TSTP Solution File: SEU262+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU262+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 12:01:31 EDT 2022
% Result : Theorem 229.86s 221.86s
% Output : Proof 229.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU262+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n003.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
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 12:56:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 229.86/221.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 229.86/221.86 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 229.86/221.87
% 229.86/221.87 %-----------------------------------------------------
% 229.86/221.87 fof(dt_m2_relset_1, axiom, ! [_73230, _73233, _73236] : (relation_of2_as_subset(_73236, _73230, _73233) => element(_73236, powerset(cartesian_product2(_73230, _73233)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_m2_relset_1)).
% 229.86/221.87 fof(d3_tarski, axiom, ! [_73422, _73425] : (subset(_73422, _73425) <=> ! [_73443] : (in(_73443, _73422) => in(_73443, _73425))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 229.86/221.87 fof(d5_relat_1, axiom, ! [_73626] : (relation(_73626) => ! [_73641] : (_73641 = relation_rng(_73626) <=> ! [_73659] : (in(_73659, _73641) <=> ? [_73677] : in(ordered_pair(_73677, _73659), _73626)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_relat_1)).
% 229.86/221.87 fof(t3_subset, axiom, ! [_73924, _73927] : (element(_73924, powerset(_73927)) <=> subset(_73924, _73927)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_subset)).
% 229.86/221.87 fof(t106_zfmisc_1, axiom, ! [_74081, _74084, _74087, _74090] : (in(ordered_pair(_74081, _74084), cartesian_product2(_74087, _74090)) <=> in(_74081, _74087) & in(_74084, _74090)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t106_zfmisc_1)).
% 229.86/221.87 fof(d4_relat_1, axiom, ! [_74323] : (relation(_74323) => ! [_74338] : (_74338 = relation_dom(_74323) <=> ! [_74356] : (in(_74356, _74338) <=> ? [_74374] : in(ordered_pair(_74356, _74374), _74323)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_relat_1)).
% 229.86/221.87 fof(t12_relset_1, conjecture, ! [_74714, _74717, _74720] : (relation_of2_as_subset(_74720, _74714, _74717) => subset(relation_dom(_74720), _74714) & subset(relation_rng(_74720), _74717)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_relset_1)).
% 229.86/221.87 fof(cc1_relset_1, axiom, ! [_74939, _74942, _74945] : (element(_74945, powerset(cartesian_product2(_74939, _74942))) => relation(_74945)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_relset_1)).
% 229.86/221.87
% 229.86/221.87 cnf(1, plain, [relation_of2_as_subset(_26876, _26765, _26821), -(element(_26876, powerset(cartesian_product2(_26765, _26821))))], clausify(dt_m2_relset_1)).
% 229.86/221.87 cnf(2, plain, [-(2 ^ [_23343, _23287]), -(in(1 ^ [_23343, _23287], _23287))], clausify(d3_tarski)).
% 229.86/221.87 cnf(3, plain, [-(11 ^ [_24514, _24405]), in(_24654, _24514), -(in(ordered_pair(10 ^ [_24654, _24514, _24405], _24654), _24405))], clausify(d5_relat_1)).
% 229.86/221.87 cnf(4, plain, [element(_30843, powerset(_30890)), -(subset(_30843, _30890))], clausify(t3_subset)).
% 229.86/221.87 cnf(5, plain, [in(ordered_pair(_29515, _29582), cartesian_product2(_29648, _29713)), 22 ^ [_29713, _29648, _29582, _29515]], clausify(t106_zfmisc_1)).
% 229.86/221.87 cnf(6, plain, [-(subset(_23287, _23343)), 2 ^ [_23343, _23287]], clausify(d3_tarski)).
% 229.86/221.87 cnf(7, plain, [-(4 ^ [_23857, _23748]), in(_23997, _23857), -(in(ordered_pair(_23997, 3 ^ [_23997, _23857, _23748]), _23748))], clausify(d4_relat_1)).
% 229.86/221.87 cnf(8, plain, [-(22 ^ [_29713, _29648, _29582, _29515]), -(in(_29582, _29713))], clausify(t106_zfmisc_1)).
