªããªãæ··ãåãããããšã¯çºçããªã fact7: ãããã¡ãLv.27äºä»¶ã¯èµ·ãããªããšããã°ãèµ°ãæããšããããšãçãããããã«æ¯èŠªããããšããããšãçããããšããããšã¯æãç«ã€ ; $hypothesis$ = ãæ¯èŠªããããšããããšããã³ãããã¡ãLv.27äºä»¶äž¡æ¹ãšããèµ·ããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: æ¯èŠªããããšããããšãçãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: ¬{D} -> ({A} & {AL}) fact3: {C} fact4: ¬{A} -> ¬({B} & {C}) fact5: {I} -> (¬{C} & ¬{E}) fact6: ¬({F} v {G}) -> ¬{D} fact7: ¬{C} -> ({EF} & {B}) ; $hypothesis$ = ¬({B} & {C}) ; $proof$ = | fact1 -> int1: {B}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸãLv.61ã¯çã
ãããªã | ¬{B}{aa} | fact1: ãã®ãŸããŸãLv.61ã¯çŸã
ãããªããã©é·çŽ°ã fact2: ãã®ãœããœã¡ãLv.45ã¯é·çŽ°ã fact3: ãæž
ã
ãããªãã¢ã³ã¹ã¿ãŒã¯äœæ¥ãæããªããã©å€ãããšããããšã¯æ¬åœã | fact1: (¬{AA}{aa} & {AB}{aa}) fact2: {AB}{eo} fact3: (x): ¬{D}x -> (¬{C}x & {A}x) | [] | [] | ãã®ãŸããŸãLv.61ã¯çã
ãããªã | ¬{B}{aa} | [
"fact4 -> int1: ãã®ãããã¡ãLv.74ãæž
ã
ãããªããšããã°ããã¯äœæ¥ãæããªãããã©å€ã;"
] | 5 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸãLv.61ã¯çŸã
ãããªããã©é·çŽ°ã fact2: ãã®ãœããœã¡ãLv.45ã¯é·çŽ°ã fact3: ãæž
ã
ãããªãã¢ã³ã¹ã¿ãŒã¯äœæ¥ãæããªããã©å€ãããšããããšã¯æ¬åœã ; $hypothesis$ = ãã®ãŸããŸãLv.61ã¯çã
ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{aa} & {AB}{aa}) fact2: {AB}{eo} fact3: (x): ¬{D}x -> (¬{C}x & {A}x) ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸãªãŸãLv.42ã¯èŠãèŸã | {C}{b} | fact1: ããããã®ãŸããŸãLv.12ã¯åŸŽåãããªãããšããããšã¯ç¢ºãã ãšãããããã®ãŸãªãŸãLv.42ã¯åŸ¡æ§ãç¡ããªãäžæ¹ã§ããã¯ééç¡ãããšããããšã¯æãç«ããªã fact2: ä»®ã«ãã®ãŸããŸãLv.12ã¯æ©ãŸãããªããšããããããã¯åŸŽåããé¢åèãããšããããšã¯æãç«ããªã fact3: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã埡æ§ãç¡ããªãã°ããã¯èŠãèŸã fact4: ãããããã®ãŸãªãŸãLv.42ã¯åŸ¡æ§ãç¡ããªãããããééç¡ãããšããããšã¯ééã£ãŠãããšãããšããã¯èŠãèŸããªã fact5: ãã®ãŸããŸãLv.12ã埡æ§ãç¡ããšããã°ããã¯ééç¡ã fact6: ããããã®ãŸããŸãLv.12ãééç¡ããšããã°ãã®ãŸãªãŸãLv.42ã¯èŠãèŸã fact7: ããããã®ãŸããŸãLv.12ã¯åŸŽåãããããããã¯é¢åèãããšããããšã¯æãç«ããªããšããã°ããã¯åŸŽåãããªã | fact1: ¬{D}{a} -> ¬(¬{A}{b} & {B}{b}) fact2: ¬{E}{a} -> ¬({D}{a} & {F}{a}) fact3: (x): {A}x -> {C}x fact4: ¬(¬{A}{b} & {B}{b}) -> ¬{C}{b} fact5: {A}{a} -> {B}{a} fact6: {B}{a} -> {C}{b} fact7: ¬({D}{a} & {F}{a}) -> ¬{D}{a} | [] | [] | ãã®ãœããœãLv.79ã¯èŠãèŸã | {C}{fj} | [
"fact8 -> int1: ãããã®ãœããœãLv.79ã埡æ§ãç¡ããšãããšãã®ãœããœãLv.79ã¯èŠãèŸã;"
] | 4 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ãŸããŸãLv.12ã¯åŸŽåãããªãããšããããšã¯ç¢ºãã ãšãããããã®ãŸãªãŸãLv.42ã¯åŸ¡æ§ãç¡ããªãäžæ¹ã§ããã¯ééç¡ãããšããããšã¯æãç«ããªã fact2: ä»®ã«ãã®ãŸããŸãLv.12ã¯æ©ãŸãããªããšããããããã¯åŸŽåããé¢åèãããšããããšã¯æãç«ããªã fact3: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã埡æ§ãç¡ããªãã°ããã¯èŠãèŸã fact4: ãããããã®ãŸãªãŸãLv.42ã¯åŸ¡æ§ãç¡ããªãããããééç¡ãããšããããšã¯ééã£ãŠãããšãããšããã¯èŠãèŸããªã fact5: ãã®ãŸããŸãLv.12ã埡æ§ãç¡ããšããã°ããã¯ééç¡ã fact6: ããããã®ãŸããŸãLv.12ãééç¡ããšããã°ãã®ãŸãªãŸãLv.42ã¯èŠãèŸã fact7: ããããã®ãŸããŸãLv.12ã¯åŸŽåãããããããã¯é¢åèãããšããããšã¯æãç«ããªããšããã°ããã¯åŸŽåãããªã ; $hypothesis$ = ãã®ãŸãªãŸãLv.42ã¯èŠãèŸã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{D}{a} -> ¬(¬{A}{b} & {B}{b}) fact2: ¬{E}{a} -> ¬({D}{a} & {F}{a}) fact3: (x): {A}x -> {C}x fact4: ¬(¬{A}{b} & {B}{b}) -> ¬{C}{b} fact5: {A}{a} -> {B}{a} fact6: {B}{a} -> {C}{b} fact7: ¬({D}{a} & {F}{a}) -> ¬{D}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããããLv.14ã¯çãèŸã | {C}{a} | fact1: ãã®ããããLv.14ã¯æ¥æ¬äººããã fact2: ä»®ã«ãã®ããããLv.14ãé£ãèŸããªããšãããšæ¥æ¬äººãããããŸãã¯åŒãç¶ããªã fact3: ããä»®ã«ãã®ã·ãã·ãLv.80ãé£åž¯ä¿èšŒãããšããã°ãã®ã·ãã·ãLv.80ã¯æ¥æ¬äººããããªã | fact1: {A}{a} fact2: ¬{D}{a} -> ({A}{a} v ¬{B}{a}) fact3: {HQ}{ft} -> ¬{A}{ft} | [
"fact1 -> int1: ãã®ããããLv.14ã¯æ¥æ¬äººããããããã¯åŒãç¶ãããããã¯äž¡æ¹ã§ãã;"
] | [
"fact1 -> int1: ({A}{a} v {B}{a});"
] | ãã®ããããLv.14ã¯çãèŸã | {C}{a} | [] | 5 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ããããLv.14ã¯æ¥æ¬äººããã fact2: ä»®ã«ãã®ããããLv.14ãé£ãèŸããªããšãããšæ¥æ¬äººãããããŸãã¯åŒãç¶ããªã fact3: ããä»®ã«ãã®ã·ãã·ãLv.80ãé£åž¯ä¿èšŒãããšããã°ãã®ã·ãã·ãLv.80ã¯æ¥æ¬äººããããªã ; $hypothesis$ = ãã®ããããLv.14ã¯çãèŸã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: ¬{D}{a} -> ({A}{a} v ¬{B}{a}) fact3: {HQ}{ft} -> ¬{A}{ft} ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã¡ãLv.91ã¯å®ã | {C}{b} | fact1: ãã®ã·ãã·ãLv.14ã¯é£ãã fact2: ãä»®ã«ãã®ã·ãã·ãLv.14ãæ±ãããããŸãã¯é£ãããªããã®ã·ãã·ã¡ãLv.91ã¯å®ããªãããšããããšã¯ééã£ãŠãããšããããšã¯ãªã | fact1: {B}{a} fact2: ({A}{a} v {B}{a}) -> ¬{C}{b} | [
"fact1 -> int1: ãã®ã·ãã·ãLv.14ã¯æ±ãããããŸãã¯é£ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: ({A}{a} v {B}{a}); int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ã·ãã·ãLv.14ã¯é£ãã fact2: ãä»®ã«ãã®ã·ãã·ãLv.14ãæ±ãããããŸãã¯é£ãããªããã®ã·ãã·ã¡ãLv.91ã¯å®ããªãããšããããšã¯ééã£ãŠãããšããããšã¯ãªã ; $hypothesis$ = ãã®ã·ãã·ã¡ãLv.91ã¯å®ã ; $proof$ = | fact1 -> int1: ãã®ã·ãã·ãLv.14ã¯æ±ãããããŸãã¯é£ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: ({A}{a} v {B}{a}) -> ¬{C}{b} ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 -> int1: ({A}{a} v {B}{a}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãçœã
ãããšããããšããã³ã·ãã·ãLv.4äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã | ¬({C} & {B}) | fact1: 䜿ãèŸããšããããšã¯ã·ãã·ãLv.4äºä»¶ããããã fact2: çœã
ãããšããããšãçãã fact3: 䜿ãèŸããšããããšãçºçãã | fact1: {A} -> {B} fact2: {C} fact3: {A} | [
"fact1 & fact3 -> int1: ã·ãã·ãLv.4äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: 䜿ãèŸããšããããšã¯ã·ãã·ãLv.4äºä»¶ããããã fact2: çœã
ãããšããããšãçãã fact3: 䜿ãèŸããšããããšãçºçãã ; $hypothesis$ = ãçœã
ãããšããããšããã³ã·ãã·ãLv.4äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 & fact3 -> int1: ã·ãã·ãLv.4äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {B} fact2: {C} fact3: {A} ; $hypothesis$ = ¬({C} & {B}) ; $proof$ = | fact1 & fact3 -> int1: {B}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽã«ãLv.0ã¯éæç¡ããšããããšã¯ãªã | ¬{C}{a} | fact1: ä»®ã«ãã®ãŽããŽã«ãLv.0ãå¿åŒ±ããªãã°ãã®ãŽããŽã«ãLv.0ã¯éæç¡ã fact2: ãã®ãŽããŽã«ãLv.0ã¯èããã fact3: ãããã®ãŽããŽã«ãLv.0ãèããããªãå¿åŒ±ã | fact1: {B}{a} -> {C}{a} fact2: {A}{a} fact3: {A}{a} -> {B}{a} | [
"fact3 & fact2 -> int1: ããã®ãŽããŽã«ãLv.0ã¯å¿åŒ±ãããšããããšã¯çå®ã§ãã; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ãŽããŽã«ãLv.0ãå¿åŒ±ããªãã°ãã®ãŽããŽã«ãLv.0ã¯éæç¡ã fact2: ãã®ãŽããŽã«ãLv.0ã¯èããã fact3: ãããã®ãŽããŽã«ãLv.0ãèããããªãå¿åŒ±ã ; $hypothesis$ = ãã®ãŽããŽã«ãLv.0ã¯éæç¡ããšããããšã¯ãªã ; $proof$ = | fact3 & fact2 -> int1: ããã®ãŽããŽã«ãLv.0ã¯å¿åŒ±ãããšããããšã¯çå®ã§ãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> {C}{a} fact2: {A}{a} fact3: {A}{a} -> {B}{a} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact3 & fact2 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãããã¡ã
