TSTP Solution File: SYN077+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SYN077+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 : Thu Jul 21 08:15:41 EDT 2022
% Result : Theorem 246.54s 237.82s
% Output : Proof 246.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN077+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 04:26:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 246.54/237.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 246.54/237.83 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 246.54/237.83
% 246.54/237.83 %-----------------------------------------------------
% 246.54/237.83 fof(pel54_1, axiom, ! [_26605] : ? [_26613] : ! [_26621] : (big_f(_26621, _26613) <=> _26621 = _26605), file('/export/starexec/sandbox/benchmark/theBenchmark.p', pel54_1)).
% 246.54/237.83 fof(pel54, conjecture, ~ ? [_26798] : ! [_26806] : (big_f(_26806, _26798) <=> ! [_26824] : (big_f(_26806, _26824) => ? [_26842] : (big_f(_26842, _26824) & ~ ? [_26862] : (big_f(_26862, _26824) & big_f(_26862, _26842))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', pel54)).
% 246.54/237.83
% 246.54/237.83 cnf(1, plain, [-(big_f(_6792, 1 ^ [_5290])), _6792 = _5290], clausify(pel54_1)).
% 246.54/237.83 cnf(2, plain, [-(8 ^ [_7037]), -(big_f(_7037, 5 ^ [_7037]))], clausify(pel54)).
% 246.54/237.83 cnf(3, plain, [-(big_f(_7037, 2 ^ [])), 8 ^ [_7037]], clausify(pel54)).
% 246.54/237.83 cnf(4, plain, [-(4 ^ [_7048, _7037]), big_f(_7172, _7048), big_f(_7172, 3 ^ [_7048, _7037])], clausify(pel54)).
% 246.54/237.83 cnf(5, plain, [-(big_f(_4707, _4838)), big_f(_4640, _4773), _4640 = _4707, _4773 = _4838], theory(equality)).
% 246.54/237.83 cnf(6, plain, [-(4 ^ [_7048, _7037]), -(big_f(3 ^ [_7048, _7037], _7048))], clausify(pel54)).
% 246.54/237.83 cnf(7, plain, [big_f(_7037, 2 ^ []), big_f(_7037, _7048), 4 ^ [_7048, _7037]], clausify(pel54)).
% 246.54/237.83 cnf(8, plain, [big_f(_6792, 1 ^ [_5290]), -(_6792 = _5290)], clausify(pel54_1)).
% 246.54/237.83 cnf(9, plain, [-(_3742 = _3742)], theory(equality)).
% 246.54/237.83 cnf(10, plain, [-(7 ^ [_7260, _7037]), -(big_f(6 ^ [_7260, _7037], 5 ^ [_7037]))], clausify(pel54)).
% 246.54/237.83 cnf(11, plain, [-(8 ^ [_7037]), big_f(_7260, 5 ^ [_7037]), 7 ^ [_7260, _7037]], clausify(pel54)).
% 246.54/237.83 cnf(12, plain, [-(7 ^ [_7260, _7037]), -(big_f(6 ^ [_7260, _7037], _7260))], clausify(pel54)).
% 246.54/237.83 cnf(13, plain, [_3895 = _3940, -(_3940 = _3895)], theory(equality)).
% 246.54/237.83
% 246.54/237.83 cnf('1',plain,[big_f(2 ^ [], 2 ^ []), big_f(2 ^ [], 1 ^ [2 ^ []]), 4 ^ [1 ^ [2 ^ []], 2 ^ []]],start(7,bind([[_7048, _7037], [1 ^ [2 ^ []], 2 ^ []]]))).
% 246.54/237.83 cnf('1.1',plain,[-(big_f(2 ^ [], 2 ^ [])), 8 ^ [2 ^ []]],extension(3,bind([[_7037], [2 ^ []]]))).
% 246.54/237.83 cnf('1.1.1',plain,[-(8 ^ [2 ^ []]), -(big_f(2 ^ [], 5 ^ [2 ^ []]))],extension(2,bind([[_7037], [2 ^ []]]))).
% 246.54/237.83 cnf('1.1.1.1',plain,[big_f(2 ^ [], 5 ^ [2 ^ []]), -(8 ^ [2 ^ []]), 7 ^ [2 ^ [], 2 ^ []]],extension(11,bind([[_7260, _7037], [2 ^ [], 2 ^ []]]))).
% 246.54/237.83 cnf('1.1.1.1.1',plain,[8 ^ [2 ^ []]],reduction('1.1')).
% 246.54/237.83 cnf('1.1.1.1.2',plain,[-(7 ^ [2 ^ [], 2 ^ []]), -(big_f(6 ^ [2 ^ [], 2 ^ []], 5 ^ [2 ^ []]))],extension(10,bind([[_7260, _7037], [2 ^ [], 2 ^ []]]))).
