TSTP Solution File: SET015+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET015+4 : 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 02:49:57 EDT 2022
% Result : Theorem 0.92s 1.40s
% Output : Proof 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET015+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n018.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 07:21:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.92/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.41
% 0.92/1.41 %-----------------------------------------------------
% 0.92/1.41 fof(thI07, conjecture, ! [_32840, _32843] : equal_set(union(_32840, _32843), union(_32843, _32840)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI07)).
% 0.92/1.41 fof(subset, axiom, ! [_33004, _33007] : (subset(_33004, _33007) <=> ! [_33025] : (member(_33025, _33004) => member(_33025, _33007))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.92/1.41 fof(equal_set, axiom, ! [_33223, _33226] : (equal_set(_33223, _33226) <=> subset(_33223, _33226) & subset(_33226, _33223)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.92/1.41 fof(union, axiom, ! [_33402, _33405, _33408] : (member(_33402, union(_33405, _33408)) <=> member(_33402, _33405) | member(_33402, _33408)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', union)).
% 0.92/1.41
% 0.92/1.41 cnf(1, plain, [equal_set(union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ []))], clausify(thI07)).
% 0.92/1.41 cnf(2, plain, [-(subset(_14653, _14709)), -(member(1 ^ [_14709, _14653], _14653))], clausify(subset)).
% 0.92/1.41 cnf(3, plain, [-(subset(_14653, _14709)), member(1 ^ [_14709, _14653], _14709)], clausify(subset)).
% 0.92/1.41 cnf(4, plain, [-(equal_set(_15114, _15165)), subset(_15114, _15165), subset(_15165, _15114)], clausify(equal_set)).
% 0.92/1.41 cnf(5, plain, [-(member(_16353, union(_16412, _16470))), member(_16353, _16412)], clausify(union)).
% 0.92/1.41 cnf(6, plain, [-(member(_16353, union(_16412, _16470))), member(_16353, _16470)], clausify(union)).
% 0.92/1.41 cnf(7, plain, [member(_16353, union(_16412, _16470)), -(member(_16353, _16412)), -(member(_16353, _16470))], clausify(union)).
% 0.92/1.41
% 0.92/1.41 cnf('1',plain,[equal_set(union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ []))],start(1)).
% 0.92/1.41 cnf('1.1',plain,[-(equal_set(union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ []))), subset(union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])), subset(union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ []))],extension(4,bind([[_15165, _15114], [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 0.92/1.41 cnf('1.1.1',plain,[-(subset(union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ []))), -(member(1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ [])))],extension(2,bind([[_14709, _14653], [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 0.92/1.41 cnf('1.1.1.1',plain,[member(1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ [])), -(member(1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], 4 ^ [])), -(member(1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], 5 ^ []))],extension(7,bind([[_16412, _16353, _16470], [4 ^ [], 1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.92/1.41 cnf('1.1.1.1.1',plain,[member(1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], 4 ^ []), -(member(1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], union(5 ^ [], 4 ^ [])))],extension(6,bind([[_16353, _16412, _16470], [1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], 5 ^ [], 4 ^ []]]))).
% 0.92/1.41 cnf('1.1.1.1.1.1',plain,[member(1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], union(5 ^ [], 4 ^ [])), -(subset(union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])))],extension(3,bind([[_14653, _14709], [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])]]))).
% 0.92/1.41 cnf('1.1.1.1.1.1.1',plain,[subset(union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ []))],reduction('1.1')).
% 0.92/1.41 cnf('1.1.1.1.2',plain,[member(1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], 5 ^ []), -(member(1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], union(5 ^ [], 4 ^ [])))],extension(5,bind([[_16353, _16412, _16470], [1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], 5 ^ [], 4 ^ []]]))).
% 0.92/1.41 cnf('1.1.1.1.2.1',plain,[member(1 ^ [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])], union(5 ^ [], 4 ^ [])), -(subset(union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])))],extension(3,bind([[_14653, _14709], [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])]]))).
% 0.92/1.41 cnf('1.1.1.1.2.1.1',plain,[subset(union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ []))],reduction('1.1')).
% 0.92/1.41 cnf('1.1.2',plain,[-(subset(union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ []))), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], union(5 ^ [], 4 ^ [])))],extension(2,bind([[_14709, _14653], [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])]]))).
% 0.92/1.41 cnf('1.1.2.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], union(5 ^ [], 4 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], 5 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], 4 ^ []))],extension(7,bind([[_16412, _16353, _16470], [5 ^ [], 1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.92/1.41 cnf('1.1.2.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], 5 ^ []), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], union(4 ^ [], 5 ^ [])))],extension(6,bind([[_16353, _16412, _16470], [1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], 4 ^ [], 5 ^ []]]))).
% 0.92/1.41 cnf('1.1.2.1.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], union(4 ^ [], 5 ^ [])), -(subset(union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])))],extension(3,bind([[_14653, _14709], [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 0.92/1.41 cnf('1.1.2.1.1.1.1',plain,[subset(union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ []))],reduction('1.1')).
% 0.92/1.41 cnf('1.1.2.1.2',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], 4 ^ []), -(member(1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], union(4 ^ [], 5 ^ [])))],extension(5,bind([[_16353, _16412, _16470], [1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], 4 ^ [], 5 ^ []]]))).
% 0.92/1.41 cnf('1.1.2.1.2.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), union(5 ^ [], 4 ^ [])], union(4 ^ [], 5 ^ [])), -(subset(union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])))],extension(3,bind([[_14653, _14709], [union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ [])]]))).
% 0.92/1.41 cnf('1.1.2.1.2.1.1',plain,[subset(union(5 ^ [], 4 ^ []), union(4 ^ [], 5 ^ []))],reduction('1.1')).
% 0.92/1.41 %-----------------------------------------------------
% 0.92/1.42
% 0.92/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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