TSTP Solution File: SEU362+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 12:03:17 EDT 2023
% Result : Theorem 1.08s 1.39s
% Output : Proof 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 12:03:30 EDT 2023
% 0.13/0.34 % CPUTime :
% 1.08/1.39
% 1.08/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.08/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.39 %-----------------------------------------------------
% 1.08/1.39 ncf(matrix, plain, [(524 ^ _84583) ^ [] : [-(rel_str(522 ^ []))], (527 ^ _84583) ^ [] : [-(subrelstr(525 ^ [], 522 ^ []))], (530 ^ _84583) ^ [] : [-(element(528 ^ [], the_carrier(522 ^ [])))], (533 ^ _84583) ^ [] : [-(element(531 ^ [], the_carrier(522 ^ [])))], (536 ^ _84583) ^ [] : [-(element(534 ^ [], the_carrier(525 ^ [])))], (539 ^ _84583) ^ [] : [-(element(537 ^ [], the_carrier(525 ^ [])))], (541 ^ _84583) ^ [] : [-(534 ^ [] = 528 ^ [])], (543 ^ _84583) ^ [] : [-(537 ^ [] = 531 ^ [])], (545 ^ _84583) ^ [] : [-(related(525 ^ [], 534 ^ [], 537 ^ []))], (547 ^ _84583) ^ [] : [related(522 ^ [], 528 ^ [], 531 ^ [])], (180 ^ _84583) ^ [_90465, _90467, _90469, _90471] : [-(ordered_pair(_90471, _90467) = ordered_pair(_90469, _90465)), _90471 = _90469, _90467 = _90465], (190 ^ _84583) ^ [_90796, _90798] : [_90798 = _90796, -(the_InternalRel(_90798) = the_InternalRel(_90796))], (196 ^ _84583) ^ [_91042, _91044, _91046, _91048] : [-(cartesian_product2(_91048, _91044) = cartesian_product2(_91046, _91042)), _91048 = _91046, _91044 = _91042], (206 ^ _84583) ^ [_91373, _91375] : [_91375 = _91373, -(powerset(_91375) = powerset(_91373))], (212 ^ _84583) ^ [_91571, _91573] : [_91573 = _91571, -(the_carrier(_91573) = the_carrier(_91571))], (2 ^ _84583) ^ [_84727] : [-(_84727 = _84727)], (4 ^ _84583) ^ [_84834, _84836] : [_84836 = _84834, -(_84834 = _84836)], (10 ^ _84583) ^ [_85038, _85040, _85042] : [-(_85042 = _85038), _85042 = _85040, _85040 = _85038], (20 ^ _84583) ^ [_85351, _85353] : [-(relation(_85351)), _85353 = _85351, relation(_85353)], (30 ^ _84583) ^ [_85646, _85648] : [-(one_sorted_str(_85646)), _85648 = _85646, one_sorted_str(_85648)], (40 ^ _84583) ^ [_85941, _85943] : [-(finite(_85941)), _85943 = _85941, finite(_85943)], (50 ^ _84583) ^ [_86292, _86294, _86296, _86298, _86300, _86302] : [-(relation_of2_as_subset(_86300, _86296, _86292)), relation_of2_as_subset(_86302, _86298, _86294), _86302 = _86300, _86298 = _86296, _86294 = _86292], (68 ^ _84583) ^ [_86901, _86903, _86905, _86907, _86909, _86911] : [-(relation_of2(_86909, _86905, _86901)), relation_of2(_86911, _86907, _86903), _86911 = _86909, _86907 = _86905, _86903 = _86901], (86 ^ _84583) ^ [_87482, _87484, _87486, _87488] : [-(subset(_87486, _87482)), subset(_87488, _87484), _87488 = _87486, _87484 = _87482], (100 ^ _84583) ^ [_87926, _87928, _87930, _87932] : [-(in(_87930, _87926)), in(_87932, _87928), _87932 = _87930, _87928 = _87926], (114 ^ _84583) ^ [_88342, _88344] : [-(empty(_88342)), _88344 = _88342, empty(_88344)], (124 ^ _84583) ^ [_88637, _88639] : [-(rel_str(_88637)), _88639 = _88637, rel_str(_88639)], (134 ^ _84583) ^ [_88960, _88962, _88964, _88966] : [-(subrelstr(_88964, _88960)), subrelstr(_88966, _88962), _88966 = _88964, _88962 = _88960], (148 ^ _84583) ^ [_89404, _89406, _89408, _89410] : [-(element(_89408, _89404)), element(_89410, _89406), _89410 = _89408, _89406 = _89404], (162 ^ _84583) ^ [_89856, _89858, _89860, _89862, _89864, _89866] : [-(related(_89864, _89860, _89856)), related(_89866, _89862, _89858), _89866 = _89864, _89862 = _89860, _89858 = _89856], (218 ^ _84583) ^ [_91839, _91841] : [in(_91841, _91839), in(_91839, _91841)], (224 ^ _84583) ^ [_92036] : [empty(_92036), -(finite(_92036))], (230 ^ _84583) ^ [_92250, _92252, _92254] : [element(_92250, powerset(cartesian_product2(_92254, _92252))), -(relation(_92250))], (236 ^ _84583) ^ [_92460] : [finite(_92460), 239 ^ _84583 : [(240 ^ _84583) ^ [_92592] : [element(_92592, powerset(_92460)), -(finite(_92592))]]], (246 ^ _84583) ^ [_92797] : [rel_str(_92797), 249 ^ _84583 : [(250 ^ _84583) ^ [_92947] : [rel_str(_92947), 253 ^ _84583 : [(254 ^ _84583) ^ [] : [subrelstr(_92947, _92797), 257 ^ _84583 : [(258 ^ _84583) ^ [] : [-(subset(the_carrier(_92947), the_carrier(_92797)))], (260 ^ _84583) ^ [] : [-(subset(the_InternalRel(_92947), the_InternalRel(_92797)))]]], (262 ^ _84583) ^ [] : [-(subrelstr(_92947, _92797)), subset(the_carrier(_92947), the_carrier(_92797)), subset(the_InternalRel(_92947), the_InternalRel(_92797))]]]]], (272 ^ _84583) ^ [_93580] : [rel_str(_93580), 275 ^ _84583 : [(276 ^ _84583) ^ [_93738] : [element(_93738, the_carrier(_93580)), 279 ^ _84583 : [(280 ^ _84583) ^ [_93895] : [element(_93895, the_carrier(_93580)), 283 ^ _84583 : [(284 ^ _84583) ^ [] : [related(_93580, _93738, _93895), -(in(ordered_pair(_93738, _93895), the_InternalRel(_93580)))], (290 ^ _84583) ^ [] : [in(ordered_pair(_93738, _93895), the_InternalRel(_93580)), -(related(_93580, _93738, _93895))]]]]]]], (296 ^ _84583) ^ [] : [true___, -(true___)], (302 ^ _84583) ^ [] : [true___, -(true___)], (308 ^ _84583) ^ [] : [true___, -(true___)], (314 ^ _84583) ^ [] : [true___, -(true___)], (320 ^ _84583) ^ [_94869] : [rel_str(_94869), -(one_sorted_str(_94869))], (326 ^ _84583) ^ [] : [true___, -(true___)], (332 ^ _84583) ^ [] : [true___, -(true___)], (338 ^ _84583) ^ [] : [true___, -(true___)], (344 ^ _84583) ^ [_95412] : [rel_str(_95412), 347 ^ _84583 : [(348 ^ _84583) ^ [_95542] : [subrelstr(_95542, _95412), -(rel_str(_95542))]]], (354 ^ _84583) ^ [_95771, _95773, _95775] : [relation_of2_as_subset(_95771, _95775, _95773), -(element(_95771, powerset(cartesian_product2(_95775, _95773))))], (360 ^ _84583) ^ [_95985] : [rel_str(_95985), -(relation_of2_as_subset(the_InternalRel(_95985), the_carrier(_95985), the_carrier(_95985)))], (366 ^ _84583) ^ [] : [true___, -(true___)], (373 ^ _84583) ^ [] : [-(rel_str(371 ^ []))], (376 ^ _84583) ^ [] : [-(one_sorted_str(374 ^ []))], (379 ^ _84583) ^ [_96525, _96527] : [-(relation_of2(377 ^ [_96525, _96527], _96527, _96525))], (382 ^ _84583) ^ [_96652] : [-(element(380 ^ [_96652], _96652))], (384 ^ _84583) ^ [_96750] : [rel_str(_96750), -(subrelstr(387 ^ [_96750], _96750))], (392 ^ _84583) ^ [_97030, _97032] : [-(relation_of2_as_subset(390 ^ [_97030, _97032], _97032, _97030))], (394 ^ _84583) ^ [_97147, _97149] : [-(finite(cartesian_product2(_97149, _97147))), finite(_97149), finite(_97147)], (404 ^ _84583) ^ [] : [-(empty(empty_set))], (407 ^ _84583) ^ [] : [empty(405 ^ [])], (409 ^ _84583) ^ [] : [-(finite(405 ^ []))], (412 ^ _84583) ^ [] : [-(empty(410 ^ []))], (415 ^ _84583) ^ [] : [empty(413 ^ [])], (417 ^ _84583) ^ [_97814] : [-(empty(_97814)), 421 ^ _84583 : [(422 ^ _84583) ^ [] : [-(element(420 ^ [_97814], powerset(_97814)))], (424 ^ _84583) ^ [] : [empty(420 ^ [_97814])], (426 ^ _84583) ^ [] : [-(finite(420 ^ [_97814]))]]], (428 ^ _84583) ^ [_98226] : [-(empty(_98226)), 432 ^ _84583 : [(433 ^ _84583) ^ [] : [-(element(431 ^ [_98226], powerset(_98226)))], (435 ^ _84583) ^ [] : [empty(431 ^ [_98226])], (437 ^ _84583) ^ [] : [-(finite(431 ^ [_98226]))]]], (439 ^ _84583) ^ [_98695, _98697, _98699] : [relation_of2_as_subset(_98695, _98699, _98697), -(relation_of2(_98695, _98699, _98697))], (445 ^ _84583) ^ [_98867, _98869, _98871] : [relation_of2(_98867, _98871, _98869), -(relation_of2_as_subset(_98867, _98871, _98869))], (451 ^ _84583) ^ [_99074, _99076] : [-(subset(_99076, _99076))], (453 ^ _84583) ^ [_99183, _99185] : [in(_99185, _99183), -(element(_99185, _99183))], (459 ^ _84583) ^ [_99393, _99395] : [element(_99395, _99393), -(empty(_99393)), -(in(_99395, _99393))], (469 ^ _84583) ^ [_99720, _99722] : [element(_99722, powerset(_99720)), -(subset(_99722, _99720))], (475 ^ _84583) ^ [_99886, _99888] : [subset(_99888, _99886), -(element(_99888, powerset(_99886)))], (481 ^ _84583) ^ [_100116, _100118, _100120] : [-(element(_100120, _100116)), in(_100120, _100118), element(_100118, powerset(_100116))], (491 ^ _84583) ^ [_100443, _100445, _100447] : [in(_100447, _100445), element(_100445, powerset(_100443)), empty(_100443)], (501 ^ _84583) ^ [_100739] : [empty(_100739), -(_100739 = empty_set)], (507 ^ _84583) ^ [_100941, _100943] : [in(_100943, _100941), empty(_100941)], (513 ^ _84583) ^ [_101128, _101130] : [empty(_101130), -(_101130 = _101128), empty(_101128)]], input).
% 1.08/1.39 ncf('1',plain,[related(522 ^ [], 528 ^ [], 531 ^ [])],start(547 ^ 0)).
% 1.08/1.39 ncf('1.1',plain,[-(related(522 ^ [], 528 ^ [], 531 ^ [])), 290 : in(ordered_pair(528 ^ [], 531 ^ []), the_InternalRel(522 ^ [])), 290 : element(531 ^ [], the_carrier(522 ^ [])), 280 : element(528 ^ [], the_carrier(522 ^ [])), 276 : rel_str(522 ^ [])],extension(272 ^ 1,bind([[_93580, _93738, _93895], [522 ^ [], 528 ^ [], 531 ^ []]]))).
