%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV122+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 12:20:00 EDT 2023

% Result   : Theorem 0.36s 1.38s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV122+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.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 : Fri May 19 02:35:06 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.36/1.38  
% 0.36/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.38  %-----------------------------------------------------
% 0.36/1.38  ncf(matrix, plain, [(1145 ^ _224922) ^ [] : [1148 ^ _224922 : [(1149 ^ _224922) ^ [] : [-(leq(n0, 1146 ^ []))], (1151 ^ _224922) ^ [] : [-(leq(n0, 1147 ^ []))], (1153 ^ _224922) ^ [] : [-(leq(1146 ^ [], minus(n6, n1)))], (1155 ^ _224922) ^ [] : [-(leq(1147 ^ [], minus(n6, n1)))], (1157 ^ _224922) ^ [] : [a_select3(q_ds1_filter, 1146 ^ [], 1147 ^ []) = a_select3(q_ds1_filter, 1147 ^ [], 1146 ^ [])]], 1162 ^ _224922 : [(1163 ^ _224922) ^ [] : [-(leq(n0, 1160 ^ []))], (1165 ^ _224922) ^ [] : [-(leq(n0, 1161 ^ []))], (1167 ^ _224922) ^ [] : [-(leq(1160 ^ [], minus(n3, n1)))], (1169 ^ _224922) ^ [] : [-(leq(1161 ^ [], minus(n3, n1)))], (1171 ^ _224922) ^ [] : [a_select3(r_ds1_filter, 1160 ^ [], 1161 ^ []) = a_select3(r_ds1_filter, 1161 ^ [], 1160 ^ [])]], 1174 ^ _224922 : [(1175 ^ _224922) ^ [] : [-(leq(n0, 1172 ^ []))], (1177 ^ _224922) ^ [] : [-(leq(n0, 1173 ^ []))], (1179 ^ _224922) ^ [] : [-(leq(1172 ^ [], minus(n6, n1)))], (1181 ^ _224922) ^ [] : [-(leq(1173 ^ [], minus(n6, n1)))], (1183 ^ _224922) ^ [] : [a_select3(pminus_ds1_filter, 1172 ^ [], 1173 ^ []) = a_select3(pminus_ds1_filter, 1173 ^ [], 1172 ^ [])]]], (1091 ^ _224922) ^ [_266108, _266110] : [-(a_select3(q_ds1_filter, _266110, _266108) = a_select3(q_ds1_filter, _266108, _266110)), leq(n0, _266110), leq(n0, _266108), leq(_266110, minus(n6, n1)), leq(_266108, minus(n6, n1))], (1109 ^ _224922) ^ [_266601, _266603] : [-(a_select3(r_ds1_filter, _266603, _266601) = a_select3(r_ds1_filter, _266601, _266603)), leq(n0, _266603), leq(n0, _266601), leq(_266603, minus(n3, n1)), leq(_266601, minus(n3, n1))], (1127 ^ _224922) ^ [_267074, _267076] : [-(a_select3(pminus_ds1_filter, _267076, _267074) = a_select3(pminus_ds1_filter, _267074, _267076)), leq(n0, _267076), leq(n0, _267074), leq(_267076, minus(n6, n1)), leq(_267074, minus(n6, n1))], (2 ^ _224922) ^ [_225066] : [-(_225066 = _225066)], (4 ^ _224922) ^ [_225173, _225175] : [_225175 = _225173, -(_225173 = _225175)], (10 ^ _224922) ^ [_225377, _225379, _225381] : [-(_225381 = _225377), _225381 = _225379, _225379 = _225377], (20 ^ _224922) ^ [_225718, _225720, _225722, _225724] : [-(lt(_225722, _225718)), lt(_225724, _225720), _225724 = _225722, _225720 = _225718], (34 ^ _224922) ^ [_226162, _226164, _226166, _226168] : [-(geq(_226166, _226162)), geq(_226168, _226164), _226168 = _226166, _226164 = _226162], (48 ^ _224922) ^ [_226606, _226608, _226610, _226612] : [-(gt(_226610, _226606)), gt(_226612, _226608), _226612 = _226610, _226608 = _226606], (62 ^ _224922) ^ [_227030, _227032, _227034, _227036] : [-(leq(_227034, _227030)), leq(_227036, _227032), _227036 = _227034, _227032 = _227030], (76 ^ _224922) ^ [_227486, _227488, _227490, _227492] : [-(uniform_int_rnd(_227492, _227488) = uniform_int_rnd(_227490, _227486)), _227492 = _227490, _227488 = _227486], (86 ^ _224922) ^ [_227845, _227847, _227849, _227851] : [-(tptp_const_array1(_227851, _227847) = tptp_const_array1(_227849, _227845)), _227851 = _227849, _227847 = _227845], (96 ^ _224922) ^ [_228232, _228234, _228236, _228238, _228240, _228242] : [-(tptp_const_array2(_228242, _228238, _228234) = tptp_const_array2(_228240, _228236, _228232)), _228242 = _228240, _228238 = _228236, _228234 = _228232], (110 ^ _224922) ^ [_228720, _228722, _228724, _228726] : [-(dim(_228726, _228722) = dim(_228724, _228720)), _228726 = _228724, _228722 = _228720], (120 ^ _224922) ^ [_229051, _229053] : [_229053 = _229051, -(inv(_229053) = inv(_229051))], (126 ^ _224922) ^ [_229297, _229299, _229301, _229303] : [-(tptp_msub(_229303, _229299) = tptp_msub(_229301, _229297)), _229303 = _229301, _229299 = _229297], (136 ^ _224922) ^ [_229656, _229658, _229660, _229662] : [-(tptp_madd(_229662, _229658) = tptp_madd(_229660, _229656)), _229662 = _229660, _229658 = _229656], (146 ^ _224922) ^ [_230015, _230017, _230019, _230021] : [-(tptp_mmul(_230021, _230017) = tptp_mmul(_230019, _230015)), _230021 = _230019, _230017 = _230015], (156 ^ _224922) ^ [_230346, _230348] : [_230348 = _230346, -(trans(_230348) = trans(_230346))], (162 ^ _224922) ^ [_230620, _230622, _230624, _230626, _230628, _230630] : [-(sum(_230630, _230626, _230622) = sum(_230628, _230624, _230620)), _230630 = _230628, _230626 = _230624, _230622 = _230620], (176 ^ _224922) ^ [_231108, _231110, _231112, _231114] : [-(plus(_231114, _231110) = plus(_231112, _231108)), _231114 = _231112, _231110 = _231108], (186 ^ _224922) ^ [_231439, _231441] : [_231441 = _231439, -(pred(_231441) = pred(_231439))], (192 ^ _224922) ^ [_231741, _231743, _231745, _231747, _231749, _231751, _231753, _231755] : [-(tptp_update3(_231755, _231751, _231747, _231743) = tptp_update3(_231753, _231749, _231745, _231741)), _231755 = _231753, _231751 = _231749, _231747 = _231745, _231743 = _231741], (210 ^ _224922) ^ [_232374, _232376, _232378, _232380] : [-(a_select2(_232380, _232376) = a_select2(_232378, _232374)), _232380 = _232378, _232376 = _232374], (220 ^ _224922) ^ [_232761, _232763, _232765, _232767, _232769, _232771] : [-(tptp_update2(_232771, _232767, _232763) = tptp_update2(_232769, _232765, _232761)), _232771 = _232769, _232767 = _232765, _232763 = _232761], (234 ^ _224922) ^ [_233221, _233223] : [_233223 = _233221, -(succ(_233223) = succ(_233221))], (240 ^ _224922) ^ [_233467, _233469, _233471, _233473] : [-(minus(_233473, _233469) = minus(_233471, _233467)), _233473 = _233471, _233469 = _233467], (250 ^ _224922) ^ [_233834, _233836, _233838, _233840, _233842, _233844] : [-(a_select3(_233844, _233840, _233836) = a_select3(_233842, _233838, _233834)), _233844 = _233842, _233840 = _233838, _233836 = _233834], (869 ^ _224922) ^ [] : [-(gt(n5, n4))], (871 ^ _224922) ^ [] : [-(gt(n6, n4))], (873 ^ _224922) ^ [] : [-(gt(n6, n5))], (875 ^ _224922) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _224922) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _224922) ^ [] : [-(gt(n6, tptp_minus_1))], (881 ^ _224922) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _224922) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _224922) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _224922) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _224922) ^ [] : [-(gt(n4, n0))], (891 ^ _224922) ^ [] : [-(gt(n5, n0))], (893 ^ _224922) ^ [] : [-(gt(n6, n0))], (895 ^ _224922) ^ [] : [-(gt(n1, n0))], (897 ^ _224922) ^ [] : [-(gt(n2, n0))], (899 ^ _224922) ^ [] : [-(gt(n3, n0))], (901 ^ _224922) ^ [] : [-(gt(n4, n1))], (903 ^ _224922) ^ [] : [-(gt(n5, n1))], (905 ^ _224922) ^ [] : [-(gt(n6, n1))], (907 ^ _224922) ^ [] : [-(gt(n2, n1))], (909 ^ _224922) ^ [] : [-(gt(n3, n1))], (911 ^ _224922) ^ [] : [-(gt(n4, n2))], (913 ^ _224922) ^ [] : [-(gt(n5, n2))], (915 ^ _224922) ^ [] : [-(gt(n6, n2))], (917 ^ _224922) ^ [] : [-(gt(n3, n2))], (919 ^ _224922) ^ [] : [-(gt(n4, n3))], (921 ^ _224922) ^ [] : [-(gt(n5, n3))], (923 ^ _224922) ^ [] : [-(gt(n6, n3))], (925 ^ _224922) ^ [_261803] : [leq(n0, _261803), leq(_261803, n4), -(_261803 = n0), -(_261803 = n1), -(_261803 = n2), -(_261803 = n3), -(_261803 = n4)], (951 ^ _224922) ^ [_262424] : [leq(n0, _262424), leq(_262424, n5), -(_262424 = n0), -(_262424 = n1), -(_262424 = n2), -(_262424 = n3), -(_262424 = n4), -(_262424 = n5)], (981 ^ _224922) ^ [_263131] : [leq(n0, _263131), leq(_263131, n6), -(_263131 = n0), -(_263131 = n1), -(_263131 = n2), -(_263131 = n3), -(_263131 = n4), -(_263131 = n5), -(_263131 = n6)], (1015 ^ _224922) ^ [_263924] : [-(_263924 = n0), leq(n0, _263924), leq(_263924, n0)], (1025 ^ _224922) ^ [_264199] : [leq(n0, _264199), leq(_264199, n1), -(_264199 = n0), -(_264199 = n1)], (1039 ^ _224922) ^ [_264562] : [leq(n0, _264562), leq(_264562, n2), -(_264562 = n0), -(_264562 = n1), -(_264562 = n2)], (1079 ^ _224922) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1081 ^ _224922) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1083 ^ _224922) ^ [] : [-(succ(succ(succ(succ(succ(succ(n0)))))) = n6)], (1085 ^ _224922) ^ [] : [-(succ(n0) = n1)], (1087 ^ _224922) ^ [] : [-(succ(succ(n0)) = n2)], (1089 ^ _224922) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1057 ^ _224922) ^ [_265011] : [leq(n0, _265011), leq(_265011, n3), -(_265011 = n0), -(_265011 = n1), -(_265011 = n2), -(_265011 = n3)], (264 ^ _224922) ^ [_234394, _234396] : [-(gt(_234396, _234394)), -(gt(_234394, _234396)), -(_234396 = _234394)], (274 ^ _224922) ^ [_234709, _234711, _234713] : [-(gt(_234713, _234709)), gt(_234713, _234711), gt(_234711, _234709)], (284 ^ _224922) ^ [_234988] : [gt(_234988, _234988)], (286 ^ _224922) ^ [_235066] : [-(leq(_235066, _235066))], (288 ^ _224922) ^ [_235187, _235189, _235191] : [-(leq(_235191, _235187)), leq(_235191, _235189), leq(_235189, _235187)], (298 ^ _224922) ^ [_235525, _235527] : [lt(_235527, _235525), -(gt(_235525, _235527))], (304 ^ _224922) ^ [_235687, _235689] : [gt(_235687, _235689), -(lt(_235689, _235687))], (310 ^ _224922) ^ [_235928, _235930] : [geq(_235930, _235928), -(leq(_235928, _235930))], (316 ^ _224922) ^ [_236090, _236092] : [leq(_236090, _236092), -(geq(_236092, _236090))], (322 ^ _224922) ^ [_236302, _236304] : [gt(_236302, _236304), -(leq(_236304, _236302))], (328 ^ _224922) ^ [_236512, _236514] : [-(gt(_236512, _236514)), leq(_236514, _236512), -(_236514 = _236512)], (338 ^ _224922) ^ [_236843, _236845] : [leq(_236845, pred(_236843)), -(gt(_236843, _236845))], (344 ^ _224922) ^ [_237009, _237011] : [gt(_237009, _237011), -(leq(_237011, pred(_237009)))], (350 ^ _224922) ^ [_237196] : [-(gt(succ(_237196), _237196))], (352 ^ _224922) ^ [_237305, _237307] : [leq(_237307, _237305), -(leq(_237307, succ(_237305)))], (358 ^ _224922) ^ [_237548, _237550] : [leq(_237550, _237548), -(gt(succ(_237548), _237550))], (364 ^ _224922) ^ [_237714, _237716] : [gt(succ(_237714), _237716), -(leq(_237716, _237714))], (370 ^ _224922) ^ [_237930, _237932] : [leq(n0, _237932), -(leq(uniform_int_rnd(_237930, _237932), _237932))], (376 ^ _224922) ^ [_238146, _238148] : [leq(n0, _238148), -(leq(n0, uniform_int_rnd(_238146, _238148)))], (382 ^ _224922) ^ [_238390, _238392, _238394, _238396] : [-(a_select2(tptp_const_array1(dim(_238394, _238392), _238390), _238396) = _238390), leq(_238394, _238396), leq(_238396, _238392)], (392 ^ _224922) ^ [_238797, _238799, _238801, _238803, _238805, _238807, _238809] : [-(a_select3(tptp_const_array2(dim(_238807, _238805), dim(_238801, _238799), _238797), _238809, _238803) = _238797), leq(_238807, _238809), leq(_238809, _238805), leq(_238801, _238803), leq(_238803, _238799)], (410 ^ _224922) ^ [_239392, _239394] : [413 ^ _224922 : [(414 ^ _224922) ^ [] : [-(leq(n0, 411 ^ [_239392, _239394]))], (416 ^ _224922) ^ [] : [-(leq(411 ^ [_239392, _239394], _239392))], (418 ^ _224922) ^ [] : [-(leq(n0, 412 ^ [_239392, _239394]))], (420 ^ _224922) ^ [] : [-(leq(412 ^ [_239392, _239394], _239392))], (422 ^ _224922) ^ [] : [a_select3(_239394, 411 ^ [_239392, _239394], 412 ^ [_239392, _239394]) = a_select3(_239394, 412 ^ [_239392, _239394], 411 ^ [_239392, _239394])]], 423 ^ _224922 : [(424 ^ _224922) ^ [_240149, _240151] : [-(a_select3(trans(_239394), _240151, _240149) = a_select3(trans(_239394), _240149, _240151)), leq(n0, _240151), leq(_240151, _239392), leq(n0, _240149), leq(_240149, _239392)]]], (442 ^ _224922) ^ [_240696, _240698] : [445 ^ _224922 : [(446 ^ _224922) ^ [] : [-(leq(n0, 443 ^ [_240696, _240698]))], (448 ^ _224922) ^ [] : [-(leq(443 ^ [_240696, _240698], _240696))], (450 ^ _224922) ^ [] : [-(leq(n0, 444 ^ [_240696, _240698]))], (452 ^ _224922) ^ [] : [-(leq(444 ^ [_240696, _240698], _240696))], (454 ^ _224922) ^ [] : [a_select3(_240698, 443 ^ [_240696, _240698], 444 ^ [_240696, _240698]) = a_select3(_240698, 444 ^ [_240696, _240698], 443 ^ [_240696, _240698])]], 455 ^ _224922 : [(456 ^ _224922) ^ [_241453, _241455] : [-(a_select3(inv(_240698), _241455, _241453) = a_select3(inv(_240698), _241453, _241455)), leq(n0, _241455), leq(_241455, _240696), leq(n0, _241453), leq(_241453, _240696)]]], (474 ^ _224922) ^ [_242000, _242002] : [477 ^ _224922 : [(478 ^ _224922) ^ [] : [-(leq(n0, 475 ^ [_242000, _242002]))], (480 ^ _224922) ^ [] : [-(leq(475 ^ [_242000, _242002], _242000))], (482 ^ _224922) ^ [] : [-(leq(n0, 476 ^ [_242000, _242002]))], (484 ^ _224922) ^ [] : [-(leq(476 ^ [_242000, _242002], _242000))], (486 ^ _224922) ^ [] : [a_select3(_242002, 475 ^ [_242000, _242002], 476 ^ [_242000, _242002]) = a_select3(_242002, 476 ^ [_242000, _242002], 475 ^ [_242000, _242002])]], 487 ^ _224922 : [(488 ^ _224922) ^ [_242813, _242815, _242817, _242819] : [-(a_select3(tptp_update3(_242002, _242815, _242815, _242813), _242819, _242817) = a_select3(tptp_update3(_242002, _242815, _242815, _242813), _242817, _242819)), leq(n0, _242819), leq(_242819, _242000), leq(n0, _242817), leq(_242817, _242000), leq(n0, _242815), leq(_242815, _242000)]]], (514 ^ _224922) ^ [_243632, _243634, _243636] : [519 ^ _224922 : [(520 ^ _224922) ^ [] : [-(leq(n0, 517 ^ [_243632, _243634, _243636]))], (522 ^ _224922) ^ [] : [-(leq(517 ^ [_243632, _243634, _243636], _243632))], (524 ^ _224922) ^ [] : [-(leq(n0, 518 ^ [_243632, _243634, _243636]))], (526 ^ _224922) ^ [] : [-(leq(518 ^ [_243632, _243634, _243636], _243632))], (528 ^ _224922) ^ [] : [a_select3(_243636, 517 ^ [_243632, _243634, _243636], 518 ^ [_243632, _243634, _243636]) = a_select3(_243636, 518 ^ [_243632, _243634, _243636], 517 ^ [_243632, _243634, _243636])]], 531 ^ _224922 : [(532 ^ _224922) ^ [] : [-(leq(n0, 529 ^ [_243632, _243634, _243636]))], (534 ^ _224922) ^ [] : [-(leq(529 ^ [_243632, _243634, _243636], _243632))], (536 ^ _224922) ^ [] : [-(leq(n0, 530 ^ [_243632, _243634, _243636]))], (538 ^ _224922) ^ [] : [-(leq(530 ^ [_243632, _243634, _243636], _243632))], (540 ^ _224922) ^ [] : [a_select3(_243634, 529 ^ [_243632, _243634, _243636], 530 ^ [_243632, _243634, _243636]) = a_select3(_243634, 530 ^ [_243632, _243634, _243636], 529 ^ [_243632, _243634, _243636])]], 541 ^ _224922 : [(542 ^ _224922) ^ [_245141, _245143] : [-(a_select3(tptp_madd(_243636, _243634), _245143, _245141) = a_select3(tptp_madd(_243636, _243634), _245141, _245143)), leq(n0, _245143), leq(_245143, _243632), leq(n0, _245141), leq(_245141, _243632)]]], (560 ^ _224922) ^ [_245727, _245729, _245731] : [565 ^ _224922 : [(566 ^ _224922) ^ [] : [-(leq(n0, 563 ^ [_245727, _245729, _245731]))], (568 ^ _224922) ^ [] : [-(leq(563 ^ [_245727, _245729, _245731], _245727))], (570 ^ _224922) ^ [] : [-(leq(n0, 564 ^ [_245727, _245729, _245731]))], (572 ^ _224922) ^ [] : [-(leq(564 ^ [_245727, _245729, _245731], _245727))], (574 ^ _224922) ^ [] : [a_select3(_245731, 563 ^ [_245727, _245729, _245731], 564 ^ [_245727, _245729, _245731]) = a_select3(_245731, 564 ^ [_245727, _245729, _245731], 563 ^ [_245727, _245729, _245731])]], 577 ^ _224922 : [(578 ^ _224922) ^ [] : [-(leq(n0, 575 ^ [_245727, _245729, _245731]))], (580 ^ _224922) ^ [] : [-(leq(575 ^ [_245727, _245729, _245731], _245727))], (582 ^ _224922) ^ [] : [-(leq(n0, 576 ^ [_245727, _245729, _245731]))], (584 ^ _224922) ^ [] : [-(leq(576 ^ [_245727, _245729, _245731], _245727))], (586 ^ _224922) ^ [] : [a_select3(_245729, 575 ^ [_245727, _245729, _245731], 576 ^ [_245727, _245729, _245731]) = a_select3(_245729, 576 ^ [_245727, _245729, _245731], 575 ^ [_245727, _245729, _245731])]], 587 ^ _224922 : [(588 ^ _224922) ^ [_247236, _247238] : [-(a_select3(tptp_msub(_245731, _245729), _247238, _247236) = a_select3(tptp_msub(_245731, _245729), _247236, _247238)), leq(n0, _247238), leq(_247238, _245727), leq(n0, _247236), leq(_247236, _245727)]]], (606 ^ _224922) ^ [_247822, _247824, _247826] : [609 ^ _224922 : [(610 ^ _224922) ^ [] : [-(leq(n0, 607 ^ [_247822, _247824, _247826]))], (612 ^ _224922) ^ [] : [-(leq(607 ^ [_247822, _247824, _247826], _247822))], (614 ^ _224922) ^ [] : [-(leq(n0, 608 ^ [_247822, _247824, _247826]))], (616 ^ _224922) ^ [] : [-(leq(608 ^ [_247822, _247824, _247826], _247822))], (618 ^ _224922) ^ [] : [a_select3(_247824, 607 ^ [_247822, _247824, _247826], 608 ^ [_247822, _247824, _247826]) = a_select3(_247824, 608 ^ [_247822, _247824, _247826], 607 ^ [_247822, _247824, _247826])]], 619 ^ _224922 : [(620 ^ _224922) ^ [_248635, _248637] : [-(a_select3(tptp_mmul(_247826, tptp_mmul(_247824, trans(_247826))), _248637, _248635) = a_select3(tptp_mmul(_247826, tptp_mmul(_247824, trans(_247826))), _248635, _248637)), leq(n0, _248637), leq(_248637, _247822), leq(n0, _248635), leq(_248635, _247822)]]], (638 ^ _224922) ^ [_249254, _249256, _249258, _249260] : [641 ^ _224922 : [(642 ^ _224922) ^ [] : [-(leq(n0, 639 ^ [_249254, _249256, _249258, _249260]))], (644 ^ _224922) ^ [] : [-(leq(639 ^ [_249254, _249256, _249258, _249260], _249254))], (646 ^ _224922) ^ [] : [-(leq(n0, 640 ^ [_249254, _249256, _249258, _249260]))], (648 ^ _224922) ^ [] : [-(leq(640 ^ [_249254, _249256, _249258, _249260], _249254))], (650 ^ _224922) ^ [] : [a_select3(_249258, 639 ^ [_249254, _249256, _249258, _249260], 640 ^ [_249254, _249256, _249258, _249260]) = a_select3(_249258, 640 ^ [_249254, _249256, _249258, _249260], 639 ^ [_249254, _249256, _249258, _249260])]], 