%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU097+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 12:02:12 EDT 2023

% Result   : Theorem 8.05s 8.60s
% Output   : Proof 8.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEU097+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n015.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 12:47:37 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 8.05/8.60  
% 8.05/8.60  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 8.05/8.60  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.05/8.60  %-----------------------------------------------------
% 8.05/8.60  ncf(matrix, plain, [(766 ^ _110373) ^ [] : [-(finite(763 ^ []))], (768 ^ _110373) ^ [] : [-(finite(764 ^ []))], (770 ^ _110373) ^ [] : [finite(symmetric_difference(763 ^ [], 764 ^ []))], (212 ^ _110373) ^ [_116978, _116980, _116982, _116984] : [-(set_union2(_116984, _116980) = set_union2(_116982, _116978)), _116984 = _116982, _116980 = _116978], (222 ^ _110373) ^ [_117337, _117339, _117341, _117343] : [-(set_difference(_117343, _117339) = set_difference(_117341, _117337)), _117343 = _117341, _117339 = _117337], (232 ^ _110373) ^ [_117668, _117670] : [_117670 = _117668, -(powerset(_117670) = powerset(_117668))], (238 ^ _110373) ^ [_117894, _117896, _117898, _117900] : [-(symmetric_difference(_117900, _117896) = symmetric_difference(_117898, _117894)), _117900 = _117898, _117896 = _117894], (2 ^ _110373) ^ [_110517] : [-(_110517 = _110517)], (4 ^ _110373) ^ [_110624, _110626] : [_110626 = _110624, -(_110624 = _110626)], (10 ^ _110373) ^ [_110828, _110830, _110832] : [-(_110832 = _110828), _110832 = _110830, _110830 = _110828], (20 ^ _110373) ^ [_111141, _111143] : [-(function_yielding(_111141)), _111143 = _111141, function_yielding(_111143)], (30 ^ _110373) ^ [_111436, _111438] : [-(being_limit_ordinal(_111436)), _111438 = _111436, being_limit_ordinal(_111438)], (40 ^ _110373) ^ [_111731, _111733] : [-(ordinal_yielding(_111731)), _111733 = _111731, ordinal_yielding(_111733)], (50 ^ _110373) ^ [_112026, _112028] : [-(natural(_112026)), _112028 = _112026, natural(_112028)], (60 ^ _110373) ^ [_112321, _112323] : [-(one_to_one(_112321)), _112323 = _112321, one_to_one(_112323)], (70 ^ _110373) ^ [_112616, _112618] : [-(epsilon_transitive(_112616)), _112618 = _112616, epsilon_transitive(_112618)], (80 ^ _110373) ^ [_112911, _112913] : [-(epsilon_connected(_112911)), _112913 = _112911, epsilon_connected(_112913)], (90 ^ _110373) ^ [_113206, _113208] : [-(ordinal(_113206)), _113208 = _113206, ordinal(_113208)], (100 ^ _110373) ^ [_113501, _113503] : [-(relation_empty_yielding(_113501)), _113503 = _113501, relation_empty_yielding(_113503)], (110 ^ _110373) ^ [_113796, _113798] : [-(transfinite_sequence(_113796)), _113798 = _113796, transfinite_sequence(_113798)], (120 ^ _110373) ^ [_114091, _114093] : [-(relation(_114091)), _114093 = _114091, relation(_114093)], (130 ^ _110373) ^ [_114386, _114388] : [-(relation_non_empty(_114386)), _114388 = _114386, relation_non_empty(_114388)], (140 ^ _110373) ^ [_114681, _114683] : [-(function(_114681)), _114683 = _114681, function(_114683)], (150 ^ _110373) ^ [_115004, _115006, _115008, _115010] : [-(subset(_115008, _115004)), subset(_115010, _115006), _115010 = _115008, _115006 = _115004], (164 ^ _110373) ^ [_115448, _115450, _115452, _115454] : [-(element(_115452, _115448)), element(_115454, _115450), _115454 = _115452, _115450 = _115448], (178 ^ _110373) ^ [_115892, _115894, _115896, _115898] : [-(in(_115896, _115892)), in(_115898, _115894), _115898 = _115896, _115894 = _115892], (192 ^ _110373) ^ [_116308, _116310] : [-(empty(_116308)), _116310 = _116308, empty(_116310)], (202 ^ _110373) ^ [_116583, _116585] : [-(finite(_116583)), _116585 = _116583, finite(_116585)], (248 ^ _110373) ^ [_118243, _118245] : [in(_118245, _118243), in(_118243, _118245)], (254 ^ _110373) ^ [_118440] : [ordinal(_118440), 257 ^ _110373 : [(258 ^ _110373) ^ [_118580] : [element(_118580, _118440), 261 ^ _110373 : [(262 ^ _110373) ^ [] : [-(epsilon_transitive(_118580))], (264 ^ _110373) ^ [] : [-(epsilon_connected(_118580))], (266 ^ _110373) ^ [] : [-(ordinal(_118580))]]]]], (268 ^ _110373) ^ [_118926] : [empty(_118926), -(finite(_118926))], (274 ^ _110373) ^ [_119112] : [empty(_119112), -(function(_119112))], (280 ^ _110373) ^ [_119298] : [ordinal(_119298), 283 ^ _110373 : [(284 ^ _110373) ^ [] : [-(epsilon_transitive(_119298))], (286 ^ _110373) ^ [] : [-(epsilon_connected(_119298))]]], (288 ^ _110373) ^ [_119555] : [empty(_119555), -(relation(_119555))], (294 ^ _110373) ^ [_119741] : [301 ^ _110373 : [(302 ^ _110373) ^ [] : [-(epsilon_transitive(_119741))], (304 ^ _110373) ^ [] : [-(epsilon_connected(_119741))], (306 ^ _110373) ^ [] : [-(ordinal(_119741))], (308 ^ _110373) ^ [] : [-(natural(_119741))]], empty(_119741), ordinal(_119741)], (310 ^ _110373) ^ [_120221] : [finite(_120221), 313 ^ _110373 : [(314 ^ _110373) ^ [_120353] : [element(_120353, powerset(_120221)), -(finite(_120353))]]], (320 ^ _110373) ^ [_120558] : [331 ^ _110373 : [(332 ^ _110373) ^ [] : [-(relation(_120558))], (334 ^ _110373) ^ [] : [-(function(_120558))], (336 ^ _110373) ^ [] : [-(one_to_one(_120558))]], relation(_120558), empty(_120558), function(_120558)], (338 ^ _110373) ^ [_121051] : [-(ordinal(_121051)), epsilon_transitive(_121051), epsilon_connected(_121051)], (348 ^ _110373) ^ [_121320] : [empty(_121320), 351 ^ _110373 : [(352 ^ _110373) ^ [] : [-(epsilon_transitive(_121320))], (354 ^ _110373) ^ [] : [-(epsilon_connected(_121320))], (356 ^ _110373) ^ [] : [-(ordinal(_121320))]]], (358 ^ _110373) ^ [_121647] : [element(_121647, positive_rationals), ordinal(_121647), 365 ^ _110373 : [(366 ^ _110373) ^ [] : [-(epsilon_transitive(_121647))], (368 ^ _110373) ^ [] : [-(epsilon_connected(_121647))], (370 ^ _110373) ^ [] : [-(ordinal(_121647))], (372 ^ _110373) ^ [] : [-(natural(_121647))]]], (374 ^ _110373) ^ [_122128, _122130] : [-(set_union2(_122130, _122128) = set_union2(_122128, _122130))], (376 ^ _110373) ^ [_122228, _122230] : [-(symmetric_difference(_122230, _122228) = symmetric_difference(_122228, _122230))], (378 ^ _110373) ^ [_122328, _122330] : [-(symmetric_difference(_122330, _122328) = set_union2(set_difference(_122330, _122328), set_difference(_122328, _122330)))], (381 ^ _110373) ^ [_122459] : [-(element(379 ^ [_122459], _122459))], (383 ^ _110373) ^ [_122571, _122573] : [finite(_122573), -(finite(set_difference(_122573, _122571)))], (389 ^ _110373) ^ [] : [-(empty(empty_set))], (391 ^ _110373) ^ [] : [-(relation(empty_set))], (393 ^ _110373) ^ [] : [-(relation_empty_yielding(empty_set))], (395 ^ _110373) ^ [_122916] : [empty(powerset(_122916))], (397 ^ _110373) ^ [] : [-(empty(empty_set))], (399 ^ _110373) ^ [] : [-(relation(empty_set))], (401 ^ _110373) ^ [] : [-(relation_empty_yielding(empty_set))], (403 ^ _110373) ^ [] : [-(function(empty_set))], (405 ^ _110373) ^ [] : [-(one_to_one(empty_set))], (407 ^ _110373) ^ [] : [-(empty(empty_set))], (409 ^ _110373) ^ [] : [-(epsilon_transitive(empty_set))], (411 ^ _110373) ^ [] : [-(epsilon_connected(empty_set))], (413 ^ _110373) ^ [] : [-(ordinal(empty_set))], (415 ^ _110373) ^ [_123515, _123517] : [-(relation(set_union2(_123517, _123515))), relation(_123517), relation(_123515)], (425 ^ _110373) ^ [_123814, _123816] : [-(empty(_123816)), empty(set_union2(_123816, _123814))], (431 ^ _110373) ^ [_124030, _124032] : [-(relation(set_difference(_124032, _124030))), relation(_124032), relation(_124030)], (441 ^ _110373) ^ [_124329, _124331] : [-(empty(_124331)), empty(set_union2(_124329, _124331))], (447 ^ _110373) ^ [] : [-(empty(empty_set))], (449 ^ _110373) ^ [] : [-(relation(empty_set))], (451 ^ _110373) ^ [] : [empty(positive_rationals)], (453 ^ _110373) ^ [_124705, _124707] : [-(finite(set_union2(_124707, _124705))), finite(_124707), finite(_124705)], (463 ^ _110373) ^ [_124989, _124991] : [-(set_union2(_124991, _124991) = _124991)], (465 ^ _110373) ^ [_125101, _125103] : [-(finite(set_union2(_125103, _125101))), finite(_125103), finite(_125101)], (476 ^ _110373) ^ [] : [empty(474 ^ [])], (478 ^ _110373) ^ [] : [-(epsilon_transitive(474 ^ []))], (480 ^ _110373) ^ [] : [-(epsilon_connected(474 ^ []))], (482 ^ _110373) ^ [] : [-(ordinal(474 ^ []))], (484 ^ _110373) ^ [] : [-(natural(474 ^ []))], (487 ^ _110373) ^ [] : [empty(485 ^ [])], (489 ^ _110373) ^ [] : [-(finite(485 ^ []))], (492 ^ _110373) ^ [] : [-(relation(490 ^ []))], (494 ^ _110373) ^ [] : [-(function(490 ^ []))], (496 ^ _110373) ^ [] : [-(function_yielding(490 ^ []))], (499 ^ _110373) ^ [] : [-(relation(497 ^ []))], (501 ^ _110373) ^ [] : [-(function(497 ^ []))], (504 ^ _110373) ^ [] : [-(epsilon_transitive(502 ^ []))], (506 ^ _110373) ^ [] : [-(epsilon_connected(502 ^ []))], (508 ^ _110373) ^ [] : [-(ordinal(502 ^ []))], (511 ^ _110373) ^ [] : [-(epsilon_transitive(509 ^ []))], (513 ^ _110373) ^ [] : [-(epsilon_connected(509 ^ []))], (515 ^ _110373) ^ [] : [-(ordinal(509 ^ []))], (517 ^ _110373) ^ [] : [-(being_limit_ordinal(509 ^ []))], (520 ^ _110373) ^ [] : [-(empty(518 ^ []))], (522 ^ _110373) ^ [] : [-(relation(518 ^ []))], (524 ^ _110373) ^ [_126851] : [-(empty(_126851)), 528 ^ _110373 : [(529 ^ _110373) ^ [] : [-(element(527 ^ [_126851], powerset(_126851)))], (531 ^ _110373) ^ [] : [empty(527 ^ [_126851])]]], (534 ^ _110373) ^ [] : [-(empty(532 ^ []))], (537 ^ _110373) ^ [] : [-(element(535 ^ [], positive_rationals))], (539 ^ _110373) ^ [] : [empty(535 ^ [])], (541 ^ _110373) ^ [] : [-(epsilon_transitive(535 ^ []))], (543 ^ _110373) ^ [] : [-(epsilon_connected(535 ^ []))], (545 ^ _110373) ^ [] : [-(ordinal(535 ^ []))], (548 ^ _110373) ^ [_127694] : [-(element(546 ^ [_127694], powerset(_127694)))], (550 ^ _110373) ^ [_127765] : [-(empty(546 ^ [_127765]))], (552 ^ _110373) ^ [_127833] : [-(relation(546 ^ [_127833]))], (554 ^ _110373) ^ [_127901] : [-(function(546 ^ [_127901]))], (556 ^ _110373) ^ [_127969] : [-(one_to_one(546 ^ [_127969]))], (558 ^ _110373) ^ [_128037] : [-(epsilon_transitive(546 ^ [_128037]))], (560 ^ _110373) ^ [_128105] : [-(epsilon_connected(546 ^ [_128105]))], (562 ^ _110373) ^ [_128173] : [-(ordinal(546 ^ [_128173]))], (564 ^ _110373) ^ [_128241] : [-(natural(546 ^ [_128241]))], (566 ^ _110373) ^ [_128289] : [-(finite(546 ^ [_128289]))], (569 ^ _110373) ^ [] : [-(relation(567 ^ []))], (571 ^ _110373) ^ [] : [-(empty(567 ^ []))], (573 ^ _110373) ^ [] : [-(function(567 ^ []))], (576 ^ _110373) ^ [] : [-(relation(574 ^ []))], (578 ^ _110373) ^ [] : [-(function(574 ^ []))], (580 ^ _110373) ^ [] : [-(one_to_one(574 ^ []))], (582 ^ _110373) ^ [] : [-(empty(574 ^ []))], (584 ^ _110373) ^ [] : [-(epsilon_transitive(574 ^ []))], (586 ^ _110373) ^ [] : [-(epsilon_connected(574 ^ []))], (588 ^ _110373) ^ [] : [-(ordinal(574 ^ []))], (591 ^ _110373) ^ [] : [-(relation(589 ^ []))], (593 ^ _110373) ^ [] : [-(function(589 ^ []))], (595 ^ _110373) ^ [] : [-(transfinite_sequence(589 ^ []))], (597 ^ _110373) ^ [] : [-(ordinal_yielding(589 ^ []))], (600 ^ _110373) ^ [] : [empty(598 ^ [])], (602 ^ _110373) ^ [] : [-(relation(598 ^ []))], (605 ^ _110373) ^ [_129532] : [-(element(603 ^ [_129532], powerset(_129532)))], (607 ^ _110373) ^ [_129583] : [-(empty(603 ^ [_129583]))], (610 ^ _110373) ^ [] : [empty(608 ^ [])], (613 ^ _110373) ^ [] : [-(element(611 ^ [], positive_rationals))], (615 ^ _110373) ^ [] : [-(empty(611 ^ []))], (617 ^ _110373) ^ [] : [-(epsilon_transitive(611 ^ []))], (619 ^ _110373) ^ [] : [-(epsilon_connected(611 ^ []))], (621 ^ _110373) ^ [] : [-(ordinal(611 ^ []))], (623 ^ _110373) ^ [] : [-(natural(611 ^ []))], (625 ^ _110373) ^ [_130162] : [-(empty(_130162)), 629 ^ _110373 : [(630 ^ _110373) ^ [] : [-(element(628 ^ [_130162], powerset(_130162)))], (632 ^ _110373) ^ [] : [empty(628 ^ [_130162])], (634 ^ _110373) ^ [] : [-(finite(628 ^ [_130162]))]]], (637 ^ _110373) ^ [] : [-(relation(635 ^ []))], (639 ^ _110373) ^ [] : [-(function(635 ^ []))], (641 ^ _110373) ^ [] : [-(one_to_one(635 ^ []))], (644 ^ _110373) ^ [] : [empty(642 ^ [])], (646 ^ _110373) ^ [] : [-(epsilon_transitive(642 ^ []))], (648 ^ _110373) ^ [] : [-(epsilon_connected(642 ^ []))], (650 ^ _110373) ^ [] : [-(ordinal(642 ^ []))], (653 ^ _110373) ^ [] : [-(relation(651 ^ []))], (655 ^ _110373) ^ [] : [-(relation_empty_yielding(651 ^ []))], (658 ^ _110373) ^ [] : [-(relation(656 ^ []))], (660 ^ _110373) ^ [] : [-(relation_empty_yielding(656 ^ []))], (662 ^ _110373) ^ [] : [-(function(656 ^ []))], (665 ^ _110373) ^ [] : [-(relation(663 ^ []))], (667 ^ _110373) ^ [] : [-(function(663 ^ []))], (669 ^ _110373) ^ [] : [-(transfinite_sequence(663 ^ []))], (672 ^ _110373) ^ [] : [-(relation(670 ^ []))], (674 ^ _110373) ^ [] : [-(relation_non_empty(670 ^ []))], (676 ^ _110373) ^ [] : [-(function(670 ^ []))], (678 ^ _110373) ^ [_131828, _131830] : [-(subset(_131830, _131830))], (680 ^ _110373) ^ [_131937, _131939] : [finite(_131939), -(finite(set_difference(_131939, _131937)))], (686 ^ _110373) ^ [_132120] : [-(set_union2(_132120, empty_set) = _132120)], (688 ^ _110373) ^ [_132230, _132232] : [in(_132232, _132230), -(element(_132232, _132230))], (694 ^ _110373) ^ [_132440, _132442] : [element(_132442, _132440), -(empty(_132440)), -(in(_132442, _132440))], (704 ^ _110373) ^ [_132709] : [-(set_difference(_132709, empty_set) = _132709)], (706 ^ _110373) ^ [_132848, _132850] : [element(_132850, powerset(_132848)), -(subset(_132850, _132848))], (712 ^ _110373) ^ [_133014, _133016] : [subset(_133016, _133014), -(element(_133016, powerset(_133014)))], (718 ^ _110373) ^ [_133201] : [-(set_difference(empty_set, _133201) = empty_set)], (720 ^ _110373) ^ [_133325, _133327, _133329] : [-(element(_133329, _133325)), in(_133329, _133327), element(_133327, powerset(_133325))], (730 ^ _110373) ^ [_133609] : [-(symmetric_difference(_133609, empty_set) = _133609)], (732 ^ _110373) ^ [_133733, _133735, _133737] : [in(_133737, _133735), element(_133735, powerset(_133733)), empty(_133733)], (742 ^ _110373) ^ [_134029] : [empty(_134029), -(_134029 = empty_set)], (748 ^ _110373) ^ [_134231, _134233] : [in(_134233, _134231), empty(_134231)], (754 ^ _110373) ^ [_134418, _134420] : [empty(_134420), -(_134420 = _134418), empty(_134418)]], input).
% 8.05/8.60  ncf('1',plain,[finite(symmetric_difference(763 ^ [], 764 ^ []))],start(770 ^ 0)).
% 8.05/8.60  ncf('1.1',plain,[-(finite(symmetric_difference(763 ^ [], 764 ^ []))), 314 : element(symmetric_difference(763 ^ [], 764 ^ []), powerset(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])))), 314 : finite(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])))],extension(310 ^ 1,bind([[_120221, _120353], [set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), symmetric_difference(763 ^ [], 764 ^ [])]]))).
