TSTP Solution File: SET693+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET693+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 02:55:25 EDT 2022
% Result : Theorem 0.71s 1.40s
% Output : Proof 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET693+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n011.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 : Mon Jul 11 05:49:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/1.41
% 0.71/1.41 %-----------------------------------------------------
% 0.71/1.41 fof(thI20, conjecture, ! [_34772, _34775] : (equal_set(_34772, union(_34772, _34775)) <=> subset(_34775, _34772)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI20)).
% 0.71/1.41 fof(subset, axiom, ! [_34992, _34995] : (subset(_34992, _34995) <=> ! [_35013] : (member(_35013, _34992) => member(_35013, _34995))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.71/1.41 fof(equal_set, axiom, ! [_35221, _35224] : (equal_set(_35221, _35224) <=> subset(_35221, _35224) & subset(_35224, _35221)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.71/1.41 fof(intersection, axiom, ! [_35410, _35413, _35416] : (member(_35410, intersection(_35413, _35416)) <=> member(_35410, _35413) & member(_35410, _35416)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.71/1.41 fof(union, axiom, ! [_35623, _35626, _35629] : (member(_35623, union(_35626, _35629)) <=> member(_35623, _35626) | member(_35623, _35629)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', union)).
% 0.71/1.41
% 0.71/1.41 cnf(1, plain, [-(7 ^ []), equal_set(4 ^ [], union(4 ^ [], 5 ^ []))], clausify(thI20)).
% 0.71/1.41 cnf(2, plain, [-(7 ^ []), -(subset(5 ^ [], 4 ^ []))], clausify(thI20)).
% 0.71/1.41 cnf(3, plain, [-(6 ^ []), subset(5 ^ [], 4 ^ [])], clausify(thI20)).
% 0.71/1.41 cnf(4, plain, [-(6 ^ []), -(equal_set(4 ^ [], union(4 ^ [], 5 ^ [])))], clausify(thI20)).
% 0.71/1.41 cnf(5, plain, [6 ^ [], 7 ^ []], clausify(thI20)).
% 0.71/1.41 cnf(6, plain, [-(subset(_14702, _14758)), -(member(1 ^ [_14758, _14702], _14702))], clausify(subset)).
% 0.71/1.41 cnf(7, plain, [-(subset(_14702, _14758)), member(1 ^ [_14758, _14702], _14758)], clausify(subset)).
% 0.71/1.41 cnf(8, plain, [subset(_14702, _14758), member(_14872, _14702), -(member(_14872, _14758))], clausify(subset)).
% 0.71/1.41 cnf(9, plain, [equal_set(_15163, _15214), -(subset(_15214, _15163))], clausify(equal_set)).
% 0.71/1.41 cnf(10, plain, [-(equal_set(_15163, _15214)), subset(_15163, _15214), subset(_15214, _15163)], clausify(equal_set)).
% 0.71/1.41 cnf(11, plain, [member(_15889, intersection(_15948, _16006)), -(member(_15889, _16006))], clausify(intersection)).
% 0.71/1.41 cnf(12, plain, [-(member(_15889, intersection(_15948, _16006))), member(_15889, _15948), member(_15889, _16006)], clausify(intersection)).
% 0.71/1.41 cnf(13, plain, [-(member(_16402, union(_16461, _16519))), member(_16402, _16461)], clausify(union)).
% 0.71/1.41 cnf(14, plain, [-(member(_16402, union(_16461, _16519))), member(_16402, _16519)], clausify(union)).
% 0.71/1.41 cnf(15, plain, [member(_16402, union(_16461, _16519)), -(member(_16402, _16461)), -(member(_16402, _16519))], clausify(union)).
% 0.71/1.41
% 0.71/1.41 cnf('1',plain,[6 ^ [], 7 ^ []],start(5)).
% 0.71/1.41 cnf('1.1',plain,[-(6 ^ []), subset(5 ^ [], 4 ^ [])],extension(3)).
% 0.71/1.41 cnf('1.1.1',plain,[-(subset(5 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], 5 ^ []], 5 ^ []))],extension(6,bind([[_14758, _14702], [4 ^ [], 5 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], 5 ^ []], 5 ^ []), -(member(1 ^ [4 ^ [], 5 ^ []], intersection(5 ^ [], 4 ^ []))), member(1 ^ [4 ^ [], 5 ^ []], 4 ^ [])],extension(12,bind([[_15948, _15889, _16006], [5 ^ [], 1 ^ [4 ^ [], 5 ^ []], 4 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.1.1',plain,[member(1 ^ [4 ^ [], 5 ^ []], intersection(5 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], 5 ^ []], 4 ^ []))],extension(11,bind([[_15948, _15889, _16006], [5 ^ [], 1 ^ [4 ^ [], 5 ^ []], 4 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.1.1.1',plain,[member(1 ^ [4 ^ [], 5 ^ []], 4 ^ []), -(subset(5 ^ [], 4 ^ []))],extension(7,bind([[_14702, _14758], [5 ^ [], 4 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.1.1.1.1',plain,[subset(5 ^ [], 4 ^ [])],reduction('1.1')).
% 0.71/1.41 cnf('1.1.1.1.2',plain,[-(member(1 ^ [4 ^ [], 5 ^ []], 4 ^ [])), subset(union(4 ^ [], 5 ^ []), 4 ^ []), member(1 ^ [4 ^ [], 5 ^ []], union(4 ^ [], 5 ^ []))],extension(8,bind([[_14758, _14872, _14702], [4 ^ [], 1 ^ [4 ^ [], 5 ^ []], union(4 ^ [], 5 ^ [])]]))).
