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â | original_tree_steps
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int64 0
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ãã®ãœããœã«ã
Lv.88ã¯äžãæãã誀解ãæã | ({A}{a} & {C}{a}) | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¯èŠªããããšããããšã¯ãªã fact2: ãã®ãœããœã«ã
Lv.88ã¯èª€è§£ãæã fact3: ãã®ãœããœã«ã
Lv.88ã¯äžãæãããããããã¯æã fact4: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯æããªããšããã°ãäžãæãã誀解ãæãããšããããšã¯äºå®ã§ãªã fact5: æ¯èŠªããããªãã¢ã³ã¹ã¿ãŒã¯è©Šåããããããã¯åŸ¡å¯ããªãããããã¯äž¡æ¹ã§ãã fact6: ããããã¢ã³ã¹ã¿ãŒã¯æå£ããªããªããè¶ããããããããã¯ã±ãã±ããããšããããšã¯ãªãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªã | fact1: (x): ¬{G}x fact2: {C}{a} fact3: ({A}{a} & {B}{a}) fact4: (x): ¬{B}x -> ¬({A}x & {C}x) fact5: (x): ¬{G}x -> ({I}x v ¬{H}x) fact6: (x): ¬{F}x -> ¬({D}x v ¬{E}x) | [
"fact3 -> int1: ãã®ãœããœã«ã
Lv.88ã¯äžãæã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ããã®ãœããœã«ã
Lv.88ã¯äžãæããæŽã«èª€è§£ãæãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({A}{a} & {C}{a}) | [
"fact7 -> int2: ãã®ãœããœã«ã
Lv.88ã¯æããªããšãããããã®ãœããœã«ã
Lv.88ã¯äžãæããŠèª€è§£ãæãããšããããšã¯èª€ãã ; fact9 -> int3: ä»®ã«ãã®ãœããœã«ã
Lv.88ã¯æå£ããªããªãããããã¯è¶ãããããã±ãã±ãããªãããšããããšã¯æ¬åœã§ããããšããããšã¯åœã ; fact8 -> int4: ããä»®ã«ãã®ãã«ãããLv.66ãæ¯èŠªããããªããšããããã®ãã«ãããLv.66ã¯è©Šåããããããã¯ããã¯åŸ¡å¯ããªãããŸãã¯äž¡æ¹ãšãã ; fact10 -> int5: ãã®ãã«ãããLv.66ã¯æ¯èŠªããããªã; int4 & int5 -> int6: ãã®ãã«ãããLv.66ã¯è©Šåãããããã¯åŸ¡å¯ããªãããããã¯äž¡æ¹ã§ãã; int6 -> int7: ããããã¢ã³ã¹ã¿ãŒã¯è©ŠåããããŸãã¯åŸ¡å¯ããªã; int7 -> int8: ãã®ãœã«ãœã®Lv.32ã¯è©Šåããããããã¯ããã¯åŸ¡å¯ããªã;"
] | 14 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¯èŠªããããšããããšã¯ãªã fact2: ãã®ãœããœã«ã
Lv.88ã¯èª€è§£ãæã fact3: ãã®ãœããœã«ã
Lv.88ã¯äžãæãããããããã¯æã fact4: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯æããªããšããã°ãäžãæãã誀解ãæãããšããããšã¯äºå®ã§ãªã fact5: æ¯èŠªããããªãã¢ã³ã¹ã¿ãŒã¯è©Šåããããããã¯åŸ¡å¯ããªãããããã¯äž¡æ¹ã§ãã fact6: ããããã¢ã³ã¹ã¿ãŒã¯æå£ããªããªããè¶ããããããããã¯ã±ãã±ããããšããããšã¯ãªãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ãœããœã«ã
Lv.88ã¯äžãæãã誀解ãæã ; $proof$ = | fact3 -> int1: ãã®ãœããœã«ã
Lv.88ã¯äžãæã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{G}x fact2: {C}{a} fact3: ({A}{a} & {B}{a}) fact4: (x): ¬{B}x -> ¬({A}x & {C}x) fact5: (x): ¬{G}x -> ({I}x v ¬{H}x) fact6: (x): ¬{F}x -> ¬({D}x v ¬{E}x) ; $hypothesis$ = ({A}{a} & {C}{a}) ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | çµåãæããšããããšã¯èµ·ãããªã | ¬{C} | fact1: ãçµåãæããšããããšã¯çããªãããšããããšã¯ã·ãã·ãLv.41äºä»¶ãšãŸããŸãLv.93äºä»¶ãèµ·ããã«ããçºçãã fact2: ããããLv.50äºä»¶ããã³ã©ãŠã³ãããããšãèµ·ããã¯æ ããšããããšã¯çºçããªããšããããšã®ãã£ãããšãªã fact3: ãŸããŸãLv.93äºä»¶ãçºçãã fact4: ããŸããŸãLv.93äºä»¶ã¯èµ·ãããªãããšããããšã¯ééãã§ãªããªãã°çµåãæããšããããšãçãããã·ãã·ãLv.41äºä»¶ãèµ·ãã fact5: ããä»®ã«ãã¿ãã¿ã«Lv.55äºä»¶ãèµ·ããªãããŸãã¯ãŸã«ãŸãLv.88äºä»¶ã¯èµ·ããªãããããã¯äž¡æ¹ã§ããããšããããšã¯åœã ãšãããšäºæž¬åºæ¥ãããšã¯çºçããªã fact6: ãããäºæž¬åºæ¥ãããšã¯çããªãããšããããšã¯æãç«ã€ãšããã°ãã·ã«ãã·ãªLv.86äºä»¶ã§ã¯ãªããŠãŽããŽãªLv.51äºä»¶ãçããããšããããšã¯åã fact7: ä»®ã«ãã·ã«ãã·ãªLv.86äºä»¶ã§ã¯ãªããŽããŽãªLv.51äºä»¶ãèµ·ããããšããããšã¯èª€ã£ãŠããã°ãŸããŸãLv.93äºä»¶ã¯èµ·ãããªã fact8: ãã·ãã·ãLv.41äºä»¶ãçããããšããããšã¯åã§ãªã | fact1: ({A} & {B}) -> ¬{C} fact2: ({JF} & {DJ}) -> ¬{AC} fact3: {B} fact4: ¬{B} -> ({C} & {A}) fact5: ¬(¬{H} v ¬{G}) -> ¬{F} fact6: ¬{F} -> ¬(¬{D} & {E}) fact7: ¬(¬{D} & {E}) -> ¬{B} fact8: {A} | [
"fact8 & fact3 -> int1: ã·ãã·ãLv.41äºä»¶ããã³ãŸããŸãLv.93äºä»¶äž¡æ¹ãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact8 & fact3 -> int1: ({A} & {B}); int1 & fact1 -> hypothesis;"
] | çµåãæããšããããšãçºçãã | {C} | [] | 9 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãçµåãæããšããããšã¯çããªãããšããããšã¯ã·ãã·ãLv.41äºä»¶ãšãŸããŸãLv.93äºä»¶ãèµ·ããã«ããçºçãã fact2: ããããLv.50äºä»¶ããã³ã©ãŠã³ãããããšãèµ·ããã¯æ ããšããããšã¯çºçããªããšããããšã®ãã£ãããšãªã fact3: ãŸããŸãLv.93äºä»¶ãçºçãã fact4: ããŸããŸãLv.93äºä»¶ã¯èµ·ãããªãããšããããšã¯ééãã§ãªããªãã°çµåãæããšããããšãçãããã·ãã·ãLv.41äºä»¶ãèµ·ãã fact5: ããä»®ã«ãã¿ãã¿ã«Lv.55äºä»¶ãèµ·ããªãããŸãã¯ãŸã«ãŸãLv.88äºä»¶ã¯èµ·ããªãããããã¯äž¡æ¹ã§ããããšããããšã¯åœã ãšãããšäºæž¬åºæ¥ãããšã¯çºçããªã fact6: ãããäºæž¬åºæ¥ãããšã¯çããªãããšããããšã¯æãç«ã€ãšããã°ãã·ã«ãã·ãªLv.86äºä»¶ã§ã¯ãªããŠãŽããŽãªLv.51äºä»¶ãçããããšããããšã¯åã fact7: ä»®ã«ãã·ã«ãã·ãªLv.86äºä»¶ã§ã¯ãªããŽããŽãªLv.51äºä»¶ãèµ·ããããšããããšã¯èª€ã£ãŠããã°ãŸããŸãLv.93äºä»¶ã¯èµ·ãããªã fact8: ãã·ãã·ãLv.41äºä»¶ãçããããšããããšã¯åã§ãªã ; $hypothesis$ = çµåãæããšããããšã¯èµ·ãããªã ; $proof$ = | fact8 & fact3 -> int1: ã·ãã·ãLv.41äºä»¶ããã³ãŸããŸãLv.93äºä»¶äž¡æ¹ãèµ·ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: ({JF} & {DJ}) -> ¬{AC} fact3: {B} fact4: ¬{B} -> ({C} & {A}) fact5: ¬(¬{H} v ¬{G}) -> ¬{F} fact6: ¬{F} -> ¬(¬{D} & {E}) fact7: ¬(¬{D} & {E}) -> ¬{B} fact8: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | fact8 & fact3 -> int1: ({A} & {B}); int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãœããœã¡ã
Lv.54äºä»¶ã¯èµ·ãããªã | ¬{C} | fact1: ãããã¿ã«ã¿ã¡ãLv.9äºä»¶ã¯çºçããªããªãã°åãé£ããšããããšãšãœããœã¡ã
Lv.54äºä»¶ãèµ·ãã fact2: ã¿ã«ã¿ã¡ãLv.9äºä»¶ãçºçãã fact3: åãé£ããšããããšãçãã fact4: åãé£ããšããããšãçãããã¿ã«ã¿ã¡ãLv.9äºä»¶ãèµ·ãããšããããœããœã¡ã
Lv.54äºä»¶ã¯çºçããªã fact5: ãã¡ãããLv.24äºä»¶ã¯çºçããªã | fact1: ¬{B} -> ({A} & {C}) fact2: {B} fact3: {A} fact4: ({A} & {B}) -> ¬{C} fact5: ¬{HO} | [
"fact3 & fact2 -> int1: åãé£ããšããããšããã³ã¿ã«ã¿ã¡ãLv.9äºä»¶ãçºçãã; int1 & fact4 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: ({A} & {B}); int1 & fact4 -> hypothesis;"
] | ãœããœã¡ã
Lv.54äºä»¶ãèµ·ãã | {C} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã¿ã«ã¿ã¡ãLv.9äºä»¶ã¯çºçããªããªãã°åãé£ããšããããšãšãœããœã¡ã
Lv.54äºä»¶ãèµ·ãã fact2: ã¿ã«ã¿ã¡ãLv.9äºä»¶ãçºçãã fact3: åãé£ããšããããšãçãã fact4: åãé£ããšããããšãçãããã¿ã«ã¿ã¡ãLv.9äºä»¶ãèµ·ãããšããããœããœã¡ã
Lv.54äºä»¶ã¯çºçããªã fact5: ãã¡ãããLv.24äºä»¶ã¯çºçããªã ; $hypothesis$ = ãœããœã¡ã
Lv.54äºä»¶ã¯èµ·ãããªã ; $proof$ = | fact3 & fact2 -> int1: åãé£ããšããããšããã³ã¿ã«ã¿ã¡ãLv.9äºä»¶ãçºçãã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} -> ({A} & {C}) fact2: {B} fact3: {A} fact4: ({A} & {B}) -> ¬{C} fact5: ¬{HO} ; $hypothesis$ = ¬{C} ; $proof$ = | fact3 & fact2 -> int1: ({A} & {B}); int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ä»°åããããšãèµ·ãããæŽã«ãŸããŸãLv.73äºä»¶ãèµ·ãã | ({C} & {B}) | fact1: ããä»®ã«çŽ æ©ããšããããšã¯èµ·ãããªããªãã°ããä»°åããããšããã³ãŸããŸãLv.73äºä»¶ã©ã¡ãããçããããšããããšã¯çå®ã§ããããšããããšã¯æ¬åœã§ãããšããããšã¯ãªã fact2: ä»°åããããšãçºçãã fact3: çŽ æ©ããšããããšã¯ããŸããŸãLv.73äºä»¶ãçºçããããšããããšã«ç¹ãã fact4: çŽ æ©ããšããããšãèµ·ãã fact5: ãããçŽ æ©ããšããããšãèµ·ããããŸãä¹ãé£ããšããããšãèµ·ããããšããããšã¯èª€ã£ãŠãããªããçŽ æ©ããšããããšã¯çããªãããšããããšã¯æ¬åœã§ãã | fact1: ¬{A} -> ¬({C} & {B}) fact2: {C} fact3: {A} -> {B} fact4: {A} fact5: ¬({A} & {E}) -> ¬{A} | [
"fact3 & fact4 -> int1: ãŸããŸãLv.73äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 & fact4 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | ãä»°åããããšããã³ãŸããŸãLv.73äºä»¶ãçããããšããããšã¯äºå®ãšç°ãªã | ¬({C} & {B}) | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«çŽ æ©ããšããããšã¯èµ·ãããªããªãã°ããä»°åããããšããã³ãŸããŸãLv.73äºä»¶ã©ã¡ãããçããããšããããšã¯çå®ã§ããããšããããšã¯æ¬åœã§ãããšããããšã¯ãªã fact2: ä»°åããããšãçºçãã fact3: çŽ æ©ããšããããšã¯ããŸããŸãLv.73äºä»¶ãçºçããããšããããšã«ç¹ãã fact4: çŽ æ©ããšããããšãèµ·ãã fact5: ãããçŽ æ©ããšããããšãèµ·ããããŸãä¹ãé£ããšããããšãèµ·ããããšããããšã¯èª€ã£ãŠãããªããçŽ æ©ããšããããšã¯çããªãããšããããšã¯æ¬åœã§ãã ; $hypothesis$ = ä»°åããããšãèµ·ãããæŽã«ãŸããŸãLv.73äºä»¶ãèµ·ãã ; $proof$ = | fact3 & fact4 -> int1: ãŸããŸãLv.73äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A} -> ¬({C} & {B}) fact2: {C} fact3: {A} -> {B} fact4: {A} fact5: ¬({A} & {E}) -> ¬{A} ; $hypothesis$ = ({C} & {B}) ; $proof$ = | fact3 & fact4 -> int1: {B}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãããŽã¡ããŽãLv.48äºä»¶ããã³éŠŽæã¿æ·±ããšããããšã©ã¡ãããèµ·ããããšããããšã¯åœã ããšããããšã¯æãç«ã€ | ¬({B} & {C}) | fact1: ã銎æã¿æ·±ããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact2: éè²ç¡ããšããããšãèµ·ãããããã«ãŽã¡ããŽãLv.48äºä»¶ãçãã fact3: éè²ç¡ããšããããšã¯èµ·ãããªããšãããããŽã¡ããŽãLv.48äºä»¶ããã³éŠŽæã¿æ·±ããšããããšã©ã¡ãããçããããšããããšã¯åã | fact1: {C} fact2: ({A} & {B}) fact3: ¬{A} -> ¬({B} & {C}) | [
"fact2 -> int1: ããŽã¡ããŽãLv.48äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | ãããŽã¡ããŽãLv.48äºä»¶ããã³éŠŽæã¿æ·±ããšããããšã©ã¡ãããèµ·ããããšããããšã¯åœã ããšããããšã¯æãç«ã€ | ¬({B} & {C}) | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã銎æã¿æ·±ããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact2: éè²ç¡ããšããããšãèµ·ãããããã«ãŽã¡ããŽãLv.48äºä»¶ãçãã fact3: éè²ç¡ããšããããšã¯èµ·ãããªããšãããããŽã¡ããŽãLv.48äºä»¶ããã³éŠŽæã¿æ·±ããšããããšã©ã¡ãããçããããšããããšã¯åã ; $hypothesis$ = ãããŽã¡ããŽãLv.48äºä»¶ããã³éŠŽæã¿æ·±ããšããããšã©ã¡ãããèµ·ããããšããããšã¯åœã ããšããããšã¯æãç«ã€ ; $proof$ = | fact2 -> int1: ããŽã¡ããŽãLv.48äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: ({A} & {B}) fact3: ¬{A} -> ¬({B} & {C}) ; $hypothesis$ = ¬({B} & {C}) ; $proof$ = | fact2 -> int1: {B}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã«ãœãªLv.92ã¯åŸ®ç¬ãŸãããšããããšã¯ãªã | ¬{A}{a} | fact1: äœããã®ã¢ã³ã¹ã¿ãŒãåªããããªããªã埮ç¬ãŸãããªããã©ä¿¡ãé£ã | fact1: (x): ¬{C}x -> (¬{A}x & {B}x) | [] | [] | ãã®ãœã«ãœãªLv.92ã¯åŸ®ç¬ãŸãããšããããšã¯ãªã | ¬{A}{a} | [
"fact2 -> int1: ãã®ãœã«ãœãªLv.92ãåªããããšããããšã¯ãªããªãã°åŸ®ç¬ãŸãããªããã©ä¿¡ãé£ã;"
] | 5 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: äœããã®ã¢ã³ã¹ã¿ãŒãåªããããªããªã埮ç¬ãŸãããªããã©ä¿¡ãé£ã ; $hypothesis$ = ãã®ãœã«ãœãªLv.92ã¯åŸ®ç¬ãŸãããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{C}x -> (¬{A}x & {B}x) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã«ã
ãŸãªLv.64ã¯åºãã | {C}{a} | fact1: ãã®ãŸã«ã
ãŸãªLv.64ã¯æãã fact2: ããä»®ã«ãã®ãŸã«ã
ãŸãªLv.64ãåã³é£ããªãã°åºãã fact3: ãã®ãŸã«ã
ãŸãªLv.64ã¯åã³é£ãããŸãããã¯æãã fact4: ãããã®ãœã®ãœãLv.77ã確èªåºæ¥ããšããããšã¯ãªããšããã°ãã®ãœã®ãœãLv.77ã¯å
¥ãæããªããæãã | fact1: {B}{a} fact2: {A}{a} -> {C}{a} fact3: ({A}{a} & {B}{a}) fact4: ¬{D}{b} -> (¬{E}{b} & {B}{b}) | [
"fact3 -> int1: ãã®ãŸã«ã
ãŸãªLv.64ã¯åã³é£ã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ãŸã«ã
ãŸãªLv.64ã¯åºãããšããããšã¯ãªã | ¬{C}{a} | [] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸã«ã
ãŸãªLv.64ã¯æãã fact2: ããä»®ã«ãã®ãŸã«ã
ãŸãªLv.64ãåã³é£ããªãã°åºãã fact3: ãã®ãŸã«ã
ãŸãªLv.64ã¯åã³é£ãããŸãããã¯æãã fact4: ãããã®ãœã®ãœãLv.77ã確èªåºæ¥ããšããããšã¯ãªããšããã°ãã®ãœã®ãœãLv.77ã¯å
¥ãæããªããæãã ; $hypothesis$ = ãã®ãŸã«ã
ãŸãªLv.64ã¯åºãã ; $proof$ = | fact3 -> int1: ãã®ãŸã«ã
ãŸãªLv.64ã¯åã³é£ã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} fact2: {A}{a} -> {C}{a} fact3: ({A}{a} & {B}{a}) fact4: ¬{D}{b} -> (¬{E}{b} & {B}{b}) ; $hypothesis$ = {C}{a} ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ã座ãæããšããããšãèµ·ããããããã¯åŸé£ããšããããšãçºçããããšããããšã¯çå®ã§ãªã | ¬({D} v {C}) | fact1: ãåŸé£ããšããããšã¯èµ·ãããªãããšããããšã¯ç°èèããšããããšã«é»æ¢ããã fact2: ãæ
ãšããããšããããšããããã¯ãŽããŽã¡ã
Lv.54äºä»¶ãçºçããããšããããšã¯æãç«ã€ fact3: 飲ããããšã¯çºçããªããšããããšããããã¯ç°èèããšããããšã¯èµ·ããªããšããããšãã©ã¡ããã¯åºãæããšããããšã¯çããªããšããããšã«åŒãèµ·ãããã fact4: åŸé£ããšããããšã¯æãŸãããšããããšãèµ·ãããšããããšãåå ã fact5: ãã¿ãã¿ã«Lv.43äºä»¶ãçããããšããããšã¯äºå®ã fact6: æ··éããããšãçºçãã fact7: ããä»®ã«ãæãŸãããšããããšã¯èµ·ãããªãããšããããšã¯æ¬åœã ãšããã°ã座ãæããšããããšãçãããåŸé£ããšããããšãçããããšããããšã¯æãç«ããªã fact8: æãŸãããšããããšãèµ·ããããŸãã¯ç°èèããšããããšãçºçãã | fact1: {B} -> {C} fact2: ({HO} v {FU}) fact3: ¬{F} -> (¬{E} v ¬{B}) fact4: {A} -> {C} fact5: {DC} fact6: {IK} fact7: ¬{A} -> ¬({D} v {C}) fact8: ({A} v {B}) | [
"fact8 & fact4 & fact1 -> int1: ãåŸé£ããšããããšãèµ·ããããšããããšã¯æ¬åœã§ãã; int1 -> hypothesis;"
] | [
"fact8 & fact4 & fact1 -> int1: {C}; int1 -> hypothesis;"
] | ã座ãæããšããããšãèµ·ããããããã¯åŸé£ããšããããšãçºçããããšããããšã¯çå®ã§ãªã | ¬({D} v {C}) | [] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãåŸé£ããšããããšã¯èµ·ãããªãããšããããšã¯ç°èèããšããããšã«é»æ¢ããã fact2: ãæ
ãšããããšããããšããããã¯ãŽããŽã¡ã
Lv.54äºä»¶ãçºçããããšããããšã¯æãç«ã€ fact3: 飲ããããšã¯çºçããªããšããããšããããã¯ç°èèããšããããšã¯èµ·ããªããšããããšãã©ã¡ããã¯åºãæããšããããšã¯çããªããšããããšã«åŒãèµ·ãããã fact4: åŸé£ããšããããšã¯æãŸãããšããããšãèµ·ãããšããããšãåå ã fact5: ãã¿ãã¿ã«Lv.43äºä»¶ãçããããšããããšã¯äºå®ã fact6: æ··éããããšãçºçãã fact7: ããä»®ã«ãæãŸãããšããããšã¯èµ·ãããªãããšããããšã¯æ¬åœã ãšããã°ã座ãæããšããããšãçãããåŸé£ããšããããšãçããããšããããšã¯æãç«ããªã fact8: æãŸãããšããããšãèµ·ããããŸãã¯ç°èèããšããããšãçºçãã ; $hypothesis$ = ã座ãæããšããããšãèµ·ããããããã¯åŸé£ããšããããšãçºçããããšããããšã¯çå®ã§ãªã ; $proof$ = | fact8 & fact4 & fact1 -> int1: ãåŸé£ããšããããšãèµ·ããããšããããšã¯æ¬åœã§ãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} -> {C} fact2: ({HO} v {FU}) fact3: ¬{F} -> (¬{E} v ¬{B}) fact4: {A} -> {C} fact5: {DC} fact6: {IK} fact7: ¬{A} -> ¬({D} v {C}) fact8: ({A} v {B}) ; $hypothesis$ = ¬({D} v {C}) ; $proof$ = | fact8 & fact4 & fact1 -> int1: {C}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã¡ãã¿ãLv.77ã¯çµ¶ãéç¡ã | {C}{aa} | fact1: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯çãããããããã¯æããæãããšããããšã¯åœã ãšãããšæããæããªã fact2: ããã¢ã³ã¹ã¿ãŒãæã£ãåããªããšãããšããã¯çµ¶ãéç¡ã fact3: ããããã®ã¿ãã¿ãLv.12ã¯æ Œä»ãããªããªãã°ããã®ã¿ãã¿ãLv.12ã¯æçš¿ããããšããããšã¯æãç«ã€ããšããããšã¯æãç«ã€ fact4: æããæããªãã¢ã³ã¹ã¿ãŒã¯æã£ãåããåãé¢ãé£ã fact5: ãã®ã¿ã¡ãã¿ãLv.77ã¯æã£ãåããªã fact6: ãç©ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: (x): ¬({E}x & {D}x) -> ¬{D}x fact2: (x): ¬{B}x -> {C}x fact3: ¬{CG}{br} -> {II}{br} fact4: (x): ¬{D}x -> ({B}x v {A}x) fact5: ¬{B}{aa} fact6: (Ex): ¬{F}x | [
"fact2 -> int1: ä»®ã«ãã®ã¿ã¡ãã¿ãLv.77ãæã£ãåããªããšããã°ãã®ã¿ã¡ãã¿ãLv.77ã¯çµ¶ãéç¡ã; int1 & fact5 -> hypothesis;"
] | [
"fact2 -> int1: ¬{B}{aa} -> {C}{aa}; int1 & fact5 -> hypothesis;"
] | ãã®ã¿ã¡ãã¿ãLv.77ã¯çµ¶ãéç¡ããªã | ¬{C}{aa} | [
"fact8 -> int2: ä»®ã«ãã®ã¿ã¡ãã¿ãLv.77ãæããæããªããšããããã®ã¿ã¡ãã¿ãLv.77ã¯æã£ãåãããããã¯åãé¢ãé£ãããããã¯äž¡æ¹ãšãã ; fact7 -> int3: ããä»®ã«ããã®ã¿ã¡ãã¿ãLv.77ã¯çããŠãã€æããæãããšããããšã¯èª€ã£ãŠãããšããã°ãã®ã¿ã¡ãã¿ãLv.77ã¯æããæããªã;"
] | 4 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯çãããããããã¯æããæãããšããããšã¯åœã ãšãããšæããæããªã fact2: ããã¢ã³ã¹ã¿ãŒãæã£ãåããªããšãããšããã¯çµ¶ãéç¡ã fact3: ããããã®ã¿ãã¿ãLv.12ã¯æ Œä»ãããªããªãã°ããã®ã¿ãã¿ãLv.12ã¯æçš¿ããããšããããšã¯æãç«ã€ããšããããšã¯æãç«ã€ fact4: æããæããªãã¢ã³ã¹ã¿ãŒã¯æã£ãåããåãé¢ãé£ã fact5: ãã®ã¿ã¡ãã¿ãLv.77ã¯æã£ãåããªã fact6: ãç©ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ãLv.77ã¯çµ¶ãéç¡ã ; $proof$ = | fact2 -> int1: ä»®ã«ãã®ã¿ã¡ãã¿ãLv.77ãæã£ãåããªããšããã°ãã®ã¿ã¡ãã¿ãLv.77ã¯çµ¶ãéç¡ã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬({E}x & {D}x) -> ¬{D}x fact2: (x): ¬{B}x -> {C}x fact3: ¬{CG}{br} -> {II}{br} fact4: (x): ¬{D}x -> ({B}x v {A}x) fact5: ¬{B}{aa} fact6: (Ex): ¬{F}x ; $hypothesis$ = {C}{aa} ; $proof$ = | fact2 -> int1: ¬{B}{aa} -> {C}{aa}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ãã¿ãLv.96ã¯å§Šããããã€æªããããšããããšã¯èª€ã£ãŠãã | ¬({C}{a} & {A}{a}) | fact1: ããã®ã¿ãã¿ãLv.96ã¯å§Šããããšããããšã¯æãç«ã€ | fact1: {C}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ã¿ãã¿ãLv.96ã¯å§Šããããšããããšã¯æãç«ã€ ; $hypothesis$ = ããã®ã¿ãã¿ãLv.96ã¯å§Šããããã€æªããããšããããšã¯èª€ã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{a} ; $hypothesis$ = ¬({C}{a} & {A}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | å©çšããæããšããããšã¯èµ·ããªã | ¬{C} | fact1: äŸèšåºæ¥ãããšãèµ·ãããæŽã«å¿ãé£ããšããããšãèµ·ãã fact2: ãŽããŽãLv.52äºä»¶ãèµ·ãã fact3: é€å€ããããšãèµ·ãããšããããšã¯ãå©çšããæããšããããšã¯çããªãããšããããšãé²ã fact4: ã確èªãæããšããããšãçºçããããšããããšã¯äºå®ã fact5: ãã«ã
ããLv.64äºä»¶ããã³ã¿ã«ãã¿ã«Lv.76äºä»¶äž¡æ¹ãšããèµ·ãã fact6: åºãéããããšããã³è»œã
ãããšããããšãèµ·ãã | fact1: ({HK} & {JK}) fact2: {DE} fact3: {B} -> {C} fact4: {GI} fact5: ({CQ} & {JH}) fact6: ({IQ} & {IU}) | [] | [] | null | null | [] | null | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: äŸèšåºæ¥ãããšãèµ·ãããæŽã«å¿ãé£ããšããããšãèµ·ãã fact2: ãŽããŽãLv.52äºä»¶ãèµ·ãã fact3: é€å€ããããšãèµ·ãããšããããšã¯ãå©çšããæããšããããšã¯çããªãããšããããšãé²ã fact4: ã確èªãæããšããããšãçºçããããšããããšã¯äºå®ã fact5: ãã«ã
ããLv.64äºä»¶ããã³ã¿ã«ãã¿ã«Lv.76äºä»¶äž¡æ¹ãšããèµ·ãã fact6: åºãéããããšããã³è»œã
ãããšããããšãèµ·ãã ; $hypothesis$ = å©çšããæããšããããšã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({HK} & {JK}) fact2: {DE} fact3: {B} -> {C} fact4: {GI} fact5: ({CQ} & {JH}) fact6: ({IQ} & {IU}) ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸã¡ãLv.7ã¯èµ·ãé£ã | {A}{a} | fact1: ãããããšããã¢ã³ã¹ã¿ãŒã¯æ