% 246.54/237.83 cnf('1.1.1.1.2.1',plain,[big_f(6 ^ [2 ^ [], 2 ^ []], 5 ^ [2 ^ []]), big_f(6 ^ [2 ^ [], 2 ^ []], 2 ^ []), 4 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]],extension(7,bind([[_7048, _7037], [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]]))).
% 246.54/237.83 cnf('1.1.1.1.2.1.1',plain,[-(big_f(6 ^ [2 ^ [], 2 ^ []], 2 ^ [])), -(7 ^ [2 ^ [], 2 ^ []])],extension(12,bind([[_7260, _7037], [2 ^ [], 2 ^ []]]))).
% 246.54/237.83 cnf('1.1.1.1.2.1.1.1',plain,[7 ^ [2 ^ [], 2 ^ []]],reduction('1.1.1.1')).
% 246.54/237.83 cnf('1.1.1.1.2.1.2',plain,[-(4 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]), -(big_f(3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 5 ^ [2 ^ []]))],extension(6,bind([[_7037, _7048], [6 ^ [2 ^ [], 2 ^ []], 5 ^ [2 ^ []]]]))).
% 246.54/237.83 cnf('1.1.1.1.2.1.2.1',plain,[big_f(3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 5 ^ [2 ^ []]), -(8 ^ [2 ^ []]), 7 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]],extension(11,bind([[_7260, _7037], [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]]))).
% 246.54/237.83 cnf('1.1.1.1.2.1.2.1.1',plain,[8 ^ [2 ^ []]],lemmata('1.1.1.1')).
% 246.54/237.83 cnf('1.1.1.1.2.1.2.1.2',plain,[-(7 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]), -(big_f(6 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []], 5 ^ [2 ^ []]))],extension(10,bind([[_7260, _7037], [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]]))).
% 246.54/237.83 cnf('1.1.1.1.2.1.2.1.2.1',plain,[big_f(6 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []], 5 ^ [2 ^ []]), -(4 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]), big_f(6 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []], 3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]])],extension(4,bind([[_7172, _7048, _7037], [6 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []], 5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]]))).
% 246.54/237.83 cnf('1.1.1.1.2.1.2.1.2.1.1',plain,[4 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]],reduction('1.1.1.1.2.1')).
% 246.54/237.83 cnf('1.1.1.1.2.1.2.1.2.1.2',plain,[-(big_f(6 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []], 3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]])), -(7 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []])],extension(12,bind([[_7260, _7037], [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]]))).
% 246.54/237.83 cnf('1.1.1.1.2.1.2.1.2.1.2.1',plain,[7 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]],reduction('1.1.1.1.2.1.2.1')).
% 246.54/237.83 cnf('1.2',plain,[-(big_f(2 ^ [], 1 ^ [2 ^ []])), 2 ^ [] = 2 ^ []],extension(1,bind([[_6792, _5290], [2 ^ [], 2 ^ []]]))).
% 246.54/237.83 cnf('1.2.1',plain,[-(2 ^ [] = 2 ^ [])],extension(9,bind([[_3742], [2 ^ []]]))).
% 246.54/237.83 cnf('1.3',plain,[-(4 ^ [1 ^ [2 ^ []], 2 ^ []]), -(big_f(3 ^ [1 ^ [2 ^ []], 2 ^ []], 1 ^ [2 ^ []]))],extension(6,bind([[_7037, _7048], [2 ^ [], 1 ^ [2 ^ []]]]))).
% 246.54/237.83 cnf('1.3.1',plain,[big_f(3 ^ [1 ^ [2 ^ []], 2 ^ []], 1 ^ [2 ^ []]), -(3 ^ [1 ^ [2 ^ []], 2 ^ []] = 2 ^ [])],extension(8,bind([[_6792, _5290], [3 ^ [1 ^ [2 ^ []], 2 ^ []], 2 ^ []]]))).
% 246.54/237.83 cnf('1.3.1.1',plain,[3 ^ [1 ^ [2 ^ []], 2 ^ []] = 2 ^ [], -(2 ^ [] = 3 ^ [1 ^ [2 ^ []], 2 ^ []])],extension(13,bind([[_3940, _3895], [2 ^ [], 3 ^ [1 ^ [2 ^ []], 2 ^ []]]]))).
% 246.54/237.83 cnf('1.3.1.1.1',plain,[2 ^ [] = 3 ^ [1 ^ [2 ^ []], 2 ^ []], -(big_f(3 ^ [1 ^ [2 ^ []], 2 ^ []], 3 ^ [1 ^ [2 ^ []], 2 ^ []])), big_f(2 ^ [], 2 ^ []), 2 ^ [] = 3 ^ [1 ^ [2 ^ []], 2 ^ []]],extension(5,bind([[_4707, _4640, _4773, _4838], [3 ^ [1 ^ [2 ^ []], 2 ^ []], 2 ^ [], 2 ^ [], 3 ^ [1 ^ [2 ^ []], 2 ^ []]]]))).