% 229.86/221.87 cnf(9, plain, [-(2 ^ [_23343, _23287]), in(1 ^ [_23343, _23287], _23343)], clausify(d3_tarski)).
% 229.86/221.87 cnf(10, plain, [-(16 ^ [_24405]), _24514 = relation_rng(_24405), 11 ^ [_24514, _24405]], clausify(d5_relat_1)).
% 229.86/221.87 cnf(11, plain, [subset(_23287, _23343), in(_23457, _23287), -(in(_23457, _23343))], clausify(d3_tarski)).
% 229.86/221.87 cnf(12, plain, [_20501 = _20550, -(relation_dom(_20501) = relation_dom(_20550))], theory(equality)).
% 229.86/221.87 cnf(13, plain, [-(9 ^ [_23748]), _23857 = relation_dom(_23748), 4 ^ [_23857, _23748]], clausify(d4_relat_1)).
% 229.86/221.87 cnf(14, plain, [subset(relation_dom(25 ^ []), 23 ^ []), subset(relation_rng(25 ^ []), 24 ^ [])], clausify(t12_relset_1)).
% 229.86/221.87 cnf(15, plain, [relation(_24405), 16 ^ [_24405]], clausify(d5_relat_1)).
% 229.86/221.87 cnf(16, plain, [element(_22665, powerset(cartesian_product2(_22558, _22612))), -(relation(_22665))], clausify(cc1_relset_1)).
% 229.86/221.87 cnf(17, plain, [-(22 ^ [_29713, _29648, _29582, _29515]), -(in(_29515, _29648))], clausify(t106_zfmisc_1)).
% 229.86/221.87 cnf(18, plain, [relation(_23748), 9 ^ [_23748]], clausify(d4_relat_1)).
% 229.86/221.87 cnf(19, plain, [_20830 = _20879, -(relation_rng(_20830) = relation_rng(_20879))], theory(equality)).
% 229.86/221.87 cnf(20, plain, [-(_13341 = _13341)], theory(equality)).
% 229.86/221.87 cnf(21, plain, [-(relation_of2_as_subset(25 ^ [], 23 ^ [], 24 ^ []))], clausify(t12_relset_1)).
% 229.86/221.87
% 229.86/221.87 cnf('1',plain,[subset(relation_dom(25 ^ []), 23 ^ []), subset(relation_rng(25 ^ []), 24 ^ [])],start(14)).
% 229.86/221.87 cnf('1.1',plain,[-(subset(relation_dom(25 ^ []), 23 ^ [])), 2 ^ [23 ^ [], relation_dom(25 ^ [])]],extension(6,bind([[_23343, _23287], [23 ^ [], relation_dom(25 ^ [])]]))).
% 229.86/221.87 cnf('1.1.1',plain,[-(2 ^ [23 ^ [], relation_dom(25 ^ [])]), -(in(1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ [])))],extension(2,bind([[_23343, _23287], [23 ^ [], relation_dom(25 ^ [])]]))).
% 229.86/221.87 cnf('1.1.1.1',plain,[in(1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ [])), -(4 ^ [relation_dom(25 ^ []), 25 ^ []]), -(in(ordered_pair(1 ^ [23 ^ [], relation_dom(25 ^ [])], 3 ^ [1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ []), 25 ^ []]), 25 ^ []))],extension(7,bind([[_23997, _23857, _23748], [1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ []), 25 ^ []]]))).
% 229.86/221.87 cnf('1.1.1.1.1',plain,[4 ^ [relation_dom(25 ^ []), 25 ^ []], -(9 ^ [25 ^ []]), relation_dom(25 ^ []) = relation_dom(25 ^ [])],extension(13,bind([[_23857, _23748], [relation_dom(25 ^ []), 25 ^ []]]))).
% 229.86/221.87 cnf('1.1.1.1.1.1',plain,[9 ^ [25 ^ []], relation(25 ^ [])],extension(18,bind([[_23748], [25 ^ []]]))).
