TSTP Solution File: SET703+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET703+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 02:55:29 EDT 2022
% Result : Theorem 6.81s 7.69s
% Output : Proof 6.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SET703+4 : TPTP v8.1.0. Released v2.2.0.
% 0.05/0.15 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 05:34:18 EDT 2022
% 0.14/0.36 % CPUTime :
% 6.81/7.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.81/7.70 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.81/7.71
% 6.81/7.71 %-----------------------------------------------------
% 6.81/7.71 fof(thI41, conjecture, ! [_36389, _36392] : equal_set(union(singleton(_36389), singleton(_36392)), unordered_pair(_36389, _36392)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI41)).
% 6.81/7.71 fof(subset, axiom, ! [_36571, _36574] : (subset(_36571, _36574) <=> ! [_36592] : (member(_36592, _36571) => member(_36592, _36574))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 6.81/7.71 fof(equal_set, axiom, ! [_36790, _36793] : (equal_set(_36790, _36793) <=> subset(_36790, _36793) & subset(_36793, _36790)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 6.81/7.71 fof(intersection, axiom, ! [_36967, _36970, _36973] : (member(_36967, intersection(_36970, _36973)) <=> member(_36967, _36970) & member(_36967, _36973)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 6.81/7.71 fof(union, axiom, ! [_37180, _37183, _37186] : (member(_37180, union(_37183, _37186)) <=> member(_37180, _37183) | member(_37180, _37186)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', union)).
% 6.81/7.71 fof(singleton, axiom, ! [_37409, _37412] : (member(_37409, singleton(_37412)) <=> _37409 = _37412), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', singleton)).
% 6.81/7.71 fof(unordered_pair, axiom, ! [_37572, _37575, _37578] : (member(_37572, unordered_pair(_37575, _37578)) <=> _37572 = _37575 | _37572 = _37578), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', unordered_pair)).
% 6.81/7.71
% 6.81/7.71 cnf(1, plain, [equal_set(union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ []))], clausify(thI41)).
% 6.81/7.71 cnf(2, plain, [-(subset(_14713, _14769)), -(member(1 ^ [_14769, _14713], _14713))], clausify(subset)).
% 6.81/7.71 cnf(3, plain, [-(subset(_14713, _14769)), member(1 ^ [_14769, _14713], _14769)], clausify(subset)).
% 6.81/7.71 cnf(4, plain, [-(equal_set(_15174, _15225)), subset(_15174, _15225), subset(_15225, _15174)], clausify(equal_set)).
% 6.81/7.71 cnf(5, plain, [member(_15900, intersection(_15959, _16017)), -(member(_15900, _16017))], clausify(intersection)).
% 6.81/7.71 cnf(6, plain, [-(member(_15900, intersection(_15959, _16017))), member(_15900, _15959), member(_15900, _16017)], clausify(intersection)).
% 6.81/7.71 cnf(7, plain, [-(member(_16413, union(_16472, _16530))), member(_16413, _16472)], clausify(union)).
% 6.81/7.71 cnf(8, plain, [-(member(_16413, union(_16472, _16530))), member(_16413, _16530)], clausify(union)).
% 6.81/7.71 cnf(9, plain, [member(_16413, union(_16472, _16530)), -(member(_16413, _16472)), -(member(_16413, _16530))], clausify(union)).
% 6.81/7.71 cnf(10, plain, [member(_17653, singleton(_17700)), -(_17653 = _17700)], clausify(singleton)).
% 6.81/7.71 cnf(11, plain, [-(member(_17653, singleton(_17700))), _17653 = _17700], clausify(singleton)).
% 6.81/7.71 cnf(12, plain, [-(member(_17983, unordered_pair(_18042, _18100))), _17983 = _18042], clausify(unordered_pair)).
% 6.81/7.71 cnf(13, plain, [-(member(_17983, unordered_pair(_18042, _18100))), _17983 = _18100], clausify(unordered_pair)).
% 6.81/7.71 cnf(14, plain, [member(_17983, unordered_pair(_18042, _18100)), -(_17983 = _18042), -(_17983 = _18100)], clausify(unordered_pair)).
% 6.81/7.71
% 6.81/7.71 cnf('1',plain,[equal_set(union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ []))],start(1)).
% 6.81/7.71 cnf('1.1',plain,[-(equal_set(union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ []))), subset(union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])), subset(unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ [])))],extension(4,bind([[_15225, _15174], [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))]]))).
% 6.81/7.71 cnf('1.1.1',plain,[-(subset(union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ []))), -(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], union(singleton(4 ^ []), singleton(5 ^ []))))],extension(2,bind([[_14769, _14713], [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))]]))).
% 6.81/7.71 cnf('1.1.1.1',plain,[member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], union(singleton(4 ^ []), singleton(5 ^ []))), -(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], singleton(4 ^ []))), -(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], singleton(5 ^ [])))],extension(9,bind([[_16472, _16413, _16530], [singleton(4 ^ []), 1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], singleton(5 ^ [])]]))).
% 6.81/7.71 cnf('1.1.1.1.1',plain,[member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], singleton(4 ^ [])), -(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], intersection(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])))), member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ []))],extension(6,bind([[_15959, _15900, _16017], [singleton(4 ^ []), 1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 6.81/7.71 cnf('1.1.1.1.1.1',plain,[member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], intersection(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ []))), -(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ [])))],extension(5,bind([[_15959, _15900, _16017], [singleton(4 ^ []), 1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 6.81/7.71 cnf('1.1.1.1.1.1.1',plain,[member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ [])), -(subset(union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])))],extension(3,bind([[_14713, _14769], [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])]]))).
