TSTP Solution File: SET701+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET701+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 02:55:28 EDT 2022
% Result : Theorem 0.83s 1.43s
% Output : Proof 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET701+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n016.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
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 600
% 0.20/0.35 % DateTime : Sat Jul 9 21:25:25 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.83/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.44
% 0.83/1.44 %-----------------------------------------------------
% 0.83/1.44 fof(thI35, conjecture, ! [_37942, _37945, _37948, _37951] : (subset(_37942, _37951) & subset(_37945, _37951) => (subset(_37942, _37945) <=> subset(intersection(_37942, difference(_37951, _37945)), intersection(_37948, difference(_37951, _37948))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI35)).
% 0.83/1.44 fof(subset, axiom, ! [_38322, _38325] : (subset(_38322, _38325) <=> ! [_38343] : (member(_38343, _38322) => member(_38343, _38325))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 0.83/1.44 fof(intersection, axiom, ! [_38555, _38558, _38561] : (member(_38555, intersection(_38558, _38561)) <=> member(_38555, _38558) & member(_38555, _38561)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.83/1.44 fof(difference, axiom, ! [_38785, _38788, _38791] : (member(_38785, difference(_38791, _38788)) <=> member(_38785, _38791) & ~ member(_38785, _38788)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', difference)).
% 0.83/1.44
% 0.83/1.44 cnf(1, plain, [-(9 ^ []), subset(4 ^ [], 5 ^ [])], clausify(thI35)).
% 0.83/1.44 cnf(2, plain, [-(9 ^ []), -(subset(intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(6 ^ [], difference(7 ^ [], 6 ^ []))))], clausify(thI35)).
% 0.83/1.44 cnf(3, plain, [-(8 ^ []), subset(intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(6 ^ [], difference(7 ^ [], 6 ^ [])))], clausify(thI35)).
% 0.83/1.44 cnf(4, plain, [-(8 ^ []), -(subset(4 ^ [], 5 ^ []))], clausify(thI35)).
% 0.83/1.44 cnf(5, plain, [-(subset(4 ^ [], 7 ^ []))], clausify(thI35)).
% 0.83/1.44 cnf(6, plain, [8 ^ [], 9 ^ []], clausify(thI35)).
% 0.83/1.44 cnf(7, plain, [-(_8214 = _8214)], theory(equality)).
% 0.83/1.44 cnf(8, plain, [-(member(_9813, _9944)), member(_9746, _9879), _9746 = _9813, _9879 = _9944], theory(equality)).
% 0.83/1.44 cnf(9, plain, [-(subset(_14972, _15028)), -(member(1 ^ [_15028, _14972], _14972))], clausify(subset)).
% 0.83/1.44 cnf(10, plain, [-(subset(_14972, _15028)), member(1 ^ [_15028, _14972], _15028)], clausify(subset)).
% 0.83/1.44 cnf(11, plain, [subset(_14972, _15028), member(_15142, _14972), -(member(_15142, _15028))], clausify(subset)).
% 0.83/1.44 cnf(12, plain, [member(_16159, intersection(_16218, _16276)), -(member(_16159, _16218))], clausify(intersection)).
% 0.83/1.44 cnf(13, plain, [member(_16159, intersection(_16218, _16276)), -(member(_16159, _16276))], clausify(intersection)).
% 0.83/1.44 cnf(14, plain, [-(member(_16159, intersection(_16218, _16276))), member(_16159, _16218), member(_16159, _16276)], clausify(intersection)).
% 0.83/1.44 cnf(15, plain, [member(_17377, difference(_17498, _17438)), member(_17377, _17438)], clausify(difference)).
% 0.83/1.44 cnf(16, plain, [-(member(_17377, difference(_17498, _17438))), member(_17377, _17498), -(member(_17377, _17438))], clausify(difference)).
% 0.83/1.44
% 0.83/1.44 cnf('1',plain,[8 ^ [], 9 ^ []],start(6)).
% 0.83/1.44 cnf('1.1',plain,[-(8 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(4)).
% 0.83/1.44 cnf('1.1.1',plain,[subset(4 ^ [], 5 ^ []), member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], 4 ^ []), -(member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], 5 ^ []))],extension(11,bind([[_14972, _15142, _15028], [4 ^ [], 1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], 5 ^ []]]))).
