%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU383+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 12:03:21 EDT 2023

% Result   : Theorem 7.77s 8.61s
% Output   : Proof 7.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU383+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n005.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 13:31:53 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 7.77/8.61  
% 7.77/8.61  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 7.77/8.61  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.77/8.61  %-----------------------------------------------------
% 7.77/8.61  ncf(matrix, plain, [(647 ^ _95498) ^ [] : [empty_carrier(645 ^ [])], (649 ^ _95498) ^ [] : [-(reflexive_relstr(645 ^ []))], (651 ^ _95498) ^ [] : [-(transitive_relstr(645 ^ []))], (653 ^ _95498) ^ [] : [-(antisymmetric_relstr(645 ^ []))], (655 ^ _95498) ^ [] : [-(lower_bounded_relstr(645 ^ []))], (657 ^ _95498) ^ [] : [-(rel_str(645 ^ []))], (660 ^ _95498) ^ [] : [empty(658 ^ [])], (662 ^ _95498) ^ [] : [-(filtered_subset(658 ^ [], 645 ^ []))], (664 ^ _95498) ^ [] : [-(upper_relstr_subset(658 ^ [], 645 ^ []))], (666 ^ _95498) ^ [] : [-(element(658 ^ [], powerset(the_carrier(645 ^ []))))], (668 ^ _95498) ^ [] : [669 ^ _95498 : [(670 ^ _95498) ^ [] : [-(proper_element(658 ^ [], powerset(the_carrier(645 ^ []))))], (672 ^ _95498) ^ [] : [-(in(bottom_of_relstr(645 ^ []), 658 ^ []))]], 673 ^ _95498 : [(674 ^ _95498) ^ [] : [in(bottom_of_relstr(645 ^ []), 658 ^ [])], (676 ^ _95498) ^ [] : [proper_element(658 ^ [], powerset(the_carrier(645 ^ [])))]]], (222 ^ _95498) ^ [_102567, _102569, _102571, _102573] : [-(join_on_relstr(_102573, _102569) = join_on_relstr(_102571, _102567)), _102573 = _102571, _102569 = _102567], (232 ^ _95498) ^ [_102898, _102900] : [_102900 = _102898, -(powerset(_102900) = powerset(_102898))], (238 ^ _95498) ^ [_103116, _103118] : [_103118 = _103116, -(the_carrier(_103118) = the_carrier(_103116))], (244 ^ _95498) ^ [_103314, _103316] : [_103316 = _103314, -(bottom_of_relstr(_103316) = bottom_of_relstr(_103314))], (2 ^ _95498) ^ [_95642] : [-(_95642 = _95642)], (4 ^ _95498) ^ [_95749, _95751] : [_95751 = _95749, -(_95749 = _95751)], (10 ^ _95498) ^ [_95953, _95955, _95957] : [-(_95957 = _95953), _95957 = _95955, _95955 = _95953], (20 ^ _95498) ^ [_96266, _96268] : [-(v1_yellow_3(_96266)), _96268 = _96266, v1_yellow_3(_96268)], (30 ^ _95498) ^ [_96561, _96563] : [-(finite(_96561)), _96563 = _96561, finite(_96563)], (40 ^ _95498) ^ [_96856, _96858] : [-(one_sorted_str(_96856)), _96858 = _96856, one_sorted_str(_96858)], (50 ^ _95498) ^ [_97179, _97181, _97183, _97185] : [-(subset(_97183, _97179)), subset(_97185, _97181), _97185 = _97183, _97181 = _97179], (64 ^ _95498) ^ [_97651, _97653, _97655, _97657, _97659, _97661] : [-(related(_97659, _97655, _97651)), related(_97661, _97657, _97653), _97661 = _97659, _97657 = _97655, _97653 = _97651], (82 ^ _95498) ^ [_98204, _98206] : [-(empty_carrier(_98204)), _98206 = _98204, empty_carrier(_98206)], (92 ^ _95498) ^ [_98499, _98501] : [-(reflexive_relstr(_98499)), _98501 = _98499, reflexive_relstr(_98501)], (102 ^ _95498) ^ [_98794, _98796] : [-(transitive_relstr(_98794)), _98796 = _98794, transitive_relstr(_98796)], (112 ^ _95498) ^ [_99089, _99091] : [-(antisymmetric_relstr(_99089)), _99091 = _99089, antisymmetric_relstr(_99091)], (122 ^ _95498) ^ [_99384, _99386] : [-(lower_bounded_relstr(_99384)), _99386 = _99384, lower_bounded_relstr(_99386)], (132 ^ _95498) ^ [_99679, _99681] : [-(rel_str(_99679)), _99681 = _99679, rel_str(_99681)], (142 ^ _95498) ^ [_99974, _99976] : [-(empty(_99974)), _99976 = _99974, empty(_99976)], (152 ^ _95498) ^ [_100297, _100299, _100301, _100303] : [-(filtered_subset(_100301, _100297)), filtered_subset(_100303, _100299), _100303 = _100301, _100299 = _100297], (166 ^ _95498) ^ [_100741, _100743, _100745, _100747] : [-(upper_relstr_subset(_100745, _100741)), upper_relstr_subset(_100747, _100743), _100747 = _100745, _100743 = _100741], (180 ^ _95498) ^ [_101185, _101187, _101189, _101191] : [-(element(_101189, _101185)), element(_101191, _101187), _101191 = _101189, _101187 = _101185], (194 ^ _95498) ^ [_101629, _101631, _101633, _101635] : [-(proper_element(_101633, _101629)), proper_element(_101635, _101631), _101635 = _101633, _101631 = _101629], (208 ^ _95498) ^ [_102053, _102055, _102057, _102059] : [-(in(_102057, _102053)), in(_102059, _102055), _102059 = _102057, _102055 = _102053], (250 ^ _95498) ^ [_103550, _103552] : [in(_103552, _103550), in(_103550, _103552)], (256 ^ _95498) ^ [_103747] : [empty(_103747), -(finite(_103747))], (262 ^ _95498) ^ [_103933] : [rel_str(_103933), empty_carrier(_103933), -(v1_yellow_3(_103933))], (272 ^ _95498) ^ [_104202] : [finite(_104202), 275 ^ _95498 : [(276 ^ _95498) ^ [_104334] : [element(_104334, powerset(_104202)), -(finite(_104334))]]], (282 ^ _95498) ^ [_104539] : [rel_str(_104539), -(v1_yellow_3(_104539)), empty_carrier(_104539)], (292 ^ _95498) ^ [_104812] : [rel_str(_104812), 303 ^ _95498 : [(304 ^ _95498) ^ [] : [empty_carrier(_104812)], (306 ^ _95498) ^ [] : [v1_yellow_3(_104812)]], -(empty_carrier(_104812)), reflexive_relstr(_104812)], (308 ^ _95498) ^ [_105240] : [rel_str(_105240), -(bottom_of_relstr(_105240) = join_on_relstr(_105240, empty_set))], (314 ^ _95498) ^ [_105438] : [rel_str(_105438), 317 ^ _95498 : [(318 ^ _95498) ^ [_105618] : [element(_105618, powerset(the_carrier(_105438))), 321 ^ _95498 : [(344 ^ _95498) ^ [] : [346 ^ _95498 : [(347 ^ _95498) ^ [] : [-(element(345 ^ [_105438, _105618], the_carrier(_105438)))], (350 ^ _95498) ^ [] : [-(element(348 ^ [_105438, _105618], the_carrier(_105438)))], (352 ^ _95498) ^ [] : [-(in(345 ^ [_105438, _105618], _105618))], (354 ^ _95498) ^ [] : [-(related(_105438, 345 ^ [_105438, _105618], 348 ^ [_105438, _105618]))], (356 ^ _95498) ^ [] : [in(348 ^ [_105438, _105618], _105618)]], -(upper_relstr_subset(_105618, _105438))], (322 ^ _95498) ^ [] : [upper_relstr_subset(_105618, _105438), 325 ^ _95498 : [(326 ^ _95498) ^ [_105907] : [element(_105907, the_carrier(_105438)), 329 ^ _95498 : [(330 ^ _95498) ^ [_106071] : [element(_106071, the_carrier(_105438)), -(in(_106071, _105618)), in(_105907, _105618), related(_105438, _105907, _106071)]]]]]]]]], (360 ^ _95498) ^ [] : [true___, -(true___)], (366 ^ _95498) ^ [_107250, _107252] : [rel_str(_107252), -(element(join_on_relstr(_107252, _107250), the_carrier(_107252)))], (372 ^ _95498) ^ [] : [true___, -(true___)], (378 ^ _95498) ^ [_107573] : [rel_str(_107573), -(element(bottom_of_relstr(_107573), the_carrier(_107573)))], (384 ^ _95498) ^ [_107769] : [rel_str(_107769), -(one_sorted_str(_107769))], (390 ^ _95498) ^ [] : [true___, -(true___)], (396 ^ _95498) ^ [] : [true___, -(true___)], (402 ^ _95498) ^ [] : [true___, -(true___)], (409 ^ _95498) ^ [] : [-(rel_str(407 ^ []))], (412 ^ _95498) ^ [] : [-(one_sorted_str(410 ^ []))], (415 ^ _95498) ^ [_108514] : [-(element(413 ^ [_108514], _108514))], (417 ^ _95498) ^ [_108612] : [empty(the_carrier(_108612)), -(empty_carrier(_108612)), one_sorted_str(_108612)], (427 ^ _95498) ^ [_108873] : [empty(powerset(_108873))], (429 ^ _95498) ^ [] : [-(empty(empty_set))], (431 ^ _95498) ^ [_109020] : [447 ^ _95498 : [(448 ^ _95498) ^ [] : [-(element(446 ^ [_109020], powerset(the_carrier(_109020))))], (450 ^ _95498) ^ [] : [empty(446 ^ [_109020])], (452 ^ _95498) ^ [] : [-(filtered_subset(446 ^ [_109020], _109020))], (454 ^ _95498) ^ [] : [-(upper_relstr_subset(446 ^ [_109020], _109020))]], -(empty_carrier(_109020)), reflexive_relstr(_109020), transitive_relstr(_109020), rel_str(_109020)], (457 ^ _95498) ^ [] : [empty(455 ^ [])], (459 ^ _95498) ^ [] : [-(finite(455 ^ []))], (461 ^ _95498) ^ [_109923] : [-(empty(_109923)), 465 ^ _95498 : [(466 ^ _95498) ^ [] : [-(element(464 ^ [_109923], powerset(_109923)))], (468 ^ _95498) ^ [] : [empty(464 ^ [_109923])]]], (471 ^ _95498) ^ [] : [-(empty(469 ^ []))], (474 ^ _95498) ^ [_110395] : [-(element(472 ^ [_110395], powerset(_110395)))], (476 ^ _95498) ^ [_110446] : [-(empty(472 ^ [_110446]))], (479 ^ _95498) ^ [] : [empty(477 ^ [])], (481 ^ _95498) ^ [_110635] : [-(empty(_110635)), 485 ^ _95498 : [(486 ^ _95498) ^ [] : [-(element(484 ^ [_110635], powerset(_110635)))], (488 ^ _95498) ^ [] : [empty(484 ^ [_110635])], (490 ^ _95498) ^ [] : [-(finite(484 ^ [_110635]))]]], (493 ^ _95498) ^ [] : [-(one_sorted_str(491 ^ []))], (495 ^ _95498) ^ [] : [empty_carrier(491 ^ [])], (497 ^ _95498) ^ [_111197] : [-(empty(_111197)), 501 ^ _95498 : [(502 ^ _95498) ^ [] : [-(element(500 ^ [_111197], powerset(_111197)))], (504 ^ _95498) ^ [] : [empty(500 ^ [_111197])], (506 ^ _95498) ^ [] : [-(finite(500 ^ [_111197]))]]], (508 ^ _95498) ^ [_111609] : [516 ^ _95498 : [(517 ^ _95498) ^ [] : [-(element(515 ^ [_111609], powerset(the_carrier(_111609))))], (519 ^ _95498) ^ [] : [empty(515 ^ [_111609])]], -(empty_carrier(_111609)), one_sorted_str(_111609)], (521 ^ _95498) ^ [_112029, _112031] : [-(subset(_112031, _112031))], (523 ^ _95498) ^ [_112138, _112140] : [in(_112140, _112138), -(element(_112140, _112138))], (529 ^ _95498) ^ [_112348, _112350] : [element(_112350, _112348), -(empty(_112348)), -(in(_112350, _112348))], (539 ^ _95498) ^ [_112646, _112648] : [-(_112648 = _112646), 543 ^ _95498 : [(544 ^ _95498) ^ [] : [-(in(540 ^ [_112646, _112648], _112648))], (546 ^ _95498) ^ [] : [in(540 ^ [_112646, _112648], _112646)]], 547 ^ _95498 : [(548 ^ _95498) ^ [] : [-(in(540 ^ [_112646, _112648], _112646))], (550 ^ _95498) ^ [] : [in(540 ^ [_112646, _112648], _112648)]]], (554 ^ _95498) ^ [_113205, _113207] : [element(_113207, powerset(_113205)), -(subset(_113207, _113205))], (560 ^ _95498) ^ [_113371, _113373] : [subset(_113373, _113371), -(element(_113373, powerset(_113371)))], (566 ^ _95498) ^ [_113573] : [581 ^ _95498 : [(582 ^ _95498) ^ [_113961] : [element(_113961, the_carrier(_113573)), -(related(_113573, bottom_of_relstr(_113573), _113961))]], -(empty_carrier(_113573)), antisymmetric_relstr(_113573), lower_bounded_relstr(_113573), rel_str(_113573)], (588 ^ _95498) ^ [_114202, _114204, _114206] : [-(element(_114206, _114202)), in(_114206, _114204), element(_114204, powerset(_114202))], (598 ^ _95498) ^ [_114529, _114531, _114533] : [in(_114533, _114531), element(_114531, powerset(_114529)), empty(_114529)], (608 ^ _95498) ^ [_114839, _114841] : [element(_114839, powerset(_114841)), 611 ^ _95498 : [(612 ^ _95498) ^ [] : [proper_element(_114839, powerset(_114841)), _114839 = _114841], (618 ^ _95498) ^ [] : [-(_114839 = _114841), -(proper_element(_114839, powerset(_114841)))]]], (624 ^ _95498) ^ [_115297] : [empty(_115297), -(_115297 = empty_set)], (630 ^ _95498) ^ [_115499, _115501] : [in(_115501, _115499), empty(_115499)], (636 ^ _95498) ^ [_115686, _115688] : [empty(_115688), -(_115688 = _115686), empty(_115686)]], input).
% 7.77/8.61  ncf('1',plain,[element(658 ^ [], powerset(the_carrier(645 ^ []))), 612 : proper_element(658 ^ [], powerset(the_carrier(645 ^ []))), 612 : 658 ^ [] = the_carrier(645 ^ [])],start(608 ^ 0,bind([[_114839, _114841], [658 ^ [], the_carrier(645 ^ [])]]))).
% 7.77/8.61  ncf('1.1',plain,[-(element(658 ^ [], powerset(the_carrier(645 ^ []))))],extension(666 ^ 1)).
% 7.77/8.61  ncf('1.2',plain,[-(proper_element(658 ^ [], powerset(the_carrier(645 ^ [])))), -(658 ^ [] = the_carrier(645 ^ []))],extension(618 ^ 3)).