Lv.75ã¯è³¢ãããªããã©ãã£ãããããšããããšã¯èª€ãã§ãã | ¬(¬{B}{a} & {C}{a}) | fact1: ãæŽã
ãããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãããããæŽã
ããããšããããšã¯äºå®ã§ãããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ãããã¡ã
Lv.75ã¯è³¢ããããã£ãããããšããããšã¯èª€ã£ãŠãã fact3: ä»®ã«ãæŽã
ãããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ãããã¡ã
Lv.75ã¯è³¢ãããšããããšã¯ãªãäžæ¹ã§ãã£ãããããšããããšã¯ééãã§ãã fact4: ããã®ãããã¡ã
Lv.75ã¯è³¢ãããŠãã£ãããããšããããšã¯äºå®ã§ãªã | fact1: (Ex): {A}x fact2: (x): {A}x -> ¬({B}{a} & {C}{a}) fact3: (x): {A}x -> ¬(¬{B}{a} & {C}{a}) fact4: ¬({B}{a} & {C}{a}) | [
"fact1 -> int1: ãæŽã
ãããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: (Ex): {A}x; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ãæŽã
ãããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãããããæŽã
ããããšããããšã¯äºå®ã§ãããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ãããã¡ã
Lv.75ã¯è³¢ããããã£ãããããšããããšã¯èª€ã£ãŠãã fact3: ä»®ã«ãæŽã
ãããã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ãããã¡ã
Lv.75ã¯è³¢ãããšããããšã¯ãªãäžæ¹ã§ãã£ãããããšããããšã¯ééãã§ãã fact4: ããã®ãããã¡ã
Lv.75ã¯è³¢ãããŠãã£ãããããšããããšã¯äºå®ã§ãªã ; $hypothesis$ = ããã®ãããã¡ã
Lv.75ã¯è³¢ãããªããã©ãã£ãããããšããããšã¯èª€ãã§ãã ; $proof$ = | fact1 -> int1: ãæŽã
ãããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): {A}x fact2: (x): {A}x -> ¬({B}{a} & {C}{a}) fact3: (x): {A}x -> ¬(¬{B}{a} & {C}{a}) fact4: ¬({B}{a} & {C}{a}) ; $hypothesis$ = ¬(¬{B}{a} & {C}{a}) ; $proof$ = | fact1 -> int1: (Ex): {A}x; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŽããŽãLv.26ã¯äœãåŸãªããæããæããªãããšããããšã¯åœã§ãã | ¬(¬{AA}{a} & ¬{AB}{a}) | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœãåŸãªããå ããŠæããæããªã fact2: ãããã¢ã³ã¹ã¿ãŒã¯çã£æããªãããšããããšã¯äºå®ã§ããã°ããã¯çœ¹ãæããªã fact3: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã眹ãæããªããšããã°ã©ãããŠè¯ããªããããŸãã«æããæããšããããšã¯ãªã fact4: ä»®ã«ããã®ãŽããŽãLv.26ã¯çã£æããªãããšããããšã¯æ£ãããªããã®ãããã«ãLv.9ã¯çã£æããªã | fact1: (x): (¬{AA}x & ¬{AB}x) fact2: (x): ¬{B}x -> ¬{A}x fact3: (x): ¬{A}x -> (¬{AP}x & ¬{AB}x) fact4: ¬{B}{a} -> ¬{B}{ds} | [
"fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœãåŸãªããå ããŠæããæããªã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): (¬{AA}x & ¬{AB}x); int1 -> hypothesis;"
] | ãã®ãããã«ãLv.9ã¯ã©ãããŠè¯ããšããããšã¯ãªãããã€æããæããªã | (¬{AP}{ds} & ¬{AB}{ds}) | [
"fact6 -> int2: ãã®ãããã«ãLv.9ã眹ãæããªããšãããšã©ãããŠè¯ããªãããããæããæããšããããšã¯ãªã; fact5 -> int3: ãããã®ãããã«ãLv.9ãçã£æããªããšãããšããã¯çœ¹ãæããšããããšã¯ãªã;"
] | 5 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœãåŸãªããå ããŠæããæããªã fact2: ãããã¢ã³ã¹ã¿ãŒã¯çã£æããªãããšããããšã¯äºå®ã§ããã°ããã¯çœ¹ãæããªã fact3: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã眹ãæããªããšããã°ã©ãããŠè¯ããªããããŸãã«æããæããšããããšã¯ãªã fact4: ä»®ã«ããã®ãŽããŽãLv.26ã¯çã£æããªãããšããããšã¯æ£ãããªããã®ãããã«ãLv.9ã¯çã£æããªã ; $hypothesis$ = ããã®ãŽããŽãLv.26ã¯äœãåŸãªããæããæããªãããšããããšã¯åœã§ãã ; $proof$ = | fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœãåŸãªããå ããŠæããæããªã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): (¬{AA}x & ¬{AB}x) fact2: (x): ¬{B}x -> ¬{A}x fact3: (x): ¬{A}x -> (¬{AP}x & ¬{AB}x) fact4: ¬{B}{a} -> ¬{B}{ds} ; $hypothesis$ = ¬(¬{AA}{a} & ¬{AB}{a}) ; $proof$ = | fact1 -> int1: (x): (¬{AA}x & ¬{AB}x); int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸãLv.41ã¯å¿ã | {C}{a} | fact1: ãã®ãŸããŸãLv.41ã¯åŸ¡ä»äºãã fact2: ãããã®ãŸããŸãLv.41ã銎æã¿é£ããå ããŠåŸ¡ä»äºããã°ãã®ãŸããŸãLv.41ã¯å¿ããªã fact3: ãã®ãŸããŸãLv.41ã¯éŠŽæã¿é£ã fact4: ãšããã¢ã³ã¹ã¿ãŒã銎æã¿é£ããªããšãããšå¿ããããã¯èµ·ããæã | fact1: {B}{a} fact2: ({A}{a} & {B}{a}) -> ¬{C}{a} fact3: {A}{a} fact4: (x): ¬{A}x -> ({C}x & {FC}x) | [
"fact3 & fact1 -> int1: ãã®ãŸããŸãLv.41ã¯éŠŽæã¿é£ããŠåŸ¡ä»äºãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> hypothesis;"
] | ãã®ã¿ã¡ãã¿ãLv.90ã¯å¿ããèµ·ããæã | ({C}{fo} & {FC}{fo}) | [
"fact5 -> int2: ããããã®ã¿ã¡ãã¿ãLv.90ã銎æã¿é£ããªããšããã°ãã®ã¿ã¡ãã¿ãLv.90ã¯å¿ããå ããŠèµ·ããæã;"
] | 4 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸãLv.41ã¯åŸ¡ä»äºãã fact2: ãããã®ãŸããŸãLv.41ã銎æã¿é£ããå ããŠåŸ¡ä»äºããã°ãã®ãŸããŸãLv.41ã¯å¿ããªã fact3: ãã®ãŸããŸãLv.41ã¯éŠŽæã¿é£ã fact4: ãšããã¢ã³ã¹ã¿ãŒã銎æã¿é£ããªããšãããšå¿ããããã¯èµ·ããæã ; $hypothesis$ = ãã®ãŸããŸãLv.41ã¯å¿ã ; $proof$ = | fact3 & fact1 -> int1: ãã®ãŸããŸãLv.41ã¯éŠŽæã¿é£ããŠåŸ¡ä»äºãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: ({A}{a} & {B}{a}) -> ¬{C}{a} fact3: {A}{a} fact4: (x): ¬{A}x -> ({C}x & {FC}x) ; $hypothesis$ = {C}{a} ; $proof$ = | fact3 & fact1 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ãLv.38ã¯è åãã | {C}{a} | fact1: ä»®ã«ãã®ãã¡ã
ãã¡ãLv.0ãé·ã
ãããªããã©è åãããªããã®ã·ãã·ãLv.38ã¯è åãããšããããšã¯ãªã fact2: ããã®ãŽããŽãªLv.90ã¯çç¡ããªãã°ããã®ãŸããŸã¡ã
Lv.12ã¯çŠãŸããäžæ¹ã§é·ã
ãããšããããšã¯ãªãããšããããšã¯çå®ã§ããããšããããšã¯æãç«ã€ fact3: ãã®ã·ãã·ãLv.38ã¯é·ã
ãã fact4: ããããã®ã·ãã·ãLv.38ã¯é·ã
ããããšããããšã¯æãç«ã€ãªãããã¯çŠãŸãã fact5: ããããã®ã·ãã·ãLv.38ãçŠãŸãããšããããã®ã·ãã·ãLv.38ã¯è åãã | fact1: (¬{A}{b} & {C}{b}) -> ¬{C}{a} fact2: {D}{e} -> ({B}{d} & ¬{A}{d}) fact3: {A}{a} fact4: {A}{a} -> {B}{a} fact5: {B}{a} -> {C}{a} | [
"fact4 & fact3 -> int1: ãã®ã·ãã·ãLv.38ã¯çŠãŸãã; int1 & fact5 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: {B}{a}; int1 & fact5 -> hypothesis;"
] | ãã®ã·ãã·ãLv.38ã¯è åããªã | ¬{C}{a} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãã¡ã
ãã¡ãLv.0ãé·ã
ãããªããã©è åãããªããã®ã·ãã·ãLv.38ã¯è åãããšããããšã¯ãªã fact2: ããã®ãŽããŽãªLv.90ã¯çç¡ããªãã°ããã®ãŸããŸã¡ã
Lv.12ã¯çŠãŸããäžæ¹ã§é·ã
ãããšããããšã¯ãªãããšããããšã¯çå®ã§ããããšããããšã¯æãç«ã€ fact3: ãã®ã·ãã·ãLv.38ã¯é·ã
ãã fact4: ããããã®ã·ãã·ãLv.38ã¯é·ã
ããããšããããšã¯æãç«ã€ãªãããã¯çŠãŸãã fact5: ããããã®ã·ãã·ãLv.38ãçŠãŸãããšããããã®ã·ãã·ãLv.38ã¯è åãã ; $hypothesis$ = ãã®ã·ãã·ãLv.38ã¯è åãã ; $proof$ = | fact4 & fact3 -> int1: ãã®ã·ãã·ãLv.38ã¯çŠãŸãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{A}{b} & {C}{b}) -> ¬{C}{a} fact2: {D}{e} -> ({B}{d} & ¬{A}{d}) fact3: {A}{a} fact4: {A}{a} -> {B}{a} fact5: {B}{a} -> {C}{a} ; $hypothesis$ = {C}{a} ; $proof$ = | fact4 & fact3 -> int1: {B}{a}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãŸã«ããŸãLv.12äºä»¶ãçãã | {C} | fact1: ãŽããŽãLv.45äºä»¶ããã³ãŸã«ããŸãLv.49äºä»¶ãèµ·ããã°æšããšããããšã¯èµ·ããªã fact2: ãäžãæããšããããšãšç²ã匷ããšããããšäž¡æ¹ãçããããšããããšã¯ãæšããšããããšã¯çããªãããšããããšã«ç±æ¥ãã fact3: æ¯ãåãããšãèµ·ãããããããããã¡ãLv.72äºä»¶ãèµ·ãã fact4: ç²ã匷ããšããããšãèµ·ãããªãããããã¡ãLv.72äºä»¶ãèµ·ãããã©æ¯ãåãããšã¯çºçããªãããšããããšã¯åã§ãã fact5: ãŸã«ããŸãLv.12äºä»¶ã¯çºçããªããšããããšã¯ãããã¡ãLv.72äºä»¶ã«é»ãŸãã | fact1: ({G} & {H}) -> ¬{F} fact2: ¬{F} -> ({E} & {D}) fact3: ({A} & {B}) fact4: {D} -> ¬({B} & ¬{A}) fact5: {B} -> {C} | [
"fact3 -> int1: ãããã¡ãLv.72äºä»¶ãçãã; int1 & fact5 -> hypothesis;"
] | [
"fact3 -> int1: {B}; int1 & fact5 -> hypothesis;"
