%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU376+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 12:03:20 EDT 2023

% Result   : Theorem 225.18s 217.64s
% Output   : Proof 225.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU376+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May 18 13:57:05 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 225.18/217.64  
% 225.18/217.64  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 225.18/217.64  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 225.18/217.64  %-----------------------------------------------------
% 225.18/217.64  ncf(matrix, plain, [(1028 ^ _194471) ^ [] : [is_often_in(1010 ^ [], 1015 ^ [], 1024 ^ [])], (1021 ^ _194471) ^ [] : [-(directed_relstr(1015 ^ []))], (1023 ^ _194471) ^ [] : [-(net_str(1015 ^ [], 1010 ^ []))], (1026 ^ _194471) ^ [] : [-(is_eventually_in(1010 ^ [], 1015 ^ [], 1024 ^ []))], (1017 ^ _194471) ^ [] : [empty_carrier(1015 ^ [])], (1014 ^ _194471) ^ [] : [-(one_sorted_str(1010 ^ []))], (1012 ^ _194471) ^ [] : [empty_carrier(1010 ^ [])], (1019 ^ _194471) ^ [] : [-(transitive_relstr(1015 ^ []))], !, (828 ^ _161260) ^ [] : [-(relation(824 ^ []))], (857 ^ _161260) ^ [] : [-(relation(855 ^ []))], (88 ^ _161260) ^ [_164092, _164094] : [-(function(_164092)), _164094 = _164092, function(_164094)], (573 ^ _161260) ^ [_180845] : [-(empty_carrier(_180845)), one_sorted_str(_180845), 580 ^ _161260 : [(581 ^ _161260) ^ [_181094] : [-(empty_carrier(_181094)), net_str(_181094, _180845), 588 ^ _161260 : [(589 ^ _161260) ^ [_181337] : [element(_181337, the_carrier(_181094)), -(apply_netmap(_180845, _181094, _181337) = apply_on_structs(_181094, _180845, the_mapping(_180845, _181094), _181337))]]]]], (939 ^ _161260) ^ [_191785, _191787] : [-(subset(_191787, _191787))], (276 ^ _161260) ^ [_170110, _170112, _170114, _170116, _170118, _170120] : [-(is_often_in(_170118, _170114, _170110)), is_often_in(_170120, _170116, _170112), _170120 = _170118, _170116 = _170114, _170112 = _170110], (759 ^ _161260) ^ [] : [-(relation(empty_set))], (995 ^ _161260) ^ [_193652, _193654] : [in(_193654, _193652), empty(_193652)], (328 ^ _161260) ^ [_171995, _171997] : [_171997 = _171995, -(the_carrier(_171997) = the_carrier(_171995))], (787 ^ _161260) ^ [_187078] : [empty(the_carrier(_187078)), -(empty_carrier(_187078)), one_sorted_str(_187078)], (741 ^ _161260) ^ [_185537] : [one_sorted_str(_185537), -(net_str(744 ^ [_185537], _185537))], (927 ^ _161260) ^ [_191406, _191408, _191410] : [relation_of2_as_subset(_191406, _191410, _191408), -(relation_of2(_191406, _191410, _191408))], (98 ^ _161260) ^ [_164443, _164445, _164447, _164449, _164451, _164453] : [-(quasi_total(_164451, _164447, _164443)), quasi_total(_164453, _164449, _164445), _164453 = _164451, _164449 = _164447, _164445 = _164443], (20 ^ _161260) ^ [_162008, _162010] : [-(v1_yellow_3(_162008)), _162010 = _162008, v1_yellow_3(_162010)], (380 ^ _161260) ^ [_173872] : [empty(_173872), -(relation(_173872))], (234 ^ _161260) ^ [_168726, _168728] : [-(directed_relstr(_168726)), _168728 = _168726, directed_relstr(_168728)], (595 ^ _161260) ^ [] : [true___, -(true___)], (116 ^ _161260) ^ [_165052, _165054, _165056, _165058, _165060, _165062] : [-(relation_of2_as_subset(_165060, _165056, _165052)), relation_of2_as_subset(_165062, _165058, _165054), _165062 = _165060, _165058 = _165056, _165054 = _165052], (204 ^ _161260) ^ [_167841, _167843] : [-(one_sorted_str(_167841)), _167843 = _167841, one_sorted_str(_167843)], (864 ^ _161260) ^ [] : [-(relation(862 ^ []))], (478 ^ _161260) ^ [_177242] : [-(empty_carrier(_177242)), one_sorted_str(_177242), 485 ^ _161260 : [(486 ^ _161260) ^ [_177515] : [-(empty_carrier(_177515)), net_str(_177515, _177242), 493 ^ _161260 : [(509 ^ _161260) ^ [_178454] : [-(is_often_in(_177242, _177515, _178454)), 511 ^ _161260 : [(514 ^ _161260) ^ [_178739] : [element(_178739, the_carrier(_177515)), related(_177515, 510 ^ [_177242, _177515, _178454], _178739), in(apply_netmap(_177242, _177515, _178739), _178454)], (512 ^ _161260) ^ [] : [-(element(510 ^ [_177242, _177515, _178454], the_carrier(_177515)))]]], (494 ^ _161260) ^ [_177811] : [is_often_in(_177242, _177515, _177811), 497 ^ _161260 : [(498 ^ _161260) ^ [_177984] : [element(_177984, the_carrier(_177515)), 502 ^ _161260 : [(505 ^ _161260) ^ [] : [-(related(_177515, _177984, 501 ^ [_177242, _177515, _177811, _177984]))], (507 ^ _161260) ^ [] : [-(in(apply_netmap(_177242, _177515, 501 ^ [_177242, _177515, _177811, _177984]), _177811))], (503 ^ _161260) ^ [] : [-(element(501 ^ [_177242, _177515, _177811, _177984], the_carrier(_177515)))]]]]]]]]], (166 ^ _161260) ^ [_166686, _166688, _166690, _166692] : [-(element(_166690, _166686)), element(_166692, _166688), _166692 = _166690, _166688 = _166686], (675 ^ _161260) ^ [_183642] : [rel_str(_183642), -(one_sorted_str(_183642))], (880 ^ _161260) ^ [_189963] : [888 ^ _161260 : [(891 ^ _161260) ^ [] : [empty(887 ^ [_189963])], (889 ^ _161260) ^ [] : [-(element(887 ^ [_189963], powerset(the_carrier(_189963))))]], -(empty_carrier(_189963)), one_sorted_str(_189963)], (1001 ^ _161260) ^ [_193839, _193841] : [empty(_193841), -(_193841 = _193839), empty(_193839)], (214 ^ _161260) ^ [_168136, _168138] : [-(empty_carrier(_168136)), _168138 = _168136, empty_carrier(_168138)], (761 ^ _161260) ^ [] : [-(relation_empty_yielding(empty_set))], (847 ^ _161260) ^ [] : [empty(845 ^ [])], (819 ^ _161260) ^ [] : [-(relation(817 ^ []))], (757 ^ _161260) ^ [] : [-(empty(empty_set))], (430 ^ _161260) ^ [_175331] : [-(empty_carrier(_175331)), one_sorted_str(_175331), 437 ^ _161260 : [(438 ^ _161260) ^ [_175604] : [-(empty_carrier(_175604)), net_str(_175604, _175331), 445 ^ _161260 : [(446 ^ _161260) ^ [_175900] : [is_eventually_in(_175331, _175604, _175900), 450 ^ _161260 : [(453 ^ _161260) ^ [_176233] : [element(_176233, the_carrier(_175604)), related(_175604, 449 ^ [_175331, _175604, _175900], _176233), -(in(apply_netmap(_175331, _175604, _176233), _175900))], (451 ^ _161260) ^ [] : [-(element(449 ^ [_175331, _175604, _175900], the_carrier(_175604)))]]], (463 ^ _161260) ^ [_176549] : [-(is_eventually_in(_175331, _175604, _176549)), 464 ^ _161260 : [(465 ^ _161260) ^ [_176674] : [element(_176674, the_carrier(_175604)), 469 ^ _161260 : [(472 ^ _161260) ^ [] : [-(related(_175604, _176674, 468 ^ [_175331, _175604, _176549, _176674]))], (474 ^ _161260) ^ [] : [in(apply_netmap(_175331, _175604, 468 ^ [_175331, _175604, _176549, _176674]), _176549)], (470 ^ _161260) ^ [] : [-(element(468 ^ [_175331, _175604, _176549, _176674], the_carrier(_175604)))]]]]]]]]], (362 ^ _161260) ^ [_173241, _173243] : [_173243 = _173241, -(powerset(_173243) = powerset(_173241))], (874 ^ _161260) ^ [] : [-(relation(872 ^ []))], (814 ^ _161260) ^ [] : [-(relation(812 ^ []))], (755 ^ _161260) ^ [_186083, _186085] : [-(relation_of2_as_subset(753 ^ [_186083, _186085], _186085, _186083))], (374 ^ _161260) ^ [_173686] : [empty(_173686), -(function(_173686))], (854 ^ _161260) ^ [_189147] : [-(empty(850 ^ [_189147]))], (876 ^ _161260) ^ [] : [-(relation_empty_yielding(872 ^ []))], (739 ^ _161260) ^ [] : [-(one_sorted_str(737 ^ []))], (823 ^ _161260) ^ [] : [-(function(817 ^ []))], (194 ^ _161260) ^ [_167546, _167548] : [-(empty(_167546)), _167548 = _167546, empty(_167548)], (352 ^ _161260) ^ [_172930, _172932, _172934, _172936] : [-(apply(_172936, _172932) = apply(_172934, _172930)), _172936 = _172934, _172932 = _172930], (703 ^ _161260) ^ [] : [true___, -(true___)], (653 ^ _161260) ^ [_183052, _183054, _183056] : [-(element(apply_netmap(_183056, _183054, _183052), the_carrier(_183056))), -(empty_carrier(_183056)), one_sorted_str(_183056), -(empty_carrier(_183054)), net_str(_183054, _183056), element(_183052, the_carrier(_183054))], (797 ^ _161260) ^ [_187339] : [empty(powerset(_187339))], (681 ^ _161260) ^ [] : [true___, -(true___)], (799 ^ _161260) ^ [] : [-(empty(empty_set))], (957 ^ _161260) ^ [_192431, _192433] : [element(_192433, powerset(_192431)), -(subset(_192433, _192431))], (697 ^ _161260) ^ [] : [true___, -(true___)], (2 ^ _161260) ^ [_161384] : [-(_161384 = _161384)], (308 ^ _161260) ^ [_171305, _171307, _171309, _171311] : [-(the_mapping(_171311, _171307) = the_mapping(_171309, _171305)), _171311 = _171309, _171307 = _171305], (258 ^ _161260) ^ [_169521, _169523, _169525, _169527, _169529, _169531] : [-(is_eventually_in(_169529, _169525, _169521)), is_eventually_in(_169531, _169527, _169523), _169531 = _169529, _169527 = _169525, _169523 = _169521], (816 ^ _161260) ^ [] : [-(function(812 ^ []))], (989 ^ _161260) ^ [_193450] : [empty(_193450), -(_193450 = empty_set)], (152 ^ _161260) ^ [_166242, _166244, _166246, _166248] : [-(subset(_166246, _166242)), subset(_166248, _166244), _166248 = _166246, _166244 = _166242], (180 ^ _161260) ^ [_167130, _167132, _167134, _167136] : [-(in(_167134, _167130)), in(_167136, _167132), _167136 = _167134, _167132 = _167130], (641 ^ _161260) ^ [] : [true___, -(true___)], (647 ^ _161260) ^ [] : [true___, -(true___)], (244 ^ _161260) ^ [_169049, _169051, _169053, _169055] : [-(net_str(_169053, _169049)), net_str(_169055, _169051), _169055 = _169053, _169051 = _169049], (601 ^ _161260) ^ [_181746, _181748, _181750, _181752] : [-(element(apply_on_structs(_181752, _181750, _181748, _181746), the_carrier(_181750))), -(empty_carrier(_181752)), one_sorted_str(_181752), -(empty_carrier(_181750)), one_sorted_str(_181750), function(_181748), quasi_total(_181748, the_carrier(_181752), the_carrier(_181750)), relation_of2(_181748, the_carrier(_181752), the_carrier(_181750)), element(_181746, the_carrier(_181752))], (821 ^ _161260) ^ [] : [-(relation_empty_yielding(817 ^ []))], (871 ^ _161260) ^ [] : [empty_carrier(867 ^ [])], (969 ^ _161260) ^ [_192827, _192829, _192831] : [-(element(_192831, _192827)), in(_192831, _192829), element(_192829, powerset(_192827))], (635 ^ _161260) ^ [] : [true___, -(true___)], (736 ^ _161260) ^ [] : [-(rel_str(734 ^ []))], (402 ^ _161260) ^ [_174565] : [413 ^ _161260 : [(416 ^ _161260) ^ [] : [-(function(_174565))], (418 ^ _161260) ^ [] : [-(one_to_one(_174565))], (414 ^ _161260) ^ [] : [-(relation(_174565))]], relation(_174565), empty(_174565), function(_174565)], (134 ^ _161260) ^ [_165661, _165663, _165665, _165667, _165669, _165671] : [-(relation_of2(_165669, _165665, _165661)), relation_of2(_165671, _165667, _165663), _165671 = _165669, _165667 = _165665, _165663 = _165661], (420 ^ _161260) ^ [_175058] : [rel_str(_175058), -(v1_yellow_3(_175058)), empty_carrier(_175058)], (941 ^ _161260) ^ [_191894, _191896] : [in(_191896, _191894), -(element(_191896, _191894))], (859 ^ _161260) ^ [] : [-(function(855 ^ []))], (334 ^ _161260) ^ [_172297, _172299, _172301, _172303, _172305, _172307, _172309, _172311] : [-(apply_on_structs(_172311, _172307, _172303, _172299) = apply_on_structs(_172309, _172305, _172301, _172297)), _172311 = _172309, _172307 = _172305, _172303 = _172301, _172299 = _172297], (840 ^ _161260) ^ [] : [-(relation(838 ^ []))], (893 ^ _161260) ^ [_190426, _190428, _190430, _190432] : [-(apply_on_structs(_190432, _190430, _190428, _190426) = apply(_190428, _190426)), -(empty_carrier(_190432)), one_sorted_str(_190432), -(empty_carrier(_190430)), one_sorted_str(_190430), function(_190428), quasi_total(_190428, the_carrier(_190432), the_carrier(_190430)), relation_of2(_190428, the_carrier(_190432), the_carrier(_190430)), element(_190426, the_carrier(_190432))], (78 ^ _161260) ^ [_163797, _163799] : [-(relation_empty_yielding(_163797)), _163799 = _163797, relation_empty_yielding(_163799)], (826 ^ _161260) ^ [] : [-(empty(824 ^ []))], (386 ^ _161260) ^ [_174086, _174088, _174090] : [element(_174086, powerset(cartesian_product2(_174090, _174088))), -(relation(_174086))], (318 ^ _161260) ^ [_171664, _171666, _171668, _171670] : [-(cartesian_product2(_171670, _171666) = cartesian_product2(_171668, _171664)), _171670 = _171668, _171666 = _171664], (749 ^ _161260) ^ [_185817, _185819] : [-(relation_of2(747 ^ [_185817, _185819], _185819, _185817))], (803 ^ _161260) ^ [_187555, _187557] : [empty(cartesian_product2(_187557, _187555)), -(empty(_187557)), -(empty(_187555))], (933 ^ _161260) ^ [_191578, _191580, _191582] : [relation_of2(_191578, _191582, _191580), -(relation_of2_as_subset(_191578, _191582, _191580))], (294 ^ _161260) ^ [_170817, _170819, _170821, _170823, _170825, _170827] : [-(apply_netmap(_170827, _170823, _170819) = apply_netmap(_170825, _170821, _170817)), _170827 = _170825, _170823 = _170821, _170819 = _170817], (687 ^ _161260) ^ [_183947] : [one_sorted_str(_183947), 690 ^ _161260 : [(691 ^ _161260) ^ [_184077] : [net_str(_184077, _183947), -(rel_str(_184077))]]], (48 ^ _161260) ^ [_162912, _162914] : [-(rel_str(_162912)), _162914 = _162912, rel_str(_162914)], (392 ^ _161260) ^ [_174296] : [rel_str(_174296), empty_carrier(_174296), -(v1_yellow_3(_174296))], (58 ^ _161260) ^ [_163207, _163209] : [-(one_to_one(_163207)), _163209 = _163207, one_to_one(_163209)], (842 ^ _161260) ^ [] : [-(empty(838 ^ []))], (68 ^ _161260) ^ [_163502, _163504] : [-(relation(_163502)), _163504 = _163502, relation(_163504)], (852 ^ _161260) ^ [_189096] : [-(element(850 ^ [_189096], powerset(_189096)))], (368 ^ _161260) ^ [_173489, _173491] : [in(_173491, _173489), in(_173489, _173491)], (979 ^ _161260) ^ [_193154, _193156, _193158] : [in(_193158, _193156), element(_193156, powerset(_193154)), empty(_193154)], (963 ^ _161260) ^ [_192597, _192599] : [subset(_192599, _192597), -(element(_192599, powerset(_192597)))], (4 ^ _161260) ^ [_161491, _161493] : [_161493 = _161491, -(_161491 = _161493)], (830 ^ _161260) ^ [_188354] : [-(empty(_188354)), 834 ^ _161260 : [(837 ^ _161260) ^ [] : [empty(833 ^ [_188354])], (835 ^ _161260) ^ [] : [-(element(833 ^ [_188354], powerset(_188354)))]]], (721 ^ _161260) ^ [_184891, _184893] : [728 ^ _161260 : [(731 ^ _161260) ^ [] : [-(quasi_total(the_mapping(_184893, _184891), the_carrier(_184891), the_carrier(_184893)))], (733 ^ _161260) ^ [] : [-(relation_of2_as_subset(the_mapping(_184893, _184891), the_carrier(_184891), the_carrier(_184893)))], (729 ^ _161260) ^ [] : [-(function(the_mapping(_184893, _184891)))]], one_sorted_str(_184893), net_str(_184891, _184893)], (526 ^ _161260) ^ [_179153] : [-(empty_carrier(_179153)), rel_str(_179153), 533 ^ _161260 : [(553 ^ _161260) ^ [] : [-(directed_relstr(_179153)), 555 ^ _161260 : [(559 ^ _161260) ^ [] : [-(element(557 ^ [_179153], the_carrier(_179153)))], (561 ^ _161260) ^ [_180470] : [element(_180470, the_carrier(_179153)), related(_179153, 554 ^ [_179153], _180470), related(_179153, 557 ^ [_179153], _180470)], (556 ^ _161260) ^ [] : [-(element(554 ^ [_179153], the_carrier(_179153)))]]], (534 ^ _161260) ^ [] : [directed_relstr(_179153), 537 ^ _161260 : [(538 ^ _161260) ^ [_179514] : [element(_179514, the_carrier(_179153)), 541 ^ _161260 : [(542 ^ _161260) ^ [_179680] : [element(_179680, the_carrier(_179153)), 546 ^ _161260 : [(549 ^ _161260) ^ [] : [-(related(_179153, _179514, 545 ^ [_179153, _179514, _179680]))], (551 ^ _161260) ^ [] : [-(related(_179153, _179680, 545 ^ [_179153, _179514, _179680]))], (547 ^ _161260) ^ [] : [-(element(545 ^ [_179153, _179514, _179680], the_carrier(_179153)))]]]]]]]]], (869 ^ _161260) ^ [] : [-(one_sorted_str(867 ^ []))], (866 ^ _161260) ^ [] : [-(relation_empty_yielding(862 ^ []))], (30 ^ _161260) ^ [_162359, _162361, _162363, _162365, _162367, _162369] : [-(related(_162367, _162363, _162359)), related(_162369, _162365, _162361), _162369 = _162367, _162365 = _162363, _162361 = _162359], (709 ^ _161260) ^ [_184544, _184546, _184548] : [relation_of2_as_subset(_184544, _184548, _184546), -(element(_184544, powerset(cartesian_product2(_184548, _184546))))], (861 ^ _161260) ^ [] : [-(one_to_one(855 ^ []))], (224 ^ _161260) ^ [_168431, _168433] : [-(transitive_relstr(_168431)), _168433 = _168431, transitive_relstr(_168433)], (763 ^ _161260) ^ [_186363, _186365] : [778 ^ _161260 : [(779 ^ _161260) ^ [] : [empty(the_mapping(_186365, _186363))], (781 ^ _161260) ^ [] : [-(relation(the_mapping(_186365, _186363)))], (785 ^ _161260) ^ [] : [-(quasi_total(the_mapping(_186365, _186363), the_carrier(_186363), the_carrier(_186365)))], (783 ^ _161260) ^ [] : [-(function(the_mapping(_186365, _186363)))]], -(empty_carrier(_186365)), one_sorted_str(_186365), -(empty_carrier(_186363)), net_str(_186363, _186365)], (715 ^ _161260) ^ [] : [true___, -(true___)], (844 ^ _161260) ^ [] : [-(function(838 ^ []))], (878 ^ _161260) ^ [] : [-(function(872 ^ []))], (801 ^ _161260) ^ [] : [-(relation(empty_set))], (10 ^ _161260) ^ [_161695, _161697, _161699] : [-(_161699 = _161695), _161699 = _161697, _161697 = _161695], (849 ^ _161260) ^ [] : [-(relation(845 ^ []))], (752 ^ _161260) ^ [_185944] : [-(element(750 ^ [_185944], _185944))], (947 ^ _161260) ^ [_192104, _192106] : [element(_192106, _192104), -(empty(_192104)), -(in(_192106, _192104))]], input).
% 225.18/217.64  ncf('1',plain,[is_often_in(1010 ^ [], 1015 ^ [], 1024 ^ [])],start(1028 ^ 0)).
% 225.18/217.64  ncf('1.1',plain,[-(is_often_in(1010 ^ [], 1015 ^ [], 1024 ^ [])), 512 : -(element(510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], the_carrier(1015 ^ []))), 509 : -(empty_carrier(1015 ^ [])), 509 : net_str(1015 ^ [], 1010 ^ []), 486 : -(empty_carrier(1010 ^ [])), 486 : one_sorted_str(1010 ^ [])],extension(478 ^ 1,bind([[_177242, _177515, _178454], [1010 ^ [], 1015 ^ [], 1024 ^ []]]))).
% 225.18/217.64  ncf('1.1.1',plain,[element(510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], the_carrier(1015 ^ [])), 551 : -(related(1015 ^ [], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]])), 542 : element(449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], the_carrier(1015 ^ [])), 538 : directed_relstr(1015 ^ []), 534 : -(empty_carrier(1015 ^ [])), 534 : rel_str(1015 ^ [])],extension(526 ^ 8,bind([[_179153, _179514, _179680], [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]]]))).
% 225.18/217.64  ncf('1.1.1.1',plain,[related(1015 ^ [], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]]), element(545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]], the_carrier(1015 ^ [])), in(apply_netmap(1010 ^ [], 1015 ^ [], 545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]]), 1024 ^ [])],extension(514 ^ 17,bind([[_178739], [545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]]]]))).
% 225.18/217.64  ncf('1.1.1.1.1',plain,[-(element(545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]], the_carrier(1015 ^ [])))],extension(547 ^ 18)).
% 225.18/217.64  ncf('1.1.1.1.2',plain,[-(in(apply_netmap(1010 ^ [], 1015 ^ [], 545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]]), 1024 ^ [])), 453 : element(545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]], the_carrier(1015 ^ [])), 453 : related(1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]]), 453 : is_eventually_in(1010 ^ [], 1015 ^ [], 1024 ^ []), 446 : -(empty_carrier(1015 ^ [])), 446 : net_str(1015 ^ [], 1010 ^ []), 438 : -(empty_carrier(1010 ^ [])), 438 : one_sorted_str(1010 ^ [])],extension(430 ^ 18,bind([[_175331, _175604, _175900, _176233], [1010 ^ [], 1015 ^ [], 1024 ^ [], 545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]]]]))).
% 225.18/217.64  ncf('1.1.1.1.2.1',plain,[-(element(545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]], the_carrier(1015 ^ [])))],lemmata('[1, 1, 1].x')).
