TSTP Solution File: SET584+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET584+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 02:54:23 EDT 2022
% Result : Theorem 0.36s 1.41s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET584+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 03:02:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.42
% 0.36/1.42 %-----------------------------------------------------
% 0.36/1.42 fof(prove_th33, conjecture, ! [_17835, _17838, _17841] : (subset(_17835, _17838) => subset(union(_17835, _17841), union(_17838, _17841))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th33)).
% 0.36/1.42 fof(union_defn, axiom, ! [_18063, _18066, _18069] : (member(_18069, union(_18063, _18066)) <=> member(_18069, _18063) | member(_18069, _18066)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.36/1.42 fof(subset_defn, axiom, ! [_18277, _18280] : (subset(_18277, _18280) <=> ! [_18298] : (member(_18298, _18277) => member(_18298, _18280))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.36/1.42 fof(commutativity_of_union, axiom, ! [_18505, _18508] : union(_18505, _18508) = union(_18508, _18505), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_of_union)).
% 0.36/1.42
% 0.36/1.42 cnf(1, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(prove_th33)).
% 0.36/1.42 cnf(2, plain, [subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []))], clausify(prove_th33)).
% 0.36/1.42 cnf(3, plain, [-(_4849 = _4849)], theory(equality)).
% 0.36/1.42 cnf(4, plain, [-(member(_5824, _5955)), member(_5757, _5890), _5757 = _5824, _5890 = _5955], theory(equality)).
% 0.36/1.42 cnf(5, plain, [-(member(_7792, union(_7675, _7734))), member(_7792, _7675)], clausify(union_defn)).
% 0.36/1.42 cnf(6, plain, [member(_7792, union(_7675, _7734)), -(member(_7792, _7675)), -(member(_7792, _7734))], clausify(union_defn)).
% 0.36/1.42 cnf(7, plain, [-(subset(_8188, _8244)), -(member(1 ^ [_8244, _8188], _8188))], clausify(subset_defn)).
% 0.36/1.42 cnf(8, plain, [-(subset(_8188, _8244)), member(1 ^ [_8244, _8188], _8244)], clausify(subset_defn)).
% 0.36/1.42 cnf(9, plain, [subset(_8188, _8244), member(_8358, _8188), -(member(_8358, _8244))], clausify(subset_defn)).
% 0.36/1.42 cnf(10, plain, [-(union(_8649, _8694) = union(_8694, _8649))], clausify(commutativity_of_union)).
% 0.36/1.42
% 0.36/1.42 cnf('1',plain,[subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []))],start(2)).
% 0.36/1.42 cnf('1.1',plain,[-(subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []))), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], union(3 ^ [], 5 ^ [])))],extension(7,bind([[_8244, _8188], [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])]]))).
% 0.36/1.42 cnf('1.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], union(3 ^ [], 5 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 3 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 5 ^ []))],extension(6,bind([[_7675, _7792, _7734], [3 ^ [], 1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.36/1.42 cnf('1.1.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 3 ^ []), subset(3 ^ [], 4 ^ []), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 4 ^ []))],extension(9,bind([[_8188, _8358, _8244], [3 ^ [], 1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 4 ^ []]]))).
% 0.36/1.42 cnf('1.1.1.1.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(1)).
% 0.36/1.42 cnf('1.1.1.1.2',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 4 ^ []), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ [])))],extension(5,bind([[_7792, _7675, _7734], [1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 4 ^ [], 5 ^ []]]))).
% 0.36/1.42 cnf('1.1.1.1.2.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ [])), -(subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 5 ^ [])))],extension(8,bind([[_8188, _8244], [union(3 ^ [], 5 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 0.36/1.42 cnf('1.1.1.1.2.1.1',plain,[subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []))],extension(2)).
% 0.36/1.42 cnf('1.1.1.2',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 5 ^ []), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], union(5 ^ [], 4 ^ [])))],extension(5,bind([[_7792, _7675, _7734], [1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 5 ^ [], 4 ^ []]]))).
% 0.36/1.42 cnf('1.1.1.2.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], union(5 ^ [], 4 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ []))), 1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])] = 1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], union(5 ^ [], 4 ^ []) = union(4 ^ [], 5 ^ [])],extension(4,bind([[_5757, _5824, _5890, _5955], [1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], 1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 0.36/1.42 cnf('1.1.1.2.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ [])), -(subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 5 ^ [])))],extension(8,bind([[_8188, _8244], [union(3 ^ [], 5 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 0.36/1.42 cnf('1.1.1.2.1.1.1',plain,[subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 5 ^ []))],extension(2)).
% 0.36/1.42 cnf('1.1.1.2.1.2',plain,[-(1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])] = 1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])])],extension(3,bind([[_4849], [1 ^ [union(4 ^ [], 5 ^ []), union(3 ^ [], 5 ^ [])]]]))).
% 0.36/1.42 cnf('1.1.1.2.1.3',plain,[-(union(5 ^ [], 4 ^ []) = union(4 ^ [], 5 ^ []))],extension(10,bind([[_8694, _8649], [4 ^ [], 5 ^ []]]))).
% 0.36/1.42 %-----------------------------------------------------
% 0.36/1.42
% 0.36/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------