] | ãŸã«ããŸãLv.12äºä»¶ã¯çºçããªã | ¬{C} | [] | 8 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŽããŽãLv.45äºä»¶ããã³ãŸã«ããŸãLv.49äºä»¶ãèµ·ããã°æšããšããããšã¯èµ·ããªã fact2: ãäžãæããšããããšãšç²ã匷ããšããããšäž¡æ¹ãçããããšããããšã¯ãæšããšããããšã¯çããªãããšããããšã«ç±æ¥ãã fact3: æ¯ãåãããšãèµ·ãããããããããã¡ãLv.72äºä»¶ãèµ·ãã fact4: ç²ã匷ããšããããšãèµ·ãããªãããããã¡ãLv.72äºä»¶ãèµ·ãããã©æ¯ãåãããšã¯çºçããªãããšããããšã¯åã§ãã fact5: ãŸã«ããŸãLv.12äºä»¶ã¯çºçããªããšããããšã¯ãããã¡ãLv.72äºä»¶ã«é»ãŸãã ; $hypothesis$ = ãŸã«ããŸãLv.12äºä»¶ãçãã ; $proof$ = | fact3 -> int1: ãããã¡ãLv.72äºä»¶ãçãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ({G} & {H}) -> ¬{F} fact2: ¬{F} -> ({E} & {D}) fact3: ({A} & {B}) fact4: {D} -> ¬({B} & ¬{A}) fact5: {B} -> {C} ; $hypothesis$ = {C} ; $proof$ = | fact3 -> int1: {B}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ã埡æ¿ããšããããšã¯èµ·ãããªãããšããããšã¯ç¢ºãã§ãã | ¬{C} | fact1: 埡æ¿ããšããããšã¯èµ·ããªããšããããšã¯é·ã£ãããããšããããšã«é»ãŸãã fact2: ããããé¢çœãããããšããããšãçãããé·ã£ãããããšããããšãçããããšããããšã¯ééãã ãšãããã埡æ¿ããšããããšã¯çããªãããšããããšã¯æãç«ã€ fact3: åãé£ããšããããšãçºçãã fact4: é¢çœãããããšããããšãèµ·ãããšããããšã¯é·ã£ãããããšããããšã¯èµ·ããªããšããããšãé»ã fact5: ããã¿ãã¿ã¡ãLv.40äºä»¶ã¯çºçããªããšããã°ãé¢çœãããããšããããšããã³é·ã£ãããããšããããšãçããããšããããšã¯èª€ãã fact6: ãé·ã£ãããããšããããšã¯çããªããŠããã«åŸ¡æ¿ããšããããšã¯èµ·ãããªãããšããããšã¯ã¿ãã¿ã¡ãLv.40äºä»¶ã¯èµ·ãããªããšããããšã«èµ·å ãã | fact1: {B} -> {C} fact2: ¬({A} & {B}) -> ¬{C} fact3: {FM} fact4: {A} -> {B} fact5: ¬{D} -> ¬({A} & {B}) fact6: ¬{D} -> (¬{B} & ¬{C}) | [] | [] | ãã«ãã«Lv.34äºä»¶ãçºçãã | {FC} | [] | 6 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: 埡æ¿ããšããããšã¯èµ·ããªããšããããšã¯é·ã£ãããããšããããšã«é»ãŸãã fact2: ããããé¢çœãããããšããããšãçãããé·ã£ãããããšããããšãçããããšããããšã¯ééãã ãšãããã埡æ¿ããšããããšã¯çããªãããšããããšã¯æãç«ã€ fact3: åãé£ããšããããšãçºçãã fact4: é¢çœãããããšããããšãèµ·ãããšããããšã¯é·ã£ãããããšããããšã¯èµ·ããªããšããããšãé»ã fact5: ããã¿ãã¿ã¡ãLv.40äºä»¶ã¯çºçããªããšããã°ãé¢çœãããããšããããšããã³é·ã£ãããããšããããšãçããããšããããšã¯èª€ãã fact6: ãé·ã£ãããããšããããšã¯çããªããŠããã«åŸ¡æ¿ããšããããšã¯èµ·ãããªãããšããããšã¯ã¿ãã¿ã¡ãLv.40äºä»¶ã¯èµ·ãããªããšããããšã«èµ·å ãã ; $hypothesis$ = ã埡æ¿ããšããããšã¯èµ·ãããªãããšããããšã¯ç¢ºãã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} -> {C} fact2: ¬({A} & {B}) -> ¬{C} fact3: {FM} fact4: {A} -> {B} fact5: ¬{D} -> ¬({A} & {B}) fact6: ¬{D} -> (¬{B} & ¬{C}) ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŽããŽã«ã
Lv.67äºä»¶ãèµ·ãã | {C} | fact1: ããŽããŽãLv.94äºä»¶ã¯èµ·ããªãããšããããšããœã«ã
ãœãLv.74äºä»¶ããããã¯äž¡æ¹ã¯ã倪ãé£ããšããããšã¯èµ·ãããªãããšããããšã®ãã£ãããšãªã fact2: 倪ãé£ããšããããšã¯ããŽããŽã«ã
Lv.67äºä»¶ã¯çããªãããšããããšãé²ã fact3: ããä»®ã«ãå©ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯ç¢ºãã§ãããªããœã«ã
ãœãLv.74äºä»¶ã¯çããªãããŽããŽã«ã
Lv.67äºä»¶ã¯èµ·ãããªã fact4: ããŽããŽãLv.94äºä»¶ãçºçããªããŠãŸããŽããŽã«ã
Lv.67äºä»¶ã¯èµ·ããªãããšããããšã¯ã倪ãé£ããšããããšã¯çããªãããšããããšãçãããã fact5: 埡åºããšããããšãèµ·ãã fact6: ããä»®ã«è²¯æ°Žããããšã¯èµ·ããªããªãå©ãé£ããšããããšããã³çºç
ããããšäž¡æ¹ãèµ·ãã fact7: ãŽãªãŽãLv.40äºä»¶ãèµ·ãã fact8: 倪ãé£ããšããããšã¯åŸ¡åºããšããããšãèµ·ãããšããããšã«åŒãèµ·ãããã | fact1: (¬{D} v {E}) -> ¬{B} fact2: {B} -> {C} fact3: ¬{F} -> (¬{E} & ¬{C}) fact4: (¬{D} & ¬{C}) -> ¬{B} fact5: {A} fact6: ¬{H} -> ({F} & {G}) fact7: {HM} fact8: {A} -> {B} | [
"fact8 & fact5 -> int1: 倪ãé£ããšããããšãçºçãã; int1 & fact2 -> hypothesis;"
] | [
"fact8 & fact5 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | ãŽããŽã«ã
Lv.67äºä»¶ã¯çããªã | ¬{C} | [] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããŽããŽãLv.94äºä»¶ã¯èµ·ããªãããšããããšããœã«ã
ãœãLv.74äºä»¶ããããã¯äž¡æ¹ã¯ã倪ãé£ããšããããšã¯èµ·ãããªãããšããããšã®ãã£ãããšãªã fact2: 倪ãé£ããšããããšã¯ããŽããŽã«ã
Lv.67äºä»¶ã¯çããªãããšããããšãé²ã fact3: ããä»®ã«ãå©ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯ç¢ºãã§ãããªããœã«ã
ãœãLv.74äºä»¶ã¯çããªãããŽããŽã«ã
Lv.67äºä»¶ã¯èµ·ãããªã fact4: ããŽããŽãLv.94äºä»¶ãçºçããªããŠãŸããŽããŽã«ã
Lv.67äºä»¶ã¯èµ·ããªãããšããããšã¯ã倪ãé£ããšããããšã¯çããªãããšããããšãçãããã fact5: 埡åºããšããããšãèµ·ãã fact6: ããä»®ã«è²¯æ°Žããããšã¯èµ·ããªããªãå©ãé£ããšããããšããã³çºç
ããããšäž¡æ¹ãèµ·ãã fact7: ãŽãªãŽãLv.40äºä»¶ãèµ·ãã fact8: 倪ãé£ããšããããšã¯åŸ¡åºããšããããšãèµ·ãããšããããšã«åŒãèµ·ãããã ; $hypothesis$ = ãŽããŽã«ã
Lv.67äºä»¶ãèµ·ãã ; $proof$ = | fact8 & fact5 -> int1: 倪ãé£ããšããããšãçºçãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{D} v {E}) -> ¬{B} fact2: {B} -> {C} fact3: ¬{F} -> (¬{E} & ¬{C}) fact4: (¬{D} & ¬{C}) -> ¬{B} fact5: {A} fact6: ¬{H} -> ({F} & {G}) fact7: {HM} fact8: {A} -> {B} ; $hypothesis$ = {C} ; $proof$ = | fact8 & fact5 -> int1: {B}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŸããŸã«ãLv.80ã¯å¥³ã£ãœãããããæç²ããããšããããšã¯äºå®ãšç°ãªã | ¬({A}{a} & {C}{a}) | fact1: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã瞺ãããªãæç²ããªã fact2: ãã®ãŸããŸã«ãLv.80ã¯æç²ãã | fact1: (x): {D}x -> ¬{C}x fact2: {C}{a} | [] | [] | ãã®ã¿ãã¿ãLv.61ã¯çºæ®ãé£ã | {B}{gk} | [
"fact3 -> int1: ããä»®ã«ãã®ãŸããŸã«ãLv.80ã瞺ããã°ããã¯æç²ããªã;"
] | 5 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã瞺ãããªãæç²ããªã fact2: ãã®ãŸããŸã«ãLv.80ã¯æç²ãã ; $hypothesis$ = ããã®ãŸããŸã«ãLv.80ã¯å¥³ã£ãœãããããæç²ããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {D}x -> ¬{C}x fact2: {C}{a} ; $hypothesis$ = ¬({A}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã¡ã
ããªLv.84ã¯æãäžãã | {C}{b} | fact1: ãããã®ãã¡ã
ããªLv.84ããããããªããšããã°ãã®ãŽããŽãªLv.84ã¯ç°è²ã£ãœããªãããããéããæã fact2: ä»®ã«ãã®ãŽããŽãªLv.84ã䌎ãæããšããããã®ãã¡ã
ããªLv.84ã¯æãäžãã fact3: ãã®ãã¡ã
ããªLv.84ã¯äŒŽãæã fact4: ãã®ãŽããŽãªLv.84ã¯äŒŽãæããŠå ããŠããã¯ç°è²ã£ãœã fact5: ããä»®ã«ãã®ãã¡ã
ããªLv.84ãç°è²ã£ãœããšãããšãã®ãŽããŽãªLv.84ã¯æãäžãã | fact1: ¬{E}{b} -> (¬{B}{a} & {D}{a}) fact2: {A}{a} -> {C}{b} fact3: {A}{b} fact4: ({A}{a} & {B}{a}) fact5: {B}{b} -> {C}{a} | [
"fact4 -> int1: ãã®ãŽããŽãªLv.84ã¯äŒŽãæã; int1 & fact2 -> hypothesis;"
] | [
"fact4 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ãŸã®ãŸã«ãLv.48ã¯æãäžãã | {C}{if} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®ãã¡ã
ããªLv.84ããããããªããšããã°ãã®ãŽããŽãªLv.84ã¯ç°è²ã£ãœããªãããããéããæã fact2: ä»®ã«ãã®ãŽããŽãªLv.84ã䌎ãæããšããããã®ãã¡ã
ããªLv.84ã¯æãäžãã fact3: ãã®ãã¡ã
ããªLv.84ã¯äŒŽãæã fact4: ãã®ãŽããŽãªLv.84ã¯äŒŽãæããŠå ããŠããã¯ç°è²ã£ãœã fact5: ããä»®ã«ãã®ãã¡ã
ããªLv.84ãç°è²ã£ãœããšãããšãã®ãŽããŽãªLv.84ã¯æãäžãã ; $hypothesis$ = ãã®ãã¡ã
ããªLv.84ã¯æãäžãã ; $proof$ = | fact4 -> int1: ãã®ãŽããŽãªLv.84ã¯äŒŽãæã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E}{b} -> (¬{B}{a} & {D}{a}) fact2: {A}{a} -> {C}{b} fact3: {A}{b} fact4: ({A}{a} & {B}{a}) fact5: {B}{b} -> {C}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact4 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãœã¡ããœãLv.70äºä»¶ãèµ·ãã | {C} | fact1: ãœããœã¡ãLv.46äºä»¶ããã³å