% 229.86/221.87 cnf('1.1.1.1.1.1.1',plain,[-(relation(25 ^ [])), element(25 ^ [], powerset(cartesian_product2(23 ^ [], 24 ^ [])))],extension(16,bind([[_22665, _22558, _22612], [25 ^ [], 23 ^ [], 24 ^ []]]))).
% 229.86/221.87 cnf('1.1.1.1.1.1.1.1',plain,[-(element(25 ^ [], powerset(cartesian_product2(23 ^ [], 24 ^ [])))), relation_of2_as_subset(25 ^ [], 23 ^ [], 24 ^ [])],extension(1,bind([[_26876, _26765, _26821], [25 ^ [], 23 ^ [], 24 ^ []]]))).
% 229.86/221.87 cnf('1.1.1.1.1.1.1.1.1',plain,[-(relation_of2_as_subset(25 ^ [], 23 ^ [], 24 ^ []))],extension(21)).
% 229.86/221.87 cnf('1.1.1.1.1.2',plain,[-(relation_dom(25 ^ []) = relation_dom(25 ^ [])), 25 ^ [] = 25 ^ []],extension(12,bind([[_20501, _20550], [25 ^ [], 25 ^ []]]))).
% 229.86/221.87 cnf('1.1.1.1.1.2.1',plain,[-(25 ^ [] = 25 ^ [])],extension(20,bind([[_13341], [25 ^ []]]))).
% 229.86/221.87 cnf('1.1.1.1.2',plain,[in(ordered_pair(1 ^ [23 ^ [], relation_dom(25 ^ [])], 3 ^ [1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ []), 25 ^ []]), 25 ^ []), subset(25 ^ [], cartesian_product2(23 ^ [], 24 ^ [])), -(in(ordered_pair(1 ^ [23 ^ [], relation_dom(25 ^ [])], 3 ^ [1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ []), 25 ^ []]), cartesian_product2(23 ^ [], 24 ^ [])))],extension(11,bind([[_23287, _23457, _23343], [25 ^ [], ordered_pair(1 ^ [23 ^ [], relation_dom(25 ^ [])], 3 ^ [1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ []), 25 ^ []]), cartesian_product2(23 ^ [], 24 ^ [])]]))).
% 229.86/221.87 cnf('1.1.1.1.2.1',plain,[-(subset(25 ^ [], cartesian_product2(23 ^ [], 24 ^ []))), element(25 ^ [], powerset(cartesian_product2(23 ^ [], 24 ^ [])))],extension(4,bind([[_30843, _30890], [25 ^ [], cartesian_product2(23 ^ [], 24 ^ [])]]))).
% 229.86/221.87 cnf('1.1.1.1.2.1.1',plain,[-(element(25 ^ [], powerset(cartesian_product2(23 ^ [], 24 ^ [])))), relation_of2_as_subset(25 ^ [], 23 ^ [], 24 ^ [])],extension(1,bind([[_26876, _26765, _26821], [25 ^ [], 23 ^ [], 24 ^ []]]))).
% 229.86/221.87 cnf('1.1.1.1.2.1.1.1',plain,[-(relation_of2_as_subset(25 ^ [], 23 ^ [], 24 ^ []))],extension(21)).
% 229.86/221.87 cnf('1.1.1.1.2.2',plain,[in(ordered_pair(1 ^ [23 ^ [], relation_dom(25 ^ [])], 3 ^ [1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ []), 25 ^ []]), cartesian_product2(23 ^ [], 24 ^ [])), 22 ^ [24 ^ [], 23 ^ [], 3 ^ [1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ []), 25 ^ []], 1 ^ [23 ^ [], relation_dom(25 ^ [])]]],extension(5,bind([[_29713, _29648, _29582, _29515], [24 ^ [], 23 ^ [], 3 ^ [1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ []), 25 ^ []], 1 ^ [23 ^ [], relation_dom(25 ^ [])]]]))).
