TSTP Solution File: SEU339+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU339+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 12:03:12 EDT 2023
% Result : Theorem 5.13s 5.51s
% Output : Proof 5.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU339+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n028.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 13:40:03 EDT 2023
% 0.12/0.33 % CPUTime :
% 5.13/5.51
% 5.13/5.51 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 5.13/5.51 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.13/5.51 %-----------------------------------------------------
% 5.13/5.51 ncf(matrix, plain, [(566 ^ _101838) ^ [] : [-(antisymmetric_relstr(564 ^ []))], (568 ^ _101838) ^ [] : [-(rel_str(564 ^ []))], (571 ^ _101838) ^ [] : [-(element(569 ^ [], the_carrier(564 ^ [])))], (574 ^ _101838) ^ [] : [-(element(572 ^ [], the_carrier(564 ^ [])))], (576 ^ _101838) ^ [] : [-(related(564 ^ [], 569 ^ [], 572 ^ []))], (578 ^ _101838) ^ [] : [-(related(564 ^ [], 572 ^ [], 569 ^ []))], (580 ^ _101838) ^ [] : [569 ^ [] = 572 ^ []], (180 ^ _101838) ^ [_107692, _107694] : [_107694 = _107692, -(the_InternalRel(_107694) = the_InternalRel(_107692))], (186 ^ _101838) ^ [_107910, _107912] : [_107912 = _107910, -(singleton(_107912) = singleton(_107910))], (192 ^ _101838) ^ [_108156, _108158, _108160, _108162] : [-(unordered_pair(_108162, _108158) = unordered_pair(_108160, _108156)), _108162 = _108160, _108158 = _108156], (202 ^ _101838) ^ [_108515, _108517, _108519, _108521] : [-(ordered_pair(_108521, _108517) = ordered_pair(_108519, _108515)), _108521 = _108519, _108517 = _108515], (212 ^ _101838) ^ [_108874, _108876, _108878, _108880] : [-(cartesian_product2(_108880, _108876) = cartesian_product2(_108878, _108874)), _108880 = _108878, _108876 = _108874], (222 ^ _101838) ^ [_109205, _109207] : [_109207 = _109205, -(powerset(_109207) = powerset(_109205))], (228 ^ _101838) ^ [_109403, _109405] : [_109405 = _109403, -(the_carrier(_109405) = the_carrier(_109403))], (2 ^ _101838) ^ [_101982] : [-(_101982 = _101982)], (4 ^ _101838) ^ [_102089, _102091] : [_102091 = _102089, -(_102089 = _102091)], (10 ^ _101838) ^ [_102293, _102295, _102297] : [-(_102297 = _102293), _102297 = _102295, _102295 = _102293], (20 ^ _101838) ^ [_102606, _102608] : [-(relation(_102606)), _102608 = _102606, relation(_102608)], (30 ^ _101838) ^ [_102929, _102931, _102933, _102935] : [-(is_antisymmetric_in(_102933, _102929)), is_antisymmetric_in(_102935, _102931), _102935 = _102933, _102931 = _102929], (44 ^ _101838) ^ [_103345, _103347] : [-(one_sorted_str(_103345)), _103347 = _103345, one_sorted_str(_103347)], (54 ^ _101838) ^ [_103696, _103698, _103700, _103702, _103704, _103706] : [-(relation_of2_as_subset(_103704, _103700, _103696)), relation_of2_as_subset(_103706, _103702, _103698), _103706 = _103704, _103702 = _103700, _103698 = _103696], (72 ^ _101838) ^ [_104305, _104307, _104309, _104311, _104313, _104315] : [-(relation_of2(_104313, _104309, _104305)), relation_of2(_104315, _104311, _104307), _104315 = _104313, _104311 = _104309, _104307 = _104305], (90 ^ _101838) ^ [_104886, _104888, _104890, _104892] : [-(subset(_104890, _104886)), subset(_104892, _104888), _104892 = _104890, _104888 = _104886], (104 ^ _101838) ^ [_105330, _105332, _105334, _105336] : [-(in(_105334, _105330)), in(_105336, _105332), _105336 = _105334, _105332 = _105330], (118 ^ _101838) ^ [_105746, _105748] : [-(empty(_105746)), _105748 = _105746, empty(_105748)], (128 ^ _101838) ^ [_106041, _106043] : [-(antisymmetric_relstr(_106041)), _106043 = _106041, antisymmetric_relstr(_106043)], (138 ^ _101838) ^ [_106336, _106338] : [-(rel_str(_106336)), _106338 = _106336, rel_str(_106338)], (148 ^ _101838) ^ [_106659, _106661, _106663, _106665] : [-(element(_106663, _106659)), element(_106665, _106661), _106665 = _106663, _106661 = _106659], (162 ^ _101838) ^ [_107111, _107113, _107115, _107117, _107119, _107121] : [-(related(_107119, _107115, _107111)), related(_107121, _107117, _107113), _107121 = _107119, _107117 = _107115, _107113 = _107111], (234 ^ _101838) ^ [_109679, _109681] : [in(_109681, _109679), in(_109679, _109681)], (240 ^ _101838) ^ [_109904, _109906, _109908] : [element(_109904, powerset(cartesian_product2(_109908, _109906))), -(relation(_109904))], (246 ^ _101838) ^ [_110113, _110115] : [-(unordered_pair(_110115, _110113) = unordered_pair(_110113, _110115))], (248 ^ _101838) ^ [_110214] : [relation(_110214), 251 ^ _101838 : [(274 ^ _101838) ^ [_111082] : [277 ^ _101838 : [(278 ^ _101838) ^ [] : [-(in(275 ^ [_110214, _111082], _111082))], (280 ^ _101838) ^ [] : [-(in(276 ^ [_110214, _111082], _111082))], (282 ^ _101838) ^ [] : [-(in(ordered_pair(275 ^ [_110214, _111082], 276 ^ [_110214, _111082]), _110214))], (284 ^ _101838) ^ [] : [-(in(ordered_pair(276 ^ [_110214, _111082], 275 ^ [_110214, _111082]), _110214))], (286 ^ _101838) ^ [] : [275 ^ [_110214, _111082] = 276 ^ [_110214, _111082]]], -(is_antisymmetric_in(_110214, _111082))], (252 ^ _101838) ^ [_110414] : [is_antisymmetric_in(_110214, _110414), 255 ^ _101838 : [(256 ^ _101838) ^ [_110596, _110598] : [-(_110598 = _110596), in(_110598, _110414), in(_110596, _110414), in(ordered_pair(_110598, _110596), _110214), in(ordered_pair(_110596, _110598), _110214)]]]]], (290 ^ _101838) ^ [_111850, _111852] : [-(ordered_pair(_111852, _111850) = unordered_pair(unordered_pair(_111852, _111850), singleton(_111852)))], (292 ^ _101838) ^ [_111956] : [rel_str(_111956), 295 ^ _101838 : [(296 ^ _101838) ^ [] : [antisymmetric_relstr(_111956), -(is_antisymmetric_in(the_InternalRel(_111956), the_carrier(_111956)))], (302 ^ _101838) ^ [] : [is_antisymmetric_in(the_InternalRel(_111956), the_carrier(_111956)), -(antisymmetric_relstr(_111956))]]], (308 ^ _101838) ^ [_112393] : [rel_str(_112393), 311 ^ _101838 : [(312 ^ _101838) ^ [_112551] : [element(_112551, the_carrier(_112393)), 315 ^ _101838 : [(316 ^ _101838) ^ [_112708] : [element(_112708, the_carrier(_112393)), 319 ^ _101838 : [(320 ^ _101838) ^ [] : [related(_112393, _112551, _112708), -(in(ordered_pair(_112551, _112708), the_InternalRel(_112393)))], (326 ^ _101838) ^ [] : [in(ordered_pair(_112551, _112708), the_InternalRel(_112393)), -(related(_112393, _112551, _112708))]]]]]]], (332 ^ _101838) ^ [] : [true___, -(true___)], (338 ^ _101838) ^ [] : [true___, -(true___)], (344 ^ _101838) ^ [] : [true___, -(true___)], (350 ^ _101838) ^ [] : [true___, -(true___)], (356 ^ _101838) ^ [] : [true___, -(true___)], (362 ^ _101838) ^ [] : [true___, -(true___)], (368 ^ _101838) ^ [_113920] : [rel_str(_113920), -(one_sorted_str(_113920))], (374 ^ _101838) ^ [] : [true___, -(true___)], (380 ^ _101838) ^ [] : [true___, -(true___)], (386 ^ _101838) ^ [] : [true___, -(true___)], (392 ^ _101838) ^ [_114491, _114493, _114495] : [relation_of2_as_subset(_114491, _114495, _114493), -(element(_114491, powerset(cartesian_product2(_114495, _114493))))], (398 ^ _101838) ^ [_114705] : [rel_str(_114705), -(relation_of2_as_subset(the_InternalRel(_114705), the_carrier(_114705), the_carrier(_114705)))], (404 ^ _101838) ^ [] : [true___, -(true___)], (411 ^ _101838) ^ [] : [-(rel_str(409 ^ []))], (414 ^ _101838) ^ [] : [-(one_sorted_str(412 ^ []))], (417 ^ _101838) ^ [_115245, _115247] : [-(relation_of2(415 ^ [_115245, _115247], _115247, _115245))], (420 ^ _101838) ^ [_115372] : [-(element(418 ^ [_115372], _115372))], (423 ^ _101838) ^ [_115511, _115513] : [-(relation_of2_as_subset(421 ^ [_115511, _115513], _115513, _115511))], (425 ^ _101838) ^ [_115598] : [empty(powerset(_115598))], (427 ^ _101838) ^ [] : [-(empty(empty_set))], (429 ^ _101838) ^ [_115729] : [empty(singleton(_115729))], (431 ^ _101838) ^ [_115821, _115823] : [empty(unordered_pair(_115823, _115821))], (433 ^ _101838) ^ [_115932, _115934] : [empty(cartesian_product2(_115934, _115932)), -(empty(_115934)), -(empty(_115932))], (443 ^ _101838) ^ [_116224] : [-(empty(_116224)), 447 ^ _101838 : [(448 ^ _101838) ^ [] : [-(element(446 ^ [_116224], powerset(_116224)))], (450 ^ _101838) ^ [] : [empty(446 ^ [_116224])]]], (453 ^ _101838) ^ [] : [-(empty(451 ^ []))], (456 ^ _101838) ^ [_116696] : [-(element(454 ^ [_116696], powerset(_116696)))], (458 ^ _101838) ^ [_116747] : [-(empty(454 ^ [_116747]))], (461 ^ _101838) ^ [] : [empty(459 ^ [])], (463 ^ _101838) ^ [_116993, _116995, _116997] : [relation_of2_as_subset(_116993, _116997, _116995), -(relation_of2(_116993, _116997, _116995))], (469 ^ _101838) ^ [_117165, _117167, _117169] : [relation_of2(_117165, _117169, _117167), -(relation_of2_as_subset(_117165, _117169, _117167))], (475 ^ _101838) ^ [_117372, _117374] : [-(subset(_117374, _117374))], (477 ^ _101838) ^ [_117538, _117540, _117542, _117544] : [in(ordered_pair(_117544, _117542), cartesian_product2(_117540, _117538)), 480 ^ _101838 : [(481 ^ _101838) ^ [] : [-(in(_117544, _117540))], (483 ^ _101838) ^ [] : [-(in(_117542, _117538))]]], (485 ^ _101838) ^ [_117803, _117805, _117807, _117809] : [-(in(ordered_pair(_117809, _117807), cartesian_product2(_117805, _117803))), in(_117809, _117805), in(_117807, _117803)], (495 ^ _101838) ^ [_118136, _118138] : [in(_118138, _118136), -(element(_118138, _118136))], (501 ^ _101838) ^ [_118346, _118348] : [element(_118348, _118346), -(empty(_118346)), -(in(_118348, _118346))], (511 ^ _101838) ^ [_118673, _118675] : [element(_118675, powerset(_118673)), -(subset(_118675, _118673))], (517 ^ _101838) ^ [_118839, _118841] : [subset(_118841, _118839), -(element(_118841, powerset(_118839)))], (523 ^ _101838) ^ [_119069, _119071, _119073] : [-(element(_119073, _119069)), in(_119073, _119071), element(_119071, powerset(_119069))], (533 ^ _101838) ^ [_119396, _119398, _119400] : [in(_119400, _119398), element(_119398, powerset(_119396)), empty(_119396)], (543 ^ _101838) ^ [_119692] : [empty(_119692), -(_119692 = empty_set)], (549 ^ _101838) ^ [_119894, _119896] : [in(_119896, _119894), empty(_119894)], (555 ^ _101838) ^ [_120081, _120083] : [empty(_120083), -(_120083 = _120081), empty(_120081)]], input).
% 5.13/5.51 ncf('1',plain,[569 ^ [] = 572 ^ []],start(580 ^ 0)).
% 5.13/5.51 ncf('1.1',plain,[-(569 ^ [] = 572 ^ []), 256 : in(569 ^ [], the_carrier(564 ^ [])), 256 : in(572 ^ [], the_carrier(564 ^ [])), 256 : in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), 256 : in(ordered_pair(572 ^ [], 569 ^ []), the_InternalRel(564 ^ [])), 256 : is_antisymmetric_in(the_InternalRel(564 ^ []), the_carrier(564 ^ [])), 252 : relation(the_InternalRel(564 ^ []))],extension(248 ^ 1,bind([[_110214, _110414, _110596, _110598], [the_InternalRel(564 ^ []), the_carrier(564 ^ []), 572 ^ [], 569 ^ []]]))).
