TSTP Solution File: NUM409+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM409+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 : Mon Jul 18 11:40:35 EDT 2022
% Result : Theorem 250.82s 243.13s
% Output : Proof 250.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : NUM409+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.07 % Command : leancop_casc.sh %s %d
% 0.06/0.26 % Computer : n005.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 600
% 0.06/0.26 % DateTime : Thu Jul 7 23:28:52 EDT 2022
% 0.06/0.26 % CPUTime :
% 250.82/243.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 250.82/243.14 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 250.82/243.14
% 250.82/243.14 %-----------------------------------------------------
% 250.82/243.14 fof(fc7_relat_1, axiom, ! [_73166] : (empty(_73166) => empty(relation_dom(_73166)) & relation(relation_dom(_73166))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc7_relat_1)).
% 250.82/243.14 fof(fc2_ordinal1, axiom, relation(empty_set) & relation_empty_yielding(empty_set) & function(empty_set) & one_to_one(empty_set) & empty(empty_set) & epsilon_transitive(empty_set) & epsilon_connected(empty_set) & ordinal(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc2_ordinal1)).
% 250.82/243.14 fof(t2_xboole_1, axiom, ! [_73435] : subset(empty_set, _73435), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_xboole_1)).
% 250.82/243.14 fof(t45_ordinal1, conjecture, ! [_73545] : transfinite_sequence_of(empty_set, _73545), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t45_ordinal1)).
% 250.82/243.14 fof(fc12_relat_1, axiom, empty(empty_set) & relation(empty_set) & relation_empty_yielding(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc12_relat_1)).
% 250.82/243.14 fof(fc8_relat_1, axiom, ! [_73738] : (empty(_73738) => empty(relation_rng(_73738)) & relation(relation_rng(_73738))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc8_relat_1)).
% 250.82/243.14 fof(d7_ordinal1, axiom, ! [_73919] : (relation(_73919) & function(_73919) => (transfinite_sequence(_73919) <=> ordinal(relation_dom(_73919)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d7_ordinal1)).
% 250.82/243.14 fof(cc3_ordinal1, axiom, ! [_74164] : (empty(_74164) => epsilon_transitive(_74164) & epsilon_connected(_74164) & ordinal(_74164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc3_ordinal1)).
% 250.82/243.14 fof(d8_ordinal1, axiom, ! [_74345, _74348] : (relation(_74348) & function(_74348) & transfinite_sequence(_74348) => (transfinite_sequence_of(_74348, _74345) <=> subset(relation_rng(_74348), _74345))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d8_ordinal1)).
% 250.82/243.14 fof(t8_boole, axiom, ! [_74563, _74566] : ~ (empty(_74563) & (! _74563) = _74566 & empty(_74566)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t8_boole)).
% 250.82/243.14
% 250.82/243.14 cnf(1, plain, [empty(_37951), -(empty(relation_dom(_37951)))], clausify(fc7_relat_1)).
% 250.82/243.14 cnf(2, plain, [-(function(empty_set))], clausify(fc2_ordinal1)).
% 250.82/243.14 cnf(3, plain, [-(subset(empty_set, _43112))], clausify(t2_xboole_1)).
% 250.82/243.14 cnf(4, plain, [transfinite_sequence_of(empty_set, 20 ^ [])], clausify(t45_ordinal1)).
% 250.82/243.14 cnf(5, plain, [-(empty(empty_set))], clausify(fc12_relat_1)).
% 250.82/243.14 cnf(6, plain, [_20851 = _20896, -(_20896 = _20851)], theory(equality)).
% 250.82/243.14 cnf(7, plain, [empty(_38255), -(empty(relation_rng(_38255)))], clausify(fc8_relat_1)).
% 250.82/243.14 cnf(8, plain, [function(_33995), relation(_33995), -(transfinite_sequence(_33995)), ordinal(relation_dom(_33995))], clausify(d7_ordinal1)).
% 250.82/243.14 cnf(9, plain, [-(relation(empty_set))], clausify(fc2_ordinal1)).
% 250.82/243.14 cnf(10, plain, [-(_20698 = _20698)], theory(equality)).