% 0.71/1.41 cnf('1.1.1.1.2.1',plain,[-(subset(union(4 ^ [], 5 ^ []), 4 ^ [])), equal_set(4 ^ [], union(4 ^ [], 5 ^ []))],extension(9,bind([[_15163, _15214], [4 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.71/1.41 cnf('1.1.1.1.2.1.1',plain,[-(equal_set(4 ^ [], union(4 ^ [], 5 ^ []))), -(6 ^ [])],extension(4)).
% 0.71/1.41 cnf('1.1.1.1.2.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.71/1.41 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [4 ^ [], 5 ^ []], union(4 ^ [], 5 ^ []))), member(1 ^ [4 ^ [], 5 ^ []], 5 ^ [])],extension(14,bind([[_16461, _16402, _16519], [4 ^ [], 1 ^ [4 ^ [], 5 ^ []], 5 ^ []]]))).
% 0.71/1.41 cnf('1.1.1.1.2.2.1',plain,[-(member(1 ^ [4 ^ [], 5 ^ []], 5 ^ []))],reduction('1.1.1')).
% 0.71/1.41 cnf('1.2',plain,[-(7 ^ []), equal_set(4 ^ [], union(4 ^ [], 5 ^ []))],extension(1)).
% 0.71/1.41 cnf('1.2.1',plain,[-(equal_set(4 ^ [], union(4 ^ [], 5 ^ []))), subset(4 ^ [], union(4 ^ [], 5 ^ [])), subset(union(4 ^ [], 5 ^ []), 4 ^ [])],extension(10,bind([[_15214, _15163], [union(4 ^ [], 5 ^ []), 4 ^ []]]))).
% 0.71/1.41 cnf('1.2.1.1',plain,[-(subset(4 ^ [], union(4 ^ [], 5 ^ []))), -(member(1 ^ [union(4 ^ [], 5 ^ []), 4 ^ []], 4 ^ []))],extension(6,bind([[_14758, _14702], [union(4 ^ [], 5 ^ []), 4 ^ []]]))).
% 0.71/1.41 cnf('1.2.1.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 4 ^ []], 4 ^ []), -(member(1 ^ [union(4 ^ [], 5 ^ []), 4 ^ []], union(4 ^ [], 5 ^ [])))],extension(13,bind([[_16402, _16461, _16519], [1 ^ [union(4 ^ [], 5 ^ []), 4 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.71/1.41 cnf('1.2.1.1.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 4 ^ []], union(4 ^ [], 5 ^ [])), -(subset(4 ^ [], union(4 ^ [], 5 ^ [])))],extension(7,bind([[_14702, _14758], [4 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.71/1.41 cnf('1.2.1.1.1.1.1',plain,[subset(4 ^ [], union(4 ^ [], 5 ^ []))],reduction('1.2.1')).
% 0.71/1.41 cnf('1.2.1.2',plain,[-(subset(union(4 ^ [], 5 ^ []), 4 ^ [])), -(member(1 ^ [4 ^ [], union(4 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ [])))],extension(6,bind([[_14758, _14702], [4 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.71/1.41 cnf('1.2.1.2.1',plain,[member(1 ^ [4 ^ [], union(4 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ [])), -(member(1 ^ [4 ^ [], union(4 ^ [], 5 ^ [])], 4 ^ [])), -(member(1 ^ [4 ^ [], union(4 ^ [], 5 ^ [])], 5 ^ []))],extension(15,bind([[_16461, _16402, _16519], [4 ^ [], 1 ^ [4 ^ [], union(4 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.71/1.41 cnf('1.2.1.2.1.1',plain,[member(1 ^ [4 ^ [], union(4 ^ [], 5 ^ [])], 4 ^ []), -(subset(union(4 ^ [], 5 ^ []), 4 ^ []))],extension(7,bind([[_14702, _14758], [union(4 ^ [], 5 ^ []), 4 ^ []]]))).
% 0.71/1.41 cnf('1.2.1.2.1.1.1',plain,[subset(union(4 ^ [], 5 ^ []), 4 ^ [])],reduction('1.2.1')).
% 0.71/1.41 cnf('1.2.1.2.1.2',plain,[member(1 ^ [4 ^ [], union(4 ^ [], 5 ^ [])], 5 ^ []), subset(5 ^ [], 4 ^ []), -(member(1 ^ [4 ^ [], union(4 ^ [], 5 ^ [])], 4 ^ []))],extension(8,bind([[_14702, _14872, _14758], [5 ^ [], 1 ^ [4 ^ [], union(4 ^ [], 5 ^ [])], 4 ^ []]]))).
% 0.71/1.41 cnf('1.2.1.2.1.2.1',plain,[-(subset(5 ^ [], 4 ^ [])), -(7 ^ [])],extension(2)).
% 0.71/1.41 cnf('1.2.1.2.1.2.1.1',plain,[7 ^ []],reduction('1')).
% 0.71/1.41 cnf('1.2.1.2.1.2.2',plain,[member(1 ^ [4 ^ [], union(4 ^ [], 5 ^ [])], 4 ^ [])],lemmata('1.2.1.2.1')).
% 0.71/1.41 %-----------------------------------------------------
% 0.71/1.41
% 0.71/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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