%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU089+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 12:02:11 EDT 2023

% Result   : Theorem 22.09s 22.05s
% Output   : Proof 22.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU089+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n018.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 12:54:57 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 22.09/22.05  
% 22.09/22.05  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 22.09/22.05  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.09/22.05  %-----------------------------------------------------
% 22.09/22.05  ncf(matrix, plain, [(733 ^ _102992) ^ [] : [-(finite(729 ^ []))], (735 ^ _102992) ^ [] : [-(finite(730 ^ []))], (737 ^ _102992) ^ [] : [-(finite(731 ^ []))], (739 ^ _102992) ^ [] : [finite(cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []))], (212 ^ _102992) ^ [_109597, _109599, _109601, _109603] : [-(cartesian_product2(_109603, _109599) = cartesian_product2(_109601, _109597)), _109603 = _109601, _109599 = _109597], (222 ^ _102992) ^ [_109928, _109930] : [_109930 = _109928, -(powerset(_109930) = powerset(_109928))], (228 ^ _102992) ^ [_110182, _110184, _110186, _110188, _110190, _110192] : [-(cartesian_product3(_110192, _110188, _110184) = cartesian_product3(_110190, _110186, _110182)), _110192 = _110190, _110188 = _110186, _110184 = _110182], (2 ^ _102992) ^ [_103136] : [-(_103136 = _103136)], (4 ^ _102992) ^ [_103243, _103245] : [_103245 = _103243, -(_103243 = _103245)], (10 ^ _102992) ^ [_103447, _103449, _103451] : [-(_103451 = _103447), _103451 = _103449, _103449 = _103447], (20 ^ _102992) ^ [_103760, _103762] : [-(function_yielding(_103760)), _103762 = _103760, function_yielding(_103762)], (30 ^ _102992) ^ [_104055, _104057] : [-(being_limit_ordinal(_104055)), _104057 = _104055, being_limit_ordinal(_104057)], (40 ^ _102992) ^ [_104350, _104352] : [-(ordinal_yielding(_104350)), _104352 = _104350, ordinal_yielding(_104352)], (50 ^ _102992) ^ [_104645, _104647] : [-(natural(_104645)), _104647 = _104645, natural(_104647)], (60 ^ _102992) ^ [_104940, _104942] : [-(one_to_one(_104940)), _104942 = _104940, one_to_one(_104942)], (70 ^ _102992) ^ [_105235, _105237] : [-(epsilon_transitive(_105235)), _105237 = _105235, epsilon_transitive(_105237)], (80 ^ _102992) ^ [_105530, _105532] : [-(epsilon_connected(_105530)), _105532 = _105530, epsilon_connected(_105532)], (90 ^ _102992) ^ [_105825, _105827] : [-(ordinal(_105825)), _105827 = _105825, ordinal(_105827)], (100 ^ _102992) ^ [_106120, _106122] : [-(relation_empty_yielding(_106120)), _106122 = _106120, relation_empty_yielding(_106122)], (110 ^ _102992) ^ [_106415, _106417] : [-(transfinite_sequence(_106415)), _106417 = _106415, transfinite_sequence(_106417)], (120 ^ _102992) ^ [_106710, _106712] : [-(relation(_106710)), _106712 = _106710, relation(_106712)], (130 ^ _102992) ^ [_107005, _107007] : [-(relation_non_empty(_107005)), _107007 = _107005, relation_non_empty(_107007)], (140 ^ _102992) ^ [_107300, _107302] : [-(function(_107300)), _107302 = _107300, function(_107302)], (150 ^ _102992) ^ [_107623, _107625, _107627, _107629] : [-(subset(_107627, _107623)), subset(_107629, _107625), _107629 = _107627, _107625 = _107623], (164 ^ _102992) ^ [_108067, _108069, _108071, _108073] : [-(element(_108071, _108067)), element(_108073, _108069), _108073 = _108071, _108069 = _108067], (178 ^ _102992) ^ [_108511, _108513, _108515, _108517] : [-(in(_108515, _108511)), in(_108517, _108513), _108517 = _108515, _108513 = _108511], (192 ^ _102992) ^ [_108927, _108929] : [-(empty(_108927)), _108929 = _108927, empty(_108929)], (202 ^ _102992) ^ [_109202, _109204] : [-(finite(_109202)), _109204 = _109202, finite(_109204)], (242 ^ _102992) ^ [_110656, _110658] : [in(_110658, _110656), in(_110656, _110658)], (248 ^ _102992) ^ [_110853] : [ordinal(_110853), 251 ^ _102992 : [(252 ^ _102992) ^ [_110993] : [element(_110993, _110853), 255 ^ _102992 : [(256 ^ _102992) ^ [] : [-(epsilon_transitive(_110993))], (258 ^ _102992) ^ [] : [-(epsilon_connected(_110993))], (260 ^ _102992) ^ [] : [-(ordinal(_110993))]]]]], (262 ^ _102992) ^ [_111339] : [empty(_111339), -(finite(_111339))], (268 ^ _102992) ^ [_111525] : [empty(_111525), -(function(_111525))], (274 ^ _102992) ^ [_111711] : [ordinal(_111711), 277 ^ _102992 : [(278 ^ _102992) ^ [] : [-(epsilon_transitive(_111711))], (280 ^ _102992) ^ [] : [-(epsilon_connected(_111711))]]], (282 ^ _102992) ^ [_111968] : [empty(_111968), -(relation(_111968))], (288 ^ _102992) ^ [_112182, _112184, _112186] : [element(_112182, powerset(cartesian_product2(_112186, _112184))), -(relation(_112182))], (294 ^ _102992) ^ [_112392] : [301 ^ _102992 : [(302 ^ _102992) ^ [] : [-(epsilon_transitive(_112392))], (304 ^ _102992) ^ [] : [-(epsilon_connected(_112392))], (306 ^ _102992) ^ [] : [-(ordinal(_112392))], (308 ^ _102992) ^ [] : [-(natural(_112392))]], empty(_112392), ordinal(_112392)], (310 ^ _102992) ^ [_112872] : [finite(_112872), 313 ^ _102992 : [(314 ^ _102992) ^ [_113004] : [element(_113004, powerset(_112872)), -(finite(_113004))]]], (320 ^ _102992) ^ [_113209] : [331 ^ _102992 : [(332 ^ _102992) ^ [] : [-(relation(_113209))], (334 ^ _102992) ^ [] : [-(function(_113209))], (336 ^ _102992) ^ [] : [-(one_to_one(_113209))]], relation(_113209), empty(_113209), function(_113209)], (338 ^ _102992) ^ [_113702] : [-(ordinal(_113702)), epsilon_transitive(_113702), epsilon_connected(_113702)], (348 ^ _102992) ^ [_113971] : [empty(_113971), 351 ^ _102992 : [(352 ^ _102992) ^ [] : [-(epsilon_transitive(_113971))], (354 ^ _102992) ^ [] : [-(epsilon_connected(_113971))], (356 ^ _102992) ^ [] : [-(ordinal(_113971))]]], (358 ^ _102992) ^ [_114298] : [element(_114298, positive_rationals), ordinal(_114298), 365 ^ _102992 : [(366 ^ _102992) ^ [] : [-(epsilon_transitive(_114298))], (368 ^ _102992) ^ [] : [-(epsilon_connected(_114298))], (370 ^ _102992) ^ [] : [-(ordinal(_114298))], (372 ^ _102992) ^ [] : [-(natural(_114298))]]], (374 ^ _102992) ^ [_114793, _114795, _114797] : [-(cartesian_product3(_114797, _114795, _114793) = cartesian_product2(cartesian_product2(_114797, _114795), _114793))], (377 ^ _102992) ^ [_114924] : [-(element(375 ^ [_114924], _114924))], (379 ^ _102992) ^ [] : [-(empty(empty_set))], (381 ^ _102992) ^ [] : [-(relation(empty_set))], (383 ^ _102992) ^ [] : [-(relation_empty_yielding(empty_set))], (385 ^ _102992) ^ [_115199, _115201] : [-(finite(cartesian_product2(_115201, _115199))), finite(_115201), finite(_115199)], (395 ^ _102992) ^ [_115468] : [empty(powerset(_115468))], (397 ^ _102992) ^ [] : [-(empty(empty_set))], (399 ^ _102992) ^ [] : [-(relation(empty_set))], (401 ^ _102992) ^ [] : [-(relation_empty_yielding(empty_set))], (403 ^ _102992) ^ [] : [-(function(empty_set))], (405 ^ _102992) ^ [] : [-(one_to_one(empty_set))], (407 ^ _102992) ^ [] : [-(empty(empty_set))], (409 ^ _102992) ^ [] : [-(epsilon_transitive(empty_set))], (411 ^ _102992) ^ [] : [-(epsilon_connected(empty_set))], (413 ^ _102992) ^ [] : [-(ordinal(empty_set))], (415 ^ _102992) ^ [] : [-(empty(empty_set))], (417 ^ _102992) ^ [] : [-(relation(empty_set))], (419 ^ _102992) ^ [_116175, _116177] : [empty(cartesian_product2(_116177, _116175)), -(empty(_116177)), -(empty(_116175))], (429 ^ _102992) ^ [_116495, _116497, _116499] : [empty(cartesian_product3(_116499, _116497, _116495)), -(empty(_116499)), -(empty(_116497)), -(empty(_116495))], (443 ^ _102992) ^ [] : [empty(positive_rationals)], (446 ^ _102992) ^ [] : [empty(444 ^ [])], (448 ^ _102992) ^ [] : [-(epsilon_transitive(444 ^ []))], (450 ^ _102992) ^ [] : [-(epsilon_connected(444 ^ []))], (452 ^ _102992) ^ [] : [-(ordinal(444 ^ []))], (454 ^ _102992) ^ [] : [-(natural(444 ^ []))], (457 ^ _102992) ^ [] : [empty(455 ^ [])], (459 ^ _102992) ^ [] : [-(finite(455 ^ []))], (462 ^ _102992) ^ [] : [-(relation(460 ^ []))], (464 ^ _102992) ^ [] : [-(function(460 ^ []))], (466 ^ _102992) ^ [] : [-(function_yielding(460 ^ []))], (469 ^ _102992) ^ [] : [-(relation(467 ^ []))], (471 ^ _102992) ^ [] : [-(function(467 ^ []))], (474 ^ _102992) ^ [] : [-(epsilon_transitive(472 ^ []))], (476 ^ _102992) ^ [] : [-(epsilon_connected(472 ^ []))], (478 ^ _102992) ^ [] : [-(ordinal(472 ^ []))], (481 ^ _102992) ^ [] : [-(epsilon_transitive(479 ^ []))], (483 ^ _102992) ^ [] : [-(epsilon_connected(479 ^ []))], (485 ^ _102992) ^ [] : [-(ordinal(479 ^ []))], (487 ^ _102992) ^ [] : [-(being_limit_ordinal(479 ^ []))], (490 ^ _102992) ^ [] : [-(empty(488 ^ []))], (492 ^ _102992) ^ [] : [-(relation(488 ^ []))], (494 ^ _102992) ^ [_118410] : [-(empty(_118410)), 498 ^ _102992 : [(499 ^ _102992) ^ [] : [-(element(497 ^ [_118410], powerset(_118410)))], (501 ^ _102992) ^ [] : [empty(497 ^ [_118410])]]], (504 ^ _102992) ^ [] : [-(empty(502 ^ []))], (507 ^ _102992) ^ [] : [-(element(505 ^ [], positive_rationals))], (509 ^ _102992) ^ [] : [empty(505 ^ [])], (511 ^ _102992) ^ [] : [-(epsilon_transitive(505 ^ []))], (513 ^ _102992) ^ [] : [-(epsilon_connected(505 ^ []))], (515 ^ _102992) ^ [] : [-(ordinal(505 ^ []))], (518 ^ _102992) ^ [_119253] : [-(element(516 ^ [_119253], powerset(_119253)))], (520 ^ _102992) ^ [_119324] : [-(empty(516 ^ [_119324]))], (522 ^ _102992) ^ [_119392] : [-(relation(516 ^ [_119392]))], (524 ^ _102992) ^ [_119460] : [-(function(516 ^ [_119460]))], (526 ^ _102992) ^ [_119528] : [-(one_to_one(516 ^ [_119528]))], (528 ^ _102992) ^ [_119596] : [-(epsilon_transitive(516 ^ [_119596]))], (530 ^ _102992) ^ [_119664] : [-(epsilon_connected(516 ^ [_119664]))], (532 ^ _102992) ^ [_119732] : [-(ordinal(516 ^ [_119732]))], (534 ^ _102992) ^ [_119800] : [-(natural(516 ^ [_119800]))], (536 ^ _102992) ^ [_119848] : [-(finite(516 ^ [_119848]))], (539 ^ _102992) ^ [] : [-(relation(537 ^ []))], (541 ^ _102992) ^ [] : [-(empty(537 ^ []))], (543 ^ _102992) ^ [] : [-(function(537 ^ []))], (546 ^ _102992) ^ [] : [-(relation(544 ^ []))], (548 ^ _102992) ^ [] : [-(function(544 ^ []))], (550 ^ _102992) ^ [] : [-(one_to_one(544 ^ []))], (552 ^ _102992) ^ [] : [-(empty(544 ^ []))], (554 ^ _102992) ^ [] : [-(epsilon_transitive(544 ^ []))], (556 ^ _102992) ^ [] : [-(epsilon_connected(544 ^ []))], (558 ^ _102992) ^ [] : [-(ordinal(544 ^ []))], (561 ^ _102992) ^ [] : [-(relation(559 ^ []))], (563 ^ _102992) ^ [] : [-(function(559 ^ []))], (565 ^ _102992) ^ [] : [-(transfinite_sequence(559 ^ []))], (567 ^ _102992) ^ [] : [-(ordinal_yielding(559 ^ []))], (570 ^ _102992) ^ [] : [empty(568 ^ [])], (572 ^ _102992) ^ [] : [-(relation(568 ^ []))], (575 ^ _102992) ^ [_121091] : [-(element(573 ^ [_121091], powerset(_121091)))], (577 ^ _102992) ^ [_121142] : [-(empty(573 ^ [_121142]))], (580 ^ _102992) ^ [] : [empty(578 ^ [])], (583 ^ _102992) ^ [] : [-(element(581 ^ [], positive_rationals))], (585 ^ _102992) ^ [] : [-(empty(581 ^ []))], (587 ^ _102992) ^ [] : [-(epsilon_transitive(581 ^ []))], (589 ^ _102992) ^ [] : [-(epsilon_connected(581 ^ []))], (591 ^ _102992) ^ [] : [-(ordinal(581 ^ []))], (593 ^ _102992) ^ [] : [-(natural(581 ^ []))], (595 ^ _102992) ^ [_121721] : [-(empty(_121721)), 599 ^ _102992 : [(600 ^ _102992) ^ [] : [-(element(598 ^ [_121721], powerset(_121721)))], (602 ^ _102992) ^ [] : [empty(598 ^ [_121721])], (604 ^ _102992) ^ [] : [-(finite(598 ^ [_121721]))]]], (607 ^ _102992) ^ [] : [-(relation(605 ^ []))], (609 ^ _102992) ^ [] : [-(function(605 ^ []))], (611 ^ _102992) ^ [] : [-(one_to_one(605 ^ []))], (614 ^ _102992) ^ [] : [empty(612 ^ [])], (616 ^ _102992) ^ [] : [-(epsilon_transitive(612 ^ []))], (618 ^ _102992) ^ [] : [-(epsilon_connected(612 ^ []))], (620 ^ _102992) ^ [] : [-(ordinal(612 ^ []))], (623 ^ _102992) ^ [] : [-(relation(621 ^ []))], (625 ^ _102992) ^ [] : [-(relation_empty_yielding(621 ^ []))], (628 ^ _102992) ^ [] : [-(relation(626 ^ []))], (630 ^ _102992) ^ [] : [-(relation_empty_yielding(626 ^ []))], (632 ^ _102992) ^ [] : [-(function(626 ^ []))], (635 ^ _102992) ^ [] : [-(relation(633 ^ []))], (637 ^ _102992) ^ [] : [-(function(633 ^ []))], (639 ^ _102992) ^ [] : [-(transfinite_sequence(633 ^ []))], (642 ^ _102992) ^ [] : [-(relation(640 ^ []))], (644 ^ _102992) ^ [] : [-(relation_non_empty(640 ^ []))], (646 ^ _102992) ^ [] : [-(function(640 ^ []))], (648 ^ _102992) ^ [_123387, _123389] : [-(subset(_123389, _123389))], (650 ^ _102992) ^ [_123496, _123498] : [-(finite(cartesian_product2(_123498, _123496))), finite(_123498), finite(_123496)], (660 ^ _102992) ^ [_123795, _123797] : [in(_123797, _123795), -(element(_123797, _123795))], (666 ^ _102992) ^ [_124005, _124007] : [element(_124007, _124005), -(empty(_124005)), -(in(_124007, _124005))], (676 ^ _102992) ^ [_124332, _124334] : [element(_124334, powerset(_124332)), -(subset(_124334, _124332))], (682 ^ _102992) ^ [_124498, _124500] : [subset(_124500, _124498), -(element(_124500, powerset(_124498)))], (688 ^ _102992) ^ [_124728, _124730, _124732] : [-(element(_124732, _124728)), in(_124732, _124730), element(_124730, powerset(_124728))], (698 ^ _102992) ^ [_125055, _125057, _125059] : [in(_125059, _125057), element(_125057, powerset(_125055)), empty(_125055)], (708 ^ _102992) ^ [_125351] : [empty(_125351), -(_125351 = empty_set)], (714 ^ _102992) ^ [_125553, _125555] : [in(_125555, _125553), empty(_125553)], (720 ^ _102992) ^ [_125740, _125742] : [empty(_125742), -(_125742 = _125740), empty(_125740)]], input).
