TSTP Solution File: SEU243+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU243+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 12:01:22 EDT 2022
% Result : Theorem 88.35s 86.27s
% Output : Proof 88.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU243+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n029.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 13:58:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 88.35/86.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.35/86.28 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.35/86.28
% 88.35/86.28 %-----------------------------------------------------
% 88.35/86.28 fof(t5_wellord1, conjecture, ! [_469716] : (relation(_469716) => (well_founded_relation(_469716) <=> is_well_founded_in(_469716, relation_field(_469716)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_wellord1)).
% 88.35/86.28 fof(d2_wellord1, axiom, ! [_470096] : (relation(_470096) => (well_founded_relation(_470096) <=> ! [_470118] : ~ (subset(_470118, relation_field(_470096)) & (! _470118) = empty_set & ! [_470150] : ~ (in(_470150, _470118) & disjoint(fiber(_470096, _470150), _470118))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_wellord1)).
% 88.35/86.28 fof(d3_wellord1, axiom, ! [_470505] : (relation(_470505) => ! [_470520] : (is_well_founded_in(_470505, _470520) <=> ! [_470538] : ~ (subset(_470538, _470520) & (! _470538) = empty_set & ! [_470566] : ~ (in(_470566, _470538) & disjoint(fiber(_470505, _470566), _470538))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_wellord1)).
% 88.35/86.28
% 88.35/86.28 cnf(1, plain, [-(relation(120 ^ []))], clausify(t5_wellord1)).
% 88.35/86.28 cnf(2, plain, [well_founded_relation(120 ^ []), is_well_founded_in(120 ^ [], relation_field(120 ^ []))], clausify(t5_wellord1)).
% 88.35/86.28 cnf(3, plain, [-(well_founded_relation(120 ^ [])), -(is_well_founded_in(120 ^ [], relation_field(120 ^ [])))], clausify(t5_wellord1)).
% 88.35/86.28 cnf(4, plain, [-(_156525 = _156525)], theory(equality)).
% 88.35/86.28 cnf(5, plain, [-(_156957 = _157068), _156957 = _157013, _157013 = _157068], theory(equality)).
% 88.35/86.28 cnf(6, plain, [relation(_205703), -(well_founded_relation(_205703)), -(subset(33 ^ [_205703], relation_field(_205703)))], clausify(d2_wellord1)).
% 88.35/86.28 cnf(7, plain, [relation(_205703), -(well_founded_relation(_205703)), 33 ^ [_205703] = empty_set], clausify(d2_wellord1)).
% 88.35/86.28 cnf(8, plain, [relation(_205703), -(well_founded_relation(_205703)), in(_338468, 33 ^ [_205703]), disjoint(fiber(_205703, _338468), 33 ^ [_205703])], clausify(d2_wellord1)).
% 88.35/86.28 cnf(9, plain, [relation(_205703), well_founded_relation(_205703), subset(_205862, relation_field(_205703)), -(_205862 = empty_set), -(in(32 ^ [_205862, _205703], _205862))], clausify(d2_wellord1)).
% 88.35/86.28 cnf(10, plain, [relation(_205703), well_founded_relation(_205703), subset(_205862, relation_field(_205703)), -(_205862 = empty_set), -(disjoint(fiber(_205703, 32 ^ [_205862, _205703]), _205862))], clausify(d2_wellord1)).
% 88.35/86.28 cnf(11, plain, [relation(_210218), -(is_well_founded_in(_210218, _210343)), -(subset(46 ^ [_210343, _210218], _210343))], clausify(d3_wellord1)).
% 88.35/86.28 cnf(12, plain, [relation(_210218), -(is_well_founded_in(_210218, _210343)), 46 ^ [_210343, _210218] = empty_set], clausify(d3_wellord1)).
% 88.35/86.28 cnf(13, plain, [relation(_210218), -(is_well_founded_in(_210218, _210343)), in(_340196, 46 ^ [_210343, _210218]), disjoint(fiber(_210218, _340196), 46 ^ [_210343, _210218])], clausify(d3_wellord1)).
% 88.35/86.28 cnf(14, plain, [relation(_210218), is_well_founded_in(_210218, _210343), subset(_210483, _210343), -(_210483 = empty_set), -(in(45 ^ [_210483, _210343, _210218], _210483))], clausify(d3_wellord1)).
% 88.35/86.28 cnf(15, plain, [relation(_210218), is_well_founded_in(_210218, _210343), subset(_210483, _210343), -(_210483 = empty_set), -(disjoint(fiber(_210218, 45 ^ [_210483, _210343, _210218]), _210483))], clausify(d3_wellord1)).
% 88.35/86.28
% 88.35/86.28 cnf('1',plain,[well_founded_relation(120 ^ []), is_well_founded_in(120 ^ [], relation_field(120 ^ []))],start(2)).
