%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU194+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n011.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 12:02:36 EDT 2023

% Result   : Theorem 0.38s 1.40s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU194+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n011.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 13:39:02 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.38/1.40  
% 0.38/1.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.40  %-----------------------------------------------------
% 0.38/1.40  ncf(matrix, plain, [(315 ^ _45323) ^ [] : [-(relation(313 ^ []))], (317 ^ _45323) ^ [] : [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])) = set_intersection2(relation_dom(313 ^ []), 312 ^ [])], (68 ^ _45323) ^ [_47589, _47591, _47593, _47595] : [-(relation_dom_restriction(_47595, _47591) = relation_dom_restriction(_47593, _47589)), _47595 = _47593, _47591 = _47589], (88 ^ _45323) ^ [_48259, _48261] : [_48261 = _48259, -(relation_dom(_48261) = relation_dom(_48259))], (78 ^ _45323) ^ [_47948, _47950, _47952, _47954] : [-(set_intersection2(_47954, _47950) = set_intersection2(_47952, _47948)), _47954 = _47952, _47950 = _47948], (2 ^ _45323) ^ [_45467] : [-(_45467 = _45467)], (4 ^ _45323) ^ [_45574, _45576] : [_45576 = _45574, -(_45574 = _45576)], (10 ^ _45323) ^ [_45778, _45780, _45782] : [-(_45782 = _45778), _45782 = _45780, _45780 = _45778], (20 ^ _45323) ^ [_46119, _46121, _46123, _46125] : [-(element(_46123, _46119)), element(_46125, _46121), _46125 = _46123, _46121 = _46119], (34 ^ _45323) ^ [_46563, _46565, _46567, _46569] : [-(in(_46567, _46563)), in(_46569, _46565), _46569 = _46567, _46565 = _46563], (48 ^ _45323) ^ [_46979, _46981] : [-(empty(_46979)), _46981 = _46979, empty(_46981)], (58 ^ _45323) ^ [_47254, _47256] : [-(relation(_47254)), _47256 = _47254, relation(_47256)], (94 ^ _45323) ^ [_48487, _48489] : [in(_48489, _48487), in(_48487, _48489)], (100 ^ _45323) ^ [_48684] : [empty(_48684), -(relation(_48684))], (106 ^ _45323) ^ [_48869, _48871] : [-(set_intersection2(_48871, _48869) = set_intersection2(_48869, _48871))], (130 ^ _45323) ^ [_49752, _49754, _49756] : [-(_49752 = set_intersection2(_49756, _49754)), 142 ^ _45323 : [(143 ^ _45323) ^ [] : [-(in(131 ^ [_49752, _49754, _49756], _49756))], (145 ^ _45323) ^ [] : [-(in(131 ^ [_49752, _49754, _49756], _49754))], (147 ^ _45323) ^ [] : [in(131 ^ [_49752, _49754, _49756], _49752)]], 134 ^ _45323 : [(135 ^ _45323) ^ [] : [-(in(131 ^ [_49752, _49754, _49756], _49752))], (137 ^ _45323) ^ [] : [in(131 ^ [_49752, _49754, _49756], _49756), in(131 ^ [_49752, _49754, _49756], _49754)]]], (108 ^ _45323) ^ [_49027, _49029, _49031] : [_49027 = set_intersection2(_49031, _49029), 111 ^ _45323 : [(112 ^ _45323) ^ [_49209] : [in(_49209, _49027), 115 ^ _45323 : [(116 ^ _45323) ^ [] : [-(in(_49209, _49031))], (118 ^ _45323) ^ [] : [-(in(_49209, _49029))]]], (120 ^ _45323) ^ [_49468] : [-(in(_49468, _49027)), in(_49468, _49031), in(_49468, _49029)]]], (151 ^ _45323) ^ [] : [true___, -(true___)], (157 ^ _45323) ^ [] : [true___, -(true___)], (163 ^ _45323) ^ [] : [true___, -(true___)], (169 ^ _45323) ^ [_50862, _50864] : [relation(_50864), -(relation(relation_dom_restriction(_50864, _50862)))], (175 ^ _45323) ^ [] : [true___, -(true___)], (182 ^ _45323) ^ [_51203] : [-(element(180 ^ [_51203], _51203))], (184 ^ _45323) ^ [_51315, _51317] : [-(relation(set_intersection2(_51317, _51315))), relation(_51317), relation(_51315)], (194 ^ _45323) ^ [] : [-(empty(empty_set))], (196 ^ _45323) ^ [] : [-(empty(empty_set))], (198 ^ _45323) ^ [] : [-(relation(empty_set))], (200 ^ _45323) ^ [_51761] : [empty(relation_dom(_51761)), -(empty(_51761)), relation(_51761)], (210 ^ _45323) ^ [_52038] : [empty(_52038), 213 ^ _45323 : [(214 ^ _45323) ^ [] : [-(empty(relation_dom(_52038)))], (216 ^ _45323) ^ [] : [-(relation(relation_dom(_52038)))]]], (218 ^ _45323) ^ [_52302, _52304] : [-(set_intersection2(_52304, _52304) = _52304)], (221 ^ _45323) ^ [] : [-(empty(219 ^ []))], (223 ^ _45323) ^ [] : [-(relation(219 ^ []))], (226 ^ _45323) ^ [] : [-(empty(224 ^ []))], (229 ^ _45323) ^ [] : [empty(227 ^ [])], (231 ^ _45323) ^ [] : [-(relation(227 ^ []))], (234 ^ _45323) ^ [] : [empty(232 ^ [])], (236 ^ _45323) ^ [_52892, _52894] : [in(_52894, _52892), -(element(_52894, _52892))], (242 ^ _45323) ^ [_53073] : [-(set_intersection2(_53073, empty_set) = empty_set)], (244 ^ _45323) ^ [_53183, _53185] : [element(_53185, _53183), -(empty(_53183)), -(in(_53185, _53183))], (254 ^ _45323) ^ [_53481, _53483] : [-(_53483 = _53481), 258 ^ _45323 : [(259 ^ _45323) ^ [] : [-(in(255 ^ [_53481, _53483], _53483))], (261 ^ _45323) ^ [] : [in(255 ^ [_53481, _53483], _53481)]], 262 ^ _45323 : [(263 ^ _45323) ^ [] : [-(in(255 ^ [_53481, _53483], _53481))], (265 ^ _45323) ^ [] : [in(255 ^ [_53481, _53483], _53483)]]], (269 ^ _45323) ^ [_53997] : [empty(_53997), -(_53997 = empty_set)], (275 ^ _45323) ^ [_54199, _54201] : [in(_54201, _54199), empty(_54199)], (303 ^ _45323) ^ [_55059, _55061] : [empty(_55061), -(_55061 = _55059), empty(_55059)], (281 ^ _45323) ^ [_54420, _54422, _54424] : [relation(_54420), 284 ^ _45323 : [(285 ^ _45323) ^ [] : [in(_54424, relation_dom(relation_dom_restriction(_54420, _54422))), 288 ^ _45323 : [(289 ^ _45323) ^ [] : [-(in(_54424, _54422))], (291 ^ _45323) ^ [] : [-(in(_54424, relation_dom(_54420)))]]], (293 ^ _45323) ^ [] : [-(in(_54424, relation_dom(relation_dom_restriction(_54420, _54422)))), in(_54424, _54422), in(_54424, relation_dom(_54420))]]]], input).
% 0.38/1.40  ncf('1',plain,[relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])) = set_intersection2(relation_dom(313 ^ []), 312 ^ [])],start(317 ^ 0)).
% 0.38/1.40  ncf('1.1',plain,[-(relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])) = set_intersection2(relation_dom(313 ^ []), 312 ^ [])), 143 : -(in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], relation_dom(313 ^ []))), 137 : in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], relation_dom(313 ^ [])), 137 : in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], 312 ^ [])],extension(130 ^ 1,bind([[_49752, _49754, _49756], [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])]]))).
% 0.38/1.40  ncf('1.1.1',plain,[in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], relation_dom(313 ^ [])), 293 : -(in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])))), 293 : in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], 312 ^ []), 293 : relation(313 ^ [])],extension(281 ^ 4,bind([[_54420, _54422, _54424], [313 ^ [], 312 ^ [], 131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])]]]))).
% 0.38/1.40  ncf('1.1.1.1',plain,[in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])))],extension(147 ^ 7)).
% 0.38/1.40  ncf('1.1.1.2',plain,[-(in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], 312 ^ []))],extension(145 ^ 7)).
% 0.38/1.40  ncf('1.1.1.3',plain,[-(relation(313 ^ []))],extension(315 ^ 5)).
% 0.38/1.40  ncf('1.1.2',plain,[-(in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], relation_dom(313 ^ []))), 285 : in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], relation_dom(relation_dom_restriction(313 ^ [], 312 ^ []))), 285 : relation(313 ^ [])],extension(281 ^ 4,bind([[_54420, _54422, _54424], [313 ^ [], 312 ^ [], 131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])]]]))).
% 0.38/1.40  ncf('1.1.2.1',plain,[-(in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], relation_dom(relation_dom_restriction(313 ^ [], 312 ^ []))))],extension(135 ^ 7)).
% 0.38/1.40  ncf('1.1.2.2',plain,[-(relation(313 ^ []))],extension(315 ^ 5)).
% 0.38/1.40  ncf('1.1.3',plain,[-(in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], 312 ^ [])), 285 : in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], relation_dom(relation_dom_restriction(313 ^ [], 312 ^ []))), 285 : relation(313 ^ [])],extension(281 ^ 4,bind([[_54420, _54422, _54424], [313 ^ [], 312 ^ [], 131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])]]]))).
% 0.38/1.40  ncf('1.1.3.1',plain,[-(in(131 ^ [relation_dom(relation_dom_restriction(313 ^ [], 312 ^ [])), 312 ^ [], relation_dom(313 ^ [])], relation_dom(relation_dom_restriction(313 ^ [], 312 ^ []))))],extension(135 ^ 7)).
% 0.38/1.40  ncf('1.1.3.2',plain,[-(relation(313 ^ []))],extension(315 ^ 5)).
% 0.38/1.40  %-----------------------------------------------------
% 0.38/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------