¥ãé£ããšããããšãèµ·ããã¯ãœã¡ããœãLv.70äºä»¶ã¯èµ·ããªããšããããšã«ç¹ãã fact2: ãœããœã¡ãLv.46äºä»¶ãçãã fact3: ã¿ã«ãã¿ãLv.28äºä»¶ãçºçãã fact4: ãå
¥ãé£ããšããããšãèµ·ããããšããããšã¯çå®ã | fact1: ({A} & {B}) -> ¬{C} fact2: {A} fact3: {FA} fact4: {B} | [
"fact2 & fact4 -> int1: ãœããœã¡ãLv.46äºä»¶ããã³å
¥ãé£ããšããããšäž¡æ¹ãšããèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: ({A} & {B}); int1 & fact1 -> hypothesis;"
] | ã¿ã«ãã¿ãLv.28äºä»¶ãçºçãããæŽã«åš©åºããããšãèµ·ãã | ({FA} & {BB}) | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãœããœã¡ãLv.46äºä»¶ããã³å
¥ãé£ããšããããšãèµ·ããã¯ãœã¡ããœãLv.70äºä»¶ã¯èµ·ããªããšããããšã«ç¹ãã fact2: ãœããœã¡ãLv.46äºä»¶ãçãã fact3: ã¿ã«ãã¿ãLv.28äºä»¶ãçºçãã fact4: ãå
¥ãé£ããšããããšãèµ·ããããšããããšã¯çå®ã ; $hypothesis$ = ãœã¡ããœãLv.70äºä»¶ãèµ·ãã ; $proof$ = | fact2 & fact4 -> int1: ãœããœã¡ãLv.46äºä»¶ããã³å
¥ãé£ããšããããšäž¡æ¹ãšããèµ·ãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: {A} fact3: {FA} fact4: {B} ; $hypothesis$ = {C} ; $proof$ = | fact2 & fact4 -> int1: ({A} & {B}); int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ã°ãããããšããããšãçãã | {C} | fact1: ãŸããŸãLv.28äºä»¶ãèµ·ãã fact2: ã·ãã·ãLv.63äºä»¶ã¯ã°ãããããšããããšãçãããã fact3: å
¶ãããããšããããšãçãããã·ãã·ãLv.63äºä»¶ãèµ·ãã | fact1: {IR} fact2: {B} -> {C} fact3: ({A} & {B}) | [
"fact3 -> int1: ã·ãã·ãLv.63äºä»¶ãçºçãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãŸããŸãLv.28äºä»¶ãèµ·ãã fact2: ã·ãã·ãLv.63äºä»¶ã¯ã°ãããããšããããšãçãããã fact3: å
¶ãããããšããããšãçãããã·ãã·ãLv.63äºä»¶ãèµ·ãã ; $hypothesis$ = ã°ãããããšããããšãçãã ; $proof$ = | fact3 -> int1: ã·ãã·ãLv.63äºä»¶ãçºçãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {IR} fact2: {B} -> {C} fact3: ({A} & {B}) ; $hypothesis$ = {C} ; $proof$ = | fact3 -> int1: {B}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãŽããŽãLv.66äºä»¶ãèµ·ãã | {C} | fact1: æªããšããããšãèµ·ãã fact2: ããããŽããŽã«ãLv.84äºä»¶ãèµ·ãããç«åè£ããããšãçºçãããšããããŽããŽãLv.66äºä»¶ã¯èµ·ãããªã fact3: ç«åè£ããããšã¯èµ·ãããªããªãã°ãŽããŽãLv.66äºä»¶ãçãããæŽã«ãŽããŽã«ãLv.84äºä»¶ãçãã fact4: ç«åè£ããããšãçãã | fact1: {FE} fact2: ({A} & {B}) -> ¬{C} fact3: ¬{B} -> ({C} & {A}) fact4: {B} | [] | [] | ãŽããŽãLv.66äºä»¶ãèµ·ãã | {C} | [] | 6 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: æªããšããããšãèµ·ãã fact2: ããããŽããŽã«ãLv.84äºä»¶ãèµ·ãããç«åè£ããããšãçºçãããšããããŽããŽãLv.66äºä»¶ã¯èµ·ãããªã fact3: ç«åè£ããããšã¯èµ·ãããªããªãã°ãŽããŽãLv.66äºä»¶ãçãããæŽã«ãŽããŽã«ãLv.84äºä»¶ãçãã fact4: ç«åè£ããããšãçãã ; $hypothesis$ = ãŽããŽãLv.66äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {FE} fact2: ({A} & {B}) -> ¬{C} fact3: ¬{B} -> ({C} & {A}) fact4: {B} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŸããŸã®Lv.86äºä»¶ãçãã | {C} | fact1: ãŽãªãŽãªLv.79äºä»¶ãçºçãã fact2: ã·ãã·ã«ãLv.45äºä»¶ãèµ·ãã fact3: ããŽãªãŽãªLv.79äºä»¶ãšã·ãã·ã«ãLv.45äºä»¶äž¡æ¹ãçºçããããšããããšã¯ãŸããŸã®Lv.86äºä»¶ã¯çºçããªããšããããšãåŒãèµ·ãã fact4: ã芳å¯ãæããšããããšãšãŸã«ãŸã«ãLv.47äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããªãã·ãã·ã«ãLv.45äºä»¶ã¯èµ·ãããªã fact5: ãããã·ãã·ã«ãLv.45äºä»¶ãèµ·ãããªããšãããšãŽãªãŽãªLv.79äºä»¶ãšãŸããŸã®Lv.86äºä»¶ã¯çºçãã | fact1: {A} fact2: {B} fact3: ({A} & {B}) -> ¬{C} fact4: ¬({E} & {D}) -> ¬{B} fact5: ¬{B} -> ({A} & {C}) | [
"fact1 & fact2 -> int1: ãŽãªãŽãªLv.79äºä»¶ãšã·ãã·ã«ãLv.45äºä»¶äž¡æ¹ãèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis;"
] | ãŸããŸã®Lv.86äºä»¶ãçãã | {C} | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãŽãªãŽãªLv.79äºä»¶ãçºçãã fact2: ã·ãã·ã«ãLv.45äºä»¶ãèµ·ãã fact3: ããŽãªãŽãªLv.79äºä»¶ãšã·ãã·ã«ãLv.45äºä»¶äž¡æ¹ãçºçããããšããããšã¯ãŸããŸã®Lv.86äºä»¶ã¯çºçããªããšããããšãåŒãèµ·ãã fact4: ã芳å¯ãæããšããããšãšãŸã«ãŸã«ãLv.47äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããªãã·ãã·ã«ãLv.45äºä»¶ã¯èµ·ãããªã fact5: ãããã·ãã·ã«ãLv.45äºä»¶ãèµ·ãããªããšãããšãŽãªãŽãªLv.79äºä»¶ãšãŸããŸã®Lv.86äºä»¶ã¯çºçãã ; $hypothesis$ = ãŸããŸã®Lv.86äºä»¶ãçãã ; $proof$ = | fact1 & fact2 -> int1: ãŽãªãŽãªLv.79äºä»¶ãšã·ãã·ã«ãLv.45äºä»¶äž¡æ¹ãèµ·ãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: {B} fact3: ({A} & {B}) -> ¬{C} fact4: ¬({E} & {D}) -> ¬{B} fact5: ¬{B} -> ({A} & {C}) ; $hypothesis$ = {C} ; $proof$ = | fact1 & fact2 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœã«ã
ãœã«ãLv.98ã¯éæªãããšããããšã¯èª€ãã§ãªã | {A}{a} | fact1: ãããã®ãŸã¡ããŸã®Lv.90ã¯çºçãé£ããªããšãããããã®ã·ãã·ã¡ã
Lv.91ã¯æå°æªããããã«æž
ã
ããããšããããšã¯äºå®ãšç°ãªã fact2: ãªãããã®ã¢ã³ã¹ã¿ãŒã調ã¹æããªããšããã°ããããªãããããã¯ããã¯éæªããäž¡æ¹ãšãã§ãã fact3: ããããã®ã·ãã·ã¡ã
Lv.91ã¯æå°æªãããã®äžæž
ã
ããããšããããšã¯èª€ãã§ãããªããã®ãœã¡ããœãLv.72ã¯èª¿ã¹æããªã | fact1: ¬{F}{d} -> ¬({D}{c} & {E}{c}) fact2: (x): ¬{C}x -> ({B}x v {A}x) fact3: ¬({D}{c} & {E}{c}) -> ¬{C}{b} | [] | [] | ãã®ãœã«ã
ãœã«ãLv.98ã¯éæªããªã | ¬{A}{a} | [
"fact4 -> int1: ãã®ãœã¡ããœãLv.72ã調ã¹æããªããšãããšããããªãããããã¯éæªãããããã¯äž¡æ¹ãšãã§ãã;"
] | 7 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ãŸã¡ããŸã®Lv.90ã¯çºçãé£ããªããšãããããã®ã·ãã·ã¡ã
Lv.91ã¯æå°æªããããã«æž
ã
ããããšããããšã¯äºå®ãšç°ãªã fact2: ãªãããã®ã¢ã³ã¹ã¿ãŒã調ã¹æããªããšããã°ããããªãããããã¯ããã¯éæªããäž¡æ¹ãšãã§ãã fact3: ããããã®ã·ãã·ã¡ã
Lv.91ã¯æå°æªãããã®äžæž
ã
ããããšããããšã¯èª€ãã§ãããªããã®ãœã¡ããœãLv.72ã¯èª¿ã¹æããªã ; $hypothesis$ = ããã®ãœã«ã
ãœã«ãLv.98ã¯éæªãããšããããšã¯èª€ãã§ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{F}{d} -> ¬({D}{c} & {E}{c}) fact2: (x): ¬{C}x -> ({B}x v {A}x) fact3: ¬({D}{c} & {E}{c}) -> ¬{C}{b} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã«ãLv.17ã¯æ¶ããŸãã | {C}{a} | fact1: ãã®ã¿ã«ã¿ã«Lv.27ã¯æ¶ããŸãã fact2: ãã®ã¿ãã¿ã«ãLv.17ã¯ããã·ã¥ãã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èšãèš³ããŸãããã©æ
ãã ãããšããããšã¯ãªã fact4: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ããã£ã±ããŠããã¯è¿°æããªã fact5: ãã®ã¿ã«ã¿ã«Lv.27ã¯ä¿è·ãã | fact1: {C}{aa} fact2: {CB}{a} fact3: (x): ({CE}x & ¬{FN}x) fact4: (x): ({A}x & ¬{B}x) fact5: {BS}{aa} | [
"fact4 -> int1: ãã®ã¿ã«ã¿ã«Lv.27ã¯ããã£ã±ãäžæ¹ã§è¿°æãããšããããšã¯ãªã;"
] | [
"fact4 -> int1: ({A}{aa} & ¬{B}{aa});"
] | null | null | [] | null | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã¿ã«ã¿ã«Lv.27ã¯æ¶ããŸãã fact2: ãã®ã¿ãã¿ã«ãLv.17ã¯ããã·ã¥ãã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èšãèš³ããŸãããã©æ
ãã ãããšããããšã¯ãªã fact4: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ããã£ã±ããŠããã¯è¿°æããªã fact5: ãã®ã¿ã«ã¿ã«Lv.27ã¯ä¿è·ãã ; $hypothesis$ = ãã®ã¿ãã¿ã«ãLv.17ã¯æ¶ããŸãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{aa} fact2: {CB}{a} fact3: (x): ({CE}x & ¬{FN}x) fact4: (x): ({A}x & ¬{B}x) fact5: {BS}{aa} ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã¿ãã¿ãLv.23ã¯çããªãããŸãæ匷ããšããããšã¯ãªãããšããããšã¯åã§ãã | ¬(¬{C}{c} & ¬{B}{c}) | fact1: ãã®ãã«ããªLv.8ãå€ããªããã®ãããã®Lv.54ã¯æ匷ã fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.23ãæ匷ããªããã®ãããã®Lv.54ã¯çããªã fact3: ãã®ãã«ããªLv.8ã¯å€ã fact4: ããä»®ã«ãã®ãããã®Lv.54ãæ匷ããšããããã®ã¿ãã¿ãLv.23ã¯çããªããããã¯æ匷ããªã | fact1: {A}{a} -> {B}{b} fact2: {B}{c} -> ¬{C}{b} fact3: {A}{a} fact4: {B}{b} -> (¬{C}{c} & ¬{B}{c}) | [