% 8.05/8.60  ncf('1.1.1',plain,[-(element(symmetric_difference(763 ^ [], 764 ^ []), powerset(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))))), subset(symmetric_difference(763 ^ [], 764 ^ []), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])))],extension(712 ^ 4,bind([[_133014, _133016], [set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), symmetric_difference(763 ^ [], 764 ^ [])]]))).
% 8.05/8.60  ncf('1.1.1.1',plain,[-(subset(symmetric_difference(763 ^ [], 764 ^ []), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])))), subset(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = symmetric_difference(763 ^ [], 764 ^ []), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))],extension(150 ^ 5,bind([[_115004, _115006, _115008, _115010], [set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), symmetric_difference(763 ^ [], 764 ^ []), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))]]))).
% 8.05/8.60  ncf('1.1.1.1.1',plain,[-(subset(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])))), subset(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))],extension(150 ^ 6,bind([[_115004, _115006, _115008, _115010], [set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))]]))).
% 8.05/8.60  ncf('1.1.1.1.1.1',plain,[-(subset(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])))), subset(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))],extension(150 ^ 7,bind([[_115004, _115006, _115008, _115010], [set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))]]))).
% 8.05/8.60  ncf('1.1.1.1.1.1.1',plain,[-(subset(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))))],extension(678 ^ 8,bind([[_131828, _131830], [_79636, set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))]]))).
% 8.05/8.60  ncf('1.1.1.1.1.1.2',plain,[-(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])))],extension(2 ^ 8,bind([[_110517], [set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))]]))).
% 8.05/8.60  ncf('1.1.1.1.1.1.3',plain,[-(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])))],extension(2 ^ 8,bind([[_110517], [set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))]]))).
% 8.05/8.60  ncf('1.1.1.1.1.2',plain,[-(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))), set_difference(763 ^ [], 764 ^ []) = set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []) = set_difference(764 ^ [], 763 ^ [])],extension(212 ^ 7,bind([[_116978, _116980, _116982, _116984], [set_difference(764 ^ [], 763 ^ []), set_difference(764 ^ [], 763 ^ []), set_difference(763 ^ [], 764 ^ []), set_difference(763 ^ [], 764 ^ [])]]))).
% 8.05/8.60  ncf('1.1.1.1.1.2.1',plain,[-(set_difference(763 ^ [], 764 ^ []) = set_difference(763 ^ [], 764 ^ []))],extension(2 ^ 8,bind([[_110517], [set_difference(763 ^ [], 764 ^ [])]]))).
% 8.05/8.60  ncf('1.1.1.1.1.2.2',plain,[-(set_difference(764 ^ [], 763 ^ []) = set_difference(764 ^ [], 763 ^ []))],extension(2 ^ 8,bind([[_110517], [set_difference(764 ^ [], 763 ^ [])]]))).
% 8.05/8.60  ncf('1.1.1.1.1.3',plain,[-(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))), set_difference(763 ^ [], 764 ^ []) = set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []) = set_difference(764 ^ [], 763 ^ [])],extension(212 ^ 7,bind([[_116978, _116980, _116982, _116984], [set_difference(764 ^ [], 763 ^ []), set_difference(764 ^ [], 763 ^ []), set_difference(763 ^ [], 764 ^ []), set_difference(763 ^ [], 764 ^ [])]]))).
% 8.05/8.60  ncf('1.1.1.1.1.3.1',plain,[-(set_difference(763 ^ [], 764 ^ []) = set_difference(763 ^ [], 764 ^ []))],extension(2 ^ 8,bind([[_110517], [set_difference(763 ^ [], 764 ^ [])]]))).
% 8.05/8.60  ncf('1.1.1.1.1.3.2',plain,[-(set_difference(764 ^ [], 763 ^ []) = set_difference(764 ^ [], 763 ^ []))],extension(2 ^ 8,bind([[_110517], [set_difference(764 ^ [], 763 ^ [])]]))).
% 8.05/8.60  ncf('1.1.1.1.2',plain,[-(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = symmetric_difference(763 ^ [], 764 ^ [])), symmetric_difference(763 ^ [], 764 ^ []) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))],extension(4 ^ 6,bind([[_110624, _110626], [set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])), symmetric_difference(763 ^ [], 764 ^ [])]]))).