% 7.77/8.61  ncf('1.2.1',plain,[658 ^ [] = the_carrier(645 ^ []), -(the_carrier(645 ^ []) = 658 ^ [])],extension(4 ^ 4,bind([[_95749, _95751], [the_carrier(645 ^ []), 658 ^ []]]))).
% 7.77/8.61  ncf('1.2.1.1',plain,[the_carrier(645 ^ []) = 658 ^ [], -(element(bottom_of_relstr(645 ^ []), 658 ^ [])), element(join_on_relstr(645 ^ [], empty_set), the_carrier(645 ^ [])), join_on_relstr(645 ^ [], empty_set) = bottom_of_relstr(645 ^ [])],extension(180 ^ 5,bind([[_101185, _101187, _101189, _101191], [658 ^ [], the_carrier(645 ^ []), bottom_of_relstr(645 ^ []), join_on_relstr(645 ^ [], empty_set)]]))).
% 7.77/8.61  ncf('1.2.1.1.1',plain,[element(bottom_of_relstr(645 ^ []), 658 ^ []), -(element(bottom_of_relstr(645 ^ []), 658 ^ [])), bottom_of_relstr(645 ^ []) = bottom_of_relstr(645 ^ []), 658 ^ [] = 658 ^ []],extension(180 ^ 6,bind([[_101185, _101187, _101189, _101191], [658 ^ [], 658 ^ [], bottom_of_relstr(645 ^ []), bottom_of_relstr(645 ^ [])]]))).
% 7.77/8.61  ncf('1.2.1.1.1.1',plain,[element(bottom_of_relstr(645 ^ []), 658 ^ []), -(empty(658 ^ [])), -(in(bottom_of_relstr(645 ^ []), 658 ^ []))],extension(529 ^ 7,bind([[_112348, _112350], [658 ^ [], bottom_of_relstr(645 ^ [])]]))).
% 7.77/8.61  ncf('1.2.1.1.1.1.1',plain,[empty(658 ^ [])],extension(660 ^ 8)).
% 7.77/8.61  ncf('1.2.1.1.1.1.2',plain,[in(bottom_of_relstr(645 ^ []), 658 ^ []), 670 : -(proper_element(658 ^ [], powerset(the_carrier(645 ^ []))))],extension(668 ^ 8)).
% 7.77/8.61  ncf('1.2.1.1.1.1.2.1',plain,[proper_element(658 ^ [], powerset(the_carrier(645 ^ [])))],reduction('1')).
% 7.77/8.61  ncf('1.2.1.1.1.2',plain,[-(bottom_of_relstr(645 ^ []) = bottom_of_relstr(645 ^ []))],extension(2 ^ 7,bind([[_95642], [bottom_of_relstr(645 ^ [])]]))).
% 7.77/8.61  ncf('1.2.1.1.1.3',plain,[-(658 ^ [] = 658 ^ [])],extension(2 ^ 7,bind([[_95642], [658 ^ []]]))).
% 7.77/8.61  ncf('1.2.1.1.2',plain,[-(element(join_on_relstr(645 ^ [], empty_set), the_carrier(645 ^ []))), rel_str(645 ^ [])],extension(366 ^ 6,bind([[_107250, _107252], [empty_set, 645 ^ []]]))).
% 7.77/8.61  ncf('1.2.1.1.2.1',plain,[-(rel_str(645 ^ []))],extension(657 ^ 7)).
% 7.77/8.61  ncf('1.2.1.1.3',plain,[-(join_on_relstr(645 ^ [], empty_set) = bottom_of_relstr(645 ^ [])), bottom_of_relstr(645 ^ []) = join_on_relstr(645 ^ [], empty_set)],extension(4 ^ 6,bind([[_95749, _95751], [join_on_relstr(645 ^ [], empty_set), bottom_of_relstr(645 ^ [])]]))).
% 7.77/8.61  ncf('1.2.1.1.3.1',plain,[-(bottom_of_relstr(645 ^ []) = join_on_relstr(645 ^ [], empty_set)), rel_str(645 ^ [])],extension(308 ^ 7,bind([[_105240], [645 ^ []]]))).