ãšããããããã«åŸæãããšããããšã¯ééãã§ãããªãããã¯æ
ãšããããªã fact2: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŸæããªããªãã°ãããã¯æ
ãšãããããããã¯å€§äººããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯èª€ãã fact3: ããããã¢ã³ã¹ã¿ãŒã¯å€§äººããªã fact4: æ
ãšããããªãã¢ã³ã¹ã¿ãŒã¯æè³ããèµ·ãé£ã | fact1: (x): ¬({B}x & {D}x) -> ¬{B}x fact2: (x): ¬{D}x -> ¬({B}x v ¬{C}x) fact3: (x): ¬{C}x fact4: (x): ¬{B}x -> ({IT}x & {A}x) | [] | [] | å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æè³ã | (x): {IT}x | [
"fact5 -> int1: ããä»®ã«ãã®ãŸããŸã¡ãLv.7ãæ
ãšããããªããšããã°ãã®ãŸããŸã¡ãLv.7ã¯æè³ãããããèµ·ãé£ã; fact6 -> int2: ä»®ã«ããã®ãŸããŸã¡ãLv.7ã¯æ
ãšããããå ããŠåŸæãããšããããšã¯æãç«ããªããšãããšãã®ãŸããŸã¡ãLv.7ã¯æ
ãšããããšããããšã¯ãªã; fact7 -> int3: ãã®ãŸããŸãLv.37ã¯å€§äººããªã;"
] | 8 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããšããã¢ã³ã¹ã¿ãŒã¯æ
ãšããããããã«åŸæãããšããããšã¯ééãã§ãããªãããã¯æ
ãšããããªã fact2: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŸæããªããªãã°ãããã¯æ
ãšãããããããã¯å€§äººããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯èª€ãã fact3: ããããã¢ã³ã¹ã¿ãŒã¯å€§äººããªã fact4: æ
ãšããããªãã¢ã³ã¹ã¿ãŒã¯æè³ããèµ·ãé£ã ; $hypothesis$ = ãã®ãŸããŸã¡ãLv.7ã¯èµ·ãé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬({B}x & {D}x) -> ¬{B}x fact2: (x): ¬{D}x -> ¬({B}x v ¬{C}x) fact3: (x): ¬{C}x fact4: (x): ¬{B}x -> ({IT}x & {A}x) ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãããã«ãLv.38ã¯é²ã¿æããŠããŸãã«èšèª¬åããããšããããšã¯èª€ãã | ¬({B}{a} & {A}{a}) | fact1: ãã®ãããã«ãLv.38ã¯èšèª¬åãã fact2: ä»®ã«ãã®ãããã«ãLv.38ã¯æµ
ããšããããšã¯ãªãããããè¡ããªããªãããã¯é²ã¿æã fact3: ãã®ãããã«ãLv.38ã¯å¶ãã fact4: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯èŒããããšããããšã¯ãªããªãããããã¯é²ã¿æãããããèšèª¬åããããšããããšã¯çå®ã§ããããšããããšã¯æãç«ããªã fact5: ãã®ã¿ãã¿ãLv.86ã¯å°€ãããããããã«çã
ãã fact6: ãããã®ãããã«ãLv.38ãèŒããããªããšããã°ãã®ãœããœãLv.12ãèšèª¬åããããã®äžããã¯é²ã¿æã fact7: ãã®ãããã«ãLv.38ã¯æµ
ããšããããšã¯ãªããŠè¡ããªã | fact1: {A}{a} fact2: (¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact3: {BJ}{a} fact4: (x): ¬{C}x -> ¬({B}x & {A}x) fact5: ({I}{hi} & {HH}{hi}) fact6: ¬{C}{a} -> ({A}{j} & {B}{j}) fact7: (¬{AA}{a} & ¬{AB}{a}) | [
"fact2 & fact7 -> int1: ãã®ãããã«ãLv.38ã¯é²ã¿æã; int1 & fact1 -> hypothesis;"
] | [
"fact2 & fact7 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ããã®ãœããœãLv.12ã¯æµ
ãããšããããšã¯æãç«ã€ | {AA}{j} | [] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãããã«ãLv.38ã¯èšèª¬åãã fact2: ä»®ã«ãã®ãããã«ãLv.38ã¯æµ
ããšããããšã¯ãªãããããè¡ããªããªãããã¯é²ã¿æã fact3: ãã®ãããã«ãLv.38ã¯å¶ãã fact4: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯èŒããããšããããšã¯ãªããªãããããã¯é²ã¿æãããããèšèª¬åããããšããããšã¯çå®ã§ããããšããããšã¯æãç«ããªã fact5: ãã®ã¿ãã¿ãLv.86ã¯å°€ãããããããã«çã
ãã fact6: ãããã®ãããã«ãLv.38ãèŒããããªããšããã°ãã®ãœããœãLv.12ãèšèª¬åããããã®äžããã¯é²ã¿æã fact7: ãã®ãããã«ãLv.38ã¯æµ
ããšããããšã¯ãªããŠè¡ããªã ; $hypothesis$ = ããã®ãããã«ãLv.38ã¯é²ã¿æããŠããŸãã«èšèª¬åããããšããããšã¯èª€ãã ; $proof$ = | fact2 & fact7 -> int1: ãã®ãããã«ãLv.38ã¯é²ã¿æã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: (¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact3: {BJ}{a} fact4: (x): ¬{C}x -> ¬({B}x & {A}x) fact5: ({I}{hi} & {HH}{hi}) fact6: ¬{C}{a} -> ({A}{j} & {B}{j}) fact7: (¬{AA}{a} & ¬{AB}{a}) ; $hypothesis$ = ¬({B}{a} & {A}{a}) ; $proof$ = | fact2 & fact7 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.83ã¯å³ã€ããªã | ¬{B}{aa} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯èª€ãç¡ã fact2: 誀ãç¡ãã¢ã³ã¹ã¿ãŒã¯èãèŸã fact3: ãããããã®ãŽããŽãLv.83ã¯èª€ãç¡ãããšããããšã¯çå®ã ãšããã°ããã¯å³ã€ã fact4: ãã®ãŽããŽã«Lv.7ã¯èª€ãç¡ã | fact1: (x): {A}x fact2: (x): {A}x -> {GG}x fact3: {A}{aa} -> {B}{aa} fact4: {A}{eg} | [
"fact1 -> int1: ãã®ãŽããŽãLv.83ã¯èª€ãç¡ã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {A}{aa}; int1 & fact3 -> hypothesis;"
] | ãã®ã·ã«ãã·ã«ãLv.86ã誀ãç¡ããªãã°ããã¯èãèŸã | {A}{dc} -> {GG}{dc} | [
"fact5 -> hypothesis;"
] | 1 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯èª€ãç¡ã fact2: 誀ãç¡ãã¢ã³ã¹ã¿ãŒã¯èãèŸã fact3: ãããããã®ãŽããŽãLv.83ã¯èª€ãç¡ãããšããããšã¯çå®ã ãšããã°ããã¯å³ã€ã fact4: ãã®ãŽããŽã«Lv.7ã¯èª€ãç¡ã ; $hypothesis$ = ãã®ãŽããŽãLv.83ã¯å³ã€ããªã ; $proof$ = | fact1 -> int1: ãã®ãŽããŽãLv.83ã¯èª€ãç¡ã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): {A}x -> {GG}x fact3: {A}{aa} -> {B}{aa} fact4: {A}{eg} ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | fact1 -> int1: {A}{aa}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã«ã
ã¿ã¡ã
Lv.4ã¯è
¹é»ã | {A}{a} | fact1: ãããããã¢ã³ã¹ã¿ãŒã¯äŒãããšããããšã¯äºå®ã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äººéããã fact3: ãå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯éã
ãããªãããšããããšã¯çå®ã fact4: ããããã¢ã³ã¹ã¿ãŒã¯åãæã fact5: ããããã¢ã³ã¹ã¿ãŒã¯è
¹é»ã fact6: ããããã¢ã³ã¹ã¿ãŒã¯å±æ§ãã | fact1: (x): {AP}x fact2: (x): {FP}x fact3: (x): ¬{D}x fact4: (x): {CI}x fact5: (x): {A}x fact6: (x): {HO}x | [
"fact5 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯è
¹é»ã; int1 -> hypothesis;"
] | [
"fact5 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ã¿ã«ã
ã¿ã¡ã
Lv.4ã¯è
¹é»ããªã | ¬{A}{a} | [
"fact7 -> int2: ãã®ã¿ãã¿ã®Lv.83ã¯éã
ãããªã;"
] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããããã¢ã³ã¹ã¿ãŒã¯äŒãããšããããšã¯äºå®ã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äººéããã fact3: ãå
šãŠã®ã¢ã³ã¹ã¿ãŒã¯éã
ãããªãããšããããšã¯çå®ã fact4: ããããã¢ã³ã¹ã¿ãŒã¯åãæã fact5: ããããã¢ã³ã¹ã¿ãŒã¯è
¹é»ã fact6: ããããã¢ã³ã¹ã¿ãŒã¯å±æ§ãã ; $hypothesis$ = ãã®ã¿ã«ã
ã¿ã¡ã
Lv.4ã¯è
¹é»ã ; $proof$ = | fact5 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯è
¹é»ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {AP}x fact2: (x): {FP}x fact3: (x): ¬{D}x fact4: (x): {CI}x fact5: (x): {A}x fact6: (x): {HO}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact5 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ã«ãã¿ã¡ãLv.18ã¯åºã | {C}{c} | fact1: ãã®ãã«ãã«ãLv.59ã¯ããŠãè¯ã fact2: ããããã®ãœããœãLv.16ã¯ããŠãè¯ãããšããããšã¯æãç«ãŠã°ããã®ã·ãã·ã«ãLv.47ã¯åããããšããããšã¯çå®ã§ãã fact3: ããŠãè¯ãã¢ã³ã¹ã¿ãŒã¯åãã fact4: ãã®ãœããœãLv.16ã¯ããŠãè¯ã | fact1: {A}{cg} fact2: {A}{a} -> {B}{b} fact3: (x): {A}x -> {B}x fact4: {A}{a} | [
"fact2 & fact4 -> int1: ããã®ã·ãã·ã«ãLv.47ã¯åããããšããããšã¯èª€ã£ãŠããªã;"
] | [
"fact2 & fact4 -> int1: {B}{b};"
] | ãã®ãããã«ãLv.73ã¯åãã | {B}{ho} | [
"fact5 -> int2: ä»®ã«ãã®ãããã«ãLv.73ãããŠãè¯ããšãããšåãã;"
] | 4 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãã«ãã«ãLv.59ã¯ããŠãè¯ã fact2: ããããã®ãœããœãLv.16ã¯ããŠãè¯ãããšããããšã¯æãç«ãŠã°ããã®ã·ãã·ã«ãLv.47ã¯åããããšããããšã¯çå®ã§ãã fact3: ããŠãè¯ãã¢ã³ã¹ã¿ãŒã¯åãã fact4: ãã®ãœããœãLv.16ã¯ããŠãè¯ã ; $hypothesis$ = ãã®ã¿ã«ãã¿ã¡ãLv.18ã¯åºã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{cg} fact2: {A}{a} -> {B}{b} fact3: (x): {A}x -> {B}x fact4: {A}{a} ; $hypothesis$ = {C}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã®Lv.76ã¯ä¹ãåããããå ããŠå³ããæ·±ã | ({C}{a} & {A}{a}) | fact1: æãæãã¢ã³ã¹ã¿ãŒã¯å€ªããªã fact2: ããã®ã·ãã·ã®Lv.76ã¯ä¹ãåãããããšããããšã¯æãç«ã€ | fact1: (x): {D}x -> ¬{B}x fact2: {C}{a} | [] | [] | ããã®ã·ãã·ã®Lv.76ã¯ä¹ãåããããããã¯å³ããæ·±ãããšããããšã¯èª€ãã§ãã | ¬({C}{a} & {A}{a}) | [
"fact3 -> int1: ä»®ã«ãã®ãŸããŸã«ãLv.63ãæãæããšããããã®ãŸããŸã«ãLv.63ã¯å€ªããªã;"
] | 5 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: æãæãã¢ã³ã¹ã¿ãŒã¯å€ªããªã fact2: ããã®ã·ãã·ã®Lv.76ã¯ä¹ãåãããããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ã·ãã·ã®Lv.76ã¯ä¹ãåããããå ããŠå³ããæ·±ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {D}x -> ¬{B}x fact2: {C}{a} ; $hypothesis$ = ({C}{a} & {A}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã¿ãã¿ãªLv.30ã¯ãšãããªããã©ç¥ã
ããããšããããšã¯æãç«ããªã | ¬(¬{A}{b} & {B}{b}) | fact1: ãã®ãã«ããã¡ãLv.19ã¯ãšãã fact2: ãã®ãã«ããã¡ãLv.19ããšãããšããããã®ã¿ãã¿ãªLv.30ã¯ãšãããªããç¥ã
ãã fact3: ããã¢ã³ã¹ã¿ãŒã¯èŠæ¥µãé£ããªãã°ãããšãããªããç¥ã
ããããšããããšã¯æ¬åœã ããšããããšã¯äºå®ãšç°ãªã | fact1: {A}{a} fact2: {A}{a} -> (¬{A}{b} & {B}{b}) fact3: (x): {C}x -> ¬(¬{A}x & {B}x) | [
"fact1 -> int1: ãã®ãã«ããã¡ãLv.19ã¯ãšãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ããã®ã¿ãã¿ãªLv.30ã¯ãšãããªããã©ç¥ã
ããããšããããšã¯æãç«ããªã | ¬(¬{A}{b} & {B}{b}) | [
"fact4 -> int2: ããä»®ã«ãã®ã¿ãã¿ãªLv.30ã¯èŠæ¥µãé£ããªãã°ããšãããªããç¥ã
ããããšããããšã¯æãç«ããªã;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãã«ããã¡ãLv.19ã¯ãšãã fact2: ãã®ãã«ããã¡ãLv.19ããšãããšããããã®ã¿ãã¿ãªLv.30ã¯ãšãããªããç¥ã
ãã fact3: ããã¢ã³ã¹ã¿ãŒã¯èŠæ¥µãé£ããªãã°ãããšãããªããç¥ã
ããããšããããšã¯æ¬åœã ããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = ããã®ã¿ãã¿ãªLv.30ã¯ãšãããªããã©ç¥ã
ããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ãã®ãã«ããã¡ãLv.19ã¯ãšãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> (¬{A}{b} & {B}{b}) fact3: (x): {C}x -> ¬(¬{A}x & {B}x) ; $hypothesis$ = ¬(¬{A}{b} & {B}{b}) ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã«ã·ã«ã
Lv.1ã¯çºè°ãããããã«çãŸãã | ({B}{b} & {C}{b}) | fact1: ãã®ã·ã«ã·ã«ã
Lv.1ã¯çãŸãã fact2: ãã®ã¿ã®ã¿ã®Lv.74ã¯æã fact3: ä»®ã«ãã®ã¿ã®ã¿ã®Lv.74ãæããšããã°ãã®ã·ã«ã·ã«ã
Lv.1ã¯çºè°ãã fact4: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãçãŸãããªããšãããæããŠçºè°ãã | fact1: {C}{b} fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: (x): ¬{C}x -> ({A}x & {B}x) | [
"fact3 & fact2 -> int1: ãã®ã·ã«ã·ã«ã
Lv.1ã¯çºè°ãã; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}{b}; int1 & fact1 -> hypothesis;"
] | ãã®ã·ã«ã·ã«ã
Lv.1ã¯æã | {A}{b} | [
"fact5 -> int2: ä»®ã«ããã®ã·ã«ã·ã«ã
Lv.1ã¯çãŸãããšããããšã¯ãªãããšããããšã¯æãç«ã€ãšãããããã¯æãããããçºè°ãã;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ã·ã«ã
Lv.1ã¯çãŸãã fact2: ãã®ã¿ã®ã¿ã®Lv.74ã¯æã fact3: ä»®ã«ãã®ã¿ã®ã¿ã®Lv.74ãæããšããã°ãã®ã·ã«ã·ã«ã
Lv.1ã¯çºè°ãã fact4: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãçãŸãããªããšãããæããŠçºè°ãã ; $hypothesis$ = ãã®ã·ã«ã·ã«ã
Lv.1ã¯çºè°ãããããã«çãŸãã ; $proof$ = | fact3 & fact2 -> int1: ãã®ã·ã«ã·ã«ã
Lv.1ã¯çºè°ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{b} fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: (x): ¬{C}x -> ({A}x & {B}x) ; $hypothesis$ = ({B}{b} & {C}{b}) ; $proof$ = | fact3 & fact2 -> int1: {B}{b}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸãLv.34ã¯è¿ãããªã | ¬{C}{c} | fact1: ãã®ãŸã¡ã
ãŸãLv.3ã¯éè¿ã fact2: ããããã®ãœã®ãœãLv.60ãèŠãé£ããšããã°ãã®ãŸããŸãLv.34ã¯è¿ãã fact3: ãããã®ãœã®ãœãLv.60ãé»æããšããããšã¯ãªããªãã°ãã®ãœã®ãœãLv.60ã¯éè¿ããèšãèŸã | fact1: {A}{a} fact2: {B}{b} -> {C}{c} fact3: ¬{E}{b} -> ({A}{b} & {D}{b}) | [] | [] | ãã®ãŸããŸãLv.34ã¯è¿ãããªã | ¬{C}{c} | [] | 6 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãŸã¡ã
ãŸãLv.3ã¯éè¿ã fact2: ããããã®ãœã®ãœãLv.60ãèŠãé£ããšããã°ãã®ãŸããŸãLv.34ã¯è¿ãã fact3: ãããã®ãœã®ãœãLv.60ãé»æããšããããšã¯ãªããªãã°ãã®ãœã®ãœãLv.60ã¯éè¿ããèšãèŸã ; $hypothesis$ = ãã®ãŸããŸãLv.34ã¯è¿ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: {B}{b} -> {C}{c} fact3: ¬{E}{b} -> ({A}{b} & {D}{b}) ; $hypothesis$ = ¬{C}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœããœã¡ãLv.58ã¯ã©ãããŠã欲ãã | {A}{a} | fact1: ãããã¢ã³ã¹ã¿ãŒã¯ãããããããã©ãã©ã³ãããããªãããšããããšã¯åã ãšããã°ããã¯ããããããªã fact2: ã©ãããŠã欲ããã¢ã³ã¹ã¿ãŒã¯çŽ°é·ã fact3: ä»®ã«ããã®ãœããœã¡ãLv.58ã¯é³è¿°ããªããããã现é·ããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãªããšããããã®ãœããœã¡ãLv.58ã¯èŠé£ã fact4: ãããããã®ãœããœã¡ãLv.58ã¯èŠé£ãããšããããšã¯èª€ãã§ãªããšããããã®ãœããœã¡ãLv.58ã¯ã©ãããŠã欲ãã fact5: ããã®ãœããœã¡ãLv.58ã¯é³è¿°ããªãã现é·ããªãããšããããšã¯æãç«ããªã fact6: ããã®ãœããœã¡ãLv.58ã¯çŽ°é·ããªãããããããã¯ãããããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | fact1: (x): ¬({C}x & ¬{E}x) -> ¬{C}x fact2: (x): {A}x -> {AB}x fact3: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact4: {B}{a} -> {A}{a} fact5: ¬(¬{AA}{a} & ¬{AB}{a}) fact6: ¬(¬{AB}{a} & {GI}{a}) | [
"fact3 & fact5 -> int1: ãã®ãœããœã¡ãLv.58ã¯èŠé£ã; int1 & fact4 -> hypothesis;"
] | [
"fact3 & fact5 -> int1: {B}{a}; int1 & fact4 -> hypothesis;"
] | ãã®ãœããœã¡ãLv.58ã¯ã©ãããŠã欲ãããªã | ¬{A}{a} | [
"fact7 -> int2: ä»®ã«ããã®ãœããœã¡ãLv.72ã¯ãããããããã©ã³ãããããªãããšããããšã¯æ£ãããšããããšã¯ãªããšããããã®ãœããœã¡ãLv.72ã¯ããããããªã;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã¢ã³ã¹ã¿ãŒã¯ãããããããã©ãã©ã³ãããããªãããšããããšã¯åã ãšããã°ããã¯ããããããªã fact2: ã©ãããŠã欲ããã¢ã³ã¹ã¿ãŒã¯çŽ°é·ã fact3: ä»®ã«ããã®ãœããœã¡ãLv.58ã¯é³è¿°ããªããããã现é·ããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãªããšããããã®ãœããœã¡ãLv.58ã¯èŠé£ã fact4: ãããããã®ãœããœã¡ãLv.58ã¯èŠé£ãããšããããšã¯èª€ãã§ãªããšããããã®ãœããœã¡ãLv.58ã¯ã©ãããŠã欲ãã fact5: ããã®ãœããœã¡ãLv.58ã¯é³è¿°ããªãã现é·ããªãããšããããšã¯æãç«ããªã fact6: ããã®ãœããœã¡ãLv.58ã¯çŽ°é·ããªãããããããã¯ãããããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ãã®ãœããœã¡ãLv.58ã¯ã©ãããŠã欲ãã ; $proof$ = | fact3 & fact5 -> int1: ãã®ãœããœã¡ãLv.58ã¯èŠé£ã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬({C}x & ¬{E}x) -> ¬{C}x fact2: (x): {A}x -> {AB}x fact3: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact4: {B}{a} -> {A}{a} fact5: ¬(¬{AA}{a} & ¬{AB}{a}) fact6: ¬(¬{AB}{a} & {GI}{a}) ; $hypothesis$ = {A}{a} ; $proof$ = | fact3 & fact5 -> int1: {B}{a}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | 姊ãããšããããšã¯çããªã | ¬{C} | fact1: ãããã仲éããããšããããšãçããããšããããšã¯çå®ã§ãããªã姊ãããšããããšã¯çããªã fact2: ãããäžžã£ãããšããããšããŽããŽã«ã
Lv.34äºä»¶ãèµ·ãããšããã°åŸãããããšããããšã¯çºçããªã fact3: ãã£ããããšããããšãçããããããã¯å€§äººããšããããšãçãã fact4: ãããåãããããšã¯çããªããªããæ°ãããšããããšãèµ·ãããããã姊ãããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã fact5: ãããæ°ãããšããããšãçããããã©å§Šãããšããããšã¯çºçããªãããšããããšã¯æãç«ããªããªãã°ä»²éããããšããããšã¯çºçããªã fact6: ç·ç§°ããããšãèµ·ãã fact7: 姊ãããšããããšã¯ç·ç§°ããããšããããã¯ä»²éããããšããããšã«é»æ¢ããã | fact1: {B} -> ¬{C} fact2: ({EI} v {IC}) -> ¬{BB} fact3: ({BL} v {J}) fact4: ¬{E} -> ¬({D} & ¬{C}) fact5: ¬({D} & ¬{C}) -> ¬{B} fact6: {A} fact7: ({A} v {B}) -> ¬{C} | [
"fact6 -> int1: ç·ç§°ããããšãçããã仲éããããšããããšãèµ·ããããããã¯äž¡æ¹ã ; int1 & fact7 -> hypothesis;"
] | [
"fact6 -> int1: ({A} v {B}); int1 & fact7 -> hypothesis;"
] | äžå€ããããšãçºçãã | {JJ} | [] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã仲éããããšããããšãçããããšããããšã¯çå®ã§ãããªã姊ãããšããããšã¯çããªã fact2: ãããäžžã£ãããšããããšããŽããŽã«ã
Lv.34äºä»¶ãèµ·ãããšããã°åŸãããããšããããšã¯çºçããªã fact3: ãã£ããããšããããšãçããããããã¯å€§äººããšããããšãçãã fact4: ãããåãããããšã¯çããªããªããæ°ãããšããããšãèµ·ãããããã姊ãããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã fact5: ãããæ°ãããšããããšãçããããã©å§Šãããšããããšã¯çºçããªãããšããããšã¯æãç«ããªããªãã°ä»²éããããšããããšã¯çºçããªã fact6: ç·ç§°ããããšãèµ·ãã fact7: 姊ãããšããããšã¯ç·ç§°ããããšããããã¯ä»²éããããšããããšã«é»æ¢ããã ; $hypothesis$ = 姊ãããšããããšã¯çããªã ; $proof$ = | fact6 -> int1: ç·ç§°ããããšãçããã仲éããããšããããšãèµ·ããããããã¯äž¡æ¹ã ; int1 & fact7 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> ¬{C} fact2: ({EI} v {IC}) -> ¬{BB} fact3: ({BL} v {J}) fact4: ¬{E} -> ¬({D} & ¬{C}) fact5: ¬({D} & ¬{C}) -> ¬{B} fact6: {A} fact7: ({A} v {B}) -> ¬{C} ; $hypothesis$ = ¬{C} ; $proof$ = | fact6 -> int1: ({A} v {B}); int1 & fact7 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ãã·ã¡ãLv.96ã¯åãé£ãããããã¯æœçšãããã©ã¡ããã§ããããšããããšã¯åã | ¬({B}{a} v {C}{a}) | fact1: ãããããã®ã·ãã·ã¡ãLv.96ã¯èã£ãããªãããšããããšã¯æãç«ã€ãšããã°ãã®ã¿ãªã¿ãLv.59ã¯æ²ãããããããåãé£ã fact2: ãã®ã·ãã·ã¡ãLv.96ã¯æ²ããã fact3: ãã®ã·ãã·ã¡ãLv.96ã¯æ²ããããæŽã«åãé£ã | fact1: ¬{D}{a} -> ({A}{dt} & {B}{dt}) fact2: {A}{a} fact3: ({A}{a} & {B}{a}) | [
"fact3 -> int1: ãã®ã·ãã·ã¡ãLv.96ã¯åãé£ã; int1 -> hypothesis;"
] | [
"fact3 -> int1: {B}{a}; int1 -> hypothesis;"
] | ãã®ã¿ãªã¿ãLv.59ã¯æœçšãã | {C}{dt} | [] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããã®ã·ãã·ã¡ãLv.96ã¯èã£ãããªãããšããããšã¯æãç«ã€ãšããã°ãã®ã¿ãªã¿ãLv.59ã¯æ²ãããããããåãé£ã fact2: ãã®ã·ãã·ã¡ãLv.96ã¯æ²ããã fact3: ãã®ã·ãã·ã¡ãLv.96ã¯æ²ããããæŽã«åãé£ã ; $hypothesis$ = ããã®ã·ãã·ã¡ãLv.96ã¯åãé£ãããããã¯æœçšãããã©ã¡ããã§ããããšããããšã¯åã ; $proof$ = | fact3 -> int1: ãã®ã·ãã·ã¡ãLv.96ã¯åãé£ã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{D}{a} -> ({A}{dt} & {B}{dt}) fact2: {A}{a} fact3: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬({B}{a} v {C}{a}) ; $proof$ = | fact3 -> int1: {B}{a}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœããœãLv.39ã¯çããã調åãé£ãããšããããšã¯ééã£ãŠãã | ¬({B}{a} v {C}{a}) | fact1: ãã®ãœããœãLv.39ã¯è¶ã£ãœã fact2: ããä»®ã«ãã®ãœããœãLv.39ãè¶ã£ãœããªãã°çãã | fact1: {A}{a} fact2: {A}{a} -> {B}{a} | [