% 246.54/237.83 cnf('1.3.1.1.1.1',plain,[big_f(3 ^ [1 ^ [2 ^ []], 2 ^ []], 3 ^ [1 ^ [2 ^ []], 2 ^ []]), -(4 ^ [1 ^ [2 ^ []], 2 ^ []]), big_f(3 ^ [1 ^ [2 ^ []], 2 ^ []], 1 ^ [2 ^ []])],extension(4,bind([[_7037, _7172, _7048], [2 ^ [], 3 ^ [1 ^ [2 ^ []], 2 ^ []], 1 ^ [2 ^ []]]]))).
% 246.54/237.83 cnf('1.3.1.1.1.1.1',plain,[4 ^ [1 ^ [2 ^ []], 2 ^ []]],reduction('1')).
% 246.54/237.83 cnf('1.3.1.1.1.1.2',plain,[-(big_f(3 ^ [1 ^ [2 ^ []], 2 ^ []], 1 ^ [2 ^ []]))],reduction('1.3')).
% 246.54/237.83 cnf('1.3.1.1.1.2',plain,[-(big_f(2 ^ [], 2 ^ [])), 8 ^ [2 ^ []]],extension(3,bind([[_7037], [2 ^ []]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1',plain,[-(8 ^ [2 ^ []]), big_f(2 ^ [], 5 ^ [2 ^ []]), 7 ^ [2 ^ [], 2 ^ []]],extension(11,bind([[_7260, _7037], [2 ^ [], 2 ^ []]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.1',plain,[-(big_f(2 ^ [], 5 ^ [2 ^ []])), -(8 ^ [2 ^ []])],extension(2,bind([[_7037], [2 ^ []]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.1.1',plain,[8 ^ [2 ^ []]],reduction('1.3.1.1.1.2')).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2',plain,[-(7 ^ [2 ^ [], 2 ^ []]), -(big_f(6 ^ [2 ^ [], 2 ^ []], 5 ^ [2 ^ []]))],extension(10,bind([[_7260, _7037], [2 ^ [], 2 ^ []]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1',plain,[big_f(6 ^ [2 ^ [], 2 ^ []], 5 ^ [2 ^ []]), big_f(6 ^ [2 ^ [], 2 ^ []], 2 ^ []), 4 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]],extension(7,bind([[_7048, _7037], [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1.1',plain,[-(big_f(6 ^ [2 ^ [], 2 ^ []], 2 ^ [])), -(7 ^ [2 ^ [], 2 ^ []])],extension(12,bind([[_7260, _7037], [2 ^ [], 2 ^ []]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1.1.1',plain,[7 ^ [2 ^ [], 2 ^ []]],reduction('1.3.1.1.1.2.1')).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1.2',plain,[-(4 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]), -(big_f(3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 5 ^ [2 ^ []]))],extension(6,bind([[_7037, _7048], [6 ^ [2 ^ [], 2 ^ []], 5 ^ [2 ^ []]]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1.2.1',plain,[big_f(3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 5 ^ [2 ^ []]), -(8 ^ [2 ^ []]), 7 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]],extension(11,bind([[_7260, _7037], [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1.2.1.1',plain,[8 ^ [2 ^ []]],reduction('1.3.1.1.1.2')).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1.2.1.2',plain,[-(7 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]), -(big_f(6 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []], 5 ^ [2 ^ []]))],extension(10,bind([[_7260, _7037], [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1.2.1.2.1',plain,[big_f(6 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []], 5 ^ [2 ^ []]), -(4 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]), big_f(6 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []], 3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]])],extension(4,bind([[_7172, _7048, _7037], [6 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []], 5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1.2.1.2.1.1',plain,[4 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]]],reduction('1.3.1.1.1.2.1.2.1')).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1.2.1.2.1.2',plain,[-(big_f(6 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []], 3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]])), -(7 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []])],extension(12,bind([[_7260, _7037], [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]]))).
% 246.54/237.83 cnf('1.3.1.1.1.2.1.2.1.2.1.2.1.2.1',plain,[7 ^ [3 ^ [5 ^ [2 ^ []], 6 ^ [2 ^ [], 2 ^ []]], 2 ^ []]],reduction('1.3.1.1.1.2.1.2.1.2.1')).
% 246.54/237.83 cnf('1.3.1.1.1.3',plain,[-(2 ^ [] = 3 ^ [1 ^ [2 ^ []], 2 ^ []])],reduction('1.3.1.1')).
% 246.54/237.83 %-----------------------------------------------------
% 246.54/237.84
% 246.54/237.84 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------