% 7.77/8.61  ncf('1.2.1.1.3.1.1',plain,[-(rel_str(645 ^ []))],extension(657 ^ 8)).
% 7.77/8.61  ncf('1.3',plain,[-(658 ^ [] = the_carrier(645 ^ [])), the_carrier(645 ^ []) = 658 ^ []],extension(4 ^ 3,bind([[_95749, _95751], [658 ^ [], the_carrier(645 ^ [])]]))).
% 7.77/8.61  ncf('1.3.1',plain,[-(the_carrier(645 ^ []) = 658 ^ []), 546 : in(540 ^ [658 ^ [], the_carrier(645 ^ [])], 658 ^ []), 550 : in(540 ^ [658 ^ [], the_carrier(645 ^ [])], the_carrier(645 ^ []))],extension(539 ^ 4,bind([[_112646, _112648], [658 ^ [], the_carrier(645 ^ [])]]))).
% 7.77/8.61  ncf('1.3.1.1',plain,[-(in(540 ^ [658 ^ [], the_carrier(645 ^ [])], 658 ^ [])), 330 : element(540 ^ [658 ^ [], the_carrier(645 ^ [])], the_carrier(645 ^ [])), 330 : in(bottom_of_relstr(645 ^ []), 658 ^ []), 330 : related(645 ^ [], bottom_of_relstr(645 ^ []), 540 ^ [658 ^ [], the_carrier(645 ^ [])]), 330 : element(bottom_of_relstr(645 ^ []), the_carrier(645 ^ [])), 326 : upper_relstr_subset(658 ^ [], 645 ^ []), 322 : element(658 ^ [], powerset(the_carrier(645 ^ []))), 318 : rel_str(645 ^ [])],extension(314 ^ 7,bind([[_105438, _105618, _105907, _106071], [645 ^ [], 658 ^ [], bottom_of_relstr(645 ^ []), 540 ^ [658 ^ [], the_carrier(645 ^ [])]]]))).
% 7.77/8.61  ncf('1.3.1.1.1',plain,[-(element(540 ^ [658 ^ [], the_carrier(645 ^ [])], the_carrier(645 ^ []))), in(540 ^ [658 ^ [], the_carrier(645 ^ [])], the_carrier(645 ^ []))],extension(523 ^ 16,bind([[_112138, _112140], [the_carrier(645 ^ []), 540 ^ [658 ^ [], the_carrier(645 ^ [])]]]))).
% 7.77/8.61  ncf('1.3.1.1.1.1',plain,[-(in(540 ^ [658 ^ [], the_carrier(645 ^ [])], the_carrier(645 ^ [])))],extension(544 ^ 17)).
% 7.77/8.61  ncf('1.3.1.1.2',plain,[-(in(bottom_of_relstr(645 ^ []), 658 ^ [])), 676 : proper_element(658 ^ [], powerset(the_carrier(645 ^ [])))],extension(668 ^ 16)).
% 7.77/8.61  ncf('1.3.1.1.2.1',plain,[-(proper_element(658 ^ [], powerset(the_carrier(645 ^ []))))],lemmata('x')).
% 7.77/8.61  ncf('1.3.1.1.3',plain,[-(related(645 ^ [], bottom_of_relstr(645 ^ []), 540 ^ [658 ^ [], the_carrier(645 ^ [])])), 582 : element(540 ^ [658 ^ [], the_carrier(645 ^ [])], the_carrier(645 ^ [])), 582 : -(empty_carrier(645 ^ [])), 582 : antisymmetric_relstr(645 ^ []), 582 : lower_bounded_relstr(645 ^ []), 582 : rel_str(645 ^ [])],extension(566 ^ 16,bind([[_113573, _113961], [645 ^ [], 540 ^ [658 ^ [], the_carrier(645 ^ [])]]]))).
% 7.77/8.61  ncf('1.3.1.1.3.1',plain,[-(element(540 ^ [658 ^ [], the_carrier(645 ^ [])], the_carrier(645 ^ [])))],lemmata('[1, 3, 1].x')).