"fact1 & fact3 -> int1: ãã®ãããã®Lv.54ã¯æ匷ã; int1 & fact4 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}{b}; int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãã«ããªLv.8ãå€ããªããã®ãããã®Lv.54ã¯æ匷ã fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.23ãæ匷ããªããã®ãããã®Lv.54ã¯çããªã fact3: ãã®ãã«ããªLv.8ã¯å€ã fact4: ããä»®ã«ãã®ãããã®Lv.54ãæ匷ããšããããã®ã¿ãã¿ãLv.23ã¯çããªããããã¯æ匷ããªã ; $hypothesis$ = ããã®ã¿ãã¿ãLv.23ã¯çããªãããŸãæ匷ããšããããšã¯ãªãããšããããšã¯åã§ãã ; $proof$ = | fact1 & fact3 -> int1: ãã®ãããã®Lv.54ã¯æ匷ã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: {B}{c} -> ¬{C}{b} fact3: {A}{a} fact4: {B}{b} -> (¬{C}{c} & ¬{B}{c}) ; $hypothesis$ = ¬(¬{C}{c} & ¬{B}{c}) ; $proof$ = | fact1 & fact3 -> int1: {B}{b}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ã
ãŽã¡ã
Lv.6ã¯äžãæããšããããšã¯ãªã | ¬{A}{a} | fact1: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å¶æ¥ããããšããããšã¯ç¢ºãã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯äžãæã fact3: ãããã®ã¿ãã¿ã¡ãLv.78ãè ããªãããã¯ä¹ãã fact4: ä¹ãããªãã¢ã³ã¹ã¿ãŒã¯äžãæããŠéã£ãœã | fact1: (x): {Q}x fact2: (x): {A}x fact3: {D}{b} -> {C}{b} fact4: (x): ¬{C}x -> ({A}x & {B}x) | [
"fact2 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯äžãæã; int1 -> hypothesis;"
] | [
"fact2 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ãœã¡ããœãLv.30ã¯äžãæã | {A}{co} | [
"fact5 -> int2: ãã®ãŽã«ã
ãŽã¡ã
Lv.6ãä¹ãããªããšããã°ãã®ãŽã«ã
ãŽã¡ã
Lv.6ã¯äžãæãããããéã£ãœã;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å¶æ¥ããããšããããšã¯ç¢ºãã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯äžãæã fact3: ãããã®ã¿ãã¿ã¡ãLv.78ãè ããªãããã¯ä¹ãã fact4: ä¹ãããªãã¢ã³ã¹ã¿ãŒã¯äžãæããŠéã£ãœã ; $hypothesis$ = ãã®ãŽã«ã
ãŽã¡ã
Lv.6ã¯äžãæããšããããšã¯ãªã ; $proof$ = | fact2 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯äžãæã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {Q}x fact2: (x): {A}x fact3: {D}{b} -> {C}{b} fact4: (x): ¬{C}x -> ({A}x & {B}x) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact2 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ãã¿ãLv.8ã¯è©°ãŸãæã | {C}{c} | fact1: ãã®ãããã«ãLv.81ãéªéèããšãããšãã®ã¿ãã¿ãLv.8ã¯è©°ãŸãæã fact2: ãããä»®ã«ãã®ãããã«ãLv.81ãåã£ä»ãæããªããšãããšãã®ã¿ãªã¿ãLv.31ã¯éªéèãããŸãç·è£
ããããšããããšã¯çå®ã fact3: ãã®ã¿ãªã¿ãLv.31ã¯é»ã£ãœã fact4: ããã®ãããã«ãLv.81ã¯è©°ãŸãæãããšããããšã¯æãç«ã€ | fact1: {B}{b} -> {C}{c} fact2: ¬{E}{b} -> ({B}{a} & {D}{a}) fact3: {A}{a} fact4: {C}{b} | [] | [] | ããã®ã¿ãã¿ãLv.8ã¯è©°ãŸãæããªãããšããããšã¯æ£ãã | ¬{C}{c} | [] | 6 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãããã«ãLv.81ãéªéèããšãããšãã®ã¿ãã¿ãLv.8ã¯è©°ãŸãæã fact2: ãããä»®ã«ãã®ãããã«ãLv.81ãåã£ä»ãæããªããšãããšãã®ã¿ãªã¿ãLv.31ã¯éªéèãããŸãç·è£
ããããšããããšã¯çå®ã fact3: ãã®ã¿ãªã¿ãLv.31ã¯é»ã£ãœã fact4: ããã®ãããã«ãLv.81ã¯è©°ãŸãæãããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ã¿ãã¿ãLv.8ã¯è©°ãŸãæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{b} -> {C}{c} fact2: ¬{E}{b} -> ({B}{a} & {D}{a}) fact3: {A}{a} fact4: {C}{b} ; $hypothesis$ = {C}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŸã¡ã
ãŸã¡ãLv.58äºä»¶ãèµ·ãã | {C} | fact1: ããŸã¡ã
ãŸã¡ãLv.58äºä»¶ã¯èµ·ãããªãããšããããšã¯æãããšããããšã«é»æ¢ããã fact2: æãããšããããšã¯èµ·ããªããšããããšã¯ããŽããŽã«ãLv.37äºä»¶ãçããªããåæ³ããããšã¯çããªãããšããããšã«ããçãã fact3: ã·ã¡ã
ã·ãªLv.72äºä»¶ã¯æãããšããããšãçãããã fact4: ã·ã¡ã
ã·ãªLv.72äºä»¶ãèµ·ãã | fact1: {B} -> {C} fact2: (¬{E} & ¬{D}) -> ¬{B} fact3: {A} -> {B} fact4: {A} | [
"fact3 & fact4 -> int1: æãããšããããšãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact4 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | ãŸã¡ã
ãŸã¡ãLv.58äºä»¶ã¯èµ·ãããªã | ¬{C} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããŸã¡ã
ãŸã¡ãLv.58äºä»¶ã¯èµ·ãããªãããšããããšã¯æãããšããããšã«é»æ¢ããã fact2: æãããšããããšã¯èµ·ããªããšããããšã¯ããŽããŽã«ãLv.37äºä»¶ãçããªããåæ³ããããšã¯çããªãããšããããšã«ããçãã fact3: ã·ã¡ã
ã·ãªLv.72äºä»¶ã¯æãããšããããšãçãããã fact4: ã·ã¡ã
ã·ãªLv.72äºä»¶ãèµ·ãã ; $hypothesis$ = ãŸã¡ã
ãŸã¡ãLv.58äºä»¶ãèµ·ãã ; $proof$ = | fact3 & fact4 -> int1: æãããšããããšãèµ·ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> {C} fact2: (¬{E} & ¬{D}) -> ¬{B} fact3: {A} -> {B} fact4: {A} ; $hypothesis$ = {C} ; $proof$ = | fact3 & fact4 -> int1: {B}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãããè¡ããããªãããã€è¶ããªããšãããæ®ãæããªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): (¬{AA}x & ¬{AB}x) -> ¬{B}x | fact1: ãããã®ãŸããŸãLv.74ãè¶ãããããã埡çŸãããšããããšã¯ãªããªãããã¯ç®¡çãæããªã fact2: ããããä»®ã«è¡ããããªãããã©è¶ãããªãæ®ãæããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯èª€ã£ãŠããªã fact3: ãåªããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒãæãé£ããšããããšã¯ãªããšãããããã¯ä»èãæãããšããããšã¯æãç«ã€ | fact1: ({AB}{ge} & ¬{IJ}{ge}) -> ¬{GU}{ge} fact2: (Ex): (¬{AA}x & {AB}x) -> ¬{B}x fact3: (x): (¬{IB}x & ¬{CA}x) -> {DD}x | [] | [] | null | null | [] | null | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ãŸããŸãLv.74ãè¶ãããããã埡çŸãããšããããšã¯ãªããªãããã¯ç®¡çãæããªã fact2: ããããä»®ã«è¡ããããªãããã©è¶ãããªãæ®ãæããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯èª€ã£ãŠããªã fact3: ãåªããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒãæãé£ããšããããšã¯ãªããšãããããã¯ä»èãæãããšããããšã¯æãç«ã€ ; $hypothesis$ = ãããè¡ããããªãããã€è¶ããªããšãããæ®ãæããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({AB}{ge} & ¬{IJ}{ge}) -> ¬{GU}{ge} fact2: (Ex): (¬{AA}x & {AB}x) -> ¬{B}x fact3: (x): (¬{IB}x & ¬{CA}x) -> {DD}x ; $hypothesis$ = (Ex): (¬{AA}x & ¬{AB}x) -> ¬{B}x ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã¡ãLv.31ã¯æµãæããšããããšã¯ãªã | ¬{A}{a} | fact1: ãå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æµãæãããšããããšã¯åã§ãããšããããšã¯ãªã | fact1: (x): {A}x | [
"fact1 -> int1: ãå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æµãæãããšããããšã¯åã§ãããšããããšã¯ãªã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æµãæãããšããããšã¯åã§ãããšããããšã¯ãªã ; $hypothesis$ = ãã®ã¿ãã¿ã¡ãLv.31ã¯æµãæããšããããšã¯ãªã ; $proof$ = | fact1 -> int1: ãå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æµãæãããšããããšã¯åã§ãããšããããšã¯ãªã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããªãã®Lv.27ã¯äŒŽãæããšããããšã¯ãªã | ¬{A}{a} | fact1: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯ãã§ã©ããªãããšããããšã¯çå®ã ãšããã䌎ãæããªã | fact1: (x): ¬{B}x -> ¬{A}x | [] | [] | ãã®ããªãã®Lv.27ã¯äŒŽãæããšããããšã¯ãªã | ¬{A}{a} | [
"fact2 -> int1: ãã®ããªãã®Lv.27ããã§ã©ããªããšãããšããã¯äŒŽãæããªã;"
