TSTP Solution File: ITP018+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : ITP018+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n021.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 11:23:20 EDT 2023
% Result : Theorem 257.51s 248.95s
% Output : Proof 257.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP018+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n021.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 21:18:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 257.51/248.95
% 257.51/248.95 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 257.51/248.95 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 257.51/248.95 %-----------------------------------------------------
% 257.51/248.95 ncf(matrix, plain, [(452 ^ _75983) ^ [] : [-(ne(450 ^ []))], (392 ^ _75983) ^ [_89674] : [ne(_89674), 395 ^ _75983 : [(396 ^ _75983) ^ [_89839] : [ne(_89839), 399 ^ _75983 : [(400 ^ _75983) ^ [_90000] : [mem(_90000, ty_2Ebinary__ieee_2Efloat(_89674, _89839)), -(ap(c_2Ebinary__ieee_2Efloat__to__real(_89674, _89839), ap(c_2Ebinary__ieee_2Efloat__negate(_89674, _89839), _90000)) = ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Efloat__to__real(_89674, _89839), _90000)))]]]]], (70 ^ _75983) ^ [_78352, _78354] : [_78354 = _78352, -(ty_2Ebool_2Eitself(_78354) = ty_2Ebool_2Eitself(_78352))], (329 ^ _75983) ^ [_87538] : [ne(_87538), -(mem(c_2Emin_2E_3D(_87538), arr(_87538, arr(_87538, bool))))], (108 ^ _75983) ^ [_79752, _79754, _79756, _79758] : [-(c_2Ebinary__ieee_2Eulp(_79758, _79754) = c_2Ebinary__ieee_2Eulp(_79756, _79752)), _79758 = _79756, _79754 = _79752], (327 ^ _75983) ^ [] : [-(p(c_2Ebool_2ET))], (198 ^ _75983) ^ [_82966] : [mem(_82966, bool), 201 ^ _75983 : [(202 ^ _75983) ^ [_83109] : [mem(_83109, bool), -(_82966 = _83109), 209 ^ _75983 : [(210 ^ _75983) ^ [] : [-(p(_82966))], (212 ^ _75983) ^ [] : [p(_83109)]], 213 ^ _75983 : [(214 ^ _75983) ^ [] : [-(p(_83109))], (216 ^ _75983) ^ [] : [p(_82966)]]]]], (2 ^ _75983) ^ [_76127] : [-(_76127 = _76127)], (406 ^ _75983) ^ [_90264] : [ne(_90264), 409 ^ _75983 : [(410 ^ _75983) ^ [_90422] : [ne(_90422), -(ap(c_2Ebinary__ieee_2Eulp(_90264, _90422), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(_90264, _90422))) = ap(c_2Ebinary__ieee_2Efloat__to__real(_90264, _90422), ap(c_2Ebinary__ieee_2Efloat__plus__min(_90264, _90422), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(_90264, _90422)))))]]], (54 ^ _75983) ^ [_77803, _77805, _77807, _77809] : [-(k(_77809, _77805) = k(_77807, _77803)), _77809 = _77807, _77805 = _77803], (148 ^ _75983) ^ [_81188, _81190, _81192, _81194] : [-(c_2Ebinary__ieee_2Efloat__plus__min(_81194, _81190) = c_2Ebinary__ieee_2Efloat__plus__min(_81192, _81188)), _81194 = _81192, _81190 = _81188], (82 ^ _75983) ^ [_78816, _78818, _78820, _78822] : [-(arr(_78822, _78818) = arr(_78820, _78816)), _78822 = _78820, _78818 = _78816], (98 ^ _75983) ^ [_79393, _79395, _79397, _79399] : [-(ty_2Ebinary__ieee_2Efloat(_79399, _79395) = ty_2Ebinary__ieee_2Efloat(_79397, _79393)), _79399 = _79397, _79395 = _79393], (4 ^ _75983) ^ [_76234, _76236] : [_76236 = _76234, -(_76234 = _76236)], (253 ^ _75983) ^ [_84910] : [ne(_84910), 256 ^ _75983 : [(257 ^ _75983) ^ [_85042] : [ne(_85042), -(ne(ty_2Ebinary__ieee_2Efloat(_84910, _85042)))]]], (449 ^ _75983) ^ [] : [-(ne(447 ^ []))], (289 ^ _75983) ^ [_86141] : [ne(_86141), 292 ^ _75983 : [(293 ^ _75983) ^ [_86285] : [ne(_86285), -(mem(c_2Ebinary__ieee_2Efloat__plus__min(_86141, _86285), arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(_86141, _86285)), ty_2Ebinary__ieee_2Efloat(_86141, _86285))))]]], (178 ^ _75983) ^ [_82226] : [ne(_82226), 181 ^ _75983 : [(182 ^ _75983) ^ [_82358] : [ne(_82358), -(ne(arr(_82226, _82358)))]]], (118 ^ _75983) ^ [_80111, _80113, _80115, _80117] : [-(c_2Ebinary__ieee_2Efloat__to__real(_80117, _80113) = c_2Ebinary__ieee_2Efloat__to__real(_80115, _80111)), _80117 = _80115, _80113 = _80111], (158 ^ _75983) ^ [_81519, _81521] : [_81521 = _81519, -(c_2Ebool_2Ethe__value(_81521) = c_2Ebool_2Ethe__value(_81519))], (249 ^ _75983) ^ [] : [-(ne(ty_2Erealax_2Ereal))], (273 ^ _75983) ^ [_85614] : [ne(_85614), 276 ^ _75983 : [(277 ^ _75983) ^ [_85746] : [ne(_85746), -(ne(ty_2Epair_2Eprod(_85614, _85746)))]]], (174 ^ _75983) ^ [] : [-(ne(bool))], (299 ^ _75983) ^ [_86514] : [ne(_86514), 302 ^ _75983 : [(303 ^ _75983) ^ [_86653] : [ne(_86653), -(mem(c_2Ebinary__ieee_2Efloat__to__real(_86514, _86653), arr(ty_2Ebinary__ieee_2Efloat(_86514, _86653), ty_2Erealax_2Ereal)))]]], (416 ^ _75983) ^ [] : [true___, -(true___)], (64 ^ _75983) ^ [_78134, _78136] : [_78136 = _78134, -(i(_78136) = i(_78134))], (164 ^ _75983) ^ [_81745, _81747, _81749, _81751] : [-(ty_2Epair_2Eprod(_81751, _81747) = ty_2Epair_2Eprod(_81749, _81745)), _81751 = _81749, _81747 = _81745], (44 ^ _75983) ^ [_77470, _77472] : [-(ne(_77470)), _77472 = _77470, ne(_77472)], (359 ^ _75983) ^ [_88546] : [ne(_88546), -(mem(c_2Ebool_2E_21(_88546), arr(arr(_88546, bool), bool)))], (263 ^ _75983) ^ [_85247] : [ne(_85247), 266 ^ _75983 : [(267 ^ _75983) ^ [_85389] : [ne(_85389), -(mem(c_2Ebinary__ieee_2Efloat__negate(_85247, _85389), arr(ty_2Ebinary__ieee_2Efloat(_85247, _85389), ty_2Ebinary__ieee_2Efloat(_85247, _85389))))]]], (128 ^ _75983) ^ [_80470, _80472, _80474, _80476] : [-(c_2Ebinary__ieee_2Efloat__negate(_80476, _80472) = c_2Ebinary__ieee_2Efloat__negate(_80474, _80470)), _80476 = _80474, _80472 = _80470], (237 ^ _75983) ^ [_84376, _84378, _84380] : [mem(_84376, _84380), -(ap(k(_84380, _84378), _84376) = _84378)], (10 ^ _75983) ^ [_76438, _76440, _76442] : [-(_76442 = _76438), _76442 = _76440, _76440 = _76438], (92 ^ _75983) ^ [_79147, _79149] : [_79149 = _79147, -(c_2Ebool_2E_21(_79149) = c_2Ebool_2E_21(_79147))], (188 ^ _75983) ^ [_82591, _82593, _82595] : [mem(_82591, arr(_82595, _82593)), 191 ^ _75983 : [(192 ^ _75983) ^ [_82741] : [mem(_82741, _82595), -(mem(ap(_82591, _82741), _82593))]]], (365 ^ _75983) ^ [_88750] : [ne(_88750), 368 ^ _75983 : [(369 ^ _75983) ^ [_88907] : [mem(_88907, arr(_88750, bool)), 372 ^ _75983 : [(383 ^ _75983) ^ [] : [385 ^ _75983 : [(386 ^ _75983) ^ [] : [-(mem(384 ^ [_88750, _88907], _88750))], (388 ^ _75983) ^ [] : [p(ap(_88907, 384 ^ [_88750, _88907]))]], -(p(ap(c_2Ebool_2E_21(_88750), _88907)))], (373 ^ _75983) ^ [] : [p(ap(c_2Ebool_2E_21(_88750), _88907)), 376 ^ _75983 : [(377 ^ _75983) ^ [_89176] : [mem(_89176, _88750), -(p(ap(_88907, _89176)))]]]]]]], (220 ^ _75983) ^ [_83659, _83661, _83663] : [mem(_83659, arr(_83663, _83661)), 223 ^ _75983 : [(224 ^ _75983) ^ [_83832] : [mem(_83832, arr(_83663, _83661)), 230 ^ _75983 : [(231 ^ _75983) ^ [] : [-(mem(229 ^ [_83659, _83661, _83663, _83832], _83663))], (233 ^ _75983) ^ [] : [ap(_83659, 229 ^ [_83659, _83661, _83663, _83832]) = ap(_83832, 229 ^ [_83659, _83661, _83663, _83832])]], -(_83659 = _83832)]]], (309 ^ _75983) ^ [_86872] : [ne(_86872), -(mem(c_2Ebool_2Ethe__value(_86872), ty_2Ebool_2Eitself(_86872)))], (315 ^ _75983) ^ [_87068] : [ne(_87068), 318 ^ _75983 : [(319 ^ _75983) ^ [_87209] : [ne(_87209), -(mem(c_2Ebinary__ieee_2Eulp(_87068, _87209), arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(_87068, _87209)), ty_2Erealax_2Ereal)))]]], (176 ^ _75983) ^ [] : [-(ne(ind))], (243 ^ _75983) ^ [_84584, _84586] : [mem(_84584, _84586), -(ap(i(_84586), _84584) = _84584)], (138 ^ _75983) ^ [_80829, _80831, _80833, _80835] : [-(ap(_80835, _80831) = ap(_80833, _80829)), _80835 = _80833, _80831 = _80829], (20 ^ _75983) ^ [_76751, _76753] : [-(p(_76751)), _76753 = _76751, p(_76753)], (335 ^ _75983) ^ [_87742] : [ne(_87742), 338 ^ _75983 : [(339 ^ _75983) ^ [_87897] : [mem(_87897, _87742), 342 ^ _75983 : [(343 ^ _75983) ^ [_88049] : [mem(_88049, _87742), 346 ^ _75983 : [(347 ^ _75983) ^ [] : [p(ap(ap(c_2Emin_2E_3D(_87742), _87897), _88049)), -(_87897 = _88049)], (353 ^ _75983) ^ [] : [_87897 = _88049, -(p(ap(ap(c_2Emin_2E_3D(_87742), _87897), _88049)))]]]]]]], (422 ^ _75983) ^ [_90778] : [ne(_90778), 425 ^ _75983 : [(426 ^ _75983) ^ [_90912] : [mem(_90912, _90778), 429 ^ _75983 : [(440 ^ _75983) ^ [] : [441 ^ _75983 : [(442 ^ _75983) ^ [] : [-(true___)], (444 ^ _75983) ^ [] : [true___]], -(_90912 = _90912)], (430 ^ _75983) ^ [] : [_90912 = _90912, true___, -(true___)]]]]], (76 ^ _75983) ^ [_78570, _78572] : [_78572 = _78570, -(c_2Emin_2E_3D(_78572) = c_2Emin_2E_3D(_78570))], (30 ^ _75983) ^ [_77074, _77076, _77078, _77080] : [-(mem(_77078, _77074)), mem(_77080, _77076), _77080 = _77078, _77076 = _77074], (283 ^ _75983) ^ [_85951] : [ne(_85951), -(ne(ty_2Ebool_2Eitself(_85951)))], (454 ^ _75983) ^ [] : [ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))) = ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__negate(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))))], (325 ^ _75983) ^ [] : [-(mem(c_2Ebool_2ET, bool))], (251 ^ _75983) ^ [] : [-(mem(c_2Erealax_2Ereal__neg, arr(ty_2Erealax_2Ereal, ty_2Erealax_2Ereal)))]], input).
% 257.51/248.95 ncf('1',plain,[ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))) = ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__negate(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))))],start(454 ^ 0)).
% 257.51/248.95 ncf('1.1',plain,[-(ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))) = ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__negate(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))))), ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__negate(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))) = ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))],extension(4 ^ 1,bind([[_76234, _76236], [ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))), ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__negate(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))))]]))).
% 257.51/248.95 ncf('1.1.1',plain,[-(ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__negate(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))) = ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))), ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__negate(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))) = ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))), ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))) = ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))],extension(10 ^ 2,bind([[_76438, _76440, _76442], [ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))), ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))), ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__negate(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))))]]))).
