%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU235+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 12:02:48 EDT 2023

% Result   : Theorem 86.78s 83.57s
% Output   : Proof 86.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SEU235+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15  % Command  : nanocop.sh %s %d
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 12:37:03 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 86.78/83.57  
% 86.78/83.57  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 86.78/83.57  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.78/83.57  %-----------------------------------------------------
% 86.78/83.57  ncf(matrix, plain, [(533 ^ _105577) ^ [] : [-(subset(528 ^ [], 529 ^ []))], (535 ^ _105577) ^ [] : [528 ^ [] = empty_set], (537 ^ _105577) ^ [_105794] : [ordinal(_105794), in(_105794, 528 ^ []), 545 ^ _105577 : [(550 ^ _105577) ^ [] : [ordinal_subset(_105794, 544 ^ [_105794])], (548 ^ _105577) ^ [] : [-(in(544 ^ [_105794], 528 ^ []))], (546 ^ _105577) ^ [] : [-(ordinal(544 ^ [_105794]))]]], (531 ^ _105577) ^ [] : [-(ordinal(529 ^ []))], !, (382 ^ _89071) ^ [] : [-(relation_empty_yielding(378 ^ []))], (359 ^ _89071) ^ [] : [-(relation(357 ^ []))], (500 ^ _89071) ^ [_104233, _104235] : [in(_104235, _104233), empty(_104233)], (70 ^ _89071) ^ [_91294, _91296] : [-(function(_91294)), _91296 = _91294, function(_91296)], (174 ^ _89071) ^ [_94546] : [ordinal(_94546), 177 ^ _89071 : [(180 ^ _89071) ^ [] : [-(epsilon_connected(_94546))], (178 ^ _89071) ^ [] : [-(epsilon_transitive(_94546))]]], (384 ^ _89071) ^ [] : [-(function(378 ^ []))], (318 ^ _89071) ^ [] : [-(ordinal(312 ^ []))], (94 ^ _89071) ^ [_92033, _92035] : [-(empty(_92033)), _92035 = _92033, empty(_92035)], (80 ^ _89071) ^ [_91617, _91619, _91621, _91623] : [-(element(_91621, _91617)), element(_91623, _91619), _91623 = _91621, _91619 = _91617], (280 ^ _89071) ^ [] : [-(empty(empty_set))], (380 ^ _89071) ^ [] : [-(relation(378 ^ []))], (344 ^ _89071) ^ [] : [-(epsilon_transitive(334 ^ []))], (372 ^ _89071) ^ [] : [-(ordinal(364 ^ []))], (326 ^ _89071) ^ [] : [-(empty(324 ^ []))], (321 ^ _89071) ^ [] : [-(empty(319 ^ []))], (434 ^ _89071) ^ [_102132] : [ordinal(_102132), 437 ^ _89071 : [(438 ^ _89071) ^ [_102282] : [ordinal(_102282), -(in(_102132, _102282)), -(_102132 = _102282), -(in(_102282, _102132))]]], (351 ^ _89071) ^ [] : [empty(349 ^ [])], (418 ^ _89071) ^ [_101641, _101643] : [in(_101643, _101641), -(element(_101643, _101641))], (298 ^ _89071) ^ [] : [-(epsilon_transitive(empty_set))], (290 ^ _89071) ^ [] : [-(relation_empty_yielding(empty_set))], (370 ^ _89071) ^ [] : [-(epsilon_connected(364 ^ []))], (361 ^ _89071) ^ [] : [-(function(357 ^ []))], (162 ^ _89071) ^ [_94163, _94165] : [in(_94165, _94163), in(_94163, _94165)], (406 ^ _89071) ^ [_101252, _101254] : [-(ordinal_subset(_101254, _101254)), ordinal(_101254), ordinal(_101252)], (60 ^ _89071) ^ [_90999, _91001] : [-(relation_empty_yielding(_90999)), _91001 = _90999, relation_empty_yielding(_91001)], (309 ^ _89071) ^ [] : [-(relation(307 ^ []))], (316 ^ _89071) ^ [] : [-(epsilon_connected(312 ^ []))], (296 ^ _89071) ^ [] : [-(empty(empty_set))], (182 ^ _89071) ^ [_94803] : [empty(_94803), -(relation(_94803))], (302 ^ _89071) ^ [] : [-(ordinal(empty_set))], (282 ^ _89071) ^ [] : [-(relation(empty_set))], (416 ^ _89071) ^ [_101532, _101534] : [-(subset(_101534, _101534))], (462 ^ _89071) ^ [_103012, _103014] : [element(_103014, powerset(_103012)), -(subset(_103014, _103012))], (366 ^ _89071) ^ [] : [empty(364 ^ [])], (333 ^ _89071) ^ [] : [-(function(327 ^ []))], (331 ^ _89071) ^ [] : [-(empty(327 ^ []))], (50 ^ _89071) ^ [_90704, _90706] : [-(relation(_90704)), _90706 = _90704, relation(_90706)], (250 ^ _89071) ^ [_96794] : [252 ^ _89071 : [(255 ^ _89071) ^ [] : [subset(251 ^ [_96794], _96794)], (253 ^ _89071) ^ [] : [-(in(251 ^ [_96794], _96794))]], -(epsilon_transitive(_96794))], (10 ^ _89071) ^ [_89506, _89508, _89510] : [-(_89510 = _89506), _89510 = _89508, _89508 = _89506], (216 ^ _89071) ^ [_95751] : [empty(_95751), 219 ^ _89071 : [(224 ^ _89071) ^ [] : [-(ordinal(_95751))], (222 ^ _89071) ^ [] : [-(epsilon_connected(_95751))], (220 ^ _89071) ^ [] : [-(epsilon_transitive(_95751))]]], (292 ^ _89071) ^ [] : [-(function(empty_set))], (188 ^ _89071) ^ [_94989] : [199 ^ _89071 : [(204 ^ _89071) ^ [] : [-(one_to_one(_94989))], (202 ^ _89071) ^ [] : [-(function(_94989))], (200 ^ _89071) ^ [] : [-(relation(_94989))]], relation(_94989), empty(_94989), function(_94989)], (4 ^ _89071) ^ [_89302, _89304] : [_89304 = _89302, -(_89302 = _89304)], (375 ^ _89071) ^ [] : [-(relation(373 ^ []))], (30 ^ _89071) ^ [_90114, _90116] : [-(epsilon_transitive(_90114)), _90116 = _90114, epsilon_transitive(_90116)], (284 ^ _89071) ^ [] : [-(relation_empty_yielding(empty_set))], (356 ^ _89071) ^ [] : [empty(354 ^ [])], (353 ^ _89071) ^ [] : [-(relation(349 ^ []))], (314 ^ _89071) ^ [] : [-(epsilon_transitive(312 ^ []))], (168 ^ _89071) ^ [_94360] : [empty(_94360), -(function(_94360))], (278 ^ _89071) ^ [_97500] : [-(element(276 ^ [_97500], _97500))], (363 ^ _89071) ^ [] : [-(one_to_one(357 ^ []))], (288 ^ _89071) ^ [] : [-(relation(empty_set))], (304 ^ _89071) ^ [] : [-(empty(empty_set))], (452 ^ _89071) ^ [_102685, _102687] : [element(_102687, _102685), -(empty(_102685)), -(in(_102687, _102685))], (346 ^ _89071) ^ [] : [-(epsilon_connected(334 ^ []))], (348 ^ _89071) ^ [] : [-(ordinal(334 ^ []))], (300 ^ _89071) ^ [] : [-(epsilon_connected(empty_set))], (142 ^ _89071) ^ [_93519, _93521, _93523, _93525] : [-(ordinal_subset(_93523, _93519)), ordinal_subset(_93525, _93521), _93525 = _93523, _93521 = _93519], (128 ^ _89071) ^ [_93095, _93097, _93099, _93101] : [-(in(_93099, _93095)), in(_93101, _93097), _93101 = _93099, _93097 = _93095], (294 ^ _89071) ^ [] : [-(one_to_one(empty_set))], (484 ^ _89071) ^ [_103735, _103737, _103739] : [in(_103739, _103737), element(_103737, powerset(_103735)), empty(_103735)], (265 ^ _89071) ^ [] : [true___, -(true___)], (494 ^ _89071) ^ [_104031] : [empty(_104031), -(_104031 = empty_set)], (2 ^ _89071) ^ [_89195] : [-(_89195 = _89195)], (386 ^ _89071) ^ [_100705, _100707] : [ordinal(_100707), ordinal(_100705), 393 ^ _89071 : [(400 ^ _89071) ^ [] : [subset(_100707, _100705), -(ordinal_subset(_100707, _100705))], (394 ^ _89071) ^ [] : [ordinal_subset(_100707, _100705), -(subset(_100707, _100705))]]], (506 ^ _89071) ^ [_104440, _104442] : [in(_104442, _104440), 510 ^ _89071 : [(513 ^ _89071) ^ [_104731] : [in(_104731, _104440), in(_104731, 509 ^ [_104440, _104442])], (511 ^ _89071) ^ [] : [-(in(509 ^ [_104440, _104442], _104440))]]], (342 ^ _89071) ^ [] : [-(empty(334 ^ []))], (20 ^ _89071) ^ [_89819, _89821] : [-(one_to_one(_89819)), _89821 = _89819, one_to_one(_89821)], (329 ^ _89071) ^ [] : [-(relation(327 ^ []))], (311 ^ _89071) ^ [] : [-(function(307 ^ []))], (240 ^ _89071) ^ [_96494] : [epsilon_transitive(_96494), 243 ^ _89071 : [(244 ^ _89071) ^ [_96625] : [in(_96625, _96494), -(subset(_96625, _96494))]]], (156 ^ _89071) ^ [_93943, _93945] : [_93945 = _93943, -(powerset(_93945) = powerset(_93943))], (340 ^ _89071) ^ [] : [-(one_to_one(334 ^ []))], (368 ^ _89071) ^ [] : [-(epsilon_transitive(364 ^ []))], (286 ^ _89071) ^ [] : [-(empty(empty_set))], (323 ^ _89071) ^ [] : [-(relation(319 ^ []))], (377 ^ _89071) ^ [] : [-(relation_empty_yielding(373 ^ []))], (104 ^ _89071) ^ [_92356, _92358, _92360, _92362] : [-(subset(_92360, _92356)), subset(_92362, _92358), _92362 = _92360, _92358 = _92356], (336 ^ _89071) ^ [] : [-(relation(334 ^ []))], (226 ^ _89071) ^ [_96092, _96094] : [ordinal(_96094), ordinal(_96092), -(ordinal_subset(_96094, _96092)), -(ordinal_subset(_96092, _96094))], (468 ^ _89071) ^ [_103178, _103180] : [subset(_103180, _103178), -(element(_103180, powerset(_103178)))], (474 ^ _89071) ^ [_103408, _103410, _103412] : [-(element(_103412, _103408)), in(_103412, _103410), element(_103410, powerset(_103408))], (424 ^ _89071) ^ [_101851, _101853] : [ordinal(_101851), in(_101853, _101851), -(ordinal(_101853))], (271 ^ _89071) ^ [] : [true___, -(true___)], (118 ^ _89071) ^ [_92772, _92774] : [-(ordinal(_92772)), _92774 = _92772, ordinal(_92774)], (40 ^ _89071) ^ [_90409, _90411] : [-(epsilon_connected(_90409)), _90411 = _90409, epsilon_connected(_90411)], (206 ^ _89071) ^ [_95482] : [-(ordinal(_95482)), epsilon_transitive(_95482), epsilon_connected(_95482)], (338 ^ _89071) ^ [] : [-(function(334 ^ []))], (259 ^ _89071) ^ [] : [true___, -(true___)], (306 ^ _89071) ^ [] : [-(relation(empty_set))], (519 ^ _89071) ^ [_104951, _104953] : [empty(_104953), -(_104953 = _104951), empty(_104951)]], input).
% 86.78/83.58  ncf('1',plain,[528 ^ [] = empty_set],start(535 ^ 0)).
% 86.78/83.58  ncf('1.1',plain,[-(528 ^ [] = empty_set), empty(528 ^ [])],extension(494 ^ 1,bind([[_104031], [528 ^ []]]))).