% 8.05/8.60  ncf('1.1.1.1.2.1',plain,[-(symmetric_difference(763 ^ [], 764 ^ []) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])))],extension(378 ^ 7,bind([[_122328, _122330], [764 ^ [], 763 ^ []]]))).
% 8.05/8.60  ncf('1.1.1.1.3',plain,[-(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])) = set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []))), set_difference(763 ^ [], 764 ^ []) = set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ []) = set_difference(764 ^ [], 763 ^ [])],extension(212 ^ 6,bind([[_116978, _116980, _116982, _116984], [set_difference(764 ^ [], 763 ^ []), set_difference(764 ^ [], 763 ^ []), set_difference(763 ^ [], 764 ^ []), set_difference(763 ^ [], 764 ^ [])]]))).
% 8.05/8.60  ncf('1.1.1.1.3.1',plain,[-(set_difference(763 ^ [], 764 ^ []) = set_difference(763 ^ [], 764 ^ [])), 763 ^ [] = 763 ^ [], 764 ^ [] = 764 ^ []],extension(222 ^ 7,bind([[_117337, _117339, _117341, _117343], [764 ^ [], 764 ^ [], 763 ^ [], 763 ^ []]]))).
% 8.05/8.60  ncf('1.1.1.1.3.1.1',plain,[-(763 ^ [] = 763 ^ [])],extension(2 ^ 8,bind([[_110517], [763 ^ []]]))).
% 8.05/8.60  ncf('1.1.1.1.3.1.2',plain,[-(764 ^ [] = 764 ^ [])],extension(2 ^ 8,bind([[_110517], [764 ^ []]]))).
% 8.05/8.60  ncf('1.1.1.1.3.2',plain,[-(set_difference(764 ^ [], 763 ^ []) = set_difference(764 ^ [], 763 ^ [])), 764 ^ [] = 764 ^ [], 763 ^ [] = 763 ^ []],extension(222 ^ 7,bind([[_117337, _117339, _117341, _117343], [763 ^ [], 763 ^ [], 764 ^ [], 764 ^ []]]))).
% 8.05/8.60  ncf('1.1.1.1.3.2.1',plain,[-(764 ^ [] = 764 ^ [])],extension(2 ^ 8,bind([[_110517], [764 ^ []]]))).
% 8.05/8.60  ncf('1.1.1.1.3.2.2',plain,[-(763 ^ [] = 763 ^ [])],extension(2 ^ 8,bind([[_110517], [763 ^ []]]))).
% 8.05/8.60  ncf('1.1.2',plain,[-(finite(set_union2(set_difference(763 ^ [], 764 ^ []), set_difference(764 ^ [], 763 ^ [])))), finite(set_difference(763 ^ [], 764 ^ [])), finite(set_difference(764 ^ [], 763 ^ []))],extension(453 ^ 2,bind([[_124705, _124707], [set_difference(764 ^ [], 763 ^ []), set_difference(763 ^ [], 764 ^ [])]]))).
% 8.05/8.60  ncf('1.1.2.1',plain,[-(finite(set_difference(763 ^ [], 764 ^ []))), finite(763 ^ [])],extension(383 ^ 3,bind([[_122571, _122573], [764 ^ [], 763 ^ []]]))).
% 8.05/8.60  ncf('1.1.2.1.1',plain,[-(finite(763 ^ []))],extension(766 ^ 4)).
% 8.05/8.60  ncf('1.1.2.2',plain,[-(finite(set_difference(764 ^ [], 763 ^ []))), finite(764 ^ [])],extension(383 ^ 3,bind([[_122571, _122573], [763 ^ [], 764 ^ []]]))).
% 8.05/8.60  ncf('1.1.2.2.1',plain,[-(finite(764 ^ []))],extension(768 ^ 4)).
% 8.05/8.60  %-----------------------------------------------------
% 8.05/8.60  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------