TSTP Solution File: SEU387+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% 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 12:02:27 EDT 2022
% Result : Theorem 229.28s 221.89s
% Output : Proof 229.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n022.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 Jun 19 09:59:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 229.28/221.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 229.28/221.90 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 229.28/221.90
% 229.28/221.90 %-----------------------------------------------------
% 229.28/221.90 fof(t2_yellow19, conjecture, ! [_233326] : (~ empty(_233326) => ! [_233343] : (~ empty(_233343) & filtered_subset(_233343, boole_POSet(_233326)) & upper_relstr_subset(_233343, boole_POSet(_233326)) & proper_element(_233343, powerset(the_carrier(boole_POSet(_233326)))) & element(_233343, powerset(the_carrier(boole_POSet(_233326)))) => ! [_233432] : ~ (in(_233432, _233343) & empty(_233432)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_yellow19)).
% 229.28/221.90 fof(fc2_waybel_7, axiom, ! [_233761] : (~ empty(_233761) => ~ empty_carrier(boole_POSet(_233761)) & ~ trivial_carrier(boole_POSet(_233761)) & strict_rel_str(boole_POSet(_233761)) & reflexive_relstr(boole_POSet(_233761)) & transitive_relstr(boole_POSet(_233761)) & antisymmetric_relstr(boole_POSet(_233761)) & lower_bounded_relstr(boole_POSet(_233761)) & upper_bounded_relstr(boole_POSet(_233761)) & bounded_relstr(boole_POSet(_233761)) & up_complete_relstr(boole_POSet(_233761)) & join_complete_relstr(boole_POSet(_233761)) & ~ v1_yellow_3(boole_POSet(_233761)) & distributive_relstr(boole_POSet(_233761)) & heyting_relstr(boole_POSet(_233761)) & complemented_relstr(boole_POSet(_233761)) & boolean_relstr(boole_POSet(_233761)) & with_suprema_relstr(boole_POSet(_233761)) & with_infima_relstr(boole_POSet(_233761)) & complete_relstr(boole_POSet(_233761))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_waybel_7)).
% 229.28/221.90 fof(fc1_waybel_7, axiom, ! [_234475] : (~ empty_carrier(boole_POSet(_234475)) & strict_rel_str(boole_POSet(_234475)) & reflexive_relstr(boole_POSet(_234475)) & transitive_relstr(boole_POSet(_234475)) & antisymmetric_relstr(boole_POSet(_234475)) & lower_bounded_relstr(boole_POSet(_234475)) & upper_bounded_relstr(boole_POSet(_234475)) & bounded_relstr(boole_POSet(_234475)) & up_complete_relstr(boole_POSet(_234475)) & join_complete_relstr(boole_POSet(_234475)) & ~ v1_yellow_3(boole_POSet(_234475)) & distributive_relstr(boole_POSet(_234475)) & heyting_relstr(boole_POSet(_234475)) & complemented_relstr(boole_POSet(_234475)) & boolean_relstr(boole_POSet(_234475)) & with_suprema_relstr(boole_POSet(_234475)) & with_infima_relstr(boole_POSet(_234475)) & complete_relstr(boole_POSet(_234475))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_waybel_7)).
% 229.28/221.90 fof(fc4_relat_1, axiom, empty(empty_set) & relation(empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_relat_1)).
% 229.28/221.90 fof(t7_boole, axiom, ! [_235231, _235234] : ~ (in(_235231, _235234) & empty(_235234)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_boole)).
% 229.28/221.90 fof(fc8_yellow_1, axiom, ! [_235413] : (~ empty_carrier(boole_POSet(_235413)) & strict_rel_str(boole_POSet(_235413)) & reflexive_relstr(boole_POSet(_235413)) & transitive_relstr(boole_POSet(_235413)) & antisymmetric_relstr(boole_POSet(_235413)) & lower_bounded_relstr(boole_POSet(_235413)) & upper_bounded_relstr(boole_POSet(_235413)) & bounded_relstr(boole_POSet(_235413)) & with_suprema_relstr(boole_POSet(_235413)) & with_infima_relstr(boole_POSet(_235413)) & complete_relstr(boole_POSet(_235413))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc8_yellow_1)).
