TSTP Solution File: SET877+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET877+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 02:56:46 EDT 2022
% Result : Theorem 41.61s 40.74s
% Output : Proof 41.61s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET877+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n015.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 19:59:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 41.61/40.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.61/40.75 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.61/40.76
% 41.61/40.76 %-----------------------------------------------------
% 41.61/40.76 fof(d1_tarski, axiom, ! [_18665, _18668] : (_18668 = singleton(_18665) <=> ! [_18686] : (in(_18686, _18668) <=> _18686 = _18665)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 41.61/40.76 fof(t18_zfmisc_1, conjecture, ! [_18881, _18884] : (set_intersection2(singleton(_18881), singleton(_18884)) = singleton(_18881) => _18881 = _18884), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t18_zfmisc_1)).
% 41.61/40.76 fof(commutativity_k3_xboole_0, axiom, ! [_19075, _19078] : set_intersection2(_19075, _19078) = set_intersection2(_19078, _19075), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 41.61/40.76 fof(l30_zfmisc_1, axiom, ! [_19224, _19227] : (set_intersection2(_19224, singleton(_19227)) = singleton(_19227) => in(_19227, _19224)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l30_zfmisc_1)).
% 41.61/40.76
% 41.61/40.76 cnf(1, plain, [-(1 ^ [_8735, _8677]), -(in(_8867, _8735)), _8867 = _8677], clausify(d1_tarski)).
% 41.61/40.76 cnf(2, plain, [-(1 ^ [_8735, _8677]), in(_8867, _8735), -(_8867 = _8677)], clausify(d1_tarski)).
% 41.61/40.76 cnf(3, plain, [-(set_intersection2(singleton(7 ^ []), singleton(8 ^ [])) = singleton(7 ^ []))], clausify(t18_zfmisc_1)).
% 41.61/40.76 cnf(4, plain, [7 ^ [] = 8 ^ []], clausify(t18_zfmisc_1)).
% 41.61/40.76 cnf(5, plain, [-(set_intersection2(_8367, _8412) = set_intersection2(_8412, _8367))], clausify(commutativity_k3_xboole_0)).
% 41.61/40.76 cnf(6, plain, [set_intersection2(_9425, singleton(_9477)) = singleton(_9477), -(in(_9477, _9425))], clausify(l30_zfmisc_1)).
% 41.61/40.76 cnf(7, plain, [_8735 = singleton(_8677), 1 ^ [_8735, _8677]], clausify(d1_tarski)).
% 41.61/40.76 cnf(8, plain, [_7657 = _7706, -(singleton(_7657) = singleton(_7706))], theory(equality)).
% 41.61/40.76 cnf(9, plain, [-(_5162 = _5162)], theory(equality)).
% 41.61/40.76 cnf(10, plain, [_5315 = _5360, -(_5360 = _5315)], theory(equality)).
% 41.61/40.76 cnf(11, plain, [-(_5594 = _5705), _5594 = _5650, _5650 = _5705], theory(equality)).
% 41.61/40.76
% 41.61/40.76 cnf('1',plain,[-(set_intersection2(singleton(7 ^ []), singleton(8 ^ [])) = singleton(7 ^ []))],start(3)).
% 41.61/40.76 cnf('1.1',plain,[set_intersection2(singleton(7 ^ []), singleton(8 ^ [])) = singleton(7 ^ []), -(singleton(set_intersection2(singleton(7 ^ []), singleton(8 ^ []))) = singleton(singleton(7 ^ [])))],extension(8,bind([[_7657, _7706], [set_intersection2(singleton(7 ^ []), singleton(8 ^ [])), singleton(7 ^ [])]]))).
% 41.61/40.76 cnf('1.1.1',plain,[singleton(set_intersection2(singleton(7 ^ []), singleton(8 ^ []))) = singleton(singleton(7 ^ [])), -(singleton(singleton(7 ^ [])) = singleton(set_intersection2(singleton(7 ^ []), singleton(8 ^ []))))],extension(10,bind([[_5360, _5315], [singleton(singleton(7 ^ [])), singleton(set_intersection2(singleton(7 ^ []), singleton(8 ^ [])))]]))).
% 41.61/40.76 cnf('1.1.1.1',plain,[singleton(singleton(7 ^ [])) = singleton(set_intersection2(singleton(7 ^ []), singleton(8 ^ []))), 1 ^ [singleton(singleton(7 ^ [])), set_intersection2(singleton(7 ^ []), singleton(8 ^ []))]],extension(7,bind([[_8735, _8677], [singleton(singleton(7 ^ [])), set_intersection2(singleton(7 ^ []), singleton(8 ^ []))]]))).