] | 4 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯ãã§ã©ããªãããšããããšã¯çå®ã ãšããã䌎ãæããªã ; $hypothesis$ = ãã®ããªãã®Lv.27ã¯äŒŽãæããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{B}x -> ¬{A}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽã¡ãLv.45ã¯é»è²ã | {A}{a} | fact1: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãæèªããªããªãããã¯é»è²ããªããŠãã®äžå€©çããããšããããšã¯ãªã fact2: ããããã®ãŽããŽãLv.10ã¯éãç¡ããŠãã°ãã£ãããšãããããã®ãŽããŽã¡ãLv.45ã¯æèªããªãããšããããšã¯ééãã§ãªã | fact1: (x): ¬{C}x -> (¬{A}x & ¬{B}x) fact2: ({D}{b} & {E}{b}) -> ¬{C}{a} | [] | [] | ãã®ãŽããŽã¡ãLv.45ã¯é»è²ããªã | ¬{A}{a} | [
"fact4 -> int1: ããããã®ãŽããŽã¡ãLv.45ã¯æèªããªããšãããšãããã¯é»è²ããªããŠå ããŠå€©çããããªãããšããããšã¯äºå®ã ;"
] | 6 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãæèªããªããªãããã¯é»è²ããªããŠãã®äžå€©çããããšããããšã¯ãªã fact2: ããããã®ãŽããŽãLv.10ã¯éãç¡ããŠãã°ãã£ãããšãããããã®ãŽããŽã¡ãLv.45ã¯æèªããªãããšããããšã¯ééãã§ãªã ; $hypothesis$ = ãã®ãŽããŽã¡ãLv.45ã¯é»è²ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{C}x -> (¬{A}x & ¬{B}x) fact2: ({D}{b} & {E}{b}) -> ¬{C}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãªã¿ã«ã
Lv.17ã¯ç©æ¬²ãã | {B}{b} | fact1: ãã®ãœã«ã
ãœã®Lv.55ã¯æã¡æã fact2: é¢æ ãããªãã¢ã³ã¹ã¿ãŒã¯æã¡æããŠæŽã«ç©æ¬²ãã fact3: ããä»®ã«ãã®ãœã«ã
ãœã®Lv.55ã¯æã¡æããªãã°ããã®ã¿ãªã¿ã«ã
Lv.17ã¯æžãããšããããšã¯ãªãããã©æŒã売ãããããšããããšã¯æãç«ããªã fact4: ããã®ã¿ãªã¿ã«ã
Lv.17ã¯æžããªãããããæŒã売ãããããšããããšã¯åã§ãããªãã°ãã®ã¿ãªã¿ã«ã
Lv.17ã¯ç©æ¬²ãã | fact1: {A}{a} fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: {A}{a} -> ¬(¬{AA}{b} & {AB}{b}) fact4: ¬(¬{AA}{b} & {AB}{b}) -> {B}{b} | [
"fact3 & fact1 -> int1: ããã®ã¿ãªã¿ã«ã
Lv.17ã¯æžããªãããã©ããã¯æŒã売ãããããšããããšã¯æãç«ããªã; int1 & fact4 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: ¬(¬{AA}{b} & {AB}{b}); int1 & fact4 -> hypothesis;"
] | ãã®ã¿ã«ã¿ã¡ã
Lv.44ã¯æã¡æã | {A}{fs} | [
"fact5 -> int2: ä»®ã«ãã®ã¿ã«ã¿ã¡ã
Lv.44ãé¢æ ãããªããšããããã®ã¿ã«ã¿ã¡ã
Lv.44ã¯æã¡æãããã®äžç©æ¬²ãã;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãœã«ã
ãœã®Lv.55ã¯æã¡æã fact2: é¢æ ãããªãã¢ã³ã¹ã¿ãŒã¯æã¡æããŠæŽã«ç©æ¬²ãã fact3: ããä»®ã«ãã®ãœã«ã
ãœã®Lv.55ã¯æã¡æããªãã°ããã®ã¿ãªã¿ã«ã
Lv.17ã¯æžãããšããããšã¯ãªãããã©æŒã売ãããããšããããšã¯æãç«ããªã fact4: ããã®ã¿ãªã¿ã«ã
Lv.17ã¯æžããªãããããæŒã売ãããããšããããšã¯åã§ãããªãã°ãã®ã¿ãªã¿ã«ã
Lv.17ã¯ç©æ¬²ãã ; $hypothesis$ = ãã®ã¿ãªã¿ã«ã
Lv.17ã¯ç©æ¬²ãã ; $proof$ = | fact3 & fact1 -> int1: ããã®ã¿ãªã¿ã«ã
Lv.17ã¯æžããªãããã©ããã¯æŒã売ãããããšããããšã¯æãç«ããªã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: {A}{a} -> ¬(¬{AA}{b} & {AB}{b}) fact4: ¬(¬{AA}{b} & {AB}{b}) -> {B}{b} ; $hypothesis$ = {B}{b} ; $proof$ = | fact3 & fact1 -> int1: ¬(¬{AA}{b} & {AB}{b}); int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸã«ã
ãŸã«Lv.21ã¯èå³æ·±ããªã | ¬{C}{b} | fact1: ãã®ã·ãªã·ãLv.57ã¯èŠªããã fact2: ãã®ã·ãªã·ãLv.57ã¯å¡©ã£èŸããªã fact3: ãã®ã·ãªã·ãLv.57ã¯èŠªããããããŸãã«åŠå®ãé£ã fact4: ä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯å¿å®ããŠããŸãã«ç©æ²ããããšããããšã¯åã ãšããã°ãç©æ²ãããªãããšããããšã¯æãç«ã€ fact5: ä»®ã«ãã®ã·ãªã·ãLv.57ãåŠå®ãé£ããªãã°ãã®ãŸã«ã
ãŸã«Lv.21ã¯èå³æ·±ã fact6: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯èŠªããããããã¯åŠå®ãé£ãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ãŠã°èå³æ·±ããªã fact7: ãã®ã·ãªã·ãLv.57ã¯å¡©ã£èŸããªããšãããããã®ã·ãªã·ãLv.57ã¯å¿å®ããç©æ²ããããšããããšã¯èª€ã£ãŠãã | fact1: {A}{a} fact2: ¬{G}{a} fact3: ({A}{a} & {B}{a}) fact4: (x): ¬({F}x & {E}x) -> ¬{E}x fact5: {B}{a} -> {C}{b} fact6: (x): ({A}x v {B}x) -> ¬{C}x fact7: ¬{G}{a} -> ¬({F}{a} & {E}{a}) | [
"fact3 -> int1: ãã®ã·ãªã·ãLv.57ã¯åŠå®ãé£ã; int1 & fact5 -> hypothesis;"
] | [
"fact3 -> int1: {B}{a}; int1 & fact5 -> hypothesis;"
] | ãã®ãŸã«ã
ãŸã«Lv.21ã¯èå³æ·±ããªã | ¬{C}{b} | [
"fact9 -> int2: ãã®ãŸã«ã
ãŸã«Lv.21ã芪ãããããããã¯åŠå®ãé£ããšããããã®ãŸã«ã
ãŸã«Lv.21ã¯èå³æ·±ããšããããšã¯ãªã; fact10 -> int3: ããã®ã·ãªã·ãLv.57ã¯å¿å®ããŠããã¯ç©æ²ããããšããããšã¯æãç«ããªããªãã°ããã¯ç©æ²ãããªã; fact11 & fact8 -> int4: ããã®ã·ãªã·ãLv.57ã¯å¿å®ãããŸãç©æ²ããããšããããšã¯èª€ã£ãŠãã; int3 & int4 -> int5: ãã®ã·ãªã·ãLv.57ã¯ç©æ²ãããªã; int5 -> int6: ãç©æ²ãããªããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ãªã·ãLv.57ã¯èŠªããã fact2: ãã®ã·ãªã·ãLv.57ã¯å¡©ã£èŸããªã fact3: ãã®ã·ãªã·ãLv.57ã¯èŠªããããããŸãã«åŠå®ãé£ã fact4: ä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯å¿å®ããŠããŸãã«ç©æ²ããããšããããšã¯åã ãšããã°ãç©æ²ãããªãããšããããšã¯æãç«ã€ fact5: ä»®ã«ãã®ã·ãªã·ãLv.57ãåŠå®ãé£ããªãã°ãã®ãŸã«ã
ãŸã«Lv.21ã¯èå³æ·±ã fact6: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯èŠªããããããã¯åŠå®ãé£ãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ãŠã°èå³æ·±ããªã fact7: ãã®ã·ãªã·ãLv.57ã¯å¡©ã£èŸããªããšãããããã®ã·ãªã·ãLv.57ã¯å¿å®ããç©æ²ããããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = ãã®ãŸã«ã
ãŸã«Lv.21ã¯èå³æ·±ããªã ; $proof$ = | fact3 -> int1: ãã®ã·ãªã·ãLv.57ã¯åŠå®ãé£ã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: ¬{G}{a} fact3: ({A}{a} & {B}{a}) fact4: (x): ¬({F}x & {E}x) -> ¬{E}x fact5: {B}{a} -> {C}{b} fact6: (x): ({A}x v {B}x) -> ¬{C}x fact7: ¬{G}{a} -> ¬({F}{a} & {E}{a}) ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact3 -> int1: {B}{a}; int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŸã«ããŸãLv.35ã¯æãå§ãããããã¯ãã£ããªãããšããããšã¯ééãã§ãã | ¬({C}{c} & {D}{c}) | fact1: ããããšããã¢ã³ã¹ã¿ãŒã¯é·ã£ãããããªããšãããšãæãå§ããããã£ããªãããšããããšã¯çå®ã§ãªã fact2: ä»®ã«ããã®ãã«ãããLv.40ã¯ãã£ããªãããšããããšã¯æ¬åœã ãšããã°ãã®ãŸã«ããŸãLv.35ã¯é·ã£ãããã fact3: ãã®ãã«ãããLv.40ã¯é·ã£ãããããããã¯å¯ç¬ããããŸãã¯ã©ã¡ããã fact4: ãã®ãŸã«ããŸãLv.35ã¯ãã£ããªã fact5: ãããããã®ãã«ãããLv.40ã¯å¯ç¬ããããšããããšã¯æãç«ã€ãšããããã®ãŸã«ããŸãLv.35ã¯æãå§ãã fact6: ãããã®ãã«ãããLv.40ãé·ã£ãããããšãããšãã®ãŸã«ããŸãLv.35ã¯æãå§ãã | fact1: (x): ¬{A}x -> ¬({C}x & {D}x) fact2: {D}{a} -> {A}{c} fact3: ({A}{a} v {B}{a}) fact4: {D}{c} fact5: {B}{a} -> {C}{c} fact6: {A}{a} -> {C}{c} | [
"fact3 & fact6 & fact5 -> int1: ãã®ãŸã«ããŸãLv.35ã¯æãå§ãã; int1 & fact4 -> hypothesis;"
] | [
"fact3 & fact6 & fact5 -> int1: {C}{c}; int1 & fact4 -> hypothesis;"
] | ããã®ãŸã«ããŸãLv.35ã¯æãå§ãããããã¯ãã£ããªãããšããããšã¯ééãã§ãã | ¬({C}{c} & {D}{c}) | [
"fact7 -> int2: ãããã®ãŸã«ããŸãLv.35ã¯é·ã£ãããããªããšããã°ããã®ãŸã«ããŸãLv.35ã¯æãå§ããããã£ããªãããšããããšã¯åã§ãã;"
] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããšããã¢ã³ã¹ã¿ãŒã¯é·ã£ãããããªããšãããšãæãå§ããããã£ããªãããšããããšã¯çå®ã§ãªã fact2: ä»®ã«ããã®ãã«ãããLv.40ã¯ãã£ããªãããšããããšã¯æ¬åœã ãšããã°ãã®ãŸã«ããŸãLv.35ã¯é·ã£ãããã fact3: ãã®ãã«ãããLv.40ã¯é·ã£ãããããããã¯å¯ç¬ããããŸãã¯ã©ã¡ããã fact4: ãã®ãŸã«ããŸãLv.35ã¯ãã£ããªã fact5: ãããããã®ãã«ãããLv.40ã¯å¯ç¬ããããšããããšã¯æãç«ã€ãšããããã®ãŸã«ããŸãLv.35ã¯æãå§ãã fact6: ãããã®ãã«ãããLv.40ãé·ã£ãããããšãããšãã®ãŸã«ããŸãLv.35ã¯æãå§ãã ; $hypothesis$ = ããã®ãŸã«ããŸãLv.35ã¯æãå§ãããããã¯ãã£ããªãããšããããšã¯ééãã§ãã ; $proof$ = | fact3 & fact6 & fact5 -> int1: ãã®ãŸã«ããŸãLv.35ã¯æãå§ãã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬({C}x & {D}x) fact2: {D}{a} -> {A}{c} fact3: ({A}{a} v {B}{a}) fact4: {D}{c} fact5: {B}{a} -> {C}{c} fact6: {A}{a} -> {C}{c} ; $hypothesis$ = ¬({C}{c} & {D}{c}) ; $proof$ = | fact3 & fact6 & fact5 -> int1: {C}{c}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | æ¯ã