% 229.86/221.87 cnf('1.1.1.1.2.2.1',plain,[-(22 ^ [24 ^ [], 23 ^ [], 3 ^ [1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ []), 25 ^ []], 1 ^ [23 ^ [], relation_dom(25 ^ [])]]), -(in(1 ^ [23 ^ [], relation_dom(25 ^ [])], 23 ^ []))],extension(17,bind([[_29713, _29582, _29515, _29648], [24 ^ [], 3 ^ [1 ^ [23 ^ [], relation_dom(25 ^ [])], relation_dom(25 ^ []), 25 ^ []], 1 ^ [23 ^ [], relation_dom(25 ^ [])], 23 ^ []]]))).
% 229.86/221.87 cnf('1.1.1.1.2.2.1.1',plain,[in(1 ^ [23 ^ [], relation_dom(25 ^ [])], 23 ^ []), -(2 ^ [23 ^ [], relation_dom(25 ^ [])])],extension(9,bind([[_23343, _23287], [23 ^ [], relation_dom(25 ^ [])]]))).
% 229.86/221.87 cnf('1.1.1.1.2.2.1.1.1',plain,[2 ^ [23 ^ [], relation_dom(25 ^ [])]],reduction('1.1')).
% 229.86/221.87 cnf('1.2',plain,[-(subset(relation_rng(25 ^ []), 24 ^ [])), 2 ^ [24 ^ [], relation_rng(25 ^ [])]],extension(6,bind([[_23343, _23287], [24 ^ [], relation_rng(25 ^ [])]]))).
% 229.86/221.87 cnf('1.2.1',plain,[-(2 ^ [24 ^ [], relation_rng(25 ^ [])]), -(in(1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ [])))],extension(2,bind([[_23343, _23287], [24 ^ [], relation_rng(25 ^ [])]]))).
% 229.86/221.87 cnf('1.2.1.1',plain,[in(1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ [])), -(11 ^ [relation_rng(25 ^ []), 25 ^ []]), -(in(ordered_pair(10 ^ [1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ []), 25 ^ []], 1 ^ [24 ^ [], relation_rng(25 ^ [])]), 25 ^ []))],extension(3,bind([[_24514, _24654, _24405], [relation_rng(25 ^ []), 1 ^ [24 ^ [], relation_rng(25 ^ [])], 25 ^ []]]))).
% 229.86/221.87 cnf('1.2.1.1.1',plain,[11 ^ [relation_rng(25 ^ []), 25 ^ []], -(16 ^ [25 ^ []]), relation_rng(25 ^ []) = relation_rng(25 ^ [])],extension(10,bind([[_24514, _24405], [relation_rng(25 ^ []), 25 ^ []]]))).
% 229.86/221.87 cnf('1.2.1.1.1.1',plain,[16 ^ [25 ^ []], relation(25 ^ [])],extension(15,bind([[_24405], [25 ^ []]]))).
% 229.86/221.87 cnf('1.2.1.1.1.1.1',plain,[-(relation(25 ^ [])), element(25 ^ [], powerset(cartesian_product2(23 ^ [], 24 ^ [])))],extension(16,bind([[_22665, _22558, _22612], [25 ^ [], 23 ^ [], 24 ^ []]]))).
% 229.86/221.87 cnf('1.2.1.1.1.1.1.1',plain,[-(element(25 ^ [], powerset(cartesian_product2(23 ^ [], 24 ^ [])))), relation_of2_as_subset(25 ^ [], 23 ^ [], 24 ^ [])],extension(1,bind([[_26876, _26765, _26821], [25 ^ [], 23 ^ [], 24 ^ []]]))).
% 229.86/221.87 cnf('1.2.1.1.1.1.1.1.1',plain,[-(relation_of2_as_subset(25 ^ [], 23 ^ [], 24 ^ []))],extension(21)).
% 229.86/221.87 cnf('1.2.1.1.1.2',plain,[-(relation_rng(25 ^ []) = relation_rng(25 ^ [])), 25 ^ [] = 25 ^ []],extension(19,bind([[_20830, _20879], [25 ^ [], 25 ^ []]]))).
