TSTP Solution File: SET985+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET985+1 : TPTP v8.1.0. Released v3.2.0.
% 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 02:57:30 EDT 2022
% Result : Theorem 171.57s 168.54s
% Output : Proof 171.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET985+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 06:25:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 171.57/168.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 171.57/168.55 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 171.62/168.55
% 171.62/168.55 %-----------------------------------------------------
% 171.62/168.55 fof(t138_zfmisc_1, axiom, ! [_23421, _23424, _23427, _23430] : (subset(cartesian_product2(_23421, _23424), cartesian_product2(_23427, _23430)) => cartesian_product2(_23421, _23424) = empty_set | subset(_23421, _23427) & subset(_23424, _23430)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t138_zfmisc_1)).
% 171.62/168.55 fof(t2_xboole_1, axiom, ! [_23689] : subset(empty_set, _23689), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_xboole_1)).
% 171.62/168.55 fof(t113_zfmisc_1, axiom, ! [_23796, _23799] : (cartesian_product2(_23796, _23799) = empty_set <=> _23796 = empty_set | _23799 = empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t113_zfmisc_1)).
% 171.62/168.55 fof(t139_zfmisc_1, conjecture, ! [_23977] : (~ empty(_23977) => ! [_23994, _23997, _24000] : (subset(cartesian_product2(_23977, _23994), cartesian_product2(_23997, _24000)) | subset(cartesian_product2(_23994, _23977), cartesian_product2(_24000, _23997)) => subset(_23994, _24000))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t139_zfmisc_1)).
% 171.62/168.55 fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_xboole_0)).
% 171.62/168.55
% 171.62/168.55 cnf(1, plain, [-(empty(_6239)), _6190 = _6239, empty(_6190)], theory(equality)).
% 171.62/168.55 cnf(2, plain, [_5435 = _5480, -(_5480 = _5435)], theory(equality)).
% 171.62/168.55 cnf(3, plain, [-(4 ^ [_9137, _9063, _8988, _8912]), -(subset(_8988, _9137))], clausify(t138_zfmisc_1)).
% 171.62/168.55 cnf(4, plain, [-(subset(empty_set, _9694))], clausify(t2_xboole_1)).
% 171.62/168.55 cnf(5, plain, [cartesian_product2(_8473, _8527) = empty_set, -(_8473 = empty_set), -(_8527 = empty_set)], clausify(t113_zfmisc_1)).
% 171.62/168.55 cnf(6, plain, [-(subset(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(7 ^ [], 8 ^ []))), -(subset(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))], clausify(t139_zfmisc_1)).
% 171.62/168.55 cnf(7, plain, [-(4 ^ [_9137, _9063, _8988, _8912]), -(subset(_8912, _9063))], clausify(t138_zfmisc_1)).
% 171.62/168.55 cnf(8, plain, [empty(5 ^ [])], clausify(t139_zfmisc_1)).
% 171.62/168.55 cnf(9, plain, [subset(6 ^ [], 8 ^ [])], clausify(t139_zfmisc_1)).
% 171.62/168.55 cnf(10, plain, [-(_5282 = _5282)], theory(equality)).
% 171.62/168.55 cnf(11, plain, [subset(cartesian_product2(_8912, _8988), cartesian_product2(_9063, _9137)), -(cartesian_product2(_8912, _8988) = empty_set), 4 ^ [_9137, _9063, _8988, _8912]], clausify(t138_zfmisc_1)).
% 171.62/168.55 cnf(12, plain, [-(empty(empty_set))], clausify(fc1_xboole_0)).
% 171.62/168.55 cnf(13, plain, [-(subset(_6576, _6707)), subset(_6509, _6642), _6509 = _6576, _6642 = _6707], theory(equality)).
% 171.62/168.55
% 171.62/168.55 cnf('1',plain,[-(subset(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(7 ^ [], 8 ^ []))), -(subset(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))],start(6)).
% 171.62/168.55 cnf('1.1',plain,[subset(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), -(cartesian_product2(5 ^ [], 6 ^ []) = empty_set), 4 ^ [8 ^ [], 7 ^ [], 6 ^ [], 5 ^ []]],extension(11,bind([[_9137, _9063, _8988, _8912], [8 ^ [], 7 ^ [], 6 ^ [], 5 ^ []]]))).
% 171.62/168.55 cnf('1.1.1',plain,[cartesian_product2(5 ^ [], 6 ^ []) = empty_set, -(5 ^ [] = empty_set), -(6 ^ [] = empty_set)],extension(5,bind([[_8473, _8527], [5 ^ [], 6 ^ []]]))).
% 171.62/168.55 cnf('1.1.1.1',plain,[5 ^ [] = empty_set, -(empty_set = 5 ^ [])],extension(2,bind([[_5480, _5435], [empty_set, 5 ^ []]]))).
% 171.62/168.55 cnf('1.1.1.1.1',plain,[empty_set = 5 ^ [], -(empty(5 ^ [])), empty(empty_set)],extension(1,bind([[_6239, _6190], [5 ^ [], empty_set]]))).