651 ^ _224922 : [(652 ^ _224922) ^ [_250111, _250113] : [-(a_select3(tptp_mmul(_249260, tptp_mmul(_249258, trans(_249260))), _250113, _250111) = a_select3(tptp_mmul(_249260, tptp_mmul(_249258, trans(_249260))), _250111, _250113)), leq(n0, _250113), leq(_250113, _249256), leq(n0, _250111), leq(_250111, _249256)]]], (670 ^ _224922) ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820] : [675 ^ _224922 : [(676 ^ _224922) ^ [] : [-(leq(n0, 673 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820]))], (678 ^ _224922) ^ [] : [-(leq(673 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], _250806))], (680 ^ _224922) ^ [] : [-(leq(n0, 674 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820]))], (682 ^ _224922) ^ [] : [-(leq(674 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], _250806))], (684 ^ _224922) ^ [] : [a_select3(_250814, 673 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], 674 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820]) = a_select3(_250814, 674 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], 673 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820])]], 689 ^ _224922 : [(690 ^ _224922) ^ [] : [-(leq(n0, 687 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820]))], (692 ^ _224922) ^ [] : [-(leq(687 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], _250808))], (694 ^ _224922) ^ [] : [-(leq(n0, 688 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820]))], (696 ^ _224922) ^ [] : [-(leq(688 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], _250808))], (698 ^ _224922) ^ [] : [a_select3(_250820, 687 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], 688 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820]) = a_select3(_250820, 688 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], 687 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820])]], 701 ^ _224922 : [(702 ^ _224922) ^ [] : [-(leq(n0, 699 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820]))], (704 ^ _224922) ^ [] : [-(leq(699 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], _250808))], (706 ^ _224922) ^ [] : [-(leq(n0, 700 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820]))], (708 ^ _224922) ^ [] : [-(leq(700 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], _250808))], (710 ^ _224922) ^ [] : [a_select3(_250810, 699 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], 700 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820]) = a_select3(_250810, 700 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820], 699 ^ [_250806, _250808, _250810, _250812, _250814, _250816, _250818, _250820])]], 711 ^ _224922 : [(712 ^ _224922) ^ [_253734, _253736] : [-(a_select3(tptp_madd(_250820, tptp_mmul(_250818, tptp_mmul(tptp_madd(tptp_mmul(_250816, tptp_mmul(_250814, trans(_250816))), tptp_mmul(_250812, tptp_mmul(_250810, trans(_250812)))), trans(_250818)))), _253736, _253734) = a_select3(tptp_madd(_250820, tptp_mmul(_250818, tptp_mmul(tptp_madd(tptp_mmul(_250816, tptp_mmul(_250814, trans(_250816))), tptp_mmul(_250812, tptp_mmul(_250810, trans(_250812)))), trans(_250818)))), _253734, _253736)), leq(n0, _253736), leq(_253736, _250808), leq(n0, _253734), leq(_253734, _250808)]]], (730 ^ _224922) ^ [_254487] : [-(sum(n0, tptp_minus_1, _254487) = n0)], (732 ^ _224922) ^ [_254569] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _254569))], (734 ^ _224922) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _224922) ^ [_254704] : [-(plus(_254704, n1) = succ(_254704))], (738 ^ _224922) ^ [_254787] : [-(plus(n1, _254787) = succ(_254787))], (740 ^ _224922) ^ [_254870] : [-(plus(_254870, n2) = succ(succ(_254870)))], (742 ^ _224922) ^ [_254955] : [-(plus(n2, _254955) = succ(succ(_254955)))], (744 ^ _224922) ^ [_255040] : [-(plus(_255040, n3) = succ(succ(succ(_255040))))], (746 ^ _224922) ^ [_255127] : [-(plus(n3, _255127) = succ(succ(succ(_255127))))], (748 ^ _224922) ^ [_255214] : [-(plus(_255214, n4) = succ(succ(succ(succ(_255214)))))], (750 ^ _224922) ^ [_255303] : [-(plus(n4, _255303) = succ(succ(succ(succ(_255303)))))], (752 ^ _224922) ^ [_255392] : [-(plus(_255392, n5) = succ(succ(succ(succ(succ(_255392))))))], (754 ^ _224922) ^ [_255483] : [-(plus(n5, _255483) = succ(succ(succ(succ(succ(_255483))))))], (756 ^ _224922) ^ [_255574] : [-(minus(_255574, n1) = pred(_255574))], (758 ^ _224922) ^ [_255657] : [-(pred(succ(_255657)) = _255657)], (760 ^ _224922) ^ [_255739] : [-(succ(pred(_255739)) = _255739)], (762 ^ _224922) ^ [_255879, _255881] : [leq(succ(_255881), succ(_255879)), -(leq(_255881, _255879))], (768 ^ _224922) ^ [_256049, _256051] : [leq(_256051, _256049), -(leq(succ(_256051), succ(_256049)))], (774 ^ _224922) ^ [_256269, _256271] : [leq(succ(_256271), _256269), -(gt(_256269, _256271))], (780 ^ _224922) ^ [_256483, _256485] : [leq(minus(_256485, _256483), _256485), -(leq(n0, _256483))], (786 ^ _224922) ^ [_256712, _256714, _256716, _256718] : [-(a_select3(tptp_update3(_256718, _256716, _256714, _256712), _256716, _256714) = _256712)], (788 ^ _224922) ^ [_256904, _256906, _256908, _256910, _256912, _256914, _256916] : [-(a_select3(tptp_update3(_256908, _256916, _256914, _256904), _256912, _256910) = _256906), -(_256916 = _256912), _256914 = _256910, a_select3(_256908, _256912, _256910) = _256906], (802 ^ _224922) ^ [_257447, _257449, _257451, _257453, _257455, _257457] : [-(a_select3(tptp_update3(_257449, _257453, _257451, _257447), _257457, _257455) = _257447), 807 ^ _224922 : [(808 ^ _224922) ^ [] : [-(leq(n0, 805 ^ [_257447, _257449, _257451, _257453, _257455, _257457]))], (810 ^ _224922) ^ [] : [-(leq(n0, 806 ^ [_257447, _257449, _257451, _257453, _257455, _257457]))], (812 ^ _224922) ^ [] : [-(leq(805 ^ [_257447, _257449, _257451, _257453, _257455, _257457], _257453))], (814 ^ _224922) ^ [] : [-(leq(806 ^ [_257447, _257449, _257451, _257453, _257455, _257457], _257451))], (816 ^ _224922) ^ [] : [a_select3(_257449, 805 ^ [_257447, _257449, _257451, _257453, _257455, _257457], 806 ^ [_257447, _257449, _257451, _257453, _257455, _257457]) = _257447]], leq(n0, _257457), leq(_257457, _257453), leq(n0, _257455), leq(_257455, _257451)], (834 ^ _224922) ^ [_258789, _258791, _258793] : [-(a_select2(tptp_update2(_258793, _258791, _258789), _258791) = _258789)], (836 ^ _224922) ^ [_258949, _258951, _258953, _258955, _258957] : [-(a_select2(tptp_update2(_258953, _258957, _258949), _258955) = _258951), -(_258957 = _258955), a_select2(_258953, _258955) = _258951], (865 ^ _224922) ^ [] : [-(true)], (867 ^ _224922) ^ [] : [def = use], (846 ^ _224922) ^ [_259329, _259331, _259333, _259335] : [-(a_select2(tptp_update2(_259331, _259333, _259329), _259335) = _259329), 850 ^ _224922 : [(851 ^ _224922) ^ [] : [-(leq(n0, 849 ^ [_259329, _259331, _259333, _259335]))], (853 ^ _224922) ^ [] : [-(leq(849 ^ [_259329, _259331, _259333, _259335], _259333))], (855 ^ _224922) ^ [] : [a_select2(_259331, 849 ^ [_259329, _259331, _259333, _259335]) = _259329]], leq(n0, _259335), leq(_259335, _259333)]], input).
