TSTP Solution File: SEU266+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU266+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:02:56 EDT 2023

% Result   : Theorem 43.66s 42.76s
% Output   : Proof 43.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU266+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n023.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 13:45:29 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 43.66/42.76  
% 43.66/42.76  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.66/42.76  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.66/42.76  %-----------------------------------------------------
% 43.66/42.76  ncf(matrix, plain, [(452 ^ _95167) ^ [] : [462 ^ _95167 : [(468 ^ _95167) ^ [_95751] : [in(ordered_pair(_95751, 464 ^ []), 448 ^ [])], (466 ^ _95167) ^ [] : [-(in(464 ^ [], 447 ^ []))], (463 ^ _95167) ^ [] : [-(relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []) = 447 ^ [])]], 453 ^ _95167 : [(454 ^ _95167) ^ [_95338] : [in(_95338, 447 ^ []), -(in(ordered_pair(457 ^ [_95338], _95338), 448 ^ []))], (461 ^ _95167) ^ [] : [relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []) = 447 ^ []]]], (450 ^ _95167) ^ [] : [-(relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ []))], !, (287 ^ _80026) ^ [_89448, _89450, _89452] : [relation_of2(_89448, _89452, _89450), -(element(relation_rng_as_subset(_89452, _89450, _89448), powerset(_89450)))], (269 ^ _80026) ^ [] : [true___, -(true___)], (425 ^ _80026) ^ [_94168] : [empty(_94168), -(_94168 = empty_set)], (192 ^ _80026) ^ [_86612, _86614, _86616] : [element(_86612, powerset(cartesian_product2(_86616, _86614))), -(relation(_86612))], (350 ^ _80026) ^ [_91670, _91672] : [in(_91672, _91670), -(element(_91672, _91670))], (320 ^ _80026) ^ [] : [-(empty(empty_set))], (20 ^ _80026) ^ [_80830, _80832, _80834, _80836, _80838, _80840] : [-(relation_of2(_80838, _80834, _80830)), relation_of2(_80840, _80836, _80832), _80840 = _80838, _80836 = _80834, _80832 = _80830], (76 ^ _80026) ^ [_82566, _82568] : [-(empty(_82566)), _82568 = _82566, empty(_82568)], (172 ^ _80026) ^ [_85897, _85899, _85901, _85903, _85905, _85907] : [-(relation_rng_as_subset(_85907, _85903, _85899) = relation_rng_as_subset(_85905, _85901, _85897)), _85907 = _85905, _85903 = _85901, _85899 = _85897], (38 ^ _80026) ^ [_81383, _81385] : [-(relation(_81383)), _81385 = _81383, relation(_81385)], (299 ^ _80026) ^ [] : [true___, -(true___)], (318 ^ _80026) ^ [_90451, _90453] : [-(relation_of2_as_subset(316 ^ [_90451, _90453], _90453, _90451))], (325 ^ _80026) ^ [] : [-(empty(323 ^ []))], (86 ^ _80026) ^ [_82917, _82919, _82921, _82923, _82925, _82927] : [-(relation_of2_as_subset(_82925, _82921, _82917)), relation_of2_as_subset(_82927, _82923, _82919), _82927 = _82925, _82923 = _82921, _82919 = _82917], (257 ^ _80026) ^ [] : [true___, -(true___)], (393 ^ _80026) ^ [_93149, _93151] : [element(_93151, powerset(_93149)), -(subset(_93151, _93149))], (128 ^ _80026) ^ [_84271, _84273] : [_84273 = _84271, -(singleton(_84273) = singleton(_84271))], (328 ^ _80026) ^ [] : [empty(326 ^ [])], (104 ^ _80026) ^ [_83478, _83480, _83482, _83484] : [-(in(_83482, _83478)), in(_83484, _83480), _83484 = _83482, _83480 = _83478], (48 ^ _80026) ^ [_81706, _81708, _81710, _81712] : [-(subset(_81710, _81706)), subset(_81712, _81708), _81712 = _81710, _81708 = _81706], (156 ^ _80026) ^ [_85284, _85286] : [_85286 = _85284, -(powerset(_85286) = powerset(_85284))], (62 ^ _80026) ^ [_82150, _82152, _82154, _82156] : [-(element(_82154, _82150)), element(_82156, _82152), _82156 = _82154, _82152 = _82150], (118 ^ _80026) ^ [_83940, _83942, _83944, _83946] : [-(unordered_pair(_83946, _83942) = unordered_pair(_83944, _83940)), _83946 = _83944, _83942 = _83940], (4 ^ _80026) ^ [_80257, _80259] : [_80259 = _80257, -(_80257 = _80259)], (275 ^ _80026) ^ [] : [true___, -(true___)], (239 ^ _80026) ^ [] : [true___, -(true___)], (237 ^ _80026) ^ [_88362, _88364] : [-(ordered_pair(_88364, _88362) = unordered_pair(unordered_pair(_88364, _88362), singleton(_88364)))], (245 ^ _80026) ^ [] : [true___, -(true___)], (330 ^ _80026) ^ [_90909, _90911, _90913] : [relation_of2(_90909, _90913, _90911), -(relation_rng_as_subset(_90913, _90911, _90909) = relation_rng(_90909))], (198 ^ _80026) ^ [_86821, _86823] : [-(unordered_pair(_86823, _86821) = unordered_pair(_86821, _86823))], (2 ^ _80026) ^ [_80150] : [-(_80150 = _80150)], (399 ^ _80026) ^ [_93315, _93317] : [subset(_93317, _93315), -(element(_93317, powerset(_93315)))], (405 ^ _80026) ^ [_93545, _93547, _93549] : [-(element(_93549, _93545)), in(_93549, _93547), element(_93547, powerset(_93545))], (312 ^ _80026) ^ [_90185, _90187] : [-(relation_of2(310 ^ [_90185, _90187], _90187, _90185))], (305 ^ _80026) ^ [_89930, _89932, _89934] : [relation_of2_as_subset(_89930, _89934, _89932), -(element(_89930, powerset(cartesian_product2(_89934, _89932))))], (415 ^ _80026) ^ [_93872, _93874, _93876] : [in(_93876, _93874), element(_93874, powerset(_93872)), empty(_93872)], (315 ^ _80026) ^ [_90312] : [-(element(313 ^ [_90312], _90312))], (322 ^ _80026) ^ [_90605, _90607] : [empty(ordered_pair(_90607, _90605))], (263 ^ _80026) ^ [] : [true___, -(true___)], (368 ^ _80026) ^ [_92292, _92294] : [element(_92294, _92292), -(empty(_92292)), -(in(_92294, _92292))], (431 ^ _80026) ^ [_94370, _94372] : [in(_94372, _94370), empty(_94370)], (437 ^ _80026) ^ [_94557, _94559] : [empty(_94559), -(_94559 = _94557), empty(_94557)], (378 ^ _80026) ^ [_92590, _92592] : [-(_92592 = _92590), 382 ^ _80026 : [(385 ^ _80026) ^ [] : [in(379 ^ [_92590, _92592], _92590)], (383 ^ _80026) ^ [] : [-(in(379 ^ [_92590, _92592], _92592))]], 386 ^ _80026 : [(389 ^ _80026) ^ [] : [in(379 ^ [_92590, _92592], _92592)], (387 ^ _80026) ^ [] : [-(in(379 ^ [_92590, _92592], _92590))]]], (251 ^ _80026) ^ [] : [true___, -(true___)], (281 ^ _80026) ^ [] : [true___, -(true___)], (144 ^ _80026) ^ [_84848, _84850] : [_84850 = _84848, -(relation_dom(_84850) = relation_dom(_84848))], (348 ^ _80026) ^ [_91561, _91563] : [-(subset(_91563, _91563))], (150 ^ _80026) ^ [_85066, _85068] : [_85068 = _85066, -(relation_rng(_85068) = relation_rng(_85066))], (162 ^ _80026) ^ [_85530, _85532, _85534, _85536] : [-(ordered_pair(_85536, _85532) = ordered_pair(_85534, _85530)), _85536 = _85534, _85532 = _85530], (356 ^ _80026) ^ [_91894, _91896, _91898] : [relation(_91894), in(ordered_pair(_91898, _91896), _91894), 363 ^ _80026 : [(366 ^ _80026) ^ [] : [-(in(_91896, relation_rng(_91894)))], (364 ^ _80026) ^ [] : [-(in(_91898, relation_dom(_91894)))]]], (10 ^ _80026) ^ [_80461, _80463, _80465] : [-(_80465 = _80461), _80465 = _80463, _80463 = _80461], (200 ^ _80026) ^ [_86922] : [relation(_86922), 203 ^ _80026 : [(204 ^ _80026) ^ [_87103] : [_87103 = relation_rng(_86922), 207 ^ _80026 : [(215 ^ _80026) ^ [_87527] : [216 ^ _80026 : [(217 ^ _80026) ^ [_87606] : [in(ordered_pair(_87606, _87527), _86922)]], -(in(_87527, _87103))], (208 ^ _80026) ^ [_87283] : [in(_87283, _87103), -(in(ordered_pair(211 ^ [_86922, _87103, _87283], _87283), _86922))]]], (221 ^ _80026) ^ [_87734] : [-(_87734 = relation_rng(_86922)), 225 ^ _80026 : [(228 ^ _80026) ^ [_87997] : [in(ordered_pair(_87997, 222 ^ [_86922, _87734]), _86922)], (226 ^ _80026) ^ [] : [-(in(222 ^ [_86922, _87734], _87734))]], 230 ^ _80026 : [(233 ^ _80026) ^ [] : [in(222 ^ [_86922, _87734], _87734)], (231 ^ _80026) ^ [] : [-(in(ordered_pair(229 ^ [_86922, _87734], 222 ^ [_86922, _87734]), _86922))]]]]], (293 ^ _80026) ^ [] : [true___, -(true___)], (342 ^ _80026) ^ [_91354, _91356, _91358] : [relation_of2(_91354, _91358, _91356), -(relation_of2_as_subset(_91354, _91358, _91356))], (134 ^ _80026) ^ [_84517, _84519, _84521, _84523] : [-(cartesian_product2(_84523, _84519) = cartesian_product2(_84521, _84517)), _84523 = _84521, _84519 = _84517], (336 ^ _80026) ^ [_91182, _91184, _91186] : [relation_of2_as_subset(_91182, _91186, _91184), -(relation_of2(_91182, _91186, _91184))], (186 ^ _80026) ^ [_86387, _86389] : [in(_86389, _86387), in(_86387, _86389)]], input).