% 229.86/221.87 cnf('1.2.1.1.1.2.1',plain,[-(25 ^ [] = 25 ^ [])],extension(20,bind([[_13341], [25 ^ []]]))).
% 229.86/221.87 cnf('1.2.1.1.2',plain,[in(ordered_pair(10 ^ [1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ []), 25 ^ []], 1 ^ [24 ^ [], relation_rng(25 ^ [])]), 25 ^ []), subset(25 ^ [], cartesian_product2(23 ^ [], 24 ^ [])), -(in(ordered_pair(10 ^ [1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ []), 25 ^ []], 1 ^ [24 ^ [], relation_rng(25 ^ [])]), cartesian_product2(23 ^ [], 24 ^ [])))],extension(11,bind([[_23287, _23457, _23343], [25 ^ [], ordered_pair(10 ^ [1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ []), 25 ^ []], 1 ^ [24 ^ [], relation_rng(25 ^ [])]), cartesian_product2(23 ^ [], 24 ^ [])]]))).
% 229.86/221.87 cnf('1.2.1.1.2.1',plain,[-(subset(25 ^ [], cartesian_product2(23 ^ [], 24 ^ []))), element(25 ^ [], powerset(cartesian_product2(23 ^ [], 24 ^ [])))],extension(4,bind([[_30843, _30890], [25 ^ [], cartesian_product2(23 ^ [], 24 ^ [])]]))).
% 229.86/221.87 cnf('1.2.1.1.2.1.1',plain,[-(element(25 ^ [], powerset(cartesian_product2(23 ^ [], 24 ^ [])))), relation_of2_as_subset(25 ^ [], 23 ^ [], 24 ^ [])],extension(1,bind([[_26876, _26765, _26821], [25 ^ [], 23 ^ [], 24 ^ []]]))).
% 229.86/221.87 cnf('1.2.1.1.2.1.1.1',plain,[-(relation_of2_as_subset(25 ^ [], 23 ^ [], 24 ^ []))],extension(21)).
% 229.86/221.87 cnf('1.2.1.1.2.2',plain,[in(ordered_pair(10 ^ [1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ []), 25 ^ []], 1 ^ [24 ^ [], relation_rng(25 ^ [])]), cartesian_product2(23 ^ [], 24 ^ [])), 22 ^ [24 ^ [], 23 ^ [], 1 ^ [24 ^ [], relation_rng(25 ^ [])], 10 ^ [1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ []), 25 ^ []]]],extension(5,bind([[_29713, _29648, _29582, _29515], [24 ^ [], 23 ^ [], 1 ^ [24 ^ [], relation_rng(25 ^ [])], 10 ^ [1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ []), 25 ^ []]]]))).
% 229.86/221.87 cnf('1.2.1.1.2.2.1',plain,[-(22 ^ [24 ^ [], 23 ^ [], 1 ^ [24 ^ [], relation_rng(25 ^ [])], 10 ^ [1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ []), 25 ^ []]]), -(in(1 ^ [24 ^ [], relation_rng(25 ^ [])], 24 ^ []))],extension(8,bind([[_29648, _29515, _29582, _29713], [23 ^ [], 10 ^ [1 ^ [24 ^ [], relation_rng(25 ^ [])], relation_rng(25 ^ []), 25 ^ []], 1 ^ [24 ^ [], relation_rng(25 ^ [])], 24 ^ []]]))).
% 229.86/221.87 cnf('1.2.1.1.2.2.1.1',plain,[in(1 ^ [24 ^ [], relation_rng(25 ^ [])], 24 ^ []), -(2 ^ [24 ^ [], relation_rng(25 ^ [])])],extension(9,bind([[_23343, _23287], [24 ^ [], relation_rng(25 ^ [])]]))).
% 229.86/221.87 cnf('1.2.1.1.2.2.1.1.1',plain,[2 ^ [24 ^ [], relation_rng(25 ^ [])]],reduction('1.2')).
% 229.86/221.87 %-----------------------------------------------------
% 229.94/221.87
% 229.94/221.87 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------