TSTP Solution File: SET929+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET929+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 02:57:09 EDT 2022
% Result : Theorem 0.31s 1.40s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET929+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 21:46:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.31/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.41
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41 fof(t73_zfmisc_1, conjecture, ! [_18697, _18700, _18703] : (set_difference(unordered_pair(_18697, _18700), _18703) = empty_set <=> in(_18697, _18703) & in(_18700, _18703)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t73_zfmisc_1)).
% 0.31/1.41 fof(t37_xboole_1, axiom, ! [_18971, _18974] : (set_difference(_18971, _18974) = empty_set <=> subset(_18971, _18974)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t37_xboole_1)).
% 0.31/1.41 fof(t38_zfmisc_1, axiom, ! [_19141, _19144, _19147] : (subset(unordered_pair(_19141, _19144), _19147) <=> in(_19141, _19147) & in(_19144, _19147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t38_zfmisc_1)).
% 0.31/1.41
% 0.31/1.41 cnf(1, plain, [-(7 ^ []), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set], clausify(t73_zfmisc_1)).
% 0.31/1.41 cnf(2, plain, [-(7 ^ []), -(in(4 ^ [], 5 ^ []))], clausify(t73_zfmisc_1)).
% 0.31/1.41 cnf(3, plain, [-(7 ^ []), -(in(3 ^ [], 5 ^ []))], clausify(t73_zfmisc_1)).
% 0.31/1.41 cnf(4, plain, [-(6 ^ []), in(3 ^ [], 5 ^ []), in(4 ^ [], 5 ^ [])], clausify(t73_zfmisc_1)).
% 0.31/1.41 cnf(5, plain, [-(6 ^ []), -(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set)], clausify(t73_zfmisc_1)).
% 0.31/1.41 cnf(6, plain, [7 ^ [], 6 ^ []], clausify(t73_zfmisc_1)).
% 0.31/1.41 cnf(7, plain, [set_difference(_10430, _10478) = empty_set, -(subset(_10430, _10478))], clausify(t37_xboole_1)).
% 0.31/1.41 cnf(8, plain, [-(set_difference(_10430, _10478) = empty_set), subset(_10430, _10478)], clausify(t37_xboole_1)).
% 0.31/1.41 cnf(9, plain, [subset(unordered_pair(_10773, _10832), _10890), -(in(_10773, _10890))], clausify(t38_zfmisc_1)).
% 0.31/1.41 cnf(10, plain, [subset(unordered_pair(_10773, _10832), _10890), -(in(_10832, _10890))], clausify(t38_zfmisc_1)).
% 0.31/1.41 cnf(11, plain, [-(subset(unordered_pair(_10773, _10832), _10890)), in(_10773, _10890), in(_10832, _10890)], clausify(t38_zfmisc_1)).
% 0.31/1.41
% 0.31/1.41 cnf('1',plain,[7 ^ [], 6 ^ []],start(6)).
% 0.31/1.41 cnf('1.1',plain,[-(7 ^ []), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set],extension(1)).
% 0.31/1.41 cnf('1.1.1',plain,[-(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set), subset(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])],extension(8,bind([[_10430, _10478], [unordered_pair(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.1',plain,[-(subset(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])), in(3 ^ [], 5 ^ []), in(4 ^ [], 5 ^ [])],extension(11,bind([[_10773, _10832, _10890], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.1.1',plain,[-(in(3 ^ [], 5 ^ [])), -(7 ^ [])],extension(3)).
% 0.31/1.41 cnf('1.1.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.31/1.41 cnf('1.1.1.1.2',plain,[-(in(4 ^ [], 5 ^ [])), -(7 ^ [])],extension(2)).
% 0.31/1.41 cnf('1.1.1.1.2.1',plain,[7 ^ []],reduction('1')).
% 0.31/1.41 cnf('1.2',plain,[-(6 ^ []), in(3 ^ [], 5 ^ []), in(4 ^ [], 5 ^ [])],extension(4)).
% 0.31/1.41 cnf('1.2.1',plain,[-(in(3 ^ [], 5 ^ [])), subset(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])],extension(9,bind([[_10773, _10832, _10890], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.31/1.41 cnf('1.2.1.1',plain,[-(subset(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set],extension(7,bind([[_10430, _10478], [unordered_pair(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 0.31/1.41 cnf('1.2.1.1.1',plain,[-(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set), -(6 ^ [])],extension(5)).
% 0.31/1.41 cnf('1.2.1.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.31/1.41 cnf('1.2.2',plain,[-(in(4 ^ [], 5 ^ [])), subset(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])],extension(10,bind([[_10773, _10832, _10890], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.31/1.41 cnf('1.2.2.1',plain,[-(subset(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set],extension(7,bind([[_10430, _10478], [unordered_pair(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 0.31/1.41 cnf('1.2.2.1.1',plain,[-(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set), -(6 ^ [])],extension(5)).
% 0.31/1.41 cnf('1.2.2.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.42
% 0.31/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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