TSTP Solution File: SEU126+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU126+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 12:02:17 EDT 2023

% Result   : Theorem 0.63s 1.37s
% Output   : Proof 0.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU126+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 13:05:00 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.63/1.37  
% 0.63/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.63/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/1.37  %-----------------------------------------------------
% 0.63/1.37  ncf(matrix, plain, [(388 ^ _54187) ^ [] : [-(subset(385 ^ [], 386 ^ []))], (390 ^ _54187) ^ [] : [set_union2(385 ^ [], 386 ^ []) = 386 ^ []], (72 ^ _54187) ^ [_56602, _56604, _56606, _56608] : [-(set_intersection2(_56608, _56604) = set_intersection2(_56606, _56602)), _56608 = _56606, _56604 = _56602], (82 ^ _54187) ^ [_56941, _56943, _56945, _56947] : [-(set_union2(_56947, _56943) = set_union2(_56945, _56941)), _56947 = _56945, _56943 = _56941], (2 ^ _54187) ^ [_54331] : [-(_54331 = _54331)], (4 ^ _54187) ^ [_54438, _54440] : [_54440 = _54438, -(_54438 = _54440)], (10 ^ _54187) ^ [_54642, _54644, _54646] : [-(_54646 = _54642), _54646 = _54644, _54644 = _54642], (20 ^ _54187) ^ [_54983, _54985, _54987, _54989] : [-(disjoint(_54987, _54983)), disjoint(_54989, _54985), _54989 = _54987, _54985 = _54983], (34 ^ _54187) ^ [_55427, _55429, _55431, _55433] : [-(in(_55431, _55427)), in(_55433, _55429), _55433 = _55431, _55429 = _55427], (48 ^ _54187) ^ [_55843, _55845] : [-(empty(_55843)), _55845 = _55843, empty(_55845)], (58 ^ _54187) ^ [_56146, _56148, _56150, _56152] : [-(subset(_56150, _56146)), subset(_56152, _56148), _56152 = _56150, _56148 = _56146], (92 ^ _54187) ^ [_57278, _57280] : [in(_57280, _57278), in(_57278, _57280)], (98 ^ _54187) ^ [_57474, _57476] : [-(set_union2(_57476, _57474) = set_union2(_57474, _57476))], (100 ^ _54187) ^ [_57574, _57576] : [-(set_intersection2(_57576, _57574) = set_intersection2(_57574, _57576))], (102 ^ _54187) ^ [_57718, _57720] : [_57720 = _57718, 105 ^ _54187 : [(106 ^ _54187) ^ [] : [-(subset(_57720, _57718))], (108 ^ _54187) ^ [] : [-(subset(_57718, _57720))]]], (110 ^ _54187) ^ [_57955, _57957] : [-(_57957 = _57955), subset(_57957, _57955), subset(_57955, _57957)], (120 ^ _54187) ^ [_58271] : [_58271 = empty_set, 123 ^ _54187 : [(124 ^ _54187) ^ [_58384] : [in(_58384, _58271)]]], (126 ^ _54187) ^ [_58450] : [-(in(127 ^ [_58450], _58450)), -(_58450 = empty_set)], (155 ^ _54187) ^ [_59480, _59482, _59484] : [-(_59480 = set_union2(_59484, _59482)), 159 ^ _54187 : [(160 ^ _54187) ^ [] : [-(in(156 ^ [_59480, _59482, _59484], _59480))], (162 ^ _54187) ^ [] : [in(156 ^ [_59480, _59482, _59484], _59484)], (164 ^ _54187) ^ [] : [in(156 ^ [_59480, _59482, _59484], _59482)]], 165 ^ _54187 : [(172 ^ _54187) ^ [] : [in(156 ^ [_59480, _59482, _59484], _59480)], (166 ^ _54187) ^ [] : [-(in(156 ^ [_59480, _59482, _59484], _59484)), -(in(156 ^ [_59480, _59482, _59484], _59482))]]], (133 ^ _54187) ^ [_58755, _58757, _58759] : [_58755 = set_union2(_58759, _58757), 136 ^ _54187 : [(147 ^ _54187) ^ [_59215] : [148 ^ _54187 : [(149 ^ _54187) ^ [] : [in(_59215, _58759)], (151 ^ _54187) ^ [] : [in(_59215, _58757)]], -(in(_59215, _58755))], (137 ^ _54187) ^ [_58937] : [in(_58937, _58755), -(in(_58937, _58759)), -(in(_58937, _58757))]]], (186 ^ _54187) ^ [_60574, _60576] : [188 ^ _54187 : [(189 ^ _54187) ^ [] : [-(in(187 ^ [_60574, _60576], _60576))], (191 ^ _54187) ^ [] : [in(187 ^ [_60574, _60576], _60574)]], -(subset(_60576, _60574))], (176 ^ _54187) ^ [_60260, _60262] : [subset(_60262, _60260), 179 ^ _54187 : [(180 ^ _54187) ^ [_60397] : [in(_60397, _60262), -(in(_60397, _60260))]]], (217 ^ _54187) ^ [_61699, _61701, _61703] : [-(_61699 = set_intersection2(_61703, _61701)), 229 ^ _54187 : [(230 ^ _54187) ^ [] : [-(in(218 ^ [_61699, _61701, _61703], _61703))], (232 ^ _54187) ^ [] : [-(in(218 ^ [_61699, _61701, _61703], _61701))], (234 ^ _54187) ^ [] : [in(218 ^ [_61699, _61701, _61703], _61699)]], 221 ^ _54187 : [(222 ^ _54187) ^ [] : [-(in(218 ^ [_61699, _61701, _61703], _61699))], (224 ^ _54187) ^ [] : [in(218 ^ [_61699, _61701, _61703], _61703), in(218 ^ [_61699, _61701, _61703], _61701)]]], (195 ^ _54187) ^ [_60974, _60976, _60978] : [_60974 = set_intersection2(_60978, _60976), 198 ^ _54187 : [(199 ^ _54187) ^ [_61156] : [in(_61156, _60974), 202 ^ _54187 : [(203 ^ _54187) ^ [] : [-(in(_61156, _60978))], (205 ^ _54187) ^ [] : [-(in(_61156, _60976))]]], (207 ^ _54187) ^ [_61415] : [-(in(_61415, _60974)), in(_61415, _60978), in(_61415, _60976)]]], (238 ^ _54187) ^ [_62481, _62483] : [disjoint(_62483, _62481), -(set_intersection2(_62483, _62481) = empty_set)], (244 ^ _54187) ^ [_62649, _62651] : [set_intersection2(_62651, _62649) = empty_set, -(disjoint(_62651, _62649))], (250 ^ _54187) ^ [] : [true___, -(true___)], (256 ^ _54187) ^ [] : [true___, -(true___)], (262 ^ _54187) ^ [] : [true___, -(true___)], (268 ^ _54187) ^ [] : [-(empty(empty_set))], (270 ^ _54187) ^ [_63277, _63279] : [-(empty(_63279)), empty(set_union2(_63279, _63277))], (276 ^ _54187) ^ [_63493, _63495] : [-(empty(_63495)), empty(set_union2(_63493, _63495))], (282 ^ _54187) ^ [_63694, _63696] : [-(set_union2(_63696, _63696) = _63696)], (284 ^ _54187) ^ [_63791, _63793] : [-(set_intersection2(_63793, _63793) = _63793)], (287 ^ _54187) ^ [] : [-(empty(285 ^ []))], (290 ^ _54187) ^ [] : [empty(288 ^ [])], (292 ^ _54187) ^ [_64067, _64069] : [-(subset(_64069, _64069))], (294 ^ _54187) ^ [_64176, _64178] : [disjoint(_64178, _64176), -(disjoint(_64176, _64178))], (300 ^ _54187) ^ [_64357] : [-(set_union2(_64357, empty_set) = _64357)], (302 ^ _54187) ^ [_64481, _64483, _64485] : [-(subset(_64485, _64481)), subset(_64485, _64483), subset(_64483, _64481)], (312 ^ _54187) ^ [_64761] : [-(subset(empty_set, _64761))], (314 ^ _54187) ^ [_64888, _64890] : [-(disjoint(_64890, _64888)), 318 ^ _54187 : [(319 ^ _54187) ^ [] : [-(in(317 ^ [_64888, _64890], _64890))], (321 ^ _54187) ^ [] : [-(in(317 ^ [_64888, _64890], _64888))]]], (323 ^ _54187) ^ [_65202, _65204] : [disjoint(_65204, _65202), 324 ^ _54187 : [(325 ^ _54187) ^ [_65294] : [in(_65294, _65204), in(_65294, _65202)]]], (333 ^ _54187) ^ [_65551] : [subset(_65551, empty_set), -(_65551 = empty_set)], (339 ^ _54187) ^ [_65775, _65777] : [-(disjoint(_65777, _65775)), -(in(342 ^ [_65775, _65777], set_intersection2(_65777, _65775)))], (346 ^ _54187) ^ [_66010, _66012] : [347 ^ _54187 : [(348 ^ _54187) ^ [_66083] : [in(_66083, set_intersection2(_66012, _66010))]], disjoint(_66012, _66010)], (352 ^ _54187) ^ [_66235] : [empty(_66235), -(_66235 = empty_set)], (358 ^ _54187) ^ [_66437, _66439] : [in(_66439, _66437), empty(_66437)], (364 ^ _54187) ^ [_66629, _66631] : [-(subset(_66631, set_union2(_66631, _66629)))], (366 ^ _54187) ^ [_66741, _66743] : [empty(_66743), -(_66743 = _66741), empty(_66741)], (376 ^ _54187) ^ [_67032, _67034, _67036] : [-(subset(set_union2(_67036, _67032), _67034)), subset(_67036, _67034), subset(_67032, _67034)]], input).
% 0.63/1.37  ncf('1',plain,[set_union2(385 ^ [], 386 ^ []) = 386 ^ []],start(390 ^ 0)).
% 0.63/1.37  ncf('1.1',plain,[-(set_union2(385 ^ [], 386 ^ []) = 386 ^ []), 386 ^ [] = set_union2(385 ^ [], 386 ^ [])],extension(4 ^ 1,bind([[_54438, _54440], [set_union2(385 ^ [], 386 ^ []), 386 ^ []]]))).
% 0.63/1.37  ncf('1.1.1',plain,[-(386 ^ [] = set_union2(385 ^ [], 386 ^ [])), 160 : -(in(156 ^ [386 ^ [], 386 ^ [], 385 ^ []], 386 ^ [])), 172 : in(156 ^ [386 ^ [], 386 ^ [], 385 ^ []], 386 ^ [])],extension(155 ^ 2,bind([[_59480, _59482, _59484], [386 ^ [], 386 ^ [], 385 ^ []]]))).
% 0.63/1.37  ncf('1.1.1.1',plain,[in(156 ^ [386 ^ [], 386 ^ [], 385 ^ []], 386 ^ [])],extension(164 ^ 5)).
% 0.63/1.37  ncf('1.1.1.2',plain,[-(in(156 ^ [386 ^ [], 386 ^ [], 385 ^ []], 386 ^ [])), -(in(156 ^ [386 ^ [], 386 ^ [], 385 ^ []], 385 ^ []))],extension(166 ^ 5)).
% 0.63/1.37  ncf('1.1.1.2.1',plain,[in(156 ^ [386 ^ [], 386 ^ [], 385 ^ []], 385 ^ []), 180 : -(in(156 ^ [386 ^ [], 386 ^ [], 385 ^ []], 386 ^ [])), 180 : subset(385 ^ [], 386 ^ [])],extension(176 ^ 6,bind([[_60260, _60262, _60397], [386 ^ [], 385 ^ [], 156 ^ [386 ^ [], 386 ^ [], 385 ^ []]]]))).
% 0.63/1.37  ncf('1.1.1.2.1.1',plain,[in(156 ^ [386 ^ [], 386 ^ [], 385 ^ []], 386 ^ [])],reduction('1.1.1')).
% 0.63/1.37  ncf('1.1.1.2.1.2',plain,[-(subset(385 ^ [], 386 ^ []))],extension(388 ^ 7)).
% 0.63/1.37  %-----------------------------------------------------
% 0.63/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------