%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU317+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 12:03:07 EDT 2023

% Result   : Theorem 0.43s 1.37s
% Output   : Proof 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU317+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n019.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 12:28:42 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.43/1.37  
% 0.43/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.43/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/1.37  %-----------------------------------------------------
% 0.43/1.37  ncf(matrix, plain, [(643 ^ _85560) ^ [] : [-(top_str(641 ^ []))], (646 ^ _85560) ^ [] : [-(element(644 ^ [], powerset(the_carrier(641 ^ []))))], (648 ^ _85560) ^ [] : [subset(644 ^ [], topstr_closure(641 ^ [], 644 ^ []))], (206 ^ _85560) ^ [_91989, _91991] : [_91991 = _91989, -(powerset(_91991) = powerset(_91989))], (212 ^ _85560) ^ [_92207, _92209] : [_92209 = _92207, -(the_carrier(_92209) = the_carrier(_92207))], (218 ^ _85560) ^ [_92433, _92435, _92437, _92439] : [-(topstr_closure(_92439, _92435) = topstr_closure(_92437, _92433)), _92439 = _92437, _92435 = _92433], (2 ^ _85560) ^ [_85704] : [-(_85704 = _85704)], (4 ^ _85560) ^ [_85811, _85813] : [_85813 = _85811, -(_85811 = _85813)], (10 ^ _85560) ^ [_86015, _86017, _86019] : [-(_86019 = _86015), _86019 = _86017, _86017 = _86015], (20 ^ _85560) ^ [_86328, _86330] : [-(v1_xcmplx_0(_86328)), _86330 = _86328, v1_xcmplx_0(_86330)], (30 ^ _85560) ^ [_86623, _86625] : [-(natural(_86623)), _86625 = _86623, natural(_86625)], (40 ^ _85560) ^ [_86918, _86920] : [-(v1_xreal_0(_86918)), _86920 = _86918, v1_xreal_0(_86920)], (50 ^ _85560) ^ [_87213, _87215] : [-(v1_int_1(_87213)), _87215 = _87213, v1_int_1(_87215)], (60 ^ _85560) ^ [_87508, _87510] : [-(v1_rat_1(_87508)), _87510 = _87508, v1_rat_1(_87510)], (70 ^ _85560) ^ [_87803, _87805] : [-(one_sorted_str(_87803)), _87805 = _87803, one_sorted_str(_87805)], (80 ^ _85560) ^ [_88098, _88100] : [-(v1_membered(_88098)), _88100 = _88098, v1_membered(_88100)], (90 ^ _85560) ^ [_88393, _88395] : [-(v2_membered(_88393)), _88395 = _88393, v2_membered(_88395)], (100 ^ _85560) ^ [_88688, _88690] : [-(v3_membered(_88688)), _88690 = _88688, v3_membered(_88690)], (110 ^ _85560) ^ [_88983, _88985] : [-(v4_membered(_88983)), _88985 = _88983, v4_membered(_88985)], (120 ^ _85560) ^ [_89278, _89280] : [-(v5_membered(_89278)), _89280 = _89278, v5_membered(_89280)], (130 ^ _85560) ^ [_89601, _89603, _89605, _89607] : [-(closed_subset(_89605, _89601)), closed_subset(_89607, _89603), _89607 = _89605, _89603 = _89601], (144 ^ _85560) ^ [_90045, _90047, _90049, _90051] : [-(in(_90049, _90045)), in(_90051, _90047), _90051 = _90049, _90047 = _90045], (158 ^ _85560) ^ [_90461, _90463] : [-(empty(_90461)), _90463 = _90461, empty(_90463)], (168 ^ _85560) ^ [_90756, _90758] : [-(top_str(_90756)), _90758 = _90756, top_str(_90758)], (178 ^ _85560) ^ [_91079, _91081, _91083, _91085] : [-(element(_91083, _91079)), element(_91085, _91081), _91085 = _91083, _91081 = _91079], (192 ^ _85560) ^ [_91503, _91505, _91507, _91509] : [-(subset(_91507, _91503)), subset(_91509, _91505), _91509 = _91507, _91505 = _91503], (228 ^ _85560) ^ [_92778, _92780] : [in(_92780, _92778), in(_92778, _92780)], (234 ^ _85560) ^ [_92975] : [v1_membered(_92975), 237 ^ _85560 : [(238 ^ _85560) ^ [_93105] : [element(_93105, _92975), -(v1_xcmplx_0(_93105))]]], (244 ^ _85560) ^ [_93306] : [v2_membered(_93306), 247 ^ _85560 : [(248 ^ _85560) ^ [_93441] : [element(_93441, _93306), 251 ^ _85560 : [(252 ^ _85560) ^ [] : [-(v1_xcmplx_0(_93441))], (254 ^ _85560) ^ [] : [-(v1_xreal_0(_93441))]]]]], (256 ^ _85560) ^ [_93715] : [v3_membered(_93715), 259 ^ _85560 : [(260 ^ _85560) ^ [_93855] : [element(_93855, _93715), 263 ^ _85560 : [(264 ^ _85560) ^ [] : [-(v1_xcmplx_0(_93855))], (266 ^ _85560) ^ [] : [-(v1_xreal_0(_93855))], (268 ^ _85560) ^ [] : [-(v1_rat_1(_93855))]]]]], (270 ^ _85560) ^ [_94201] : [v4_membered(_94201), 273 ^ _85560 : [(274 ^ _85560) ^ [_94346] : [element(_94346, _94201), 277 ^ _85560 : [(278 ^ _85560) ^ [] : [-(v1_xcmplx_0(_94346))], (280 ^ _85560) ^ [] : [-(v1_xreal_0(_94346))], (282 ^ _85560) ^ [] : [-(v1_int_1(_94346))], (284 ^ _85560) ^ [] : [-(v1_rat_1(_94346))]]]]], (286 ^ _85560) ^ [_94764] : [v5_membered(_94764), 289 ^ _85560 : [(290 ^ _85560) ^ [_94914] : [element(_94914, _94764), 293 ^ _85560 : [(294 ^ _85560) ^ [] : [-(v1_xcmplx_0(_94914))], (296 ^ _85560) ^ [] : [-(natural(_94914))], (298 ^ _85560) ^ [] : [-(v1_xreal_0(_94914))], (300 ^ _85560) ^ [] : [-(v1_int_1(_94914))], (302 ^ _85560) ^ [] : [-(v1_rat_1(_94914))]]]]], (304 ^ _85560) ^ [_95404] : [empty(_95404), 307 ^ _85560 : [(308 ^ _85560) ^ [] : [-(v1_membered(_95404))], (310 ^ _85560) ^ [] : [-(v2_membered(_95404))], (312 ^ _85560) ^ [] : [-(v3_membered(_95404))], (314 ^ _85560) ^ [] : [-(v4_membered(_95404))], (316 ^ _85560) ^ [] : [-(v5_membered(_95404))]]], (318 ^ _85560) ^ [_95871] : [v1_membered(_95871), 321 ^ _85560 : [(322 ^ _85560) ^ [_96003] : [element(_96003, powerset(_95871)), -(v1_membered(_96003))]]], (328 ^ _85560) ^ [_96208] : [v2_membered(_96208), 331 ^ _85560 : [(332 ^ _85560) ^ [_96345] : [element(_96345, powerset(_96208)), 335 ^ _85560 : [(336 ^ _85560) ^ [] : [-(v1_membered(_96345))], (338 ^ _85560) ^ [] : [-(v2_membered(_96345))]]]]], (340 ^ _85560) ^ [_96623] : [v3_membered(_96623), 343 ^ _85560 : [(344 ^ _85560) ^ [_96765] : [element(_96765, powerset(_96623)), 347 ^ _85560 : [(348 ^ _85560) ^ [] : [-(v1_membered(_96765))], (350 ^ _85560) ^ [] : [-(v2_membered(_96765))], (352 ^ _85560) ^ [] : [-(v3_membered(_96765))]]]]], (354 ^ _85560) ^ [_97115] : [v4_membered(_97115), 357 ^ _85560 : [(358 ^ _85560) ^ [_97262] : [element(_97262, powerset(_97115)), 361 ^ _85560 : [(362 ^ _85560) ^ [] : [-(v1_membered(_97262))], (364 ^ _85560) ^ [] : [-(v2_membered(_97262))], (366 ^ _85560) ^ [] : [-(v3_membered(_97262))], (368 ^ _85560) ^ [] : [-(v4_membered(_97262))]]]]], (370 ^ _85560) ^ [_97684] : [v5_membered(_97684), -(v4_membered(_97684))], (376 ^ _85560) ^ [_97870] : [v5_membered(_97870), 379 ^ _85560 : [(380 ^ _85560) ^ [_98022] : [element(_98022, powerset(_97870)), 383 ^ _85560 : [(384 ^ _85560) ^ [] : [-(v1_membered(_98022))], (386 ^ _85560) ^ [] : [-(v2_membered(_98022))], (388 ^ _85560) ^ [] : [-(v3_membered(_98022))], (390 ^ _85560) ^ [] : [-(v4_membered(_98022))], (392 ^ _85560) ^ [] : [-(v5_membered(_98022))]]]]], (394 ^ _85560) ^ [_98516] : [v4_membered(_98516), -(v3_membered(_98516))], (400 ^ _85560) ^ [_98702] : [v3_membered(_98702), -(v2_membered(_98702))], (406 ^ _85560) ^ [_98888] : [v2_membered(_98888), -(v1_membered(_98888))], (422 ^ _85560) ^ [_99431, _99433] : [424 ^ _85560 : [(425 ^ _85560) ^ [] : [-(in(423 ^ [_99431, _99433], _99433))], (427 ^ _85560) ^ [] : [in(423 ^ [_99431, _99433], _99431)]], -(subset(_99433, _99431))], (412 ^ _85560) ^ [_99117, _99119] : [subset(_99119, _99117), 415 ^ _85560 : [(416 ^ _85560) ^ [_99254] : [in(_99254, _99119), -(in(_99254, _99117))]]], (431 ^ _85560) ^ [] : [true___, -(true___)], (437 ^ _85560) ^ [] : [true___, -(true___)], (443 ^ _85560) ^ [_100026, _100028] : [-(element(topstr_closure(_100028, _100026), powerset(the_carrier(_100028)))), top_str(_100028), element(_100026, powerset(the_carrier(_100028)))], (453 ^ _85560) ^ [_100331] : [top_str(_100331), -(one_sorted_str(_100331))], (459 ^ _85560) ^ [] : [true___, -(true___)], (465 ^ _85560) ^ [] : [true___, -(true___)], (471 ^ _85560) ^ [] : [true___, -(true___)], (478 ^ _85560) ^ [] : [-(top_str(476 ^ []))], (481 ^ _85560) ^ [] : [-(one_sorted_str(479 ^ []))], (484 ^ _85560) ^ [_101076] : [-(element(482 ^ [_101076], _101076))], (486 ^ _85560) ^ [_101158] : [empty(powerset(_101158))], (488 ^ _85560) ^ [] : [-(empty(empty_set))], (490 ^ _85560) ^ [] : [-(v1_membered(empty_set))], (492 ^ _85560) ^ [] : [-(v2_membered(empty_set))], (494 ^ _85560) ^ [] : [-(v3_membered(empty_set))], (496 ^ _85560) ^ [] : [-(v4_membered(empty_set))], (498 ^ _85560) ^ [] : [-(v5_membered(empty_set))], (501 ^ _85560) ^ [] : [empty(499 ^ [])], (503 ^ _85560) ^ [] : [-(v1_membered(499 ^ []))], (505 ^ _85560) ^ [] : [-(v2_membered(499 ^ []))], (507 ^ _85560) ^ [] : [-(v3_membered(499 ^ []))], (509 ^ _85560) ^ [] : [-(v4_membered(499 ^ []))], (511 ^ _85560) ^ [] : [-(v5_membered(499 ^ []))], (513 ^ _85560) ^ [_101970] : [-(empty(_101970)), 517 ^ _85560 : [(518 ^ _85560) ^ [] : [-(element(516 ^ [_101970], powerset(_101970)))], (520 ^ _85560) ^ [] : [empty(516 ^ [_101970])]]], (523 ^ _85560) ^ [_102353] : [-(element(521 ^ [_102353], powerset(_102353)))], (525 ^ _85560) ^ [_102404] : [-(empty(521 ^ [_102404]))], (527 ^ _85560) ^ [_102502, _102504] : [-(subset(_102504, _102504))], (529 ^ _85560) ^ [_102611, _102613] : [in(_102613, _102611), -(element(_102613, _102611))], (535 ^ _85560) ^ [_102821, _102823] : [element(_102823, _102821), -(empty(_102821)), -(in(_102823, _102821))], (545 ^ _85560) ^ [_103148, _103150] : [element(_103150, powerset(_103148)), -(subset(_103150, _103148))], (551 ^ _85560) ^ [_103314, _103316] : [subset(_103316, _103314), -(element(_103316, powerset(_103314)))], (557 ^ _85560) ^ [_103516] : [top_str(_103516), 560 ^ _85560 : [(561 ^ _85560) ^ [_103700] : [element(_103700, powerset(the_carrier(_103516))), 564 ^ _85560 : [(565 ^ _85560) ^ [_103885] : [in(_103885, the_carrier(_103516)), 568 ^ _85560 : [(587 ^ _85560) ^ [] : [589 ^ _85560 : [(590 ^ _85560) ^ [] : [-(element(588 ^ [_103516, _103700, _103885], powerset(the_carrier(_103516))))], (592 ^ _85560) ^ [] : [-(closed_subset(588 ^ [_103516, _103700, _103885], _103516))], (594 ^ _85560) ^ [] : [-(subset(_103700, 588 ^ [_103516, _103700, _103885]))], (596 ^ _85560) ^ [] : [in(_103885, 588 ^ [_103516, _103700, _103885])]], -(in(_103885, topstr_closure(_103516, _103700)))], (569 ^ _85560) ^ [] : [in(_103885, topstr_closure(_103516, _103700)), 572 ^ _85560 : [(573 ^ _85560) ^ [_104174] : [element(_104174, powerset(the_carrier(_103516))), -(in(_103885, _104174)), closed_subset(_104174, _103516), subset(_103700, _104174)]]]]]]]]], (600 ^ _85560) ^ [_105102, _105104, _105106] : [-(element(_105106, _105102)), in(_105106, _105104), element(_105104, powerset(_105102))], (610 ^ _85560) ^ [_105429, _105431, _105433] : [in(_105433, _105431), element(_105431, powerset(_105429)), empty(_105429)], (620 ^ _85560) ^ [_105725] : [empty(_105725), -(_105725 = empty_set)], (626 ^ _85560) ^ [_105927, _105929] : [in(_105929, _105927), empty(_105927)], (632 ^ _85560) ^ [_106114, _106116] : [empty(_106116), -(_106116 = _106114), empty(_106114)]], input).
