TSTP Solution File: SET921+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET921+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:57:04 EDT 2022
% Result : Theorem 0.99s 1.43s
% Output : Proof 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET921+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 21:01:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.99/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.99/1.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.99/1.44
% 0.99/1.44 %-----------------------------------------------------
% 0.99/1.44 fof(t64_zfmisc_1, conjecture, ! [_29091, _29094, _29097] : (in(_29091, set_difference(_29094, singleton(_29097))) <=> in(_29091, _29094) & (! _29091) = _29097), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t64_zfmisc_1)).
% 0.99/1.44 fof(d1_tarski, axiom, ! [_29400, _29403] : (_29403 = singleton(_29400) <=> ! [_29421] : (in(_29421, _29403) <=> _29421 = _29400)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.99/1.44 fof(d4_xboole_0, axiom, ! [_29621, _29624, _29627] : (_29627 = set_difference(_29621, _29624) <=> ! [_29648] : (in(_29648, _29627) <=> in(_29648, _29621) & ~ in(_29648, _29624))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.99/1.44
% 0.99/1.44 cnf(1, plain, [-(9 ^ []), in(5 ^ [], set_difference(6 ^ [], singleton(7 ^ [])))], clausify(t64_zfmisc_1)).
% 0.99/1.44 cnf(2, plain, [-(9 ^ []), 5 ^ [] = 7 ^ []], clausify(t64_zfmisc_1)).
% 0.99/1.44 cnf(3, plain, [-(9 ^ []), -(in(5 ^ [], 6 ^ []))], clausify(t64_zfmisc_1)).
% 0.99/1.44 cnf(4, plain, [-(8 ^ []), in(5 ^ [], 6 ^ []), -(5 ^ [] = 7 ^ [])], clausify(t64_zfmisc_1)).
% 0.99/1.44 cnf(5, plain, [-(8 ^ []), -(in(5 ^ [], set_difference(6 ^ [], singleton(7 ^ []))))], clausify(t64_zfmisc_1)).
% 0.99/1.44 cnf(6, plain, [9 ^ [], 8 ^ []], clausify(t64_zfmisc_1)).
% 0.99/1.44 cnf(7, plain, [_7458 = _7507, -(singleton(_7458) = singleton(_7507))], theory(equality)).
% 0.99/1.44 cnf(8, plain, [-(set_difference(_6844, _6977) = set_difference(_6911, _7042)), _6844 = _6911, _6977 = _7042], theory(equality)).
% 0.99/1.44 cnf(9, plain, [-(_4963 = _4963)], theory(equality)).
% 0.99/1.44 cnf(10, plain, [_8226 = singleton(_8168), in(_8358, _8226), -(_8358 = _8168)], clausify(d1_tarski)).
% 0.99/1.44 cnf(11, plain, [_8226 = singleton(_8168), -(in(_8358, _8226)), _8358 = _8168], clausify(d1_tarski)).
% 0.99/1.44 cnf(12, plain, [_8792 = set_difference(_8649, _8721), in(_8958, _8792), -(in(_8958, _8649))], clausify(d4_xboole_0)).
% 0.99/1.44 cnf(13, plain, [_8792 = set_difference(_8649, _8721), in(_8958, _8792), in(_8958, _8721)], clausify(d4_xboole_0)).
% 0.99/1.44 cnf(14, plain, [_8792 = set_difference(_8649, _8721), -(in(_8958, _8792)), in(_8958, _8649), -(in(_8958, _8721))], clausify(d4_xboole_0)).
% 0.99/1.44
% 0.99/1.44 cnf('1',plain,[9 ^ [], 8 ^ []],start(6)).
% 0.99/1.44 cnf('1.1',plain,[-(9 ^ []), in(5 ^ [], set_difference(6 ^ [], singleton(7 ^ [])))],extension(1)).
% 0.99/1.44 cnf('1.1.1',plain,[-(in(5 ^ [], set_difference(6 ^ [], singleton(7 ^ [])))), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))) = set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))), in(5 ^ [], set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))))],extension(12,bind([[_8649, _8721, _8958, _8792], [set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)), 5 ^ [], set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))]]))).
