TSTP Solution File: SEU241+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU241+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n020.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 12:01:21 EDT 2022

% Result   : Theorem 95.10s 92.59s
% Output   : Proof 95.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU241+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n020.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 : Sun Jun 19 11:42:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 95.10/92.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.10/92.60  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.10/92.60  
% 95.10/92.60  %-----------------------------------------------------
% 95.10/92.60  fof(l3_wellord1, conjecture, ! [_446542] : (relation(_446542) => (antisymmetric(_446542) <=> ! [_446564, _446567] : (in(ordered_pair(_446564, _446567), _446542) & in(ordered_pair(_446567, _446564), _446542) => _446564 = _446567))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l3_wellord1)).
% 95.10/92.60  fof(d12_relat_2, axiom, ! [_446959] : (relation(_446959) => (antisymmetric(_446959) <=> is_antisymmetric_in(_446959, relation_field(_446959)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d12_relat_2)).
% 95.10/92.60  fof(d4_relat_2, axiom, ! [_447244] : (relation(_447244) => ! [_447259] : (is_antisymmetric_in(_447244, _447259) <=> ! [_447277, _447280] : (in(_447277, _447259) & in(_447280, _447259) & in(ordered_pair(_447277, _447280), _447244) & in(ordered_pair(_447280, _447277), _447244) => _447277 = _447280))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_relat_2)).
% 95.10/92.60  fof(t30_relat_1, lemma, ! [_447923, _447926, _447929] : (relation(_447929) => in(ordered_pair(_447923, _447926), _447929) => in(_447923, relation_field(_447929)) & in(_447926, relation_field(_447929))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t30_relat_1)).
% 95.10/92.60  
% 95.10/92.60  cnf(1, plain, [-(relation(110 ^ []))], clausify(l3_wellord1)).
% 95.10/92.60  cnf(2, plain, [antisymmetric(110 ^ []), -(in(ordered_pair(111 ^ [], 112 ^ []), 110 ^ []))], clausify(l3_wellord1)).
% 95.10/92.60  cnf(3, plain, [antisymmetric(110 ^ []), -(in(ordered_pair(112 ^ [], 111 ^ []), 110 ^ []))], clausify(l3_wellord1)).
% 95.10/92.60  cnf(4, plain, [antisymmetric(110 ^ []), 111 ^ [] = 112 ^ []], clausify(l3_wellord1)).
% 95.10/92.60  cnf(5, plain, [-(antisymmetric(110 ^ [])), -(_350499 = _350504), in(ordered_pair(_350499, _350504), 110 ^ []), in(ordered_pair(_350504, _350499), 110 ^ [])], clausify(l3_wellord1)).
% 95.10/92.60  cnf(6, plain, [relation(_185567), antisymmetric(_185567), -(is_antisymmetric_in(_185567, relation_field(_185567)))], clausify(d12_relat_2)).
% 95.10/92.60  cnf(7, plain, [relation(_185567), -(antisymmetric(_185567)), is_antisymmetric_in(_185567, relation_field(_185567))], clausify(d12_relat_2)).
% 95.10/92.60  cnf(8, plain, [relation(_202379), -(is_antisymmetric_in(_202379, _202507)), -(in(ordered_pair(47 ^ [_202507, _202379], 48 ^ [_202507, _202379]), _202379))], clausify(d4_relat_2)).
% 95.10/92.60  cnf(9, plain, [relation(_202379), -(is_antisymmetric_in(_202379, _202507)), -(in(ordered_pair(48 ^ [_202507, _202379], 47 ^ [_202507, _202379]), _202379))], clausify(d4_relat_2)).
% 95.10/92.60  cnf(10, plain, [relation(_202379), -(is_antisymmetric_in(_202379, _202507)), 47 ^ [_202507, _202379] = 48 ^ [_202507, _202379]], clausify(d4_relat_2)).
% 95.10/92.60  cnf(11, plain, [relation(_202379), is_antisymmetric_in(_202379, _202507), -(_202650 = _202727), in(_202650, _202507), in(_202727, _202507), in(ordered_pair(_202650, _202727), _202379), in(ordered_pair(_202727, _202650), _202379)], clausify(d4_relat_2)).