"fact2 & fact1 -> int1: ããã®ãœããœãLv.39ã¯çããããšããããšã¯ç¢ºãã ; int1 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: {B}{a}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãœããœãLv.39ã¯è¶ã£ãœã fact2: ããä»®ã«ãã®ãœããœãLv.39ãè¶ã£ãœããªãã°çãã ; $hypothesis$ = ããã®ãœããœãLv.39ã¯çããã調åãé£ãããšããããšã¯ééã£ãŠãã ; $proof$ = | fact2 & fact1 -> int1: ããã®ãœããœãLv.39ã¯çããããšããããšã¯ç¢ºãã ; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {B}{a} ; $hypothesis$ = ¬({B}{a} v {C}{a}) ; $proof$ = | fact2 & fact1 -> int1: {B}{a}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽã¡ãLv.61ã¯ãã€ç¡ã | {B}{aa} | fact1: ããä»®ã«ããã®ããããLv.96ã¯å³ãåãããšããããšã¯ç¢ºãã§ãããªãã°ãã®ããããLv.96ã¯æèããªã fact2: ããšããã¢ã³ã¹ã¿ãŒã¯æèããšããããšã¯ãªãããã€æ»ãæããªãããšããããšã¯äºå®ã§ãªããšãããšãã€ç¡ããªã | fact1: {HI}{hg} -> ¬{AA}{hg} fact2: (x): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x | [
"fact2 -> int1: ãããããã®ãŽããŽã¡ãLv.61ã¯æèããšããããšã¯ãªããããã¯æ»ãæããªãããšããããšã¯èª€ã£ãŠãããšããã°ããã¯ãã€ç¡ããšããããšã¯ãªã;"
] | [
"fact2 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa};"
] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ããã®ããããLv.96ã¯å³ãåãããšããããšã¯ç¢ºãã§ãããªãã°ãã®ããããLv.96ã¯æèããªã fact2: ããšããã¢ã³ã¹ã¿ãŒã¯æèããšããããšã¯ãªãããã€æ»ãæããªãããšããããšã¯äºå®ã§ãªããšãããšãã€ç¡ããªã ; $hypothesis$ = ãã®ãŽããŽã¡ãLv.61ã¯ãã€ç¡ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {HI}{hg} -> ¬{AA}{hg} fact2: (x): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x ; $hypothesis$ = {B}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãããã®Lv.80ã¯ååãããŸãã¯ã²åŒ±ãããšããããšã¯æãç«ããªã | ¬({B}{a} v {A}{a}) | fact1: ããããã®ãããã®Lv.80ãå¿ã³é£ããããã¯ããŒãããªããšãããããã®ãããã®Lv.80ã¯ååãããšããããšã¯æãç«ã€ fact2: ããã®ãããã®Lv.80ã¯å¿ã³é£ãããšããããšã¯æãç«ã€ fact3: ãã®ãããã®Lv.80ã¯å¿ã³é£ãããã©ããŒãããšããããšã¯ãªã | fact1: ({AA}{a} & ¬{AB}{a}) -> {B}{a} fact2: {AA}{a} fact3: ({AA}{a} & ¬{AB}{a}) | [
"fact1 & fact3 -> int1: ãã®ãããã®Lv.80ã¯ååã; int1 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}{a}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ãããã®Lv.80ãå¿ã³é£ããããã¯ããŒãããªããšãããããã®ãããã®Lv.80ã¯ååãããšããããšã¯æãç«ã€ fact2: ããã®ãããã®Lv.80ã¯å¿ã³é£ãããšããããšã¯æãç«ã€ fact3: ãã®ãããã®Lv.80ã¯å¿ã³é£ãããã©ããŒãããšããããšã¯ãªã ; $hypothesis$ = ããã®ãããã®Lv.80ã¯ååãããŸãã¯ã²åŒ±ãããšããããšã¯æãç«ããªã ; $proof$ = | fact1 & fact3 -> int1: ãã®ãããã®Lv.80ã¯ååã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({AA}{a} & ¬{AB}{a}) -> {B}{a} fact2: {AA}{a} fact3: ({AA}{a} & ¬{AB}{a}) ; $hypothesis$ = ¬({B}{a} v {A}{a}) ; $proof$ = | fact1 & fact3 -> int1: {B}{a}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã¡ã
ãœã¡ãLv.0ã¯äžããé£ããšããããšã¯ãªã | ¬{D}{c} | fact1: ãã®ã·ãã·ã«ãLv.90ã¯é»ããæžã fact2: ãããã®ã·ãã·ã«ãLv.90ãæžããšãããšãã®ãœã¡ã
ãœã¡ãLv.0ã¯ããããšãªã fact3: ããã®ãœã¡ã
ãœã¡ãLv.0ãããããšãªããªããã®ãœã¡ã
ãœã¡ãLv.0ã¯äžããé£ãããšããããšã¯ç¢ºãã§ãã | fact1: ({A}{a} v {B}{a}) fact2: {B}{a} -> {C}{c} fact3: {C}{c} -> {D}{c} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ãã·ã«ãLv.90ã¯é»ããæžã fact2: ãããã®ã·ãã·ã«ãLv.90ãæžããšãããšãã®ãœã¡ã
ãœã¡ãLv.0ã¯ããããšãªã fact3: ããã®ãœã¡ã
ãœã¡ãLv.0ãããããšãªããªããã®ãœã¡ã
ãœã¡ãLv.0ã¯äžããé£ãããšããããšã¯ç¢ºãã§ãã ; $hypothesis$ = ãã®ãœã¡ã
ãœã¡ãLv.0ã¯äžããé£ããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} v {B}{a}) fact2: {B}{a} -> {C}{c} fact3: {C}{c} -> {D}{c} ; $hypothesis$ = ¬{D}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | 现ããšããããšã¯çºçããªã | ¬{D} | fact1: ééç¡ããšããããšã¯èµ·ãããªããšããããšã¯ãŽã¡ããŽãLv.79äºä»¶ãèµ·ãããšããããšã«é»æ¢ããã fact2: ä»®ã«åãããããšãèµ·ãããšããã°ã现ããšããããšã¯çºçããªãããŽããŽãªLv.10äºä»¶ãçºçããããšããããšã¯èª€ãã fact3: ãããŸã«ããŸãLv.49äºä»¶ã¯èµ·ãããªããšããã°åãããããšããã³ãã€ããšããããšãèµ·ãã fact4: 现ããšããããšãçºçãããšããããšã¯åŸ¡åãããããšã«ããçãã fact5: ä»®ã«ãã¿ãã¿ãLv.91äºä»¶ã§ã¯ãªããŽã«ã
ãŽãLv.92äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããªããŸã«ããŸãLv.49äºä»¶ã¯èµ·ããªã fact6: 埡åãããããšã¯ãã³ã¯ãããããšã«èµ·å ãã fact7: ãŽã¡ããŽãLv.79äºä»¶ãçããããããã¯ãã³ã¯ãããããšãèµ·ããããŸãã¯ã©ã¡ããã§ãã | fact1: {A} -> {BE} fact2: {F} -> ¬(¬{D} & {E}) fact3: ¬{H} -> ({F} & {G}) fact4: {C} -> {D} fact5: ¬(¬{I} & {J}) -> ¬{H} fact6: {B} -> {C} fact7: ({A} v {B}) | [] | [] | ééç¡ããšããããšãèµ·ãã | {BE} | [] | 9 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ééç¡ããšããããšã¯èµ·ãããªããšããããšã¯ãŽã¡ããŽãLv.79äºä»¶ãèµ·ãããšããããšã«é»æ¢ããã fact2: ä»®ã«åãããããšãèµ·ãããšããã°ã现ããšããããšã¯çºçããªãããŽããŽãªLv.10äºä»¶ãçºçããããšããããšã¯èª€ãã fact3: ãããŸã«ããŸãLv.49äºä»¶ã¯èµ·ãããªããšããã°åãããããšããã³ãã€ããšããããšãèµ·ãã fact4: 现ããšããããšãçºçãããšããããšã¯åŸ¡åãããããšã«ããçãã fact5: ä»®ã«ãã¿ãã¿ãLv.91äºä»¶ã§ã¯ãªããŽã«ã
ãŽãLv.92äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããªããŸã«ããŸãLv.49äºä»¶ã¯èµ·ããªã fact6: 埡åãããããšã¯ãã³ã¯ãããããšã«èµ·å ãã fact7: ãŽã¡ããŽãLv.79äºä»¶ãçããããããã¯ãã³ã¯ãããããšãèµ·ããããŸãã¯ã©ã¡ããã§ãã ; $hypothesis$ = 现ããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {BE} fact2: {F} -> ¬(¬{D} & {E}) fact3: ¬{H} -> ({F} & {G}) fact4: {C} -> {D} fact5: ¬(¬{I} & {J}) -> ¬{H} fact6: {B} -> {C} fact7: ({A} v {B}) ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããããLv.56ã¯åŸ¡æ¿ã | {A}{a} | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡æ¿ã fact2: ç²ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ç«ãŠæãã倧ãã fact3: ãã®ãŸã¡ããŸãLv.84ãå€ãé£ããå ããŠææ©ããªãã°ãã®ãŽã¡ã
ãŽãLv.54ã¯ç²ããªã fact4: ãã®ãŸã¡ããŸãLv.84ã¯å€ãé£ã fact5: ä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯ç«ãŠæããŠãã€ç²ãããšããããšã¯äºå®ã§ãªããªãç«ãŠæããªã | fact1: (x): {A}x fact2: (x): ¬{D}x -> ({B}x & {C}x) fact3: ({E}{c} & {F}{c}) -> ¬{D}{b} fact4: {E}{c} fact5: (x): ¬({B}x & {D}x) -> ¬{B}x | [
"fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡æ¿ã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¥é£ã | (x): {CC}x | [
"fact6 -> int2: ä»®ã«ããã®ããããLv.56ã¯ç«ãŠæãããããç²ãããšããããšã¯æ£ãããªããšãããšãç«ãŠæããªãããšããããšã¯æãç«ã€;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡æ¿ã fact2: ç²ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ç«ãŠæãã倧ãã fact3: ãã®ãŸã¡ããŸãLv.84ãå€ãé£ããå ããŠææ©ããªãã°ãã®ãŽã¡ã
ãŽãLv.54ã¯ç²ããªã fact4: ãã®ãŸã¡ããŸãLv.84ã¯å€ãé£ã fact5: ä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯ç«ãŠæããŠãã€ç²ãããšããããšã¯äºå®ã§ãªããªãç«ãŠæããªã ; $hypothesis$ = ãã®ããããLv.56ã¯åŸ¡æ¿ã ; $proof$ = | fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡æ¿ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): ¬{D}x -> ({B}x & {C}x) fact3: ({E}{c} & {F}{c}) -> ¬{D}{b} fact4: {E}{c} fact5: (x): ¬({B}x & {D}x) -> ¬{B}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã¡ã
ãã¡ãLv.42ã¯èŸæ±åŒ·ãã圱é¿ããæã | ({B}{b} & {C}{b}) | fact1: ä»®ã«ãã®ãŸã®ãŸãLv.73ãéäžãäžãããªããã®ãã¡ã
ãã¡ãLv.42ã¯èŸæ±åŒ·ã fact2: ãã®ãã¡ã
ãã¡ãLv.42ã¯åœ±é¿ããæã fact3: ãã®ãŸã®ãŸãLv.73ã¯éäžãäžãã | fact1: {A}{a} -> {B}{b} fact2: {C}{b} fact3: {A}{a} | [
"fact1 & fact3 -> int1: ãã®ãã¡ã
ãã¡ãLv.42ã¯èŸæ±åŒ·ã; 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: ä»®ã«ãã®ãŸã®ãŸãLv.73ãéäžãäžãããªããã®ãã¡ã
ãã¡ãLv.42ã¯èŸæ±åŒ·ã fact2: ãã®ãã¡ã
ãã¡ãLv.42ã¯åœ±é¿ããæã fact3: ãã®ãŸã®ãŸãLv.73ã¯éäžãäžãã ; $hypothesis$ = ãã®ãã¡ã
ãã¡ãLv.42ã¯èŸæ±åŒ·ãã圱é¿ããæã ; $proof$ = | fact1 & fact3 -> int1: ãã®ãã¡ã
ãã¡ãLv.42ã¯èŸæ±åŒ·ã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: {C}{b} fact3: {A}{a} ; $hypothesis$ = ({B}{b} & {C}{b}) ; $proof$ = | fact1 & fact3 -> int1: {B}{b}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã¡ããœãLv.39ã¯èŠããæããªã | ¬{C}{b} | fact1: ãã®ãœããœã«ãLv.61ã¯åœ¹ããã fact2: ããããã®ãœããœã«ãLv.61ã圹ããããšãããšãã®ãœã¡ããœãLv.39ã¯çºæ£ãã fact3: ããããã®ãœã¡ããœãLv.39ã¯å¹ãæããšãããšããã®ãœããœã«ãLv.61ã¯èªå·±ç®çåããªããŠèŠããæããªãããšããããšã¯åœã fact4: ãã®ãœããœã«ãLv.61ã¯èŠããæã fact5: ãã®ãœã¡ããœãLv.39ã¯åœ¹ããã fact6: ããä»®ã«ããã®ãœããœã«ãLv.61ã¯èªå·±ç®çåããªããèŠããæããªãããšããããšã¯äºå®ãšç°ãªãã°ãã®ãŸã«ã
ãŸã®Lv.54ã¯èŠããæããªã | fact1: {A}{a} fact2: {A}{a} -> {B}{b} fact3: {D}{b} -> ¬(¬{E}{a} & ¬{C}{a}) fact4: {C}{a} fact5: {A}{b} fact6: ¬(¬{E}{a} & ¬{C}{a}) -> ¬{C}{fd} | [
"fact2 & fact1 -> int1: ãã®ãœã¡ããœãLv.39ã¯çºæ£ãã;"
] | [
"fact2 & fact1 -> int1: {B}{b};"
] | ãã®ãŸã«ã
ãŸã®Lv.54ã¯åœ¹ããã | {A}{fd} | [] | 6 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãœããœã«ãLv.61ã¯åœ¹ããã fact2: ããããã®ãœããœã«ãLv.61ã圹ããããšãããšãã®ãœã¡ããœãLv.39ã¯çºæ£ãã fact3: ããããã®ãœã¡ããœãLv.39ã¯å¹ãæããšãããšããã®ãœããœã«ãLv.61ã¯èªå·±ç®çåããªããŠèŠããæããªãããšããããšã¯åœã fact4: ãã®ãœããœã«ãLv.61ã¯èŠããæã fact5: ãã®ãœã¡ããœãLv.39ã¯åœ¹ããã fact6: ããä»®ã«ããã®ãœããœã«ãLv.61ã¯èªå·±ç®çåããªããèŠããæããªãããšããããšã¯äºå®ãšç°ãªãã°ãã®ãŸã«ã
ãŸã®Lv.54ã¯èŠããæããªã ; $hypothesis$ = ãã®ãœã¡ããœãLv.39ã¯èŠããæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {B}{b} fact3: {D}{b} -> ¬(¬{E}{a} & ¬{C}{a}) fact4: {C}{a} fact5: {A}{b} fact6: ¬(¬{E}{a} & ¬{C}{a}) -> ¬{C}{fd} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœããœãLv.7ã¯èŠãæããŠèªæžããããšããããšã¯åœã | ¬({B}{b} & {C}{b}) | fact1: ããã®ãŸããŸãLv.2ã¯èªæžããããšããããšã¯èª€ãã§ãªã fact2: ãã®ãŸããŸã®Lv.71ã¯åã
ãã fact3: ãã®ãœããœãLv.7ã¯äžèŽååãããããã«äžæŽ»æ§åãã fact4: ãã®ãœããœãLv.7ã¯èªæžãã fact5: ãã®ãŽãªãŽãLv.90ã¯èºããããŸãããã¯èŠãæã | fact1: {C}{fc} fact2: {A}{a} fact3: ({FD}{b} & {HI}{b}) fact4: {C}{b} fact5: ({GH}{bc} & {B}{bc}) | [] | [] | null | null | [] | null | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ãŸããŸãLv.2ã¯èªæžããããšããããšã¯èª€ãã§ãªã fact2: ãã®ãŸããŸã®Lv.71ã¯åã
ãã fact3: ãã®ãœããœãLv.7ã¯äžèŽååãããããã«äžæŽ»æ§åãã fact4: ãã®ãœããœãLv.7ã¯èªæžãã fact5: ãã®ãŽãªãŽãLv.90ã¯èºããããŸãããã¯èŠãæã ; $hypothesis$ = ããã®ãœããœãLv.7ã¯èŠãæããŠèªæžããããšããããšã¯åœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{fc} fact2: {A}{a} fact3: ({FD}{b} & {HI}{b}) fact4: {C}{b} fact5: ({GH}{bc} & {B}{bc}) ; $hypothesis$ = ¬({B}{b} & {C}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŽã¡ããŽã«Lv.28ã¯åãæããªããããã¯éçœããªãããšããããšã¯æãç«ããªã | ¬(¬{C}{b} & ¬{D}{b}) | fact1: ãã®ã¿ãã¿ã¡ãLv.44ã¯ããã©ããæããã fact2: ããã©ããªãã¢ã³ã¹ã¿ãŒã¯åãæããªããéçœããªã fact3: ããšããã¢ã³ã¹ã¿ãŒã¯å€ããŠæãããããšããããšã¯èª€ã£ãŠãããšããã°ããã©ããªã fact4: ããããã®ã¿ãã¿ã¡ãLv.44ã¯ããã©ããšããã°ããã®ãŽã¡ããŽã«Lv.28ã¯åãæããªããããã¯éçœããªãããšããããšã¯äºå®ãšç°ãªã | fact1: ({A}{a} & {B}{a}) fact2: (x): ¬{A}x -> (¬{C}x & ¬{D}x) fact3: (x): ¬({E}x & {B}x) -> ¬{A}x fact4: {A}{a} -> ¬(¬{C}{b} & ¬{D}{b}) | [
"fact1 -> int1: ãã®ã¿ãã¿ã¡ãLv.44ã¯ããã©ã; int1 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact4 -> hypothesis;"
] | ãã®ãŽã¡ããŽã«Lv.28ã¯åãæããªããéçœããªã | (¬{C}{b} & ¬{D}{b}) | [
"fact6 -> int2: ããä»®ã«ãã®ã¿ãã¿ã¡ãLv.44ãããã©ããªããšãããåãæããªããŠããã«éçœããšããããšã¯ãªã; fact5 -> int3: ããããã®ã¿ãã¿ã¡ãLv.44ã¯å€ããæŽã«æãããããšããããšã¯ééã£ãŠãããšãããšããã©ããªã;"
] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ãã¿ã¡ãLv.44ã¯ããã©ããæããã fact2: ããã©ããªãã¢ã³ã¹ã¿ãŒã¯åãæããªããéçœããªã fact3: ããšããã¢ã³ã¹ã¿ãŒã¯å€ããŠæãããããšããããšã¯èª€ã£ãŠãããšããã°ããã©ããªã fact4: ããããã®ã¿ãã¿ã¡ãLv.44ã¯ããã©ããšããã°ããã®ãŽã¡ããŽã«Lv.28ã¯åãæããªããããã¯éçœããªãããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = ããã®ãŽã¡ããŽã«Lv.28ã¯åãæããªããããã¯éçœããªãããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ãã®ã¿ãã¿ã¡ãLv.44ã¯ããã©ã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: (x): ¬{A}x -> (¬{C}x & ¬{D}x) fact3: (x): ¬({E}x & {B}x) -> ¬{A}x fact4: {A}{a} -> ¬(¬{C}{b} & ¬{D}{b}) ; $hypothesis$ = ¬(¬{C}{b} & ¬{D}{b}) ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ãã·ãLv.65ã¯å¹³ã£ãããªãããšããããšã¯ééã£ãŠãã | {B}{aa} | fact1: ä»®ã«æµ
ããªãã¢ã³ã¹ã¿ãŒãç解ãé£ããªãã°ããã¯å¹³ã£ãããªã fact2: ãã®ã·ãã·ãLv.65ã¯æµ
ããªãäžæ¹ã§ç解ãé£ã | fact1: (x): (¬{AA}x & {AB}x) -> ¬{B}x fact2: (¬{AA}{aa} & {AB}{aa}) | [
"fact1 -> int1: ãã®ã·ãã·ãLv.65ã¯æµ
ããªããç解ãé£ããšããã°ããã¯å¹³ã£ãããªã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: (¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«æµ
ããªãã¢ã³ã¹ã¿ãŒãç解ãé£ããªãã°ããã¯å¹³ã£ãããªã fact2: ãã®ã·ãã·ãLv.65ã¯æµ
ããªãäžæ¹ã§ç解ãé£ã ; $hypothesis$ = ããã®ã·ãã·ãLv.65ã¯å¹³ã£ãããªãããšããããšã¯ééã£ãŠãã ; $proof$ = | fact1 -> int1: ãã®ã·ãã·ãLv.65ã¯æµ
ããªããç解ãé£ããšããã°ããã¯å¹³ã£ãããªã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): (¬{AA}x & {AB}x) -> ¬{B}x fact2: (¬{AA}{aa} & {AB}{aa}) ; $hypothesis$ = {B}{aa} ; $proof$ = | fact1 -> int1: (¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ããããªLv.77ã¯é£²ã¿æããªãããšããããšã¯ééãã§ãã | {C}{a} | fact1: ãããã®ããããªLv.77ãæå³ãããšããããã®ããããªLv.77ã¯é£²ã¿æã fact2: ãã®ããããªLv.77ã¯æ¯çã fact3: ãã®ããããªLv.77ã¯æ¯çããæå³ãã fact4: ããæ¯çããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒãæå³ãããšãããããã¯é£²ã¿æããªã | fact1: {B}{a} -> {C}{a} fact2: {A}{a} fact3: ({A}{a} & {B}{a}) fact4: (x): (¬{A}x & {B}x) -> ¬{C}x | [
"fact3 -> int1: ãã®ããããªLv.77ã¯æå³ãã; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ããããªLv.77ã¯é£²ã¿æããªã | ¬{C}{a} | [
"fact5 -> int2: ä»®ã«ãã®ããããªLv.77ãæ¯çããªããã©ãããæå³ãããªãã°ããã¯é£²ã¿æããªã;"
] | 4 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®ããããªLv.77ãæå³ãããšããããã®ããããªLv.77ã¯é£²ã¿æã fact2: ãã®ããããªLv.77ã¯æ¯çã fact3: ãã®ããããªLv.77ã¯æ¯çããæå³ãã fact4: ããæ¯çããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒãæå³ãããšãããããã¯é£²ã¿æããªã ; $hypothesis$ = ããã®ããããªLv.77ã¯é£²ã¿æããªãããšããããšã¯ééãã§ãã ; $proof$ = | fact3 -> int1: ãã®ããããªLv.77ã¯æå³ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {C}{a} fact2: {A}{a} fact3: ({A}{a} & {B}{a}) fact4: (x): (¬{A}x & {B}x) -> ¬{C}x ; $hypothesis$ = {C}{a} ; $proof$ = | fact3 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãéãé£ããšããããšãèµ·ãããããããããã«ãLv.90äºä»¶ãèµ·ããããšããããšã¯èª€ãã§ãã | ¬({A} & {B}) | fact1: ãã°ãããããšããããšã¯çºçããªããèŠèŠãããšããããšãèµ·ããããšããããšã¯ãŸããŸãLv.60äºä»¶ãåé¿ãã fact2: ããä»®ã«ãŸããŸãLv.60äºä»¶ã¯çããªããªãã°ãéãé£ããšããããšãçºçããããã®äžãããã«ãLv.90äºä»¶ãçããããšããããšã¯åœã fact3: ãããã«ãLv.90äºä»¶ãèµ·ãã fact4: æµ
é»ããšããããšãèµ·ãããªãæ°æã¡è¯ããšããããšã¯èµ·ããªããŠããã«ã°ãããããšããããšã¯èµ·ãããªã fact5: éãé£ããšããããšãèµ·ãã | fact1: (¬{E} & {D}) -> ¬{C} fact2: ¬{C} -> ¬({A} & {B}) fact3: {B} fact4: {G} -> (¬{F} & ¬{E}) fact5: {A} | [
"fact5 -> int1: éãé£ããšããããšãèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact5 -> int1: {A}; int1 & fact3 -> hypothesis;"
] | ãéãé£ããšããããšãèµ·ãããããããããã«ãLv.90äºä»¶ãèµ·ããããšããããšã¯èª€ãã§ãã | ¬({A} & {B}) | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã°ãããããšããããšã¯çºçããªããèŠèŠãããšããããšãèµ·ããããšããããšã¯ãŸããŸãLv.60äºä»¶ãåé¿ãã fact2: ããä»®ã«ãŸããŸãLv.60äºä»¶ã¯çããªããªãã°ãéãé£ããšããããšãçºçããããã®äžãããã«ãLv.90äºä»¶ãçããããšããããšã¯åœã fact3: ãããã«ãLv.90äºä»¶ãèµ·ãã fact4: æµ
é»ããšããããšãèµ·ãããªãæ°æã¡è¯ããšããããšã¯èµ·ããªããŠããã«ã°ãããããšããããšã¯èµ·ãããªã fact5: éãé£ããšããããšãèµ·ãã ; $hypothesis$ = ãéãé£ããšããããšãèµ·ãããããããããã«ãLv.90äºä»¶ãèµ·ããããšããããšã¯èª€ãã§ãã ; $proof$ = | fact5 -> int1: éãé£ããšããããšãèµ·ãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{E} & {D}) -> ¬{C} fact2: ¬{C} -> ¬({A} & {B}) fact3: {B} fact4: {G} -> (¬{F} & ¬{E}) fact5: {A} ; $hypothesis$ = ¬({A} & {B}) ; $proof$ = | fact5 -> int1: {A}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | æžãæããšããããšãèµ·ãããã·ã¡ãã·ã¡ãLv.3äºä»¶ãçãã | ({B} & {C}) | fact1: ã·ã¡ãã·ã¡ãLv.3äºä»¶ãèµ·ãã fact2: é ç«ããããšãçºçãã fact3: ä»®ã«é ç«ããããšã¯çºçããªããšãããšããæžãæããšããããšãèµ·ãããããã«ã·ã¡ãã·ã¡ãLv.3äºä»¶ãçºçããããšããããšã¯æãç«ã€ããšããããšã¯åœã fact4: ãããèŠããæããšããããšãèµ·ããããŸãã¯ã¿ãã¿ã¡ãLv.56äºä»¶ã¯èµ·ããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯ééã£ãŠãããšãããšãé ç«ããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ fact5: é ç«ããããšã¯æžãæããšããããšã¯èµ·ãããªããšããããšãé»æ¢ãã | fact1: {C} fact2: {A} fact3: ¬{A} -> ¬({B} & {C}) fact4: ¬({E} v ¬{D}) -> ¬{A} fact5: {A} -> {B} | [
"fact5 & fact2 -> int1: ãæžãæããšããããšãçããããšããããšã¯çå®ã§ãã; int1 & fact1 -> hypothesis;"
] | [
"fact5 & fact2 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | ãæžãæããšããããšãšã·ã¡ãã·ã¡ãLv.3äºä»¶ãèµ·ããããšããããšã¯åœã | ¬({B} & {C}) | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã·ã¡ãã·ã¡ãLv.3äºä»¶ãèµ·ãã fact2: é ç«ããããšãçºçãã fact3: ä»®ã«é ç«ããããšã¯çºçããªããšãããšããæžãæããšããããšãèµ·ãããããã«ã·ã¡ãã·ã¡ãLv.3äºä»¶ãçºçããããšããããšã¯æãç«ã€ããšããããšã¯åœã fact4: ãããèŠããæããšããããšãèµ·ããããŸãã¯ã¿ãã¿ã¡ãLv.56äºä»¶ã¯èµ·ããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯ééã£ãŠãããšãããšãé ç«ããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ fact5: é ç«ããããšã¯æžãæããšããããšã¯èµ·ãããªããšããããšãé»æ¢ãã ; $hypothesis$ = æžãæããšããããšãèµ·ãããã·ã¡ãã·ã¡ãLv.3äºä»¶ãçãã ; $proof$ = | fact5 & fact2 -> int1: ãæžãæããšããããšãçããããšããããšã¯çå®ã§ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} fact2: {A} fact3: ¬{A} -> ¬({B} & {C}) fact4: ¬({E} v ¬{D}) -> ¬{A} fact5: {A} -> {B} ; $hypothesis$ = ({B} & {C}) ; $proof$ = | fact5 & fact2 -> int1: {B}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãœããœãLv.74ã¯çãããããã¯æããããšããããšã¯æãç«ããªã | ¬({C}{b} & {B}{b}) | fact1: ãã®ãŸãªãŸã«ãLv.68ã¯è¶è²ã fact2: ãã®ãã«ã
