TSTP Solution File: SET755+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET755+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 02:55:46 EDT 2022
% Result : Theorem 84.22s 81.32s
% Output : Proof 84.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET755+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 00:51:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 84.22/81.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.22/81.33 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.22/81.33
% 84.22/81.33 %-----------------------------------------------------
% 84.22/81.33 fof(thIIa05, conjecture, ! [_125890, _125893, _125896, _125899, _125902] : (maps(_125890, _125893, _125896) & subset(_125899, _125896) & subset(_125902, _125896) & subset(_125899, _125902) => subset(inverse_image2(_125890, _125899), inverse_image2(_125890, _125902))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIIa05)).
% 84.22/81.33 fof(subset, axiom, ! [_126268, _126271] : (subset(_126268, _126271) <=> ! [_126289] : (member(_126289, _126268) => member(_126289, _126271))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 84.22/81.33 fof(intersection, axiom, ! [_126502, _126505, _126508] : (member(_126502, intersection(_126505, _126508)) <=> member(_126502, _126505) & member(_126502, _126508)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', intersection)).
% 84.22/81.33 fof(inverse_image2, axiom, ! [_126801, _126804, _126807] : (member(_126807, inverse_image2(_126801, _126804)) <=> ? [_126832] : (member(_126832, _126804) & apply(_126801, _126807, _126832))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax', inverse_image2)).
% 84.22/81.33
% 84.22/81.33 cnf(1, plain, [-(subset(44 ^ [], 45 ^ []))], clausify(thIIa05)).
% 84.22/81.33 cnf(2, plain, [subset(inverse_image2(41 ^ [], 44 ^ []), inverse_image2(41 ^ [], 45 ^ []))], clausify(thIIa05)).
% 84.22/81.33 cnf(3, plain, [-(_24102 = _24102)], theory(equality)).
% 84.22/81.33 cnf(4, plain, [-(apply(_25095, _25262, _25425)), apply(_25010, _25179, _25344), _25010 = _25095, _25179 = _25262, _25344 = _25425], theory(equality)).
% 84.22/81.33 cnf(5, plain, [-(member(_41117, _41248)), member(_41050, _41183), _41050 = _41117, _41183 = _41248], theory(equality)).
% 84.22/81.33 cnf(6, plain, [-(subset(_54960, _55016)), -(member(1 ^ [_55016, _54960], _54960))], clausify(subset)).
% 84.22/81.33 cnf(7, plain, [-(subset(_54960, _55016)), member(1 ^ [_55016, _54960], _55016)], clausify(subset)).
% 84.22/81.33 cnf(8, plain, [subset(_54960, _55016), member(_55130, _54960), -(member(_55130, _55016))], clausify(subset)).
% 84.22/81.33 cnf(9, plain, [member(_56147, intersection(_56206, _56264)), -(member(_56147, _56264))], clausify(intersection)).
% 84.22/81.33 cnf(10, plain, [-(member(_56147, intersection(_56206, _56264))), member(_56147, _56206), member(_56147, _56264)], clausify(intersection)).
% 84.22/81.33 cnf(11, plain, [member(_73507, inverse_image2(_73378, _73443)), -(member(27 ^ [_73507, _73443, _73378], _73443))], clausify(inverse_image2)).
% 84.22/81.33 cnf(12, plain, [member(_73507, inverse_image2(_73378, _73443)), -(apply(_73378, _73507, 27 ^ [_73507, _73443, _73378]))], clausify(inverse_image2)).
% 84.22/81.33 cnf(13, plain, [-(member(_73507, inverse_image2(_73378, _73443))), member(_73667, _73443), apply(_73378, _73507, _73667)], clausify(inverse_image2)).
% 84.22/81.33
% 84.22/81.33 cnf('1',plain,[subset(inverse_image2(41 ^ [], 44 ^ []), inverse_image2(41 ^ [], 45 ^ []))],start(2)).
% 84.22/81.33 cnf('1.1',plain,[-(subset(inverse_image2(41 ^ [], 44 ^ []), inverse_image2(41 ^ [], 45 ^ []))), -(member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 44 ^ [])))],extension(6,bind([[_55016, _54960], [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])]]))).
% 84.22/81.33 cnf('1.1.1',plain,[member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 44 ^ [])), -(member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], intersection(inverse_image2(41 ^ [], 44 ^ []), inverse_image2(41 ^ [], 45 ^ [])))), member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 45 ^ []))],extension(10,bind([[_56206, _56147, _56264], [inverse_image2(41 ^ [], 44 ^ []), 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 45 ^ [])]]))).