% 0.99/1.44 cnf('1.1.1.1',plain,[-(set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))) = set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))), set_difference(6 ^ [], singleton(7 ^ [])) = set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)) = singleton(singleton(_14518))],extension(8,bind([[_6844, _6911, _6977, _7042], [set_difference(6 ^ [], singleton(7 ^ [])), set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)), singleton(singleton(_14518))]]))).
% 0.99/1.44 cnf('1.1.1.1.1',plain,[-(set_difference(6 ^ [], singleton(7 ^ [])) = set_difference(6 ^ [], singleton(7 ^ []))), 6 ^ [] = 6 ^ [], singleton(7 ^ []) = singleton(7 ^ [])],extension(8,bind([[_6844, _6911, _6977, _7042], [6 ^ [], 6 ^ [], singleton(7 ^ []), singleton(7 ^ [])]]))).
% 0.99/1.44 cnf('1.1.1.1.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(9,bind([[_4963], [6 ^ []]]))).
% 0.99/1.44 cnf('1.1.1.1.1.2',plain,[-(singleton(7 ^ []) = singleton(7 ^ [])), 7 ^ [] = 7 ^ []],extension(7,bind([[_7458, _7507], [7 ^ [], 7 ^ []]]))).
% 0.99/1.44 cnf('1.1.1.1.1.2.1',plain,[-(7 ^ [] = 7 ^ [])],extension(9,bind([[_4963], [7 ^ []]]))).
% 0.99/1.44 cnf('1.1.1.1.2',plain,[-(singleton(singleton(_14518)) = singleton(singleton(_14518))), singleton(_14518) = singleton(_14518)],extension(7,bind([[_7458, _7507], [singleton(_14518), singleton(_14518)]]))).
% 0.99/1.44 cnf('1.1.1.1.2.1',plain,[-(singleton(_14518) = singleton(_14518)), _14518 = _14518],extension(7,bind([[_7458, _7507], [_14518, _14518]]))).
% 0.99/1.44 cnf('1.1.1.1.2.1.1',plain,[-(_14518 = _14518)],extension(9,bind([[_4963], [_14518]]))).
% 0.99/1.44 cnf('1.1.1.2',plain,[-(in(5 ^ [], set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))))), set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))) = set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))), -(in(5 ^ [], set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))))), in(5 ^ [], singleton(7 ^ []))],extension(14,bind([[_8721, _8792, _8958, _8649], [set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))), set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))), 5 ^ [], singleton(7 ^ [])]]))).
% 0.99/1.44 cnf('1.1.1.2.1',plain,[-(set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))) = set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))))), singleton(7 ^ []) = singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))) = set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))],extension(8,bind([[_6844, _6911, _6977, _7042], [singleton(7 ^ []), singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))]]))).
% 0.99/1.44 cnf('1.1.1.2.1.1',plain,[-(singleton(7 ^ []) = singleton(7 ^ [])), 7 ^ [] = 7 ^ []],extension(7,bind([[_7458, _7507], [7 ^ [], 7 ^ []]]))).
% 0.99/1.44 cnf('1.1.1.2.1.1.1',plain,[-(7 ^ [] = 7 ^ [])],extension(9,bind([[_4963], [7 ^ []]]))).
% 0.99/1.44 cnf('1.1.1.2.1.2',plain,[-(set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))) = set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))), set_difference(6 ^ [], singleton(7 ^ [])) = set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)) = singleton(singleton(_14518))],extension(8,bind([[_6844, _6911, _6977, _7042], [set_difference(6 ^ [], singleton(7 ^ [])), set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)), singleton(singleton(_14518))]]))).
% 0.99/1.44 cnf('1.1.1.2.1.2.1',plain,[-(set_difference(6 ^ [], singleton(7 ^ [])) = set_difference(6 ^ [], singleton(7 ^ [])))],extension(9,bind([[_4963], [set_difference(6 ^ [], singleton(7 ^ []))]]))).