% 5.13/5.51 ncf('1.1.1',plain,[-(in(569 ^ [], the_carrier(564 ^ []))), in(ordered_pair(569 ^ [], 572 ^ []), cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])))],extension(477 ^ 6,bind([[_117538, _117540, _117542, _117544], [the_carrier(564 ^ []), the_carrier(564 ^ []), 572 ^ [], 569 ^ []]]))).
% 5.13/5.51 ncf('1.1.1.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])))), element(ordered_pair(569 ^ [], 572 ^ []), cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))), -(empty(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))],extension(501 ^ 7,bind([[_118346, _118348], [cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.1',plain,[-(element(ordered_pair(569 ^ [], 572 ^ []), cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])))), in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), element(the_InternalRel(564 ^ []), powerset(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))],extension(523 ^ 8,bind([[_119069, _119071, _119073], [cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])), the_InternalRel(564 ^ []), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.1.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])],extension(104 ^ 9,bind([[_105330, _105332, _105334, _105336], [the_InternalRel(564 ^ []), the_InternalRel(564 ^ []), ordered_pair(569 ^ [], 572 ^ []), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.1.1.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), 320 : related(564 ^ [], 569 ^ [], 572 ^ []), 320 : element(572 ^ [], the_carrier(564 ^ [])), 316 : element(569 ^ [], the_carrier(564 ^ [])), 312 : rel_str(564 ^ [])],extension(308 ^ 10,bind([[_112393, _112551, _112708], [564 ^ [], 569 ^ [], 572 ^ []]]))).
% 5.13/5.51 ncf('1.1.1.1.1.1.1.1',plain,[-(related(564 ^ [], 569 ^ [], 572 ^ []))],extension(576 ^ 17)).
% 5.13/5.51 ncf('1.1.1.1.1.1.1.2',plain,[-(element(572 ^ [], the_carrier(564 ^ [])))],extension(574 ^ 15)).
% 5.13/5.51 ncf('1.1.1.1.1.1.1.3',plain,[-(element(569 ^ [], the_carrier(564 ^ [])))],extension(571 ^ 13)).
% 5.13/5.51 ncf('1.1.1.1.1.1.1.4',plain,[-(rel_str(564 ^ []))],extension(568 ^ 11)).
% 5.13/5.51 ncf('1.1.1.1.1.1.2',plain,[-(ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []))],extension(2 ^ 10,bind([[_101982], [ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.1.1.3',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []))],extension(2 ^ 10,bind([[_101982], [the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.1.2',plain,[-(element(the_InternalRel(564 ^ []), powerset(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))), relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))],extension(392 ^ 9,bind([[_114491, _114493, _114495], [the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.1.2.1',plain,[-(relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))), rel_str(564 ^ [])],extension(398 ^ 10,bind([[_114705], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.1.1.1.2.1.1',plain,[-(rel_str(564 ^ []))],extension(568 ^ 11)).
% 5.13/5.51 ncf('1.1.1.1.2',plain,[empty(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))), in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), element(the_InternalRel(564 ^ []), powerset(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))],extension(533 ^ 8,bind([[_119396, _119398, _119400], [cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])), the_InternalRel(564 ^ []), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.2.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])],extension(104 ^ 9,bind([[_105330, _105332, _105334, _105336], [the_InternalRel(564 ^ []), the_InternalRel(564 ^ []), ordered_pair(569 ^ [], 572 ^ []), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.2.1.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), 320 : related(564 ^ [], 569 ^ [], 572 ^ []), 320 : element(572 ^ [], the_carrier(564 ^ [])), 316 : element(569 ^ [], the_carrier(564 ^ [])), 312 : rel_str(564 ^ [])],extension(308 ^ 10,bind([[_112393, _112551, _112708], [564 ^ [], 569 ^ [], 572 ^ []]]))).
% 5.13/5.51 ncf('1.1.1.1.2.1.1.1',plain,[-(related(564 ^ [], 569 ^ [], 572 ^ []))],extension(576 ^ 17)).
% 5.13/5.51 ncf('1.1.1.1.2.1.1.2',plain,[-(element(572 ^ [], the_carrier(564 ^ [])))],extension(574 ^ 15)).
% 5.13/5.51 ncf('1.1.1.1.2.1.1.3',plain,[-(element(569 ^ [], the_carrier(564 ^ [])))],extension(571 ^ 13)).
% 5.13/5.51 ncf('1.1.1.1.2.1.1.4',plain,[-(rel_str(564 ^ []))],extension(568 ^ 11)).
% 5.13/5.51 ncf('1.1.1.1.2.1.2',plain,[-(ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []))],extension(2 ^ 10,bind([[_101982], [ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.2.1.3',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []))],extension(2 ^ 10,bind([[_101982], [the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.2.2',plain,[-(element(the_InternalRel(564 ^ []), powerset(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))), relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))],extension(392 ^ 9,bind([[_114491, _114493, _114495], [the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.1.1.2.2.1',plain,[-(relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))), rel_str(564 ^ [])],extension(398 ^ 10,bind([[_114705], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.1.1.2.2.1.1',plain,[-(rel_str(564 ^ []))],extension(568 ^ 11)).