% 0.83/1.44 cnf('1.1.1.1',plain,[-(member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], 4 ^ [])), member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], intersection(4 ^ [], difference(7 ^ [], 5 ^ [])))],extension(12,bind([[_16159, _16218, _16276], [1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], 4 ^ [], difference(7 ^ [], 5 ^ [])]]))).
% 0.83/1.44 cnf('1.1.1.1.1',plain,[-(member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], intersection(4 ^ [], difference(7 ^ [], 5 ^ [])))), member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], intersection(4 ^ [], difference(7 ^ [], 5 ^ []))), 1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))] = 1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], intersection(4 ^ [], difference(7 ^ [], 5 ^ [])) = intersection(4 ^ [], difference(7 ^ [], 5 ^ []))],extension(8,bind([[_9746, _9813, _9879, _9944], [1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], 1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))]]))).
% 0.83/1.44 cnf('1.1.1.1.1.1',plain,[-(member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], intersection(4 ^ [], difference(7 ^ [], 5 ^ [])))), -(subset(intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(6 ^ [], difference(7 ^ [], 6 ^ []))))],extension(9,bind([[_14972, _15028], [intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(6 ^ [], difference(7 ^ [], 6 ^ []))]]))).
% 0.83/1.44 cnf('1.1.1.1.1.1.1',plain,[subset(intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(6 ^ [], difference(7 ^ [], 6 ^ []))), -(8 ^ [])],extension(3)).
% 0.83/1.44 cnf('1.1.1.1.1.1.1.1',plain,[8 ^ []],reduction('1')).
% 0.83/1.44 cnf('1.1.1.1.1.2',plain,[-(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))] = 1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))])],extension(7,bind([[_8214], [1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))]]]))).
% 0.83/1.44 cnf('1.1.1.1.1.3',plain,[-(intersection(4 ^ [], difference(7 ^ [], 5 ^ [])) = intersection(4 ^ [], difference(7 ^ [], 5 ^ [])))],extension(7,bind([[_8214], [intersection(4 ^ [], difference(7 ^ [], 5 ^ []))]]))).
% 0.83/1.44 cnf('1.1.1.2',plain,[member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], 5 ^ []), member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], difference(7 ^ [], 5 ^ []))],extension(15,bind([[_17377, _17498, _17438], [1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], 7 ^ [], 5 ^ []]]))).
% 0.83/1.44 cnf('1.1.1.2.1',plain,[-(member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], difference(7 ^ [], 5 ^ []))), member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], intersection(4 ^ [], difference(7 ^ [], 5 ^ [])))],extension(13,bind([[_16159, _16218, _16276], [1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], 4 ^ [], difference(7 ^ [], 5 ^ [])]]))).
% 0.83/1.44 cnf('1.1.1.2.1.1',plain,[-(member(1 ^ [intersection(6 ^ [], difference(7 ^ [], 6 ^ [])), intersection(4 ^ [], difference(7 ^ [], 5 ^ []))], intersection(4 ^ [], difference(7 ^ [], 5 ^ [])))), -(subset(intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(6 ^ [], difference(7 ^ [], 6 ^ []))))],extension(9,bind([[_14972, _15028], [intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(6 ^ [], difference(7 ^ [], 6 ^ []))]]))).
% 0.83/1.44 cnf('1.1.1.2.1.1.1',plain,[subset(intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(6 ^ [], difference(7 ^ [], 6 ^ []))), -(8 ^ [])],extension(3)).
% 0.83/1.44 cnf('1.1.1.2.1.1.1.1',plain,[8 ^ []],reduction('1')).
% 0.83/1.44 cnf('1.2',plain,[-(9 ^ []), -(subset(intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(6 ^ [], difference(7 ^ [], 6 ^ []))))],extension(2)).
% 0.83/1.44 cnf('1.2.1',plain,[subset(intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), intersection(6 ^ [], difference(7 ^ [], 6 ^ []))), member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], difference(7 ^ [], 5 ^ []))), -(member(1 ^ [5 ^ [], 4 ^ []], intersection(6 ^ [], difference(7 ^ [], 6 ^ []))))],extension(11,bind([[_14972, _15142, _15028], [intersection(4 ^ [], difference(7 ^ [], 5 ^ [])), 1 ^ [5 ^ [], 4 ^ []], intersection(6 ^ [], difference(7 ^ [], 6 ^ []))]]))).
