TSTP Solution File: SET162+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET162+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 02:51:59 EDT 2022
% Result : Theorem 0.39s 1.40s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET162+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n005.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 10:19:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.41
% 0.39/1.41 %-----------------------------------------------------
% 0.39/1.41 fof(thI18, conjecture, ! [_29934] : equal_set(union(_29934, empty_set), _29934), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI18)).
% 0.39/1.41 fof(subset, axiom, ! [_30071, _30074] : (subset(_30071, _30074) <=> ! [_30092] : (member(_30092, _30071) => member(_30092, _30074))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.39/1.41 fof(equal_set, axiom, ! [_30290, _30293] : (equal_set(_30290, _30293) <=> subset(_30290, _30293) & subset(_30293, _30290)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.39/1.41 fof(union, axiom, ! [_30469, _30472, _30475] : (member(_30469, union(_30472, _30475)) <=> member(_30469, _30472) | member(_30469, _30475)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', union)).
% 0.39/1.41 fof(empty_set, axiom, ! [_30683] : ~ member(_30683, empty_set), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.39/1.41
% 0.39/1.41 cnf(1, plain, [equal_set(union(4 ^ [], empty_set), 4 ^ [])], clausify(thI18)).
% 0.39/1.41 cnf(2, plain, [-(subset(_14587, _14643)), -(member(1 ^ [_14643, _14587], _14587))], clausify(subset)).
% 0.39/1.41 cnf(3, plain, [-(subset(_14587, _14643)), member(1 ^ [_14643, _14587], _14643)], clausify(subset)).
% 0.39/1.41 cnf(4, plain, [-(equal_set(_15048, _15099)), subset(_15048, _15099), subset(_15099, _15048)], clausify(equal_set)).
% 0.39/1.41 cnf(5, plain, [-(member(_16287, union(_16346, _16404))), member(_16287, _16346)], clausify(union)).
% 0.39/1.41 cnf(6, plain, [member(_16287, union(_16346, _16404)), -(member(_16287, _16346)), -(member(_16287, _16404))], clausify(union)).
% 0.39/1.41 cnf(7, plain, [member(_16800, empty_set)], clausify(empty_set)).
% 0.39/1.41
% 0.39/1.41 cnf('1',plain,[equal_set(union(4 ^ [], empty_set), 4 ^ [])],start(1)).
% 0.39/1.41 cnf('1.1',plain,[-(equal_set(union(4 ^ [], empty_set), 4 ^ [])), subset(union(4 ^ [], empty_set), 4 ^ []), subset(4 ^ [], union(4 ^ [], empty_set))],extension(4,bind([[_15099, _15048], [4 ^ [], union(4 ^ [], empty_set)]]))).
% 0.39/1.41 cnf('1.1.1',plain,[-(subset(union(4 ^ [], empty_set), 4 ^ [])), -(member(1 ^ [4 ^ [], union(4 ^ [], empty_set)], union(4 ^ [], empty_set)))],extension(2,bind([[_14643, _14587], [4 ^ [], union(4 ^ [], empty_set)]]))).
% 0.39/1.41 cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], union(4 ^ [], empty_set)], union(4 ^ [], empty_set)), -(member(1 ^ [4 ^ [], union(4 ^ [], empty_set)], 4 ^ [])), -(member(1 ^ [4 ^ [], union(4 ^ [], empty_set)], empty_set))],extension(6,bind([[_16346, _16287, _16404], [4 ^ [], 1 ^ [4 ^ [], union(4 ^ [], empty_set)], empty_set]]))).
% 0.39/1.41 cnf('1.1.1.1.1',plain,[member(1 ^ [4 ^ [], union(4 ^ [], empty_set)], 4 ^ []), -(subset(union(4 ^ [], empty_set), 4 ^ []))],extension(3,bind([[_14587, _14643], [union(4 ^ [], empty_set), 4 ^ []]]))).
% 0.39/1.41 cnf('1.1.1.1.1.1',plain,[subset(union(4 ^ [], empty_set), 4 ^ [])],reduction('1.1')).
% 0.39/1.41 cnf('1.1.1.1.2',plain,[member(1 ^ [4 ^ [], union(4 ^ [], empty_set)], empty_set)],extension(7,bind([[_16800], [1 ^ [4 ^ [], union(4 ^ [], empty_set)]]]))).
% 0.39/1.41 cnf('1.1.2',plain,[-(subset(4 ^ [], union(4 ^ [], empty_set))), -(member(1 ^ [union(4 ^ [], empty_set), 4 ^ []], 4 ^ []))],extension(2,bind([[_14643, _14587], [union(4 ^ [], empty_set), 4 ^ []]]))).
% 0.39/1.41 cnf('1.1.2.1',plain,[member(1 ^ [union(4 ^ [], empty_set), 4 ^ []], 4 ^ []), -(member(1 ^ [union(4 ^ [], empty_set), 4 ^ []], union(4 ^ [], empty_set)))],extension(5,bind([[_16287, _16346, _16404], [1 ^ [union(4 ^ [], empty_set), 4 ^ []], 4 ^ [], empty_set]]))).
% 0.39/1.41 cnf('1.1.2.1.1',plain,[member(1 ^ [union(4 ^ [], empty_set), 4 ^ []], union(4 ^ [], empty_set)), -(subset(4 ^ [], union(4 ^ [], empty_set)))],extension(3,bind([[_14587, _14643], [4 ^ [], union(4 ^ [], empty_set)]]))).
% 0.39/1.41 cnf('1.1.2.1.1.1',plain,[subset(4 ^ [], union(4 ^ [], empty_set))],reduction('1.1')).
% 0.39/1.41 %-----------------------------------------------------
% 0.39/1.42
% 0.39/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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