% 250.82/243.14 cnf(11, plain, [empty(_32329), -(ordinal(_32329))], clausify(cc3_ordinal1)).
% 250.82/243.14 cnf(12, plain, [-(subset(_25882, _26013)), subset(_25815, _25948), _25815 = _25882, _25948 = _26013], theory(equality)).
% 250.82/243.14 cnf(13, plain, [transfinite_sequence(_34401), function(_34401), relation(_34401), -(transfinite_sequence_of(_34401, _34339)), subset(relation_rng(_34401), _34339)], clausify(d8_ordinal1)).
% 250.82/243.14 cnf(14, plain, [empty(_45469), -(_45469 = _45522), empty(_45522)], clausify(t8_boole)).
% 250.82/243.14
% 250.82/243.14 cnf('1',plain,[transfinite_sequence_of(empty_set, 20 ^ [])],start(4)).
% 250.82/243.14 cnf('1.1',plain,[-(transfinite_sequence_of(empty_set, 20 ^ [])), transfinite_sequence(empty_set), function(empty_set), relation(empty_set), subset(relation_rng(empty_set), 20 ^ [])],extension(13,bind([[_34401, _34339], [empty_set, 20 ^ []]]))).
% 250.82/243.14 cnf('1.1.1',plain,[-(transfinite_sequence(empty_set)), function(empty_set), relation(empty_set), ordinal(relation_dom(empty_set))],extension(8,bind([[_33995], [empty_set]]))).
% 250.82/243.14 cnf('1.1.1.1',plain,[-(function(empty_set))],extension(2)).
% 250.82/243.14 cnf('1.1.1.2',plain,[-(relation(empty_set))],extension(9)).
% 250.82/243.14 cnf('1.1.1.3',plain,[-(ordinal(relation_dom(empty_set))), empty(relation_dom(empty_set))],extension(11,bind([[_32329], [relation_dom(empty_set)]]))).
% 250.82/243.14 cnf('1.1.1.3.1',plain,[-(empty(relation_dom(empty_set))), empty(empty_set)],extension(1,bind([[_37951], [empty_set]]))).
% 250.82/243.14 cnf('1.1.1.3.1.1',plain,[-(empty(empty_set))],extension(5)).
% 250.82/243.14 cnf('1.1.2',plain,[-(function(empty_set))],extension(2)).
% 250.82/243.14 cnf('1.1.3',plain,[-(relation(empty_set))],extension(9)).
% 250.82/243.14 cnf('1.1.4',plain,[-(subset(relation_rng(empty_set), 20 ^ [])), subset(empty_set, 20 ^ []), empty_set = relation_rng(empty_set), 20 ^ [] = 20 ^ []],extension(12,bind([[_25815, _25882, _25948, _26013], [empty_set, relation_rng(empty_set), 20 ^ [], 20 ^ []]]))).
% 250.82/243.14 cnf('1.1.4.1',plain,[-(subset(empty_set, 20 ^ []))],extension(3,bind([[_43112], [20 ^ []]]))).
% 250.82/243.14 cnf('1.1.4.2',plain,[-(empty_set = relation_rng(empty_set)), empty(empty_set), empty(relation_rng(empty_set))],extension(14,bind([[_45469, _45522], [empty_set, relation_rng(empty_set)]]))).
% 250.82/243.14 cnf('1.1.4.2.1',plain,[-(empty(empty_set))],extension(5)).
% 250.82/243.14 cnf('1.1.4.2.2',plain,[-(empty(relation_rng(empty_set))), empty(empty_set)],extension(7,bind([[_38255], [empty_set]]))).
% 250.82/243.14 cnf('1.1.4.2.2.1',plain,[-(empty(empty_set))],extension(5)).
% 250.82/243.14 cnf('1.1.4.3',plain,[-(20 ^ [] = 20 ^ []), 20 ^ [] = 20 ^ []],extension(6,bind([[_20851, _20896], [20 ^ [], 20 ^ []]]))).
% 250.82/243.14 cnf('1.1.4.3.1',plain,[-(20 ^ [] = 20 ^ [])],extension(10,bind([[_20698], [20 ^ []]]))).
% 250.82/243.14 %-----------------------------------------------------
% 250.82/243.15
% 250.82/243.15 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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