ãã«Lv.9ã¯éãéãããå ããŠããã¯èšèªã¿ãã fact3: ããããã®ãŸãªãŸã«ãLv.68ãè¶è²ããšããããã®ãœããœãLv.74ã¯æãã fact4: ãã®ãœããœãLv.74ã¯çãã | fact1: {A}{a} fact2: ({IG}{bm} & {EF}{bm}) fact3: {A}{a} -> {B}{b} fact4: {C}{b} | [
"fact3 & fact1 -> int1: ãã®ãœããœãLv.74ã¯æãã; int1 & fact4 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: {B}{b}; int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŸãªãŸã«ãLv.68ã¯è¶è²ã fact2: ãã®ãã«ã
ãã«Lv.9ã¯éãéãããå ããŠããã¯èšèªã¿ãã fact3: ããããã®ãŸãªãŸã«ãLv.68ãè¶è²ããšããããã®ãœããœãLv.74ã¯æãã fact4: ãã®ãœããœãLv.74ã¯çãã ; $hypothesis$ = ããã®ãœããœãLv.74ã¯çãããããã¯æããããšããããšã¯æãç«ããªã ; $proof$ = | fact3 & fact1 -> int1: ãã®ãœããœãLv.74ã¯æãã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: ({IG}{bm} & {EF}{bm}) fact3: {A}{a} -> {B}{b} fact4: {C}{b} ; $hypothesis$ = ¬({C}{b} & {B}{b}) ; $proof$ = | fact3 & fact1 -> int1: {B}{b}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãæµ
é»ããšããããšãçããããã®äžãœã¡ããœãLv.64äºä»¶ãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({B} & {C}) | fact1: è¡åè¯ããšããããšãšæµ
é»ããšããããšãèµ·ãã fact2: è¡åè¯ããšããããšãèµ·ãã fact3: ãœã¡ããœãLv.64äºä»¶ãèµ·ãã | fact1: ({A} & {B}) fact2: {A} fact3: {C} | [
"fact1 -> int1: ãæµ
é»ããšããããšãçºçããããšããããšã¯æ¬åœã§ãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {B}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: è¡åè¯ããšããããšãšæµ
é»ããšããããšãèµ·ãã fact2: è¡åè¯ããšããããšãèµ·ãã fact3: ãœã¡ããœãLv.64äºä»¶ãèµ·ãã ; $hypothesis$ = ãæµ
é»ããšããããšãçããããã®äžãœã¡ããœãLv.64äºä»¶ãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | fact1 -> int1: ãæµ
é»ããšããããšãçºçããããšããããšã¯æ¬åœã§ãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: {A} fact3: {C} ; $hypothesis$ = ¬({B} & {C}) ; $proof$ = | fact1 -> int1: {B}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãŸããŸã«ãLv.17äºä»¶ããã³ãã«ãããLv.30äºä»¶ã©ã¡ãããèµ·ãã | ({B} & {C}) | fact1: çŠãŸãããšããããšã¯èµ·ããªããšãããšããŸããŸã«ãLv.17äºä»¶ãèµ·ãããããããã«ãããLv.30äºä»¶ãèµ·ããããšããããšã¯èª€ã£ãŠãã fact2: ããããŸããŸãLv.88äºä»¶ãçºçããªããªããŸã®ãŸãLv.49äºä»¶ã¯çºçããããã«ãããLv.30äºä»¶ã¯çºçããããŸãã¯äž¡æ¹ãšãã fact3: çŠãŸãããšããããšãèµ·ãã fact4: ãã¿ã¡ãã¿ãLv.56äºä»¶ãçããããšããããšã¯æãç«ã€ fact5: çŠãŸãããšããããšã¯ããŸããŸã«ãLv.17äºä»¶ã¯çºçããªãããšããããšãé»ã fact6: ãã«ãããLv.30äºä»¶ãèµ·ãã fact7: ããè³ãããšã¯èµ·ãããªãããšããããšã¯çå®ã ããšããããšã¯äºå®ãšç°ãªã | fact1: ¬{A} -> ¬({B} & {C}) fact2: ¬{E} -> ({D} v {C}) fact3: {A} fact4: {AS} fact5: {A} -> {B} fact6: {C} fact7: {CP} | [
"fact5 & fact3 -> int1: ãŸããŸã«ãLv.17äºä»¶ãçºçãã; int1 & fact6 -> hypothesis;"
] | [
"fact5 & fact3 -> int1: {B}; int1 & fact6 -> hypothesis;"
] | ããŸããŸã«ãLv.17äºä»¶ãšãã«ãããLv.30äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã | ¬({B} & {C}) | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: çŠãŸãããšããããšã¯èµ·ããªããšãããšããŸããŸã«ãLv.17äºä»¶ãèµ·ãããããããã«ãããLv.30äºä»¶ãèµ·ããããšããããšã¯èª€ã£ãŠãã fact2: ããããŸããŸãLv.88äºä»¶ãçºçããªããªããŸã®ãŸãLv.49äºä»¶ã¯çºçããããã«ãããLv.30äºä»¶ã¯çºçããããŸãã¯äž¡æ¹ãšãã fact3: çŠãŸãããšããããšãèµ·ãã fact4: ãã¿ã¡ãã¿ãLv.56äºä»¶ãçããããšããããšã¯æãç«ã€ fact5: çŠãŸãããšããããšã¯ããŸããŸã«ãLv.17äºä»¶ã¯çºçããªãããšããããšãé»ã fact6: ãã«ãããLv.30äºä»¶ãèµ·ãã fact7: ããè³ãããšã¯èµ·ãããªãããšããããšã¯çå®ã ããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = ãŸããŸã«ãLv.17äºä»¶ããã³ãã«ãããLv.30äºä»¶ã©ã¡ãããèµ·ãã ; $proof$ = | fact5 & fact3 -> int1: ãŸããŸã«ãLv.17äºä»¶ãçºçãã; int1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A} -> ¬({B} & {C}) fact2: ¬{E} -> ({D} v {C}) fact3: {A} fact4: {AS} fact5: {A} -> {B} fact6: {C} fact7: {CP} ; $hypothesis$ = ({B} & {C}) ; $proof$ = | fact5 & fact3 -> int1: {B}; int1 & fact6 -> hypothesis; __PROVED__ |
0.3 | æããšããããšãèµ·ãããã¿ã¡ã
ã¿ã«ãLv.3äºä»¶ãèµ·ãã | ({B} & {C}) | fact1: è©Šããããšãçºçãã fact2: ã¿ã¡ã
ã¿ã«ãLv.3äºä»¶ãèµ·ãã fact3: ãŽããŽã«ãLv.58äºä»¶ã¯æããšããããšãæã | fact1: {U} fact2: {C} fact3: {A} -> {B} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: è©Šããããšãçºçãã fact2: ã¿ã¡ã
ã¿ã«ãLv.3äºä»¶ãèµ·ãã fact3: ãŽããŽã«ãLv.58äºä»¶ã¯æããšããããšãæã ; $hypothesis$ = æããšããããšãèµ·ãããã¿ã¡ã
ã¿ã«ãLv.3äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {U} fact2: {C} fact3: {A} -> {B} ; $hypothesis$ = ({B} & {C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã©ã³ã¹äººããããšããããšããã³ãã¡ã
ãã«ãLv.27äºä»¶äž¡æ¹ãçºçããããšããããšã¯åã | ¬({A} & {C}) | fact1: ãã¡ã
ãã«ãLv.27äºä»¶ãèµ·ãã fact2: ãã©ã³ã¹äººããããšããããšããã³ã·ã«ã·ã¡ã
Lv.66äºä»¶äž¡æ¹ãèµ·ãã | fact1: {C} fact2: ({A} & {B}) | [
"fact2 -> int1: ããã©ã³ã¹äººããããšããããšã¯çºçããªãããšããããšã¯åã ; 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: ãã¡ã
ãã«ãLv.27äºä»¶ãèµ·ãã fact2: ãã©ã³ã¹äººããããšããããšããã³ã·ã«ã·ã¡ã
Lv.66äºä»¶äž¡æ¹ãèµ·ãã ; $hypothesis$ = ããã©ã³ã¹äººããããšããããšããã³ãã¡ã
ãã«ãLv.27äºä»¶äž¡æ¹ãçºçããããšããããšã¯åã ; $proof$ = | fact2 -> int1: ããã©ã³ã¹äººããããšããããšã¯çºçããªãããšããããšã¯åã ; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: ({A} & {B}) ; $hypothesis$ = ¬({A} & {C}) ; $proof$ = | fact2 -> int1: {A}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ãã¿ãªLv.14ã¯ãã€ç¡ããªã | ¬{D}{c} | fact1: ä»®ã«ãã®ã¿ãã¿ãªLv.14ãé£ãé£ããšãããšããã¯ãã€ç¡ã fact2: ãã®ãœã¡ããœãLv.33ã¯æŽãéããããããã¯èµ·ããæãããããã¯ã©ã¡ããã fact3: ãããã®ãœã¡ããœãLv.33ãèµ·ããæããšããã°ãã®ã¿ãã¿ãªLv.14ã¯é£ãé£ã fact4: ãããã®ãœã¡ããœãLv.33ãæŽãéããã°ãã®ã¿ãã¿ãªLv.14ã¯é£ãé£ã fact5: ããä»®ã«ãã®ã¿ãã¿ãªLv.14ãåãæããªããšãããšèµ·ããæããå ããŠé£ãé£ã fact6: ãããã®ãœã¡ããœãLv.33ããã€ç¡ããšãããšããã¯æŽãéãã fact7: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãèµ·ããæããªããã€ç¡ããªããããã«ããã¯æŽãéãããšããããšã¯ãªã | fact1: {C}{c} -> {D}{c} fact2: ({A}{a} v {B}{a}) fact3: {B}{a} -> {C}{c} fact4: {A}{a} -> {C}{c} fact5: ¬{E}{c} -> ({B}{c} & {C}{c}) fact6: {D}{a} -> {A}{a} fact7: (x): {B}x -> (¬{D}x & ¬{A}x) | [
"fact2 & fact4 & fact3 -> int1: ãã®ã¿ãã¿ãªLv.14ã¯é£ãé£ã; int1 & fact1 -> hypothesis;"
] | [
"fact2 & fact4 & fact3 -> int1: {C}{c}; int1 & fact1 -> hypothesis;"
] | ãã®ã¿ãã¿ãªLv.14ã¯ãã€ç¡ããªã | ¬{D}{c} | [
"fact8 -> int2: ããä»®ã«ãã®ã¿ãã¿ãªLv.14ãèµ·ããæããšããã°ãã®ã¿ãã¿ãªLv.14ã¯ãã€ç¡ããªããŠãã€ããã¯æŽãéããªã;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã¿ãã¿ãªLv.14ãé£ãé£ããšãããšããã¯ãã€ç¡ã fact2: ãã®ãœã¡ããœãLv.33ã¯æŽãéããããããã¯èµ·ããæãããããã¯ã©ã¡ããã fact3: ãããã®ãœã¡ããœãLv.33ãèµ·ããæããšããã°ãã®ã¿ãã¿ãªLv.14ã¯é£ãé£ã fact4: ãããã®ãœã¡ããœãLv.33ãæŽãéããã°ãã®ã¿ãã¿ãªLv.14ã¯é£ãé£ã fact5: ããä»®ã«ãã®ã¿ãã¿ãªLv.14ãåãæããªããšãããšèµ·ããæããå ããŠé£ãé£ã fact6: ãããã®ãœã¡ããœãLv.33ããã€ç¡ããšãããšããã¯æŽãéãã fact7: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãèµ·ããæããªããã€ç¡ããªããããã«ããã¯æŽãéãããšããããšã¯ãªã ; $hypothesis$ = ãã®ã¿ãã¿ãªLv.14ã¯ãã€ç¡ããªã ; $proof$ = | fact2 & fact4 & fact3 -> int1: ãã®ã¿ãã¿ãªLv.14ã¯é£ãé£ã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{c} -> {D}{c} fact2: ({A}{a} v {B}{a}) fact3: {B}{a} -> {C}{c} fact4: {A}{a} -> {C}{c} fact5: ¬{E}{c} -> ({B}{c} & {C}{c}) fact6: {D}{a} -> {A}{a} fact7: (x): {B}x -> (¬{D}x & ¬{A}x) ; $hypothesis$ = ¬{D}{c} ; $proof$ = | fact2 & fact4 & fact3 -> int1: {C}{c}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã«ã
ãŸã¡ãLv.31ã¯æ¥ããªã | ¬{A}{a} | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¥ãã fact2: ããä»®ã«ãã®ãã«ãããLv.21ã¯å ªãæããšããããšã¯ãªããšãããšããã®ã·ãã·ã¡ã
Lv.63ã¯æšãããã©ããã¯å
¥æåºæ¥ãªãããšããããšã¯æãç«ããªã fact3: ãã®ãŸã®ãŸã®Lv.17ãå ªãæããªããŠç©ºæããããªããšããããã®ãã«ãããLv.21ã¯å ªãæããªã | fact1: (x): {A}x fact2: ¬{D}{c} -> ¬({C}{b} & ¬{B}{b}) fact3: (¬{D}{d} & ¬{F}{d}) -> ¬{D}{c} | [
"fact1 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¥ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ãŸã«ã
ãŸã¡ãLv.31ã¯æ¥ããªã | ¬{A}{a} | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¥ãã fact2: ããä»®ã«ãã®ãã«ãããLv.21ã¯å ªãæããšããããšã¯ãªããšãããšããã®ã·ãã·ã¡ã
Lv.63ã¯æšãããã©ããã¯å
¥æåºæ¥ãªãããšããããšã¯æãç«ããªã fact3: ãã®ãŸã®ãŸã®Lv.17ãå ªãæããªããŠç©ºæããããªããšããããã®ãã«ãããLv.21ã¯å ªãæããªã ; $hypothesis$ = ãã®ãŸã«ã
ãŸã¡ãLv.31ã¯æ¥ããªã ; $proof$ = | fact1 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¥ãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x fact2: ¬{D}{c} -> ¬({C}{b} & ¬{B}{b}) fact3: (¬{D}{d} & ¬{F}{d}) -> ¬{D}{c} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã¡ãã¿ãLv.20ã¯è³ã
ãããªã | ¬{A}{a} | fact1: éäžè¶³ç¡ããèšæž¬åºæ¥ããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact2: ãã®ãœããœãªLv.28ãè³ã
ãããªãã°ãã®ã¿ã¡ãã¿ãLv.20ã¯è³ã
ãã fact3: ãã®ãŸã«ã
ãŸã«ã
Lv.39ãæ°ä»ãæãããã©ããã倩䜿ããããªããªããã®ãœããœãªLv.28ã¯åŒã³æã fact4: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãåŒã³æããšããã°è³ã
ãã fact5: ãããããã®ãœããœãLv.26ã¯éäžè¶³ç¡ããå ããŠèšæž¬åºæ¥ãããšããããšã¯æãç«ããªããšããã°ãã®ã¿ã¡ãã¿ãLv.20ã¯è³ã
ãããªã | fact1: (x): ¬({AA}x & {AB}x) fact2: {A}{b} -> {A}{a} fact3: ({D}{c} & ¬{C}{c}) -> {B}{b} fact4: (x): {B}x -> {A}x fact5: ¬({AA}{aa} & {AB}{aa}) -> ¬{A}{a} | [
"fact1 -> int1: ããã®ãœããœãLv.26ã¯éäžè¶³ç¡ããããã«èšæž¬åºæ¥ãããšããããšã¯æãç«ããªã; int1 & fact5 -> hypothesis;"
] | [
"fact1 -> int1: ¬({AA}{aa} & {AB}{aa}); int1 & fact5 -> hypothesis;"
] | ãã®ã¿ã¡ãã¿ãLv.20ã¯è³ã
ãã | {A}{a} | [
"fact6 -> int2: ãããã®ãœããœãªLv.28ãåŒã³æããšãããšããã¯è³ã
ãã;"
] | 7 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: éäžè¶³ç¡ããèšæž¬åºæ¥ããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact2: ãã®ãœããœãªLv.28ãè³ã
ãããªãã°ãã®ã¿ã¡ãã¿ãLv.20ã¯è³ã
ãã fact3: ãã®ãŸã«ã
ãŸã«ã
Lv.39ãæ°ä»ãæãããã©ããã倩䜿ããããªããªããã®ãœããœãªLv.28ã¯åŒã³æã fact4: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãåŒã³æããšããã°è³ã
ãã fact5: ãããããã®ãœããœãLv.26ã¯éäžè¶³ç¡ããå ããŠèšæž¬åºæ¥ãããšããããšã¯æãç«ããªããšããã°ãã®ã¿ã¡ãã¿ãLv.20ã¯è³ã
ãããªã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ãLv.20ã¯è³ã
ãããªã ; $proof$ = | fact1 -> int1: ããã®ãœããœãLv.26ã¯éäžè¶³ç¡ããããã«èšæž¬åºæ¥ãããšããããšã¯æãç«ããªã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬({AA}x & {AB}x) fact2: {A}{b} -> {A}{a} fact3: ({D}{c} & ¬{C}{c}) -> {B}{b} fact4: (x): {B}x -> {A}x fact5: ¬({AA}{aa} & {AB}{aa}) -> ¬{A}{a} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact1 -> int1: ¬({AA}{aa} & {AB}{aa}); int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | æž©ããšããããšãèµ·ãã | {C} | fact1: ããã©èããšããããšã¯çºçããªããšããããšã¯æžåããããšã«é»ãŸãã fact2: ãåã¡æããšããããšã§ã¯ãªããŸããŸã®Lv.28äºä»¶ãçããããšããããšã¯å€§æ³£ãããããšã¯çºçããªããšããããšã«ããçºçãã fact3: ããæ»ãæããšããããšãèµ·ããã倧泣ãããããšã¯çºçããªãããšããããšã¯çå®ã ããšããããšã¯ããã©èããšããããšã«ç±æ¥ãã fact4: æå°æªããšããããšã¯èµ·ãããªã fact5: åã¡æããšããããšãçºçãã fact6: ããããããœããœãLv.70äºä»¶ãçããããããæžåããããšã¯çããªãããšããããšã¯åã§ããããšããããšã¯æ¬åœã ãšããã°æžåããããšãèµ·ãã | fact1: {H} -> {G} fact2: ¬{E} -> (¬{B} & {D}) fact3: {G} -> ({F} & ¬{E}) fact4: ¬{CI} fact5: {B} fact6: ¬({I} & ¬{H}) -> {H} | [
"fact5 -> int1: ããããLv.39äºä»¶ããããã¯åã¡æããšããããšãèµ·ãã;"
] | [
"fact5 -> int1: ({A} v {B});"
] | æž©ããšããããšãèµ·ãã | {C} | [] | 9 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããã©èããšããããšã¯çºçããªããšããããšã¯æžåããããšã«é»ãŸãã fact2: ãåã¡æããšããããšã§ã¯ãªããŸããŸã®Lv.28äºä»¶ãçããããšããããšã¯å€§æ³£ãããããšã¯çºçããªããšããããšã«ããçºçãã fact3: ããæ»ãæããšããããšãèµ·ããã倧泣ãããããšã¯çºçããªãããšããããšã¯çå®ã ããšããããšã¯ããã©èããšããããšã«ç±æ¥ãã fact4: æå°æªããšããããšã¯èµ·ãããªã fact5: åã¡æããšããããšãçºçãã fact6: ããããããœããœãLv.70äºä»¶ãçããããããæžåããããšã¯çããªãããšããããšã¯åã§ããããšããããšã¯æ¬åœã ãšããã°æžåããããšãèµ·ãã ; $hypothesis$ = æž©ããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {H} -> {G} fact2: ¬{E} -> (¬{B} & {D}) fact3: {G} -> ({F} & ¬{E}) fact4: ¬{CI} fact5: {B} fact6: ¬({I} & ¬{H}) -> {H} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã¿ã«ã¿ã«ã
Lv.35ã¯éè²ç¡ããããã¯é³æ
ããªãããšããããšã¯äºå®ãšç°ãªã | ¬({B}{a} & ¬{C}{a}) | fact1: ãã®ã¿ã«ã¿ã«ã
Lv.35ã¯å
±é³ŽãæããŠããã«ããã¯éè²ç¡ã fact2: ãã®ã¿ã¡ã
ã¿ãLv.89ã¯éè²ç¡ã | fact1: ({A}{a} & {B}{a}) fact2: {B}{jb} | [
"fact1 -> int1: ããã®ã¿ã«ã¿ã«ã
Lv.35ã¯éè²ç¡ãããšããããšã¯æãç«ã€;"
] | [
"fact1 -> int1: {B}{a};"
] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã¿ã«ã¿ã«ã
Lv.35ã¯å
±é³ŽãæããŠããã«ããã¯éè²ç¡ã fact2: ãã®ã¿ã¡ã
ã¿ãLv.89ã¯éè²ç¡ã ; $hypothesis$ = ããã®ã¿ã«ã¿ã«ã
Lv.35ã¯éè²ç¡ããããã¯é³æ
ããªãããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {B}{jb} ; $hypothesis$ = ¬({B}{a} & ¬{C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã¡ããŽã¡ãLv.1ã¯çŽåŸãé£ã | {C}{b} | fact1: ããã®ãã«ãããLv.77ã¯åæºãå§ããããšããããšã¯æãç«ã€ fact2: ãã®ãã«ãããLv.77ã¯ããããŸãããããŸãã«æ±ãé£ã fact3: ãããã®ãã«ãããLv.77ãæ±ãé£ããšããã°ãã®ãŽã¡ããŽã¡ãLv.1ã¯çŽåŸãé£ã fact4: ãã®ãŸããŸãLv.8ã¯æ±ãé£ã | fact1: {HM}{a} fact2: ({A}{a} & {B}{a}) fact3: {B}{a} -> {C}{b} fact4: {B}{fn} | [
"fact2 -> int1: ãã®ãã«ãããLv.77ã¯æ±ãé£ã; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {B}{a}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ãã«ãããLv.77ã¯åæºãå§ããããšããããšã¯æãç«ã€ fact2: ãã®ãã«ãããLv.77ã¯ããããŸãããããŸãã«æ±ãé£ã fact3: ãããã®ãã«ãããLv.77ãæ±ãé£ããšããã°ãã®ãŽã¡ããŽã¡ãLv.1ã¯çŽåŸãé£ã fact4: ãã®ãŸããŸãLv.8ã¯æ±ãé£ã ; $hypothesis$ = ãã®ãŽã¡ããŽã¡ãLv.1ã¯çŽåŸãé£ã ; $proof$ = | fact2 -> int1: ãã®ãã«ãããLv.77ã¯æ±ãé£ã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {HM}{a} fact2: ({A}{a} & {B}{a}) fact3: {B}{a} -> {C}{b} fact4: {B}{fn} ; $hypothesis$ = {C}{b} ; $proof$ = | fact2 -> int1: {B}{a}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãä¹³èããšããããšãèµ·ããããšããããšã¯æãç«ã€ | {B} | fact1: 空ã
ãããšããããšãçºçãã fact2: 空ã
ãããšããããšãèµ·ãããšããããšã¯ä¹³èããšããããšã®åå ãšãªã fact3: ããŽããŽãLv.45äºä»¶ã¯èµ·ããªãããšããããšã¯ãã£ããªããšããããšã«é»æ¢ããã | fact1: {A} fact2: {A} -> {B} fact3: {IO} -> {FI} | [
"fact1 -> int1: 空ã
ãããšããããšãçºçãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: 空ã
ãããšããããšãçºçãã fact2: 空ã
ãããšããããšãèµ·ãããšããããšã¯ä¹³èããšããããšã®åå ãšãªã fact3: ããŽããŽãLv.45äºä»¶ã¯èµ·ããªãããšããããšã¯ãã£ããªããšããããšã«é»æ¢ããã ; $hypothesis$ = ãä¹³èããšããããšãèµ·ããããšããããšã¯æãç«ã€ ; $proof$ = | fact1 -> int1: 空ã
ãããšããããšãçºçãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {A} -> {B} fact3: {IO} -> {FI} ; $hypothesis$ = {B} ; $proof$ = | fact1 -> int1: {A}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœãLv.71ã¯éããŠæŽã«å»ã¿ã£ãœã | ({B}{a} & {C}{a}) | fact1: ãã®ãœããœãLv.71ã¯åãé£ã fact2: ããä»®ã«ãã®ãœããœãLv.71ãåãé£ããšããã°éã fact3: ãã®ãœããœãLv.71ã¯å»ã¿ã£ãœã | fact1: {A}{a} fact2: {A}{a} -> {B}{a} fact3: {C}{a} | [
"fact2 & fact1 -> int1: ãã®ãœããœãLv.71ã¯éã; int1 & fact3 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: {B}{a}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãœããœãLv.71ã¯åãé£ã fact2: ããä»®ã«ãã®ãœããœãLv.71ãåãé£ããšããã°éã fact3: ãã®ãœããœãLv.71ã¯å»ã¿ã£ãœã ; $hypothesis$ = ãã®ãœããœãLv.71ã¯éããŠæŽã«å»ã¿ã£ãœã ; $proof$ = | fact2 & fact1 -> int1: ãã®ãœããœãLv.71ã¯éã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {B}{a} fact3: {C}{a} ; $hypothesis$ = ({B}{a} & {C}{a}) ; $proof$ = | fact2 & fact1 -> int1: {B}{a}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸã¡ãLv.46ã¯é
èããªã | ¬{A}{a} | fact1: ä»®ã«ãã®ã¿ã«ãã¿ãLv.22ãéã³æããªããªãã°ãã®ãŸããŸã¡ãLv.46ã¯çããªãããããé¢çœã fact2: ãããããã¢ã³ã¹ã¿ãŒã¯åäŸã£ãœããªããšãããšãããã¯èãæ·±ããªããããã¯é
èãããšããããšã¯äºå®ã ãšããããšã¯ãªã fact3: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯çããšããããšã¯ãªããã©é¢çœããšãããäžžããªã fact4: ãã®ã¿ã«ãã¿ãLv.22ã¯éã³æããªã fact5: äžžããªãã¢ã³ã¹ã¿ãŒã¯åäŸã£ãœããèãæ·±ã | fact1: ¬{G}{b} -> (¬{F}{a} & {E}{a}) fact2: (x): ¬{B}x -> ¬(¬{C}x & {A}x) fact3: (x): (¬{F}x & {E}x) -> ¬{D}x fact4: ¬{G}{b} fact5: (x): ¬{D}x -> ({B}x & {C}x) | [] | [] | ãã®ãŸããŸã¡ã
Lv.8ã¯é
èã | {A}{ga} | [
"fact8 -> int1: ããã®ãŸããŸã¡ãLv.46ã¯äžžããªãããšããããšã¯ç¢ºããªãã°ããã¯åäŸã£ãœããŠæŽã«ããã¯èãæ·±ã; fact7 -> int2: ä»®ã«ããã®ãŸããŸã¡ãLv.46ã¯çããªãããããé¢çœãããšããããšã¯äºå®ã ãšãããäžžããªã; fact9 & fact6 -> int3: ãã®ãŸããŸã¡ãLv.46ã¯çããªãäžæ¹ã§é¢çœã; int2 & int3 -> int4: ãã®ãŸããŸã¡ãLv.46ã¯äžžããªã; int1 & int4 -> int5: ãã®ãŸããŸã¡ãLv.46ã¯åäŸã£ãœããŠæŽã«èãæ·±ã; int5 -> int6: ãã®ãŸããŸã¡ãLv.46ã¯åäŸã£ãœã; int6 -> int7: ãåäŸã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã¿ã«ãã¿ãLv.22ãéã³æããªããªãã°ãã®ãŸããŸã¡ãLv.46ã¯çããªãããããé¢çœã fact2: ãããããã¢ã³ã¹ã¿ãŒã¯åäŸã£ãœããªããšãããšãããã¯èãæ·±ããªããããã¯é
