%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV028+1 : TPTP v8.1.2. Bugfixed 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 12:19:48 EDT 2023

% Result   : Theorem 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV028+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n023.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 : Fri May 19 02:42:14 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(1141 ^ _233095) ^ [] : [init = init, s_best7_init = init, s_sworst7_init = init, s_worst7_init = init, leq(n0, s_best7), leq(n0, s_sworst7), leq(n0, s_worst7), leq(n0, pv1376), leq(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), leq(pv1376, n3), 1191 ^ _233095 : [(1192 ^ _233095) ^ [] : [-(leq(n0, 1190 ^ []))], (1194 ^ _233095) ^ [] : [-(leq(1190 ^ [], n2))], (1197 ^ _233095) ^ [] : [-(leq(n0, 1195 ^ []))], (1199 ^ _233095) ^ [] : [-(leq(1195 ^ [], n3))], (1201 ^ _233095) ^ [] : [a_select3(simplex7_init, 1195 ^ [], 1190 ^ []) = init]], 1205 ^ _233095 : [(1206 ^ _233095) ^ [] : [-(leq(n0, 1204 ^ []))], (1208 ^ _233095) ^ [] : [-(leq(1204 ^ [], n3))], (1210 ^ _233095) ^ [] : [a_select2(s_values7_init, 1204 ^ []) = init]], 1214 ^ _233095 : [(1215 ^ _233095) ^ [] : [-(leq(n0, 1213 ^ []))], (1217 ^ _233095) ^ [] : [-(leq(1213 ^ [], n2))], (1219 ^ _233095) ^ [] : [a_select2(s_center7_init, 1213 ^ []) = init]], 1223 ^ _233095 : [(1224 ^ _233095) ^ [] : [-(leq(n0, 1222 ^ []))], (1226 ^ _233095) ^ [] : [-(leq(1222 ^ [], minus(n3, n1)))], (1228 ^ _233095) ^ [] : [a_select2(s_try7_init, 1222 ^ []) = init]], 1229 ^ _233095 : [(1230 ^ _233095) ^ [] : [-(gt(loopcounter, n1))], (1232 ^ _233095) ^ [] : [pvar1400_init = init, pvar1401_init = init, pvar1402_init = init]]], (1055 ^ _233095) ^ [] : [-(init = init)], (1057 ^ _233095) ^ [] : [-(s_best7_init = init)], (1059 ^ _233095) ^ [] : [-(s_sworst7_init = init)], (1061 ^ _233095) ^ [] : [-(s_worst7_init = init)], (1063 ^ _233095) ^ [] : [-(leq(n0, s_best7))], (1065 ^ _233095) ^ [] : [-(leq(n0, s_sworst7))], (1067 ^ _233095) ^ [] : [-(leq(n0, s_worst7))], (1069 ^ _233095) ^ [] : [-(leq(n0, pv19))], (1071 ^ _233095) ^ [] : [-(leq(n0, pv1376))], (1073 ^ _233095) ^ [] : [-(leq(s_best7, n3))], (1075 ^ _233095) ^ [] : [-(leq(s_sworst7, n3))], (1077 ^ _233095) ^ [] : [-(leq(s_worst7, n3))], (1079 ^ _233095) ^ [] : [-(leq(pv19, minus(n410, n1)))], (1081 ^ _233095) ^ [] : [-(leq(pv1376, n3))], (1083 ^ _233095) ^ [_274153] : [leq(n0, _274153), leq(_274153, n2), 1090 ^ _233095 : [(1091 ^ _233095) ^ [_274381] : [-(a_select3(simplex7_init, _274381, _274153) = init), leq(n0, _274381), leq(_274381, n3)]]], (1101 ^ _233095) ^ [_274683] : [-(a_select2(s_values7_init, _274683) = init), leq(n0, _274683), leq(_274683, n3)], (1111 ^ _233095) ^ [_274964] : [-(a_select2(s_center7_init, _274964) = init), leq(n0, _274964), leq(_274964, n2)], (1131 ^ _233095) ^ [] : [gt(loopcounter, n1), 1134 ^ _233095 : [(1135 ^ _233095) ^ [] : [-(pvar1400_init = init)], (1137 ^ _233095) ^ [] : [-(pvar1401_init = init)], (1139 ^ _233095) ^ [] : [-(pvar1402_init = init)]]], (1121 ^ _233095) ^ [_275245] : [-(a_select2(s_try7_init, _275245) = init), leq(n0, _275245), leq(_275245, minus(n3, n1))], (2 ^ _233095) ^ [_233239] : [-(_233239 = _233239)], (4 ^ _233095) ^ [_233346, _233348] : [_233348 = _233346, -(_233346 = _233348)], (10 ^ _233095) ^ [_233550, _233552, _233554] : [-(_233554 = _233550), _233554 = _233552, _233552 = _233550], (20 ^ _233095) ^ [_233891, _233893, _233895, _233897] : [-(lt(_233895, _233891)), lt(_233897, _233893), _233897 = _233895, _233893 = _233891], (34 ^ _233095) ^ [_234335, _234337, _234339, _234341] : [-(geq(_234339, _234335)), geq(_234341, _234337), _234341 = _234339, _234337 = _234335], (48 ^ _233095) ^ [_234779, _234781, _234783, _234785] : [-(leq(_234783, _234779)), leq(_234785, _234781), _234785 = _234783, _234781 = _234779], (62 ^ _233095) ^ [_235203, _235205, _235207, _235209] : [-(gt(_235207, _235203)), gt(_235209, _235205), _235209 = _235207, _235205 = _235203], (76 ^ _233095) ^ [_235659, _235661, _235663, _235665] : [-(uniform_int_rnd(_235665, _235661) = uniform_int_rnd(_235663, _235659)), _235665 = _235663, _235661 = _235659], (86 ^ _233095) ^ [_236018, _236020, _236022, _236024] : [-(tptp_const_array1(_236024, _236020) = tptp_const_array1(_236022, _236018)), _236024 = _236022, _236020 = _236018], (96 ^ _233095) ^ [_236405, _236407, _236409, _236411, _236413, _236415] : [-(tptp_const_array2(_236415, _236411, _236407) = tptp_const_array2(_236413, _236409, _236405)), _236415 = _236413, _236411 = _236409, _236407 = _236405], (110 ^ _233095) ^ [_236893, _236895, _236897, _236899] : [-(dim(_236899, _236895) = dim(_236897, _236893)), _236899 = _236897, _236895 = _236893], (120 ^ _233095) ^ [_237224, _237226] : [_237226 = _237224, -(inv(_237226) = inv(_237224))], (126 ^ _233095) ^ [_237470, _237472, _237474, _237476] : [-(tptp_msub(_237476, _237472) = tptp_msub(_237474, _237470)), _237476 = _237474, _237472 = _237470], (136 ^ _233095) ^ [_237829, _237831, _237833, _237835] : [-(tptp_madd(_237835, _237831) = tptp_madd(_237833, _237829)), _237835 = _237833, _237831 = _237829], (146 ^ _233095) ^ [_238188, _238190, _238192, _238194] : [-(tptp_mmul(_238194, _238190) = tptp_mmul(_238192, _238188)), _238194 = _238192, _238190 = _238188], (156 ^ _233095) ^ [_238519, _238521] : [_238521 = _238519, -(trans(_238521) = trans(_238519))], (162 ^ _233095) ^ [_238793, _238795, _238797, _238799, _238801, _238803] : [-(sum(_238803, _238799, _238795) = sum(_238801, _238797, _238793)), _238803 = _238801, _238799 = _238797, _238795 = _238793], (176 ^ _233095) ^ [_239281, _239283, _239285, _239287] : [-(plus(_239287, _239283) = plus(_239285, _239281)), _239287 = _239285, _239283 = _239281], (186 ^ _233095) ^ [_239612, _239614] : [_239614 = _239612, -(pred(_239614) = pred(_239612))], (192 ^ _233095) ^ [_239914, _239916, _239918, _239920, _239922, _239924, _239926, _239928] : [-(tptp_update3(_239928, _239924, _239920, _239916) = tptp_update3(_239926, _239922, _239918, _239914)), _239928 = _239926, _239924 = _239922, _239920 = _239918, _239916 = _239914], (210 ^ _233095) ^ [_240575, _240577, _240579, _240581, _240583, _240585] : [-(tptp_update2(_240585, _240581, _240577) = tptp_update2(_240583, _240579, _240575)), _240585 = _240583, _240581 = _240579, _240577 = _240575], (224 ^ _233095) ^ [_241035, _241037] : [_241037 = _241035, -(succ(_241037) = succ(_241035))], (230 ^ _233095) ^ [_241309, _241311, _241313, _241315, _241317, _241319] : [-(a_select3(_241319, _241315, _241311) = a_select3(_241317, _241313, _241309)), _241319 = _241317, _241315 = _241313, _241311 = _241309], (244 ^ _233095) ^ [_241797, _241799, _241801, _241803] : [-(minus(_241803, _241799) = minus(_241801, _241797)), _241803 = _241801, _241799 = _241797], (254 ^ _233095) ^ [_242136, _242138, _242140, _242142] : [-(a_select2(_242142, _242138) = a_select2(_242140, _242136)), _242142 = _242140, _242138 = _242136], (869 ^ _233095) ^ [] : [-(gt(n5, n4))], (871 ^ _233095) ^ [] : [-(gt(n410, n4))], (873 ^ _233095) ^ [] : [-(gt(n410, n5))], (875 ^ _233095) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _233095) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _233095) ^ [] : [-(gt(n410, tptp_minus_1))], (881 ^ _233095) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _233095) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _233095) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _233095) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _233095) ^ [] : [-(gt(n4, n0))], (891 ^ _233095) ^ [] : [-(gt(n5, n0))], (893 ^ _233095) ^ [] : [-(gt(n410, n0))], (895 ^ _233095) ^ [] : [-(gt(n1, n0))], (897 ^ _233095) ^ [] : [-(gt(n2, n0))], (899 ^ _233095) ^ [] : [-(gt(n3, n0))], (901 ^ _233095) ^ [] : [-(gt(n4, n1))], (903 ^ _233095) ^ [] : [-(gt(n5, n1))], (905 ^ _233095) ^ [] : [-(gt(n410, n1))], (907 ^ _233095) ^ [] : [-(gt(n2, n1))], (909 ^ _233095) ^ [] : [-(gt(n3, n1))], (911 ^ _233095) ^ [] : [-(gt(n4, n2))], (913 ^ _233095) ^ [] : [-(gt(n5, n2))], (915 ^ _233095) ^ [] : [-(gt(n410, n2))], (917 ^ _233095) ^ [] : [-(gt(n3, n2))], (919 ^ _233095) ^ [] : [-(gt(n4, n3))], (921 ^ _233095) ^ [] : [-(gt(n5, n3))], (923 ^ _233095) ^ [] : [-(gt(n410, n3))], (925 ^ _233095) ^ [_269976] : [leq(n0, _269976), leq(_269976, n4), -(_269976 = n0), -(_269976 = n1), -(_269976 = n2), -(_269976 = n3), -(_269976 = n4)], (951 ^ _233095) ^ [_270597] : [leq(n0, _270597), leq(_270597, n5), -(_270597 = n0), -(_270597 = n1), -(_270597 = n2), -(_270597 = n3), -(_270597 = n4), -(_270597 = n5)], (981 ^ _233095) ^ [_271304] : [-(_271304 = n0), leq(n0, _271304), leq(_271304, n0)], (991 ^ _233095) ^ [_271579] : [leq(n0, _271579), leq(_271579, n1), -(_271579 = n0), -(_271579 = n1)], (1005 ^ _233095) ^ [_271942] : [leq(n0, _271942), leq(_271942, n2), -(_271942 = n0), -(_271942 = n1), -(_271942 = n2)], (1045 ^ _233095) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _233095) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _233095) ^ [] : [-(succ(n0) = n1)], (1051 ^ _233095) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _233095) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _233095) ^ [_272391] : [leq(n0, _272391), leq(_272391, n3), -(_272391 = n0), -(_272391 = n1), -(_272391 = n2), -(_272391 = n3)], (264 ^ _233095) ^ [_242567, _242569] : [-(gt(_242569, _242567)), -(gt(_242567, _242569)), -(_242569 = _242567)], (274 ^ _233095) ^ [_242882, _242884, _242886] : [-(gt(_242886, _242882)), gt(_242886, _242884), gt(_242884, _242882)], (284 ^ _233095) ^ [_243161] : [gt(_243161, _243161)], (286 ^ _233095) ^ [_243239] : [-(leq(_243239, _243239))], (288 ^ _233095) ^ [_243360, _243362, _243364] : [-(leq(_243364, _243360)), leq(_243364, _243362), leq(_243362, _243360)], (298 ^ _233095) ^ [_243698, _243700] : [lt(_243700, _243698), -(gt(_243698, _243700))], (304 ^ _233095) ^ [_243860, _243862] : [gt(_243860, _243862), -(lt(_243862, _243860))], (310 ^ _233095) ^ [_244101, _244103] : [geq(_244103, _244101), -(leq(_244101, _244103))], (316 ^ _233095) ^ [_244263, _244265] : [leq(_244263, _244265), -(geq(_244265, _244263))], (322 ^ _233095) ^ [_244475, _244477] : [gt(_244475, _244477), -(leq(_244477, _244475))], (328 ^ _233095) ^ [_244685, _244687] : [-(gt(_244685, _244687)), leq(_244687, _244685), -(_244687 = _244685)], (338 ^ _233095) ^ [_245016, _245018] : [leq(_245018, pred(_245016)), -(gt(_245016, _245018))], (344 ^ _233095) ^ [_245182, _245184] : [gt(_245182, _245184), -(leq(_245184, pred(_245182)))], (350 ^ _233095) ^ [_245369] : [-(gt(succ(_245369), _245369))], (352 ^ _233095) ^ [_245478, _245480] : [leq(_245480, _245478), -(leq(_245480, succ(_245478)))], (358 ^ _233095) ^ [_245721, _245723] : [leq(_245723, _245721), -(gt(succ(_245721), _245723))], (364 ^ _233095) ^ [_245887, _245889] : [gt(succ(_245887), _245889), -(leq(_245889, _245887))], (370 ^ _233095) ^ [_246103, _246105] : [leq(n0, _246105), -(leq(uniform_int_rnd(_246103, _246105), _246105))], (376 ^ _233095) ^ [_246319, _246321] : [leq(n0, _246321), -(leq(n0, uniform_int_rnd(_246319, _246321)))], (382 ^ _233095) ^ [_246563, _246565, _246567, _246569] : [-(a_select2(tptp_const_array1(dim(_246567, _246565), _246563), _246569) = _246563), leq(_246567, _246569), leq(_246569, _246565)], (392 ^ _233095) ^ [_246970, _246972, _246974, _246976, _246978, _246980, _246982] : [-(a_select3(tptp_const_array2(dim(_246980, _246978), dim(_246974, _246972), _246970), _246982, _246976) = _246970), leq(_246980, _246982), leq(_246982, _246978), leq(_246974, _246976), leq(_246976, _246972)], (410 ^ _233095) ^ [_247565, _247567] : [413 ^ _233095 : [(414 ^ _233095) ^ [] : [-(leq(n0, 411 ^ [_247565, _247567]))], (416 ^ _233095) ^ [] : [-(leq(411 ^ [_247565, _247567], _247565))], (418 ^ _233095) ^ [] : [-(leq(n0, 412 ^ [_247565, _247567]))], (420 ^ _233095) ^ [] : [-(leq(412 ^ [_247565, _247567], _247565))], (422 ^ _233095) ^ [] : [a_select3(_247567, 411 ^ [_247565, _247567], 412 ^ [_247565, _247567]) = a_select3(_247567, 412 ^ [_247565, _247567], 411 ^ [_247565, _247567])]], 423 ^ _233095 : [(424 ^ _233095) ^ [_248322, _248324] : [-(a_select3(trans(_247567), _248324, _248322) = a_select3(trans(_247567), _248322, _248324)), leq(n0, _248324), leq(_248324, _247565), leq(n0, _248322), leq(_248322, _247565)]]], (442 ^ _233095) ^ [_248869, _248871] : [445 ^ _233095 : [(446 ^ _233095) ^ [] : [-(leq(n0, 443 ^ [_248869, _248871]))], (448 ^ _233095) ^ [] : [-(leq(443 ^ [_248869, _248871], _248869))], (450 ^ _233095) ^ [] : [-(leq(n0, 444 ^ [_248869, _248871]))], (452 ^ _233095) ^ [] : [-(leq(444 ^ [_248869, _248871], _248869))], (454 ^ _233095) ^ [] : [a_select3(_248871, 443 ^ [_248869, _248871], 444 ^ [_248869, _248871]) = a_select3(_248871, 444 ^ [_248869, _248871], 443 ^ [_248869, _248871])]], 455 ^ _233095 : [(456 ^ _233095) ^ [_249626, _249628] : [-(a_select3(inv(_248871), _249628, _249626) = a_select3(inv(_248871), _249626, _249628)), leq(n0, _249628), leq(_249628, _248869), leq(n0, _249626), leq(_249626, _248869)]]], (474 ^ _233095) ^ [_250173, _250175] : [477 ^ _233095 : [(478 ^ _233095) ^ [] : [-(leq(n0, 475 ^ [_250173, _250175]))], (480 ^ _233095) ^ [] : [-(leq(475 ^ [_250173, _250175], _250173))], (482 ^ _233095) ^ [] : [-(leq(n0, 476 ^ [_250173, _250175]))], (484 ^ _233095) ^ [] : [-(leq(476 ^ [_250173, _250175], _250173))], (486 ^ _233095) ^ [] : [a_select3(_250175, 475 ^ [_250173, _250175], 476 ^ [_250173, _250175]) = a_select3(_250175, 476 ^ [_250173, _250175], 475 ^ [_250173, _250175])]], 487 ^ _233095 : [(488 ^ _233095) ^ [_250986, _250988, _250990, _250992] : [-(a_select3(tptp_update3(_250175, _250988, _250988, _250986), _250992, _250990) = a_select3(tptp_update3(_250175, _250988, _250988, _250986), _250990, _250992)), leq(n0, _250992), leq(_250992, _250173), leq(n0, _250990), leq(_250990, _250173), leq(n0, _250988), leq(_250988, _250173)]]], (514 ^ _233095) ^ [_251805, _251807, _251809] : [519 ^ _233095 : [(520 ^ _233095) ^ [] : [-(leq(n0, 517 ^ [_251805, _251807, _251809]))], (522 ^ _233095) ^ [] : [-(leq(517 ^ [_251805, _251807, _251809], _251805))], (524 ^ _233095) ^ [] : [-(leq(n0, 518 ^ [_251805, _251807, _251809]))], (526 ^ _233095) ^ [] : [-(leq(518 ^ [_251805, _251807, _251809], _251805))], (528 ^ _233095) ^ [] : [a_select3(_251809, 517 ^ [_251805, _251807, _251809], 518 ^ [_251805, _251807, _251809]) = a_select3(_251809, 518 ^ [_251805, _251807, _251809], 517 ^ [_251805, _251807, _251809])]], 531 ^ _233095 : [(532 ^ _233095) ^ [] : [-(leq(n0, 529 ^ [_251805, _251807, _251809]))], (534 ^ _233095) ^ [] : [-(leq(529 ^ [_251805, _251807, _251809], _251805))], (536 ^ _233095) ^ [] : [-(leq(n0, 530 ^ [_251805, _251807, _251809]))], (538 ^ _233095) ^ [] : [-(leq(530 ^ [_251805, _251807, _251809], _251805))], (540 ^ _233095) ^ [] : [a_select3(_251807, 529 ^ [_251805, _251807, _251809], 530 ^ [_251805, _251807, _251809]) = a_select3(_251807, 530 ^ [_251805, _251807, _251809], 529 ^ [_251805, _251807, _251809])]], 541 ^ _233095 : [(542 ^ _233095) ^ [_253314, _253316] : [-(a_select3(tptp_madd(_251809, _251807), _253316, _253314) = a_select3(tptp_madd(_251809, _251807), _253314, _253316)), leq(n0, _253316), leq(_253316, _251805), leq(n0, _253314), leq(_253314, _251805)]]], (560 ^ _233095) ^ [_253900, _253902, _253904] : [565 ^ _233095 : [(566 ^ _233095) ^ [] : [-(leq(n0, 563 ^ [_253900, _253902, _253904]))], (568 ^ _233095) ^ [] : [-(leq(563 ^ [_253900, _253902, _253904], _253900))], (570 ^ _233095) ^ [] : [-(leq(n0, 564 ^ [_253900, _253902, _253904]))], (572 ^ _233095) ^ [] : [-(leq(564 ^ [_253900, _253902, _253904], _253900))], (574 ^ _233095) ^ [] : [a_select3(_253904, 563 ^ [_253900, _253902, _253904], 564 ^ [_253900, _253902, _253904]) = a_select3(_253904, 564 ^ [_253900, _253902, _253904], 563 ^ [_253900, _253902, _253904])]], 577 ^ _233095 : [(578 ^ _233095) ^ [] : [-(leq(n0, 575 ^ [_253900, _253902, _253904]))], (580 ^ _233095) ^ [] : [-(leq(575 ^ [_253900, _253902, _253904], _253900))], (582 ^ _233095) ^ [] : [-(leq(n0, 576 ^ [_253900, _253902, _253904]))], (584 ^ _233095) ^ [] : [-(leq(576 ^ [_253900, _253902, _253904], _253900))], (586 ^ _233095) ^ [] : [a_select3(_253902, 575 ^ [_253900, _253902, _253904], 576 ^ [_253900, _253902, _253904]) = a_select3(_253902, 576 ^ [_253900, _253902, _253904], 575 ^ [_253900, _253902, _253904])]], 587 ^ _233095 : [(588 ^ _233095) ^ [_255409, _255411] : [-(a_select3(tptp_msub(_253904, _253902), _255411, _255409) = a_select3(tptp_msub(_253904, _253902), _255409, _255411)), leq(n0, _255411), leq(_255411, _253900), leq(n0, _255409), leq(_255409, _253900)]]], (606 ^ _233095) ^ [_255995, _255997, _255999] : [609 ^ _233095 : [(610 ^ _233095) ^ [] : [-(leq(n0, 607 ^ [_255995, _255997, _255999]))], (612 ^ _233095) ^ [] : [-(leq(607 ^ [_255995, _255997, _255999], _255995))], (614 ^ _233095) ^ [] : [-(leq(n0, 608 ^ [_255995, _255997, _255999]))], (616 ^ _233095) ^ [] : [-(leq(608 ^ [_255995, _255997, _255999], _255995))], (618 ^ _233095) ^ [] : [a_select3(_255997, 607 ^ [_255995, _255997, _255999], 608 ^ [_255995, _255997, _255999]) = a_select3(_255997, 608 ^ [_255995, _255997, _255999], 607 ^ [_255995, _255997, _255999])]], 619 ^ _233095 : [(620 ^ _233095) ^ [_256808, _256810] : [-(a_select3(tptp_mmul(_255999, tptp_mmul(_255997, trans(_255999))), _256810, _256808) = a_select3(tptp_mmul(_255999, tptp_mmul(_255997, trans(_255999))), _256808, _256810)), leq(n0, _256810), leq(_256810, _255995), leq(n0, _256808), leq(_256808, _255995)]]], (638 ^ _233095) ^ [_257427, _257429, _257431, _257433] : [641 ^ _233095 : [(642 ^ _233095) ^ [] : [-(leq(n0, 639 ^ [_257427, _257429, _257431, _257433]))], (644 ^ _233095) ^ [] : [-(leq(639 ^ [_257427, _257429, _257431, _257433], _257427))], (646 ^ _233095) ^ [] : [-(leq(n0, 640 ^ [_257427, _257429, _257431, _257433]))], (648 ^ _233095) ^ [] : [-(leq(640 ^ [_257427, _257429, _257431, _257433], _257427))], (650 ^ _233095) ^ [] : [a_select3(_257431, 639 ^ [_257427, _257429, _257431, _257433], 640 ^ [_257427, _257429, _257431, _257433]) = a_select3(_257431, 640 ^ [_257427, _257429, _257431, _257433], 639 ^ [_257427, _257429, _257431, _257433])]], 651 ^ _233095 : [(652 ^ _233095) ^ [_258284, _258286] : [-(a_select3(tptp_mmul(_257433, tptp_mmul(_257431, trans(_257433))), _258286, _258284) = a_select3(tptp_mmul(_257433, tptp_mmul(_257431, trans(_257433))), _258284, _258286)), leq(n0, _258286), leq(_258286, _257429), leq(n0, _258284), leq(_258284, _257429)]]], (670 ^ _233095) ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993] : [675 ^ _233095 : [(676 ^ _233095) ^ [] : [-(leq(n0, 673 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993]))], (678 ^ _233095) ^ [] : [-(leq(673 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], _258979))], (680 ^ _233095) ^ [] : [-(leq(n0, 674 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993]))], (682 ^ _233095) ^ [] : [-(leq(674 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], _258979))], (684 ^ _233095) ^ [] : [a_select3(_258987, 673 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], 674 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993]) = a_select3(_258987, 674 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], 673 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993])]], 689 ^ _233095 : [(690 ^ _233095) ^ [] : [-(leq(n0, 687 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993]))], (692 ^ _233095) ^ [] : [-(leq(687 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], _258981))], (694 ^ _233095) ^ [] : [-(leq(n0, 688 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993]))], (696 ^ _233095) ^ [] : [-(leq(688 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], _258981))], (698 ^ _233095) ^ [] : [a_select3(_258993, 687 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], 688 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993]) = a_select3(_258993, 688 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], 687 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993])]], 701 ^ _233095 : [(702 ^ _233095) ^ [] : [-(leq(n0, 699 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993]))], (704 ^ _233095) ^ [] : [-(leq(699 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], _258981))], (706 ^ _233095) ^ [] : [-(leq(n0, 700 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993]))], (708 ^ _233095) ^ [] : [-(leq(700 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], _258981))], (710 ^ _233095) ^ [] : [a_select3(_258983, 699 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], 700 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993]) = a_select3(_258983, 700 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993], 699 ^ [_258979, _258981, _258983, _258985, _258987, _258989, _258991, _258993])]], 711 ^ _233095 : [(712 ^ _233095) ^ [_261907, _261909] : [-(a_select3(tptp_madd(_258993, tptp_mmul(_258991, tptp_mmul(tptp_madd(tptp_mmul(_258989, tptp_mmul(_258987, trans(_258989))), tptp_mmul(_258985, tptp_mmul(_258983, trans(_258985)))), trans(_258991)))), _261909, _261907) = a_select3(tptp_madd(_258993, tptp_mmul(_258991, tptp_mmul(tptp_madd(tptp_mmul(_258989, tptp_mmul(_258987, trans(_258989))), tptp_mmul(_258985, tptp_mmul(_258983, trans(_258985)))), trans(_258991)))), _261907, _261909)), leq(n0, _261909), leq(_261909, _258981), leq(n0, _261907), leq(_261907, _258981)]]], (730 ^ _233095) ^ [_262660] : [-(sum(n0, tptp_minus_1, _262660) = n0)], (732 ^ _233095) ^ [_262742] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _262742))], (734 ^ _233095) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _233095) ^ [_262877] : [-(plus(_262877, n1) = succ(_262877))], (738 ^ _233095) ^ [_262960] : [-(plus(n1, _262960) = succ(_262960))], (740 ^ _233095) ^ [_263043] : [-(plus(_263043, n2) = succ(succ(_263043)))], (742 ^ _233095) ^ [_263128] : [-(plus(n2, _263128) = succ(succ(_263128)))], (744 ^ _233095) ^ [_263213] : [-(plus(_263213, n3) = succ(succ(succ(_263213))))], (746 ^ _233095) ^ [_263300] : [-(plus(n3, _263300) = succ(succ(succ(_263300))))], (748 ^ _233095) ^ [_263387] : [-(plus(_263387, n4) = succ(succ(succ(succ(_263387)))))], (750 ^ _233095) ^ [_263476] : [-(plus(n4, _263476) = succ(succ(succ(succ(_263476)))))], (752 ^ _233095) ^ [_263565] : [-(plus(_263565, n5) = succ(succ(succ(succ(succ(_263565))))))], (754 ^ _233095) ^ [_263656] : [-(plus(n5, _263656) = succ(succ(succ(succ(succ(_263656))))))], (756 ^ _233095) ^ [_263747] : [-(minus(_263747, n1) = pred(_263747))], (758 ^ _233095) ^ [_263830] : [-(pred(succ(_263830)) = _263830)], (760 ^ _233095) ^ [_263912] : [-(succ(pred(_263912)) = _263912)], (762 ^ _233095) ^ [_264052, _264054] : [leq(succ(_264054), succ(_264052)), -(leq(_264054, _264052))], (768 ^ _233095) ^ [_264222, _264224] : [leq(_264224, _264222), -(leq(succ(_264224), succ(_264222)))], (774 ^ _233095) ^ [_264442, _264444] : [leq(succ(_264444), _264442), -(gt(_264442, _264444))], (780 ^ _233095) ^ [_264656, _264658] : [leq(minus(_264658, _264656), _264658), -(leq(n0, _264656))], (786 ^ _233095) ^ [_264885, _264887, _264889, _264891] : [-(a_select3(tptp_update3(_264891, _264889, _264887, _264885), _264889, _264887) = _264885)], (788 ^ _233095) ^ [_265077, _265079, _265081, _265083, _265085, _265087, _265089] : [-(a_select3(tptp_update3(_265081, _265089, _265087, _265077), _265085, _265083) = _265079), -(_265089 = _265085), _265087 = _265083, a_select3(_265081, _265085, _265083) = _265079], (802 ^ _233095) ^ [_265620, _265622, _265624, _265626, _265628, _265630] : [-(a_select3(tptp_update3(_265622, _265626, _265624, _265620), _265630, _265628) = _265620), 807 ^ _233095 : [(808 ^ _233095) ^ [] : [-(leq(n0, 805 ^ [_265620, _265622, _265624, _265626, _265628, _265630]))], (810 ^ _233095) ^ [] : [-(leq(n0, 806 ^ [_265620, _265622, _265624, _265626, _265628, _265630]))], (812 ^ _233095) ^ [] : [-(leq(805 ^ [_265620, _265622, _265624, _265626, _265628, _265630], _265626))], (814 ^ _233095) ^ [] : [-(leq(806 ^ [_265620, _265622, _265624, _265626, _265628, _265630], _265624))], (816 ^ _233095) ^ [] : [a_select3(_265622, 805 ^ [_265620, _265622, _265624, _265626, _265628, _265630], 806 ^ [_265620, _265622, _265624, _265626, _265628, _265630]) = _265620]], leq(n0, _265630), leq(_265630, _265626), leq(n0, _265628), leq(_265628, _265624)], (834 ^ _233095) ^ [_266962, _266964, _266966] : [-(a_select2(tptp_update2(_266966, _266964, _266962), _266964) = _266962)], (836 ^ _233095) ^ [_267122, _267124, _267126, _267128, _267130] : [-(a_select2(tptp_update2(_267126, _267130, _267122), _267128) = _267124), -(_267130 = _267128), a_select2(_267126, _267128) = _267124], (865 ^ _233095) ^ [] : [-(true)], (867 ^ _233095) ^ [] : [def = use], (846 ^ _233095) ^ [_267502, _267504, _267506, _267508] : [-(a_select2(tptp_update2(_267504, _267506, _267502), _267508) = _267502), 850 ^ _233095 : [(851 ^ _233095) ^ [] : [-(leq(n0, 849 ^ [_267502, _267504, _267506, _267508]))], (853 ^ _233095) ^ [] : [-(leq(849 ^ [_267502, _267504, _267506, _267508], _267506))], (855 ^ _233095) ^ [] : [a_select2(_267504, 849 ^ [_267502, _267504, _267506, _267508]) = _267502]], leq(n0, _267508), leq(_267508, _267506)]], input).
% 0.34/1.38  ncf('1',plain,[init = init, s_best7_init = init, s_sworst7_init = init, s_worst7_init = init, leq(n0, s_best7), leq(n0, s_sworst7), leq(n0, s_worst7), leq(n0, pv1376), leq(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), leq(pv1376, n3), 1201 : a_select3(simplex7_init, 1195 ^ [], 1190 ^ []) = init, 1210 : a_select2(s_values7_init, 1204 ^ []) = init, 1219 : a_select2(s_center7_init, 1213 ^ []) = init, 1228 : a_select2(s_try7_init, 1222 ^ []) = init, 1232 : pvar1400_init = init, 1232 : pvar1401_init = init, 1232 : pvar1402_init = init],start(1141 ^ 0)).
% 0.34/1.38  ncf('1.1',plain,[-(init = init)],extension(1055 ^ 1)).
% 0.34/1.38  ncf('1.2',plain,[-(s_best7_init = init)],extension(1057 ^ 1)).