% 1.08/1.39 ncf('1.1.1',plain,[-(in(ordered_pair(528 ^ [], 531 ^ []), the_InternalRel(522 ^ []))), element(ordered_pair(528 ^ [], 531 ^ []), the_InternalRel(522 ^ [])), -(empty(the_InternalRel(522 ^ [])))],extension(459 ^ 8,bind([[_99393, _99395], [the_InternalRel(522 ^ []), ordered_pair(528 ^ [], 531 ^ [])]]))).
% 1.08/1.39 ncf('1.1.1.1',plain,[-(element(ordered_pair(528 ^ [], 531 ^ []), the_InternalRel(522 ^ []))), in(ordered_pair(528 ^ [], 531 ^ []), the_InternalRel(525 ^ [])), element(the_InternalRel(525 ^ []), powerset(the_InternalRel(522 ^ [])))],extension(481 ^ 9,bind([[_100116, _100118, _100120], [the_InternalRel(522 ^ []), the_InternalRel(525 ^ []), ordered_pair(528 ^ [], 531 ^ [])]]))).
% 1.08/1.39 ncf('1.1.1.1.1',plain,[-(in(ordered_pair(528 ^ [], 531 ^ []), the_InternalRel(525 ^ []))), in(ordered_pair(534 ^ [], 537 ^ []), the_InternalRel(525 ^ [])), ordered_pair(534 ^ [], 537 ^ []) = ordered_pair(528 ^ [], 531 ^ []), the_InternalRel(525 ^ []) = the_InternalRel(525 ^ [])],extension(100 ^ 10,bind([[_87926, _87928, _87930, _87932], [the_InternalRel(525 ^ []), the_InternalRel(525 ^ []), ordered_pair(528 ^ [], 531 ^ []), ordered_pair(534 ^ [], 537 ^ [])]]))).
% 1.08/1.39 ncf('1.1.1.1.1.1',plain,[-(in(ordered_pair(534 ^ [], 537 ^ []), the_InternalRel(525 ^ []))), 284 : related(525 ^ [], 534 ^ [], 537 ^ []), 284 : element(537 ^ [], the_carrier(525 ^ [])), 280 : element(534 ^ [], the_carrier(525 ^ [])), 276 : rel_str(525 ^ [])],extension(272 ^ 11,bind([[_93580, _93738, _93895], [525 ^ [], 534 ^ [], 537 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.1.1.1.1',plain,[-(related(525 ^ [], 534 ^ [], 537 ^ []))],extension(545 ^ 18)).
% 1.08/1.39 ncf('1.1.1.1.1.1.2',plain,[-(element(537 ^ [], the_carrier(525 ^ [])))],extension(539 ^ 16)).
% 1.08/1.39 ncf('1.1.1.1.1.1.3',plain,[-(element(534 ^ [], the_carrier(525 ^ [])))],extension(536 ^ 14)).
% 1.08/1.39 ncf('1.1.1.1.1.1.4',plain,[-(rel_str(525 ^ [])), 348 : subrelstr(525 ^ [], 522 ^ []), 348 : rel_str(522 ^ [])],extension(344 ^ 12,bind([[_95412, _95542], [522 ^ [], 525 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.1.1.1.4.1',plain,[-(subrelstr(525 ^ [], 522 ^ []))],extension(527 ^ 15)).
% 1.08/1.39 ncf('1.1.1.1.1.1.4.2',plain,[-(rel_str(522 ^ []))],extension(524 ^ 13)).
% 1.08/1.39 ncf('1.1.1.1.1.2',plain,[-(ordered_pair(534 ^ [], 537 ^ []) = ordered_pair(528 ^ [], 531 ^ [])), 534 ^ [] = 528 ^ [], 537 ^ [] = 531 ^ []],extension(180 ^ 11,bind([[_90465, _90467, _90469, _90471], [531 ^ [], 537 ^ [], 528 ^ [], 534 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.1.1.2.1',plain,[-(534 ^ [] = 528 ^ [])],extension(541 ^ 12)).
% 1.08/1.39 ncf('1.1.1.1.1.2.2',plain,[-(537 ^ [] = 531 ^ [])],extension(543 ^ 12)).