èãããšããããšã¯äºå®ã ãšããããšã¯ãªã fact3: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯çããšããããšã¯ãªããã©é¢çœããšãããäžžããªã fact4: ãã®ã¿ã«ãã¿ãLv.22ã¯éã³æããªã fact5: äžžããªãã¢ã³ã¹ã¿ãŒã¯åäŸã£ãœããèãæ·±ã ; $hypothesis$ = ãã®ãŸããŸã¡ãLv.46ã¯é
èããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{G}{b} -> (¬{F}{a} & {E}{a}) fact2: (x): ¬{B}x -> ¬(¬{C}x & {A}x) fact3: (x): (¬{F}x & {E}x) -> ¬{D}x fact4: ¬{G}{b} fact5: (x): ¬{D}x -> ({B}x & {C}x) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŽã«ãŽã¡ãLv.82äºä»¶ã¯èµ·ããªã | ¬{C} | fact1: ãœããœãLv.35äºä»¶ãšã·ãã·ã«ã
Lv.73äºä»¶ã©ã¡ãããèµ·ãã fact2: ãŒãããšããããšã¯çºçããªããšããããšããããã¯ãŸã«ããŸãLv.27äºä»¶ããããã¯äž¡æ¹ã¯ããŒãããšããããšã¯çããªãããšããããšã«ç¹ãã fact3: æ»ãæããšããããšãçºçãã fact4: ãœããœãLv.35äºä»¶ãèµ·ãã fact5: ãŒãããšããããšã¯çããªããªãã°ããœããœãLv.35äºä»¶ã§ã¯ãªãã·ãã·ã«ã
Lv.73äºä»¶ãèµ·ããããšããããšã¯èª€ãã§ãã | fact1: ({A} & {B}) fact2: (¬{D} v {E}) -> ¬{D} fact3: {AG} fact4: {A} fact5: ¬{D} -> ¬(¬{A} & {B}) | [
"fact1 -> int1: ã·ãã·ã«ã
Lv.73äºä»¶ãçºçãã;"
] | [
"fact1 -> int1: {B};"
] | ãŽã«ãŽã¡ãLv.82äºä»¶ã¯èµ·ããªã | ¬{C} | [] | 7 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãœããœãLv.35äºä»¶ãšã·ãã·ã«ã
Lv.73äºä»¶ã©ã¡ãããèµ·ãã fact2: ãŒãããšããããšã¯çºçããªããšããããšããããã¯ãŸã«ããŸãLv.27äºä»¶ããããã¯äž¡æ¹ã¯ããŒãããšããããšã¯çããªãããšããããšã«ç¹ãã fact3: æ»ãæããšããããšãçºçãã fact4: ãœããœãLv.35äºä»¶ãèµ·ãã fact5: ãŒãããšããããšã¯çããªããªãã°ããœããœãLv.35äºä»¶ã§ã¯ãªãã·ãã·ã«ã
Lv.73äºä»¶ãèµ·ããããšããããšã¯èª€ãã§ãã ; $hypothesis$ = ãŽã«ãŽã¡ãLv.82äºä»¶ã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) fact2: (¬{D} v {E}) -> ¬{D} fact3: {AG} fact4: {A} fact5: ¬{D} -> ¬(¬{A} & {B}) ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ãLv.80ã¯ããè¥ããªã | ¬{B}{aa} | fact1: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãããè¥ããšãããšå±ãæããªã fact2: ããä»®ã«ãã®ãŸã¡ããŸã«ãLv.64ãèžããããããã¯ããã¯å³ã
ããããããã¯ã©ã¡ããã§ãããšãããå±ãæããªã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å±ãæããªããŠããã«ããè¥ããªã | fact1: (x): {B}x -> ¬{A}x fact2: ({D}{a} v {C}{a}) -> ¬{A}{a} fact3: (x): (¬{A}x & ¬{B}x) | [
"fact3 -> int1: ãã®ã·ãã·ãLv.80ã¯å±ãæããªããŠããè¥ããªã; int1 -> hypothesis;"
] | [
"fact3 -> int1: (¬{A}{aa} & ¬{B}{aa}); int1 -> hypothesis;"
] | ãã®ã·ãã·ãLv.80ã¯ããè¥ã | {B}{aa} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãããè¥ããšãããšå±ãæããªã fact2: ããä»®ã«ãã®ãŸã¡ããŸã«ãLv.64ãèžããããããã¯ããã¯å³ã
ããããããã¯ã©ã¡ããã§ãããšãããå±ãæããªã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å±ãæããªããŠããã«ããè¥ããªã ; $hypothesis$ = ãã®ã·ãã·ãLv.80ã¯ããè¥ããªã ; $proof$ = | fact3 -> int1: ãã®ã·ãã·ãLv.80ã¯å±ãæããªããŠããè¥ããªã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {B}x -> ¬{A}x fact2: ({D}{a} v {C}{a}) -> ¬{A}{a} fact3: (x): (¬{A}x & ¬{B}x) ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | fact3 -> int1: (¬{A}{aa} & ¬{B}{aa}); int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ããããªLv.66ã¯ãã€ãã£ãããããªã | ¬{C}{b} | fact1: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãéãããªãããã¯ãã€ãã£ãããã fact2: ããããã®ããããªLv.66ãçŸãããªãã°ãã®ããããªLv.66ã¯ãã€ãã£ãããããªãããšããããšã¯æ£ãã fact3: ãã®ãŽããŽã¡ãLv.77ã¯éãã fact4: ãã®ãŽããŽã¡ãLv.77ãéãããªããã®ããããªLv.66ã¯çŸãã | fact1: (x): {A}x -> {C}x fact2: {B}{b} -> ¬{C}{b} fact3: {A}{a} fact4: {A}{a} -> {B}{b} | [
"fact4 & fact3 -> int1: ãã®ããããªLv.66ã¯çŸãã; int1 & fact2 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: {B}{b}; int1 & fact2 -> hypothesis;"
] | ãã®ããããªLv.66ã¯ãã€ãã£ãããã | {C}{b} | [
"fact5 -> int2: ãã®ããããªLv.66ãéãããšããã°ããã¯ãã€ãã£ãããã;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãéãããªãããã¯ãã€ãã£ãããã fact2: ããããã®ããããªLv.66ãçŸãããªãã°ãã®ããããªLv.66ã¯ãã€ãã£ãããããªãããšããããšã¯æ£ãã fact3: ãã®ãŽããŽã¡ãLv.77ã¯éãã fact4: ãã®ãŽããŽã¡ãLv.77ãéãããªããã®ããããªLv.66ã¯çŸãã ; $hypothesis$ = ãã®ããããªLv.66ã¯ãã€ãã£ãããããªã ; $proof$ = | fact4 & fact3 -> int1: ãã®ããããªLv.66ã¯çŸãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x -> {C}x fact2: {B}{b} -> ¬{C}{b} fact3: {A}{a} fact4: {A}{a} -> {B}{b} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact4 & fact3 -> int1: {B}{b}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãŽã¡ããŽãLv.93äºä»¶ãšã·ã«ã·ã«ãLv.37äºä»¶äž¡æ¹ãšããçãã | ({B} & {A}) | fact1: è³ãããšããããšã¯è³ãããšããããšã¯èµ·ããªããšããããšããããã¯æ§åããããšããããšããããã¯ã©ã¡ããã«é»ãŸãã fact2: ã·ã«ã·ã«ãLv.37äºä»¶ãçºçãã fact3: ãŽã¡ããŽãLv.93äºä»¶ãçãã fact4: ããè³ãããšããããšã¯èµ·ãããªããšããã°ããŽã¡ããŽãLv.93äºä»¶ãšã·ã«ã·ã«ãLv.37äºä»¶ã©ã¡ãããçºçããããšããããšã¯æãç«ããªã | fact1: (¬{C} v {E}) -> ¬{C} fact2: {A} fact3: {B} fact4: ¬{C} -> ¬({B} & {A}) | [
"fact2 -> int1: ã·ã«ã·ã«ãLv.37äºä»¶ãçºçãã; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact3 -> hypothesis;"
] | ãããŽã¡ããŽãLv.93äºä»¶ãèµ·ããããã®äžã·ã«ã·ã«ãLv.37äºä»¶ãèµ·ããããšããããšã¯æ£ããããšããããšã¯æãç«ããªã | ¬({B} & {A}) | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: è³ãããšããããšã¯è³ãããšããããšã¯èµ·ããªããšããããšããããã¯æ§åããããšããããšããããã¯ã©ã¡ããã«é»ãŸãã fact2: ã·ã«ã·ã«ãLv.37äºä»¶ãçºçãã fact3: ãŽã¡ããŽãLv.93äºä»¶ãçãã fact4: ããè³ãããšããããšã¯èµ·ãããªããšããã°ããŽã¡ããŽãLv.93äºä»¶ãšã·ã«ã·ã«ãLv.37äºä»¶ã©ã¡ãããçºçããããšããããšã¯æãç«ããªã ; $hypothesis$ = ãŽã¡ããŽãLv.93äºä»¶ãšã·ã«ã·ã«ãLv.37äºä»¶äž¡æ¹ãšããçãã ; $proof$ = | fact2 -> int1: ã·ã«ã·ã«ãLv.37äºä»¶ãçºçãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{C} v {E}) -> ¬{C} fact2: {A} fact3: {B} fact4: ¬{C} -> ¬({B} & {A}) ; $hypothesis$ = ({B} & {A}) ; $proof$ = | fact2 -> int1: {A}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | åãé£ããšããããšãèµ·ãã | {C} | fact1: åæããããšãèµ·ãã fact2: ãåãé£ããšããããšã¯ãåæããããšãçºçãããå ããŠæ ¹æ°è¯ããšããããšãèµ·ããããšããããšã«é»æ¢ãããããšããããšã¯æ£ãã fact3: ãæ ¹æ°è¯ããšããããšãçããããšããããšã¯èª€ãã§ãªã fact4: ãå·ä»ãæããšããããšãèµ·ããããšããããšã¯çå®ã fact5: ããä»®ã«ãæ ¹æ°è¯ããšããããšã¯çºçããªãããããã¯åæããããšãçºçããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªããšããã°åãé£ããšããããšãçãã | fact1: {A} fact2: ({A} & {B}) -> ¬{C} fact3: {B} fact4: {HN} fact5: ¬(¬{B} v {A}) -> {C} | [
"fact1 & fact3 -> int1: ãåæããããšãçºçãããæŽã«æ ¹æ°è¯ããšããããšãèµ·ããããšããããšã¯æ£ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis;"
] | åãé£ããšããããšãèµ·ãã | {C} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: åæããããšãèµ·ãã fact2: ãåãé£ããšããããšã¯ãåæããããšãçºçãããå ããŠæ ¹æ°è¯ããšããããšãèµ·ããããšããããšã«é»æ¢ãããããšããããšã¯æ£ãã fact3: ãæ ¹æ°è¯ããšããããšãçããããšããããšã¯èª€ãã§ãªã fact4: ãå·ä»ãæããšããããšãèµ·ããããšããããšã¯çå®ã fact5: ããä»®ã«ãæ ¹æ°è¯ããšããããšã¯çºçããªãããããã¯åæããããšãçºçããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªããšããã°åãé£ããšããããšãçãã ; $hypothesis$ = åãé£ããšããããšãèµ·ãã ; $proof$ = | fact1 & fact3 -> int1: ãåæããããšãçºçãããæŽã«æ ¹æ°è¯ããšããããšãèµ·ããããšããããšã¯æ£ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: ({A} & {B}) -> ¬{C} fact3: {B} fact4: {HN} fact5: ¬(¬{B} v {A}) -> {C} ; $hypothesis$ = {C} ; $proof$ = | fact1 & fact3 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãªLv.86ã¯åŸ¡åŽãã | {C}{a} | fact1: ãã®ãŽããŽãªLv.86ã¯æã fact2: ããä»®ã«ããã®ãœããœãLv.81ã¯è§£ãæããªãããã€ããã¯åŸ¡åŽãããªãããšããããšã¯ééãã ãšããã°ãã®ãŽããŽãªLv.86ã¯åŸ¡åŽãããªã fact3: ãã®ãŽããŽãªLv.86ã埡åŽãããªããšãããšãã®ãŸã«ããŸã«ãLv.74ã¯é Œã¿é£ããå ããŠæã fact4: ãã®ãŽããŽãªLv.86ã¯æãæã fact5: ãã®ãœã«ããœã«ãLv.10ã¯é Œã¿é£ã fact6: ä»®ã«ãã®ãŽããŽãªLv.86ãé Œã¿é£ããªããã®ãŽããŽãªLv.86ã¯åŸ¡åŽãã fact7: ããããã¢ã³ã¹ã¿ãŒã¯èã£ãããªããšããã°ãããã¯é Œã¿é£ããªããå ããŠæããšããããšã¯ãªãããšããããšã¯çå®ã§ãªã | fact1: {A}{a} fact2: ¬(¬{E}{b} & ¬{C}{b}) -> ¬{C}{a} fact3: ¬{C}{a} -> ({B}{fq} & {A}{fq}) fact4: {AD}{a} fact5: {B}{gt} fact6: {B}{a} -> {C}{a} fact7: (x): ¬{D}x -> ¬(¬{B}x & ¬{A}x) | [] | [] | ããã®ãŸã«ããŸã«ãLv.74ã¯æãããšããããšã¯æ£ãã | {A}{fq} | [] | 6 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãŽããŽãªLv.86ã¯æã fact2: ããä»®ã«ããã®ãœããœãLv.81ã¯è§£ãæããªãããã€ããã¯åŸ¡åŽãããªãããšããããšã¯ééãã ãšããã°ãã®ãŽããŽãªLv.86ã¯åŸ¡åŽãããªã fact3: ãã®ãŽããŽãªLv.86ã埡åŽãããªããšãããšãã®ãŸã«ããŸã«ãLv.74ã¯é Œã¿é£ããå ããŠæã fact4: ãã®ãŽããŽãªLv.86ã¯æãæã fact5: ãã®ãœã«ããœã«ãLv.10ã¯é Œã¿é£ã fact6: ä»®ã«ãã®ãŽããŽãªLv.86ãé Œã¿é£ããªããã®ãŽããŽãªLv.86ã¯åŸ¡åŽãã fact7: ããããã¢ã³ã¹ã¿ãŒã¯èã£ãããªããšããã°ãããã¯é Œã¿é£ããªããå ããŠæããšããããšã¯ãªãããšããããšã¯çå®ã§ãªã ; $hypothesis$ = ãã®ãŽããŽãªLv.86ã¯åŸ¡åŽãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: ¬(¬{E}{b} & ¬{C}{b}) -> ¬{C}{a} fact3: ¬{C}{a} -> ({B}{fq} & {A}{fq}) fact4: {AD}{a} fact5: {B}{gt} fact6: {B}{a} -> {C}{a} fact7: (x): ¬{D}x -> ¬(¬{B}x & ¬{A}x) ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã«ãã®Lv.25ã¯åŒŸãæã | {B}{c} | fact1: ãã®ã¿ãªã¿ã«ãLv.47ã¯æžãŸç¡ããªããªãã°ããã®ããããLv.71ã¯åŸ©èª¿ãããå ããŠã©ãã€ãããšããããšã¯äºå®ã§ãªã fact2: ä»®ã«ãã®ã¿ãªã¿ã«ãLv.47ã匟ãæããªããããã埩調ãããšããããã®ãŽããŽã¡ãLv.37ã¯åŸ©èª¿ããªã fact3: ããããã®ããããLv.71ã¯åŸ©èª¿ãããå ããŠã©ãã€ãããšããããšã¯æãç«ããªããšãããšãã®ãã«ãã®Lv.25ã¯åŒŸãæããªã | fact1: ¬{A}{a} -> ¬({AA}{b} & {AB}{b}) fact2: (¬{B}{a} & {AA}{a}) -> ¬{AA}{dh} fact3: ¬({AA}{b} & {AB}{b}) -> ¬{B}{c} | [] | [] | ãã®ãŽããŽã¡ãLv.37ã¯åŸ©èª¿ããªã | ¬{AA}{dh} | [] | 6 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã¿ãªã¿ã«ãLv.47ã¯æžãŸç¡ããªããªãã°ããã®ããããLv.71ã¯åŸ©èª¿ãããå ããŠã©ãã€ãããšããããšã¯äºå®ã§ãªã fact2: ä»®ã«ãã®ã¿ãªã¿ã«ãLv.47ã匟ãæããªããããã埩調ãããšããããã®ãŽããŽã¡ãLv.37ã¯åŸ©èª¿ããªã fact3: ããããã®ããããLv.71ã¯åŸ©èª¿ãããå ããŠã©ãã€ãããšããããšã¯æãç«ããªããšãããšãã®ãã«ãã®Lv.25ã¯åŒŸãæããªã ; $hypothesis$ = ãã®ãã«ãã®Lv.25ã¯åŒŸãæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A}{a} -> ¬({AA}{b} & {AB}{b}) fact2: (¬{B}{a} & {AA}{a}) -> ¬{AA}{dh} fact3: ¬({AA}{b} & {AB}{b}) -> ¬{B}{c} ; $hypothesis$ = {B}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã¡ã
ãœã¡ã
Lv.57ã¯éãæããªã | ¬{D}{c} | fact1: ãã®ã·ã«ã
ã·ã¡ãLv.35ã¯åã£ãœãããããã¯çµåãæã fact2: ä»®ã«ãã®ã·ã«ã
ã·ã¡ãLv.35ãåã£ãœããªããã®ãœã¡ã
ãœã¡ã
Lv.57ã¯åŸ¡æªã fact3: ããã®ã·ã«ã
ã·ã¡ãLv.35ã¯éãæãããšããããšã¯æ£ãã fact4: ä»®ã«ãã®ãœã¡ã
ãœã¡ã
Lv.57ã埡æªããªãã°ãã®ãœã¡ã
ãœã¡ã
Lv.57ã¯éãæã | fact1: ({A}{a} v {B}{a}) fact2: {A}{a} -> {C}{c} fact3: {D}{a} fact4: {C}{c} -> {D}{c} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ã«ã
ã·ã¡ãLv.35ã¯åã£ãœãããããã¯çµåãæã fact2: ä»®ã«ãã®ã·ã«ã
ã·ã¡ãLv.35ãåã£ãœããªããã®ãœã¡ã
ãœã¡ã
Lv.57ã¯åŸ¡æªã fact3: ããã®ã·ã«ã
ã·ã¡ãLv.35ã¯éãæãããšããããšã¯æ£ãã fact4: ä»®ã«ãã®ãœã¡ã
ãœã¡ã
Lv.57ã埡æªããªãã°ãã®ãœã¡ã
ãœã¡ã
Lv.57ã¯éãæã ; $hypothesis$ = ãã®ãœã¡ã
ãœã¡ã
Lv.57ã¯éãæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} v {B}{a}) fact2: {A}{a} -> {C}{c} fact3: {D}{a} fact4: {C}{c} -> {D}{c} ; $hypothesis$ = ¬{D}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ãLv.35ã¯å
±ååºæ¥ããšããããšã¯ãªã | ¬{C}{b} | fact1: ããããã¢ã³ã¹ã¿ãŒã匱ããšãããšå
±ååºæ¥ãªã fact2: ãããããã®ã·ã«ãã·ã¡ã
Lv.24ã¯ãã³ãããŒã¯ããªãããšããããšã¯æãç«ãŠã°ãã®ã·ãã·ãLv.35ã¯åŒ±ããæ»ãæ¶ã fact3: ãä»®ã«ãã®ã·ã«ãã·ã¡ã
Lv.24ã匱ããšããã°ãã®ã·ãã·ãLv.35ã¯å
±ååºæ¥ãããšããããšã¯æ¬åœã fact4: ãã®ã·ã«ãã·ã¡ã
Lv.24ã¯åŒ±ããããã¯æ»ãæ¶ã fact5: ãã®ã·ã«ãã·ã¡ã
Lv.24ã¯æ»ãæ¶ã | fact1: (x): {A}x -> ¬{C}x fact2: ¬{D}{a} -> ({A}{b} & {B}{b}) fact3: {A}{a} -> {C}{b} fact4: ({A}{a} & {B}{a}) fact5: {B}{a} | [
"fact4 -> int1: ãã®ã·ã«ãã·ã¡ã
Lv.24ã¯åŒ±ã; int1 & fact3 -> hypothesis;"
] | [
"fact4 -> int1: {A}{a}; int1 & fact3 -> hypothesis;"
] | ãã®ã·ãã·ãLv.35ã¯å
±ååºæ¥ããšããããšã¯ãªã | ¬{C}{b} | [
"fact6 -> int2: ããããã®ã·ãã·ãLv.35ã匱ããšãããããã¯å
±ååºæ¥ãªã;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã匱ããšãããšå
±ååºæ¥ãªã fact2: ãããããã®ã·ã«ãã·ã¡ã
Lv.24ã¯ãã³ãããŒã¯ããªãããšããããšã¯æãç«ãŠã°ãã®ã·ãã·ãLv.35ã¯åŒ±ããæ»ãæ¶ã fact3: ãä»®ã«ãã®ã·ã«ãã·ã¡ã
Lv.24ã匱ããšããã°ãã®ã·ãã·ãLv.35ã¯å
±ååºæ¥ãããšããããšã¯æ¬åœã fact4: ãã®ã·ã«ãã·ã¡ã
Lv.24ã¯åŒ±ããããã¯æ»ãæ¶ã fact5: ãã®ã·ã«ãã·ã¡ã
Lv.24ã¯æ»ãæ¶ã ; $hypothesis$ = ãã®ã·ãã·ãLv.35ã¯å
±ååºæ¥ããšããããšã¯ãªã ; $proof$ = | fact4 -> int1: ãã®ã·ã«ãã·ã¡ã
Lv.24ã¯åŒ±ã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x -> ¬{C}x fact2: ¬{D}{a} -> ({A}{b} & {B}{b}) fact3: {A}{a} -> {C}{b} fact4: ({A}{a} & {B}{a}) fact5: {B}{a} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact4 -> int1: {A}{a}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãã¡ãããLv.64ã¯èª¿ã¹æãããšããããšã¯äºå®ã§ãã | {B}{aa} | fact1: ãã®ãã¡ãããLv.64ã¯æ±ãé£ããªãã埡åãç¡ããªã fact2: ãããã®ãŽãªãŽãªLv.95ã¯å»ã¿ã£ãœããšããããšã¯ãªããªãããã®ãŽãªãŽãªLv.95ã¯å£²ãé£ããããã«ããã¯éžæããæãããšããããšã¯èª€ã£ãŠãã fact3: ããä»®ã«ããã®ãŽãªãŽãªLv.95ã¯å£²ãé£ããŠéžæããæãããšããããšã¯åã ãšããã°ãã®ãã¡ãããLv.64ã¯éžæããæããšããããšã¯ãªã fact4: ãæšãã¢ã³ã¹ã¿ãŒã¯èª¿ã¹æãããšããããšã¯æãç«ã€ fact5: éžæããæããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯æšããæŽã«æ¶èã | fact1: (¬{AA}{aa} & ¬{AB}{aa}) fact2: ¬{F}{a} -> ¬({E}{a} & {D}{a}) fact3: ¬({E}{a} & {D}{a}) -> ¬{D}{aa} fact4: (x): {A}x -> {B}x fact5: (x): ¬{D}x -> ({A}x & {C}x) | [] | [] | ããã®ãã¡ãããLv.64ã¯èª¿ã¹æãããšããããšã¯äºå®ã§ãã | {B}{aa} | [
"fact9 -> int1: ãããã®ãã¡ãããLv.64ã¯æšããªãããã®ãã¡ãããLv.64ã¯èª¿ã¹æãããšããããšã¯æ¬åœã ; fact8 -> int2: ãããã®ãã¡ãããLv.64ã¯éžæããæããªããªãããã®ãã¡ãããLv.64ã¯æšããŠæ¶èãããšããããšã¯æãç«ã€;"
] | 7 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãã¡ãããLv.64ã¯æ±ãé£ããªãã埡åãç¡ããªã fact2: ãããã®ãŽãªãŽãªLv.95ã¯å»ã¿ã£ãœããšããããšã¯ãªããªãããã®ãŽãªãŽãªLv.95ã¯å£²ãé£ããããã«ããã¯éžæããæãããšããããšã¯èª€ã£ãŠãã fact3: ããä»®ã«ããã®ãŽãªãŽãªLv.95ã¯å£²ãé£ããŠéžæããæãããšããããšã¯åã ãšããã°ãã®ãã¡ãããLv.64ã¯éžæããæããšããããšã¯ãªã fact4: ãæšãã¢ã³ã¹ã¿ãŒã¯èª¿ã¹æãããšããããšã¯æãç«ã€ fact5: éžæããæããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯æšããæŽã«æ¶èã ; $hypothesis$ = ããã®ãã¡ãããLv.64ã¯èª¿ã¹æãããšããããšã¯äºå®ã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{aa} & ¬{AB}{aa}) fact2: ¬{F}{a} -> ¬({E}{a} & {D}{a}) fact3: ¬({E}{a} & {D}{a}) -> ¬{D}{aa} fact4: (x): {A}x -> {B}x fact5: (x): ¬{D}x -> ({A}x & {C}x) ; $hypothesis$ = {B}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã«ã
ããLv.61ã¯äº¡ããªããšããããšã¯ãªã | ¬{B}{b} | fact1: ããããã®ã·ã«ã·ã®Lv.55ãå¹³ã£ãããšããããã®ãã®ããLv.69ã¯è¿·ãé£ã fact2: ãã®ãœã¡ã
ãœãLv.22ãæããªãã°ãã®ãã«ã
ããLv.61ã¯äº¡ããªã fact3: ãã®ãœã¡ã
ãœãLv.22ã¯æã fact4: ããã®ãœã¡ã
ãœãLv.22ã¯æããã©è¿·ãé£ããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãªããšããããã®ãã«ã
ããLv.61ã¯äº¡ããªããªã fact5: ããã®ãã«ã
ããLv.61ã¯æãããšããããšã¯æ¬åœã§ãã fact6: ããä»®ã«ãã®ãã«ã
ããLv.61ãæããšãããšãã®ãœã¡ã
ãœãLv.22ã¯äº¡ããªã | fact1: {D}{d} -> {C}{c} fact2: {A}{a} -> {B}{b} fact3: {A}{a} fact4: ¬({A}{a} & ¬{C}{a}) -> ¬{B}{b} fact5: {A}{b} fact6: {A}{b} -> {B}{a} | [
"fact3 -> int1: ãã®ãœã¡ã
ãœãLv.22ã¯æã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ãã«ã
ããLv.61ã¯äº¡ããªããšããããšã¯ãªã | ¬{B}{b} | [] | 4 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ã·ã«ã·ã®Lv.55ãå¹³ã£ãããšããããã®ãã®ããLv.69ã¯è¿·ãé£ã fact2: ãã®ãœã¡ã
ãœãLv.22ãæããªãã°ãã®ãã«ã
ããLv.61ã¯äº¡ããªã fact3: ãã®ãœã¡ã
ãœãLv.22ã¯æã fact4: ããã®ãœã¡ã
ãœãLv.22ã¯æããã©è¿·ãé£ããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãªããšããããã®ãã«ã
ããLv.61ã¯äº¡ããªããªã fact5: ããã®ãã«ã
ããLv.61ã¯æãããšããããšã¯æ¬åœã§ãã fact6: ããä»®ã«ãã®ãã«ã
ããLv.61ãæããšãããšãã®ãœã¡ã
ãœãLv.22ã¯äº¡ããªã ; $hypothesis$ = ãã®ãã«ã
ããLv.61ã¯äº¡ããªããšããããšã¯ãªã ; $proof$ = | fact3 -> int1: ãã®ãœã¡ã
ãœãLv.22ã¯æã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {D}{d} -> {C}{c} fact2: {A}{a} -> {B}{b} fact3: {A}{a} fact4: ¬({A}{a} & ¬{C}{a}) -> ¬{B}{b} fact5: {A}{b} fact6: {A}{b} -> {B}{a} ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | èŠæããšããããšã¯çºçããªã | ¬{C} | fact1: ãŸã¡ã
ãŸã¡ãLv.5äºä»¶ãšç掻ãæããšããããšãçºçãã | fact1: ({A} & {B}) | [
"fact1 -> int1: ãŸã¡ã
ãŸã¡ãLv.5äºä»¶ãèµ·ãã;"
] | [
"fact1 -> int1: {A};"
] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãŸã¡ã
ãŸã¡ãLv.5äºä»¶ãšç掻ãæããšããããšãçºçãã ; $hypothesis$ = èŠæããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãã«ããLv.57ã¯çãããšããããšã¯æãç«ã€ | {B}{b} | fact1: ããä»®ã«ããã®ãŽããŽãLv.50ã¯åãçŽããããã©ããã¯é£ãå»ããªãããšããããšã¯æ£ãããšããããšã¯ãªããªãã°ããã®ãã«ããLv.57ã¯çããªãããšããããšã¯äºå®ã fact2: ãã®ãŽããŽãLv.50ã¯è³ãããšããã°ããã®ãŽããŽãLv.50ã¯åãçŽãããå ããŠããã¯é£ãå»ãããšããããšã¯æ¬åœã§ãªã fact3: ããããã®ãŽããŽãLv.50ã¯è³ãããšãããšãåãçŽãããããã«é£ãå»ããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact4: ãã®ãŽããŽãLv.50ã¯è³ãã fact5: ãããã®ãŽããŽãLv.50ãé£ãå»ããªããã®ãã«ããLv.57ã¯çããªã | fact1: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact2: {A}{a} -> ¬({AA}{a} & {AB}{a}) fact3: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact4: {A}{a} fact5: {AB}{a} -> ¬{B}{b} | [
