TSTP Solution File: SEU121+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU121+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.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 12:02:15 EDT 2023

% Result   : Theorem 2.44s 3.45s
% Output   : Proof 2.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU121+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n006.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 12:56:21 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 2.44/3.45  
% 2.44/3.45  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 2.44/3.45  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.44/3.45  %-----------------------------------------------------
% 2.44/3.45  ncf(matrix, plain, [(264 ^ _40747) ^ [] : [-(subset(260 ^ [], 261 ^ []))], (266 ^ _40747) ^ [] : [-(subset(261 ^ [], 262 ^ []))], (268 ^ _40747) ^ [] : [subset(260 ^ [], 262 ^ [])], (72 ^ _40747) ^ [_43142, _43144, _43146, _43148] : [-(set_intersection2(_43148, _43144) = set_intersection2(_43146, _43142)), _43148 = _43146, _43144 = _43142], (2 ^ _40747) ^ [_40891] : [-(_40891 = _40891)], (4 ^ _40747) ^ [_40998, _41000] : [_41000 = _40998, -(_40998 = _41000)], (10 ^ _40747) ^ [_41202, _41204, _41206] : [-(_41206 = _41202), _41206 = _41204, _41204 = _41202], (20 ^ _40747) ^ [_41543, _41545, _41547, _41549] : [-(disjoint(_41547, _41543)), disjoint(_41549, _41545), _41549 = _41547, _41545 = _41543], (34 ^ _40747) ^ [_41987, _41989, _41991, _41993] : [-(in(_41991, _41987)), in(_41993, _41989), _41993 = _41991, _41989 = _41987], (48 ^ _40747) ^ [_42403, _42405] : [-(empty(_42403)), _42405 = _42403, empty(_42405)], (58 ^ _40747) ^ [_42706, _42708, _42710, _42712] : [-(subset(_42710, _42706)), subset(_42712, _42708), _42712 = _42710, _42708 = _42706], (82 ^ _40747) ^ [_43475, _43477] : [in(_43477, _43475), in(_43475, _43477)], (88 ^ _40747) ^ [_43671, _43673] : [-(set_intersection2(_43673, _43671) = set_intersection2(_43671, _43673))], (90 ^ _40747) ^ [_43801] : [_43801 = empty_set, 93 ^ _40747 : [(94 ^ _40747) ^ [_43914] : [in(_43914, _43801)]]], (96 ^ _40747) ^ [_43980] : [-(in(97 ^ [_43980], _43980)), -(_43980 = empty_set)], (113 ^ _40747) ^ [_44585, _44587] : [115 ^ _40747 : [(116 ^ _40747) ^ [] : [-(in(114 ^ [_44585, _44587], _44587))], (118 ^ _40747) ^ [] : [in(114 ^ [_44585, _44587], _44585)]], -(subset(_44587, _44585))], (103 ^ _40747) ^ [_44271, _44273] : [subset(_44273, _44271), 106 ^ _40747 : [(107 ^ _40747) ^ [_44408] : [in(_44408, _44273), -(in(_44408, _44271))]]], (144 ^ _40747) ^ [_45710, _45712, _45714] : [-(_45710 = set_intersection2(_45714, _45712)), 156 ^ _40747 : [(157 ^ _40747) ^ [] : [-(in(145 ^ [_45710, _45712, _45714], _45714))], (159 ^ _40747) ^ [] : [-(in(145 ^ [_45710, _45712, _45714], _45712))], (161 ^ _40747) ^ [] : [in(145 ^ [_45710, _45712, _45714], _45710)]], 148 ^ _40747 : [(149 ^ _40747) ^ [] : [-(in(145 ^ [_45710, _45712, _45714], _45710))], (151 ^ _40747) ^ [] : [in(145 ^ [_45710, _45712, _45714], _45714), in(145 ^ [_45710, _45712, _45714], _45712)]]], (122 ^ _40747) ^ [_44985, _44987, _44989] : [_44985 = set_intersection2(_44989, _44987), 125 ^ _40747 : [(126 ^ _40747) ^ [_45167] : [in(_45167, _44985), 129 ^ _40747 : [(130 ^ _40747) ^ [] : [-(in(_45167, _44989))], (132 ^ _40747) ^ [] : [-(in(_45167, _44987))]]], (134 ^ _40747) ^ [_45426] : [-(in(_45426, _44985)), in(_45426, _44989), in(_45426, _44987)]]], (165 ^ _40747) ^ [_46492, _46494] : [disjoint(_46494, _46492), -(set_intersection2(_46494, _46492) = empty_set)], (171 ^ _40747) ^ [_46660, _46662] : [set_intersection2(_46662, _46660) = empty_set, -(disjoint(_46662, _46660))], (177 ^ _40747) ^ [] : [true___, -(true___)], (183 ^ _40747) ^ [] : [true___, -(true___)], (189 ^ _40747) ^ [] : [-(empty(empty_set))], (191 ^ _40747) ^ [_47154, _47156] : [-(set_intersection2(_47156, _47156) = _47156)], (194 ^ _40747) ^ [] : [-(empty(192 ^ []))], (197 ^ _40747) ^ [] : [empty(195 ^ [])], (199 ^ _40747) ^ [_47430, _47432] : [-(subset(_47432, _47432))], (201 ^ _40747) ^ [_47539, _47541] : [disjoint(_47541, _47539), -(disjoint(_47539, _47541))], (207 ^ _40747) ^ [_47769, _47771] : [-(disjoint(_47771, _47769)), 211 ^ _40747 : [(212 ^ _40747) ^ [] : [-(in(210 ^ [_47769, _47771], _47771))], (214 ^ _40747) ^ [] : [-(in(210 ^ [_47769, _47771], _47769))]]], (216 ^ _40747) ^ [_48083, _48085] : [disjoint(_48085, _48083), 217 ^ _40747 : [(218 ^ _40747) ^ [_48175] : [in(_48175, _48085), in(_48175, _48083)]]], (226 ^ _40747) ^ [_48466, _48468] : [-(disjoint(_48468, _48466)), -(in(229 ^ [_48466, _48468], set_intersection2(_48468, _48466)))], (233 ^ _40747) ^ [_48701, _48703] : [234 ^ _40747 : [(235 ^ _40747) ^ [_48774] : [in(_48774, set_intersection2(_48703, _48701))]], disjoint(_48703, _48701)], (239 ^ _40747) ^ [_48926] : [empty(_48926), -(_48926 = empty_set)], (245 ^ _40747) ^ [_49128, _49130] : [in(_49130, _49128), empty(_49128)], (251 ^ _40747) ^ [_49315, _49317] : [empty(_49317), -(_49317 = _49315), empty(_49315)]], input).
% 2.44/3.45  ncf('1',plain,[subset(260 ^ [], 262 ^ [])],start(268 ^ 0)).
% 2.44/3.45  ncf('1.1',plain,[-(subset(260 ^ [], 262 ^ [])), 118 : in(114 ^ [262 ^ [], 260 ^ []], 262 ^ [])],extension(113 ^ 1,bind([[_44585, _44587], [262 ^ [], 260 ^ []]]))).
% 2.44/3.45  ncf('1.1.1',plain,[-(in(114 ^ [262 ^ [], 260 ^ []], 262 ^ [])), 126 : in(114 ^ [262 ^ [], 260 ^ []], 260 ^ []), 126 : 260 ^ [] = set_intersection2(262 ^ [], 260 ^ [])],extension(122 ^ 4,bind([[_44985, _44987, _44989, _45167], [260 ^ [], 260 ^ [], 262 ^ [], 114 ^ [262 ^ [], 260 ^ []]]]))).
% 2.44/3.45  ncf('1.1.1.1',plain,[-(in(114 ^ [262 ^ [], 260 ^ []], 260 ^ [])), in(114 ^ [262 ^ [], 260 ^ []], 260 ^ []), 114 ^ [262 ^ [], 260 ^ []] = 114 ^ [262 ^ [], 260 ^ []], 260 ^ [] = 260 ^ []],extension(34 ^ 7,bind([[_41987, _41989, _41991, _41993], [260 ^ [], 260 ^ [], 114 ^ [262 ^ [], 260 ^ []], 114 ^ [262 ^ [], 260 ^ []]]]))).
% 2.44/3.45  ncf('1.1.1.1.1',plain,[-(in(114 ^ [262 ^ [], 260 ^ []], 260 ^ [])), in(114 ^ [262 ^ [], 260 ^ []], 260 ^ []), 114 ^ [262 ^ [], 260 ^ []] = 114 ^ [262 ^ [], 260 ^ []], 260 ^ [] = 260 ^ []],extension(34 ^ 8,bind([[_41987, _41989, _41991, _41993], [260 ^ [], 260 ^ [], 114 ^ [262 ^ [], 260 ^ []], 114 ^ [262 ^ [], 260 ^ []]]]))).
% 2.44/3.45  ncf('1.1.1.1.1.1',plain,[-(in(114 ^ [262 ^ [], 260 ^ []], 260 ^ [])), in(114 ^ [262 ^ [], 260 ^ []], 260 ^ []), 114 ^ [262 ^ [], 260 ^ []] = 114 ^ [262 ^ [], 260 ^ []], 260 ^ [] = 260 ^ []],extension(34 ^ 9,bind([[_41987, _41989, _41991, _41993], [260 ^ [], 260 ^ [], 114 ^ [262 ^ [], 260 ^ []], 114 ^ [262 ^ [], 260 ^ []]]]))).