% 1.08/1.39 ncf('1.1.1.1.1.3',plain,[-(the_InternalRel(525 ^ []) = the_InternalRel(525 ^ [])), 525 ^ [] = 525 ^ []],extension(190 ^ 11,bind([[_90796, _90798], [525 ^ [], 525 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.1.1.3.1',plain,[-(525 ^ [] = 525 ^ [])],extension(2 ^ 12,bind([[_84727], [525 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.1.2',plain,[-(element(the_InternalRel(525 ^ []), powerset(the_InternalRel(522 ^ [])))), subset(the_InternalRel(525 ^ []), the_InternalRel(522 ^ []))],extension(475 ^ 10,bind([[_99886, _99888], [the_InternalRel(522 ^ []), the_InternalRel(525 ^ [])]]))).
% 1.08/1.39 ncf('1.1.1.1.2.1',plain,[-(subset(the_InternalRel(525 ^ []), the_InternalRel(522 ^ []))), 254 : subrelstr(525 ^ [], 522 ^ []), 254 : rel_str(525 ^ []), 250 : rel_str(522 ^ [])],extension(246 ^ 11,bind([[_92797, _92947], [522 ^ [], 525 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.1.2.1.1',plain,[-(subrelstr(525 ^ [], 522 ^ []))],extension(527 ^ 16)).
% 1.08/1.39 ncf('1.1.1.1.2.1.2',plain,[-(rel_str(525 ^ [])), 348 : subrelstr(525 ^ [], 522 ^ []), 348 : rel_str(522 ^ [])],extension(344 ^ 14,bind([[_95412, _95542], [522 ^ [], 525 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.1.2.1.2.1',plain,[-(subrelstr(525 ^ [], 522 ^ []))],extension(527 ^ 17)).
% 1.08/1.39 ncf('1.1.1.1.2.1.2.2',plain,[-(rel_str(522 ^ []))],extension(524 ^ 15)).
% 1.08/1.39 ncf('1.1.1.1.2.1.3',plain,[-(rel_str(522 ^ []))],extension(524 ^ 12)).
% 1.08/1.39 ncf('1.1.1.2',plain,[empty(the_InternalRel(522 ^ [])), in(ordered_pair(528 ^ [], 531 ^ []), the_InternalRel(525 ^ [])), element(the_InternalRel(525 ^ []), powerset(the_InternalRel(522 ^ [])))],extension(491 ^ 9,bind([[_100443, _100445, _100447], [the_InternalRel(522 ^ []), the_InternalRel(525 ^ []), ordered_pair(528 ^ [], 531 ^ [])]]))).
% 1.08/1.39 ncf('1.1.1.2.1',plain,[-(in(ordered_pair(528 ^ [], 531 ^ []), the_InternalRel(525 ^ []))), in(ordered_pair(534 ^ [], 537 ^ []), the_InternalRel(525 ^ [])), ordered_pair(534 ^ [], 537 ^ []) = ordered_pair(528 ^ [], 531 ^ []), the_InternalRel(525 ^ []) = the_InternalRel(525 ^ [])],extension(100 ^ 10,bind([[_87926, _87928, _87930, _87932], [the_InternalRel(525 ^ []), the_InternalRel(525 ^ []), ordered_pair(528 ^ [], 531 ^ []), ordered_pair(534 ^ [], 537 ^ [])]]))).
% 1.08/1.39 ncf('1.1.1.2.1.1',plain,[-(in(ordered_pair(534 ^ [], 537 ^ []), the_InternalRel(525 ^ []))), 284 : related(525 ^ [], 534 ^ [], 537 ^ []), 284 : element(537 ^ [], the_carrier(525 ^ [])), 280 : element(534 ^ [], the_carrier(525 ^ [])), 276 : rel_str(525 ^ [])],extension(272 ^ 11,bind([[_93580, _93738, _93895], [525 ^ [], 534 ^ [], 537 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.2.1.1.1',plain,[-(related(525 ^ [], 534 ^ [], 537 ^ []))],extension(545 ^ 18)).
% 1.08/1.39 ncf('1.1.1.2.1.1.2',plain,[-(element(537 ^ [], the_carrier(525 ^ [])))],extension(539 ^ 16)).