ãããšããããšã¯çºçããªã | ¬{B} | fact1: ããä»®ã«ã¿ãã¿ãLv.47äºä»¶ãçããªããšãããšæ¯ã
ãããšããããšã§ã¯ãªãå
¥ãèŸããšããããšã¯çºçãã fact2: ç®èã£ãœããšããããšãçºçãã fact3: æ¯ã
ãããšããããšã¯ç®èã£ãœããšããããšããã£ããã | fact1: ¬{D} -> (¬{B} & {C}) fact2: {A} fact3: {A} -> {B} | [
"fact2 -> int1: ç®èã£ãœããšããããšãçºçãã; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact3 -> hypothesis;"
] | ãŽããŽã¡ã
Lv.79äºä»¶ãèµ·ãã | {BS} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ã¿ãã¿ãLv.47äºä»¶ãçããªããšãããšæ¯ã
ãããšããããšã§ã¯ãªãå
¥ãèŸããšããããšã¯çºçãã fact2: ç®èã£ãœããšããããšãçºçãã fact3: æ¯ã
ãããšããããšã¯ç®èã£ãœããšããããšããã£ããã ; $hypothesis$ = æ¯ã
ãããšããããšã¯çºçããªã ; $proof$ = | fact2 -> int1: ç®èã£ãœããšããããšãçºçãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{D} -> (¬{B} & {C}) fact2: {A} fact3: {A} -> {B} ; $hypothesis$ = ¬{B} ; $proof$ = | fact2 -> int1: {A}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãé Œã¿èŸŒãããšãçããããšããããšã¯æãç«ã€ | {C} | fact1: ãé Œã¿èŸŒãããšãçãããæŽã«å¹³è¡ããããšãçºçããããšããããšã¯ããœããœãLv.80äºä»¶ã¯çºçããªãããšããããšã«ããçºçãã fact2: ãœããœãLv.80äºä»¶ãçºçãã fact3: æ ¹æ°åŒ·ããšããããšã¯çºçããªããšããããšã¯ããœã¡ã
ãœãLv.75äºä»¶ããã³éæç¡ããšããããšäž¡æ¹ãšããçºçããããšããããšã«ããçãã fact4: ãå¹³è¡ããããšãšãœããœãLv.80äºä»¶ãèµ·ããããšããããšã¯ãé Œã¿èŸŒãããšã¯èµ·ããªãããšããããšãçãããã fact5: å¹³è¡ããããšãçãã | fact1: ¬{B} -> ({C} & {A}) fact2: {B} fact3: ({DS} & {EL}) -> ¬{DJ} fact4: ({A} & {B}) -> ¬{C} fact5: {A} | [
"fact5 & fact2 -> int1: ãå¹³è¡ããããšããã³ãœããœãLv.80äºä»¶ãèµ·ããããšããããšã¯æãç«ã€; int1 & fact4 -> hypothesis;"
] | [
"fact5 & fact2 -> int1: ({A} & {B}); int1 & fact4 -> hypothesis;"
] | ãé Œã¿èŸŒãããšãçããããšããããšã¯æãç«ã€ | {C} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãé Œã¿èŸŒãããšãçãããæŽã«å¹³è¡ããããšãçºçããããšããããšã¯ããœããœãLv.80äºä»¶ã¯çºçããªãããšããããšã«ããçºçãã fact2: ãœããœãLv.80äºä»¶ãçºçãã fact3: æ ¹æ°åŒ·ããšããããšã¯çºçããªããšããããšã¯ããœã¡ã
ãœãLv.75äºä»¶ããã³éæç¡ããšããããšäž¡æ¹ãšããçºçããããšããããšã«ããçãã fact4: ãå¹³è¡ããããšãšãœããœãLv.80äºä»¶ãèµ·ããããšããããšã¯ãé Œã¿èŸŒãããšã¯èµ·ããªãããšããããšãçãããã fact5: å¹³è¡ããããšãçãã ; $hypothesis$ = ãé Œã¿èŸŒãããšãçããããšããããšã¯æãç«ã€ ; $proof$ = | fact5 & fact2 -> int1: ãå¹³è¡ããããšããã³ãœããœãLv.80äºä»¶ãèµ·ããããšããããšã¯æãç«ã€; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B} -> ({C} & {A}) fact2: {B} fact3: ({DS} & {EL}) -> ¬{DJ} fact4: ({A} & {B}) -> ¬{C} fact5: {A} ; $hypothesis$ = {C} ; $proof$ = | fact5 & fact2 -> int1: ({A} & {B}); int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãã¡ããã¡ã
Lv.20ã¯æ°ãŸããããšããããšã¯ç¢ºãã§ãã | {C}{a} | fact1: ããããã®ãã¡ããã¡ã
Lv.20ãéŠå°Ÿäžè²«ãããšãããšæ°ãŸãã fact2: ãããã®ãŸã«ãŸãLv.39ã¯ç±ããªããªãã°ããã®ãããã¡ãLv.8ã¯éŠå°Ÿäžè²«ããããããã¯ããã¯å¿çœ®ãç¡ãããããã¯äž¡æ¹ã ããšããããšã¯äºå®ãšç°ãªã fact3: ä»®ã«ããã®ãããã¡ãLv.8ã¯éŠå°Ÿäžè²«ããããŸãã¯å¿çœ®ãç¡ãããšããããšã¯åœãªããã®ãã«ãããLv.43ã¯å³æ°ç¡ããªã | fact1: {B}{a} -> {C}{a} fact2: ¬{E}{d} -> ¬({B}{c} v {D}{c}) fact3: ¬({B}{c} v {D}{c}) -> ¬{A}{b} | [] | [] | ãã®ãã¡ããã¡ã
Lv.20ã¯æ°ãŸãããªã | ¬{C}{a} | [] | 7 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ãã¡ããã¡ã
Lv.20ãéŠå°Ÿäžè²«ãããšãããšæ°ãŸãã fact2: ãããã®ãŸã«ãŸãLv.39ã¯ç±ããªããªãã°ããã®ãããã¡ãLv.8ã¯éŠå°Ÿäžè²«ããããããã¯ããã¯å¿çœ®ãç¡ãããããã¯äž¡æ¹ã ããšããããšã¯äºå®ãšç°ãªã fact3: ä»®ã«ããã®ãããã¡ãLv.8ã¯éŠå°Ÿäžè²«ããããŸãã¯å¿çœ®ãç¡ãããšããããšã¯åœãªããã®ãã«ãããLv.43ã¯å³æ°ç¡ããªã ; $hypothesis$ = ããã®ãã¡ããã¡ã
Lv.20ã¯æ°ãŸããããšããããšã¯ç¢ºãã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} -> {C}{a} fact2: ¬{E}{d} -> ¬({B}{c} v {D}{c}) fact3: ¬({B}{c} v {D}{c}) -> ¬{A}{b} ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã·ã¡ãã·ã«ã
Lv.31ã¯å¡ãæããŠããã¯æ誊ããããšããããšã¯äºå®ãšç°ãªã | ¬({A}{a} & {C}{a}) | fact1: ãã®ã·ã¡ãã·ã«ã
Lv.31ã¯æ誊ãã fact2: ãã®ã·ã¡ãã·ã«ã
Lv.31ã¯å¡ãæããããã¯ééç¡ã | fact1: {C}{a} fact2: ({A}{a} & {B}{a}) | [
"fact2 -> int1: ãã®ã·ã¡ãã·ã«ã
Lv.31ã¯å¡ãæã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ã·ã¡ãã·ã«ã
Lv.31ã¯æ誊ãã fact2: ãã®ã·ã¡ãã·ã«ã
Lv.31ã¯å¡ãæããããã¯ééç¡ã ; $hypothesis$ = ããã®ã·ã¡ãã·ã«ã
Lv.31ã¯å¡ãæããŠããã¯æ誊ããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact2 -> int1: ãã®ã·ã¡ãã·ã«ã
Lv.31ã¯å¡ãæã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} fact2: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬({A}{a} & {C}{a}) ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | éœãç¶ããããšãçãããããã«é€é¬Œã£ãœããšããããšãèµ·ãã | ({A} & {B}) | fact1: ã¿ã«ãã¿ãLv.87äºä»¶ãèµ·ããããŸããœããœãLv.15äºä»¶ãçºçãã fact2: é€é¬Œã£ãœããšããããšã¯èµ·ããªããšããããšã¯ãã®ãã«ãLv.7äºä»¶ããã³éœãç¶ããããšãçãããæã fact3: éœãç¶ããããšãèµ·ãã fact4: ãããã¿ãã¿ã¡ãLv.64äºä»¶ã¯çããªããšããã°ãéœãç¶ããããšããã³é€é¬Œã£ãœããšããããšãèµ·ããããšããããšã¯æãç«ããªã fact5: ç Žãé£ããšããããšãçºçãã fact6: é€é¬Œã£ãœããšããããšãçãã | fact1: ({HU} & {HF}) fact2: ¬{B} -> ({FK} & {A}) fact3: {A} fact4: ¬{C} -> ¬({A} & {B}) fact5: {AO} fact6: {B} | [
"fact3 -> int1: éœãç¶ããããšãèµ·ãã; int1 & fact6 -> hypothesis;"
] | [
"fact3 -> int1: {A}; int1 & fact6 -> hypothesis;"
] | ãã®ãã«ãLv.7äºä»¶ãèµ·ãã | {FK} | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã¿ã«ãã¿ãLv.87äºä»¶ãèµ·ããããŸããœããœãLv.15äºä»¶ãçºçãã fact2: é€é¬Œã£ãœããšããããšã¯èµ·ããªããšããããšã¯ãã®ãã«ãLv.7äºä»¶ããã³éœãç¶ããããšãçãããæã fact3: éœãç¶ããããšãèµ·ãã fact4: ãããã¿ãã¿ã¡ãLv.64äºä»¶ã¯çããªããšããã°ãéœãç¶ããããšããã³é€é¬Œã£ãœããšããããšãèµ·ããããšããããšã¯æãç«ããªã fact5: ç Žãé£ããšããããšãçºçãã fact6: é€é¬Œã£ãœããšããããšãçãã ; $hypothesis$ = éœãç¶ããããšãçãããããã«é€é¬Œã£ãœããšããããšãèµ·ãã ; $proof$ = | fact3 -> int1: éœãç¶ããããšãèµ·ãã; int1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ({HU} & {HF}) fact2: ¬{B} -> ({FK} & {A}) fact3: {A} fact4: ¬{C} -> ¬({A} & {B}) fact5: {AO} fact6: {B} ; $hypothesis$ = ({A} & {B}) ; $proof$ = | fact3 -> int1: {A}; int1 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãã·ãLv.30ã¯çæž©ãããããã«åŸ¡å®ã | ({B}{a} & {C}{a}) | fact1: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯å·ãè¡ãªããªããªããçæž©ãããããã埡å®ãããšããããšã¯ç¢ºãã§ãªã fact2: ãã®ã¿ã«ã¿ãLv.3ã¯çŸããé£ããªã fact3: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ä¹³èããªããšãããããæããªããå·ãè¡ãªããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯ç¢ºãã ããšããããšã¯åã§ãã fact4: ããããçŸããé£ããªããã¢ã³ã¹ã¿ãŒããããšãããšãã®ãœããœã«ãLv.15ã¯ä¹³èããªãäžæ¹ã§çŸããé£ã fact5: ãã®ã·ãã·ãLv.30ã¯å·ãè¡ãªããããããããã¯çæž©ãã fact6: ããã®ã·ãã·ãLv.30ã¯å·ãè¡ãªããããšããããšã¯æãç«ã€ | fact1: (x): ¬{A}x -> ¬({B}x & {C}x) fact2: ¬{F}{c} fact3: (x): ¬{D}x -> ¬(¬{E}x v {A}x) fact4: (x): ¬{F}x -> (¬{D}{b} & {F}{b}) fact5: ({A}{a} & {B}{a}) fact6: {A}{a} | [