% 22.09/22.05  ncf('1',plain,[finite(cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []))],start(739 ^ 0)).
% 22.09/22.05  ncf('1.1',plain,[-(finite(cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []))), 314 : element(cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []), powerset(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []))), 314 : finite(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []))],extension(310 ^ 1,bind([[_112872, _113004], [cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product3(729 ^ [], 730 ^ [], 731 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1',plain,[-(element(cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []), powerset(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])))), subset(cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []))],extension(682 ^ 4,bind([[_124498, _124500], [cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product3(729 ^ [], 730 ^ [], 731 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1',plain,[-(subset(cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []))), subset(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])],extension(150 ^ 5,bind([[_107623, _107625, _107627, _107629], [cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.1',plain,[-(subset(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []))), subset(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])],extension(150 ^ 6,bind([[_107623, _107625, _107627, _107629], [cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.1.1',plain,[-(subset(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []))), subset(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])],extension(150 ^ 7,bind([[_107623, _107625, _107627, _107629], [cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.1.1.1',plain,[-(subset(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])))],extension(648 ^ 8,bind([[_123387, _123389], [_74411, cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.1.1.2',plain,[-(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []))],extension(2 ^ 8,bind([[_103136], [cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.1.1.3',plain,[-(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []))],extension(2 ^ 8,bind([[_103136], [cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.1.2',plain,[-(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])), cartesian_product2(729 ^ [], 730 ^ []) = cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [] = 731 ^ []],extension(212 ^ 7,bind([[_109597, _109599, _109601, _109603], [731 ^ [], 731 ^ [], cartesian_product2(729 ^ [], 730 ^ []), cartesian_product2(729 ^ [], 730 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.1.2.1',plain,[-(cartesian_product2(729 ^ [], 730 ^ []) = cartesian_product2(729 ^ [], 730 ^ []))],extension(2 ^ 8,bind([[_103136], [cartesian_product2(729 ^ [], 730 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.1.2.2',plain,[-(731 ^ [] = 731 ^ [])],extension(2 ^ 8,bind([[_103136], [731 ^ []]]))).