% 0.36/1.38  ncf('1',plain,[1157 : a_select3(q_ds1_filter, 1146 ^ [], 1147 ^ []) = a_select3(q_ds1_filter, 1147 ^ [], 1146 ^ []), 1171 : a_select3(r_ds1_filter, 1160 ^ [], 1161 ^ []) = a_select3(r_ds1_filter, 1161 ^ [], 1160 ^ []), 1183 : a_select3(pminus_ds1_filter, 1172 ^ [], 1173 ^ []) = a_select3(pminus_ds1_filter, 1173 ^ [], 1172 ^ [])],start(1145 ^ 0)).
% 0.36/1.38  ncf('1.1',plain,[-(a_select3(q_ds1_filter, 1146 ^ [], 1147 ^ []) = a_select3(q_ds1_filter, 1147 ^ [], 1146 ^ [])), leq(n0, 1146 ^ []), leq(n0, 1147 ^ []), leq(1146 ^ [], minus(n6, n1)), leq(1147 ^ [], minus(n6, n1))],extension(1091 ^ 3,bind([[_266108, _266110], [1147 ^ [], 1146 ^ []]]))).
% 0.36/1.38  ncf('1.1.1',plain,[-(leq(n0, 1146 ^ []))],extension(1149 ^ 4)).
% 0.36/1.38  ncf('1.1.2',plain,[-(leq(n0, 1147 ^ []))],extension(1151 ^ 4)).
% 0.36/1.38  ncf('1.1.3',plain,[-(leq(1146 ^ [], minus(n6, n1)))],extension(1153 ^ 4)).
% 0.36/1.38  ncf('1.1.4',plain,[-(leq(1147 ^ [], minus(n6, n1)))],extension(1155 ^ 4)).
% 0.36/1.38  ncf('1.2',plain,[-(a_select3(r_ds1_filter, 1160 ^ [], 1161 ^ []) = a_select3(r_ds1_filter, 1161 ^ [], 1160 ^ [])), leq(n0, 1160 ^ []), leq(n0, 1161 ^ []), leq(1160 ^ [], minus(n3, n1)), leq(1161 ^ [], minus(n3, n1))],extension(1109 ^ 3,bind([[_266601, _266603], [1161 ^ [], 1160 ^ []]]))).
% 0.36/1.38  ncf('1.2.1',plain,[-(leq(n0, 1160 ^ []))],extension(1163 ^ 4)).
% 0.36/1.38  ncf('1.2.2',plain,[-(leq(n0, 1161 ^ []))],extension(1165 ^ 4)).
% 0.36/1.38  ncf('1.2.3',plain,[-(leq(1160 ^ [], minus(n3, n1)))],extension(1167 ^ 4)).
% 0.36/1.38  ncf('1.2.4',plain,[-(leq(1161 ^ [], minus(n3, n1)))],extension(1169 ^ 4)).
% 0.36/1.38  ncf('1.3',plain,[-(a_select3(pminus_ds1_filter, 1172 ^ [], 1173 ^ []) = a_select3(pminus_ds1_filter, 1173 ^ [], 1172 ^ [])), leq(n0, 1172 ^ []), leq(n0, 1173 ^ []), leq(1172 ^ [], minus(n6, n1)), leq(1173 ^ [], minus(n6, n1))],extension(1127 ^ 3,bind([[_267074, _267076], [1173 ^ [], 1172 ^ []]]))).
% 0.36/1.38  ncf('1.3.1',plain,[-(leq(n0, 1172 ^ []))],extension(1175 ^ 4)).
% 0.36/1.38  ncf('1.3.2',plain,[-(leq(n0, 1173 ^ []))],extension(1177 ^ 4)).
% 0.36/1.38  ncf('1.3.3',plain,[-(leq(1172 ^ [], minus(n6, n1)))],extension(1179 ^ 4)).
% 0.36/1.38  ncf('1.3.4',plain,[-(leq(1173 ^ [], minus(n6, n1)))],extension(1181 ^ 4)).
% 0.36/1.38  %-----------------------------------------------------
% 0.36/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------