"fact3 & fact4 -> int1: ããã®ãŽããŽãLv.50ã¯åãçŽããããããé£ãå»ããšããããšã¯ãªãããšããããšã¯åœã§ãã; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact4 -> int1: ¬({AA}{a} & ¬{AB}{a}); int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ããã®ãŽããŽãLv.50ã¯åãçŽããããã©ããã¯é£ãå»ããªãããšããããšã¯æ£ãããšããããšã¯ãªããªãã°ããã®ãã«ããLv.57ã¯çããªãããšããããšã¯äºå®ã fact2: ãã®ãŽããŽãLv.50ã¯è³ãããšããã°ããã®ãŽããŽãLv.50ã¯åãçŽãããå ããŠããã¯é£ãå»ãããšããããšã¯æ¬åœã§ãªã fact3: ããããã®ãŽããŽãLv.50ã¯è³ãããšãããšãåãçŽãããããã«é£ãå»ããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact4: ãã®ãŽããŽãLv.50ã¯è³ãã fact5: ãããã®ãŽããŽãLv.50ãé£ãå»ããªããã®ãã«ããLv.57ã¯çããªã ; $hypothesis$ = ããã®ãã«ããLv.57ã¯çãããšããããšã¯æãç«ã€ ; $proof$ = | fact3 & fact4 -> int1: ããã®ãŽããŽãLv.50ã¯åãçŽããããããé£ãå»ããšããããšã¯ãªãããšããããšã¯åœã§ãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact2: {A}{a} -> ¬({AA}{a} & {AB}{a}) fact3: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact4: {A}{a} fact5: {AB}{a} -> ¬{B}{b} ; $hypothesis$ = {B}{b} ; $proof$ = | fact3 & fact4 -> int1: ¬({AA}{a} & ¬{AB}{a}); int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã«ã
ã·ã¡ãLv.4ã¯åãèŸããšããããšã¯ãªã | ¬{B}{b} | fact1: ãã®ãŽã®ãŽãLv.35ã¯åãèŸã fact2: åãèŸãã¢ã³ã¹ã¿ãŒã¯æµ®ãæã fact3: ãã®ãŸããŸãLv.44ã¯æµ®ãæã fact4: ãã®ãã«ã
ãã«Lv.94ãå
¥ãæããšããããã®ã·ã«ã
ã·ã¡ãLv.4ã¯æŽãå§ãã fact5: ããããã®ãŸããŸãLv.44ãæµ®ãæããªããã®ã·ã«ã
ã·ã¡ãLv.4ã¯åãèŸã fact6: ãããã®ãã«ã
ãã«Lv.94ã話ãæããªããšãããšãã®ãã«ã
ãã«Lv.94ã¯å
¥ãæã fact7: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯æŽãå§ããã°ããããã¯æµ®ãæããªããŠãŸãåãèŸããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªã | fact1: {B}{if} fact2: (x): {B}x -> {A}x fact3: {A}{a} fact4: {E}{c} -> {C}{b} fact5: {A}{a} -> {B}{b} fact6: ¬{F}{c} -> {E}{c} fact7: (x): {C}x -> ¬(¬{A}x & ¬{B}x) | [
"fact3 -> int1: ãã®ãŸããŸãLv.44ã¯æµ®ãæã; int1 & fact5 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact5 -> hypothesis;"
] | ãã®ããããLv.80ã¯æµ®ãæã | {A}{ak} | [
"fact10 -> int2: ããä»®ã«ãã®ããããLv.80ãåãèŸããªããã®ããããLv.80ã¯æµ®ãæã;"
] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã®ãŽãLv.35ã¯åãèŸã fact2: åãèŸãã¢ã³ã¹ã¿ãŒã¯æµ®ãæã fact3: ãã®ãŸããŸãLv.44ã¯æµ®ãæã fact4: ãã®ãã«ã
ãã«Lv.94ãå
¥ãæããšããããã®ã·ã«ã
ã·ã¡ãLv.4ã¯æŽãå§ãã fact5: ããããã®ãŸããŸãLv.44ãæµ®ãæããªããã®ã·ã«ã
ã·ã¡ãLv.4ã¯åãèŸã fact6: ãããã®ãã«ã
ãã«Lv.94ã話ãæããªããšãããšãã®ãã«ã
ãã«Lv.94ã¯å
¥ãæã fact7: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯æŽãå§ããã°ããããã¯æµ®ãæããªããŠãŸãåãèŸããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ã·ã«ã
ã·ã¡ãLv.4ã¯åãèŸããšããããšã¯ãªã ; $proof$ = | fact3 -> int1: ãã®ãŸããŸãLv.44ã¯æµ®ãæã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{if} fact2: (x): {B}x -> {A}x fact3: {A}{a} fact4: {E}{c} -> {C}{b} fact5: {A}{a} -> {B}{b} fact6: ¬{F}{c} -> {E}{c} fact7: (x): {C}x -> ¬(¬{A}x & ¬{B}x) ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | å¯ããšããããšã¯çºçããªã | ¬{C} | fact1: ããŸããŸã®Lv.52äºä»¶ãèµ·ããããšããããšã¯ãçæž©ããšããããšãèµ·ããããŸãã¯ãŸãªãŸãLv.19äºä»¶ãçºçããããããã¯ã©ã¡ããã ããšããããšã«é²ããã fact2: ããããªLv.47äºä»¶ãèµ·ãããªã䌎ãæããšããããšã¯çããªããŠå¯ããšããããšã¯çããªã fact3: ããããããããªLv.47äºä»¶ãèµ·ããããã®ããLv.33äºä»¶ã¯çããªãããšããããšã¯ééãã§ãããšããã°äŒŽãæããšããããšã¯çºçããªã fact4: ä»®ã«ãœã«ãœãLv.73äºä»¶ã¯çºçããªããšãããšãããããªLv.47äºä»¶ãèµ·ãããããããã®ããLv.33äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã fact5: ãŸã«ããŸãªLv.2äºä»¶ãèµ·ãã | fact1: ({IC} v {GU}) -> ¬{BD} fact2: {D} -> (¬{B} & ¬{C}) fact3: ¬({D} & ¬{E}) -> ¬{B} fact4: ¬{F} -> ¬({D} & ¬{E}) fact5: {A} | [
"fact5 -> int1: ãŸã«ããŸãªLv.2äºä»¶ãèµ·ããããŸãã¯äŒŽãæããšããããšãèµ·ãããäž¡æ¹ã§ãã;"
] | [
"fact5 -> int1: ({A} v {B});"
] | å¯ããšããããšãçãã | {C} | [] | 7 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããŸããŸã®Lv.52äºä»¶ãèµ·ããããšããããšã¯ãçæž©ããšããããšãèµ·ããããŸãã¯ãŸãªãŸãLv.19äºä»¶ãçºçããããããã¯ã©ã¡ããã ããšããããšã«é²ããã fact2: ããããªLv.47äºä»¶ãèµ·ãããªã䌎ãæããšããããšã¯çããªããŠå¯ããšããããšã¯çããªã fact3: ããããããããªLv.47äºä»¶ãèµ·ããããã®ããLv.33äºä»¶ã¯çããªãããšããããšã¯ééãã§ãããšããã°äŒŽãæããšããããšã¯çºçããªã fact4: ä»®ã«ãœã«ãœãLv.73äºä»¶ã¯çºçããªããšãããšãããããªLv.47äºä»¶ãèµ·ãããããããã®ããLv.33äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã fact5: ãŸã«ããŸãªLv.2äºä»¶ãèµ·ãã ; $hypothesis$ = å¯ããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({IC} v {GU}) -> ¬{BD} fact2: {D} -> (¬{B} & ¬{C}) fact3: ¬({D} & ¬{E}) -> ¬{B} fact4: ¬{F} -> ¬({D} & ¬{E}) fact5: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã®ãã¡ããã«ã
Lv.25ã¯çæãæããŠæãããšããããšã¯æ£ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({B}{a} & {C}{a}) | fact1: ãã®ãã¡ããã«ã
Lv.25ã¯æã fact2: ãã®ãã¡ããã«ã
Lv.25ã¯æ°æ ããçæãæã | fact1: {C}{a} fact2: ({A}{a} & {B}{a}) | [
"fact2 -> int1: ãã®ãã¡ããã«ã
Lv.25ã¯çæãæã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãã¡ããã«ã
Lv.25ã¯æã fact2: ãã®ãã¡ããã«ã
Lv.25ã¯æ°æ ããçæãæã ; $hypothesis$ = ãããã®ãã¡ããã«ã
Lv.25ã¯çæãæããŠæãããšããããšã¯æ£ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | fact2 -> int1: ãã®ãã¡ããã«ã
Lv.25ã¯çæãæã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} fact2: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬({B}{a} & {C}{a}) ; $proof$ = | fact2 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŸã«ã
ãŸã«ãLv.97ã¯åªããããã«äººãããããšããããšã¯æãç«ããªã | ¬({C}{a} & {B}{a}) | fact1: ãã®ãŸã«ã
ãŸã«ãLv.97ã¯ææŽãããæŽã«äººããã fact2: 貎æ¹ãããã¢ã³ã¹ã¿ãŒã§ãã£ãŠãã€å¿ãŸå¿ãŸãããªãã¢ã³ã¹ã¿ãŒã¯æž©ãããªã fact3: ä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯åãé£ããããã¯é¡åšåãæãããšããããšã¯èª€ããªãææŽããªã fact4: ãã®ãŸã«ã
ãŸã«ãLv.97ã¯åªã fact5: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯åªããªããšããããããã¯ææŽãããå ããŠäººãããããšããããšã¯äºå®ã§ãã fact6: ãããããã¢ã³ã¹ã¿ãŒã¯æž©ãããªããªãã°ãããã¯åãé£ãããããé¡åšåãæãããšããããšã¯åã fact7: ãããããã¢ã³ã¹ã¿ãŒã¯ææŽããªããšãããããããã¯åªããããã«ããã¯äººãããããšããããšã¯æ¬åœã§ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | fact1: ({A}{a} & {B}{a}) fact2: (x): ({H}x & ¬{G}x) -> ¬{F}x fact3: (x): ¬({D}x & {E}x) -> ¬{A}x fact4: {C}{a} fact5: (x): ¬{C}x -> ({A}x & {B}x) fact6: (x): ¬{F}x -> ¬({D}x & {E}x) fact7: (x): ¬{A}x -> ¬({C}x & {B}x) | [
"fact1 -> int1: ãã®ãŸã«ã
ãŸã«ãLv.97ã¯äººããã; int1 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact4 -> hypothesis;"
] | ããã®ãŸã«ã
ãŸã«ãLv.97ã¯åªããããã«äººãããããšããããšã¯æãç«ããªã | ¬({C}{a} & {B}{a}) | [
"fact11 -> int2: ä»®ã«ãã®ãŸã«ã
ãŸã«ãLv.97ã¯ææŽããªããªãã°ãããã¯åªãã人ãããããšããããšã¯äºå®ãšç°ãªã; fact9 -> int3: ããããã®ãŸã«ã
ãŸã«ãLv.97ã¯åãé£ããŠé¡åšåãæãããšããããšã¯èª€ã£ãŠãããšãããšãã®ãŸã«ã
ãŸã«ãLv.97ã¯ææŽããªã; fact10 -> int4: ããããã®ãŸã«ã
ãŸã«ãLv.97ã¯æž©ãããªããªãã°ãããã®ãŸã«ã
ãŸã«ãLv.97ã¯åãé£ããããã¯é¡åšåãæãããšããããšã¯åã ããšããããšã¯æ¬åœã ; fact8 -> int5: ããä»®ã«ãã®ãŸã«ã
ãŸã«ãLv.97ã貎æ¹ããããå¿ãŸå¿ãŸãããªããšããã°ãã®ãŸã«ã
ãŸã«ãLv.97ã¯æž©ãããªã;"
] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸã«ã
ãŸã«ãLv.97ã¯ææŽãããæŽã«äººããã fact2: 貎æ¹ãããã¢ã³ã¹ã¿ãŒã§ãã£ãŠãã€å¿ãŸå¿ãŸãããªãã¢ã³ã¹ã¿ãŒã¯æž©ãããªã fact3: ä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯åãé£ããããã¯é¡åšåãæãããšããããšã¯èª€ããªãææŽããªã fact4: ãã®ãŸã«ã
ãŸã«ãLv.97ã¯åªã fact5: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯åªããªããšããããããã¯ææŽãããå ããŠäººãããããšããããšã¯äºå®ã§ãã fact6: ãããããã¢ã³ã¹ã¿ãŒã¯æž©ãããªããªãã°ãããã¯åãé£ãããããé¡åšåãæãããšããããšã¯åã fact7: ãããããã¢ã³ã¹ã¿ãŒã¯ææŽããªããšãããããããã¯åªããããã«ããã¯äººãããããšããããšã¯æ¬åœã§ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ããã®ãŸã«ã
ãŸã«ãLv.97ã¯åªããããã«äººãããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ãã®ãŸã«ã
ãŸã«ãLv.97ã¯äººããã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: (x): ({H}x & ¬{G}x) -> ¬{F}x fact3: (x): ¬({D}x & {E}x) -> ¬{A}x fact4: {C}{a} fact5: (x): ¬{C}x -> ({A}x & {B}x) fact6: (x): ¬{F}x -> ¬({D}x & {E}x) fact7: (x): ¬{A}x -> ¬({C}x & {B}x) ; $hypothesis$ = ¬({C}{a} & {B}{a}) ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã¿ã«ã¿ã«ã
Lv.41ã¯åéããæããŠåºŠãé£ãããšããããšã¯æãç«ããªã | ¬({A}{a} & {C}{a}) | fact1: ãã®ã¿ã«ã¿ã«ã
Lv.41ã¯åºŠãé£ã fact2: ãã®ã¿ã«ã¿ã«ã
Lv.41ã¯åç¶ãé£ã fact3: ãã®ã¿ã«ã¿ã«ã
Lv.41ã¯åéããæããæŽã«çœã fact4: ããã®ã¿ã«ã¿ã«ã
Lv.41ã¯çœãããšããããšã¯ç¢ºãã fact5: ããããšããã¢ã³ã¹ã¿ãŒã¯çœããªããšãããšãããã¯åéããæãã床ãé£ãããšããããšã¯åã fact6: ãã®ãŸã¡ããŸãLv.77ã¯åéããæã | fact1: {C}{a} fact2: {L}{a} fact3: ({A}{a} & {B}{a}) fact4: {B}{a} fact5: (x): ¬{B}x -> ¬({A}x & {C}x) fact6: {A}{hh} | [
"fact3 -> int1: ãã®ã¿ã«ã¿ã«ã
Lv.41ã¯åéããæã; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | ããã®ã¿ã«ã¿ã«ã
Lv.41ã¯åéããæããŠåºŠãé£ãããšããããšã¯æãç«ããªã | ¬({A}{a} & {C}{a}) | [
"fact7 -> int2: ãããã®ãœããœã®Lv.92ã¯çœããªããšãããšããã®ãœããœã®Lv.92ã¯åéããæããŠå ããŠããã¯åºŠãé£ãããšããããšã¯åœã§ãã;"
] | 10 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ã«ã¿ã«ã
Lv.41ã¯åºŠãé£ã fact2: ãã®ã¿ã«ã¿ã«ã
Lv.41ã¯åç¶ãé£ã fact3: ãã®ã¿ã«ã¿ã«ã
Lv.41ã¯åéããæããæŽã«çœã fact4: ããã®ã¿ã«ã¿ã«ã
Lv.41ã¯çœãããšããããšã¯ç¢ºãã fact5: ããããšããã¢ã³ã¹ã¿ãŒã¯çœããªããšãããšãããã¯åéããæãã床ãé£ãããšããããšã¯åã fact6: ãã®ãŸã¡ããŸãLv.77ã¯åéããæã ; $hypothesis$ = ããã®ã¿ã«ã¿ã«ã
Lv.41ã¯åéããæããŠåºŠãé£ãããšããããšã¯æãç«ããªã ; $proof$ = | fact3 -> int1: ãã®ã¿ã«ã¿ã«ã
Lv.41ã¯åéããæã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} fact2: {L}{a} fact3: ({A}{a} & {B}{a}) fact4: {B}{a} fact5: (x): ¬{B}x -> ¬({A}x & {C}x) fact6: {A}{hh} ; $hypothesis$ = ¬({A}{a} & {C}{a}) ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽã¡ãLv.34ã¯äžããæããšããããšã¯ãªã | ¬{B}{a} | fact1: ãããã®ãŽããŽã¡ãLv.34ã¯çœ¹æ£ãæããšãããšããæµç£ããªããŠæ¥èŸããªãããšããããšã¯æ¬åœã ããšããããšã¯ééãã§ãã fact2: ä»®ã«ããã®ã¿ãã¿ã¡ãLv.99ã眹æ£ãæãããã®äžäžããæãããšããããšã¯èª€ããªãã°ãã®ãŽããŽã¡ãLv.34ã¯äžããæããšããããšã¯ãªã fact3: ä»®ã«ããã®ãŽããŽã¡ã
Lv.14ã¯é»è²ã£ãœããªãããšããããšã¯æ£ãããªãããã®ã¿ãã¿ã¡ãLv.99ã¯çœ¹æ£ãæããäžããæãããšããããšã¯èª€ãã§ãã fact4: ãã®ãŽããŽã¡ãLv.34ã¯æ¬éãã fact5: ãããã®ãŽããŽã¡ãLv.34ã¯æµç£ãããšãããšããã®ãŽããŽã¡ãLv.34ã¯ç®æ°ããäžæ¹ã§æ¬²æ·±ããªãããšããããšã¯æãç«ããªã fact6: ãããããã®ãŽããŽã¡ãLv.34ã¯æµç£ãããšããããšã¯ãªããŠæ¥èŸããªãããšããããšã¯æãç«ããªããªãããã¯äžããæã | fact1: {A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact2: ¬({A}{b} & {B}{b}) -> ¬{B}{a} fact3: ¬{C}{c} -> ¬({A}{b} & {B}{b}) fact4: {EA}{a} fact5: {AA}{a} -> ¬({II}{a} & ¬{GB}{a}) fact6: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} | [] | [] | ãã®ãŽããŽã¡ãLv.34ã¯äžããæããšããããšã¯ãªã | ¬{B}{a} | [] | 5 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ãŽããŽã¡ãLv.34ã¯çœ¹æ£ãæããšãããšããæµç£ããªããŠæ¥èŸããªãããšããããšã¯æ¬åœã ããšããããšã¯ééãã§ãã fact2: ä»®ã«ããã®ã¿ãã¿ã¡ãLv.99ã眹æ£ãæãããã®äžäžããæãããšããããšã¯èª€ããªãã°ãã®ãŽããŽã¡ãLv.34ã¯äžããæããšããããšã¯ãªã fact3: ä»®ã«ããã®ãŽããŽã¡ã
Lv.14ã¯é»è²ã£ãœããªãããšããããšã¯æ£ãããªãããã®ã¿ãã¿ã¡ãLv.99ã¯çœ¹æ£ãæããäžããæãããšããããšã¯èª€ãã§ãã fact4: ãã®ãŽããŽã¡ãLv.34ã¯æ¬éãã fact5: ãããã®ãŽããŽã¡ãLv.34ã¯æµç£ãããšãããšããã®ãŽããŽã¡ãLv.34ã¯ç®æ°ããäžæ¹ã§æ¬²æ·±ããªãããšããããšã¯æãç«ããªã fact6: ãããããã®ãŽããŽã¡ãLv.34ã¯æµç£ãããšããããšã¯ãªããŠæ¥èŸããªãããšããããšã¯æãç«ããªããªãããã¯äžããæã ; $hypothesis$ = ãã®ãŽããŽã¡ãLv.34ã¯äžããæããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact2: ¬({A}{b} & {B}{b}) -> ¬{B}{a} fact3: ¬{C}{c} -> ¬({A}{b} & {B}{b}) fact4: {EA}{a} fact5: {AA}{a} -> ¬({II}{a} & ¬{GB}{a}) fact6: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããæ°é«ãããã©ããããªããªããªãã°ç©åããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ({AA}x & ¬{AB}x) -> {B}x | fact1: ããä»®ã«ãã®ãœããœã«ãLv.53ãããããªãããã©è¡è
¥ããªããšãããããã¯æãããæã fact2: æ©ããããã«æ°æã¡è¯ããªãã¢ã³ã¹ã¿ãŒã¯èª€ãç¡ã fact3: ãããã®ãœããœã«ãLv.53ãæ°é«ããŠããã«ãããããããªããªãã°ãã®ãœããœã«ãLv.53ã¯ç©åã fact4: ãããä»®ã«æ°é«ããŠæŽã«ããããªããšããã°ç©åããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ããããæ±ãå§ãããè¡è
¥ããªããšããã°éãé£ããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: ({AB}{aa} & ¬{JA}{aa}) -> {P}{aa} fact2: (x): ({BS}x & ¬{C}x) -> {AE}x fact3: ({AA}{aa} & {AB}{aa}) -> {B}{aa} fact4: (Ex): ({AA}x & {AB}x) -> {B}x fact5: (Ex): ({HR}x & ¬{JA}x) -> {AI}x | [] | [] | ãä»®ã«æ©ããã©æ°æã¡è¯ããªããšããã°èª€ãç¡ããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ({BS}x & ¬{C}x) -> {AE}x | [
"fact6 -> int1: ããããã®ãœã¡ã
ãœã«ãLv.76ã¯æ©ããæ°æã¡è¯ããªããªãã°èª€ãç¡ã; int1 -> hypothesis;"
] | 2 | 1 | 1 | null | null | 5 | 0 | 5 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ããä»®ã«ãã®ãœããœã«ãLv.53ãããããªãããã©è¡è
¥ããªããšãããããã¯æãããæã fact2: æ©ããããã«æ°æã¡è¯ããªãã¢ã³ã¹ã¿ãŒã¯èª€ãç¡ã fact3: ãããã®ãœããœã«ãLv.53ãæ°é«ããŠããã«ãããããããªããªãã°ãã®ãœããœã«ãLv.53ã¯ç©åã fact4: ãããä»®ã«æ°é«ããŠæŽã«ããããªããšããã°ç©åããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ããããæ±ãå§ãããè¡è
¥ããªããšããã°éãé£ããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãããæ°é«ãããã©ããããªããªããªãã°ç©åããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({AB}{aa} & ¬{JA}{aa}) -> {P}{aa} fact2: (x): ({BS}x & ¬{C}x) -> {AE}x fact3: ({AA}{aa} & {AB}{aa}) -> {B}{aa} fact4: (Ex): ({AA}x & {AB}x) -> {B}x fact5: (Ex): ({HR}x & ¬{JA}x) -> {AI}x ; $hypothesis$ = (Ex): ({AA}x & ¬{AB}x) -> {B}x ; $proof$ = | __UNKNOWN__ |
0.3 | ãã¿ãã¿ãLv.50äºä»¶ããã³å€ãããšãçºçããããšããããšã¯èª€ã£ãŠãã | ¬({B} & {C}) | fact1: ãŽããŽã®Lv.18äºä»¶ãšã¿ãã¿ãLv.50äºä»¶ãçºçãã fact2: å€ãããšãçãã fact3: ãããããŽããŽã®Lv.18äºä»¶ã¯çããªãããšããããšã¯çå®ãªããã¿ãã¿ãLv.50äºä»¶ãçããããŸãå€ãããšãèµ·ããããšããããšã¯æ¬åœã§ãªã fact4: ãŽããŽã®Lv.18äºä»¶ã¯èµ·ãããªããšããããšã¯æãŸãããšããããšã¯çºçããªããšããããšã«èµ·å ãã | fact1: ({A} & {B}) fact2: {C} fact3: ¬{A} -> ¬({B} & {C}) fact4: ¬{D} -> ¬{A} | [
"fact1 -> int1: ã¿ãã¿ãLv.50äºä»¶ãçãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | ãã¿ãã¿ãLv.50äºä»¶ããã³å€ãããšãçºçããããšããããšã¯èª€ã£ãŠãã | ¬({B} & {C}) | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãŽããŽã®Lv.18äºä»¶ãšã¿ãã¿ãLv.50äºä»¶ãçºçãã fact2: å€ãããšãçãã fact3: ãããããŽããŽã®Lv.18äºä»¶ã¯çããªãããšããããšã¯çå®ãªããã¿ãã¿ãLv.50äºä»¶ãçããããŸãå€ãããšãèµ·ããããšããããšã¯æ¬åœã§ãªã fact4: ãŽããŽã®Lv.18äºä»¶ã¯èµ·ãããªããšããããšã¯æãŸãããšããããšã¯çºçããªããšããããšã«èµ·å ãã ; $hypothesis$ = ãã¿ãã¿ãLv.50äºä»¶ããã³å€ãããšãçºçããããšããããšã¯èª€ã£ãŠãã ; $proof$ = | fact1 -> int1: ã¿ãã¿ãLv.50äºä»¶ãçãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: {C} fact3: ¬{A} -> ¬({B} & {C}) fact4: ¬{D} -> ¬{A} ; $hypothesis$ = ¬({B} & {C}) ; $proof$ = | fact1 -> int1: {B}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãã«ããã¡ãLv.11ã¯æ
ãŸãããããã«åé¢ãæãããšããããšã¯æãç«ããªã | ¬({AA}{aa} & {AB}{aa}) | fact1: ãã®ãŽã¡ããŽãLv.35ãé
ãæããªããšããããã®ã¿ãã¿ãLv.66ã¯å³ããªã fact2: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯å³ããšããããšã¯ãªãããšããããšã¯ç¢ºããªããæ
ãŸãããããŸãã«åé¢ãæãããšããããšã¯æãç«ããªã fact3: ããä»®ã«ãã®ã¿ãã¿ãLv.66ãå³ããªããšããã°ãã®ãã«ããã®Lv.73ã¯æ
ãŸãããªã fact4: çæãæããªãããããã¯é
ãæããªããã©ã¡ããã§ããã¢ã³ã¹ã¿ãŒã¯é
ãæããªã fact5: ä»®ã«ãã®ã¿ãã¿ãLv.66ãæ
ãŸãããšãããšãã®ãã«ããã¡ãLv.11ã¯æ
ãŸãã | fact1: ¬{B}{b} -> ¬{A}{a} fact2: (x): ¬{A}x -> ¬({AA}x & {AB}x) fact3: ¬{A}{a} -> ¬{AA}{hd} fact4: (x): (¬{C}x v ¬{B}x) -> ¬{B}x fact5: {AA}{a} -> {AA}{aa} | [
"fact2 -> int1: ãã®ãã«ããã¡ãLv.11ã¯å³ããªããªãããã®ãã«ããã¡ãLv.11ã¯æ
ãŸããããã€åé¢ãæãããšããããšã¯èª€ã£ãŠãã;"
] | [
"fact2 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & {AB}{aa});"
] | ãã®ãã«ããã¡ãLv.11ã¯æ
ãŸãããããã¯åé¢ãæã | ({AA}{aa} & {AB}{aa}) | [] | 4 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãŽã¡ããŽãLv.35ãé
ãæããªããšããããã®ã¿ãã¿ãLv.66ã¯å³ããªã fact2: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯å³ããšããããšã¯ãªãããšããããšã¯ç¢ºããªããæ
ãŸãããããŸãã«åé¢ãæãããšããããšã¯æãç«ããªã fact3: ããä»®ã«ãã®ã¿ãã¿ãLv.66ãå³ããªããšããã°ãã®ãã«ããã®Lv.73ã¯æ
ãŸãããªã fact4: çæãæããªãããããã¯é
ãæããªããã©ã¡ããã§ããã¢ã³ã¹ã¿ãŒã¯é
ãæããªã fact5: ä»®ã«ãã®ã¿ãã¿ãLv.66ãæ
ãŸãããšãããšãã®ãã«ããã¡ãLv.11ã¯æ
ãŸãã ; $hypothesis$ = ããã®ãã«ããã¡ãLv.11ã¯æ
ãŸãããããã«åé¢ãæãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{b} -> ¬{A}{a} fact2: (x): ¬{A}x -> ¬({AA}x & {AB}x) fact3: ¬{A}{a} -> ¬{AA}{hd} fact4: (x): (¬{C}x v ¬{B}x) -> ¬{B}x fact5: {AA}{a} -> {AA}{aa} ; $hypothesis$ = ¬({AA}{aa} & {AB}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.55ã¯æãæããªã | ¬{C}{a} | fact1: ãã®ã¿ãã¿ãLv.55ã¯ç²ãé£ã fact2: äœããã®ã¢ã³ã¹ã¿ãŒãæãé£ããªãäžæ¹ã§æå®ãé£ããªããã®ãŽã¡ã