% 171.62/168.55 cnf('1.1.1.1.1.1',plain,[empty(5 ^ [])],extension(8)).
% 171.62/168.55 cnf('1.1.1.1.1.2',plain,[-(empty(empty_set))],extension(12)).
% 171.62/168.55 cnf('1.1.1.2',plain,[6 ^ [] = empty_set, -(empty_set = 6 ^ [])],extension(2,bind([[_5480, _5435], [empty_set, 6 ^ []]]))).
% 171.62/168.55 cnf('1.1.1.2.1',plain,[empty_set = 6 ^ [], -(subset(6 ^ [], 8 ^ [])), subset(empty_set, 8 ^ []), 8 ^ [] = 8 ^ []],extension(13,bind([[_6576, _6509, _6642, _6707], [6 ^ [], empty_set, 8 ^ [], 8 ^ []]]))).
% 171.62/168.55 cnf('1.1.1.2.1.1',plain,[subset(6 ^ [], 8 ^ [])],extension(9)).
% 171.62/168.55 cnf('1.1.1.2.1.2',plain,[-(subset(empty_set, 8 ^ []))],extension(4,bind([[_9694], [8 ^ []]]))).
% 171.62/168.55 cnf('1.1.1.2.1.3',plain,[-(8 ^ [] = 8 ^ [])],extension(10,bind([[_5282], [8 ^ []]]))).
% 171.62/168.55 cnf('1.1.2',plain,[-(4 ^ [8 ^ [], 7 ^ [], 6 ^ [], 5 ^ []]), -(subset(6 ^ [], 8 ^ []))],extension(3,bind([[_9063, _8912, _8988, _9137], [7 ^ [], 5 ^ [], 6 ^ [], 8 ^ []]]))).
% 171.62/168.55 cnf('1.1.2.1',plain,[subset(6 ^ [], 8 ^ [])],extension(9)).
% 171.62/168.55 cnf('1.2',plain,[subset(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), -(cartesian_product2(6 ^ [], 5 ^ []) = empty_set), 4 ^ [7 ^ [], 8 ^ [], 5 ^ [], 6 ^ []]],extension(11,bind([[_9137, _9063, _8988, _8912], [7 ^ [], 8 ^ [], 5 ^ [], 6 ^ []]]))).
% 171.62/168.55 cnf('1.2.1',plain,[cartesian_product2(6 ^ [], 5 ^ []) = empty_set, -(6 ^ [] = empty_set), -(5 ^ [] = empty_set)],extension(5,bind([[_8473, _8527], [6 ^ [], 5 ^ []]]))).
% 171.62/168.55 cnf('1.2.1.1',plain,[6 ^ [] = empty_set, -(empty_set = 6 ^ [])],extension(2,bind([[_5480, _5435], [empty_set, 6 ^ []]]))).
% 171.62/168.55 cnf('1.2.1.1.1',plain,[empty_set = 6 ^ [], -(subset(6 ^ [], 8 ^ [])), subset(empty_set, 8 ^ []), 8 ^ [] = 8 ^ []],extension(13,bind([[_6576, _6509, _6642, _6707], [6 ^ [], empty_set, 8 ^ [], 8 ^ []]]))).
% 171.62/168.55 cnf('1.2.1.1.1.1',plain,[subset(6 ^ [], 8 ^ [])],extension(9)).
% 171.62/168.55 cnf('1.2.1.1.1.2',plain,[-(subset(empty_set, 8 ^ []))],extension(4,bind([[_9694], [8 ^ []]]))).
% 171.62/168.55 cnf('1.2.1.1.1.3',plain,[-(8 ^ [] = 8 ^ [])],extension(10,bind([[_5282], [8 ^ []]]))).
% 171.62/168.55 cnf('1.2.1.2',plain,[5 ^ [] = empty_set, -(empty_set = 5 ^ [])],extension(2,bind([[_5480, _5435], [empty_set, 5 ^ []]]))).
% 171.62/168.55 cnf('1.2.1.2.1',plain,[empty_set = 5 ^ [], -(empty(5 ^ [])), empty(empty_set)],extension(1,bind([[_6239, _6190], [5 ^ [], empty_set]]))).
% 171.62/168.55 cnf('1.2.1.2.1.1',plain,[empty(5 ^ [])],extension(8)).
% 171.62/168.55 cnf('1.2.1.2.1.2',plain,[-(empty(empty_set))],extension(12)).
% 171.62/168.55 cnf('1.2.2',plain,[-(4 ^ [7 ^ [], 8 ^ [], 5 ^ [], 6 ^ []]), -(subset(6 ^ [], 8 ^ []))],extension(7,bind([[_9137, _8988, _8912, _9063], [7 ^ [], 5 ^ [], 6 ^ [], 8 ^ []]]))).
% 171.62/168.55 cnf('1.2.2.1',plain,[subset(6 ^ [], 8 ^ [])],extension(9)).
% 171.62/168.55 %-----------------------------------------------------
% 171.62/168.56
% 171.62/168.56 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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