TSTP Solution File: SEU145+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU145+1 : TPTP v8.1.0. Released v3.3.0.
% 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 12:00:26 EDT 2022
% Result : Theorem 0.32s 1.39s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU145+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n026.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 : Sun Jun 19 08:13:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41 fof(l3_zfmisc_1, conjecture, ! [_22366, _22369, _22372] : (subset(_22366, _22369) => in(_22372, _22366) | subset(_22366, set_difference(_22369, singleton(_22372)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l3_zfmisc_1)).
% 0.32/1.41 fof(d1_tarski, axiom, ! [_22639, _22642] : (_22642 = singleton(_22639) <=> ! [_22660] : (in(_22660, _22642) <=> _22660 = _22639)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.32/1.41 fof(d3_tarski, axiom, ! [_22847, _22850] : (subset(_22847, _22850) <=> ! [_22868] : (in(_22868, _22847) => in(_22868, _22850))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.32/1.41 fof(d4_xboole_0, axiom, ! [_23078, _23081, _23084] : (_23084 = set_difference(_23078, _23081) <=> ! [_23105] : (in(_23105, _23084) <=> in(_23105, _23078) & ~ in(_23105, _23081))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.32/1.41
% 0.32/1.41 cnf(1, plain, [-(subset(4 ^ [], 5 ^ []))], clausify(l3_zfmisc_1)).
% 0.32/1.41 cnf(2, plain, [in(6 ^ [], 4 ^ [])], clausify(l3_zfmisc_1)).
% 0.32/1.41 cnf(3, plain, [subset(4 ^ [], set_difference(5 ^ [], singleton(6 ^ [])))], clausify(l3_zfmisc_1)).
% 0.32/1.41 cnf(4, plain, [_8176 = _8225, -(singleton(_8176) = singleton(_8225))], theory(equality)).
% 0.32/1.41 cnf(5, plain, [-(_5386 = _5386)], theory(equality)).
% 0.32/1.41 cnf(6, plain, [-(in(_6361, _6492)), in(_6294, _6427), _6294 = _6361, _6427 = _6492], theory(equality)).
% 0.32/1.41 cnf(7, plain, [_8944 = singleton(_8886), in(_9076, _8944), -(_9076 = _8886)], clausify(d1_tarski)).
% 0.32/1.41 cnf(8, plain, [-(subset(_9367, _9423)), -(in(2 ^ [_9423, _9367], _9367))], clausify(d3_tarski)).
% 0.32/1.41 cnf(9, plain, [-(subset(_9367, _9423)), in(2 ^ [_9423, _9367], _9423)], clausify(d3_tarski)).
% 0.32/1.41 cnf(10, plain, [subset(_9367, _9423), in(_9537, _9367), -(in(_9537, _9423))], clausify(d3_tarski)).
% 0.32/1.41 cnf(11, plain, [_9971 = set_difference(_9828, _9900), -(in(_10137, _9971)), in(_10137, _9828), -(in(_10137, _9900))], clausify(d4_xboole_0)).
% 0.32/1.41
% 0.32/1.41 cnf('1',plain,[in(6 ^ [], 4 ^ [])],start(2)).
% 0.32/1.41 cnf('1.1',plain,[-(in(6 ^ [], 4 ^ [])), in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ []), 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []] = 6 ^ [], 4 ^ [] = 4 ^ []],extension(6,bind([[_6294, _6361, _6427, _6492], [2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 6 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.32/1.41 cnf('1.1.1',plain,[-(in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ [])), in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ []), 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []] = 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ [] = 4 ^ []],extension(6,bind([[_6294, _6361, _6427, _6492], [2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ [], 4 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1',plain,[-(in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ [])), in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ []), 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []] = 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ [] = 4 ^ []],extension(6,bind([[_6294, _6361, _6427, _6492], [2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ [], 4 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1.1',plain,[-(in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ [])), -(subset(4 ^ [], set_difference(5 ^ [], singleton(6 ^ []))))],extension(8,bind([[_9367, _9423], [4 ^ [], set_difference(5 ^ [], singleton(6 ^ []))]]))).
% 0.32/1.41 cnf('1.1.1.1.1.1',plain,[subset(4 ^ [], set_difference(5 ^ [], singleton(6 ^ [])))],extension(3)).
% 0.32/1.41 cnf('1.1.1.1.2',plain,[-(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []] = 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []])],extension(5,bind([[_5386], [2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []]]]))).
% 0.32/1.41 cnf('1.1.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(5,bind([[_5386], [4 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.2',plain,[-(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []] = 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []])],extension(5,bind([[_5386], [2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []]]]))).
% 0.32/1.41 cnf('1.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(5,bind([[_5386], [4 ^ []]]))).
% 0.32/1.41 cnf('1.1.2',plain,[-(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []] = 6 ^ []), singleton(6 ^ []) = singleton(6 ^ []), in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], singleton(6 ^ []))],extension(7,bind([[_8886, _9076, _8944], [6 ^ [], 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], singleton(6 ^ [])]]))).
% 0.32/1.41 cnf('1.1.2.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ [])), 6 ^ [] = 6 ^ []],extension(4,bind([[_8176, _8225], [6 ^ [], 6 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(5,bind([[_5386], [6 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.2',plain,[-(in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], singleton(6 ^ []))), set_difference(5 ^ [], singleton(6 ^ [])) = set_difference(5 ^ [], singleton(6 ^ [])), -(in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], set_difference(5 ^ [], singleton(6 ^ [])))), in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 5 ^ [])],extension(11,bind([[_9900, _9971, _10137, _9828], [singleton(6 ^ []), set_difference(5 ^ [], singleton(6 ^ [])), 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 5 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.2.1',plain,[-(set_difference(5 ^ [], singleton(6 ^ [])) = set_difference(5 ^ [], singleton(6 ^ [])))],extension(5,bind([[_5386], [set_difference(5 ^ [], singleton(6 ^ []))]]))).
% 0.32/1.41 cnf('1.1.2.2.2',plain,[in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], set_difference(5 ^ [], singleton(6 ^ []))), -(subset(4 ^ [], set_difference(5 ^ [], singleton(6 ^ []))))],extension(9,bind([[_9367, _9423], [4 ^ [], set_difference(5 ^ [], singleton(6 ^ []))]]))).
% 0.32/1.41 cnf('1.1.2.2.2.1',plain,[subset(4 ^ [], set_difference(5 ^ [], singleton(6 ^ [])))],extension(3)).
% 0.32/1.41 cnf('1.1.2.2.3',plain,[-(in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 5 ^ [])), subset(4 ^ [], 5 ^ []), in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ [])],extension(10,bind([[_9423, _9537, _9367], [5 ^ [], 2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.2.3.1',plain,[-(subset(4 ^ [], 5 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.1.2.2.3.2',plain,[-(in(2 ^ [set_difference(5 ^ [], singleton(6 ^ [])), 4 ^ []], 4 ^ []))],lemmata('1.1')).
% 0.32/1.41 cnf('1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(5,bind([[_5386], [4 ^ []]]))).
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41
% 0.32/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------