TSTP Solution File: NUM405+1 by nanoCoP---2.0

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% File     : nanoCoP---2.0
% Problem  : NUM405+1 : TPTP v8.1.2. Released v3.2.0.
% 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 11:44:32 EDT 2023

% Result   : Theorem 160.95s 156.34s
% Output   : Proof 160.95s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM405+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % 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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 17:06:36 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 160.95/156.34  
% 160.95/156.34  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 160.95/156.34  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 160.95/156.34  %-----------------------------------------------------
% 160.95/156.34  ncf(matrix, plain, [(387 ^ _67246) ^ [_67291] : [ordinal(_67291), -(in(_67291, 385 ^ []))], !, (205 ^ _55110) ^ [] : [-(empty(empty_set))], (376 ^ _55110) ^ [_66685, _66687] : [empty(_66687), -(_66687 = _66685), empty(_66685)], (354 ^ _55110) ^ [_65925] : [355 ^ _55110 : [(356 ^ _55110) ^ [] : [-(in(352 ^ [_65925], _65925))], (358 ^ _55110) ^ [] : [ordinal(352 ^ [_65925])]], 359 ^ _55110 : [(360 ^ _55110) ^ [] : [-(ordinal(352 ^ [_65925]))], (362 ^ _55110) ^ [] : [in(352 ^ [_65925], _65925)]]], (215 ^ _55110) ^ [] : [-(relation_empty_yielding(empty_set))], (104 ^ _55110) ^ [_58347, _58349] : [-(empty(_58347)), _58349 = _58347, empty(_58349)], (223 ^ _55110) ^ [] : [-(epsilon_transitive(empty_set))], (291 ^ _55110) ^ [] : [empty(289 ^ [])], (337 ^ _55110) ^ [_65378, _65380] : [in(_65380, _65378), -(element(_65380, _65378))], (30 ^ _55110) ^ [_56133, _56135] : [-(epsilon_transitive(_56133)), _56135 = _56133, epsilon_transitive(_56135)], (319 ^ _55110) ^ [_64824, _64826] : [in(_64824, 317 ^ [_64826]), 322 ^ _55110 : [(323 ^ _55110) ^ [] : [-(in(_64824, _64826))], (325 ^ _55110) ^ [] : [-(ordinal(_64824))]]], (219 ^ _55110) ^ [] : [-(one_to_one(empty_set))], (258 ^ _55110) ^ [] : [-(function(252 ^ []))], (138 ^ _55110) ^ [_59387, _59389] : [in(_59389, _59387), in(_59387, _59389)], (207 ^ _55110) ^ [] : [-(relation(empty_set))], (60 ^ _55110) ^ [_57018, _57020] : [-(relation(_57018)), _57020 = _57018, relation(_57020)], (144 ^ _55110) ^ [_59584] : [empty(_59584), -(function(_59584))], (227 ^ _55110) ^ [] : [-(ordinal(empty_set))], (312 ^ _55110) ^ [] : [-(relation(310 ^ []))], (302 ^ _55110) ^ [] : [-(relation_empty_yielding(298 ^ []))], (225 ^ _55110) ^ [] : [-(epsilon_connected(empty_set))], (273 ^ _55110) ^ [] : [-(ordinal(259 ^ []))], (297 ^ _55110) ^ [] : [-(ordinal(289 ^ []))], (209 ^ _55110) ^ [] : [-(relation_empty_yielding(empty_set))], (286 ^ _55110) ^ [] : [-(function(282 ^ []))], (246 ^ _55110) ^ [] : [-(empty(244 ^ []))], (316 ^ _55110) ^ [] : [-(function(310 ^ []))], (234 ^ _55110) ^ [] : [-(relation(232 ^ []))], (300 ^ _55110) ^ [] : [-(relation(298 ^ []))], (254 ^ _55110) ^ [] : [-(relation(252 ^ []))], (229 ^ _55110) ^ [] : [-(empty(empty_set))], (314 ^ _55110) ^ [] : [-(relation_non_empty(310 ^ []))], (203 ^ _55110) ^ [_61326] : [-(element(201 ^ [_61326], _61326))], (158 ^ _55110) ^ [_60027] : [empty(_60027), -(relation(_60027))], (267 ^ _55110) ^ [] : [-(empty(259 ^ []))], (50 ^ _55110) ^ [_56723, _56725] : [-(relation_empty_yielding(_56723)), _56725 = _56723, relation_empty_yielding(_56725)], (20 ^ _55110) ^ [_55838, _55840] : [-(one_to_one(_55838)), _55840 = _55838, one_to_one(_55840)], (243 ^ _55110) ^ [] : [-(ordinal(237 ^ []))], (192 ^ _55110) ^ [_60975] : [empty(_60975), 195 ^ _55110 : [(200 ^ _55110) ^ [] : [-(ordinal(_60975))], (198 ^ _55110) ^ [] : [-(epsilon_connected(_60975))], (196 ^ _55110) ^ [] : [-(epsilon_transitive(_60975))]]], (150 ^ _55110) ^ [_59770] : [ordinal(_59770), 153 ^ _55110 : [(154 ^ _55110) ^ [] : [-(epsilon_transitive(_59770))], (156 ^ _55110) ^ [] : [-(epsilon_connected(_59770))]]], (236 ^ _55110) ^ [] : [-(function(232 ^ []))], (114 ^ _55110) ^ [_58642, _58644] : [-(ordinal(_58642)), _58644 = _58642, ordinal(_58644)], (221 ^ _55110) ^ [] : [-(empty(empty_set))], (213 ^ _55110) ^ [] : [-(relation(empty_set))], (295 ^ _55110) ^ [] : [-(epsilon_connected(289 ^ []))], (217 ^ _55110) ^ [] : [-(function(empty_set))], (10 ^ _55110) ^ [_55525, _55527, _55529] : [-(_55529 = _55525), _55529 = _55527, _55527 = _55525], (2 ^ _55110) ^ [_55214] : [-(_55214 = _55214)], (80 ^ _55110) ^ [_57608, _57610] : [-(function(_57608)), _57610 = _57608, function(_57610)], (261 ^ _55110) ^ [] : [-(relation(259 ^ []))], (265 ^ _55110) ^ [] : [-(one_to_one(259 ^ []))], (241 ^ _55110) ^ [] : [-(epsilon_connected(237 ^ []))], (288 ^ _55110) ^ [] : [-(one_to_one(282 ^ []))], (327 ^ _55110) ^ [_65069, _65071] : [-(in(_65069, 317 ^ [_65071])), in(_65069, _65071), ordinal(_65069)], (284 ^ _55110) ^ [] : [-(relation(282 ^ []))], (281 ^ _55110) ^ [] : [empty(279 ^ [])], (164 ^ _55110) ^ [_60213] : [175 ^ _55110 : [(180 ^ _55110) ^ [] : [-(one_to_one(_60213))], (178 ^ _55110) ^ [] : [-(function(_60213))], (176 ^ _55110) ^ [] : [-(relation(_60213))]], relation(_60213), empty(_60213), function(_60213)], (370 ^ _55110) ^ [_66498, _66500] : [in(_66500, _66498), empty(_66498)], (211 ^ _55110) ^ [] : [-(empty(empty_set))], (364 ^ _55110) ^ [_66296] : [empty(_66296), -(_66296 = empty_set)], (307 ^ _55110) ^ [] : [-(relation_empty_yielding(303 ^ []))], (276 ^ _55110) ^ [] : [empty(274 ^ [])], (40 ^ _55110) ^ [_56428, _56430] : [-(epsilon_connected(_56428)), _56430 = _56428, epsilon_connected(_56430)], (305 ^ _55110) ^ [] : [-(relation(303 ^ []))], (251 ^ _55110) ^ [] : [-(empty(249 ^ []))], (239 ^ _55110) ^ [] : [-(epsilon_transitive(237 ^ []))], (309 ^ _55110) ^ [] : [-(function(303 ^ []))], (70 ^ _55110) ^ [_57313, _57315] : [-(relation_non_empty(_57313)), _57315 = _57313, relation_non_empty(_57315)], (343 ^ _55110) ^ [_65588, _65590] : [element(_65590, _65588), -(empty(_65588)), -(in(_65590, _65588))], (293 ^ _55110) ^ [] : [-(epsilon_transitive(289 ^ []))], (182 ^ _55110) ^ [_60706] : [-(ordinal(_60706)), epsilon_transitive(_60706), epsilon_connected(_60706)], (278 ^ _55110) ^ [] : [-(relation(274 ^ []))], (4 ^ _55110) ^ [_55321, _55323] : [_55323 = _55321, -(_55321 = _55323)], (231 ^ _55110) ^ [] : [-(relation(empty_set))], (271 ^ _55110) ^ [] : [-(epsilon_connected(259 ^ []))], (269 ^ _55110) ^ [] : [-(epsilon_transitive(259 ^ []))], (248 ^ _55110) ^ [] : [-(relation(244 ^ []))], (124 ^ _55110) ^ [_58945, _58947, _58949, _58951] : [-(in(_58949, _58945)), in(_58951, _58947), _58951 = _58949, _58947 = _58945], (90 ^ _55110) ^ [_57931, _57933, _57935, _57937] : [-(element(_57935, _57931)), element(_57937, _57933), _57937 = _57935, _57933 = _57931], (256 ^ _55110) ^ [] : [-(empty(252 ^ []))], (263 ^ _55110) ^ [] : [-(function(259 ^ []))]], input).
% 160.95/156.34  ncf('1',plain,[ordinal(352 ^ [317 ^ [385 ^ []]]), -(in(352 ^ [317 ^ [385 ^ []]], 385 ^ []))],start(387 ^ 0,bind([[_67291], [352 ^ [317 ^ [385 ^ []]]]]))).
% 160.95/156.34  ncf('1.1',plain,[-(ordinal(352 ^ [317 ^ [385 ^ []]])), 356 : -(in(352 ^ [317 ^ [385 ^ []]], 317 ^ [385 ^ []]))],extension(354 ^ 1,bind([[_65925], [317 ^ [385 ^ []]]]))).
% 160.95/156.34  ncf('1.1.1',plain,[in(352 ^ [317 ^ [385 ^ []]], 317 ^ [385 ^ []]), 325 : -(ordinal(352 ^ [317 ^ [385 ^ []]]))],extension(319 ^ 4,bind([[_64824, _64826], [352 ^ [317 ^ [385 ^ []]], 385 ^ []]]))).
% 160.95/156.34  ncf('1.1.1.1',plain,[ordinal(352 ^ [317 ^ [385 ^ []]])],reduction('1')).
% 160.95/156.34  ncf('1.2',plain,[in(352 ^ [317 ^ [385 ^ []]], 385 ^ []), -(in(352 ^ [317 ^ [385 ^ []]], 317 ^ [385 ^ []])), ordinal(352 ^ [317 ^ [385 ^ []]])],extension(327 ^ 1,bind([[_65069, _65071], [352 ^ [317 ^ [385 ^ []]], 385 ^ []]]))).
% 160.95/156.34  ncf('1.2.1',plain,[in(352 ^ [317 ^ [385 ^ []]], 317 ^ [385 ^ []]), 358 : ordinal(352 ^ [317 ^ [385 ^ []]])],extension(354 ^ 2,bind([[_65925], [317 ^ [385 ^ []]]]))).
% 160.95/156.34  ncf('1.2.1.1',plain,[-(ordinal(352 ^ [317 ^ [385 ^ []]]))],lemmata('x')).
% 160.95/156.34  ncf('1.2.2',plain,[-(ordinal(352 ^ [317 ^ [385 ^ []]]))],lemmata('x')).
% 160.95/156.34  %-----------------------------------------------------
% 160.95/156.34  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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