% 88.35/86.28 cnf('1.1',plain,[-(well_founded_relation(120 ^ [])), relation(120 ^ []), -(subset(33 ^ [120 ^ []], relation_field(120 ^ [])))],extension(6,bind([[_205703], [120 ^ []]]))).
% 88.35/86.28 cnf('1.1.1',plain,[-(relation(120 ^ []))],extension(1)).
% 88.35/86.28 cnf('1.1.2',plain,[subset(33 ^ [120 ^ []], relation_field(120 ^ [])), relation(120 ^ []), is_well_founded_in(120 ^ [], relation_field(120 ^ [])), -(33 ^ [120 ^ []] = empty_set), -(in(45 ^ [33 ^ [120 ^ []], relation_field(120 ^ []), 120 ^ []], 33 ^ [120 ^ []]))],extension(14,bind([[_210343, _210218, _210483], [relation_field(120 ^ []), 120 ^ [], 33 ^ [120 ^ []]]]))).
% 88.35/86.28 cnf('1.1.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 88.35/86.28 cnf('1.1.2.2',plain,[-(is_well_founded_in(120 ^ [], relation_field(120 ^ []))), -(well_founded_relation(120 ^ []))],extension(3)).
% 88.35/86.28 cnf('1.1.2.2.1',plain,[well_founded_relation(120 ^ [])],reduction('1')).
% 88.35/86.28 cnf('1.1.2.3',plain,[33 ^ [120 ^ []] = empty_set, -(33 ^ [120 ^ []] = empty_set), empty_set = empty_set],extension(5,bind([[_156957, _157013, _157068], [33 ^ [120 ^ []], empty_set, empty_set]]))).
% 88.35/86.28 cnf('1.1.2.3.1',plain,[33 ^ [120 ^ []] = empty_set, relation(120 ^ []), -(well_founded_relation(120 ^ []))],extension(7,bind([[_205703], [120 ^ []]]))).
% 88.35/86.28 cnf('1.1.2.3.1.1',plain,[-(relation(120 ^ []))],extension(1)).
% 88.35/86.28 cnf('1.1.2.3.1.2',plain,[well_founded_relation(120 ^ [])],reduction('1')).
% 88.35/86.28 cnf('1.1.2.3.2',plain,[-(empty_set = empty_set)],extension(4,bind([[_156525], [empty_set]]))).
% 88.35/86.28 cnf('1.1.2.4',plain,[in(45 ^ [33 ^ [120 ^ []], relation_field(120 ^ []), 120 ^ []], 33 ^ [120 ^ []]), relation(120 ^ []), -(well_founded_relation(120 ^ [])), disjoint(fiber(120 ^ [], 45 ^ [33 ^ [120 ^ []], relation_field(120 ^ []), 120 ^ []]), 33 ^ [120 ^ []])],extension(8,bind([[_338468, _205703], [45 ^ [33 ^ [120 ^ []], relation_field(120 ^ []), 120 ^ []], 120 ^ []]]))).
% 88.35/86.28 cnf('1.1.2.4.1',plain,[-(relation(120 ^ []))],extension(1)).
% 88.35/86.28 cnf('1.1.2.4.2',plain,[well_founded_relation(120 ^ [])],reduction('1')).
% 88.35/86.28 cnf('1.1.2.4.3',plain,[-(disjoint(fiber(120 ^ [], 45 ^ [33 ^ [120 ^ []], relation_field(120 ^ []), 120 ^ []]), 33 ^ [120 ^ []])), relation(120 ^ []), is_well_founded_in(120 ^ [], relation_field(120 ^ [])), subset(33 ^ [120 ^ []], relation_field(120 ^ [])), -(33 ^ [120 ^ []] = empty_set)],extension(15,bind([[_210218, _210343, _210483], [120 ^ [], relation_field(120 ^ []), 33 ^ [120 ^ []]]]))).
% 88.35/86.28 cnf('1.1.2.4.3.1',plain,[-(relation(120 ^ []))],extension(1)).
% 88.35/86.28 cnf('1.1.2.4.3.2',plain,[-(is_well_founded_in(120 ^ [], relation_field(120 ^ [])))],lemmata('1.1.2')).
% 88.35/86.28 cnf('1.1.2.4.3.3',plain,[-(subset(33 ^ [120 ^ []], relation_field(120 ^ [])))],reduction('1.1')).
% 88.35/86.28 cnf('1.1.2.4.3.4',plain,[33 ^ [120 ^ []] = empty_set],lemmata('1.1.2')).
% 88.35/86.28 cnf('1.2',plain,[-(is_well_founded_in(120 ^ [], relation_field(120 ^ []))), relation(120 ^ []), -(subset(46 ^ [relation_field(120 ^ []), 120 ^ []], relation_field(120 ^ [])))],extension(11,bind([[_210218, _210343], [120 ^ [], relation_field(120 ^ [])]]))).