% 5.13/5.51 ncf('1.1.2',plain,[-(in(572 ^ [], the_carrier(564 ^ []))), in(ordered_pair(572 ^ [], 569 ^ []), cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])))],extension(477 ^ 6,bind([[_117538, _117540, _117542, _117544], [the_carrier(564 ^ []), the_carrier(564 ^ []), 569 ^ [], 572 ^ []]]))).
% 5.13/5.51 ncf('1.1.2.1',plain,[-(in(ordered_pair(572 ^ [], 569 ^ []), cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])))), element(ordered_pair(572 ^ [], 569 ^ []), cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))), -(empty(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))],extension(501 ^ 7,bind([[_118346, _118348], [cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])), ordered_pair(572 ^ [], 569 ^ [])]]))).
% 5.13/5.51 ncf('1.1.2.1.1',plain,[-(element(ordered_pair(572 ^ [], 569 ^ []), cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])))), in(ordered_pair(572 ^ [], 569 ^ []), the_InternalRel(564 ^ [])), element(the_InternalRel(564 ^ []), powerset(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))],extension(523 ^ 8,bind([[_119069, _119071, _119073], [cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])), the_InternalRel(564 ^ []), ordered_pair(572 ^ [], 569 ^ [])]]))).
% 5.13/5.51 ncf('1.1.2.1.1.1',plain,[-(in(ordered_pair(572 ^ [], 569 ^ []), the_InternalRel(564 ^ []))), 320 : related(564 ^ [], 572 ^ [], 569 ^ []), 320 : element(569 ^ [], the_carrier(564 ^ [])), 316 : element(572 ^ [], the_carrier(564 ^ [])), 312 : rel_str(564 ^ [])],extension(308 ^ 9,bind([[_112393, _112551, _112708], [564 ^ [], 572 ^ [], 569 ^ []]]))).
% 5.13/5.51 ncf('1.1.2.1.1.1.1',plain,[-(related(564 ^ [], 572 ^ [], 569 ^ []))],extension(578 ^ 16)).
% 5.13/5.51 ncf('1.1.2.1.1.1.2',plain,[-(element(569 ^ [], the_carrier(564 ^ [])))],extension(571 ^ 14)).
% 5.13/5.51 ncf('1.1.2.1.1.1.3',plain,[-(element(572 ^ [], the_carrier(564 ^ [])))],extension(574 ^ 12)).
% 5.13/5.51 ncf('1.1.2.1.1.1.4',plain,[-(rel_str(564 ^ []))],extension(568 ^ 10)).
% 5.13/5.51 ncf('1.1.2.1.1.2',plain,[-(element(the_InternalRel(564 ^ []), powerset(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))), relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))],extension(392 ^ 9,bind([[_114491, _114493, _114495], [the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.2.1.1.2.1',plain,[-(relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))), rel_str(564 ^ [])],extension(398 ^ 10,bind([[_114705], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.2.1.1.2.1.1',plain,[-(rel_str(564 ^ []))],extension(568 ^ 11)).
% 5.13/5.51 ncf('1.1.2.1.2',plain,[empty(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))), in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), element(the_InternalRel(564 ^ []), powerset(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))],extension(533 ^ 8,bind([[_119396, _119398, _119400], [cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ [])), the_InternalRel(564 ^ []), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.2.1.2.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])],extension(104 ^ 9,bind([[_105330, _105332, _105334, _105336], [the_InternalRel(564 ^ []), the_InternalRel(564 ^ []), ordered_pair(569 ^ [], 572 ^ []), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.2.1.2.1.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), 320 : related(564 ^ [], 569 ^ [], 572 ^ []), 320 : element(572 ^ [], the_carrier(564 ^ [])), 316 : element(569 ^ [], the_carrier(564 ^ [])), 312 : rel_str(564 ^ [])],extension(308 ^ 10,bind([[_112393, _112551, _112708], [564 ^ [], 569 ^ [], 572 ^ []]]))).
% 5.13/5.51 ncf('1.1.2.1.2.1.1.1',plain,[-(related(564 ^ [], 569 ^ [], 572 ^ []))],extension(576 ^ 17)).
% 5.13/5.51 ncf('1.1.2.1.2.1.1.2',plain,[-(element(572 ^ [], the_carrier(564 ^ [])))],extension(574 ^ 15)).
% 5.13/5.51 ncf('1.1.2.1.2.1.1.3',plain,[-(element(569 ^ [], the_carrier(564 ^ [])))],extension(571 ^ 13)).