% 0.99/1.44 cnf('1.1.1.2.1.2.2',plain,[-(singleton(singleton(_14518)) = singleton(singleton(_14518)))],extension(9,bind([[_4963], [singleton(singleton(_14518))]]))).
% 0.99/1.44 cnf('1.1.1.2.2',plain,[in(5 ^ [], set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))))), set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))) = set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))), -(in(5 ^ [], singleton(7 ^ [])))],extension(12,bind([[_8792, _8721, _8958, _8649], [set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))), 5 ^ [], singleton(7 ^ [])]]))).
% 0.99/1.44 cnf('1.1.1.2.2.1',plain,[-(set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))) = set_difference(singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))))), singleton(7 ^ []) = singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))) = set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))],extension(8,bind([[_6844, _6911, _6977, _7042], [singleton(7 ^ []), singleton(7 ^ []), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))), set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))]]))).
% 0.99/1.44 cnf('1.1.1.2.2.1.1',plain,[-(singleton(7 ^ []) = singleton(7 ^ []))],extension(9,bind([[_4963], [singleton(7 ^ [])]]))).
% 0.99/1.44 cnf('1.1.1.2.2.1.2',plain,[-(set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))) = set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518))))],extension(9,bind([[_4963], [set_difference(set_difference(6 ^ [], singleton(7 ^ [])), singleton(singleton(_14518)))]]))).
% 0.99/1.44 cnf('1.1.1.2.2.2',plain,[in(5 ^ [], singleton(7 ^ [])), singleton(7 ^ []) = singleton(7 ^ []), -(5 ^ [] = 7 ^ [])],extension(10,bind([[_8226, _8358, _8168], [singleton(7 ^ []), 5 ^ [], 7 ^ []]]))).
% 0.99/1.44 cnf('1.1.1.2.2.2.1',plain,[-(singleton(7 ^ []) = singleton(7 ^ []))],extension(9,bind([[_4963], [singleton(7 ^ [])]]))).
% 0.99/1.44 cnf('1.1.1.2.2.2.2',plain,[5 ^ [] = 7 ^ [], -(9 ^ [])],extension(2)).
% 0.99/1.44 cnf('1.1.1.2.2.2.2.1',plain,[9 ^ []],reduction('1')).
% 0.99/1.44 cnf('1.1.1.2.3',plain,[-(in(5 ^ [], singleton(7 ^ []))), set_difference(6 ^ [], singleton(7 ^ [])) = set_difference(6 ^ [], singleton(7 ^ [])), -(in(5 ^ [], set_difference(6 ^ [], singleton(7 ^ [])))), in(5 ^ [], 6 ^ [])],extension(14,bind([[_8721, _8792, _8958, _8649], [singleton(7 ^ []), set_difference(6 ^ [], singleton(7 ^ [])), 5 ^ [], 6 ^ []]]))).
% 0.99/1.44 cnf('1.1.1.2.3.1',plain,[-(set_difference(6 ^ [], singleton(7 ^ [])) = set_difference(6 ^ [], singleton(7 ^ []))), 6 ^ [] = 6 ^ [], singleton(7 ^ []) = singleton(7 ^ [])],extension(8,bind([[_6844, _6911, _6977, _7042], [6 ^ [], 6 ^ [], singleton(7 ^ []), singleton(7 ^ [])]]))).
% 0.99/1.44 cnf('1.1.1.2.3.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(9,bind([[_4963], [6 ^ []]]))).
% 0.99/1.44 cnf('1.1.1.2.3.1.2',plain,[-(singleton(7 ^ []) = singleton(7 ^ []))],extension(9,bind([[_4963], [singleton(7 ^ [])]]))).
% 0.99/1.44 cnf('1.1.1.2.3.2',plain,[in(5 ^ [], set_difference(6 ^ [], singleton(7 ^ [])))],reduction('1.1')).
% 0.99/1.44 cnf('1.1.1.2.3.3',plain,[-(in(5 ^ [], 6 ^ [])), -(9 ^ [])],extension(3)).
% 0.99/1.44 cnf('1.1.1.2.3.3.1',plain,[9 ^ []],reduction('1')).