% 0.83/1.44 cnf('1.2.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], difference(7 ^ [], 5 ^ [])))), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), member(1 ^ [5 ^ [], 4 ^ []], difference(7 ^ [], 5 ^ []))],extension(14,bind([[_16218, _16159, _16276], [4 ^ [], 1 ^ [5 ^ [], 4 ^ []], difference(7 ^ [], 5 ^ [])]]))).
% 0.83/1.44 cnf('1.2.1.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), 1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []], 4 ^ [] = 4 ^ []],extension(8,bind([[_9746, _9813, _9879, _9944], [1 ^ [5 ^ [], 4 ^ []], 1 ^ [5 ^ [], 4 ^ []], 4 ^ [], 4 ^ []]]))).
% 0.83/1.44 cnf('1.2.1.1.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(subset(4 ^ [], 5 ^ []))],extension(9,bind([[_14972, _15028], [4 ^ [], 5 ^ []]]))).
% 0.83/1.44 cnf('1.2.1.1.1.1.1',plain,[subset(4 ^ [], 5 ^ []), -(9 ^ [])],extension(1)).
% 0.83/1.44 cnf('1.2.1.1.1.1.1.1',plain,[9 ^ []],reduction('1')).
% 0.83/1.44 cnf('1.2.1.1.1.2',plain,[-(1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []])],extension(7,bind([[_8214], [1 ^ [5 ^ [], 4 ^ []]]]))).
% 0.83/1.44 cnf('1.2.1.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(7,bind([[_8214], [4 ^ []]]))).
% 0.83/1.44 cnf('1.2.1.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], difference(7 ^ [], 5 ^ []))), member(1 ^ [5 ^ [], 4 ^ []], 7 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(16,bind([[_17498, _17377, _17438], [7 ^ [], 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.83/1.44 cnf('1.2.1.1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 7 ^ [])), subset(4 ^ [], 7 ^ []), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(11,bind([[_15028, _15142, _14972], [7 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 0.83/1.44 cnf('1.2.1.1.2.1.1',plain,[-(subset(4 ^ [], 7 ^ []))],extension(5)).
% 0.83/1.44 cnf('1.2.1.1.2.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],lemmata('1.2.1.1')).
% 0.83/1.44 cnf('1.2.1.1.2.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(10,bind([[_14972, _15028], [4 ^ [], 5 ^ []]]))).
% 0.83/1.44 cnf('1.2.1.1.2.2.1',plain,[subset(4 ^ [], 5 ^ []), -(9 ^ [])],extension(1)).
% 0.83/1.44 cnf('1.2.1.1.2.2.1.1',plain,[9 ^ []],reduction('1')).
% 0.83/1.44 cnf('1.2.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], intersection(6 ^ [], difference(7 ^ [], 6 ^ []))), -(member(1 ^ [5 ^ [], 4 ^ []], 6 ^ []))],extension(12,bind([[_16276, _16159, _16218], [difference(7 ^ [], 6 ^ []), 1 ^ [5 ^ [], 4 ^ []], 6 ^ []]]))).
% 0.83/1.44 cnf('1.2.1.2.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], 6 ^ []), member(1 ^ [5 ^ [], 4 ^ []], difference(7 ^ [], 6 ^ []))],extension(15,bind([[_17377, _17498, _17438], [1 ^ [5 ^ [], 4 ^ []], 7 ^ [], 6 ^ []]]))).
% 0.83/1.44 cnf('1.2.1.2.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], difference(7 ^ [], 6 ^ []))), member(1 ^ [5 ^ [], 4 ^ []], intersection(6 ^ [], difference(7 ^ [], 6 ^ [])))],extension(13,bind([[_16159, _16218, _16276], [1 ^ [5 ^ [], 4 ^ []], 6 ^ [], difference(7 ^ [], 6 ^ [])]]))).
% 0.83/1.44 cnf('1.2.1.2.1.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], intersection(6 ^ [], difference(7 ^ [], 6 ^ []))))],reduction('1.2.1')).
% 0.83/1.44 %-----------------------------------------------------
% 0.83/1.45
% 0.83/1.45 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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