% 95.10/92.60  cnf(12, plain, [relation(_269614), in(ordered_pair(_269479, _269547), _269614), -(in(_269479, relation_field(_269614)))], clausify(t30_relat_1)).
% 95.10/92.60  
% 95.10/92.60  cnf('1',plain,[antisymmetric(110 ^ []), 111 ^ [] = 112 ^ []],start(4)).
% 95.10/92.60  cnf('1.1',plain,[-(antisymmetric(110 ^ [])), relation(110 ^ []), is_antisymmetric_in(110 ^ [], relation_field(110 ^ []))],extension(7,bind([[_185567], [110 ^ []]]))).
% 95.10/92.60  cnf('1.1.1',plain,[-(relation(110 ^ []))],extension(1)).
% 95.10/92.60  cnf('1.1.2',plain,[-(is_antisymmetric_in(110 ^ [], relation_field(110 ^ []))), relation(110 ^ []), -(in(ordered_pair(47 ^ [relation_field(110 ^ []), 110 ^ []], 48 ^ [relation_field(110 ^ []), 110 ^ []]), 110 ^ []))],extension(8,bind([[_202507, _202379], [relation_field(110 ^ []), 110 ^ []]]))).
% 95.10/92.60  cnf('1.1.2.1',plain,[-(relation(110 ^ []))],extension(1)).
% 95.10/92.60  cnf('1.1.2.2',plain,[in(ordered_pair(47 ^ [relation_field(110 ^ []), 110 ^ []], 48 ^ [relation_field(110 ^ []), 110 ^ []]), 110 ^ []), -(antisymmetric(110 ^ [])), -(47 ^ [relation_field(110 ^ []), 110 ^ []] = 48 ^ [relation_field(110 ^ []), 110 ^ []]), in(ordered_pair(48 ^ [relation_field(110 ^ []), 110 ^ []], 47 ^ [relation_field(110 ^ []), 110 ^ []]), 110 ^ [])],extension(5,bind([[_350504, _350499], [48 ^ [relation_field(110 ^ []), 110 ^ []], 47 ^ [relation_field(110 ^ []), 110 ^ []]]]))).
% 95.10/92.60  cnf('1.1.2.2.1',plain,[antisymmetric(110 ^ [])],reduction('1')).
% 95.10/92.60  cnf('1.1.2.2.2',plain,[47 ^ [relation_field(110 ^ []), 110 ^ []] = 48 ^ [relation_field(110 ^ []), 110 ^ []], relation(110 ^ []), -(is_antisymmetric_in(110 ^ [], relation_field(110 ^ [])))],extension(10,bind([[_202379, _202507], [110 ^ [], relation_field(110 ^ [])]]))).
% 95.10/92.60  cnf('1.1.2.2.2.1',plain,[-(relation(110 ^ []))],extension(1)).
% 95.10/92.60  cnf('1.1.2.2.2.2',plain,[is_antisymmetric_in(110 ^ [], relation_field(110 ^ []))],reduction('1.1')).
% 95.10/92.60  cnf('1.1.2.2.3',plain,[-(in(ordered_pair(48 ^ [relation_field(110 ^ []), 110 ^ []], 47 ^ [relation_field(110 ^ []), 110 ^ []]), 110 ^ [])), relation(110 ^ []), -(is_antisymmetric_in(110 ^ [], relation_field(110 ^ [])))],extension(9,bind([[_202379, _202507], [110 ^ [], relation_field(110 ^ [])]]))).
% 95.10/92.60  cnf('1.1.2.2.3.1',plain,[-(relation(110 ^ []))],extension(1)).
% 95.10/92.60  cnf('1.1.2.2.3.2',plain,[is_antisymmetric_in(110 ^ [], relation_field(110 ^ []))],reduction('1.1')).
% 95.10/92.60  cnf('1.2',plain,[-(111 ^ [] = 112 ^ []), -(antisymmetric(110 ^ [])), in(ordered_pair(111 ^ [], 112 ^ []), 110 ^ []), in(ordered_pair(112 ^ [], 111 ^ []), 110 ^ [])],extension(5,bind([[_350504, _350499], [112 ^ [], 111 ^ []]]))).
% 95.10/92.60  cnf('1.2.1',plain,[antisymmetric(110 ^ []), -(in(ordered_pair(111 ^ [], 112 ^ []), 110 ^ []))],extension(2)).