"fact5 -> int1: ãã®ã·ãã·ãLv.30ã¯çæž©ãã;"
] | [
"fact5 -> int1: {B}{a};"
] | ããã®ã·ãã·ãLv.30ã¯çæž©ãããŠå ããŠåŸ¡å®ãããšããããšã¯åœã | ¬({B}{a} & {C}{a}) | [
"fact8 -> int2: ãããã®ã·ãã·ãLv.30ã¯å·ãè¡ãªããªããšãããšããçæž©ãããããã«åŸ¡å®ãããšããããšã¯æ¬åœã ããšããããšã¯èª€ã£ãŠãã; fact9 -> int3: ãããä»®ã«ãã®ãœããœã«ãLv.15ã¯ä¹³èããªããªãããã®ãœããœã«ãLv.15ã¯æããšããããšã¯ãªããããã¯å·ãè¡ãªããããããã¯äž¡æ¹ãšãã ããšããããšã¯ééã£ãŠããããšããããšã¯æ£ãã; fact7 -> int4: ãçŸããé£ããªããã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact10 -> int5: ãã®ãœããœã«ãLv.15ã¯ä¹³èããšããããšã¯ãªãäžæ¹ã§ããã¯çŸããé£ã; int5 -> int6: ãã®ãœããœã«ãLv.15ã¯ä¹³èããªã; int3 & int6 -> int7: ããã®ãœããœã«ãLv.15ã¯æããªãããããã¯ããã¯å·ãè¡ãªããããŸãã¯ã©ã¡ããã ããšããããšã¯èª€ãã ; int7 -> int8: ããæããªããå·ãè¡ãªããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯å·ãè¡ãªããªããªããçæž©ãããããã埡å®ãããšããããšã¯ç¢ºãã§ãªã fact2: ãã®ã¿ã«ã¿ãLv.3ã¯çŸããé£ããªã fact3: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ä¹³èããªããšãããããæããªããå·ãè¡ãªããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯ç¢ºãã ããšããããšã¯åã§ãã fact4: ããããçŸããé£ããªããã¢ã³ã¹ã¿ãŒããããšãããšãã®ãœããœã«ãLv.15ã¯ä¹³èããªãäžæ¹ã§çŸããé£ã fact5: ãã®ã·ãã·ãLv.30ã¯å·ãè¡ãªããããããããã¯çæž©ãã fact6: ããã®ã·ãã·ãLv.30ã¯å·ãè¡ãªããããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ã·ãã·ãLv.30ã¯çæž©ãããããã«åŸ¡å®ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ¬({B}x & {C}x) fact2: ¬{F}{c} fact3: (x): ¬{D}x -> ¬(¬{E}x v {A}x) fact4: (x): ¬{F}x -> (¬{D}{b} & {F}{b}) fact5: ({A}{a} & {B}{a}) fact6: {A}{a} ; $hypothesis$ = ({B}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã«ãœã«Lv.11ã¯çç®åºæ¥ã | {C}{b} | fact1: ããããã®ã·ãã·ãLv.33ãæããããšããããã®ãœã«ãœã«Lv.11ã¯çç®åºæ¥ã fact2: ããããã®ã·ãã·ãLv.33ãæããããšããããšã¯ãªããšããã°ãã®ãœã«ãœã«Lv.11ã¯çç®åºæ¥ãªãäžæ¹ã§æãã fact3: ããä»®ã«ãã®ã·ãã·ãLv.33ãæãããšãããšãã®ã·ãã·ãLv.33ã¯æããã fact4: ãã®ã·ãã·ãLv.33ã¯æãã | fact1: {B}{a} -> {C}{b} fact2: ¬{B}{a} -> (¬{C}{b} & {A}{b}) fact3: {A}{a} -> {B}{a} fact4: {A}{a} | [
"fact3 & fact4 -> int1: ãã®ã·ãã·ãLv.33ã¯æããã; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact4 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ãœã«ãœã«Lv.11ã¯çç®åºæ¥ãªã | ¬{C}{b} | [] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ã·ãã·ãLv.33ãæããããšããããã®ãœã«ãœã«Lv.11ã¯çç®åºæ¥ã fact2: ããããã®ã·ãã·ãLv.33ãæããããšããããšã¯ãªããšããã°ãã®ãœã«ãœã«Lv.11ã¯çç®åºæ¥ãªãäžæ¹ã§æãã fact3: ããä»®ã«ãã®ã·ãã·ãLv.33ãæãããšãããšãã®ã·ãã·ãLv.33ã¯æããã fact4: ãã®ã·ãã·ãLv.33ã¯æãã ; $hypothesis$ = ãã®ãœã«ãœã«Lv.11ã¯çç®åºæ¥ã ; $proof$ = | fact3 & fact4 -> int1: ãã®ã·ãã·ãLv.33ã¯æããã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {C}{b} fact2: ¬{B}{a} -> (¬{C}{b} & {A}{b}) fact3: {A}{a} -> {B}{a} fact4: {A}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact3 & fact4 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã¡ã
ãœãLv.46ã¯ããŒãããªã | ¬{C}{b} | fact1: ãã®ãœã¡ã
ãœãLv.41ã¯æšã fact2: ãã®ãŸããŸã®Lv.37ãæšããªãããã¯é¢ããç¶ãã fact3: ãã®ãŸããŸã®Lv.37ã¯æãã fact4: ããããã®ãœã¡ã
ãœãLv.41ãè©®ç¡ãããããæšããšããã°ãã®ãœã¡ã
ãœãLv.46ã¯ããŒãããªã fact5: ãã®ãœã¡ã
ãœãLv.41ã¯è©®ç¡ã fact6: ããããã®ãœã¡ã
ãœãLv.41ãæçãããã©æãããªããšããããã®ãœã¡ã
ãœãLv.46ã¯æšããªã fact7: ãæšããªãã¢ã³ã¹ã¿ãŒã¯ããŒãããè©®ç¡ãããšããããšã¯æãç«ã€ | fact1: {B}{a} fact2: {B}{cb} -> {BR}{cb} fact3: {E}{cb} fact4: ({A}{a} & {B}{a}) -> ¬{C}{b} fact5: {A}{a} fact6: ({D}{a} & ¬{E}{a}) -> ¬{B}{b} fact7: (x): ¬{B}x -> ({C}x & {A}x) | [
"fact5 & fact1 -> int1: ãã®ãœã¡ã
ãœãLv.41ã¯è©®ç¡ãããã€æšã; int1 & fact4 -> hypothesis;"
] | [
"fact5 & fact1 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> hypothesis;"
] | ãã®ãŸããŸã®Lv.37ã¯æçããŠé¢ããç¶ãã | ({D}{cb} & {BR}{cb}) | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãœã¡ã
ãœãLv.41ã¯æšã fact2: ãã®ãŸããŸã®Lv.37ãæšããªãããã¯é¢ããç¶ãã fact3: ãã®ãŸããŸã®Lv.37ã¯æãã fact4: ããããã®ãœã¡ã
ãœãLv.41ãè©®ç¡ãããããæšããšããã°ãã®ãœã¡ã
ãœãLv.46ã¯ããŒãããªã fact5: ãã®ãœã¡ã
ãœãLv.41ã¯è©®ç¡ã fact6: ããããã®ãœã¡ã
ãœãLv.41ãæçãããã©æãããªããšããããã®ãœã¡ã
ãœãLv.46ã¯æšããªã fact7: ãæšããªãã¢ã³ã¹ã¿ãŒã¯ããŒãããè©®ç¡ãããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ãœã¡ã
ãœãLv.46ã¯ããŒãããªã ; $proof$ = | fact5 & fact1 -> int1: ãã®ãœã¡ã
ãœãLv.41ã¯è©®ç¡ãããã€æšã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} fact2: {B}{cb} -> {BR}{cb} fact3: {E}{cb} fact4: ({A}{a} & {B}{a}) -> ¬{C}{b} fact5: {A}{a} fact6: ({D}{a} & ¬{E}{a}) -> ¬{B}{b} fact7: (x): ¬{B}x -> ({C}x & {A}x) ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact5 & fact1 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãçæãããšããããšãèµ·ããããšããããšã¯æ¬åœã§ãã | {C} | fact1: ã¿ã¡ãã¿ã«Lv.8äºä»¶ãèµ·ãããããã«å¯æããããšããããšãèµ·ãã fact2: ä»®ã«ã·ã«ãã·ã«ãLv.81äºä»¶ãšã·ãã·ã«Lv.38äºä»¶äž¡æ¹ãçºçãããªãçæãããšããããšã¯èµ·ãããªã fact3: ã·ã«ãã·ã«ãLv.81äºä»¶ãèµ·ãã fact4: ãæå³ãããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact5: æ
ãšããããšããããšãšåœŒããããšããããšã©ã¡ãããçºçãã fact6: å±ãããšããããšãçºçãã | fact1: ({JD} & {HH}) fact2: ({A} & {B}) -> ¬{C} fact3: {A} fact4: {DL} fact5: ({FN} & {CU}) fact6: {CO} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ã¿ã¡ãã¿ã«Lv.8äºä»¶ãèµ·ãããããã«å¯æããããšããããšãèµ·ãã fact2: ä»®ã«ã·ã«ãã·ã«ãLv.81äºä»¶ãšã·ãã·ã«Lv.38äºä»¶äž¡æ¹ãçºçãããªãçæãããšããããšã¯èµ·ãããªã fact3: ã·ã«ãã·ã«ãLv.81äºä»¶ãèµ·ãã fact4: ãæå³ãããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact5: æ
ãšããããšããããšãšåœŒããããšããããšã©ã¡ãããçºçãã fact6: å±ãããšããããšãçºçãã ; $hypothesis$ = ãçæãããšããããšãèµ·ããããšããããšã¯æ¬åœã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({JD} & {HH}) fact2: ({A} & {B}) -> ¬{C} fact3: {A} fact4: {DL} fact5: ({FN} & {CU}) fact6: {CO} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸã¡ãLv.59ã¯æãæã | {B}{a} | fact1: ä»®ã«ãã®ãŸããŸã¡ãLv.59ãæãããããªãã°ãã®ãŸããŸã¡ãLv.59ã¯æãæã fact2: ãã®ãŸããŸã¡ãLv.59ã¯æãããã fact3: ãããããã®ãŽããŽã«ã
Lv.64ã¯æããããäžæ¹ã§æãæããªãããšããããšã¯æãç«ãŠã°ãã®ãŸããŸã¡ãLv.59ã¯æãæããªã fact4: æã¡é£ãã¢ã³ã¹ã¿ãŒã¯æãããã | fact1: {A}{a} -> {B}{a} fact2: {A}{a} fact3: ({A}{b} & ¬{B}{b}) -> ¬{B}{a} fact4: (x): {C}x -> {A}x | [
"fact2 -> int1: ãã®ãŸããŸã¡ãLv.59ã¯æãããã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ãŸããŸã¡ãLv.59ã¯æãæããªã | ¬{B}{a} | [] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãŸããŸã¡ãLv.59ãæãããããªãã°ãã®ãŸããŸã¡ãLv.59ã¯æãæã fact2: ãã®ãŸããŸã¡ãLv.59ã¯æãããã fact3: ãããããã®ãŽããŽã«ã
Lv.64ã¯æããããäžæ¹ã§æãæããªãããšããããšã¯æãç«ãŠã°ãã®ãŸããŸã¡ãLv.59ã¯æãæããªã fact4: æã¡é£ãã¢ã³ã¹ã¿ãŒã¯æãããã ; $hypothesis$ = ãã®ãŸããŸã¡ãLv.59ã¯æãæã ; $proof$ = | fact2 -> int1: ãã®ãŸããŸã¡ãLv.59ã¯æãããã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: {A}{a} fact3: ({A}{b} & ¬{B}{b}) -> ¬{B}{a} fact4: (x): {C}x -> {A}x ; $hypothesis$ = {B}{a} ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
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