% 229.28/221.90 fof(t18_yellow_1, axiom, ! [_235832] : bottom_of_relstr(boole_POSet(_235832)) = empty_set, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t18_yellow_1)).
% 229.28/221.90 fof(free_g1_orders_2, axiom, ! [_235960, _235963] : (relation_of2(_235963, _235960, _235960) => ! [_235984, _235987] : (rel_str_of(_235960, _235963) = rel_str_of(_235984, _235987) => _235960 = _235984 & _235963 = _235987)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', free_g1_orders_2)).
% 229.28/221.90 fof(fc7_yellow_1, axiom, ! [_236298] : (~ empty_carrier(boole_POSet(_236298)) & strict_rel_str(boole_POSet(_236298)) & reflexive_relstr(boole_POSet(_236298)) & transitive_relstr(boole_POSet(_236298)) & antisymmetric_relstr(boole_POSet(_236298))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc7_yellow_1)).
% 229.28/221.90 fof(dt_k3_yellow_1, axiom, ! [_236554] : (strict_rel_str(boole_POSet(_236554)) & rel_str(boole_POSet(_236554))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_yellow_1)).
% 229.28/221.90 fof(existence_m1_relset_1, axiom, ! [_236891, _236894] : ? [_236902] : relation_of2(_236902, _236891, _236894), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m1_relset_1)).
% 229.28/221.90 fof(t8_waybel_7, axiom, ! [_237123] : (~ empty_carrier(_237123) & reflexive_relstr(_237123) & transitive_relstr(_237123) & antisymmetric_relstr(_237123) & lower_bounded_relstr(_237123) & rel_str(_237123) => ! [_237175] : (~ empty(_237175) & filtered_subset(_237175, _237123) & upper_relstr_subset(_237175, _237123) & element(_237175, powerset(the_carrier(_237123))) => (proper_element(_237175, powerset(the_carrier(_237123))) <=> ~ in(bottom_of_relstr(_237123), _237175)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_waybel_7)).
% 229.28/221.90 fof(t8_boole, axiom, ! [_237587, _237590] : ~ (empty(_237587) & (! _237587) = _237590 & empty(_237590)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_boole)).
% 229.28/221.90
% 229.28/221.90 cnf(1, plain, [-(filtered_subset(51 ^ [], boole_POSet(50 ^ [])))], clausify(t2_yellow19)).
% 229.28/221.90 cnf(2, plain, [-(18 ^ [_91314]), -(reflexive_relstr(boole_POSet(_91314)))], clausify(fc2_waybel_7)).
% 229.28/221.90 cnf(3, plain, [-(empty(_91314)), 18 ^ [_91314]], clausify(fc2_waybel_7)).
% 229.28/221.90 cnf(4, plain, [empty_carrier(boole_POSet(_89816))], clausify(fc1_waybel_7)).
% 229.28/221.90 cnf(5, plain, [_56121 = _56166, -(_56166 = _56121)], theory(equality)).
% 229.28/221.90 cnf(6, plain, [-(empty(empty_set))], clausify(fc4_relat_1)).
% 229.28/221.90 cnf(7, plain, [empty(50 ^ [])], clausify(t2_yellow19)).
% 229.28/221.90 cnf(8, plain, [-(18 ^ [_91314]), -(lower_bounded_relstr(boole_POSet(_91314)))], clausify(fc2_waybel_7)).
% 229.28/221.90 cnf(9, plain, [in(_111693, _111739), empty(_111739)], clausify(t7_boole)).
% 229.28/221.90 cnf(10, plain, [-(_56400 = _56511), _56400 = _56456, _56456 = _56511], theory(equality)).
% 229.28/221.90 cnf(11, plain, [-(transitive_relstr(boole_POSet(_94069)))], clausify(fc8_yellow_1)).
% 229.28/221.90 cnf(12, plain, [-(bottom_of_relstr(boole_POSet(_109262)) = empty_set)], clausify(t18_yellow_1)).
% 229.28/221.90 cnf(13, plain, [relation_of2(_96361, _96287, _96287), rel_str_of(_96287, _96361) = rel_str_of(_96533, _96598), 19 ^ [_96598, _96533, _96361, _96287]], clausify(free_g1_orders_2)).
