TSTP Solution File: SEU401+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU401+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 12:02:33 EDT 2022
% Result : Theorem 160.04s 154.95s
% Output : Proof 160.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU401+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n028.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 09:53:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 160.04/154.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 160.04/154.96 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 160.04/154.96
% 160.04/154.96 %-----------------------------------------------------
% 160.04/154.96 fof(s2_xboole_0__e6_39_3__yellow19__1, conjecture, ! [_179008, _179011, _179014] : (~ empty_carrier(_179008) & topological_space(_179008) & top_str(_179008) & ~ empty_carrier(_179011) & transitive_relstr(_179011) & directed_relstr(_179011) & net_str(_179011, _179008) => ! [_179078, _179081, _179084] : (! [_179092] : (in(_179092, _179081) <=> in(_179092, the_carrier(_179011)) & ? [_179124] : (netstr_induced_subset(_179124, _179008, _179011) & ? [_179145] : (element(_179145, the_carrier(_179011)) & _179078 = topstr_closure(_179008, _179124) & _179092 = _179145 & _179124 = relation_rng_as_subset(the_carrier(subnetstr_of_element(_179008, _179011, _179145)), the_carrier(_179008), the_mapping(_179008, subnetstr_of_element(_179008, _179011, _179145)))))) & ! [_179092] : (in(_179092, _179084) <=> in(_179092, the_carrier(_179011)) & ? [_179268] : (netstr_induced_subset(_179268, _179008, _179011) & ? [_179289] : (element(_179289, the_carrier(_179011)) & _179078 = topstr_closure(_179008, _179268) & _179092 = _179289 & _179268 = relation_rng_as_subset(the_carrier(subnetstr_of_element(_179008, _179011, _179289)), the_carrier(_179008), the_mapping(_179008, subnetstr_of_element(_179008, _179011, _179289)))))) => _179081 = _179084)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 fof(t2_tarski, axiom, ! [_180520, _180523] : (! [_180531] : (in(_180531, _180520) <=> in(_180531, _180523)) => _180520 = _180523), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_tarski)).
% 160.04/154.96
% 160.04/154.96 cnf(1, plain, [26 ^ [] = 27 ^ []], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(2, plain, [in(_129092, 26 ^ []), -(in(_129092, the_carrier(23 ^ [])))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(3, plain, [in(_129092, 26 ^ []), -(netstr_induced_subset(28 ^ [_129092], 22 ^ [], 23 ^ []))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(4, plain, [in(_129092, 26 ^ []), -(element(29 ^ [_129092], the_carrier(23 ^ [])))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(5, plain, [in(_129092, 26 ^ []), -(25 ^ [] = topstr_closure(22 ^ [], 28 ^ [_129092]))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(6, plain, [in(_129092, 26 ^ []), -(_129092 = 29 ^ [_129092])], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(7, plain, [in(_129092, 26 ^ []), -(28 ^ [_129092] = relation_rng_as_subset(the_carrier(subnetstr_of_element(22 ^ [], 23 ^ [], 29 ^ [_129092])), the_carrier(22 ^ []), the_mapping(22 ^ [], subnetstr_of_element(22 ^ [], 23 ^ [], 29 ^ [_129092]))))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(8, plain, [-(in(_129092, 26 ^ [])), in(_129092, the_carrier(23 ^ [])), netstr_induced_subset(_129109, 22 ^ [], 23 ^ []), element(_129121, the_carrier(23 ^ [])), 25 ^ [] = topstr_closure(22 ^ [], _129109), _129092 = _129121, _129109 = relation_rng_as_subset(the_carrier(subnetstr_of_element(22 ^ [], 23 ^ [], _129121)), the_carrier(22 ^ []), the_mapping(22 ^ [], subnetstr_of_element(22 ^ [], 23 ^ [], _129121)))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(9, plain, [in(_129167, 27 ^ []), -(in(_129167, the_carrier(23 ^ [])))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(10, plain, [in(_129167, 27 ^ []), -(netstr_induced_subset(30 ^ [_129167], 22 ^ [], 23 ^ []))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(11, plain, [in(_129167, 27 ^ []), -(element(31 ^ [_129167], the_carrier(23 ^ [])))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(12, plain, [in(_129167, 27 ^ []), -(25 ^ [] = topstr_closure(22 ^ [], 30 ^ [_129167]))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(13, plain, [in(_129167, 27 ^ []), -(_129167 = 31 ^ [_129167])], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(14, plain, [in(_129167, 27 ^ []), -(30 ^ [_129167] = relation_rng_as_subset(the_carrier(subnetstr_of_element(22 ^ [], 23 ^ [], 31 ^ [_129167])), the_carrier(22 ^ []), the_mapping(22 ^ [], subnetstr_of_element(22 ^ [], 23 ^ [], 31 ^ [_129167]))))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(15, plain, [-(in(_129167, 27 ^ [])), in(_129167, the_carrier(23 ^ [])), netstr_induced_subset(_129184, 22 ^ [], 23 ^ []), element(_129196, the_carrier(23 ^ [])), 25 ^ [] = topstr_closure(22 ^ [], _129184), _129167 = _129196, _129184 = relation_rng_as_subset(the_carrier(subnetstr_of_element(22 ^ [], 23 ^ [], _129196)), the_carrier(22 ^ []), the_mapping(22 ^ [], subnetstr_of_element(22 ^ [], 23 ^ [], _129196)))], clausify(s2_xboole_0__e6_39_3__yellow19__1)).
% 160.04/154.96 cnf(16, plain, [-(_110793 = _110849), in(21 ^ [_110849, _110793], _110793), in(21 ^ [_110849, _110793], _110849)], clausify(t2_tarski)).
% 160.04/154.96 cnf(17, plain, [-(_110793 = _110849), -(in(21 ^ [_110849, _110793], _110793)), -(in(21 ^ [_110849, _110793], _110849))], clausify(t2_tarski)).
% 160.04/154.96
% 160.04/154.96 cnf('1',plain,[in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []), -(in(21 ^ [27 ^ [], 26 ^ []], the_carrier(23 ^ [])))],start(2,bind([[_129092], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])), in(21 ^ [27 ^ [], 26 ^ []], the_carrier(23 ^ [])), netstr_induced_subset(30 ^ [21 ^ [27 ^ [], 26 ^ []]], 22 ^ [], 23 ^ []), element(31 ^ [21 ^ [27 ^ [], 26 ^ []]], the_carrier(23 ^ [])), 25 ^ [] = topstr_closure(22 ^ [], 30 ^ [21 ^ [27 ^ [], 26 ^ []]]), 21 ^ [27 ^ [], 26 ^ []] = 31 ^ [21 ^ [27 ^ [], 26 ^ []]], 30 ^ [21 ^ [27 ^ [], 26 ^ []]] = relation_rng_as_subset(the_carrier(subnetstr_of_element(22 ^ [], 23 ^ [], 31 ^ [21 ^ [27 ^ [], 26 ^ []]])), the_carrier(22 ^ []), the_mapping(22 ^ [], subnetstr_of_element(22 ^ [], 23 ^ [], 31 ^ [21 ^ [27 ^ [], 26 ^ []]])))],extension(8,bind([[_129092, _129109, _129121], [21 ^ [27 ^ [], 26 ^ []], 30 ^ [21 ^ [27 ^ [], 26 ^ []]], 31 ^ [21 ^ [27 ^ [], 26 ^ []]]]]))).
% 160.04/154.96 cnf('1.1.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], the_carrier(23 ^ []))), in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])],extension(9,bind([[_129167], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.1.1.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])), -(26 ^ [] = 27 ^ []), -(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []))],extension(17,bind([[_110849, _110793], [27 ^ [], 26 ^ []]]))).
% 160.04/154.96 cnf('1.1.1.1.1',plain,[26 ^ [] = 27 ^ []],extension(1)).
% 160.04/154.96 cnf('1.1.1.1.2',plain,[in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],reduction('1')).
% 160.04/154.96 cnf('1.1.2',plain,[-(netstr_induced_subset(30 ^ [21 ^ [27 ^ [], 26 ^ []]], 22 ^ [], 23 ^ [])), in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])],extension(10,bind([[_129167], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.1.2.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])), -(26 ^ [] = 27 ^ []), -(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []))],extension(17,bind([[_110849, _110793], [27 ^ [], 26 ^ []]]))).
