TSTP Solution File: SET638+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET638+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.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 11:56:12 EDT 2023

% Result   : Theorem 49.08s 47.97s
% Output   : Proof 49.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET638+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May 18 19:24:33 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 49.08/47.97  
% 49.08/47.97  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 49.08/47.97  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.08/47.97  %-----------------------------------------------------
% 49.08/47.97  ncf(matrix, plain, [(222 ^ _43594) ^ [] : [subset(214 ^ [], 215 ^ [])], (220 ^ _43594) ^ [] : [-(intersection(214 ^ [], 216 ^ []) = empty_set)], (218 ^ _43594) ^ [] : [-(subset(214 ^ [], union(215 ^ [], 216 ^ [])))], !, (86 ^ _35960) ^ [_38869] : [-(union(_38869, empty_set) = _38869)], (138 ^ _35960) ^ [_40746, _40748] : [140 ^ _35960 : [(143 ^ _35960) ^ [] : [member(139 ^ [_40746, _40748], _40746)], (141 ^ _35960) ^ [] : [-(member(139 ^ [_40746, _40748], _40748))]], -(subset(_40748, _40746))], (108 ^ _35960) ^ [_39685] : [member(_39685, empty_set)], (110 ^ _35960) ^ [_39835, _39837, _39839] : [member(_39835, intersection(_39839, _39837)), 113 ^ _35960 : [(116 ^ _35960) ^ [] : [-(member(_39835, _39837))], (114 ^ _35960) ^ [] : [-(member(_39835, _39839))]]], (184 ^ _35960) ^ [_42409, _42411] : [_42411 = _42409, 187 ^ _35960 : [(194 ^ _35960) ^ [_42747] : [member(_42747, _42409), -(member(_42747, _42411))], (188 ^ _35960) ^ [_42575] : [member(_42575, _42411), -(member(_42575, _42409))]]], (200 ^ _35960) ^ [_42926, _42928] : [-(_42928 = _42926), 204 ^ _35960 : [(207 ^ _35960) ^ [] : [member(201 ^ [_42926, _42928], _42926)], (205 ^ _35960) ^ [] : [-(member(201 ^ [_42926, _42928], _42928))]], 208 ^ _35960 : [(211 ^ _35960) ^ [] : [member(201 ^ [_42926, _42928], _42928)], (209 ^ _35960) ^ [] : [-(member(201 ^ [_42926, _42928], _42926))]]], (90 ^ _35960) ^ [_39147, _39149, _39151] : [member(_39147, union(_39151, _39149)), -(member(_39147, _39151)), -(member(_39147, _39149))], (100 ^ _35960) ^ [_39415, _39417, _39419] : [101 ^ _35960 : [(104 ^ _35960) ^ [] : [member(_39415, _39417)], (102 ^ _35960) ^ [] : [member(_39415, _39419)]], -(member(_39415, union(_39419, _39417)))], (171 ^ _35960) ^ [_41963] : [empty(_41963), 174 ^ _35960 : [(175 ^ _35960) ^ [_42074] : [member(_42074, _41963)]]], (177 ^ _35960) ^ [_42140] : [-(member(178 ^ [_42140], _42140)), -(empty(_42140))], (155 ^ _35960) ^ [_41369, _41371] : [-(_41371 = _41369), subset(_41371, _41369), subset(_41369, _41371)], (165 ^ _35960) ^ [_41655, _41657] : [-(union(_41657, _41655) = union(_41655, _41657))], (10 ^ _35960) ^ [_36395, _36397, _36399] : [-(_36399 = _36395), _36399 = _36397, _36397 = _36395], (78 ^ _35960) ^ [_38570, _38572] : [-(subset(intersection(_38572, _38570), _38572))], (167 ^ _35960) ^ [_41755, _41757] : [-(intersection(_41757, _41755) = intersection(_41755, _41757))], (128 ^ _35960) ^ [_40432, _40434] : [subset(_40434, _40432), 131 ^ _35960 : [(132 ^ _35960) ^ [_40569] : [member(_40569, _40434), -(member(_40569, _40432))]]], (58 ^ _35960) ^ [_37909, _37911, _37913, _37915] : [-(union(_37915, _37911) = union(_37913, _37909)), _37915 = _37913, _37911 = _37909], (118 ^ _35960) ^ [_40086, _40088, _40090] : [-(member(_40086, intersection(_40090, _40088))), member(_40086, _40090), member(_40086, _40088)], (147 ^ _35960) ^ [_41132, _41134] : [_41134 = _41132, 150 ^ _35960 : [(153 ^ _35960) ^ [] : [-(subset(_41132, _41134))], (151 ^ _35960) ^ [] : [-(subset(_41134, _41132))]]], (88 ^ _35960) ^ [_38978, _38980, _38982] : [-(intersection(_38982, union(_38980, _38978)) = union(intersection(_38982, _38980), intersection(_38982, _38978)))], (4 ^ _35960) ^ [_36191, _36193] : [_36193 = _36191, -(_36191 = _36193)], (44 ^ _35960) ^ [_37455, _37457, _37459, _37461] : [-(subset(_37459, _37455)), subset(_37461, _37457), _37461 = _37459, _37457 = _37455], (30 ^ _35960) ^ [_37031, _37033, _37035, _37037] : [-(member(_37035, _37031)), member(_37037, _37033), _37037 = _37035, _37033 = _37031], (169 ^ _35960) ^ [_41841] : [-(subset(_41841, _41841))], (2 ^ _35960) ^ [_36084] : [-(_36084 = _36084)], (80 ^ _35960) ^ [_38682, _38684] : [subset(_38684, _38682), -(intersection(_38684, _38682) = _38684)], (20 ^ _35960) ^ [_36708, _36710] : [-(empty(_36708)), _36710 = _36708, empty(_36710)], (68 ^ _35960) ^ [_38248, _38250, _38252, _38254] : [-(intersection(_38254, _38250) = intersection(_38252, _38248)), _38254 = _38252, _38250 = _38248]], input).