% 7.77/8.61  ncf('1.3.1.1.3.2',plain,[empty_carrier(645 ^ [])],extension(647 ^ 17)).
% 7.77/8.61  ncf('1.3.1.1.3.3',plain,[-(antisymmetric_relstr(645 ^ []))],extension(653 ^ 17)).
% 7.77/8.61  ncf('1.3.1.1.3.4',plain,[-(lower_bounded_relstr(645 ^ []))],extension(655 ^ 17)).
% 7.77/8.61  ncf('1.3.1.1.3.5',plain,[-(rel_str(645 ^ []))],extension(657 ^ 17)).
% 7.77/8.61  ncf('1.3.1.1.4',plain,[-(element(bottom_of_relstr(645 ^ []), the_carrier(645 ^ []))), rel_str(645 ^ [])],extension(378 ^ 14,bind([[_107573], [645 ^ []]]))).
% 7.77/8.61  ncf('1.3.1.1.4.1',plain,[-(rel_str(645 ^ []))],extension(657 ^ 15)).
% 7.77/8.61  ncf('1.3.1.1.5',plain,[-(upper_relstr_subset(658 ^ [], 645 ^ []))],extension(664 ^ 12)).
% 7.77/8.61  ncf('1.3.1.1.6',plain,[-(element(658 ^ [], powerset(the_carrier(645 ^ []))))],lemmata('x')).
% 7.77/8.61  ncf('1.3.1.1.7',plain,[-(rel_str(645 ^ []))],extension(657 ^ 8)).
% 7.77/8.61  ncf('1.3.1.2',plain,[-(in(540 ^ [658 ^ [], the_carrier(645 ^ [])], the_carrier(645 ^ []))), element(540 ^ [658 ^ [], the_carrier(645 ^ [])], the_carrier(645 ^ [])), -(empty(the_carrier(645 ^ [])))],extension(529 ^ 7,bind([[_112348, _112350], [the_carrier(645 ^ []), 540 ^ [658 ^ [], the_carrier(645 ^ [])]]]))).
% 7.77/8.61  ncf('1.3.1.2.1',plain,[-(element(540 ^ [658 ^ [], the_carrier(645 ^ [])], the_carrier(645 ^ []))), in(540 ^ [658 ^ [], the_carrier(645 ^ [])], 658 ^ []), element(658 ^ [], powerset(the_carrier(645 ^ [])))],extension(588 ^ 8,bind([[_114202, _114204, _114206], [the_carrier(645 ^ []), 658 ^ [], 540 ^ [658 ^ [], the_carrier(645 ^ [])]]]))).
% 7.77/8.61  ncf('1.3.1.2.1.1',plain,[-(in(540 ^ [658 ^ [], the_carrier(645 ^ [])], 658 ^ []))],extension(548 ^ 9)).
% 7.77/8.61  ncf('1.3.1.2.1.2',plain,[-(element(658 ^ [], powerset(the_carrier(645 ^ []))))],lemmata('x')).
% 7.77/8.61  ncf('1.3.1.2.2',plain,[empty(the_carrier(645 ^ [])), -(empty_carrier(645 ^ [])), one_sorted_str(645 ^ [])],extension(417 ^ 8,bind([[_108612], [645 ^ []]]))).
% 7.77/8.61  ncf('1.3.1.2.2.1',plain,[empty_carrier(645 ^ [])],extension(647 ^ 9)).
% 7.77/8.61  ncf('1.3.1.2.2.2',plain,[-(one_sorted_str(645 ^ [])), rel_str(645 ^ [])],extension(384 ^ 9,bind([[_107769], [645 ^ []]]))).
% 7.77/8.61  ncf('1.3.1.2.2.2.1',plain,[-(rel_str(645 ^ []))],extension(657 ^ 10)).
% 7.77/8.61  %-----------------------------------------------------
% 7.77/8.61  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------