% 160.04/154.96 cnf('1.1.2.1.1',plain,[26 ^ [] = 27 ^ []],extension(1)).
% 160.04/154.96 cnf('1.1.2.1.2',plain,[in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],reduction('1')).
% 160.04/154.96 cnf('1.1.3',plain,[-(element(31 ^ [21 ^ [27 ^ [], 26 ^ []]], the_carrier(23 ^ []))), in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])],extension(11,bind([[_129167], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.1.3.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])), -(26 ^ [] = 27 ^ []), -(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []))],extension(17,bind([[_110849, _110793], [27 ^ [], 26 ^ []]]))).
% 160.04/154.96 cnf('1.1.3.1.1',plain,[26 ^ [] = 27 ^ []],extension(1)).
% 160.04/154.96 cnf('1.1.3.1.2',plain,[in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],reduction('1')).
% 160.04/154.96 cnf('1.1.4',plain,[-(25 ^ [] = topstr_closure(22 ^ [], 30 ^ [21 ^ [27 ^ [], 26 ^ []]])), in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])],extension(12,bind([[_129167], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.1.4.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])), -(26 ^ [] = 27 ^ []), -(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []))],extension(17,bind([[_110849, _110793], [27 ^ [], 26 ^ []]]))).
% 160.04/154.96 cnf('1.1.4.1.1',plain,[26 ^ [] = 27 ^ []],extension(1)).
% 160.04/154.96 cnf('1.1.4.1.2',plain,[in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],reduction('1')).
% 160.04/154.96 cnf('1.1.5',plain,[-(21 ^ [27 ^ [], 26 ^ []] = 31 ^ [21 ^ [27 ^ [], 26 ^ []]]), in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])],extension(13,bind([[_129167], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.1.5.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])), -(26 ^ [] = 27 ^ []), -(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []))],extension(17,bind([[_110849, _110793], [27 ^ [], 26 ^ []]]))).
% 160.04/154.96 cnf('1.1.5.1.1',plain,[26 ^ [] = 27 ^ []],extension(1)).
% 160.04/154.96 cnf('1.1.5.1.2',plain,[in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],reduction('1')).
% 160.04/154.96 cnf('1.1.6',plain,[-(30 ^ [21 ^ [27 ^ [], 26 ^ []]] = relation_rng_as_subset(the_carrier(subnetstr_of_element(22 ^ [], 23 ^ [], 31 ^ [21 ^ [27 ^ [], 26 ^ []]])), the_carrier(22 ^ []), the_mapping(22 ^ [], subnetstr_of_element(22 ^ [], 23 ^ [], 31 ^ [21 ^ [27 ^ [], 26 ^ []]])))), in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])],extension(14,bind([[_129167], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.1.6.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])), -(26 ^ [] = 27 ^ []), -(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []))],extension(17,bind([[_110849, _110793], [27 ^ [], 26 ^ []]]))).
% 160.04/154.96 cnf('1.1.6.1.1',plain,[26 ^ [] = 27 ^ []],extension(1)).
% 160.04/154.96 cnf('1.1.6.1.2',plain,[in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],reduction('1')).
% 160.04/154.96 cnf('1.2',plain,[in(21 ^ [27 ^ [], 26 ^ []], the_carrier(23 ^ [])), -(in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])), netstr_induced_subset(28 ^ [21 ^ [27 ^ [], 26 ^ []]], 22 ^ [], 23 ^ []), element(29 ^ [21 ^ [27 ^ [], 26 ^ []]], the_carrier(23 ^ [])), 25 ^ [] = topstr_closure(22 ^ [], 28 ^ [21 ^ [27 ^ [], 26 ^ []]]), 21 ^ [27 ^ [], 26 ^ []] = 29 ^ [21 ^ [27 ^ [], 26 ^ []]], 28 ^ [21 ^ [27 ^ [], 26 ^ []]] = relation_rng_as_subset(the_carrier(subnetstr_of_element(22 ^ [], 23 ^ [], 29 ^ [21 ^ [27 ^ [], 26 ^ []]])), the_carrier(22 ^ []), the_mapping(22 ^ [], subnetstr_of_element(22 ^ [], 23 ^ [], 29 ^ [21 ^ [27 ^ [], 26 ^ []]])))],extension(15,bind([[_129167, _129184, _129196], [21 ^ [27 ^ [], 26 ^ []], 28 ^ [21 ^ [27 ^ [], 26 ^ []]], 29 ^ [21 ^ [27 ^ [], 26 ^ []]]]]))).