% 88.35/86.28 cnf('1.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 88.35/86.28 cnf('1.2.2',plain,[subset(46 ^ [relation_field(120 ^ []), 120 ^ []], relation_field(120 ^ [])), relation(120 ^ []), well_founded_relation(120 ^ []), -(46 ^ [relation_field(120 ^ []), 120 ^ []] = empty_set), -(in(32 ^ [46 ^ [relation_field(120 ^ []), 120 ^ []], 120 ^ []], 46 ^ [relation_field(120 ^ []), 120 ^ []]))],extension(9,bind([[_205703, _205862], [120 ^ [], 46 ^ [relation_field(120 ^ []), 120 ^ []]]]))).
% 88.35/86.28 cnf('1.2.2.1',plain,[-(relation(120 ^ []))],extension(1)).
% 88.35/86.28 cnf('1.2.2.2',plain,[-(well_founded_relation(120 ^ []))],lemmata('1')).
% 88.35/86.28 cnf('1.2.2.3',plain,[46 ^ [relation_field(120 ^ []), 120 ^ []] = empty_set, -(46 ^ [relation_field(120 ^ []), 120 ^ []] = empty_set), empty_set = empty_set],extension(5,bind([[_156957, _157013, _157068], [46 ^ [relation_field(120 ^ []), 120 ^ []], empty_set, empty_set]]))).
% 88.35/86.28 cnf('1.2.2.3.1',plain,[46 ^ [relation_field(120 ^ []), 120 ^ []] = empty_set, relation(120 ^ []), -(is_well_founded_in(120 ^ [], relation_field(120 ^ [])))],extension(12,bind([[_210218, _210343], [120 ^ [], relation_field(120 ^ [])]]))).
% 88.35/86.28 cnf('1.2.2.3.1.1',plain,[-(relation(120 ^ []))],extension(1)).
% 88.35/86.28 cnf('1.2.2.3.1.2',plain,[is_well_founded_in(120 ^ [], relation_field(120 ^ []))],reduction('1')).
% 88.35/86.28 cnf('1.2.2.3.2',plain,[-(empty_set = empty_set)],extension(4,bind([[_156525], [empty_set]]))).
% 88.35/86.28 cnf('1.2.2.4',plain,[in(32 ^ [46 ^ [relation_field(120 ^ []), 120 ^ []], 120 ^ []], 46 ^ [relation_field(120 ^ []), 120 ^ []]), relation(120 ^ []), -(is_well_founded_in(120 ^ [], relation_field(120 ^ []))), disjoint(fiber(120 ^ [], 32 ^ [46 ^ [relation_field(120 ^ []), 120 ^ []], 120 ^ []]), 46 ^ [relation_field(120 ^ []), 120 ^ []])],extension(13,bind([[_340196, _210343, _210218], [32 ^ [46 ^ [relation_field(120 ^ []), 120 ^ []], 120 ^ []], relation_field(120 ^ []), 120 ^ []]]))).
% 88.35/86.28 cnf('1.2.2.4.1',plain,[-(relation(120 ^ []))],extension(1)).
% 88.35/86.28 cnf('1.2.2.4.2',plain,[is_well_founded_in(120 ^ [], relation_field(120 ^ []))],reduction('1')).
% 88.35/86.28 cnf('1.2.2.4.3',plain,[-(disjoint(fiber(120 ^ [], 32 ^ [46 ^ [relation_field(120 ^ []), 120 ^ []], 120 ^ []]), 46 ^ [relation_field(120 ^ []), 120 ^ []])), relation(120 ^ []), well_founded_relation(120 ^ []), subset(46 ^ [relation_field(120 ^ []), 120 ^ []], relation_field(120 ^ [])), -(46 ^ [relation_field(120 ^ []), 120 ^ []] = empty_set)],extension(10,bind([[_205703, _205862], [120 ^ [], 46 ^ [relation_field(120 ^ []), 120 ^ []]]]))).
% 88.35/86.28 cnf('1.2.2.4.3.1',plain,[-(relation(120 ^ []))],extension(1)).
% 88.35/86.28 cnf('1.2.2.4.3.2',plain,[-(well_founded_relation(120 ^ []))],lemmata('1.2.2')).
% 88.35/86.28 cnf('1.2.2.4.3.3',plain,[-(subset(46 ^ [relation_field(120 ^ []), 120 ^ []], relation_field(120 ^ [])))],reduction('1.2')).
% 88.35/86.28 cnf('1.2.2.4.3.4',plain,[46 ^ [relation_field(120 ^ []), 120 ^ []] = empty_set],lemmata('1.2.2')).
% 88.35/86.28 %-----------------------------------------------------
% 88.43/86.29
% 88.43/86.29 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------