% 2.44/3.45  ncf('1.1.1.1.1.1.1',plain,[-(in(114 ^ [262 ^ [], 260 ^ []], 260 ^ []))],extension(116 ^ 10)).
% 2.44/3.45  ncf('1.1.1.1.1.1.2',plain,[-(114 ^ [262 ^ [], 260 ^ []] = 114 ^ [262 ^ [], 260 ^ []])],extension(2 ^ 10,bind([[_40891], [114 ^ [262 ^ [], 260 ^ []]]]))).
% 2.44/3.45  ncf('1.1.1.1.1.1.3',plain,[-(260 ^ [] = 260 ^ [])],extension(2 ^ 10,bind([[_40891], [260 ^ []]]))).
% 2.44/3.45  ncf('1.1.1.1.1.2',plain,[-(114 ^ [262 ^ [], 260 ^ []] = 114 ^ [262 ^ [], 260 ^ []])],extension(2 ^ 9,bind([[_40891], [114 ^ [262 ^ [], 260 ^ []]]]))).
% 2.44/3.45  ncf('1.1.1.1.1.3',plain,[-(260 ^ [] = 260 ^ [])],extension(2 ^ 9,bind([[_40891], [260 ^ []]]))).
% 2.44/3.45  ncf('1.1.1.1.2',plain,[-(114 ^ [262 ^ [], 260 ^ []] = 114 ^ [262 ^ [], 260 ^ []])],extension(2 ^ 8,bind([[_40891], [114 ^ [262 ^ [], 260 ^ []]]]))).
% 2.44/3.45  ncf('1.1.1.1.3',plain,[-(260 ^ [] = 260 ^ [])],extension(2 ^ 8,bind([[_40891], [260 ^ []]]))).
% 2.44/3.45  ncf('1.1.1.2',plain,[-(260 ^ [] = set_intersection2(262 ^ [], 260 ^ [])), 161 : in(145 ^ [260 ^ [], 260 ^ [], 262 ^ []], 260 ^ []), 151 : in(145 ^ [260 ^ [], 260 ^ [], 262 ^ []], 262 ^ []), 151 : in(145 ^ [260 ^ [], 260 ^ [], 262 ^ []], 260 ^ [])],extension(144 ^ 5,bind([[_45710, _45712, _45714], [260 ^ [], 260 ^ [], 262 ^ []]]))).
% 2.44/3.45  ncf('1.1.1.2.1',plain,[-(in(145 ^ [260 ^ [], 260 ^ [], 262 ^ []], 260 ^ []))],extension(159 ^ 8)).
% 2.44/3.45  ncf('1.1.1.2.2',plain,[-(in(145 ^ [260 ^ [], 260 ^ [], 262 ^ []], 262 ^ [])), 107 : in(145 ^ [260 ^ [], 260 ^ [], 262 ^ []], 261 ^ []), 107 : subset(261 ^ [], 262 ^ [])],extension(103 ^ 8,bind([[_44271, _44273, _44408], [262 ^ [], 261 ^ [], 145 ^ [260 ^ [], 260 ^ [], 262 ^ []]]]))).
% 2.44/3.45  ncf('1.1.1.2.2.1',plain,[-(in(145 ^ [260 ^ [], 260 ^ [], 262 ^ []], 261 ^ [])), 107 : in(145 ^ [260 ^ [], 260 ^ [], 262 ^ []], 260 ^ []), 107 : subset(260 ^ [], 261 ^ [])],extension(103 ^ 11,bind([[_44271, _44273, _44408], [261 ^ [], 260 ^ [], 145 ^ [260 ^ [], 260 ^ [], 262 ^ []]]]))).
% 2.44/3.45  ncf('1.1.1.2.2.1.1',plain,[-(in(145 ^ [260 ^ [], 260 ^ [], 262 ^ []], 260 ^ []))],extension(149 ^ 14)).
% 2.44/3.45  ncf('1.1.1.2.2.1.2',plain,[-(subset(260 ^ [], 261 ^ []))],extension(264 ^ 12)).
% 2.44/3.45  ncf('1.1.1.2.2.2',plain,[-(subset(261 ^ [], 262 ^ []))],extension(266 ^ 9)).
% 2.44/3.45  ncf('1.1.1.2.3',plain,[-(in(145 ^ [260 ^ [], 260 ^ [], 262 ^ []], 260 ^ []))],extension(149 ^ 8)).
% 2.44/3.45  %-----------------------------------------------------
% 2.44/3.45  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------