TSTP Solution File: SET002+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET002+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 02:49:43 EDT 2022
% Result : Theorem 0.43s 1.40s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET002+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n006.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 02:32:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.41
% 0.43/1.41 %-----------------------------------------------------
% 0.43/1.41 fof(thI14, conjecture, ! [_29806] : equal_set(union(_29806, _29806), _29806), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI14)).
% 0.43/1.41 fof(subset, axiom, ! [_29943, _29946] : (subset(_29943, _29946) <=> ! [_29964] : (member(_29964, _29943) => member(_29964, _29946))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 0.43/1.41 fof(equal_set, axiom, ! [_30162, _30165] : (equal_set(_30162, _30165) <=> subset(_30162, _30165) & subset(_30165, _30162)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.43/1.41 fof(union, axiom, ! [_30341, _30344, _30347] : (member(_30341, union(_30344, _30347)) <=> member(_30341, _30344) | member(_30341, _30347)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', union)).
% 0.43/1.41
% 0.43/1.41 cnf(1, plain, [equal_set(union(4 ^ [], 4 ^ []), 4 ^ [])], clausify(thI14)).
% 0.43/1.41 cnf(2, plain, [-(subset(_14553, _14609)), -(member(1 ^ [_14609, _14553], _14553))], clausify(subset)).
% 0.43/1.41 cnf(3, plain, [-(subset(_14553, _14609)), member(1 ^ [_14609, _14553], _14609)], clausify(subset)).
% 0.43/1.41 cnf(4, plain, [-(equal_set(_15014, _15065)), subset(_15014, _15065), subset(_15065, _15014)], clausify(equal_set)).
% 0.43/1.41 cnf(5, plain, [-(member(_16253, union(_16312, _16370))), member(_16253, _16312)], clausify(union)).
% 0.43/1.41 cnf(6, plain, [member(_16253, union(_16312, _16370)), -(member(_16253, _16312)), -(member(_16253, _16370))], clausify(union)).
% 0.43/1.41
% 0.43/1.41 cnf('1',plain,[equal_set(union(4 ^ [], 4 ^ []), 4 ^ [])],start(1)).
% 0.43/1.41 cnf('1.1',plain,[-(equal_set(union(4 ^ [], 4 ^ []), 4 ^ [])), subset(union(4 ^ [], 4 ^ []), 4 ^ []), subset(4 ^ [], union(4 ^ [], 4 ^ []))],extension(4,bind([[_15065, _15014], [4 ^ [], union(4 ^ [], 4 ^ [])]]))).
% 0.43/1.41 cnf('1.1.1',plain,[-(subset(union(4 ^ [], 4 ^ []), 4 ^ [])), -(member(1 ^ [4 ^ [], union(4 ^ [], 4 ^ [])], union(4 ^ [], 4 ^ [])))],extension(2,bind([[_14609, _14553], [4 ^ [], union(4 ^ [], 4 ^ [])]]))).
% 0.43/1.41 cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], union(4 ^ [], 4 ^ [])], union(4 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], union(4 ^ [], 4 ^ [])], 4 ^ [])), -(member(1 ^ [4 ^ [], union(4 ^ [], 4 ^ [])], 4 ^ []))],extension(6,bind([[_16312, _16253, _16370], [4 ^ [], 1 ^ [4 ^ [], union(4 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.43/1.41 cnf('1.1.1.1.1',plain,[member(1 ^ [4 ^ [], union(4 ^ [], 4 ^ [])], 4 ^ []), -(subset(union(4 ^ [], 4 ^ []), 4 ^ []))],extension(3,bind([[_14553, _14609], [union(4 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.43/1.41 cnf('1.1.1.1.1.1',plain,[subset(union(4 ^ [], 4 ^ []), 4 ^ [])],reduction('1.1')).
% 0.43/1.41 cnf('1.1.1.1.2',plain,[member(1 ^ [4 ^ [], union(4 ^ [], 4 ^ [])], 4 ^ [])],lemmata('1.1.1.1')).
% 0.43/1.41 cnf('1.1.2',plain,[-(subset(4 ^ [], union(4 ^ [], 4 ^ []))), -(member(1 ^ [union(4 ^ [], 4 ^ []), 4 ^ []], 4 ^ []))],extension(2,bind([[_14609, _14553], [union(4 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.43/1.41 cnf('1.1.2.1',plain,[member(1 ^ [union(4 ^ [], 4 ^ []), 4 ^ []], 4 ^ []), -(member(1 ^ [union(4 ^ [], 4 ^ []), 4 ^ []], union(4 ^ [], 4 ^ [])))],extension(5,bind([[_16253, _16312, _16370], [1 ^ [union(4 ^ [], 4 ^ []), 4 ^ []], 4 ^ [], 4 ^ []]]))).
% 0.43/1.41 cnf('1.1.2.1.1',plain,[member(1 ^ [union(4 ^ [], 4 ^ []), 4 ^ []], union(4 ^ [], 4 ^ [])), -(subset(4 ^ [], union(4 ^ [], 4 ^ [])))],extension(3,bind([[_14553, _14609], [4 ^ [], union(4 ^ [], 4 ^ [])]]))).
% 0.43/1.41 cnf('1.1.2.1.1.1',plain,[subset(4 ^ [], union(4 ^ [], 4 ^ []))],reduction('1.1')).
% 0.43/1.41 %-----------------------------------------------------
% 0.43/1.41
% 0.43/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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