TSTP Solution File: SET971+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : SET971+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 02:57:25 EDT 2022
% Result : Theorem 0.31s 1.40s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET971+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 08:33:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.31/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.41
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41 fof(t124_zfmisc_1, conjecture, ! [_17621, _17624, _17627, _17630] : (subset(_17621, _17624) & subset(_17627, _17630) => set_intersection2(cartesian_product2(_17621, _17630), cartesian_product2(_17624, _17627)) = cartesian_product2(_17621, _17627)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t124_zfmisc_1)).
% 0.31/1.41 fof(commutativity_k3_xboole_0, axiom, ! [_17899, _17902] : set_intersection2(_17899, _17902) = set_intersection2(_17902, _17899), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 0.31/1.41 fof(t123_zfmisc_1, axiom, ! [_18049, _18052, _18055, _18058] : cartesian_product2(set_intersection2(_18049, _18052), set_intersection2(_18055, _18058)) = set_intersection2(cartesian_product2(_18049, _18055), cartesian_product2(_18052, _18058)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t123_zfmisc_1)).
% 0.31/1.41 fof(t28_xboole_1, axiom, ! [_18281, _18284] : (subset(_18281, _18284) => set_intersection2(_18281, _18284) = _18281), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t28_xboole_1)).
% 0.31/1.41
% 0.31/1.41 cnf(1, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(t124_zfmisc_1)).
% 0.31/1.41 cnf(2, plain, [-(subset(5 ^ [], 6 ^ []))], clausify(t124_zfmisc_1)).
% 0.31/1.41 cnf(3, plain, [set_intersection2(cartesian_product2(3 ^ [], 6 ^ []), cartesian_product2(4 ^ [], 5 ^ [])) = cartesian_product2(3 ^ [], 5 ^ [])], clausify(t124_zfmisc_1)).
% 0.31/1.41 cnf(4, plain, [-(set_intersection2(_8448, _8493) = set_intersection2(_8493, _8448))], clausify(commutativity_k3_xboole_0)).
% 0.31/1.41 cnf(5, plain, [-(cartesian_product2(set_intersection2(_9573, _9640), set_intersection2(_9706, _9771)) = set_intersection2(cartesian_product2(_9573, _9706), cartesian_product2(_9640, _9771)))], clausify(t123_zfmisc_1)).
% 0.31/1.41 cnf(6, plain, [subset(_10208, _10256), -(set_intersection2(_10208, _10256) = _10208)], clausify(t28_xboole_1)).
% 0.31/1.41 cnf(7, plain, [-(cartesian_product2(_7159, _7292) = cartesian_product2(_7226, _7357)), _7159 = _7226, _7292 = _7357], theory(equality)).
% 0.31/1.41 cnf(8, plain, [_5431 = _5476, -(_5476 = _5431)], theory(equality)).
% 0.31/1.41 cnf(9, plain, [-(_5710 = _5821), _5710 = _5766, _5766 = _5821], theory(equality)).
% 0.31/1.41
% 0.31/1.41 cnf('1',plain,[set_intersection2(cartesian_product2(3 ^ [], 6 ^ []), cartesian_product2(4 ^ [], 5 ^ [])) = cartesian_product2(3 ^ [], 5 ^ [])],start(3)).
% 0.31/1.41 cnf('1.1',plain,[-(set_intersection2(cartesian_product2(3 ^ [], 6 ^ []), cartesian_product2(4 ^ [], 5 ^ [])) = cartesian_product2(3 ^ [], 5 ^ [])), set_intersection2(cartesian_product2(3 ^ [], 6 ^ []), cartesian_product2(4 ^ [], 5 ^ [])) = cartesian_product2(set_intersection2(3 ^ [], 4 ^ []), set_intersection2(6 ^ [], 5 ^ [])), cartesian_product2(set_intersection2(3 ^ [], 4 ^ []), set_intersection2(6 ^ [], 5 ^ [])) = cartesian_product2(3 ^ [], 5 ^ [])],extension(9,bind([[_5710, _5766, _5821], [set_intersection2(cartesian_product2(3 ^ [], 6 ^ []), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(set_intersection2(3 ^ [], 4 ^ []), set_intersection2(6 ^ [], 5 ^ [])), cartesian_product2(3 ^ [], 5 ^ [])]]))).
% 0.31/1.41 cnf('1.1.1',plain,[-(set_intersection2(cartesian_product2(3 ^ [], 6 ^ []), cartesian_product2(4 ^ [], 5 ^ [])) = cartesian_product2(set_intersection2(3 ^ [], 4 ^ []), set_intersection2(6 ^ [], 5 ^ []))), cartesian_product2(set_intersection2(3 ^ [], 4 ^ []), set_intersection2(6 ^ [], 5 ^ [])) = set_intersection2(cartesian_product2(3 ^ [], 6 ^ []), cartesian_product2(4 ^ [], 5 ^ []))],extension(8,bind([[_5431, _5476], [cartesian_product2(set_intersection2(3 ^ [], 4 ^ []), set_intersection2(6 ^ [], 5 ^ [])), set_intersection2(cartesian_product2(3 ^ [], 6 ^ []), cartesian_product2(4 ^ [], 5 ^ []))]]))).
% 0.31/1.41 cnf('1.1.1.1',plain,[-(cartesian_product2(set_intersection2(3 ^ [], 4 ^ []), set_intersection2(6 ^ [], 5 ^ [])) = set_intersection2(cartesian_product2(3 ^ [], 6 ^ []), cartesian_product2(4 ^ [], 5 ^ [])))],extension(5,bind([[_9573, _9706, _9640, _9771], [3 ^ [], 6 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.31/1.41 cnf('1.1.2',plain,[-(cartesian_product2(set_intersection2(3 ^ [], 4 ^ []), set_intersection2(6 ^ [], 5 ^ [])) = cartesian_product2(3 ^ [], 5 ^ [])), set_intersection2(3 ^ [], 4 ^ []) = 3 ^ [], set_intersection2(6 ^ [], 5 ^ []) = 5 ^ []],extension(7,bind([[_7159, _7226, _7292, _7357], [set_intersection2(3 ^ [], 4 ^ []), 3 ^ [], set_intersection2(6 ^ [], 5 ^ []), 5 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.1',plain,[-(set_intersection2(3 ^ [], 4 ^ []) = 3 ^ []), subset(3 ^ [], 4 ^ [])],extension(6,bind([[_10208, _10256], [3 ^ [], 4 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.1.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(1)).
% 0.31/1.41 cnf('1.1.2.2',plain,[-(set_intersection2(6 ^ [], 5 ^ []) = 5 ^ []), set_intersection2(6 ^ [], 5 ^ []) = set_intersection2(5 ^ [], 6 ^ []), set_intersection2(5 ^ [], 6 ^ []) = 5 ^ []],extension(9,bind([[_5710, _5766, _5821], [set_intersection2(6 ^ [], 5 ^ []), set_intersection2(5 ^ [], 6 ^ []), 5 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.2.1',plain,[-(set_intersection2(6 ^ [], 5 ^ []) = set_intersection2(5 ^ [], 6 ^ []))],extension(4,bind([[_8493, _8448], [5 ^ [], 6 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.2.2',plain,[-(set_intersection2(5 ^ [], 6 ^ []) = 5 ^ []), subset(5 ^ [], 6 ^ [])],extension(6,bind([[_10208, _10256], [5 ^ [], 6 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.2.2.1',plain,[-(subset(5 ^ [], 6 ^ []))],extension(2)).
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41
% 0.31/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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