% 1.08/1.39 ncf('1.1.1.2.1.1.3',plain,[-(element(534 ^ [], the_carrier(525 ^ [])))],extension(536 ^ 14)).
% 1.08/1.39 ncf('1.1.1.2.1.1.4',plain,[-(rel_str(525 ^ [])), 348 : subrelstr(525 ^ [], 522 ^ []), 348 : rel_str(522 ^ [])],extension(344 ^ 12,bind([[_95412, _95542], [522 ^ [], 525 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.2.1.1.4.1',plain,[-(subrelstr(525 ^ [], 522 ^ []))],extension(527 ^ 15)).
% 1.08/1.39 ncf('1.1.1.2.1.1.4.2',plain,[-(rel_str(522 ^ []))],extension(524 ^ 13)).
% 1.08/1.39 ncf('1.1.1.2.1.2',plain,[-(ordered_pair(534 ^ [], 537 ^ []) = ordered_pair(528 ^ [], 531 ^ [])), 534 ^ [] = 528 ^ [], 537 ^ [] = 531 ^ []],extension(180 ^ 11,bind([[_90465, _90467, _90469, _90471], [531 ^ [], 537 ^ [], 528 ^ [], 534 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.2.1.2.1',plain,[-(534 ^ [] = 528 ^ [])],extension(541 ^ 12)).
% 1.08/1.39 ncf('1.1.1.2.1.2.2',plain,[-(537 ^ [] = 531 ^ [])],extension(543 ^ 12)).
% 1.08/1.39 ncf('1.1.1.2.1.3',plain,[-(the_InternalRel(525 ^ []) = the_InternalRel(525 ^ [])), 525 ^ [] = 525 ^ []],extension(190 ^ 11,bind([[_90796, _90798], [525 ^ [], 525 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.2.1.3.1',plain,[-(525 ^ [] = 525 ^ [])],extension(2 ^ 12,bind([[_84727], [525 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.2.2',plain,[-(element(the_InternalRel(525 ^ []), powerset(the_InternalRel(522 ^ [])))), subset(the_InternalRel(525 ^ []), the_InternalRel(522 ^ []))],extension(475 ^ 10,bind([[_99886, _99888], [the_InternalRel(522 ^ []), the_InternalRel(525 ^ [])]]))).
% 1.08/1.39 ncf('1.1.1.2.2.1',plain,[-(subset(the_InternalRel(525 ^ []), the_InternalRel(522 ^ []))), 254 : subrelstr(525 ^ [], 522 ^ []), 254 : rel_str(525 ^ []), 250 : rel_str(522 ^ [])],extension(246 ^ 11,bind([[_92797, _92947], [522 ^ [], 525 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.2.2.1.1',plain,[-(subrelstr(525 ^ [], 522 ^ []))],extension(527 ^ 16)).
% 1.08/1.39 ncf('1.1.1.2.2.1.2',plain,[-(rel_str(525 ^ [])), 348 : subrelstr(525 ^ [], 522 ^ []), 348 : rel_str(522 ^ [])],extension(344 ^ 14,bind([[_95412, _95542], [522 ^ [], 525 ^ []]]))).
% 1.08/1.39 ncf('1.1.1.2.2.1.2.1',plain,[-(subrelstr(525 ^ [], 522 ^ []))],extension(527 ^ 17)).
% 1.08/1.39 ncf('1.1.1.2.2.1.2.2',plain,[-(rel_str(522 ^ []))],extension(524 ^ 15)).
% 1.08/1.39 ncf('1.1.1.2.2.1.3',plain,[-(rel_str(522 ^ []))],extension(524 ^ 12)).
% 1.08/1.39 ncf('1.1.2',plain,[-(element(531 ^ [], the_carrier(522 ^ [])))],extension(533 ^ 6)).
% 1.08/1.39 ncf('1.1.3',plain,[-(element(528 ^ [], the_carrier(522 ^ [])))],extension(530 ^ 4)).
% 1.08/1.39 ncf('1.1.4',plain,[-(rel_str(522 ^ []))],extension(524 ^ 2)).
% 1.08/1.39 %-----------------------------------------------------
% 1.08/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------