% 257.51/248.95 ncf('1.1.1.1',plain,[-(ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__negate(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))) = ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))))), 400 : mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))), ty_2Ebinary__ieee_2Efloat(447 ^ [], 450 ^ [])), 400 : ne(450 ^ []), 396 : ne(447 ^ [])],extension(392 ^ 3,bind([[_89674, _89839, _90000], [447 ^ [], 450 ^ [], ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))]]))).
% 257.51/248.95 ncf('1.1.1.1.1',plain,[-(mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))), ty_2Ebinary__ieee_2Efloat(447 ^ [], 450 ^ []))), 192 : mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])), ty_2Ebool_2Eitself(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))), 192 : mem(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])), ty_2Ebinary__ieee_2Efloat(447 ^ [], 450 ^ [])))],extension(188 ^ 8,bind([[_82591, _82593, _82595, _82741], [c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), ty_2Ebinary__ieee_2Efloat(447 ^ [], 450 ^ []), ty_2Ebool_2Eitself(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))]]))).
% 257.51/248.95 ncf('1.1.1.1.1.1',plain,[-(mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])), ty_2Ebool_2Eitself(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))), ne(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))],extension(309 ^ 11,bind([[_86872], [ty_2Epair_2Eprod(447 ^ [], 450 ^ [])]]))).
% 257.51/248.95 ncf('1.1.1.1.1.1.1',plain,[-(ne(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))), 277 : ne(450 ^ []), 277 : ne(447 ^ [])],extension(273 ^ 12,bind([[_85614, _85746], [447 ^ [], 450 ^ []]]))).
% 257.51/248.95 ncf('1.1.1.1.1.1.1.1',plain,[-(ne(450 ^ []))],extension(452 ^ 15)).
% 257.51/248.95 ncf('1.1.1.1.1.1.1.2',plain,[-(ne(447 ^ []))],extension(449 ^ 13)).
% 257.51/248.95 ncf('1.1.1.1.1.2',plain,[-(mem(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])), ty_2Ebinary__ieee_2Efloat(447 ^ [], 450 ^ [])))), 293 : ne(450 ^ []), 293 : ne(447 ^ [])],extension(289 ^ 9,bind([[_86141, _86285], [447 ^ [], 450 ^ []]]))).
% 257.51/248.95 ncf('1.1.1.1.1.2.1',plain,[-(ne(450 ^ []))],extension(452 ^ 12)).
% 257.51/248.95 ncf('1.1.1.1.1.2.2',plain,[-(ne(447 ^ []))],extension(449 ^ 10)).
% 257.51/248.95 ncf('1.1.1.1.2',plain,[-(ne(450 ^ []))],extension(452 ^ 6)).
% 257.51/248.95 ncf('1.1.1.1.3',plain,[-(ne(447 ^ []))],extension(449 ^ 4)).
% 257.51/248.95 ncf('1.1.1.2',plain,[-(ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))) = ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))), ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))) = ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))))],extension(4 ^ 3,bind([[_76234, _76236], [ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))), ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))]]))).
% 257.51/248.95 ncf('1.1.1.2.1',plain,[-(ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))) = ap(c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))))), c_2Erealax_2Ereal__neg = c_2Erealax_2Ereal__neg, ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))) = ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))],extension(138 ^ 4,bind([[_80829, _80831, _80833, _80835], [ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ [])))), ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))), c_2Erealax_2Ereal__neg, c_2Erealax_2Ereal__neg]]))).
% 257.51/248.95 ncf('1.1.1.2.1.1',plain,[-(c_2Erealax_2Ereal__neg = c_2Erealax_2Ereal__neg)],extension(2 ^ 5,bind([[_76127], [c_2Erealax_2Ereal__neg]]))).
% 257.51/248.95 ncf('1.1.1.2.1.2',plain,[-(ap(c_2Ebinary__ieee_2Eulp(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))) = ap(c_2Ebinary__ieee_2Efloat__to__real(447 ^ [], 450 ^ []), ap(c_2Ebinary__ieee_2Efloat__plus__min(447 ^ [], 450 ^ []), c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(447 ^ [], 450 ^ []))))), 410 : ne(450 ^ []), 410 : ne(447 ^ [])],extension(406 ^ 5,bind([[_90264, _90422], [447 ^ [], 450 ^ []]]))).
% 257.51/248.95 ncf('1.1.1.2.1.2.1',plain,[-(ne(450 ^ []))],extension(452 ^ 8)).
% 257.51/248.95 ncf('1.1.1.2.1.2.2',plain,[-(ne(447 ^ []))],extension(449 ^ 6)).
% 257.51/248.95 %-----------------------------------------------------
% 257.51/248.95 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------