% 22.09/22.05  ncf('1.1.1.1.1.3',plain,[-(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])), cartesian_product2(729 ^ [], 730 ^ []) = cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [] = 731 ^ []],extension(212 ^ 7,bind([[_109597, _109599, _109601, _109603], [731 ^ [], 731 ^ [], cartesian_product2(729 ^ [], 730 ^ []), cartesian_product2(729 ^ [], 730 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.1.3.1',plain,[-(cartesian_product2(729 ^ [], 730 ^ []) = cartesian_product2(729 ^ [], 730 ^ []))],extension(2 ^ 8,bind([[_103136], [cartesian_product2(729 ^ [], 730 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.1.3.2',plain,[-(731 ^ [] = 731 ^ [])],extension(2 ^ 8,bind([[_103136], [731 ^ []]]))).
% 22.09/22.05  ncf('1.1.1.1.2',plain,[-(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product3(729 ^ [], 730 ^ [], 731 ^ [])), cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])],extension(4 ^ 6,bind([[_103243, _103245], [cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []), cartesian_product3(729 ^ [], 730 ^ [], 731 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.2.1',plain,[-(cartesian_product3(729 ^ [], 730 ^ [], 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []))],extension(374 ^ 7,bind([[_114793, _114795, _114797], [731 ^ [], 730 ^ [], 729 ^ []]]))).
% 22.09/22.05  ncf('1.1.1.1.3',plain,[-(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []) = cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [])), cartesian_product2(729 ^ [], 730 ^ []) = cartesian_product2(729 ^ [], 730 ^ []), 731 ^ [] = 731 ^ []],extension(212 ^ 6,bind([[_109597, _109599, _109601, _109603], [731 ^ [], 731 ^ [], cartesian_product2(729 ^ [], 730 ^ []), cartesian_product2(729 ^ [], 730 ^ [])]]))).
% 22.09/22.05  ncf('1.1.1.1.3.1',plain,[-(cartesian_product2(729 ^ [], 730 ^ []) = cartesian_product2(729 ^ [], 730 ^ [])), 729 ^ [] = 729 ^ [], 730 ^ [] = 730 ^ []],extension(212 ^ 7,bind([[_109597, _109599, _109601, _109603], [730 ^ [], 730 ^ [], 729 ^ [], 729 ^ []]]))).
% 22.09/22.05  ncf('1.1.1.1.3.1.1',plain,[-(729 ^ [] = 729 ^ [])],extension(2 ^ 8,bind([[_103136], [729 ^ []]]))).
% 22.09/22.05  ncf('1.1.1.1.3.1.2',plain,[-(730 ^ [] = 730 ^ [])],extension(2 ^ 8,bind([[_103136], [730 ^ []]]))).
% 22.09/22.05  ncf('1.1.1.1.3.2',plain,[-(731 ^ [] = 731 ^ [])],extension(2 ^ 7,bind([[_103136], [731 ^ []]]))).
% 22.09/22.05  ncf('1.1.2',plain,[-(finite(cartesian_product2(cartesian_product2(729 ^ [], 730 ^ []), 731 ^ []))), finite(cartesian_product2(729 ^ [], 730 ^ [])), finite(731 ^ [])],extension(385 ^ 2,bind([[_115199, _115201], [731 ^ [], cartesian_product2(729 ^ [], 730 ^ [])]]))).
% 22.09/22.05  ncf('1.1.2.1',plain,[-(finite(cartesian_product2(729 ^ [], 730 ^ []))), finite(729 ^ []), finite(730 ^ [])],extension(385 ^ 3,bind([[_115199, _115201], [730 ^ [], 729 ^ []]]))).
% 22.09/22.05  ncf('1.1.2.1.1',plain,[-(finite(729 ^ []))],extension(733 ^ 4)).
% 22.09/22.05  ncf('1.1.2.1.2',plain,[-(finite(730 ^ []))],extension(735 ^ 4)).
% 22.09/22.05  ncf('1.1.2.2',plain,[-(finite(731 ^ []))],extension(737 ^ 3)).
% 22.09/22.05  %-----------------------------------------------------
% 22.09/22.05  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------