%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET960+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 02:57:21 EDT 2022
% Result : Theorem 0.36s 1.41s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET960+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n010.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 07:06:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.42
% 0.36/1.42 %-----------------------------------------------------
% 0.36/1.42 fof(t113_zfmisc_1, conjecture, ! [_25577, _25580] : (cartesian_product2(_25577, _25580) = empty_set <=> _25577 = empty_set | _25580 = empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t113_zfmisc_1)).
% 0.36/1.42 fof(d1_xboole_0, axiom, ! [_25812] : (_25812 = empty_set <=> ! [_25826] : ~ in(_25826, _25812)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 0.36/1.42 fof(d2_zfmisc_1, axiom, ! [_25997, _26000, _26003] : (_26003 = cartesian_product2(_25997, _26000) <=> ! [_26024] : (in(_26024, _26003) <=> ? [_26042, _26045] : (in(_26042, _25997) & in(_26045, _26000) & _26024 = ordered_pair(_26042, _26045)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_zfmisc_1)).
% 0.36/1.42
% 0.36/1.42 cnf(1, plain, [-(12 ^ []), -(9 ^ [] = empty_set), -(10 ^ [] = empty_set)], clausify(t113_zfmisc_1)).
% 0.36/1.42 cnf(2, plain, [-(12 ^ []), cartesian_product2(9 ^ [], 10 ^ []) = empty_set], clausify(t113_zfmisc_1)).
% 0.36/1.42 cnf(3, plain, [-(11 ^ []), 10 ^ [] = empty_set], clausify(t113_zfmisc_1)).
% 0.36/1.42 cnf(4, plain, [-(11 ^ []), 9 ^ [] = empty_set], clausify(t113_zfmisc_1)).
% 0.36/1.42 cnf(5, plain, [-(11 ^ []), -(cartesian_product2(9 ^ [], 10 ^ []) = empty_set)], clausify(t113_zfmisc_1)).
% 0.36/1.42 cnf(6, plain, [11 ^ [], 12 ^ []], clausify(t113_zfmisc_1)).
% 0.36/1.42 cnf(7, plain, [_10782 = empty_set, in(_10888, _10782)], clausify(d1_xboole_0)).
% 0.36/1.42 cnf(8, plain, [-(_10782 = empty_set), -(in(1 ^ [_10782], _10782))], clausify(d1_xboole_0)).
% 0.36/1.42 cnf(9, plain, [_11283 = cartesian_product2(_11106, _11195), in(_11466, _11283), -(in(2 ^ [_11466, _11283, _11195, _11106], _11106))], clausify(d2_zfmisc_1)).
% 0.36/1.42 cnf(10, plain, [_11283 = cartesian_product2(_11106, _11195), in(_11466, _11283), -(in(3 ^ [_11466, _11283, _11195, _11106], _11195))], clausify(d2_zfmisc_1)).
% 0.36/1.42 cnf(11, plain, [_11283 = cartesian_product2(_11106, _11195), -(in(_11466, _11283)), in(_11603, _11106), in(_11674, _11195), _11466 = ordered_pair(_11603, _11674)], clausify(d2_zfmisc_1)).
% 0.36/1.42 cnf(12, plain, [-(_5989 = _5989)], theory(equality)).
% 0.36/1.42
% 0.36/1.42 cnf('1',plain,[11 ^ [], 12 ^ []],start(6)).
% 0.36/1.42 cnf('1.1',plain,[-(11 ^ []), -(cartesian_product2(9 ^ [], 10 ^ []) = empty_set)],extension(5)).
% 0.36/1.42 cnf('1.1.1',plain,[cartesian_product2(9 ^ [], 10 ^ []) = empty_set, in(ordered_pair(1 ^ [9 ^ []], 1 ^ [10 ^ []]), cartesian_product2(9 ^ [], 10 ^ []))],extension(7,bind([[_10888, _10782], [ordered_pair(1 ^ [9 ^ []], 1 ^ [10 ^ []]), cartesian_product2(9 ^ [], 10 ^ [])]]))).
% 0.36/1.42 cnf('1.1.1.1',plain,[-(in(ordered_pair(1 ^ [9 ^ []], 1 ^ [10 ^ []]), cartesian_product2(9 ^ [], 10 ^ []))), cartesian_product2(9 ^ [], 10 ^ []) = cartesian_product2(9 ^ [], 10 ^ []), in(1 ^ [9 ^ []], 9 ^ []), in(1 ^ [10 ^ []], 10 ^ []), ordered_pair(1 ^ [9 ^ []], 1 ^ [10 ^ []]) = ordered_pair(1 ^ [9 ^ []], 1 ^ [10 ^ []])],extension(11,bind([[_11283, _11106, _11195, _11466, _11603, _11674], [cartesian_product2(9 ^ [], 10 ^ []), 9 ^ [], 10 ^ [], ordered_pair(1 ^ [9 ^ []], 1 ^ [10 ^ []]), 1 ^ [9 ^ []], 1 ^ [10 ^ []]]]))).
% 0.36/1.42 cnf('1.1.1.1.1',plain,[-(cartesian_product2(9 ^ [], 10 ^ []) = cartesian_product2(9 ^ [], 10 ^ []))],extension(12,bind([[_5989], [cartesian_product2(9 ^ [], 10 ^ [])]]))).