% 43.66/42.76  ncf('1',plain,[468 : in(ordered_pair(211 ^ [448 ^ [], 447 ^ [], 464 ^ []], 464 ^ []), 448 ^ []), 461 : relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []) = 447 ^ []],start(452 ^ 0,bind([[_95751], [211 ^ [448 ^ [], 447 ^ [], 464 ^ []]]]))).
% 43.66/42.76  ncf('1.1',plain,[-(in(ordered_pair(211 ^ [448 ^ [], 447 ^ [], 464 ^ []], 464 ^ []), 448 ^ [])), 208 : in(464 ^ [], 447 ^ []), 208 : 447 ^ [] = relation_rng(448 ^ []), 204 : relation(448 ^ [])],extension(200 ^ 3,bind([[_86922, _87103, _87283], [448 ^ [], 447 ^ [], 464 ^ []]]))).
% 43.66/42.76  ncf('1.1.1',plain,[-(in(464 ^ [], 447 ^ []))],extension(466 ^ 8)).
% 43.66/42.76  ncf('1.1.2',plain,[-(447 ^ [] = relation_rng(448 ^ [])), 447 ^ [] = relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []), relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []) = relation_rng(448 ^ [])],extension(10 ^ 6,bind([[_80461, _80463, _80465], [relation_rng(448 ^ []), relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []), 447 ^ []]]))).
% 43.66/42.76  ncf('1.1.2.1',plain,[-(447 ^ [] = relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])), relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []) = 447 ^ []],extension(4 ^ 7,bind([[_80257, _80259], [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]]))).
% 43.66/42.76  ncf('1.1.2.1.1',plain,[-(relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []) = 447 ^ [])],extension(463 ^ 8)).
% 43.66/42.76  ncf('1.1.2.2',plain,[-(relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []) = relation_rng(448 ^ [])), relation_of2(448 ^ [], 446 ^ [], 447 ^ [])],extension(330 ^ 7,bind([[_90909, _90911, _90913], [448 ^ [], 447 ^ [], 446 ^ []]]))).
% 43.66/42.76  ncf('1.1.2.2.1',plain,[-(relation_of2(448 ^ [], 446 ^ [], 447 ^ [])), relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ [])],extension(336 ^ 8,bind([[_91182, _91184, _91186], [448 ^ [], 447 ^ [], 446 ^ []]]))).
% 43.66/42.76  ncf('1.1.2.2.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ []))],extension(450 ^ 9)).
% 43.66/42.76  ncf('1.1.3',plain,[-(relation(448 ^ [])), element(448 ^ [], powerset(cartesian_product2(446 ^ [], 447 ^ [])))],extension(192 ^ 4,bind([[_86612, _86614, _86616], [448 ^ [], 447 ^ [], 446 ^ []]]))).
% 43.66/42.76  ncf('1.1.3.1',plain,[-(element(448 ^ [], powerset(cartesian_product2(446 ^ [], 447 ^ [])))), relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ [])],extension(305 ^ 5,bind([[_89930, _89932, _89934], [448 ^ [], 447 ^ [], 446 ^ []]]))).
% 43.66/42.76  ncf('1.1.3.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ []))],extension(450 ^ 6)).