% 5.13/5.51 ncf('1.1.2.1.2.1.1.4',plain,[-(rel_str(564 ^ []))],extension(568 ^ 11)).
% 5.13/5.51 ncf('1.1.2.1.2.1.2',plain,[-(ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []))],extension(2 ^ 10,bind([[_101982], [ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.2.1.2.1.3',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []))],extension(2 ^ 10,bind([[_101982], [the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.2.1.2.2',plain,[-(element(the_InternalRel(564 ^ []), powerset(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))), relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))],extension(392 ^ 9,bind([[_114491, _114493, _114495], [the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.2.1.2.2.1',plain,[-(relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))), rel_str(564 ^ [])],extension(398 ^ 10,bind([[_114705], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.2.1.2.2.1.1',plain,[-(rel_str(564 ^ []))],extension(568 ^ 11)).
% 5.13/5.51 ncf('1.1.3',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])],extension(104 ^ 6,bind([[_105330, _105332, _105334, _105336], [the_InternalRel(564 ^ []), the_InternalRel(564 ^ []), ordered_pair(569 ^ [], 572 ^ []), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.3.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])],extension(104 ^ 7,bind([[_105330, _105332, _105334, _105336], [the_InternalRel(564 ^ []), the_InternalRel(564 ^ []), ordered_pair(569 ^ [], 572 ^ []), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.3.1.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])],extension(104 ^ 8,bind([[_105330, _105332, _105334, _105336], [the_InternalRel(564 ^ []), the_InternalRel(564 ^ []), ordered_pair(569 ^ [], 572 ^ []), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.3.1.1.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ [])), ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])],extension(104 ^ 9,bind([[_105330, _105332, _105334, _105336], [the_InternalRel(564 ^ []), the_InternalRel(564 ^ []), ordered_pair(569 ^ [], 572 ^ []), ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.3.1.1.1.1',plain,[-(in(ordered_pair(569 ^ [], 572 ^ []), the_InternalRel(564 ^ []))), 320 : related(564 ^ [], 569 ^ [], 572 ^ []), 320 : element(572 ^ [], the_carrier(564 ^ [])), 316 : element(569 ^ [], the_carrier(564 ^ [])), 312 : rel_str(564 ^ [])],extension(308 ^ 10,bind([[_112393, _112551, _112708], [564 ^ [], 569 ^ [], 572 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.1.1.1.1.1',plain,[-(related(564 ^ [], 569 ^ [], 572 ^ []))],extension(576 ^ 17)).
% 5.13/5.51 ncf('1.1.3.1.1.1.1.2',plain,[-(element(572 ^ [], the_carrier(564 ^ [])))],extension(574 ^ 15)).
% 5.13/5.51 ncf('1.1.3.1.1.1.1.3',plain,[-(element(569 ^ [], the_carrier(564 ^ [])))],extension(571 ^ 13)).
% 5.13/5.51 ncf('1.1.3.1.1.1.1.4',plain,[-(rel_str(564 ^ []))],extension(568 ^ 11)).
% 5.13/5.51 ncf('1.1.3.1.1.1.2',plain,[-(ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ []))],extension(2 ^ 10,bind([[_101982], [ordered_pair(569 ^ [], 572 ^ [])]]))).