% 6.81/7.71 cnf('1.1.1.1.1.1.1.1',plain,[subset(union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ []))],reduction('1.1')).
% 6.81/7.71 cnf('1.1.1.1.1.2',plain,[-(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ []))), 1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))] = 4 ^ []],extension(12,bind([[_18100, _17983, _18042], [5 ^ [], 1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], 4 ^ []]]))).
% 6.81/7.71 cnf('1.1.1.1.1.2.1',plain,[-(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))] = 4 ^ []), member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], singleton(4 ^ []))],extension(10,bind([[_17653, _17700], [1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], 4 ^ []]]))).
% 6.81/7.71 cnf('1.1.1.1.1.2.1.1',plain,[-(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], singleton(4 ^ [])))],reduction('1.1.1.1')).
% 6.81/7.71 cnf('1.1.1.1.2',plain,[member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], singleton(5 ^ [])), -(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], intersection(singleton(5 ^ []), unordered_pair(4 ^ [], 5 ^ [])))), member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ []))],extension(6,bind([[_15959, _15900, _16017], [singleton(5 ^ []), 1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 6.81/7.71 cnf('1.1.1.1.2.1',plain,[member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], intersection(singleton(5 ^ []), unordered_pair(4 ^ [], 5 ^ []))), -(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ [])))],extension(5,bind([[_15959, _15900, _16017], [singleton(5 ^ []), 1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 6.81/7.71 cnf('1.1.1.1.2.1.1',plain,[member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ [])), -(subset(union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])))],extension(3,bind([[_14713, _14769], [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])]]))).
% 6.81/7.71 cnf('1.1.1.1.2.1.1.1',plain,[subset(union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ []))],reduction('1.1')).
% 6.81/7.71 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], unordered_pair(4 ^ [], 5 ^ []))), 1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))] = 5 ^ []],extension(13,bind([[_18042, _17983, _18100], [4 ^ [], 1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], 5 ^ []]]))).
% 6.81/7.71 cnf('1.1.1.1.2.2.1',plain,[-(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))] = 5 ^ []), member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], singleton(5 ^ []))],extension(10,bind([[_17653, _17700], [1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], 5 ^ []]]))).
% 6.81/7.71 cnf('1.1.1.1.2.2.1.1',plain,[-(member(1 ^ [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))], singleton(5 ^ [])))],reduction('1.1.1.1')).
% 6.81/7.71 cnf('1.1.2',plain,[-(subset(unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ [])))), -(member(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], unordered_pair(4 ^ [], 5 ^ [])))],extension(2,bind([[_14769, _14713], [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])]]))).
% 6.81/7.71 cnf('1.1.2.1',plain,[member(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], unordered_pair(4 ^ [], 5 ^ [])), -(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])] = 4 ^ []), -(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])] = 5 ^ [])],extension(14,bind([[_18042, _17983, _18100], [4 ^ [], 1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], 5 ^ []]]))).
% 6.81/7.71 cnf('1.1.2.1.1',plain,[1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])] = 4 ^ [], -(member(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], singleton(4 ^ [])))],extension(11,bind([[_17653, _17700], [1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], 4 ^ []]]))).
% 6.81/7.71 cnf('1.1.2.1.1.1',plain,[member(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], singleton(4 ^ [])), -(member(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], union(singleton(4 ^ []), singleton(5 ^ []))))],extension(7,bind([[_16413, _16472, _16530], [1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], singleton(4 ^ []), singleton(5 ^ [])]]))).
% 6.81/7.71 cnf('1.1.2.1.1.1.1',plain,[member(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], union(singleton(4 ^ []), singleton(5 ^ []))), -(subset(unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))))],extension(3,bind([[_14713, _14769], [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))]]))).
% 6.81/7.71 cnf('1.1.2.1.1.1.1.1',plain,[subset(unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ [])))],reduction('1.1')).
% 6.81/7.71 cnf('1.1.2.1.2',plain,[1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])] = 5 ^ [], -(member(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], singleton(5 ^ [])))],extension(11,bind([[_17653, _17700], [1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], 5 ^ []]]))).
% 6.81/7.71 cnf('1.1.2.1.2.1',plain,[member(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], singleton(5 ^ [])), -(member(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], union(singleton(4 ^ []), singleton(5 ^ []))))],extension(8,bind([[_16413, _16472, _16530], [1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], singleton(4 ^ []), singleton(5 ^ [])]]))).
% 6.81/7.71 cnf('1.1.2.1.2.1.1',plain,[member(1 ^ [union(singleton(4 ^ []), singleton(5 ^ [])), unordered_pair(4 ^ [], 5 ^ [])], union(singleton(4 ^ []), singleton(5 ^ []))), -(subset(unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))))],extension(3,bind([[_14713, _14769], [unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ []))]]))).
% 6.81/7.71 cnf('1.1.2.1.2.1.1.1',plain,[subset(unordered_pair(4 ^ [], 5 ^ []), union(singleton(4 ^ []), singleton(5 ^ [])))],reduction('1.1')).
% 6.81/7.71 %-----------------------------------------------------
% 6.81/7.72
% 6.81/7.72 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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