TSTP Solution File: SEU126+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU126+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 12:00:16 EDT 2022
% Result : Theorem 0.37s 1.41s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU126+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n022.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
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 22:59:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.42
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.42 fof(t12_xboole_1, conjecture, ! [_25579, _25582] : (subset(_25579, _25582) => set_union2(_25579, _25582) = _25582), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_xboole_1)).
% 0.37/1.42 fof(d2_xboole_0, axiom, ! [_25775, _25778, _25781] : (_25781 = set_union2(_25775, _25778) <=> ! [_25802] : (in(_25802, _25781) <=> in(_25802, _25775) | in(_25802, _25778))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.37/1.42 fof(d3_tarski, axiom, ! [_26044, _26047] : (subset(_26044, _26047) <=> ! [_26065] : (in(_26065, _26044) => in(_26065, _26047))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.37/1.42
% 0.37/1.42 cnf(1, plain, [-(subset(5 ^ [], 6 ^ []))], clausify(t12_xboole_1)).
% 0.37/1.42 cnf(2, plain, [set_union2(5 ^ [], 6 ^ []) = 6 ^ []], clausify(t12_xboole_1)).
% 0.37/1.42 cnf(3, plain, [_7987 = _8032, -(_8032 = _7987)], theory(equality)).
% 0.37/1.42 cnf(4, plain, [-(_12179 = set_union2(_12040, _12110)), in(1 ^ [_12179, _12110, _12040], _12179), in(1 ^ [_12179, _12110, _12040], _12110)], clausify(d2_xboole_0)).
% 0.37/1.42 cnf(5, plain, [-(_12179 = set_union2(_12040, _12110)), -(in(1 ^ [_12179, _12110, _12040], _12179)), -(in(1 ^ [_12179, _12110, _12040], _12040)), -(in(1 ^ [_12179, _12110, _12040], _12110))], clausify(d2_xboole_0)).
% 0.37/1.42 cnf(6, plain, [subset(_12725, _12781), in(_12895, _12725), -(in(_12895, _12781))], clausify(d3_tarski)).
% 0.37/1.42
% 0.37/1.42 cnf('1',plain,[set_union2(5 ^ [], 6 ^ []) = 6 ^ []],start(2)).
% 0.37/1.42 cnf('1.1',plain,[-(set_union2(5 ^ [], 6 ^ []) = 6 ^ []), 6 ^ [] = set_union2(5 ^ [], 6 ^ [])],extension(3,bind([[_7987, _8032], [6 ^ [], set_union2(5 ^ [], 6 ^ [])]]))).
% 0.37/1.42 cnf('1.1.1',plain,[-(6 ^ [] = set_union2(5 ^ [], 6 ^ [])), -(in(1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 6 ^ [])), -(in(1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 5 ^ [])), -(in(1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 6 ^ []))],extension(5,bind([[_12179, _12040, _12110], [6 ^ [], 5 ^ [], 6 ^ []]]))).
% 0.37/1.42 cnf('1.1.1.1',plain,[in(1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 6 ^ []), -(6 ^ [] = set_union2(5 ^ [], 6 ^ [])), in(1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 6 ^ [])],extension(4,bind([[_12179, _12040, _12110], [6 ^ [], 5 ^ [], 6 ^ []]]))).
% 0.37/1.42 cnf('1.1.1.1.1',plain,[6 ^ [] = set_union2(5 ^ [], 6 ^ [])],reduction('1.1')).
% 0.37/1.42 cnf('1.1.1.1.2',plain,[-(in(1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 6 ^ []))],reduction('1.1.1')).
% 0.37/1.42 cnf('1.1.1.2',plain,[in(1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 5 ^ []), subset(5 ^ [], 6 ^ []), -(in(1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 6 ^ []))],extension(6,bind([[_12725, _12895, _12781], [5 ^ [], 1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 6 ^ []]]))).
% 0.37/1.42 cnf('1.1.1.2.1',plain,[-(subset(5 ^ [], 6 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.1.1.2.2',plain,[in(1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 6 ^ [])],lemmata('1.1.1')).
% 0.37/1.42 cnf('1.1.1.3',plain,[in(1 ^ [6 ^ [], 6 ^ [], 5 ^ []], 6 ^ [])],lemmata('1.1.1')).
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.42
% 0.37/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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