% 0.36/1.42 cnf('1.1.1.1.2',plain,[-(in(1 ^ [9 ^ []], 9 ^ [])), -(9 ^ [] = empty_set)],extension(8,bind([[_10782], [9 ^ []]]))).
% 0.36/1.42 cnf('1.1.1.1.2.1',plain,[9 ^ [] = empty_set, -(11 ^ [])],extension(4)).
% 0.36/1.42 cnf('1.1.1.1.2.1.1',plain,[11 ^ []],reduction('1')).
% 0.36/1.42 cnf('1.1.1.1.3',plain,[-(in(1 ^ [10 ^ []], 10 ^ [])), -(10 ^ [] = empty_set)],extension(8,bind([[_10782], [10 ^ []]]))).
% 0.36/1.42 cnf('1.1.1.1.3.1',plain,[10 ^ [] = empty_set, -(11 ^ [])],extension(3)).
% 0.36/1.42 cnf('1.1.1.1.3.1.1',plain,[11 ^ []],reduction('1')).
% 0.36/1.42 cnf('1.1.1.1.4',plain,[-(ordered_pair(1 ^ [9 ^ []], 1 ^ [10 ^ []]) = ordered_pair(1 ^ [9 ^ []], 1 ^ [10 ^ []]))],extension(12,bind([[_5989], [ordered_pair(1 ^ [9 ^ []], 1 ^ [10 ^ []])]]))).
% 0.36/1.42 cnf('1.2',plain,[-(12 ^ []), -(9 ^ [] = empty_set), -(10 ^ [] = empty_set)],extension(1)).
% 0.36/1.42 cnf('1.2.1',plain,[9 ^ [] = empty_set, in(2 ^ [1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ []), 10 ^ [], 9 ^ []], 9 ^ [])],extension(7,bind([[_10888, _10782], [2 ^ [1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ []), 10 ^ [], 9 ^ []], 9 ^ []]]))).
% 0.36/1.42 cnf('1.2.1.1',plain,[-(in(2 ^ [1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ []), 10 ^ [], 9 ^ []], 9 ^ [])), cartesian_product2(9 ^ [], 10 ^ []) = cartesian_product2(9 ^ [], 10 ^ []), in(1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ []))],extension(9,bind([[_11106, _11195, _11466, _11283], [9 ^ [], 10 ^ [], 1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ [])]]))).
% 0.36/1.42 cnf('1.2.1.1.1',plain,[-(cartesian_product2(9 ^ [], 10 ^ []) = cartesian_product2(9 ^ [], 10 ^ []))],extension(12,bind([[_5989], [cartesian_product2(9 ^ [], 10 ^ [])]]))).
% 0.36/1.42 cnf('1.2.1.1.2',plain,[-(in(1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ []))), -(cartesian_product2(9 ^ [], 10 ^ []) = empty_set)],extension(8,bind([[_10782], [cartesian_product2(9 ^ [], 10 ^ [])]]))).
% 0.36/1.42 cnf('1.2.1.1.2.1',plain,[cartesian_product2(9 ^ [], 10 ^ []) = empty_set, -(12 ^ [])],extension(2)).
% 0.36/1.42 cnf('1.2.1.1.2.1.1',plain,[12 ^ []],reduction('1')).
% 0.36/1.42 cnf('1.2.2',plain,[10 ^ [] = empty_set, in(3 ^ [1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ []), 10 ^ [], 9 ^ []], 10 ^ [])],extension(7,bind([[_10888, _10782], [3 ^ [1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ []), 10 ^ [], 9 ^ []], 10 ^ []]]))).
% 0.36/1.42 cnf('1.2.2.1',plain,[-(in(3 ^ [1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ []), 10 ^ [], 9 ^ []], 10 ^ [])), cartesian_product2(9 ^ [], 10 ^ []) = cartesian_product2(9 ^ [], 10 ^ []), in(1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ []))],extension(10,bind([[_11106, _11195, _11466, _11283], [9 ^ [], 10 ^ [], 1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ [])]]))).
% 0.36/1.42 cnf('1.2.2.1.1',plain,[-(cartesian_product2(9 ^ [], 10 ^ []) = cartesian_product2(9 ^ [], 10 ^ []))],extension(12,bind([[_5989], [cartesian_product2(9 ^ [], 10 ^ [])]]))).
% 0.36/1.42 cnf('1.2.2.1.2',plain,[-(in(1 ^ [cartesian_product2(9 ^ [], 10 ^ [])], cartesian_product2(9 ^ [], 10 ^ []))), -(cartesian_product2(9 ^ [], 10 ^ []) = empty_set)],extension(8,bind([[_10782], [cartesian_product2(9 ^ [], 10 ^ [])]]))).
% 0.36/1.42 cnf('1.2.2.1.2.1',plain,[cartesian_product2(9 ^ [], 10 ^ []) = empty_set, -(12 ^ [])],extension(2)).
% 0.36/1.42 cnf('1.2.2.1.2.1.1',plain,[12 ^ []],reduction('1')).
% 0.36/1.42 %-----------------------------------------------------
% 0.36/1.43
% 0.36/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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