TSTP Solution File: SEU153+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU153+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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  : 300s
% DateTime : Fri May 19 12:02:24 EDT 2023

% Result   : Theorem 82.46s 80.20s
% Output   : Proof 82.46s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU153+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n023.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  : 300
% 0.12/0.34  % DateTime : Thu May 18 12:45:44 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 82.46/80.20  
% 82.46/80.20  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 82.46/80.20  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 82.46/80.20  %-----------------------------------------------------
% 82.46/80.20  ncf(matrix, plain, [(219 ^ _38515) ^ [] : [-(in(214 ^ [], 215 ^ []))], (217 ^ _38515) ^ [] : [-(disjoint(singleton(214 ^ []), 215 ^ []))], !, (44 ^ _31312) ^ [_32807, _32809, _32811, _32813] : [-(in(_32811, _32807)), in(_32813, _32809), _32813 = _32811, _32809 = _32807], (193 ^ _31312) ^ [] : [true___, -(true___)], (169 ^ _31312) ^ [_37199, _37201] : [disjoint(_37201, _37199), -(set_intersection2(_37201, _37199) = empty_set)], (181 ^ _31312) ^ [] : [true___, -(true___)], (204 ^ _31312) ^ [] : [-(empty(202 ^ []))], (58 ^ _31312) ^ [_33261, _33263, _33265, _33267] : [-(set_intersection2(_33267, _33263) = set_intersection2(_33265, _33261)), _33267 = _33265, _33263 = _33261], (82 ^ _31312) ^ [_34136, _34138] : [_34136 = singleton(_34138), 85 ^ _31312 : [(92 ^ _31312) ^ [_34478] : [_34478 = _34138, -(in(_34478, _34136))], (86 ^ _31312) ^ [_34306] : [in(_34306, _34136), -(_34306 = _34138)]]], (126 ^ _31312) ^ [_35692, _35694, _35696] : [_35692 = set_intersection2(_35696, _35694), 129 ^ _31312 : [(138 ^ _31312) ^ [_36133] : [-(in(_36133, _35692)), in(_36133, _35696), in(_36133, _35694)], (130 ^ _31312) ^ [_35874] : [in(_35874, _35692), 133 ^ _31312 : [(136 ^ _31312) ^ [] : [-(in(_35874, _35694))], (134 ^ _31312) ^ [] : [-(in(_35874, _35696))]]]]], (201 ^ _31312) ^ [_37980, _37982] : [-(set_intersection2(_37982, _37982) = _37982)], (209 ^ _31312) ^ [_38251, _38253] : [disjoint(_38253, _38251), -(disjoint(_38251, _38253))], (148 ^ _31312) ^ [_36417, _36419, _36421] : [-(_36417 = set_intersection2(_36421, _36419)), 160 ^ _31312 : [(165 ^ _31312) ^ [] : [in(149 ^ [_36417, _36419, _36421], _36417)], (163 ^ _31312) ^ [] : [-(in(149 ^ [_36417, _36419, _36421], _36419))], (161 ^ _31312) ^ [] : [-(in(149 ^ [_36417, _36419, _36421], _36421))]], 152 ^ _31312 : [(155 ^ _31312) ^ [] : [in(149 ^ [_36417, _36419, _36421], _36421), in(149 ^ [_36417, _36419, _36421], _36419)], (153 ^ _31312) ^ [] : [-(in(149 ^ [_36417, _36419, _36421], _36417))]]], (199 ^ _31312) ^ [] : [-(empty(empty_set))], (10 ^ _31312) ^ [_31747, _31749, _31751] : [-(_31751 = _31747), _31751 = _31749, _31749 = _31747], (119 ^ _31312) ^ [_35387] : [-(in(120 ^ [_35387], _35387)), -(_35387 = empty_set)], (4 ^ _31312) ^ [_31543, _31545] : [_31545 = _31543, -(_31543 = _31545)], (20 ^ _31312) ^ [_32060, _32062] : [-(empty(_32060)), _32062 = _32060, empty(_32062)], (80 ^ _31312) ^ [_33992, _33994] : [-(set_intersection2(_33994, _33992) = set_intersection2(_33992, _33994))], (187 ^ _31312) ^ [] : [true___, -(true___)], (2 ^ _31312) ^ [_31436] : [-(_31436 = _31436)], (68 ^ _31312) ^ [_33572, _33574] : [_33574 = _33572, -(singleton(_33574) = singleton(_33572))], (98 ^ _31312) ^ [_34657, _34659] : [-(_34657 = singleton(_34659)), 102 ^ _31312 : [(105 ^ _31312) ^ [] : [99 ^ [_34657, _34659] = _34659], (103 ^ _31312) ^ [] : [-(in(99 ^ [_34657, _34659], _34657))]], 106 ^ _31312 : [(109 ^ _31312) ^ [] : [in(99 ^ [_34657, _34659], _34657)], (107 ^ _31312) ^ [] : [-(99 ^ [_34657, _34659] = _34659)]]], (207 ^ _31312) ^ [] : [empty(205 ^ [])], (74 ^ _31312) ^ [_33796, _33798] : [in(_33798, _33796), in(_33796, _33798)], (30 ^ _31312) ^ [_32383, _32385, _32387, _32389] : [-(disjoint(_32387, _32383)), disjoint(_32389, _32385), _32389 = _32387, _32385 = _32383], (175 ^ _31312) ^ [_37367, _37369] : [set_intersection2(_37369, _37367) = empty_set, -(disjoint(_37369, _37367))], (113 ^ _31312) ^ [_35208] : [_35208 = empty_set, 116 ^ _31312 : [(117 ^ _31312) ^ [_35321] : [in(_35321, _35208)]]]], input).