% 49.08/47.97  ncf('1',plain,[-(intersection(214 ^ [], 216 ^ []) = empty_set)],start(220 ^ 0)).
% 49.08/47.97  ncf('1.1',plain,[intersection(214 ^ [], 216 ^ []) = empty_set, 188 : member(139 ^ [215 ^ [], 214 ^ []], intersection(214 ^ [], 216 ^ [])), 188 : -(member(139 ^ [215 ^ [], 214 ^ []], empty_set))],extension(184 ^ 1,bind([[_42409, _42411, _42575], [empty_set, intersection(214 ^ [], 216 ^ []), 139 ^ [215 ^ [], 214 ^ []]]]))).
% 49.08/47.97  ncf('1.1.1',plain,[-(member(139 ^ [215 ^ [], 214 ^ []], intersection(214 ^ [], 216 ^ []))), member(139 ^ [215 ^ [], 214 ^ []], 214 ^ []), member(139 ^ [215 ^ [], 214 ^ []], 216 ^ [])],extension(118 ^ 4,bind([[_40086, _40088, _40090], [139 ^ [215 ^ [], 214 ^ []], 216 ^ [], 214 ^ []]]))).
% 49.08/47.97  ncf('1.1.1.1',plain,[-(member(139 ^ [215 ^ [], 214 ^ []], 214 ^ [])), -(subset(214 ^ [], 215 ^ []))],extension(138 ^ 5,bind([[_40746, _40748], [215 ^ [], 214 ^ []]]))).
% 49.08/47.97  ncf('1.1.1.1.1',plain,[subset(214 ^ [], 215 ^ [])],extension(222 ^ 6)).
% 49.08/47.97  ncf('1.1.1.2',plain,[-(member(139 ^ [215 ^ [], 214 ^ []], 216 ^ [])), member(139 ^ [215 ^ [], 214 ^ []], union(215 ^ [], 216 ^ [])), -(member(139 ^ [215 ^ [], 214 ^ []], 215 ^ []))],extension(90 ^ 5,bind([[_39147, _39149, _39151], [139 ^ [215 ^ [], 214 ^ []], 216 ^ [], 215 ^ []]]))).
% 49.08/47.97  ncf('1.1.1.2.1',plain,[-(member(139 ^ [215 ^ [], 214 ^ []], union(215 ^ [], 216 ^ []))), member(139 ^ [215 ^ [], 214 ^ []], intersection(214 ^ [], union(215 ^ [], 216 ^ [])))],extension(110 ^ 6,bind([[_39835, _39837, _39839], [139 ^ [215 ^ [], 214 ^ []], union(215 ^ [], 216 ^ []), 214 ^ []]]))).
% 49.08/47.97  ncf('1.1.1.2.1.1',plain,[-(member(139 ^ [215 ^ [], 214 ^ []], intersection(214 ^ [], union(215 ^ [], 216 ^ [])))), 194 : member(139 ^ [215 ^ [], 214 ^ []], 214 ^ []), 194 : intersection(214 ^ [], union(215 ^ [], 216 ^ [])) = 214 ^ []],extension(184 ^ 7,bind([[_42409, _42411, _42747], [214 ^ [], intersection(214 ^ [], union(215 ^ [], 216 ^ [])), 139 ^ [215 ^ [], 214 ^ []]]]))).
% 49.08/47.97  ncf('1.1.1.2.1.1.1',plain,[-(member(139 ^ [215 ^ [], 214 ^ []], 214 ^ [])), -(subset(214 ^ [], 215 ^ []))],extension(138 ^ 10,bind([[_40746, _40748], [215 ^ [], 214 ^ []]]))).
% 49.08/47.97  ncf('1.1.1.2.1.1.1.1',plain,[subset(214 ^ [], 215 ^ [])],extension(222 ^ 11)).
% 49.08/47.97  ncf('1.1.1.2.1.1.2',plain,[-(intersection(214 ^ [], union(215 ^ [], 216 ^ [])) = 214 ^ []), subset(214 ^ [], union(215 ^ [], 216 ^ []))],extension(80 ^ 8,bind([[_38682, _38684], [union(215 ^ [], 216 ^ []), 214 ^ []]]))).
% 49.08/47.97  ncf('1.1.1.2.1.1.2.1',plain,[-(subset(214 ^ [], union(215 ^ [], 216 ^ [])))],extension(218 ^ 9)).
% 49.08/47.97  ncf('1.1.1.2.2',plain,[member(139 ^ [215 ^ [], 214 ^ []], 215 ^ []), -(subset(214 ^ [], 215 ^ []))],extension(138 ^ 6,bind([[_40746, _40748], [215 ^ [], 214 ^ []]]))).
% 49.08/47.97  ncf('1.1.1.2.2.1',plain,[subset(214 ^ [], 215 ^ [])],extension(222 ^ 7)).
% 49.08/47.97  ncf('1.1.2',plain,[member(139 ^ [215 ^ [], 214 ^ []], empty_set)],extension(108 ^ 4,bind([[_39685], [139 ^ [215 ^ [], 214 ^ []]]]))).
% 49.08/47.97  %-----------------------------------------------------
% 49.08/47.97  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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