% 0.34/1.38  ncf('1.3',plain,[-(s_sworst7_init = init)],extension(1059 ^ 1)).
% 0.34/1.38  ncf('1.4',plain,[-(s_worst7_init = init)],extension(1061 ^ 1)).
% 0.34/1.38  ncf('1.5',plain,[-(leq(n0, s_best7))],extension(1063 ^ 1)).
% 0.34/1.38  ncf('1.6',plain,[-(leq(n0, s_sworst7))],extension(1065 ^ 1)).
% 0.34/1.38  ncf('1.7',plain,[-(leq(n0, s_worst7))],extension(1067 ^ 1)).
% 0.34/1.38  ncf('1.8',plain,[-(leq(n0, pv1376))],extension(1071 ^ 1)).
% 0.34/1.38  ncf('1.9',plain,[-(leq(s_best7, n3))],extension(1073 ^ 1)).
% 0.34/1.38  ncf('1.10',plain,[-(leq(s_sworst7, n3))],extension(1075 ^ 1)).
% 0.34/1.38  ncf('1.11',plain,[-(leq(s_worst7, n3))],extension(1077 ^ 1)).
% 0.34/1.38  ncf('1.12',plain,[-(leq(pv1376, n3))],extension(1081 ^ 1)).
% 0.34/1.38  ncf('1.13',plain,[-(a_select3(simplex7_init, 1195 ^ [], 1190 ^ []) = init), 1091 : leq(n0, 1195 ^ []), 1091 : leq(1195 ^ [], n3), 1091 : leq(n0, 1190 ^ []), 1091 : leq(1190 ^ [], n2)],extension(1083 ^ 3,bind([[_274153, _274381], [1190 ^ [], 1195 ^ []]]))).
% 0.34/1.38  ncf('1.13.1',plain,[-(leq(n0, 1195 ^ []))],extension(1197 ^ 6)).
% 0.34/1.38  ncf('1.13.2',plain,[-(leq(1195 ^ [], n3))],extension(1199 ^ 6)).
% 0.34/1.38  ncf('1.13.3',plain,[-(leq(n0, 1190 ^ []))],extension(1192 ^ 4)).
% 0.34/1.38  ncf('1.13.4',plain,[-(leq(1190 ^ [], n2))],extension(1194 ^ 4)).
% 0.34/1.38  ncf('1.14',plain,[-(a_select2(s_values7_init, 1204 ^ []) = init), leq(n0, 1204 ^ []), leq(1204 ^ [], n3)],extension(1101 ^ 3,bind([[_274683], [1204 ^ []]]))).
% 0.34/1.38  ncf('1.14.1',plain,[-(leq(n0, 1204 ^ []))],extension(1206 ^ 4)).
% 0.34/1.38  ncf('1.14.2',plain,[-(leq(1204 ^ [], n3))],extension(1208 ^ 4)).
% 0.34/1.38  ncf('1.15',plain,[-(a_select2(s_center7_init, 1213 ^ []) = init), leq(n0, 1213 ^ []), leq(1213 ^ [], n2)],extension(1111 ^ 3,bind([[_274964], [1213 ^ []]]))).
% 0.34/1.38  ncf('1.15.1',plain,[-(leq(n0, 1213 ^ []))],extension(1215 ^ 4)).
% 0.34/1.38  ncf('1.15.2',plain,[-(leq(1213 ^ [], n2))],extension(1217 ^ 4)).
% 0.34/1.38  ncf('1.16',plain,[-(a_select2(s_try7_init, 1222 ^ []) = init), leq(n0, 1222 ^ []), leq(1222 ^ [], minus(n3, n1))],extension(1121 ^ 3,bind([[_275245], [1222 ^ []]]))).
% 0.34/1.38  ncf('1.16.1',plain,[-(leq(n0, 1222 ^ []))],extension(1224 ^ 4)).
% 0.34/1.38  ncf('1.16.2',plain,[-(leq(1222 ^ [], minus(n3, n1)))],extension(1226 ^ 4)).
% 0.34/1.38  ncf('1.17',plain,[-(pvar1400_init = init), gt(loopcounter, n1)],extension(1131 ^ 3)).
% 0.34/1.38  ncf('1.17.1',plain,[-(gt(loopcounter, n1))],extension(1230 ^ 4)).
% 0.34/1.38  ncf('1.18',plain,[-(pvar1401_init = init), gt(loopcounter, n1)],extension(1131 ^ 3)).
% 0.34/1.38  ncf('1.18.1',plain,[-(gt(loopcounter, n1))],extension(1230 ^ 4)).
% 0.34/1.38  ncf('1.19',plain,[-(pvar1402_init = init), gt(loopcounter, n1)],extension(1131 ^ 3)).
% 0.34/1.38  ncf('1.19.1',plain,[-(gt(loopcounter, n1))],extension(1230 ^ 4)).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------