TSTP Solution File: SET595+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET595+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 02:54:31 EDT 2022
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET595+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n021.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 Jul 10 12:51:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42 fof(prove_th54, conjecture, ! [_23442, _23445] : (subset(_23442, _23445) => _23445 = union(_23442, difference(_23445, _23442))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th54)).
% 0.35/1.42 fof(member_equal, axiom, ! [_23634, _23637] : (! [_23645] : (member(_23645, _23634) <=> member(_23645, _23637)) => _23634 = _23637), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', member_equal)).
% 0.35/1.42 fof(union_defn, axiom, ! [_23846, _23849, _23852] : (member(_23852, union(_23846, _23849)) <=> member(_23852, _23846) | member(_23852, _23849)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 0.35/1.42 fof(difference_defn, axiom, ! [_24071, _24074, _24077] : (member(_24077, difference(_24071, _24074)) <=> member(_24077, _24071) & ~ member(_24077, _24074)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 0.35/1.42 fof(subset_defn, axiom, ! [_24294, _24297] : (subset(_24294, _24297) <=> ! [_24315] : (member(_24315, _24294) => member(_24315, _24297))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.35/1.42
% 0.35/1.42 cnf(1, plain, [-(subset(4 ^ [], 5 ^ []))], clausify(prove_th54)).
% 0.35/1.42 cnf(2, plain, [5 ^ [] = union(4 ^ [], difference(5 ^ [], 4 ^ []))], clausify(prove_th54)).
% 0.35/1.42 cnf(3, plain, [-(_9557 = _9613), member(1 ^ [_9613, _9557], _9557), member(1 ^ [_9613, _9557], _9613)], clausify(member_equal)).
% 0.35/1.42 cnf(4, plain, [-(_9557 = _9613), -(member(1 ^ [_9613, _9557], _9557)), -(member(1 ^ [_9613, _9557], _9613))], clausify(member_equal)).
% 0.35/1.42 cnf(5, plain, [-(member(_10135, union(_10018, _10077))), member(_10135, _10018)], clausify(union_defn)).
% 0.35/1.42 cnf(6, plain, [-(member(_10135, union(_10018, _10077))), member(_10135, _10077)], clausify(union_defn)).
% 0.35/1.42 cnf(7, plain, [member(_10135, union(_10018, _10077)), -(member(_10135, _10018)), -(member(_10135, _10077))], clausify(union_defn)).
% 0.35/1.42 cnf(8, plain, [member(_10652, difference(_10531, _10592)), -(member(_10652, _10531))], clausify(difference_defn)).
% 0.35/1.42 cnf(9, plain, [-(member(_10652, difference(_10531, _10592))), member(_10652, _10531), -(member(_10652, _10592))], clausify(difference_defn)).
% 0.35/1.42 cnf(10, plain, [subset(_11066, _11122), member(_11236, _11066), -(member(_11236, _11122))], clausify(subset_defn)).
% 0.35/1.42
% 0.35/1.42 cnf('1',plain,[5 ^ [] = union(4 ^ [], difference(5 ^ [], 4 ^ []))],start(2)).
% 0.35/1.42 cnf('1.1',plain,[-(5 ^ [] = union(4 ^ [], difference(5 ^ [], 4 ^ []))), member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 5 ^ []), member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], union(4 ^ [], difference(5 ^ [], 4 ^ [])))],extension(3,bind([[_9557, _9613], [5 ^ [], union(4 ^ [], difference(5 ^ [], 4 ^ []))]]))).
% 0.35/1.42 cnf('1.1.1',plain,[-(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 5 ^ [])), -(5 ^ [] = union(4 ^ [], difference(5 ^ [], 4 ^ []))), -(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], union(4 ^ [], difference(5 ^ [], 4 ^ []))))],extension(4,bind([[_9557, _9613], [5 ^ [], union(4 ^ [], difference(5 ^ [], 4 ^ []))]]))).
% 0.35/1.42 cnf('1.1.1.1',plain,[5 ^ [] = union(4 ^ [], difference(5 ^ [], 4 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.1.1.2',plain,[member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], union(4 ^ [], difference(5 ^ [], 4 ^ []))), -(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 4 ^ [])), -(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], difference(5 ^ [], 4 ^ [])))],extension(7,bind([[_10018, _10135, _10077], [4 ^ [], 1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], difference(5 ^ [], 4 ^ [])]]))).
% 0.35/1.42 cnf('1.1.1.2.1',plain,[member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 4 ^ []), subset(4 ^ [], 5 ^ []), -(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 5 ^ []))],extension(10,bind([[_11066, _11236, _11122], [4 ^ [], 1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 5 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.2.1.1',plain,[-(subset(4 ^ [], 5 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.1.2.1.2',plain,[member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 5 ^ [])],reduction('1.1')).
% 0.35/1.42 cnf('1.1.1.2.2',plain,[member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], difference(5 ^ [], 4 ^ [])), -(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 5 ^ []))],extension(8,bind([[_10592, _10652, _10531], [4 ^ [], 1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 5 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.2.2.1',plain,[member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 5 ^ [])],reduction('1.1')).
% 0.35/1.42 cnf('1.1.2',plain,[-(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], union(4 ^ [], difference(5 ^ [], 4 ^ [])))), -(5 ^ [] = union(4 ^ [], difference(5 ^ [], 4 ^ []))), -(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 5 ^ []))],extension(4,bind([[_9613, _9557], [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1',plain,[5 ^ [] = union(4 ^ [], difference(5 ^ [], 4 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.1.2.2',plain,[member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 5 ^ []), -(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], difference(5 ^ [], 4 ^ []))), -(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 4 ^ []))],extension(9,bind([[_10531, _10652, _10592], [5 ^ [], 1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 4 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2.1',plain,[member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], difference(5 ^ [], 4 ^ [])), -(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], union(4 ^ [], difference(5 ^ [], 4 ^ []))))],extension(6,bind([[_10135, _10018, _10077], [1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 4 ^ [], difference(5 ^ [], 4 ^ [])]]))).
% 0.35/1.42 cnf('1.1.2.2.1.1',plain,[member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], union(4 ^ [], difference(5 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.35/1.42 cnf('1.1.2.2.2',plain,[member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 4 ^ []), -(member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], union(4 ^ [], difference(5 ^ [], 4 ^ []))))],extension(5,bind([[_10135, _10018, _10077], [1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], 4 ^ [], difference(5 ^ [], 4 ^ [])]]))).
% 0.35/1.42 cnf('1.1.2.2.2.1',plain,[member(1 ^ [union(4 ^ [], difference(5 ^ [], 4 ^ [])), 5 ^ []], union(4 ^ [], difference(5 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42
% 0.35/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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