% 229.28/221.90 cnf(14, plain, [-(upper_relstr_subset(_70009, _70140)), upper_relstr_subset(_69942, _70075), _69942 = _70009, _70075 = _70140], theory(equality)).
% 229.28/221.90 cnf(15, plain, [-(proper_element(51 ^ [], powerset(the_carrier(boole_POSet(50 ^ [])))))], clausify(t2_yellow19)).
% 229.28/221.90 cnf(16, plain, [-(in(52 ^ [], 51 ^ []))], clausify(t2_yellow19)).
% 229.28/221.90 cnf(17, plain, [-(antisymmetric_relstr(boole_POSet(_93577)))], clausify(fc7_yellow_1)).
% 229.28/221.90 cnf(18, plain, [-(rel_str(boole_POSet(_85732)))], clausify(dt_k3_yellow_1)).
% 229.28/221.90 cnf(19, plain, [-(element(51 ^ [], powerset(the_carrier(boole_POSet(50 ^ [])))))], clausify(t2_yellow19)).
% 229.28/221.90 cnf(20, plain, [-(empty(52 ^ []))], clausify(t2_yellow19)).
% 229.28/221.90 cnf(21, plain, [-(upper_relstr_subset(51 ^ [], boole_POSet(50 ^ [])))], clausify(t2_yellow19)).
% 229.28/221.90 cnf(22, plain, [-(19 ^ [_96598, _96533, _96361, _96287]), -(_96287 = _96533)], clausify(free_g1_orders_2)).
% 229.28/221.90 cnf(23, plain, [_72068 = _72117, -(boole_POSet(_72068) = boole_POSet(_72117))], theory(equality)).
% 229.28/221.90 cnf(24, plain, [-(in(_62139, _62270)), in(_62072, _62205), _62072 = _62139, _62205 = _62270], theory(equality)).
% 229.28/221.90 cnf(25, plain, [-(relation_of2(15 ^ [_87884, _87839], _87839, _87884))], clausify(existence_m1_relset_1)).
% 229.28/221.90 cnf(26, plain, [-(_55968 = _55968)], theory(equality)).
% 229.28/221.90 cnf(27, plain, [-(49 ^ [_112813, _112380]), proper_element(_112813, powerset(the_carrier(_112380))), in(bottom_of_relstr(_112380), _112813)], clausify(t8_waybel_7)).
% 229.28/221.90 cnf(28, plain, [empty(_112000), -(_112000 = _112053), empty(_112053)], clausify(t8_boole)).
% 229.28/221.90 cnf(29, plain, [rel_str(_112380), lower_bounded_relstr(_112380), antisymmetric_relstr(_112380), transitive_relstr(_112380), reflexive_relstr(_112380), -(empty_carrier(_112380)), element(_112813, powerset(the_carrier(_112380))), upper_relstr_subset(_112813, _112380), filtered_subset(_112813, _112380), -(empty(_112813)), 49 ^ [_112813, _112380]], clausify(t8_waybel_7)).
% 229.28/221.90
% 229.28/221.90 cnf('1',plain,[-(proper_element(51 ^ [], powerset(the_carrier(boole_POSet(50 ^ [])))))],start(15)).
% 229.28/221.90 cnf('1.1',plain,[proper_element(51 ^ [], powerset(the_carrier(boole_POSet(50 ^ [])))), -(49 ^ [51 ^ [], boole_POSet(50 ^ [])]), in(bottom_of_relstr(boole_POSet(50 ^ [])), 51 ^ [])],extension(27,bind([[_112380, _112813], [boole_POSet(50 ^ []), 51 ^ []]]))).
% 229.28/221.90 cnf('1.1.1',plain,[49 ^ [51 ^ [], boole_POSet(50 ^ [])], rel_str(boole_POSet(50 ^ [])), lower_bounded_relstr(boole_POSet(50 ^ [])), antisymmetric_relstr(boole_POSet(50 ^ [])), transitive_relstr(boole_POSet(50 ^ [])), reflexive_relstr(boole_POSet(50 ^ [])), -(empty_carrier(boole_POSet(50 ^ []))), element(51 ^ [], powerset(the_carrier(boole_POSet(50 ^ [])))), upper_relstr_subset(51 ^ [], boole_POSet(50 ^ [])), filtered_subset(51 ^ [], boole_POSet(50 ^ [])), -(empty(51 ^ []))],extension(29,bind([[_112380, _112813], [boole_POSet(50 ^ []), 51 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.1',plain,[-(rel_str(boole_POSet(50 ^ [])))],extension(18,bind([[_85732], [50 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.2',plain,[-(lower_bounded_relstr(boole_POSet(50 ^ []))), -(18 ^ [50 ^ []])],extension(8,bind([[_91314], [50 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.2.1',plain,[18 ^ [50 ^ []], -(empty(50 ^ []))],extension(3,bind([[_91314], [50 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.2.1.1',plain,[empty(50 ^ [])],extension(7)).