% 0.99/1.44 cnf('1.2',plain,[-(8 ^ []), -(in(5 ^ [], set_difference(6 ^ [], singleton(7 ^ []))))],extension(5)).
% 0.99/1.44 cnf('1.2.1',plain,[in(5 ^ [], set_difference(6 ^ [], singleton(7 ^ []))), set_difference(6 ^ [], singleton(7 ^ [])) = set_difference(6 ^ [], singleton(7 ^ [])), in(5 ^ [], singleton(7 ^ []))],extension(13,bind([[_8792, _8649, _8958, _8721], [set_difference(6 ^ [], singleton(7 ^ [])), 6 ^ [], 5 ^ [], singleton(7 ^ [])]]))).
% 0.99/1.44 cnf('1.2.1.1',plain,[-(set_difference(6 ^ [], singleton(7 ^ [])) = set_difference(6 ^ [], singleton(7 ^ []))), 6 ^ [] = 6 ^ [], singleton(7 ^ []) = singleton(7 ^ [])],extension(8,bind([[_6844, _6911, _6977, _7042], [6 ^ [], 6 ^ [], singleton(7 ^ []), singleton(7 ^ [])]]))).
% 0.99/1.44 cnf('1.2.1.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(9,bind([[_4963], [6 ^ []]]))).
% 0.99/1.44 cnf('1.2.1.1.2',plain,[-(singleton(7 ^ []) = singleton(7 ^ [])), 7 ^ [] = 7 ^ []],extension(7,bind([[_7458, _7507], [7 ^ [], 7 ^ []]]))).
% 0.99/1.44 cnf('1.2.1.1.2.1',plain,[-(7 ^ [] = 7 ^ [])],extension(9,bind([[_4963], [7 ^ []]]))).
% 0.99/1.44 cnf('1.2.1.2',plain,[-(in(5 ^ [], singleton(7 ^ []))), singleton(7 ^ []) = singleton(7 ^ []), 5 ^ [] = 7 ^ []],extension(11,bind([[_8226, _8358, _8168], [singleton(7 ^ []), 5 ^ [], 7 ^ []]]))).
% 0.99/1.44 cnf('1.2.1.2.1',plain,[-(singleton(7 ^ []) = singleton(7 ^ [])), 7 ^ [] = 7 ^ []],extension(7,bind([[_7458, _7507], [7 ^ [], 7 ^ []]]))).
% 0.99/1.44 cnf('1.2.1.2.1.1',plain,[-(7 ^ [] = 7 ^ [])],extension(9,bind([[_4963], [7 ^ []]]))).
% 0.99/1.44 cnf('1.2.1.2.2',plain,[-(5 ^ [] = 7 ^ []), -(8 ^ []), in(5 ^ [], 6 ^ [])],extension(4)).
% 0.99/1.44 cnf('1.2.1.2.2.1',plain,[8 ^ []],reduction('1')).
% 0.99/1.44 cnf('1.2.1.2.2.2',plain,[-(in(5 ^ [], 6 ^ [])), set_difference(6 ^ [], singleton(7 ^ [])) = set_difference(6 ^ [], singleton(7 ^ [])), in(5 ^ [], set_difference(6 ^ [], singleton(7 ^ [])))],extension(12,bind([[_8649, _8721, _8958, _8792], [6 ^ [], singleton(7 ^ []), 5 ^ [], set_difference(6 ^ [], singleton(7 ^ []))]]))).
% 0.99/1.44 cnf('1.2.1.2.2.2.1',plain,[-(set_difference(6 ^ [], singleton(7 ^ [])) = set_difference(6 ^ [], singleton(7 ^ [])))],extension(9,bind([[_4963], [set_difference(6 ^ [], singleton(7 ^ []))]]))).
% 0.99/1.44 cnf('1.2.1.2.2.2.2',plain,[-(in(5 ^ [], set_difference(6 ^ [], singleton(7 ^ []))))],reduction('1.2')).
% 0.99/1.44 %-----------------------------------------------------
% 0.99/1.45
% 0.99/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------