% 95.10/92.60  cnf('1.2.1.1',plain,[in(ordered_pair(111 ^ [], 112 ^ []), 110 ^ []), relation(110 ^ []), is_antisymmetric_in(110 ^ [], relation_field(110 ^ [])), -(111 ^ [] = 112 ^ []), in(111 ^ [], relation_field(110 ^ [])), in(112 ^ [], relation_field(110 ^ [])), in(ordered_pair(112 ^ [], 111 ^ []), 110 ^ [])],extension(11,bind([[_202507, _202727, _202650, _202379], [relation_field(110 ^ []), 112 ^ [], 111 ^ [], 110 ^ []]]))).
% 95.10/92.60  cnf('1.2.1.1.1',plain,[-(relation(110 ^ []))],extension(1)).
% 95.10/92.60  cnf('1.2.1.1.2',plain,[-(is_antisymmetric_in(110 ^ [], relation_field(110 ^ []))), relation(110 ^ []), antisymmetric(110 ^ [])],extension(6,bind([[_185567], [110 ^ []]]))).
% 95.10/92.60  cnf('1.2.1.1.2.1',plain,[-(relation(110 ^ []))],extension(1)).
% 95.10/92.60  cnf('1.2.1.1.2.2',plain,[-(antisymmetric(110 ^ []))],lemmata('1')).
% 95.10/92.60  cnf('1.2.1.1.3',plain,[111 ^ [] = 112 ^ []],reduction('1')).
% 95.10/92.60  cnf('1.2.1.1.4',plain,[-(in(111 ^ [], relation_field(110 ^ []))), relation(110 ^ []), in(ordered_pair(111 ^ [], 112 ^ []), 110 ^ [])],extension(12,bind([[_269479, _269547, _269614], [111 ^ [], 112 ^ [], 110 ^ []]]))).
% 95.10/92.60  cnf('1.2.1.1.4.1',plain,[-(relation(110 ^ []))],extension(1)).
% 95.10/92.60  cnf('1.2.1.1.4.2',plain,[-(in(ordered_pair(111 ^ [], 112 ^ []), 110 ^ []))],reduction('1.2.1')).
% 95.10/92.60  cnf('1.2.1.1.5',plain,[-(in(112 ^ [], relation_field(110 ^ []))), relation(110 ^ []), in(ordered_pair(112 ^ [], 111 ^ []), 110 ^ [])],extension(12,bind([[_269479, _269547, _269614], [112 ^ [], 111 ^ [], 110 ^ []]]))).
% 95.10/92.60  cnf('1.2.1.1.5.1',plain,[-(relation(110 ^ []))],extension(1)).
% 95.10/92.60  cnf('1.2.1.1.5.2',plain,[-(in(ordered_pair(112 ^ [], 111 ^ []), 110 ^ [])), antisymmetric(110 ^ [])],extension(3)).
% 95.10/92.60  cnf('1.2.1.1.5.2.1',plain,[-(antisymmetric(110 ^ []))],lemmata('1')).
% 95.10/92.60  cnf('1.2.1.1.6',plain,[-(in(ordered_pair(112 ^ [], 111 ^ []), 110 ^ [])), antisymmetric(110 ^ [])],extension(3)).
% 95.10/92.60  cnf('1.2.1.1.6.1',plain,[-(antisymmetric(110 ^ []))],lemmata('1')).
% 95.10/92.60  cnf('1.2.2',plain,[-(in(ordered_pair(111 ^ [], 112 ^ []), 110 ^ [])), antisymmetric(110 ^ [])],extension(2)).
% 95.10/92.60  cnf('1.2.2.1',plain,[-(antisymmetric(110 ^ []))],lemmata('1')).
% 95.10/92.60  cnf('1.2.3',plain,[-(in(ordered_pair(112 ^ [], 111 ^ []), 110 ^ [])), antisymmetric(110 ^ [])],extension(3)).
% 95.10/92.60  cnf('1.2.3.1',plain,[-(antisymmetric(110 ^ []))],lemmata('1')).
% 95.10/92.60  %-----------------------------------------------------
% 95.20/92.61  
% 95.20/92.61  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------