ãŽãLv.26ã¯æå®ãé£ããªã fact3: ä»®ã«ãã®ãããã®Lv.27ãæå®ãé£ããšããããšã¯ãªããšããããã®ã¿ãã¿ãLv.55ã¯ç²ãé£ãããšãã fact4: ãã®ãœã«ãœãLv.27ã¯æãé£ããªãããããæå®ãé£ã fact5: ããä»®ã«ãã®ã¿ãã¿ãLv.55ããšãããªãæãæã | fact1: {A}{a} fact2: (x): (¬{F}x & {D}x) -> ¬{D}{c} fact3: ¬{D}{b} -> ({A}{a} v {B}{a}) fact4: (¬{F}{d} & {D}{d}) fact5: {B}{a} -> {C}{a} | [] | [] | ããã®ãŸã¡ããŸã¡ãLv.74ã¯æãæãããšããããšã¯æ£ãã | {C}{hs} | [
"fact7 -> int1: æãé£ããšããããšã¯ãªããããã«æå®ãé£ãã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact8 -> int2: ãã®ãŽã¡ã
ãŽãLv.26ã¯æå®ãé£ããªã; int2 -> int3: ãæå®ãé£ããªããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã¿ãã¿ãLv.55ã¯ç²ãé£ã fact2: äœããã®ã¢ã³ã¹ã¿ãŒãæãé£ããªãäžæ¹ã§æå®ãé£ããªããã®ãŽã¡ã
ãŽãLv.26ã¯æå®ãé£ããªã fact3: ä»®ã«ãã®ãããã®Lv.27ãæå®ãé£ããšããããšã¯ãªããšããããã®ã¿ãã¿ãLv.55ã¯ç²ãé£ãããšãã fact4: ãã®ãœã«ãœãLv.27ã¯æãé£ããªãããããæå®ãé£ã fact5: ããä»®ã«ãã®ã¿ãã¿ãLv.55ããšãããªãæãæã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.55ã¯æãæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: (x): (¬{F}x & {D}x) -> ¬{D}{c} fact3: ¬{D}{b} -> ({A}{a} v {B}{a}) fact4: (¬{F}{d} & {D}{d}) fact5: {B}{a} -> {C}{a} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.23ã¯åããã倧差ç¡ã | ({AA}{aa} v {AB}{aa}) | fact1: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯åŒ±ããªããšããã°ãããã¯åããããããã¯å€§å·®ç¡ãããããã¯äž¡æ¹ã§ããããšããããšã¯ééãã fact2: ãã®ã¿ãã¿ãLv.23ã¯åŒ±ããšããããšã¯ãªã | fact1: (x): ¬{A}x -> ¬({AA}x v {AB}x) fact2: ¬{A}{aa} | [
"fact1 -> int1: ãã®ã¿ãã¿ãLv.23ã¯åŒ±ããªããšãããšããã®ã¿ãã¿ãLv.23ã¯åããããããã¯å€§å·®ç¡ãããšããããšã¯æãç«ããªã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: ¬{A}{aa} -> ¬({AA}{aa} v {AB}{aa}); int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯åŒ±ããªããšããã°ãããã¯åããããããã¯å€§å·®ç¡ãããããã¯äž¡æ¹ã§ããããšããããšã¯ééãã fact2: ãã®ã¿ãã¿ãLv.23ã¯åŒ±ããšããããšã¯ãªã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.23ã¯åããã倧差ç¡ã ; $proof$ = | fact1 -> int1: ãã®ã¿ãã¿ãLv.23ã¯åŒ±ããªããšãããšããã®ã¿ãã¿ãLv.23ã¯åããããããã¯å€§å·®ç¡ãããšããããšã¯æãç«ããªã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬({AA}x v {AB}x) fact2: ¬{A}{aa} ; $hypothesis$ = ({AA}{aa} v {AB}{aa}) ; $proof$ = | fact1 -> int1: ¬{A}{aa} -> ¬({AA}{aa} v {AB}{aa}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ã¿ã«ãã¿ãªLv.81äºä»¶ã¯çããªã | ¬{C} | fact1: ãã©ããã©ããããšããããšã¯èµ·ããªããšããããšã¯ã¿ã«ãã¿ãªLv.81äºä»¶ããã³ãã¡ãããLv.40äºä»¶ãèµ·ãããåŒãèµ·ãã fact2: ãã¡ãããLv.40äºä»¶ãçºçãã fact3: èããšããããšã¯èµ·ããªããšããããšã¯ããã©ããã©ããããšããããšã¯çºçããªãããšããããšããããã¯ã¿ã«ãã¿ãªLv.81äºä»¶ããŸãã¯äž¡æ¹ãšãã«åž°çµãã fact4: ãã©ããã©ããããšããããšãèµ·ãã fact5: ããããã¡ãããLv.40äºä»¶ãšãã©ããã©ããããšããããšãèµ·ãããšããã°ã¿ã«ãã¿ãªLv.81äºä»¶ã¯èµ·ããªã fact6: æãé£ããšããããšãšäŸèšåºæ¥ãããšäž¡æ¹ãèµ·ãã fact7: ãèããšããããšã¯èµ·ãããªãããšããããšããŸãã¯ãåããŸãããšããããšã¯çããªãããšããããšããŸãã¯äž¡æ¹ã¯ããã©ããã©ããããšããããšã¯èµ·ããªãããšããããšãåŒãèµ·ãã | fact1: ¬{B} -> ({C} & {A}) fact2: {A} fact3: ¬{D} -> (¬{B} v {C}) fact4: {B} fact5: ({A} & {B}) -> ¬{C} fact6: ({R} & {HJ}) fact7: (¬{D} v ¬{E}) -> ¬{B} | [
"fact2 & fact4 -> int1: ãã¡ãããLv.40äºä»¶ãèµ·ããããã©ããã©ããããšããããšãçãã; int1 & fact5 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: ({A} & {B}); int1 & fact5 -> hypothesis;"
] | ç· ãæ¬ãããšã¯èµ·ãããªã | ¬{AF} | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã©ããã©ããããšããããšã¯èµ·ããªããšããããšã¯ã¿ã«ãã¿ãªLv.81äºä»¶ããã³ãã¡ãããLv.40äºä»¶ãèµ·ãããåŒãèµ·ãã fact2: ãã¡ãããLv.40äºä»¶ãçºçãã fact3: èããšããããšã¯èµ·ããªããšããããšã¯ããã©ããã©ããããšããããšã¯çºçããªãããšããããšããããã¯ã¿ã«ãã¿ãªLv.81äºä»¶ããŸãã¯äž¡æ¹ãšãã«åž°çµãã fact4: ãã©ããã©ããããšããããšãèµ·ãã fact5: ããããã¡ãããLv.40äºä»¶ãšãã©ããã©ããããšããããšãèµ·ãããšããã°ã¿ã«ãã¿ãªLv.81äºä»¶ã¯èµ·ããªã fact6: æãé£ããšããããšãšäŸèšåºæ¥ãããšäž¡æ¹ãèµ·ãã fact7: ãèããšããããšã¯èµ·ãããªãããšããããšããŸãã¯ãåããŸãããšããããšã¯çããªãããšããããšããŸãã¯äž¡æ¹ã¯ããã©ããã©ããããšããããšã¯èµ·ããªãããšããããšãåŒãèµ·ãã ; $hypothesis$ = ã¿ã«ãã¿ãªLv.81äºä»¶ã¯çããªã ; $proof$ = | fact2 & fact4 -> int1: ãã¡ãããLv.40äºä»¶ãèµ·ããããã©ããã©ããããšããããšãçãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} -> ({C} & {A}) fact2: {A} fact3: ¬{D} -> (¬{B} v {C}) fact4: {B} fact5: ({A} & {B}) -> ¬{C} fact6: ({R} & {HJ}) fact7: (¬{D} v ¬{E}) -> ¬{B} ; $hypothesis$ = ¬{C} ; $proof$ = | fact2 & fact4 -> int1: ({A} & {B}); int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | å¯ãŒããšããããšã¯èµ·ãããªã | ¬{C} | fact1: ããããœã«ããœã®Lv.80äºä»¶ãèµ·ãããšããã°å¯ãŒããšããããšãçãã fact2: ãœã«ã
ãœãLv.1äºä»¶ãçºçãã fact3: ãœã«ã
ãœãLv.1äºä»¶ããœã«ããœã®Lv.80äºä»¶ã¯èµ·ããªããšããããšãåé¿ãã fact4: ãŸã«ãŸã¡ãLv.49äºä»¶ãèµ·ãã fact5: ããä»®ã«ããœã«ã
ãœãLv.1äºä»¶ãšå¯ãŒããšããããšãçããããšããããšã¯ç¢ºãã§ãªããšãããå¯ãŒããšããããšã¯èµ·ããªã | fact1: {B} -> {C} fact2: {A} fact3: {A} -> {B} fact4: {T} fact5: ¬({A} & {C}) -> ¬{C} | [
"fact3 & fact2 -> int1: ããœã«ããœã®Lv.80äºä»¶ãçºçããããšããããšã¯æãç«ã€; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | å¯ãŒããšããããšã¯èµ·ãããªã | ¬{C} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããœã«ããœã®Lv.80äºä»¶ãèµ·ãããšããã°å¯ãŒããšããããšãçãã fact2: ãœã«ã
ãœãLv.1äºä»¶ãçºçãã fact3: ãœã«ã
ãœãLv.1äºä»¶ããœã«ããœã®Lv.80äºä»¶ã¯èµ·ããªããšããããšãåé¿ãã fact4: ãŸã«ãŸã¡ãLv.49äºä»¶ãèµ·ãã fact5: ããä»®ã«ããœã«ã
ãœãLv.1äºä»¶ãšå¯ãŒããšããããšãçããããšããããšã¯ç¢ºãã§ãªããšãããå¯ãŒããšããããšã¯èµ·ããªã ; $hypothesis$ = å¯ãŒããšããããšã¯èµ·ãããªã ; $proof$ = | fact3 & fact2 -> int1: ããœã«ããœã®Lv.80äºä»¶ãçºçããããšããããšã¯æãç«ã€; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} -> {C} fact2: {A} fact3: {A} -> {B} fact4: {T} fact5: ¬({A} & {C}) -> ¬{C} ; $hypothesis$ = ¬{C} ; $proof$ = | fact3 & fact2 -> int1: {B}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.24ã¯åŸ
ã¡é ãã | {C}{b} | fact1: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åºæ·±ããæã¡ããŸããªãããšããããšã¯æ¬åœã§ãããªãã°ããã¯åŸ
ã¡é ãããªã fact2: ãã®ãŽããŽãLv.24ã¯æã¡ããŸã fact3: ãã®ãœã«ã
ãœãLv.17ã¯åºæ·±ããããã«æã¡ããŸã fact4: ããããã®ãœã«ã
ãœãLv.17ãæã¡ããŸãã°ãã®ãŽããŽãLv.24ã¯åŸ
ã¡é ãã fact5: ãã®ãœã«ã
ãœãLv.17ã¯åºæ·±ã fact6: ãã®ãœã«ã
ãœãLv.17ã¯çã¿æã | fact1: (x): ({A}x v ¬{B}x) -> ¬{C}x fact2: {B}{b} fact3: ({A}{a} & {B}{a}) fact4: {B}{a} -> {C}{b} fact5: {A}{a} fact6: {EA}{a} | [
"fact3 -> int1: ãã®ãœã«ã
ãœãLv.17ã¯æã¡ããŸã; int1 & fact4 -> hypothesis;"
] | [
"fact3 -> int1: {B}{a}; int1 & fact4 -> hypothesis;"
] | ãã®ãŽããŽãLv.24ã¯åŸ
ã¡é ãããªã | ¬{C}{b} | [
"fact7 -> int2: ãããããã®ãŽããŽãLv.24ã¯åºæ·±ããæã¡ããŸããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯æ£ãããªãã°åŸ
ã¡é ãããšããããšã¯ãªã;"
] | 4 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åºæ·±ããæã¡ããŸããªãããšããããšã¯æ¬åœã§ãããªãã°ããã¯åŸ
ã¡é ãããªã fact2: ãã®ãŽããŽãLv.24ã¯æã¡ããŸã fact3: ãã®ãœã«ã
ãœãLv.17ã¯åºæ·±ããããã«æã¡ããŸã fact4: ããããã®ãœã«ã
ãœãLv.17ãæã¡ããŸãã°ãã®ãŽããŽãLv.24ã¯åŸ
ã¡é ãã fact5: ãã®ãœã«ã
ãœãLv.17ã¯åºæ·±ã fact6: ãã®ãœã«ã
ãœãLv.17ã¯çã¿æã ; $hypothesis$ = ãã®ãŽããŽãLv.24ã¯åŸ
ã¡é ãã ; $proof$ = | fact3 -> int1: ãã®ãœã«ã
ãœãLv.17ã¯æã¡ããŸã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({A}x v ¬{B}x) -> ¬{C}x fact2: {B}{b} fact3: ({A}{a} & {B}{a}) fact4: {B}{a} -> {C}{b} fact5: {A}{a} fact6: {EA}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact3 -> int1: {B}{a}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ã¡ã
ã¿ã¡ãLv.67ã¯é
·ããªãããã©ãããããšããããšã¯èª€ãã§ãã | ¬(¬{B}{a} & {C}{a}) | fact1: ããä»®ã«ãã®ãŽããŽã«ãLv.27ã¯è¿œãè¶ããªãããã®ã¿ã¡ã
ã¿ã¡ãLv.67ã¯é
·ããªãããããããšããããšã¯äºå®ãšç°ãªã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è¿œãè¶ã fact3: ããããã®ãŽããŽã«ãLv.27ã¯è¿œãè¶ããšãããšããã®ã¿ã¡ã
ã¿ã¡ãLv.67ã¯é
·ãããŸãããã¯ãããããšããããšã¯èª€ãã§ãã | fact1: {A}{aa} -> ¬(¬{B}{a} & {C}{a}) fact2: (x): {A}x fact3: {A}{aa} -> ¬({B}{a} & {C}{a}) | [
"fact2 -> int1: ãã®ãŽããŽã«ãLv.27ã¯è¿œãè¶ã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}{aa}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽã«ãLv.27ã¯è¿œãè¶ããªãããã®ã¿ã¡ã
ã¿ã¡ãLv.67ã¯é
·ããªãããããããšããããšã¯äºå®ãšç°ãªã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è¿œãè¶ã fact3: ããããã®ãŽããŽã«ãLv.27ã¯è¿œãè¶ããšãããšããã®ã¿ã¡ã
ã¿ã¡ãLv.67ã¯é
·ãããŸãããã¯ãããããšããããšã¯èª€ãã§ãã ; $hypothesis$ = ããã®ã¿ã¡ã
ã¿ã¡ãLv.67ã¯é
·ããªãããã©ãããããšããããšã¯èª€ãã§ãã ; $proof$ = | fact2 -> int1: ãã®ãŽããŽã«ãLv.27ã¯è¿œãè¶ã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{aa} -> ¬(¬{B}{a} & {C}{a}) fact2: (x): {A}x fact3: {A}{aa} -> ¬({B}{a} & {C}{a}) ; $hypothesis$ = ¬(¬{B}{a} & {C}{a}) ; $proof$ = | fact2 -> int1: {A}{aa}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŸã¡ããŸã¡ã
Lv.74ã¯ãããããŸãã¯çèŠããããšããããšã¯æãç«ããªã | ¬({A}{b} v {B}{b}) | fact1: ãã®ãŸã¡ããŸã¡ã
Lv.74ã¯çèŠãããªããªãã°ãããã®ãŸã¡ããŸã¡ã
Lv.74ã¯ããããçèŠããããšããããšã¯æ£ããããšããããšã¯ééãã fact2: ä»®ã«ãã®ãŸãªãŸãLv.80ãåŸ
ã¡é ããããããããã誀ãç¡ããªããšããã°ãã®ãŸã¡ããŸã¡ã
Lv.74ã¯çèŠãããªã fact3: ãã®ãŸãªãŸãLv.80ã¯åŸ
ã¡é ããããããããã¯èª€ãç¡ããªã fact4: ãã®ãŸãªãŸãLv.80ã¯èª€ãç¡ããªã | fact1: ¬{B}{b} -> ¬({A}{b} v {B}{b}) fact2: ({AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact3: ({AA}{a} & ¬{AB}{a}) fact4: ¬{AB}{a} | [
"fact2 & fact3 -> int1: ãã®ãŸã¡ããŸã¡ã
Lv.74ã¯çèŠãããšããããšã¯ãªã; int1 & fact1 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: ¬{B}{b}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŸã¡ããŸã¡ã
Lv.74ã¯çèŠãããªããªãã°ãããã®ãŸã¡ããŸã¡ã
Lv.74ã¯ããããçèŠããããšããããšã¯æ£ããããšããããšã¯ééãã fact2: ä»®ã«ãã®ãŸãªãŸãLv.80ãåŸ
ã¡é ããããããããã誀ãç¡ããªããšããã°ãã®ãŸã¡ããŸã¡ã
Lv.74ã¯çèŠãããªã fact3: ãã®ãŸãªãŸãLv.80ã¯åŸ
ã¡é ããããããããã¯èª€ãç¡ããªã fact4: ãã®ãŸãªãŸãLv.80ã¯èª€ãç¡ããªã ; $hypothesis$ = ããã®ãŸã¡ããŸã¡ã
Lv.74ã¯ãããããŸãã¯çèŠããããšããããšã¯æãç«ããªã ; $proof$ = | fact2 & fact3 -> int1: ãã®ãŸã¡ããŸã¡ã
Lv.74ã¯çèŠãããšããããšã¯ãªã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B}{b} -> ¬({A}{b} v {B}{b}) fact2: ({AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact3: ({AA}{a} & ¬{AB}{a}) fact4: ¬{AB}{a} ; $hypothesis$ = ¬({A}{b} v {B}{b}) ; $proof$ = | fact2 & fact3 -> int1: ¬{B}{b}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãäºæž¬ãé£ããšããããšãçºçããããšããããšã¯æãç«ããªã | ¬{C} | fact1: äœæ¥ãæããšããããšã¯çºçããªããšããããšã¯æãããšããããšãšã·ãªã·ãLv.11äºä»¶ãçãããçãããã fact2: ã·ãªã·ãLv.11äºä»¶ãçãã fact3: ãããæãããšããããšãçºçããããŸãã¯ã·ãªã·ãLv.11äºä»¶ãçãããäž¡æ¹ã§ãããšãããäºæž¬ãé£ããšããããšã¯çºçããªã fact4: äºæž¬ãé£ããšããããšãèµ·ãããšããããšã¯æãããšããããšã«ããçºçãã | fact1: ¬{D} -> ({A} & {B}) fact2: {B} fact3: ({A} v {B}) -> ¬{C} fact4: {A} -> {C} | [
"fact2 -> int1: æãããšããããšãçãããã·ãªã·ãLv.11äºä»¶ãèµ·ãããäž¡æ¹ãšãã ; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: ({A} v {B}); int1 & fact3 -> hypothesis;"
] | äºæž¬ãé£ããšããããšãçãã | {C} | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: äœæ¥ãæããšããããšã¯çºçããªããšããããšã¯æãããšããããšãšã·ãªã·ãLv.11äºä»¶ãçãããçãããã fact2: ã·ãªã·ãLv.11äºä»¶ãçãã fact3: ãããæãããšããããšãçºçããããŸãã¯ã·ãªã·ãLv.11äºä»¶ãçãããäž¡æ¹ã§ãããšãããäºæž¬ãé£ããšããããšã¯çºçããªã fact4: äºæž¬ãé£ããšããããšãèµ·ãããšããããšã¯æãããšããããšã«ããçºçãã ; $hypothesis$ = ãäºæž¬ãé£ããšããããšãçºçããããšããããšã¯æãç«ããªã ; $proof$ = | fact2 -> int1: æãããšããããšãçãããã·ãªã·ãLv.11äºä»¶ãèµ·ãããäž¡æ¹ãšãã ; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{D} -> ({A} & {B}) fact2: {B} fact3: ({A} v {B}) -> ¬{C} fact4: {A} -> {C} ; $hypothesis$ = ¬{C} ; $proof$ = | fact2 -> int1: ({A} v {B}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããŽã¡ããŽãLv.32äºä»¶ãšèª¿ã¹æããšããããšã©ã¡ãããçããããšããããšã¯æãç«ããªã | ¬({A} & {C}) | fact1: ãœããœã¡ã
Lv.48äºä»¶ã¯èµ·ããªããšããããšã¯æªããšããããšããã³ãŽã¡ããŽãLv.32äºä»¶ãèµ·ããããããã fact2: ãœããœã¡ã
Lv.48äºä»¶ãèµ·ãã fact3: 調ã¹æããšããããšãçãã fact4: ãããœããœã¡ã
Lv.48äºä»¶ã¯èµ·ããªããªãã°ããŽã¡ããŽãLv.32äºä»¶ããã³èª¿ã¹æããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯ééãã | fact1: ¬{B} -> ({DJ} & {A}) fact2: {B} fact3: {C} fact4: ¬{B} -> ¬({A} & {C}) | [] | [] | ããŽã¡ããŽãLv.32äºä»¶ãšèª¿ã¹æããšããããšã©ã¡ãããçããããšããããšã¯æãç«ããªã | ¬({A} & {C}) | [] | 6 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãœããœã¡ã
Lv.48äºä»¶ã¯èµ·ããªããšããããšã¯æªããšããããšããã³ãŽã¡ããŽãLv.32äºä»¶ãèµ·ããããããã fact2: ãœããœã¡ã
Lv.48äºä»¶ãèµ·ãã fact3: 調ã¹æããšããããšãçãã fact4: ãããœããœã¡ã
Lv.48äºä»¶ã¯èµ·ããªããªãã°ããŽã¡ããŽãLv.32äºä»¶ããã³èª¿ã¹æããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯ééãã ; $hypothesis$ = ããŽã¡ããŽãLv.32äºä»¶ãšèª¿ã¹æããšããããšã©ã¡ãããçããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ({DJ} & {A}) fact2: {B} fact3: {C} fact4: ¬{B} -> ¬({A} & {C}) ; $hypothesis$ = ¬({A} & {C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸããŸã¡ãLv.81ã¯æãããšããããšã¯ãªãããšããããšã¯çå®ã | ¬{C}{b} | fact1: ãã®ã·ãã·ã«ãLv.91ã¯äžãæããåã fact2: ãã®ãŸããŸã¡ãLv.81ãã©ãããŠã欲ãããšããã°ãã®ã·ãã·ãLv.76ã¯æãã fact3: ãã®ã·ãã·ãLv.76ã¯æããããã®äžåã fact4: ããã®ã·ãã·ãLv.76ã¯æããããšããããšã¯çå®ã§ãã fact5: ãã®ã·ãã·ãLv.76ã¯ã©ãããŠã欲ãããåã fact6: ãã®ãŸããŸã¡ãLv.81ã¯ã©ãããŠã欲ãã | fact1: ({FJ}{de} & {B}{de}) fact2: {A}{b} -> {C}{a} fact3: ({C}{a} & {B}{a}) fact4: {C}{a} fact5: ({A}{a} & {B}{a}) fact6: {A}{b} | [
"fact5 -> int1: ãã®ã·ãã·ãLv.76ã¯ã©ãããŠã欲ãã;"
] | [
"fact5 -> int1: {A}{a};"
] | null | null | [] | null | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ãã·ã«ãLv.91ã¯äžãæããåã fact2: ãã®ãŸããŸã¡ãLv.81ãã©ãããŠã欲ãããšããã°ãã®ã·ãã·ãLv.76ã¯æãã fact3: ãã®ã·ãã·ãLv.76ã¯æããããã®äžåã fact4: ããã®ã·ãã·ãLv.76ã¯æããããšããããšã¯çå®ã§ãã fact5: ãã®ã·ãã·ãLv.76ã¯ã©ãããŠã欲ãããåã fact6: ãã®ãŸããŸã¡ãLv.81ã¯ã©ãããŠã欲ãã ; $hypothesis$ = ããã®ãŸããŸã¡ãLv.81ã¯æãããšããããšã¯ãªãããšããããšã¯çå®ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({FJ}{de} & {B}{de}) fact2: {A}{b} -> {C}{a} fact3: ({C}{a} & {B}{a}) fact4: {C}{a} fact5: ({A}{a} & {B}{a}) fact6: {A}{b} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | è¯ããšããããšããããã¯ãœããœãLv.40äºä»¶ããããã¯ã©ã¡ãããèµ·ãã | ({B} v {A}) | fact1: ãœããœãLv.40äºä»¶ãèµ·ãã | fact1: {A} | [
"fact1 -> int1: ãœããœãLv.40äºä»¶ãèµ·ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãœããœãLv.40äºä»¶ãèµ·ãã ; $hypothesis$ = è¯ããšããããšããããã¯ãœããœãLv.40äºä»¶ããããã¯ã©ã¡ãããèµ·ãã ; $proof$ = | fact1 -> int1: ãœããœãLv.40äºä»¶ãèµ·ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} ; $hypothesis$ = ({B} v {A}) ; $proof$ = | fact1 -> int1: {A}; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãªã·ãLv.35ã¯æ¢ãå§ããªã | ¬{C}{b} | fact1: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãäžãé£ããªããªãã°ããã¯æ¢ãå§ãã fact2: ãã®ãœããœã«ãLv.25ã¯äžãé£ãããã¶ãšã | fact1: (x): ¬{A}x -> {C}x fact2: ({A}{a} & {B}{a}) | [
"fact2 -> int1: ãã®ãœããœã«ãLv.25ã¯äžãé£ã;"
] | [
"fact2 -> int1: {A}{a};"
] | ãã®ãœããœã«ãLv.25ã¯æ¢ãå§ãã | {C}{a} | [
"fact3 -> int2: ããããã®ãœããœã«ãLv.25ãäžãé£ããªããšãããšãã®ãœããœã«ãLv.25ã¯æ¢ãå§ãã;"
] | 4 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãäžãé£ããªããªãã°ããã¯æ¢ãå§ãã fact2: ãã®ãœããœã«ãLv.25ã¯äžãé£ãããã¶ãšã ; $hypothesis$ = ãã®ã·ãªã·ãLv.35ã¯æ¢ãå§ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> {C}x fact2: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬{C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | 転ããããšã¯çããªã | ¬{C} | fact1: 転ããããšã¯ç¯ãé£ããšããããšã«ããçºçãã fact2: åç»ããããšãèµ·ããã°ãç¯ãé£ããšããããšã§ã¯ãªããŠè¡ãæããšããããšãçããããšããããšã¯åã fact3: è¡ãæããšããããšãèµ·ãã fact4: è¡ãæããšããããšããã³ç¯ãé£ããšããããšãçºçãã | fact1: {B} -> {C} fact2: {D} -> ¬(¬{B} & {A}) fact3: {A} fact4: ({A} & {B}) | [
"fact4 -> int1: ç¯ãé£ããšããããšãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | 転ããããšã¯çããªã | ¬{C} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: 転ããããšã¯ç¯ãé£ããšããããšã«ããçºçãã fact2: åç»ããããšãèµ·ããã°ãç¯ãé£ããšããããšã§ã¯ãªããŠè¡ãæããšããããšãçããããšããããšã¯åã fact3: è¡ãæããšããããšãèµ·ãã fact4: è¡ãæããšããããšããã³ç¯ãé£ããšããããšãçºçãã ; $hypothesis$ = 転ããããšã¯çããªã ; $proof$ = | fact4 -> int1: ç¯ãé£ããšããããšãèµ·ãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} -> {C} fact2: {D} -> ¬(¬{B} & {A}) fact3: {A} fact4: ({A} & {B}) ; $hypothesis$ = ¬{C} ; $proof$ = | fact4 -> int1: {B}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã®ãœã®Lv.6ã¯äººéã£ãœã | {B}{aa} | fact1: ããã®ãŽããŽã«ã
Lv.31ã¯ç¡è³¢ãããã©ããã¯çºãŸãæããªãããšããããšã¯æãç«ããªã fact2: ãããŒããªãã¢ã³ã¹ã¿ãŒã¯äººéã£ãœã fact3: ããã®ãœã®ãœã®Lv.6ã¯ãããŒããã©ããã¯èç©ããæããšããããšã¯ãªãããšããããšã¯æãç«ããªã | fact1: ¬({FF}{fs} & ¬{HL}{fs}) fact2: (x): ¬{AA}x -> {B}x fact3: ¬({AA}{aa} & ¬{AB}{aa}) | [] | [] | null | null | [] | null | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ãŽããŽã«ã