% 82.46/80.20  ncf('1',plain,[-(disjoint(singleton(214 ^ []), 215 ^ []))],start(217 ^ 0)).
% 82.46/80.20  ncf('1.1',plain,[disjoint(singleton(214 ^ []), 215 ^ []), -(disjoint(215 ^ [], singleton(214 ^ [])))],extension(209 ^ 1,bind([[_38251, _38253], [215 ^ [], singleton(214 ^ [])]]))).
% 82.46/80.20  ncf('1.1.1',plain,[disjoint(215 ^ [], singleton(214 ^ [])), -(set_intersection2(215 ^ [], singleton(214 ^ [])) = empty_set)],extension(169 ^ 2,bind([[_37199, _37201], [singleton(214 ^ []), 215 ^ []]]))).
% 82.46/80.20  ncf('1.1.1.1',plain,[set_intersection2(215 ^ [], singleton(214 ^ [])) = empty_set, -(empty_set = set_intersection2(215 ^ [], singleton(214 ^ [])))],extension(4 ^ 3,bind([[_31543, _31545], [empty_set, set_intersection2(215 ^ [], singleton(214 ^ []))]]))).
% 82.46/80.20  ncf('1.1.1.1.1',plain,[empty_set = set_intersection2(215 ^ [], singleton(214 ^ [])), 130 : in(214 ^ [], empty_set), 136 : -(in(214 ^ [], singleton(214 ^ [])))],extension(126 ^ 4,bind([[_35692, _35694, _35696, _35874], [empty_set, singleton(214 ^ []), 215 ^ [], 214 ^ []]]))).
% 82.46/80.20  ncf('1.1.1.1.1.1',plain,[-(in(214 ^ [], empty_set)), in(214 ^ [], 215 ^ []), in(214 ^ [], singleton(214 ^ []))],extension(138 ^ 7,bind([[_36133], [214 ^ []]]))).
% 82.46/80.20  ncf('1.1.1.1.1.1.1',plain,[-(in(214 ^ [], 215 ^ []))],extension(219 ^ 8)).
% 82.46/80.20  ncf('1.1.1.1.1.1.2',plain,[-(in(214 ^ [], singleton(214 ^ []))), 92 : 214 ^ [] = 214 ^ [], 92 : singleton(214 ^ []) = singleton(214 ^ [])],extension(82 ^ 8,bind([[_34136, _34138, _34478], [singleton(214 ^ []), 214 ^ [], 214 ^ []]]))).
% 82.46/80.20  ncf('1.1.1.1.1.1.2.1',plain,[-(214 ^ [] = 214 ^ [])],extension(2 ^ 11,bind([[_31436], [214 ^ []]]))).
% 82.46/80.20  ncf('1.1.1.1.1.1.2.2',plain,[-(singleton(214 ^ []) = singleton(214 ^ []))],extension(2 ^ 9,bind([[_31436], [singleton(214 ^ [])]]))).
% 82.46/80.20  ncf('1.1.1.1.1.2',plain,[in(214 ^ [], singleton(214 ^ [])), -(in(214 ^ [], empty_set)), in(214 ^ [], 215 ^ [])],extension(138 ^ 9,bind([[_36133], [214 ^ []]]))).
% 82.46/80.20  ncf('1.1.1.1.1.2.1',plain,[in(214 ^ [], empty_set), empty_set = empty_set],extension(113 ^ 10,bind([[_35208, _35321], [empty_set, 214 ^ []]]))).
% 82.46/80.20  ncf('1.1.1.1.1.2.1.1',plain,[-(empty_set = empty_set), empty_set = set_intersection2(215 ^ [], singleton(214 ^ [])), set_intersection2(215 ^ [], singleton(214 ^ [])) = empty_set],extension(10 ^ 11,bind([[_31747, _31749, _31751], [empty_set, set_intersection2(215 ^ [], singleton(214 ^ [])), empty_set]]))).
% 82.46/80.20  ncf('1.1.1.1.1.2.1.1.1',plain,[-(empty_set = set_intersection2(215 ^ [], singleton(214 ^ [])))],reduction('1.1.1.1')).
% 82.46/80.20  ncf('1.1.1.1.1.2.1.1.2',plain,[-(set_intersection2(215 ^ [], singleton(214 ^ [])) = empty_set)],reduction('1.1.1')).
% 82.46/80.20  ncf('1.1.1.1.1.2.2',plain,[-(in(214 ^ [], 215 ^ []))],extension(219 ^ 10)).
% 82.46/80.20  %-----------------------------------------------------
% 82.46/80.20  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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