% 229.28/221.90 cnf('1.1.1.3',plain,[-(antisymmetric_relstr(boole_POSet(50 ^ [])))],extension(17,bind([[_93577], [50 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.4',plain,[-(transitive_relstr(boole_POSet(50 ^ [])))],extension(11,bind([[_94069], [50 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.5',plain,[-(reflexive_relstr(boole_POSet(50 ^ []))), -(18 ^ [50 ^ []])],extension(2,bind([[_91314], [50 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.5.1',plain,[18 ^ [50 ^ []], -(empty(50 ^ []))],extension(3,bind([[_91314], [50 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.5.1.1',plain,[empty(50 ^ [])],extension(7)).
% 229.28/221.90 cnf('1.1.1.6',plain,[empty_carrier(boole_POSet(50 ^ []))],extension(4,bind([[_89816], [50 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.7',plain,[-(element(51 ^ [], powerset(the_carrier(boole_POSet(50 ^ [])))))],extension(19)).
% 229.28/221.90 cnf('1.1.1.8',plain,[-(upper_relstr_subset(51 ^ [], boole_POSet(50 ^ []))), upper_relstr_subset(51 ^ [], boole_POSet(50 ^ [])), 51 ^ [] = 51 ^ [], boole_POSet(50 ^ []) = boole_POSet(50 ^ [])],extension(14,bind([[_69942, _70009, _70075, _70140], [51 ^ [], 51 ^ [], boole_POSet(50 ^ []), boole_POSet(50 ^ [])]]))).
% 229.28/221.90 cnf('1.1.1.8.1',plain,[-(upper_relstr_subset(51 ^ [], boole_POSet(50 ^ []))), upper_relstr_subset(51 ^ [], boole_POSet(50 ^ [])), 51 ^ [] = 51 ^ [], boole_POSet(50 ^ []) = boole_POSet(50 ^ [])],extension(14,bind([[_69942, _70009, _70075, _70140], [51 ^ [], 51 ^ [], boole_POSet(50 ^ []), boole_POSet(50 ^ [])]]))).
% 229.28/221.90 cnf('1.1.1.8.1.1',plain,[-(upper_relstr_subset(51 ^ [], boole_POSet(50 ^ [])))],extension(21)).
% 229.28/221.90 cnf('1.1.1.8.1.2',plain,[-(51 ^ [] = 51 ^ [])],extension(26,bind([[_55968], [51 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.8.1.3',plain,[-(boole_POSet(50 ^ []) = boole_POSet(50 ^ []))],extension(26,bind([[_55968], [boole_POSet(50 ^ [])]]))).
% 229.28/221.90 cnf('1.1.1.8.2',plain,[-(51 ^ [] = 51 ^ [])],extension(26,bind([[_55968], [51 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.8.3',plain,[-(boole_POSet(50 ^ []) = boole_POSet(50 ^ [])), 50 ^ [] = 50 ^ []],extension(23,bind([[_72068, _72117], [50 ^ [], 50 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.8.3.1',plain,[-(50 ^ [] = 50 ^ [])],extension(26,bind([[_55968], [50 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.9',plain,[-(filtered_subset(51 ^ [], boole_POSet(50 ^ [])))],extension(1)).
% 229.28/221.90 cnf('1.1.1.10',plain,[empty(51 ^ []), in(52 ^ [], 51 ^ [])],extension(9,bind([[_111693, _111739], [52 ^ [], 51 ^ []]]))).
% 229.28/221.90 cnf('1.1.1.10.1',plain,[-(in(52 ^ [], 51 ^ []))],extension(16)).