% 0.43/1.37  ncf('1',plain,[subset(644 ^ [], topstr_closure(641 ^ [], 644 ^ []))],start(648 ^ 0)).
% 0.43/1.37  ncf('1.1',plain,[-(subset(644 ^ [], topstr_closure(641 ^ [], 644 ^ []))), 427 : in(423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []], topstr_closure(641 ^ [], 644 ^ []))],extension(422 ^ 1,bind([[_99431, _99433], [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []]]))).
% 0.43/1.37  ncf('1.1.1',plain,[-(in(423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []], topstr_closure(641 ^ [], 644 ^ []))), 594 : -(subset(644 ^ [], 588 ^ [641 ^ [], 644 ^ [], 423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []]])), 587 : in(423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []], the_carrier(641 ^ [])), 565 : element(644 ^ [], powerset(the_carrier(641 ^ []))), 561 : top_str(641 ^ [])],extension(557 ^ 4,bind([[_103516, _103700, _103885], [641 ^ [], 644 ^ [], 423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []]]]))).
% 0.43/1.37  ncf('1.1.1.1',plain,[subset(644 ^ [], 588 ^ [641 ^ [], 644 ^ [], 423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []]]), 416 : in(423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []], 644 ^ []), 416 : -(in(423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []], 588 ^ [641 ^ [], 644 ^ [], 423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []]]))],extension(412 ^ 13,bind([[_99117, _99119, _99254], [588 ^ [641 ^ [], 644 ^ [], 423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []]], 644 ^ [], 423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []]]]))).
% 0.43/1.37  ncf('1.1.1.1.1',plain,[-(in(423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []], 644 ^ []))],extension(425 ^ 16)).
% 0.43/1.37  ncf('1.1.1.1.2',plain,[in(423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []], 588 ^ [641 ^ [], 644 ^ [], 423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []]])],extension(596 ^ 16)).
% 0.43/1.37  ncf('1.1.1.2',plain,[-(in(423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []], the_carrier(641 ^ []))), 416 : in(423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []], 644 ^ []), 416 : subset(644 ^ [], the_carrier(641 ^ []))],extension(412 ^ 9,bind([[_99117, _99119, _99254], [the_carrier(641 ^ []), 644 ^ [], 423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []]]]))).
% 0.43/1.37  ncf('1.1.1.2.1',plain,[-(in(423 ^ [topstr_closure(641 ^ [], 644 ^ []), 644 ^ []], 644 ^ []))],extension(425 ^ 12)).
% 0.43/1.37  ncf('1.1.1.2.2',plain,[-(subset(644 ^ [], the_carrier(641 ^ []))), element(644 ^ [], powerset(the_carrier(641 ^ [])))],extension(545 ^ 10,bind([[_103148, _103150], [the_carrier(641 ^ []), 644 ^ []]]))).
% 0.43/1.37  ncf('1.1.1.2.2.1',plain,[-(element(644 ^ [], powerset(the_carrier(641 ^ []))))],extension(646 ^ 11)).
% 0.43/1.37  ncf('1.1.1.3',plain,[-(element(644 ^ [], powerset(the_carrier(641 ^ []))))],extension(646 ^ 7)).
% 0.43/1.37  ncf('1.1.1.4',plain,[-(top_str(641 ^ []))],extension(643 ^ 5)).
% 0.43/1.37  %-----------------------------------------------------
% 0.43/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------