Lv.31ã¯ç¡è³¢ãããã©ããã¯çºãŸãæããªãããšããããšã¯æãç«ããªã fact2: ãããŒããªãã¢ã³ã¹ã¿ãŒã¯äººéã£ãœã fact3: ããã®ãœã®ãœã®Lv.6ã¯ãããŒããã©ããã¯èç©ããæããšããããšã¯ãªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ãœã®ãœã®Lv.6ã¯äººéã£ãœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({FF}{fs} & ¬{HL}{fs}) fact2: (x): ¬{AA}x -> {B}x fact3: ¬({AA}{aa} & ¬{AB}{aa}) ; $hypothesis$ = {B}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã®Lv.18ã¯äžããªã | ¬{C}{b} | fact1: ããããã®ã·ãã·ã®Lv.18ãå·ãé£ããšãããšãã®ã·ãã·ã®Lv.18ã¯äžãã fact2: ãã®ã·ãã·ãLv.2ã¯çŸãã fact3: ä»®ã«ãã®ã·ãã·ãLv.2ãå·ãé£ããªããã®ã·ãã·ã®Lv.18ã¯çŸãã fact4: ããä»®ã«ãã®ã·ãã·ãLv.2ãçŸãããªããã®ã·ãã·ã®Lv.18ã¯å·ãé£ã fact5: ãã®ã·ãã·ã®Lv.18ã¯åæŠãã | fact1: {B}{b} -> {C}{b} fact2: {A}{a} fact3: {B}{a} -> {A}{b} fact4: {A}{a} -> {B}{b} fact5: {FD}{b} | [
"fact4 & fact2 -> int1: ãã®ã·ãã·ã®Lv.18ã¯å·ãé£ã; int1 & fact1 -> hypothesis;"
] | [
"fact4 & fact2 -> int1: {B}{b}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ã·ãã·ã®Lv.18ãå·ãé£ããšãããšãã®ã·ãã·ã®Lv.18ã¯äžãã fact2: ãã®ã·ãã·ãLv.2ã¯çŸãã fact3: ä»®ã«ãã®ã·ãã·ãLv.2ãå·ãé£ããªããã®ã·ãã·ã®Lv.18ã¯çŸãã fact4: ããä»®ã«ãã®ã·ãã·ãLv.2ãçŸãããªããã®ã·ãã·ã®Lv.18ã¯å·ãé£ã fact5: ãã®ã·ãã·ã®Lv.18ã¯åæŠãã ; $hypothesis$ = ãã®ã·ãã·ã®Lv.18ã¯äžããªã ; $proof$ = | fact4 & fact2 -> int1: ãã®ã·ãã·ã®Lv.18ã¯å·ãé£ã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{b} -> {C}{b} fact2: {A}{a} fact3: {B}{a} -> {A}{b} fact4: {A}{a} -> {B}{b} fact5: {FD}{b} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact4 & fact2 -> int1: {B}{b}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœãLv.63ã¯çã
ãããªã | ¬{C}{a} | fact1: ãããšããã¢ã³ã¹ã¿ãŒãéœãæããå ããŠãããéçšãããšããã°çã
ãããªã fact2: ãããã®ãœããœãLv.63ãå€å¥ãé£ãããããæãæããªãã°ããã¯çã
ãããªã fact3: ããã¯æèäŒã£ãœããªããããã«ããã¯å©çšãé£ããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact4: ãã®ãœããœãLv.63ã¯å¿å®ã fact5: ãã®ãœããœãLv.63ã¯æãæã fact6: ãã®ãœããœãLv.63ã¯å€å¥ãé£ã fact7: ãã®ã¿ã«ã¿ã¡ãLv.7ã¯çã
ãã | fact1: (x): ({FR}x & {IF}x) -> ¬{C}x fact2: ({A}{a} & {B}{a}) -> ¬{C}{a} fact3: (x): ¬(¬{D}x & {E}x) fact4: {GR}{a} fact5: {B}{a} fact6: {A}{a} fact7: {C}{hs} | [
"fact6 & fact5 -> int1: ãã®ãœããœãLv.63ã¯å€å¥ãé£ããæŽã«æãæã; int1 & fact2 -> hypothesis;"
] | [
"fact6 & fact5 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> hypothesis;"
] | ãã®ãœããœãLv.63ã¯çã
ãã | {C}{a} | [
"fact8 -> int2: ããã®ãœã«ã
ãœãLv.16ã¯æèäŒã£ãœããªãããã©ããã¯å©çšãé£ãããšããããšã¯æãç«ããªã;"
] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããšããã¢ã³ã¹ã¿ãŒãéœãæããå ããŠãããéçšãããšããã°çã
ãããªã fact2: ãããã®ãœããœãLv.63ãå€å¥ãé£ãããããæãæããªãã°ããã¯çã
ãããªã fact3: ããã¯æèäŒã£ãœããªããããã«ããã¯å©çšãé£ããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact4: ãã®ãœããœãLv.63ã¯å¿å®ã fact5: ãã®ãœããœãLv.63ã¯æãæã fact6: ãã®ãœããœãLv.63ã¯å€å¥ãé£ã fact7: ãã®ã¿ã«ã¿ã¡ãLv.7ã¯çã
ãã ; $hypothesis$ = ãã®ãœããœãLv.63ã¯çã
ãããªã ; $proof$ = | fact6 & fact5 -> int1: ãã®ãœããœãLv.63ã¯å€å¥ãé£ããæŽã«æãæã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({FR}x & {IF}x) -> ¬{C}x fact2: ({A}{a} & {B}{a}) -> ¬{C}{a} fact3: (x): ¬(¬{D}x & {E}x) fact4: {GR}{a} fact5: {B}{a} fact6: {A}{a} fact7: {C}{hs} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact6 & fact5 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãœããœãLv.42äºä»¶ãçãã | {C} | fact1: ããœãªãœãLv.74äºä»¶ãèµ·ããããšããããšã¯çå®ã§ãã fact2: ãœãªãœãLv.74äºä»¶ãšã·ã«ã
ã·ã¡ã
Lv.27äºä»¶ãçºçããã¯ãœããœãLv.42äºä»¶ãåé¿ãã fact3: ã·ã«ã
ã·ã¡ã
Lv.27äºä»¶ãèµ·ãã fact4: ãéããšããããšã¯çããªãããœãªãœãLv.74äºä»¶ãèµ·ããããšããããšã¯éããšããããšã¯èµ·ããªããšããããšã«åž°çµãã | fact1: {A} fact2: ({A} & {B}) -> ¬{C} fact3: {B} fact4: (¬{DF} v {A}) -> ¬{DF} | [
"fact1 & fact3 -> int1: ãœãªãœãLv.74äºä»¶ãèµ·ãããããŸãã«ã·ã«ã
ã·ã¡ã
Lv.27äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis;"
] | éããšããããšã¯çºçããªã | ¬{DF} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããœãªãœãLv.74äºä»¶ãèµ·ããããšããããšã¯çå®ã§ãã fact2: ãœãªãœãLv.74äºä»¶ãšã·ã«ã
ã·ã¡ã
Lv.27äºä»¶ãçºçããã¯ãœããœãLv.42äºä»¶ãåé¿ãã fact3: ã·ã«ã
ã·ã¡ã
Lv.27äºä»¶ãèµ·ãã fact4: ãéããšããããšã¯çããªãããœãªãœãLv.74äºä»¶ãèµ·ããããšããããšã¯éããšããããšã¯èµ·ããªããšããããšã«åž°çµãã ; $hypothesis$ = ãœããœãLv.42äºä»¶ãçãã ; $proof$ = | fact1 & fact3 -> int1: ãœãªãœãLv.74äºä»¶ãèµ·ãããããŸãã«ã·ã«ã
ã·ã¡ã
Lv.27äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: ({A} & {B}) -> ¬{C} fact3: {B} fact4: (¬{DF} v {A}) -> ¬{DF} ; $hypothesis$ = {C} ; $proof$ = | fact1 & fact3 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããLv.19ã¯ãããžã¡ã³ãåºæ¥ããšããããšã¯ãªã | ¬{A}{a} | fact1: ãç«ãŠé£ããªãã¢ã³ã¹ã¿ãŒã¯åºæ·±ããªãããšããããšã¯ééã£ãŠããªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããªã fact3: ç Žãé£ããªãã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããªããå ããŠåºæ·±ããªã fact4: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯é·çŽ°ã fact5: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ãããžã¡ã³ãåºæ¥ã | fact1: (x): ¬{C}x -> ¬{B}x fact2: (x): ¬{C}x fact3: (x): ¬{D}x -> (¬{C}x & ¬{B}x) fact4: (x): {GQ}x fact5: (x): {A}x | [
"fact5 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ãããžã¡ã³ãåºæ¥ã; int1 -> hypothesis;"
] | [
"fact5 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ããããLv.19ã¯ãããžã¡ã³ãåºæ¥ããšããããšã¯ãªã | ¬{A}{a} | [
"fact6 -> int2: ãããããã®ããããLv.19ã¯ç Žãé£ããªãããšããããšã¯æãç«ãŠã°ãã®ããããLv.19ã¯ç«ãŠé£ããªããŠããã«åºæ·±ããªã;"
] | 4 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãç«ãŠé£ããªãã¢ã³ã¹ã¿ãŒã¯åºæ·±ããªãããšããããšã¯ééã£ãŠããªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããªã fact3: ç Žãé£ããªãã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããªããå ããŠåºæ·±ããªã fact4: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯é·çŽ°ã fact5: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ãããžã¡ã³ãåºæ¥ã ; $hypothesis$ = ãã®ããããLv.19ã¯ãããžã¡ã³ãåºæ¥ããšããããšã¯ãªã ; $proof$ = | fact5 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ãããžã¡ã³ãåºæ¥ã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{C}x -> ¬{B}x fact2: (x): ¬{C}x fact3: (x): ¬{D}x -> (¬{C}x & ¬{B}x) fact4: (x): {GQ}x fact5: (x): {A}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact5 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.43ã¯åãŒã£ãããªã | ¬{A}{a} | fact1: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãçãŒããšããããšã¯ãªããšãããšè¿ããšããããšã¯ãªããã©èŠèŸã fact2: ãããããã¢ã³ã¹ã¿ãŒã¯è¿ããªããšããã°ãããã¯åãŒã£ãããªãããšããããšã¯çå®ã§ãã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åãŒã£ãã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯èªã¿æããŠå·Šå³ããæã | fact1: (x): ¬{D}x -> (¬{B}x & {C}x) fact2: (x): ¬{B}x -> ¬{A}x fact3: (x): {A}x fact4: (x): ({F}x & {E}x) | [
"fact3 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åãŒã£ãã; int1 -> hypothesis;"
] | [
"fact3 -> int1: (x): {A}x; int1 -> hypothesis;"
] | å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯å å·¥ãæã | (x): {CB}x | [
"fact5 -> int2: ãã®ãããã«ã
Lv.9ãçãŒããªããªãããã¯è¿ããªããã©èŠèŸã;"
] | 10 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãçãŒããšããããšã¯ãªããšãããšè¿ããšããããšã¯ãªããã©èŠèŸã fact2: ãããããã¢ã³ã¹ã¿ãŒã¯è¿ããªããšããã°ãããã¯åãŒã£ãããªãããšããããšã¯çå®ã§ãã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åãŒã£ãã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯èªã¿æããŠå·Šå³ããæã ; $hypothesis$ = ãã®ãŽããŽãLv.43ã¯åãŒã£ãããªã ; $proof$ = | fact3 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åãŒã£ãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{D}x -> (¬{B}x & {C}x) fact2: (x): ¬{B}x -> ¬{A}x fact3: (x): {A}x fact4: (x): ({F}x & {E}x) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact3 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ãŽãLv.39ã¯æ±ãé£ããšããããšã¯ãªã | ¬{A}{a} | fact1: ãããããã®ãŽã¡ããŽã¡ãLv.9ã¯ããã©èããªãäžæ¹ã§å°ç
©ãããšããããšã¯æãç«ããªããšãããšãã®ãŽã«ãŽãLv.39ã¯æ±ãé£ã fact2: ããã¯ããã©èããªããŠããã«å°ç
©ããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ããã®ãŽã¡ããŽã¡ãLv.9ã¯æ±ãé£ããªããã©ããã©èãããšããããšã¯ééã£ãŠãã fact4: ããã©èããŠå°ç
©ãã¢ã³ã¹ã¿ãŒã¯ãªã fact5: ããããã®ã·ãã·ãLv.36ã¯æ±ãé£ããªããšãããšããã®ãŽã«ãŽãLv.39ã¯å å·¥ãæããªãããããããã¯å°ç
©ãããšããããšã¯åã fact6: ãããã®ãŽã¡ããŽã¡ãLv.9ãããã©èããªããã®ãŽã«ãŽãLv.39ã¯æ±ãé£ã fact7: ããã®ãŽã¡ããŽã¡ãLv.9ã¯ããã©èããŠããŸãã«å°ç
©ãããšããããšã¯ééãã§ãã | fact1: ¬(¬{AA}{aa} & {AB}{aa}) -> {A}{a} fact2: (x): ¬(¬{AA}x & {AB}x) fact3: ¬(¬{A}{aa} & {AA}{aa}) fact4: (x): ¬({AA}x & {AB}x) fact5: ¬{A}{b} -> ¬(¬{HR}{a} & {AB}{a}) fact6: {AA}{aa} -> {A}{a} fact7: ¬({AA}{aa} & {AB}{aa}) | [
"fact2 -> int1: ããã®ãŽã¡ããŽã¡ãLv.9ã¯ããã©èããªãããã©ããã¯å°ç
©ãããšããããšã¯æãç«ããªã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact1 -> hypothesis;"
] | ããã®ãŽã«ãŽãLv.39ã¯å å·¥ãæããªãããããå°ç
©ãããšããããšã¯åã§ãã | ¬(¬{HR}{a} & {AB}{a}) | [] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããã®ãŽã¡ããŽã¡ãLv.9ã¯ããã©èããªãäžæ¹ã§å°ç
©ãããšããããšã¯æãç«ããªããšãããšãã®ãŽã«ãŽãLv.39ã¯æ±ãé£ã fact2: ããã¯ããã©èããªããŠããã«å°ç
©ããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ããã®ãŽã¡ããŽã¡ãLv.9ã¯æ±ãé£ããªããã©ããã©èãããšããããšã¯ééã£ãŠãã fact4: ããã©èããŠå°ç
©ãã¢ã³ã¹ã¿ãŒã¯ãªã fact5: ããããã®ã·ãã·ãLv.36ã¯æ±ãé£ããªããšãããšããã®ãŽã«ãŽãLv.39ã¯å å·¥ãæããªãããããããã¯å°ç
©ãããšããããšã¯åã fact6: ãããã®ãŽã¡ããŽã¡ãLv.9ãããã©èããªããã®ãŽã«ãŽãLv.39ã¯æ±ãé£ã fact7: ããã®ãŽã¡ããŽã¡ãLv.9ã¯ããã©èããŠããŸãã«å°ç
©ãããšããããšã¯ééãã§ãã ; $hypothesis$ = ãã®ãŽã«ãŽãLv.39ã¯æ±ãé£ããšããããšã¯ãªã ; $proof$ = | fact2 -> int1: ããã®ãŽã¡ããŽã¡ãLv.9ã¯ããã©èããªãããã©ããã¯å°ç
©ãããšããããšã¯æãç«ããªã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA}{aa} & {AB}{aa}) -> {A}{a} fact2: (x): ¬(¬{AA}x & {AB}x) fact3: ¬(¬{A}{aa} & {AA}{aa}) fact4: (x): ¬({AA}x & {AB}x) fact5: ¬{A}{b} -> ¬(¬{HR}{a} & {AB}{a}) fact6: {AA}{aa} -> {A}{a} fact7: ¬({AA}{aa} & {AB}{aa}) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact2 -> int1: ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã¡ã
ãŽãLv.34ã¯å°ãªããªã | ¬{C}{a} | fact1: ããããã®ãŽã¡ã
ãŽãLv.34ãç±æããããŸãã¯ããã客芳åããããŸãã¯äž¡æ¹ãšãã ãšããã°ãã®ãŽã¡ã
ãŽãLv.34ã¯å°ãªããªã fact2: ãããã®ãœããœãLv.1ã¯äŒŽãæãããããã¯èªãã£ãœããäž¡æ¹ã§ãããªããå°ãªããªãããšããããšã¯ç¢ºãã§ãã | fact1: ({A}{a} v {B}{a}) -> ¬{C}{a} fact2: ({DC}{gq} v {HA}{gq}) -> ¬{C}{gq} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã®ãŽã¡ã
ãŽãLv.34ãç±æããããŸãã¯ããã客芳åããããŸãã¯äž¡æ¹ãšãã ãšããã°ãã®ãŽã¡ã
ãŽãLv.34ã¯å°ãªããªã fact2: ãããã®ãœããœãLv.1ã¯äŒŽãæãããããã¯èªãã£ãœããäž¡æ¹ã§ãããªããå°ãªããªãããšããããšã¯ç¢ºãã§ãã ; $hypothesis$ = ãã®ãŽã¡ã
ãŽãLv.34ã¯å°ãªããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} v {B}{a}) -> ¬{C}{a} fact2: ({DC}{gq} v {HA}{gq}) -> ¬{C}{gq} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸãLv.99ã¯ã€ã¡ãŒãžãæããªã | ¬{B}{b} | fact1: 人éã£ãœãã¢ã³ã¹ã¿ãŒã¯åŸãæããšããããšã¯ãªããã©æ¶èã fact2: ãã®ã¿ãã¿ãªLv.75ã¯æ¶èã fact3: ãããåŸãæããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒãæ¶èããšãããããã¯ã€ã¡ãŒãžãæããªã fact4: ãã®ã·ã«ã·ã«ã
Lv.56ã¯æ¶èã fact5: ããä»®ã«ãã®ã¿ãã¿ãªLv.75ã¯ã€ã¡ãŒãžãæããªãã°ãããã®ãŸããŸãLv.99ã¯æ¶èããªãããšããããšã¯èª€ãã§ããããšããããšã¯ç¢ºãã fact6: ããä»®ã«ãã®ã¿ãã¿ãªLv.75ãæ¶èããšããã°ãã®ãŸããŸãLv.99ã¯ã€ã¡ãŒãžãæã | fact1: (x): {D}x -> (¬{C}x & {A}x) fact2: {A}{a} fact3: (x): (¬{C}x & {A}x) -> ¬{B}x fact4: {A}{jh} fact5: {B}{a} -> {A}{b} fact6: {A}{a} -> {B}{b} | [
"fact2 -> int1: ãã®ã¿ãã¿ãªLv.75ã¯æ¶èã; int1 & fact6 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact6 -> hypothesis;"
] | ãã®ãŸããŸãLv.99ã¯ã€ã¡ãŒãžãæããªã | ¬{B}{b} | [
"fact8 -> int2: ããããã®ãŸããŸãLv.99ã¯åŸãæããªããæ¶èããšãããããã¯ã€ã¡ãŒãžãæããšããããšã¯ãªã; fact7 -> int3: ãã®ãŸããŸãLv.99ã人éã£ãœããªãåŸãæããªãããã©æ¶èã;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: 人éã£ãœãã¢ã³ã¹ã¿ãŒã¯åŸãæããšããããšã¯ãªããã©æ¶èã fact2: ãã®ã¿ãã¿ãªLv.75ã¯æ¶èã fact3: ãããåŸãæããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒãæ¶èããšãããããã¯ã€ã¡ãŒãžãæããªã fact4: ãã®ã·ã«ã·ã«ã
Lv.56ã¯æ¶èã fact5: ããä»®ã«ãã®ã¿ãã¿ãªLv.75ã¯ã€ã¡ãŒãžãæããªãã°ãããã®ãŸããŸãLv.99ã¯æ¶èããªãããšããããšã¯èª€ãã§ããããšããããšã¯ç¢ºãã fact6: ããä»®ã«ãã®ã¿ãã¿ãªLv.75ãæ¶èããšããã°ãã®ãŸããŸãLv.99ã¯ã€ã¡ãŒãžãæã ; $hypothesis$ = ãã®ãŸããŸãLv.99ã¯ã€ã¡ãŒãžãæããªã ; $proof$ = | fact2 -> int1: ãã®ã¿ãã¿ãªLv.75ã¯æ¶èã; int1 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {D}x -> (¬{C}x & {A}x) fact2: {A}{a} fact3: (x): (¬{C}x & {A}x) -> ¬{B}x fact4: {A}{jh} fact5: {B}{a} -> {A}{b} fact6: {A}{a} -> {B}{b} ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãœã«ããœãLv.21äºä»¶ãèµ·ããããããã¯æ¶èããšããããšãçãã | ({A} v {C}) | fact1: ãã¿ãã¿ãLv.83äºä»¶ãçããããããã¯ãœããœãLv.66äºä»¶ãçºçãããã©ã¡ããã§ããããšããããšã¯ééã£ãŠããªã fact2: ãœã«ããœãLv.21äºä»¶ãšç©ã¿äžããããšäž¡æ¹ãèµ·ãã | fact1: ({FL} v {GL}) fact2: ({A} & {B}) | [
"fact2 -> int1: ãœã«ããœãLv.21äºä»¶ãçãã; int1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã¿ãã¿ãLv.83äºä»¶ãçããããããã¯ãœããœãLv.66äºä»¶ãçºçãããã©ã¡ããã§ããããšããããšã¯ééã£ãŠããªã fact2: ãœã«ããœãLv.21äºä»¶ãšç©ã¿äžããããšäž¡æ¹ãèµ·ãã ; $hypothesis$ = ãœã«ããœãLv.21äºä»¶ãèµ·ããããããã¯æ¶èããšããããšãçãã ; $proof$ = | fact2 -> int1: ãœã«ããœãLv.21äºä»¶ãçãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({FL} v {GL}) fact2: ({A} & {B}) ; $hypothesis$ = ({A} v {C}) ; $proof$ = | fact2 -> int1: {A}; int1 -> hypothesis; __PROVED__ |
0.3 | ããŽããŽãLv.94äºä»¶ãèµ·ãããæãæããšããããšãèµ·ããããšããããšã¯èª€ã£ãŠãã | ¬({C} & {B}) | fact1: ãŽããŽãLv.94äºä»¶ãçºçãã fact2: å¥ã§å§ããããšãçºçããããããã¿ã¡ãã¿ãLv.71äºä»¶ãèµ·ãã fact3: åãç²ããããšãèµ·ãã fact4: æãæããšããããšã¯åãç²ããããšã«èµ·å ãã | fact1: {C} fact2: ({GR} & {HD}) fact3: {A} fact4: {A} -> {B} | [
"fact4 & fact3 -> int1: æãæããšããããšãçãã; int1 & fact1 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãŽããŽãLv.94äºä»¶ãçºçãã fact2: å¥ã§å§ããããšãçºçããããããã¿ã¡ãã¿ãLv.71äºä»¶ãèµ·ãã fact3: åãç²ããããšãèµ·ãã fact4: æãæããšããããšã¯åãç²ããããšã«èµ·å ãã ; $hypothesis$ = ããŽããŽãLv.94äºä»¶ãèµ·ãããæãæããšããããšãèµ·ããããšããããšã¯èª€ã£ãŠãã ; $proof$ = | fact4 & fact3 -> int1: æãæããšããããšãçãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: ({GR} & {HD}) fact3: {A} fact4: {A} -> {B} ; $hypothesis$ = ¬({C} & {B}) ; $proof$ = | fact4 & fact3 -> int1: {B}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ã
ãã¡ãLv.56ã¯åŸ¡è¥ããªã | ¬{C}{c} | fact1: ããããã®ãŽããŽãLv.27ãæãããšããã°ãã®ãã«ã
ãã¡ãLv.56ã¯åŸ¡è¥ã fact2: ããã®ãŽã«ã
ãŽãLv.87ã¯ç¶æãåŸãããšããããšã¯æ¬åœã§ãããšããã°ãã®ãŽããŽãLv.27ã¯æãã fact3: ãã®ãŽã«ã
ãŽãLv.87ã¯ç¶æãåŸã | fact1: {B}{b} -> {C}{c} fact2: {A}{a} -> {B}{b} fact3: {A}{a} | [
"fact2 & fact3 -> int1: ãã®ãŽããŽãLv.27ã¯æãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: {B}{b}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ãŽããŽãLv.27ãæãããšããã°ãã®ãã«ã
ãã¡ãLv.56ã¯åŸ¡è¥ã fact2: ããã®ãŽã«ã
ãŽãLv.87ã¯ç¶æãåŸãããšããããšã¯æ¬åœã§ãããšããã°ãã®ãŽããŽãLv.27ã¯æãã fact3: ãã®ãŽã«ã
ãŽãLv.87ã¯ç¶æãåŸã ; $hypothesis$ = ãã®ãã«ã
ãã¡ãLv.56ã¯åŸ¡è¥ããªã ; $proof$ = | fact2 & fact3 -> int1: ãã®ãŽããŽãLv.27ã¯æãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{b} -> {C}{c} fact2: {A}{a} -> {B}{b} fact3: {A}{a} ; $hypothesis$ = ¬{C}{c} ; $proof$ = | fact2 & fact3 -> int1: {B}{b}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãªã·ãLv.60ã¯çãŒããããã«åºã | ({B}{b} & {C}{b}) | fact1: ãã®ã¿ã«ãã¿ã«ãLv.76ã¯åºã fact2: ãã®ããããLv.28ã¯æœã fact3: ããã®ããããLv.28ã¯æœãããšããããšã¯äºå®ã ãšãããããã®ã·ãªã·ãLv.60ã¯çãŒãããšããããšã¯ç¢ºãã fact4: ãã®ã·ãªã·ãLv.60ã¯åºã | fact1: {C}{ao} fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: {C}{b} | [
"fact3 & fact2 -> int1: ãã®ã·ãªã·ãLv.60ã¯çãŒã; int1 & fact4 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}{b}; int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã¿ã«ãã¿ã«ãLv.76ã¯åºã fact2: ãã®ããããLv.28ã¯æœã fact3: ããã®ããããLv.28ã¯æœãããšããããšã¯äºå®ã ãšãããããã®ã·ãªã·ãLv.60ã¯çãŒãããšããããšã¯ç¢ºãã fact4: ãã®ã·ãªã·ãLv.60ã¯åºã ; $hypothesis$ = ãã®ã·ãªã·ãLv.60ã¯çãŒããããã«åºã ; $proof$ = | fact3 & fact2 -> int1: ãã®ã·ãªã·ãLv.60ã¯çãŒã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{ao} fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: {C}{b} ; $hypothesis$ = ({B}{b} & {C}{b}) ; $proof$ = | fact3 & fact2 -> int1: {B}{b}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãããã«Lv.60äºä»¶ã¯çããªã | ¬{C} | fact1: çããããšããããšãçããããã¡ã
ããLv.39äºä»¶ãèµ·ãã fact2: æ©ããšããããšãèµ·ãã | fact1: ({A} & {B}) fact2: {BE} | [
"fact1 -> int1: ãã¡ã
ããLv.39äºä»¶ãèµ·ãã;"
] | [
"fact1 -> int1: {B};"
] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: çããããšããããšãçããããã¡ã
ããLv.39äºä»¶ãèµ·ãã fact2: æ©ããšããããšãèµ·ãã ; $hypothesis$ = ãããã«Lv.60äºä»¶ã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) fact2: {BE} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
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