% 86.78/83.58  ncf('1.1.1',plain,[-(empty(528 ^ [])), element(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ []), -(in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ []))],extension(452 ^ 2,bind([[_102685, _102687], [528 ^ [], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.1',plain,[-(element(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ [])), element(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ []), 509 ^ [528 ^ [], 276 ^ [528 ^ []]] = 509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ [] = 528 ^ []],extension(80 ^ 3,bind([[_91617, _91619, _91621, _91623], [528 ^ [], 528 ^ [], 509 ^ [528 ^ [], 276 ^ [528 ^ []]], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.1.1',plain,[-(element(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ [])), in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ [])],extension(418 ^ 4,bind([[_101641, _101643], [528 ^ [], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.1.1.1',plain,[-(in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ [])), in(276 ^ [528 ^ []], 528 ^ [])],extension(506 ^ 5,bind([[_104440, _104442], [528 ^ [], 276 ^ [528 ^ []]]]))).
% 86.78/83.58  ncf('1.1.1.1.1.1.1',plain,[-(in(276 ^ [528 ^ []], 528 ^ [])), in(276 ^ [528 ^ []], 528 ^ []), 276 ^ [528 ^ []] = 276 ^ [528 ^ []], 528 ^ [] = 528 ^ []],extension(128 ^ 6,bind([[_93095, _93097, _93099, _93101], [528 ^ [], 528 ^ [], 276 ^ [528 ^ []], 276 ^ [528 ^ []]]]))).
% 86.78/83.58  ncf('1.1.1.1.1.1.1.1',plain,[-(in(276 ^ [528 ^ []], 528 ^ [])), element(276 ^ [528 ^ []], 528 ^ []), -(empty(528 ^ []))],extension(452 ^ 7,bind([[_102685, _102687], [528 ^ [], 276 ^ [528 ^ []]]]))).
% 86.78/83.58  ncf('1.1.1.1.1.1.1.1.1',plain,[-(element(276 ^ [528 ^ []], 528 ^ []))],extension(278 ^ 8,bind([[_97500], [528 ^ []]]))).
% 86.78/83.58  ncf('1.1.1.1.1.1.1.1.2',plain,[empty(528 ^ [])],reduction('1.1')).
% 86.78/83.58  ncf('1.1.1.1.1.1.1.2',plain,[-(276 ^ [528 ^ []] = 276 ^ [528 ^ []]), 276 ^ [528 ^ []] = 276 ^ [528 ^ []]],extension(4 ^ 7,bind([[_89302, _89304], [276 ^ [528 ^ []], 276 ^ [528 ^ []]]]))).
% 86.78/83.58  ncf('1.1.1.1.1.1.1.2.1',plain,[-(276 ^ [528 ^ []] = 276 ^ [528 ^ []])],extension(2 ^ 8,bind([[_89195], [276 ^ [528 ^ []]]]))).
% 86.78/83.58  ncf('1.1.1.1.1.1.1.3',plain,[-(528 ^ [] = 528 ^ []), 528 ^ [] = 528 ^ []],extension(4 ^ 7,bind([[_89302, _89304], [528 ^ [], 528 ^ []]]))).
% 86.78/83.58  ncf('1.1.1.1.1.1.1.3.1',plain,[-(528 ^ [] = 528 ^ [])],extension(2 ^ 8,bind([[_89195], [528 ^ []]]))).
% 86.78/83.58  ncf('1.1.1.1.2',plain,[-(509 ^ [528 ^ [], 276 ^ [528 ^ []]] = 509 ^ [528 ^ [], 276 ^ [528 ^ []]]), 509 ^ [528 ^ [], 276 ^ [528 ^ []]] = 509 ^ [528 ^ [], 276 ^ [528 ^ []]]],extension(4 ^ 4,bind([[_89302, _89304], [509 ^ [528 ^ [], 276 ^ [528 ^ []]], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.1.2.1',plain,[-(509 ^ [528 ^ [], 276 ^ [528 ^ []]] = 509 ^ [528 ^ [], 276 ^ [528 ^ []]])],extension(2 ^ 5,bind([[_89195], [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.1.3',plain,[-(528 ^ [] = 528 ^ [])],extension(2 ^ 4,bind([[_89195], [528 ^ []]]))).