% 229.28/221.90 cnf('1.1.2',plain,[-(in(bottom_of_relstr(boole_POSet(50 ^ [])), 51 ^ [])), in(52 ^ [], 51 ^ []), 52 ^ [] = bottom_of_relstr(boole_POSet(50 ^ [])), 51 ^ [] = 51 ^ []],extension(24,bind([[_62072, _62139, _62205, _62270], [52 ^ [], bottom_of_relstr(boole_POSet(50 ^ [])), 51 ^ [], 51 ^ []]]))).
% 229.28/221.90 cnf('1.1.2.1',plain,[-(in(52 ^ [], 51 ^ []))],extension(16)).
% 229.28/221.90 cnf('1.1.2.2',plain,[-(52 ^ [] = bottom_of_relstr(boole_POSet(50 ^ []))), bottom_of_relstr(boole_POSet(50 ^ [])) = 52 ^ []],extension(5,bind([[_56121, _56166], [bottom_of_relstr(boole_POSet(50 ^ [])), 52 ^ []]]))).
% 229.28/221.90 cnf('1.1.2.2.1',plain,[-(bottom_of_relstr(boole_POSet(50 ^ [])) = 52 ^ []), bottom_of_relstr(boole_POSet(50 ^ [])) = empty_set, empty_set = 52 ^ []],extension(10,bind([[_56400, _56456, _56511], [bottom_of_relstr(boole_POSet(50 ^ [])), empty_set, 52 ^ []]]))).
% 229.28/221.90 cnf('1.1.2.2.1.1',plain,[-(bottom_of_relstr(boole_POSet(50 ^ [])) = empty_set)],extension(12,bind([[_109262], [50 ^ []]]))).
% 229.28/221.90 cnf('1.1.2.2.1.2',plain,[-(empty_set = 52 ^ []), empty(empty_set), empty(52 ^ [])],extension(28,bind([[_112000, _112053], [empty_set, 52 ^ []]]))).
% 229.28/221.90 cnf('1.1.2.2.1.2.1',plain,[-(empty(empty_set))],extension(6)).
% 229.28/221.90 cnf('1.1.2.2.1.2.2',plain,[-(empty(52 ^ []))],extension(20)).
% 229.28/221.90 cnf('1.1.2.3',plain,[-(51 ^ [] = 51 ^ []), -(19 ^ [15 ^ [51 ^ [], 51 ^ []], 51 ^ [], 15 ^ [51 ^ [], 51 ^ []], 51 ^ []])],extension(22,bind([[_96598, _96533, _96361, _96287], [15 ^ [51 ^ [], 51 ^ []], 51 ^ [], 15 ^ [51 ^ [], 51 ^ []], 51 ^ []]]))).
% 229.28/221.90 cnf('1.1.2.3.1',plain,[19 ^ [15 ^ [51 ^ [], 51 ^ []], 51 ^ [], 15 ^ [51 ^ [], 51 ^ []], 51 ^ []], relation_of2(15 ^ [51 ^ [], 51 ^ []], 51 ^ [], 51 ^ []), rel_str_of(51 ^ [], 15 ^ [51 ^ [], 51 ^ []]) = rel_str_of(51 ^ [], 15 ^ [51 ^ [], 51 ^ []])],extension(13,bind([[_96287, _96361, _96533, _96598], [51 ^ [], 15 ^ [51 ^ [], 51 ^ []], 51 ^ [], 15 ^ [51 ^ [], 51 ^ []]]]))).
% 229.28/221.90 cnf('1.1.2.3.1.1',plain,[-(relation_of2(15 ^ [51 ^ [], 51 ^ []], 51 ^ [], 51 ^ []))],extension(25,bind([[_87839, _87884], [51 ^ [], 51 ^ []]]))).
% 229.28/221.90 cnf('1.1.2.3.1.2',plain,[-(rel_str_of(51 ^ [], 15 ^ [51 ^ [], 51 ^ []]) = rel_str_of(51 ^ [], 15 ^ [51 ^ [], 51 ^ []]))],extension(26,bind([[_55968], [rel_str_of(51 ^ [], 15 ^ [51 ^ [], 51 ^ []])]]))).
% 229.28/221.90 %-----------------------------------------------------
% 229.28/221.91
% 229.28/221.91 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------