% 43.66/42.76  ncf('1.2',plain,[-(relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []) = 447 ^ []), 383 : -(in(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []))), 389 : in(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []))],extension(378 ^ 3,bind([[_92590, _92592], [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]]))).
% 43.66/42.76  ncf('1.2.1',plain,[in(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])), element(relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []), powerset(447 ^ [])), empty(447 ^ [])],extension(415 ^ 6,bind([[_93872, _93874, _93876], [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []), 379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]]]))).
% 43.66/42.76  ncf('1.2.1.1',plain,[-(element(relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []), powerset(447 ^ []))), relation_of2(448 ^ [], 446 ^ [], 447 ^ [])],extension(287 ^ 7,bind([[_89448, _89450, _89452], [448 ^ [], 447 ^ [], 446 ^ []]]))).
% 43.66/42.76  ncf('1.2.1.1.1',plain,[-(relation_of2(448 ^ [], 446 ^ [], 447 ^ [])), relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ [])],extension(336 ^ 8,bind([[_91182, _91184, _91186], [448 ^ [], 447 ^ [], 446 ^ []]]))).
% 43.66/42.76  ncf('1.2.1.1.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ []))],extension(450 ^ 9)).
% 43.66/42.76  ncf('1.2.1.2',plain,[-(empty(447 ^ [])), element(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], 447 ^ []), -(in(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], 447 ^ []))],extension(368 ^ 7,bind([[_92292, _92294], [447 ^ [], 379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]]]))).
% 43.66/42.76  ncf('1.2.1.2.1',plain,[-(element(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], 447 ^ [])), in(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])), element(relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []), powerset(447 ^ []))],extension(405 ^ 8,bind([[_93545, _93547, _93549], [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []), 379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]]]))).
% 43.66/42.76  ncf('1.2.1.2.1.1',plain,[-(in(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])))],reduction('1.2')).
% 43.66/42.76  ncf('1.2.1.2.1.2',plain,[-(element(relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []), powerset(447 ^ [])))],lemmata('[2, 1].x')).
% 43.66/42.76  ncf('1.2.1.2.2',plain,[in(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], 447 ^ [])],extension(385 ^ 8)).
% 43.66/42.76  ncf('1.2.2',plain,[-(in(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []))), 217 : in(ordered_pair(457 ^ [379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]], 379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]), 448 ^ []), 215 : relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []) = relation_rng(448 ^ []), 204 : relation(448 ^ [])],extension(200 ^ 6,bind([[_86922, _87103, _87527, _87606], [448 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []), 379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], 457 ^ [379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]]]]))).
% 43.66/42.76  ncf('1.2.2.1',plain,[-(in(ordered_pair(457 ^ [379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]], 379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]), 448 ^ [])), in(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], 447 ^ [])],extension(454 ^ 13,bind([[_95338], [379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])]]]))).
% 43.66/42.76  ncf('1.2.2.1.1',plain,[-(in(379 ^ [447 ^ [], relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ [])], 447 ^ []))],extension(387 ^ 14)).
% 43.66/42.76  ncf('1.2.2.2',plain,[-(relation_rng_as_subset(446 ^ [], 447 ^ [], 448 ^ []) = relation_rng(448 ^ [])), relation_of2(448 ^ [], 446 ^ [], 447 ^ [])],extension(330 ^ 9,bind([[_90909, _90911, _90913], [448 ^ [], 447 ^ [], 446 ^ []]]))).
% 43.66/42.76  ncf('1.2.2.2.1',plain,[-(relation_of2(448 ^ [], 446 ^ [], 447 ^ [])), relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ [])],extension(336 ^ 10,bind([[_91182, _91184, _91186], [448 ^ [], 447 ^ [], 446 ^ []]]))).
% 43.66/42.76  ncf('1.2.2.2.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ []))],extension(450 ^ 11)).
% 43.66/42.76  ncf('1.2.2.3',plain,[-(relation(448 ^ [])), element(448 ^ [], powerset(cartesian_product2(446 ^ [], 447 ^ [])))],extension(192 ^ 7,bind([[_86612, _86614, _86616], [448 ^ [], 447 ^ [], 446 ^ []]]))).
% 43.66/42.76  ncf('1.2.2.3.1',plain,[-(element(448 ^ [], powerset(cartesian_product2(446 ^ [], 447 ^ [])))), relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ [])],extension(305 ^ 8,bind([[_89930, _89932, _89934], [448 ^ [], 447 ^ [], 446 ^ []]]))).
% 43.66/42.76  ncf('1.2.2.3.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 446 ^ [], 447 ^ []))],extension(450 ^ 9)).
% 43.66/42.76  %-----------------------------------------------------
% 43.66/42.76  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------