% 41.61/40.76 cnf('1.1.1.1.1',plain,[-(1 ^ [singleton(singleton(7 ^ [])), set_intersection2(singleton(7 ^ []), singleton(8 ^ []))]), in(set_intersection2(singleton(8 ^ []), singleton(7 ^ [])), singleton(singleton(7 ^ []))), -(set_intersection2(singleton(8 ^ []), singleton(7 ^ [])) = set_intersection2(singleton(7 ^ []), singleton(8 ^ [])))],extension(2,bind([[_8735, _8867, _8677], [singleton(singleton(7 ^ [])), set_intersection2(singleton(8 ^ []), singleton(7 ^ [])), set_intersection2(singleton(7 ^ []), singleton(8 ^ []))]]))).
% 41.61/40.76 cnf('1.1.1.1.1.1',plain,[-(in(set_intersection2(singleton(8 ^ []), singleton(7 ^ [])), singleton(singleton(7 ^ [])))), -(1 ^ [singleton(singleton(7 ^ [])), set_intersection2(singleton(7 ^ []), singleton(8 ^ []))]), set_intersection2(singleton(8 ^ []), singleton(7 ^ [])) = set_intersection2(singleton(7 ^ []), singleton(8 ^ []))],extension(1,bind([[_8735, _8867, _8677], [singleton(singleton(7 ^ [])), set_intersection2(singleton(8 ^ []), singleton(7 ^ [])), set_intersection2(singleton(7 ^ []), singleton(8 ^ []))]]))).
% 41.61/40.76 cnf('1.1.1.1.1.1.1',plain,[1 ^ [singleton(singleton(7 ^ [])), set_intersection2(singleton(7 ^ []), singleton(8 ^ []))]],reduction('1.1.1.1')).
% 41.61/40.76 cnf('1.1.1.1.1.1.2',plain,[-(set_intersection2(singleton(8 ^ []), singleton(7 ^ [])) = set_intersection2(singleton(7 ^ []), singleton(8 ^ [])))],extension(5,bind([[_8412, _8367], [singleton(7 ^ []), singleton(8 ^ [])]]))).
% 41.61/40.76 cnf('1.1.1.1.1.2',plain,[set_intersection2(singleton(8 ^ []), singleton(7 ^ [])) = set_intersection2(singleton(7 ^ []), singleton(8 ^ [])), -(set_intersection2(singleton(8 ^ []), singleton(7 ^ [])) = singleton(7 ^ [])), set_intersection2(singleton(7 ^ []), singleton(8 ^ [])) = singleton(7 ^ [])],extension(11,bind([[_5594, _5650, _5705], [set_intersection2(singleton(8 ^ []), singleton(7 ^ [])), set_intersection2(singleton(7 ^ []), singleton(8 ^ [])), singleton(7 ^ [])]]))).
% 41.61/40.76 cnf('1.1.1.1.1.2.1',plain,[set_intersection2(singleton(8 ^ []), singleton(7 ^ [])) = singleton(7 ^ []), -(in(7 ^ [], singleton(8 ^ [])))],extension(6,bind([[_9477, _9425], [7 ^ [], singleton(8 ^ [])]]))).
% 41.61/40.76 cnf('1.1.1.1.1.2.1.1',plain,[in(7 ^ [], singleton(8 ^ [])), -(1 ^ [singleton(8 ^ []), 8 ^ []]), -(7 ^ [] = 8 ^ [])],extension(2,bind([[_8735, _8867, _8677], [singleton(8 ^ []), 7 ^ [], 8 ^ []]]))).
% 41.61/40.76 cnf('1.1.1.1.1.2.1.1.1',plain,[1 ^ [singleton(8 ^ []), 8 ^ []], singleton(8 ^ []) = singleton(8 ^ [])],extension(7,bind([[_8735, _8677], [singleton(8 ^ []), 8 ^ []]]))).
% 41.61/40.76 cnf('1.1.1.1.1.2.1.1.1.1',plain,[-(singleton(8 ^ []) = singleton(8 ^ []))],extension(9,bind([[_5162], [singleton(8 ^ [])]]))).
% 41.61/40.76 cnf('1.1.1.1.1.2.1.1.2',plain,[7 ^ [] = 8 ^ []],extension(4)).
% 41.61/40.76 cnf('1.1.1.1.1.2.2',plain,[-(set_intersection2(singleton(7 ^ []), singleton(8 ^ [])) = singleton(7 ^ []))],extension(3)).
% 41.61/40.76 %-----------------------------------------------------
% 41.61/40.76
% 41.61/40.76 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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