% 160.04/154.96 cnf('1.2.1',plain,[in(21 ^ [27 ^ [], 26 ^ []], 27 ^ []), -(26 ^ [] = 27 ^ []), in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],extension(16,bind([[_110849, _110793], [27 ^ [], 26 ^ []]]))).
% 160.04/154.96 cnf('1.2.1.1',plain,[26 ^ [] = 27 ^ []],extension(1)).
% 160.04/154.96 cnf('1.2.1.2',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []))],lemmata('1')).
% 160.04/154.96 cnf('1.2.2',plain,[-(netstr_induced_subset(28 ^ [21 ^ [27 ^ [], 26 ^ []]], 22 ^ [], 23 ^ [])), in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],extension(3,bind([[_129092], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.2.2.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])), -(26 ^ [] = 27 ^ []), -(in(21 ^ [27 ^ [], 26 ^ []], 27 ^ []))],extension(17,bind([[_110793, _110849], [26 ^ [], 27 ^ []]]))).
% 160.04/154.96 cnf('1.2.2.1.1',plain,[26 ^ [] = 27 ^ []],extension(1)).
% 160.04/154.96 cnf('1.2.2.1.2',plain,[in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])],lemmata('1.2')).
% 160.04/154.96 cnf('1.2.3',plain,[-(element(29 ^ [21 ^ [27 ^ [], 26 ^ []]], the_carrier(23 ^ []))), in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],extension(4,bind([[_129092], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.2.3.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])), -(26 ^ [] = 27 ^ []), -(in(21 ^ [27 ^ [], 26 ^ []], 27 ^ []))],extension(17,bind([[_110793, _110849], [26 ^ [], 27 ^ []]]))).
% 160.04/154.96 cnf('1.2.3.1.1',plain,[26 ^ [] = 27 ^ []],extension(1)).
% 160.04/154.96 cnf('1.2.3.1.2',plain,[in(21 ^ [27 ^ [], 26 ^ []], 27 ^ [])],lemmata('1.2')).
% 160.04/154.96 cnf('1.2.4',plain,[-(25 ^ [] = topstr_closure(22 ^ [], 28 ^ [21 ^ [27 ^ [], 26 ^ []]])), in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],extension(5,bind([[_129092], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.2.4.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []))],lemmata('1')).
% 160.04/154.96 cnf('1.2.5',plain,[-(21 ^ [27 ^ [], 26 ^ []] = 29 ^ [21 ^ [27 ^ [], 26 ^ []]]), in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],extension(6,bind([[_129092], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.2.5.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []))],lemmata('1')).
% 160.04/154.96 cnf('1.2.6',plain,[-(28 ^ [21 ^ [27 ^ [], 26 ^ []]] = relation_rng_as_subset(the_carrier(subnetstr_of_element(22 ^ [], 23 ^ [], 29 ^ [21 ^ [27 ^ [], 26 ^ []]])), the_carrier(22 ^ []), the_mapping(22 ^ [], subnetstr_of_element(22 ^ [], 23 ^ [], 29 ^ [21 ^ [27 ^ [], 26 ^ []]])))), in(21 ^ [27 ^ [], 26 ^ []], 26 ^ [])],extension(7,bind([[_129092], [21 ^ [27 ^ [], 26 ^ []]]]))).
% 160.04/154.96 cnf('1.2.6.1',plain,[-(in(21 ^ [27 ^ [], 26 ^ []], 26 ^ []))],lemmata('1')).
% 160.04/154.96 %-----------------------------------------------------
% 160.04/154.97
% 160.04/154.97 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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