% 225.18/217.64  ncf('1.1.1.1.2.2',plain,[-(related(1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 545 ^ [1015 ^ [], 449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], 510 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []]]))],extension(549 ^ 25)).
% 225.18/217.64  ncf('1.1.1.1.2.3',plain,[-(is_eventually_in(1010 ^ [], 1015 ^ [], 1024 ^ []))],extension(1026 ^ 23)).
% 225.18/217.64  ncf('1.1.1.1.2.4',plain,[empty_carrier(1015 ^ [])],extension(1017 ^ 21)).
% 225.18/217.64  ncf('1.1.1.1.2.5',plain,[-(net_str(1015 ^ [], 1010 ^ []))],extension(1023 ^ 21)).
% 225.18/217.64  ncf('1.1.1.1.2.6',plain,[empty_carrier(1010 ^ [])],extension(1012 ^ 19)).
% 225.18/217.64  ncf('1.1.1.1.2.7',plain,[-(one_sorted_str(1010 ^ []))],extension(1014 ^ 19)).
% 225.18/217.64  ncf('1.1.1.2',plain,[-(element(449 ^ [1010 ^ [], 1015 ^ [], 1024 ^ []], the_carrier(1015 ^ []))), 446 : is_eventually_in(1010 ^ [], 1015 ^ [], 1024 ^ []), 446 : -(empty_carrier(1015 ^ [])), 446 : net_str(1015 ^ [], 1010 ^ []), 438 : -(empty_carrier(1010 ^ [])), 438 : one_sorted_str(1010 ^ [])],extension(430 ^ 13,bind([[_175331, _175604, _175900], [1010 ^ [], 1015 ^ [], 1024 ^ []]]))).
% 225.18/217.64  ncf('1.1.1.2.1',plain,[-(is_eventually_in(1010 ^ [], 1015 ^ [], 1024 ^ []))],extension(1026 ^ 18)).
% 225.18/217.64  ncf('1.1.1.2.2',plain,[empty_carrier(1015 ^ [])],extension(1017 ^ 16)).
% 225.18/217.64  ncf('1.1.1.2.3',plain,[-(net_str(1015 ^ [], 1010 ^ []))],extension(1023 ^ 16)).
% 225.18/217.64  ncf('1.1.1.2.4',plain,[empty_carrier(1010 ^ [])],extension(1012 ^ 14)).
% 225.18/217.64  ncf('1.1.1.2.5',plain,[-(one_sorted_str(1010 ^ []))],extension(1014 ^ 14)).
% 225.18/217.64  ncf('1.1.1.3',plain,[-(directed_relstr(1015 ^ []))],extension(1021 ^ 11)).
% 225.18/217.64  ncf('1.1.1.4',plain,[empty_carrier(1015 ^ [])],extension(1017 ^ 9)).
% 225.18/217.64  ncf('1.1.1.5',plain,[-(rel_str(1015 ^ [])), 691 : net_str(1015 ^ [], 1010 ^ []), 691 : one_sorted_str(1010 ^ [])],extension(687 ^ 9,bind([[_183947, _184077], [1010 ^ [], 1015 ^ []]]))).
% 225.18/217.64  ncf('1.1.1.5.1',plain,[-(net_str(1015 ^ [], 1010 ^ []))],extension(1023 ^ 12)).
% 225.18/217.64  ncf('1.1.1.5.2',plain,[-(one_sorted_str(1010 ^ []))],extension(1014 ^ 10)).
% 225.18/217.64  ncf('1.1.2',plain,[empty_carrier(1015 ^ [])],extension(1017 ^ 4)).
% 225.18/217.64  ncf('1.1.3',plain,[-(net_str(1015 ^ [], 1010 ^ []))],extension(1023 ^ 4)).
% 225.18/217.64  ncf('1.1.4',plain,[empty_carrier(1010 ^ [])],extension(1012 ^ 2)).
% 225.18/217.64  ncf('1.1.5',plain,[-(one_sorted_str(1010 ^ []))],extension(1014 ^ 2)).
% 225.18/217.64  %-----------------------------------------------------
% 225.18/217.64  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------