% 84.22/81.33 cnf('1.1.1.1',plain,[member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], intersection(inverse_image2(41 ^ [], 44 ^ []), inverse_image2(41 ^ [], 45 ^ []))), -(member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 45 ^ [])))],extension(9,bind([[_56206, _56147, _56264], [inverse_image2(41 ^ [], 44 ^ []), 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 45 ^ [])]]))).
% 84.22/81.33 cnf('1.1.1.1.1',plain,[member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 45 ^ [])), -(member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 45 ^ []))), 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])] = 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 45 ^ []) = inverse_image2(41 ^ [], 45 ^ [])],extension(5,bind([[_41050, _41117, _41183, _41248], [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 45 ^ [])]]))).
% 84.22/81.33 cnf('1.1.1.1.1.1',plain,[member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 45 ^ [])), -(subset(inverse_image2(41 ^ [], 44 ^ []), inverse_image2(41 ^ [], 45 ^ [])))],extension(7,bind([[_54960, _55016], [inverse_image2(41 ^ [], 44 ^ []), inverse_image2(41 ^ [], 45 ^ [])]]))).
% 84.22/81.33 cnf('1.1.1.1.1.1.1',plain,[subset(inverse_image2(41 ^ [], 44 ^ []), inverse_image2(41 ^ [], 45 ^ []))],extension(2)).
% 84.22/81.33 cnf('1.1.1.1.1.2',plain,[-(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])] = 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])])],extension(3,bind([[_24102], [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])]]]))).
% 84.22/81.33 cnf('1.1.1.1.1.3',plain,[-(inverse_image2(41 ^ [], 45 ^ []) = inverse_image2(41 ^ [], 45 ^ []))],extension(3,bind([[_24102], [inverse_image2(41 ^ [], 45 ^ [])]]))).
% 84.22/81.33 cnf('1.1.1.2',plain,[-(member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 45 ^ []))), member(27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 45 ^ []), apply(41 ^ [], 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []])],extension(13,bind([[_73443, _73378, _73507, _73667], [45 ^ [], 41 ^ [], 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []]]]))).
% 84.22/81.33 cnf('1.1.1.2.1',plain,[-(member(27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 45 ^ [])), subset(44 ^ [], 45 ^ []), member(27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 44 ^ [])],extension(8,bind([[_55016, _55130, _54960], [45 ^ [], 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 44 ^ []]]))).
% 84.22/81.33 cnf('1.1.1.2.1.1',plain,[-(subset(44 ^ [], 45 ^ []))],extension(1)).
% 84.22/81.33 cnf('1.1.1.2.1.2',plain,[-(member(27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 44 ^ [])), member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 44 ^ []))],extension(11,bind([[_73507, _73378, _73443], [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 41 ^ [], 44 ^ []]]))).
% 84.22/81.33 cnf('1.1.1.2.1.2.1',plain,[-(member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 44 ^ [])))],reduction('1.1')).
% 84.22/81.33 cnf('1.1.1.2.2',plain,[-(apply(41 ^ [], 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []])), apply(41 ^ [], 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []]), 41 ^ [] = 41 ^ [], 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])] = 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []] = 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []]],extension(4,bind([[_25010, _25095, _25179, _25262, _25344, _25425], [41 ^ [], 41 ^ [], 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []], 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []]]]))).
% 84.22/81.33 cnf('1.1.1.2.2.1',plain,[-(apply(41 ^ [], 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []])), member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 44 ^ []))],extension(12,bind([[_73507, _73378, _73443], [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 41 ^ [], 44 ^ []]]))).
% 84.22/81.33 cnf('1.1.1.2.2.1.1',plain,[-(member(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], inverse_image2(41 ^ [], 44 ^ [])))],reduction('1.1')).
% 84.22/81.33 cnf('1.1.1.2.2.2',plain,[-(41 ^ [] = 41 ^ [])],extension(3,bind([[_24102], [41 ^ []]]))).
% 84.22/81.33 cnf('1.1.1.2.2.3',plain,[-(1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])] = 1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])])],extension(3,bind([[_24102], [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])]]]))).
% 84.22/81.33 cnf('1.1.1.2.2.4',plain,[-(27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []] = 27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []])],extension(3,bind([[_24102], [27 ^ [1 ^ [inverse_image2(41 ^ [], 45 ^ []), inverse_image2(41 ^ [], 44 ^ [])], 44 ^ [], 41 ^ []]]]))).
% 84.22/81.33 %-----------------------------------------------------
% 84.22/81.34
% 84.22/81.34 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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