% 86.78/83.58  ncf('1.1.1.2',plain,[in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ []), ordinal(509 ^ [528 ^ [], 276 ^ [528 ^ []]]), 550 : ordinal_subset(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])],extension(537 ^ 3,bind([[_105794], [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.2.1',plain,[-(ordinal(509 ^ [528 ^ [], 276 ^ [528 ^ []]])), ordinal(529 ^ []), in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 529 ^ [])],extension(424 ^ 4,bind([[_101851, _101853], [529 ^ [], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.2.1.1',plain,[-(ordinal(529 ^ []))],extension(531 ^ 5)).
% 86.78/83.58  ncf('1.1.1.2.1.2',plain,[-(in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 529 ^ [])), element(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 529 ^ []), -(empty(529 ^ []))],extension(452 ^ 5,bind([[_102685, _102687], [529 ^ [], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.2.1.2.1',plain,[-(element(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 529 ^ [])), in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ []), element(528 ^ [], powerset(529 ^ []))],extension(474 ^ 6,bind([[_103408, _103410, _103412], [529 ^ [], 528 ^ [], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.2.1.2.1.1',plain,[-(in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ []))],reduction('1.1.1')).
% 86.78/83.58  ncf('1.1.1.2.1.2.1.2',plain,[-(element(528 ^ [], powerset(529 ^ []))), subset(528 ^ [], 529 ^ [])],extension(468 ^ 7,bind([[_103178, _103180], [529 ^ [], 528 ^ []]]))).
% 86.78/83.58  ncf('1.1.1.2.1.2.1.2.1',plain,[-(subset(528 ^ [], 529 ^ []))],extension(533 ^ 8)).
% 86.78/83.58  ncf('1.1.1.2.1.2.2',plain,[empty(529 ^ []), in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ []), element(528 ^ [], powerset(529 ^ []))],extension(484 ^ 6,bind([[_103735, _103737, _103739], [529 ^ [], 528 ^ [], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.2.1.2.2.1',plain,[-(in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 528 ^ []))],reduction('1.1.1')).
% 86.78/83.58  ncf('1.1.1.2.1.2.2.2',plain,[-(element(528 ^ [], powerset(529 ^ []))), subset(528 ^ [], 529 ^ [])],extension(468 ^ 7,bind([[_103178, _103180], [529 ^ [], 528 ^ []]]))).
% 86.78/83.58  ncf('1.1.1.2.1.2.2.2.1',plain,[-(subset(528 ^ [], 529 ^ []))],extension(533 ^ 8)).
% 86.78/83.58  ncf('1.1.1.2.2',plain,[-(ordinal_subset(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])), ordinal_subset(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]), 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]] = 509 ^ [528 ^ [], 276 ^ [528 ^ []]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]] = 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]],extension(142 ^ 6,bind([[_93519, _93521, _93523, _93525], [544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 509 ^ [528 ^ [], 276 ^ [528 ^ []]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]]))).
% 86.78/83.58  ncf('1.1.1.2.2.1',plain,[-(ordinal_subset(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])), ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]), ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])],extension(406 ^ 7,bind([[_101252, _101254], [544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]]))).
% 86.78/83.58  ncf('1.1.1.2.2.1.1',plain,[-(ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]))],extension(546 ^ 8)).
% 86.78/83.58  ncf('1.1.1.2.2.1.2',plain,[-(ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]))],extension(546 ^ 8)).
% 86.78/83.58  ncf('1.1.1.2.2.2',plain,[-(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]] = 509 ^ [528 ^ [], 276 ^ [528 ^ []]]), 438 : ordinal(509 ^ [528 ^ [], 276 ^ [528 ^ []]]), 438 : -(in(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 509 ^ [528 ^ [], 276 ^ [528 ^ []]])), 438 : -(in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])), 438 : ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])],extension(434 ^ 7,bind([[_102132, _102282], [544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.2.2.2.1',plain,[-(ordinal(509 ^ [528 ^ [], 276 ^ [528 ^ []]]))],lemmata('[1, 1, 1].x')).