% 5.13/5.51 ncf('1.1.3.1.1.1.3',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []))],extension(2 ^ 10,bind([[_101982], [the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.3.1.1.2',plain,[-(ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ [])), 569 ^ [] = 569 ^ [], 572 ^ [] = 572 ^ []],extension(202 ^ 9,bind([[_108515, _108517, _108519, _108521], [572 ^ [], 572 ^ [], 569 ^ [], 569 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.1.1.2.1',plain,[-(569 ^ [] = 569 ^ [])],extension(2 ^ 10,bind([[_101982], [569 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.1.1.2.2',plain,[-(572 ^ [] = 572 ^ [])],extension(2 ^ 10,bind([[_101982], [572 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.1.1.3',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])), 564 ^ [] = 564 ^ []],extension(180 ^ 9,bind([[_107692, _107694], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.1.1.3.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 10,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.1.2',plain,[-(ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ [])), 569 ^ [] = 569 ^ [], 572 ^ [] = 572 ^ []],extension(202 ^ 8,bind([[_108515, _108517, _108519, _108521], [572 ^ [], 572 ^ [], 569 ^ [], 569 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.1.2.1',plain,[-(569 ^ [] = 569 ^ [])],extension(2 ^ 9,bind([[_101982], [569 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.1.2.2',plain,[-(572 ^ [] = 572 ^ [])],extension(2 ^ 9,bind([[_101982], [572 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.1.3',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])), 564 ^ [] = 564 ^ []],extension(180 ^ 8,bind([[_107692, _107694], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.1.3.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 9,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.2',plain,[-(ordered_pair(569 ^ [], 572 ^ []) = ordered_pair(569 ^ [], 572 ^ [])), 569 ^ [] = 569 ^ [], 572 ^ [] = 572 ^ []],extension(202 ^ 7,bind([[_108515, _108517, _108519, _108521], [572 ^ [], 572 ^ [], 569 ^ [], 569 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.2.1',plain,[-(569 ^ [] = 569 ^ [])],extension(2 ^ 8,bind([[_101982], [569 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.2.2',plain,[-(572 ^ [] = 572 ^ [])],extension(2 ^ 8,bind([[_101982], [572 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.3',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])), 564 ^ [] = 564 ^ []],extension(180 ^ 7,bind([[_107692, _107694], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.3.3.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 8,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.4',plain,[-(in(ordered_pair(572 ^ [], 569 ^ []), the_InternalRel(564 ^ []))), 320 : related(564 ^ [], 572 ^ [], 569 ^ []), 320 : element(569 ^ [], the_carrier(564 ^ [])), 316 : element(572 ^ [], the_carrier(564 ^ [])), 312 : rel_str(564 ^ [])],extension(308 ^ 6,bind([[_112393, _112551, _112708], [564 ^ [], 572 ^ [], 569 ^ []]]))).
% 5.13/5.51 ncf('1.1.4.1',plain,[-(related(564 ^ [], 572 ^ [], 569 ^ []))],extension(578 ^ 13)).
% 5.13/5.51 ncf('1.1.4.2',plain,[-(element(569 ^ [], the_carrier(564 ^ [])))],extension(571 ^ 11)).
% 5.13/5.51 ncf('1.1.4.3',plain,[-(element(572 ^ [], the_carrier(564 ^ [])))],extension(574 ^ 9)).
% 5.13/5.51 ncf('1.1.4.4',plain,[-(rel_str(564 ^ []))],extension(568 ^ 7)).
% 5.13/5.51 ncf('1.1.5',plain,[-(is_antisymmetric_in(the_InternalRel(564 ^ []), the_carrier(564 ^ []))), is_antisymmetric_in(the_InternalRel(564 ^ []), the_carrier(564 ^ [])), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []), the_carrier(564 ^ []) = the_carrier(564 ^ [])],extension(30 ^ 4,bind([[_102929, _102931, _102933, _102935], [the_carrier(564 ^ []), the_carrier(564 ^ []), the_InternalRel(564 ^ []), the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.5.1',plain,[-(is_antisymmetric_in(the_InternalRel(564 ^ []), the_carrier(564 ^ []))), is_antisymmetric_in(the_InternalRel(564 ^ []), the_carrier(564 ^ [])), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []), the_carrier(564 ^ []) = the_carrier(564 ^ [])],extension(30 ^ 5,bind([[_102929, _102931, _102933, _102935], [the_carrier(564 ^ []), the_carrier(564 ^ []), the_InternalRel(564 ^ []), the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.5.1.1',plain,[-(is_antisymmetric_in(the_InternalRel(564 ^ []), the_carrier(564 ^ []))), is_antisymmetric_in(the_InternalRel(564 ^ []), the_carrier(564 ^ [])), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []), the_carrier(564 ^ []) = the_carrier(564 ^ [])],extension(30 ^ 6,bind([[_102929, _102931, _102933, _102935], [the_carrier(564 ^ []), the_carrier(564 ^ []), the_InternalRel(564 ^ []), the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.5.1.1.1',plain,[-(is_antisymmetric_in(the_InternalRel(564 ^ []), the_carrier(564 ^ []))), is_antisymmetric_in(the_InternalRel(564 ^ []), the_carrier(564 ^ [])), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []), the_carrier(564 ^ []) = the_carrier(564 ^ [])],extension(30 ^ 7,bind([[_102929, _102931, _102933, _102935], [the_carrier(564 ^ []), the_carrier(564 ^ []), the_InternalRel(564 ^ []), the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.5.1.1.1.1',plain,[-(is_antisymmetric_in(the_InternalRel(564 ^ []), the_carrier(564 ^ []))), 296 : antisymmetric_relstr(564 ^ []), 296 : rel_str(564 ^ [])],extension(292 ^ 8,bind([[_111956], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.1.1.1.1.1',plain,[-(antisymmetric_relstr(564 ^ []))],extension(566 ^ 11)).
% 5.13/5.51 ncf('1.1.5.1.1.1.1.2',plain,[-(rel_str(564 ^ []))],extension(568 ^ 9)).