% 86.78/83.58  ncf('1.1.1.2.2.2.2',plain,[in(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]), 513 : in(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 528 ^ []), 513 : in(276 ^ [528 ^ []], 528 ^ [])],extension(506 ^ 10,bind([[_104440, _104442, _104731], [528 ^ [], 276 ^ [528 ^ []], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]]))).
% 86.78/83.58  ncf('1.1.1.2.2.2.2.1',plain,[-(in(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 528 ^ []))],extension(548 ^ 13)).
% 86.78/83.58  ncf('1.1.1.2.2.2.2.2',plain,[-(in(276 ^ [528 ^ []], 528 ^ [])), element(276 ^ [528 ^ []], 528 ^ []), -(empty(528 ^ []))],extension(452 ^ 11,bind([[_102685, _102687], [528 ^ [], 276 ^ [528 ^ []]]]))).
% 86.78/83.58  ncf('1.1.1.2.2.2.2.2.1',plain,[-(element(276 ^ [528 ^ []], 528 ^ []))],extension(278 ^ 12,bind([[_97500], [528 ^ []]]))).
% 86.78/83.58  ncf('1.1.1.2.2.2.2.2.2',plain,[empty(528 ^ [])],reduction('1.1')).
% 86.78/83.58  ncf('1.1.1.2.2.2.3',plain,[in(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]), 244 : -(subset(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])), 244 : epsilon_transitive(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])],extension(240 ^ 10,bind([[_96494, _96625], [544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.2.2.2.3.1',plain,[subset(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]), 400 : -(ordinal_subset(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])), 400 : ordinal(509 ^ [528 ^ [], 276 ^ [528 ^ []]]), 400 : ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])],extension(386 ^ 13,bind([[_100705, _100707], [544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]))).
% 86.78/83.58  ncf('1.1.1.2.2.2.3.1.1',plain,[ordinal_subset(509 ^ [528 ^ [], 276 ^ [528 ^ []]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])],reduction('1.1.1.2')).
% 86.78/83.58  ncf('1.1.1.2.2.2.3.1.2',plain,[-(ordinal(509 ^ [528 ^ [], 276 ^ [528 ^ []]]))],lemmata('[2, 2, 1, 1, 1].x')).
% 86.78/83.58  ncf('1.1.1.2.2.2.3.1.3',plain,[-(ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]))],extension(546 ^ 14)).
% 86.78/83.58  ncf('1.1.1.2.2.2.3.2',plain,[-(epsilon_transitive(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])), ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])],extension(174 ^ 11,bind([[_94546], [544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]]))).
% 86.78/83.58  ncf('1.1.1.2.2.2.3.2.1',plain,[-(ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]))],extension(546 ^ 12)).
% 86.78/83.58  ncf('1.1.1.2.2.2.4',plain,[-(ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]))],extension(546 ^ 8)).
% 86.78/83.58  ncf('1.1.1.2.2.3',plain,[-(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]] = 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]), 438 : ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]), 438 : -(in(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])), 438 : -(in(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])), 438 : ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])],extension(434 ^ 7,bind([[_102132, _102282], [544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]]))).
% 86.78/83.58  ncf('1.1.1.2.2.3.1',plain,[-(ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]))],extension(546 ^ 10)).
% 86.78/83.58  ncf('1.1.1.2.2.3.2',plain,[in(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]), in(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])],extension(162 ^ 10,bind([[_94163, _94165], [544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]]]))).
% 86.78/83.58  ncf('1.1.1.2.2.3.2.1',plain,[-(in(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]))],reduction('1.1.1.2.2.3')).
% 86.78/83.58  ncf('1.1.1.2.2.3.3',plain,[in(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]], 544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]])],lemmata('[2, 2, 1, 1, 1].x')).
% 86.78/83.58  ncf('1.1.1.2.2.3.4',plain,[-(ordinal(544 ^ [509 ^ [528 ^ [], 276 ^ [528 ^ []]]]))],extension(546 ^ 8)).
% 86.78/83.58  %-----------------------------------------------------
% 86.78/83.58  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------