% 5.13/5.51 ncf('1.1.5.1.1.1.2',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []))],extension(2 ^ 8,bind([[_101982], [the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.5.1.1.1.3',plain,[-(the_carrier(564 ^ []) = the_carrier(564 ^ []))],extension(2 ^ 8,bind([[_101982], [the_carrier(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.5.1.1.2',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])), 564 ^ [] = 564 ^ []],extension(180 ^ 7,bind([[_107692, _107694], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.1.1.2.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 8,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.1.1.3',plain,[-(the_carrier(564 ^ []) = the_carrier(564 ^ [])), 564 ^ [] = 564 ^ []],extension(228 ^ 7,bind([[_109403, _109405], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.1.1.3.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 8,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.1.2',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])), 564 ^ [] = 564 ^ []],extension(180 ^ 6,bind([[_107692, _107694], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.1.2.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 7,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.1.3',plain,[-(the_carrier(564 ^ []) = the_carrier(564 ^ [])), 564 ^ [] = 564 ^ []],extension(228 ^ 6,bind([[_109403, _109405], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.1.3.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 7,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.2',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])), 564 ^ [] = 564 ^ []],extension(180 ^ 5,bind([[_107692, _107694], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.2.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 6,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.3',plain,[-(the_carrier(564 ^ []) = the_carrier(564 ^ [])), 564 ^ [] = 564 ^ []],extension(228 ^ 5,bind([[_109403, _109405], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.5.3.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 6,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.6',plain,[-(relation(the_InternalRel(564 ^ []))), element(the_InternalRel(564 ^ []), powerset(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))],extension(240 ^ 2,bind([[_109904, _109906, _109908], [the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.6.1',plain,[-(element(the_InternalRel(564 ^ []), powerset(cartesian_product2(the_carrier(564 ^ []), the_carrier(564 ^ []))))), relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))],extension(392 ^ 3,bind([[_114491, _114493, _114495], [the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.6.1.1',plain,[-(relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))), relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ [])), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []), the_carrier(564 ^ []) = the_carrier(564 ^ []), the_carrier(564 ^ []) = the_carrier(564 ^ [])],extension(54 ^ 4,bind([[_103696, _103698, _103700, _103702, _103704, _103706], [the_carrier(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []), the_InternalRel(564 ^ []), the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.6.1.1.1',plain,[-(relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))), relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ [])), the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []), the_carrier(564 ^ []) = the_carrier(564 ^ []), the_carrier(564 ^ []) = the_carrier(564 ^ [])],extension(54 ^ 5,bind([[_103696, _103698, _103700, _103702, _103704, _103706], [the_carrier(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []), the_InternalRel(564 ^ []), the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.6.1.1.1.1',plain,[-(relation_of2_as_subset(the_InternalRel(564 ^ []), the_carrier(564 ^ []), the_carrier(564 ^ []))), rel_str(564 ^ [])],extension(398 ^ 6,bind([[_114705], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.6.1.1.1.1.1',plain,[-(rel_str(564 ^ []))],extension(568 ^ 7)).
% 5.13/5.51 ncf('1.1.6.1.1.1.2',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ []))],extension(2 ^ 6,bind([[_101982], [the_InternalRel(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.6.1.1.1.3',plain,[-(the_carrier(564 ^ []) = the_carrier(564 ^ []))],extension(2 ^ 6,bind([[_101982], [the_carrier(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.6.1.1.1.4',plain,[-(the_carrier(564 ^ []) = the_carrier(564 ^ []))],extension(2 ^ 6,bind([[_101982], [the_carrier(564 ^ [])]]))).
% 5.13/5.51 ncf('1.1.6.1.1.2',plain,[-(the_InternalRel(564 ^ []) = the_InternalRel(564 ^ [])), 564 ^ [] = 564 ^ []],extension(180 ^ 5,bind([[_107692, _107694], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.6.1.1.2.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 6,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.6.1.1.3',plain,[-(the_carrier(564 ^ []) = the_carrier(564 ^ [])), 564 ^ [] = 564 ^ []],extension(228 ^ 5,bind([[_109403, _109405], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.6.1.1.3.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 6,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 ncf('1.1.6.1.1.4',plain,[-(the_carrier(564 ^ []) = the_carrier(564 ^ [])), 564 ^ [] = 564 ^ []],extension(228 ^ 5,bind([[_109403, _109405], [564 ^ [], 564 ^ []]]))).
% 5.13/5.51 ncf('1.1.6.1.1.4.1',plain,[-(564 ^ [] = 564 ^ [])],extension(2 ^ 6,bind([[_101982], [564 ^ []]]))).
% 5.13/5.51 %-----------------------------------------------------
% 5.13/5.51 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------