%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV225+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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 12:20:12 EDT 2023

% Result   : Theorem 0.35s 1.39s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV225+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 02:22:09 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.35/1.39  
% 0.35/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  ncf(matrix, plain, [(1041 ^ _222539) ^ [_262470, _262472] : [-(a_select3(q_ds1_filter, _262472, _262470) = a_select3(q_ds1_filter, _262470, _262472)), leq(n0, _262472), leq(n0, _262470), leq(_262472, n5), leq(_262470, n5)], (1059 ^ _222539) ^ [_262943, _262945] : [-(a_select3(r_ds1_filter, _262945, _262943) = a_select3(r_ds1_filter, _262943, _262945)), leq(n0, _262945), leq(n0, _262943), leq(_262945, n2), leq(_262943, n2)], (1079 ^ _222539) ^ [] : [-(leq(n0, 1076 ^ []))], (1081 ^ _222539) ^ [] : [-(leq(n0, 1077 ^ []))], (1083 ^ _222539) ^ [] : [-(leq(1076 ^ [], n5))], (1085 ^ _222539) ^ [] : [-(leq(1077 ^ [], n5))], (1275 ^ _222539) ^ [] : [n0 = a_select2(xinit_noise, n1)], (1087 ^ _222539) ^ [] : [n0 = 1076 ^ [], n2 = 1077 ^ []], (1093 ^ _222539) ^ [] : [n0 = 1076 ^ [], n3 = 1077 ^ []], (1099 ^ _222539) ^ [] : [n0 = 1076 ^ [], n4 = 1077 ^ []], (1105 ^ _222539) ^ [] : [n0 = 1076 ^ [], n5 = 1077 ^ []], (1111 ^ _222539) ^ [] : [n0 = 1077 ^ [], n4 = 1076 ^ []], (1117 ^ _222539) ^ [] : [n0 = 1077 ^ [], n5 = 1076 ^ []], (1123 ^ _222539) ^ [] : [n1 = 1076 ^ [], n2 = 1077 ^ []], (1129 ^ _222539) ^ [] : [n1 = 1076 ^ [], n3 = 1077 ^ []], (1135 ^ _222539) ^ [] : [n1 = 1076 ^ [], n4 = 1077 ^ []], (1141 ^ _222539) ^ [] : [n1 = 1076 ^ [], n5 = 1077 ^ []], (1147 ^ _222539) ^ [] : [n1 = 1077 ^ [], n2 = 1076 ^ []], (1153 ^ _222539) ^ [] : [n1 = 1077 ^ [], n3 = 1076 ^ []], (1159 ^ _222539) ^ [] : [n1 = 1077 ^ [], n4 = 1076 ^ []], (1165 ^ _222539) ^ [] : [n1 = 1077 ^ [], n5 = 1076 ^ []], (1171 ^ _222539) ^ [] : [n2 = 1076 ^ [], n2 = 1077 ^ []], (1177 ^ _222539) ^ [] : [n2 = 1076 ^ [], n3 = 1077 ^ []], (1183 ^ _222539) ^ [] : [n2 = 1076 ^ [], n4 = 1077 ^ []], (1189 ^ _222539) ^ [] : [n2 = 1076 ^ [], n5 = 1077 ^ []], (1195 ^ _222539) ^ [] : [n2 = 1077 ^ [], n3 = 1076 ^ []], (1201 ^ _222539) ^ [] : [n2 = 1077 ^ [], n4 = 1076 ^ []], (1207 ^ _222539) ^ [] : [n2 = 1077 ^ [], n5 = 1076 ^ []], (1213 ^ _222539) ^ [] : [n3 = 1076 ^ [], n3 = 1077 ^ []], (1219 ^ _222539) ^ [] : [n3 = 1076 ^ [], n4 = 1077 ^ []], (1225 ^ _222539) ^ [] : [n3 = 1076 ^ [], n5 = 1077 ^ []], (1231 ^ _222539) ^ [] : [n3 = 1077 ^ [], n4 = 1076 ^ []], (1237 ^ _222539) ^ [] : [n3 = 1077 ^ [], n5 = 1076 ^ []], (1243 ^ _222539) ^ [] : [n4 = 1076 ^ [], n4 = 1077 ^ []], (1249 ^ _222539) ^ [] : [n4 = 1076 ^ [], n5 = 1077 ^ []], (1255 ^ _222539) ^ [] : [n4 = 1077 ^ [], n5 = 1076 ^ []], (1267 ^ _222539) ^ [] : [-(n1 = 1076 ^ [])], (1269 ^ _222539) ^ [] : [-(n1 = 1077 ^ [])], (1271 ^ _222539) ^ [] : [-(n2 = 1077 ^ [])], (1273 ^ _222539) ^ [] : [-(n3 = 1076 ^ [])], (1261 ^ _222539) ^ [] : [n5 = 1076 ^ [], n5 = 1077 ^ []], (2 ^ _222539) ^ [_222683] : [-(_222683 = _222683)], (4 ^ _222539) ^ [_222790, _222792] : [_222792 = _222790, -(_222790 = _222792)], (10 ^ _222539) ^ [_222994, _222996, _222998] : [-(_222998 = _222994), _222998 = _222996, _222996 = _222994], (20 ^ _222539) ^ [_223335, _223337, _223339, _223341] : [-(lt(_223339, _223335)), lt(_223341, _223337), _223341 = _223339, _223337 = _223335], (34 ^ _222539) ^ [_223779, _223781, _223783, _223785] : [-(geq(_223783, _223779)), geq(_223785, _223781), _223785 = _223783, _223781 = _223779], (48 ^ _222539) ^ [_224223, _224225, _224227, _224229] : [-(gt(_224227, _224223)), gt(_224229, _224225), _224229 = _224227, _224225 = _224223], (62 ^ _222539) ^ [_224647, _224649, _224651, _224653] : [-(leq(_224651, _224647)), leq(_224653, _224649), _224653 = _224651, _224649 = _224647], (76 ^ _222539) ^ [_225103, _225105, _225107, _225109] : [-(uniform_int_rnd(_225109, _225105) = uniform_int_rnd(_225107, _225103)), _225109 = _225107, _225105 = _225103], (86 ^ _222539) ^ [_225462, _225464, _225466, _225468] : [-(tptp_const_array1(_225468, _225464) = tptp_const_array1(_225466, _225462)), _225468 = _225466, _225464 = _225462], (96 ^ _222539) ^ [_225849, _225851, _225853, _225855, _225857, _225859] : [-(tptp_const_array2(_225859, _225855, _225851) = tptp_const_array2(_225857, _225853, _225849)), _225859 = _225857, _225855 = _225853, _225851 = _225849], (110 ^ _222539) ^ [_226337, _226339, _226341, _226343] : [-(dim(_226343, _226339) = dim(_226341, _226337)), _226343 = _226341, _226339 = _226337], (120 ^ _222539) ^ [_226668, _226670] : [_226670 = _226668, -(inv(_226670) = inv(_226668))], (126 ^ _222539) ^ [_226914, _226916, _226918, _226920] : [-(tptp_msub(_226920, _226916) = tptp_msub(_226918, _226914)), _226920 = _226918, _226916 = _226914], (136 ^ _222539) ^ [_227273, _227275, _227277, _227279] : [-(tptp_madd(_227279, _227275) = tptp_madd(_227277, _227273)), _227279 = _227277, _227275 = _227273], (146 ^ _222539) ^ [_227632, _227634, _227636, _227638] : [-(tptp_mmul(_227638, _227634) = tptp_mmul(_227636, _227632)), _227638 = _227636, _227634 = _227632], (156 ^ _222539) ^ [_227963, _227965] : [_227965 = _227963, -(trans(_227965) = trans(_227963))], (162 ^ _222539) ^ [_228237, _228239, _228241, _228243, _228245, _228247] : [-(sum(_228247, _228243, _228239) = sum(_228245, _228241, _228237)), _228247 = _228245, _228243 = _228241, _228239 = _228237], (176 ^ _222539) ^ [_228725, _228727, _228729, _228731] : [-(plus(_228731, _228727) = plus(_228729, _228725)), _228731 = _228729, _228727 = _228725], (186 ^ _222539) ^ [_229056, _229058] : [_229058 = _229056, -(pred(_229058) = pred(_229056))], (192 ^ _222539) ^ [_229302, _229304, _229306, _229308] : [-(minus(_229308, _229304) = minus(_229306, _229302)), _229308 = _229306, _229304 = _229302], (202 ^ _222539) ^ [_229717, _229719, _229721, _229723, _229725, _229727, _229729, _229731] : [-(tptp_update3(_229731, _229727, _229723, _229719) = tptp_update3(_229729, _229725, _229721, _229717)), _229731 = _229729, _229727 = _229725, _229723 = _229721, _229719 = _229717], (220 ^ _222539) ^ [_230378, _230380, _230382, _230384, _230386, _230388] : [-(tptp_update2(_230388, _230384, _230380) = tptp_update2(_230386, _230382, _230378)), _230388 = _230386, _230384 = _230382, _230380 = _230378], (234 ^ _222539) ^ [_230838, _230840] : [_230840 = _230838, -(succ(_230840) = succ(_230838))], (254 ^ _222539) ^ [_231580, _231582, _231584, _231586] : [-(a_select2(_231586, _231582) = a_select2(_231584, _231580)), _231586 = _231584, _231582 = _231580], (240 ^ _222539) ^ [_231112, _231114, _231116, _231118, _231120, _231122] : [-(a_select3(_231122, _231118, _231114) = a_select3(_231120, _231116, _231112)), _231122 = _231120, _231118 = _231116, _231114 = _231112], (869 ^ _222539) ^ [] : [-(gt(n5, n4))], (871 ^ _222539) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _222539) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _222539) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _222539) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _222539) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _222539) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _222539) ^ [] : [-(gt(n4, n0))], (885 ^ _222539) ^ [] : [-(gt(n5, n0))], (887 ^ _222539) ^ [] : [-(gt(n1, n0))], (889 ^ _222539) ^ [] : [-(gt(n2, n0))], (891 ^ _222539) ^ [] : [-(gt(n3, n0))], (893 ^ _222539) ^ [] : [-(gt(n4, n1))], (895 ^ _222539) ^ [] : [-(gt(n5, n1))], (897 ^ _222539) ^ [] : [-(gt(n2, n1))], (899 ^ _222539) ^ [] : [-(gt(n3, n1))], (901 ^ _222539) ^ [] : [-(gt(n4, n2))], (903 ^ _222539) ^ [] : [-(gt(n5, n2))], (905 ^ _222539) ^ [] : [-(gt(n3, n2))], (907 ^ _222539) ^ [] : [-(gt(n4, n3))], (909 ^ _222539) ^ [] : [-(gt(n5, n3))], (911 ^ _222539) ^ [_259049] : [leq(n0, _259049), leq(_259049, n4), -(_259049 = n0), -(_259049 = n1), -(_259049 = n2), -(_259049 = n3), -(_259049 = n4)], (937 ^ _222539) ^ [_259670] : [leq(n0, _259670), leq(_259670, n5), -(_259670 = n0), -(_259670 = n1), -(_259670 = n2), -(_259670 = n3), -(_259670 = n4), -(_259670 = n5)], (967 ^ _222539) ^ [_260377] : [-(_260377 = n0), leq(n0, _260377), leq(_260377, n0)], (977 ^ _222539) ^ [_260652] : [leq(n0, _260652), leq(_260652, n1), -(_260652 = n0), -(_260652 = n1)], (991 ^ _222539) ^ [_261015] : [leq(n0, _261015), leq(_261015, n2), -(_261015 = n0), -(_261015 = n1), -(_261015 = n2)], (1031 ^ _222539) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _222539) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _222539) ^ [] : [-(succ(n0) = n1)], (1037 ^ _222539) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _222539) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _222539) ^ [_261464] : [leq(n0, _261464), leq(_261464, n3), -(_261464 = n0), -(_261464 = n1), -(_261464 = n2), -(_261464 = n3)], (264 ^ _222539) ^ [_232011, _232013] : [-(gt(_232013, _232011)), -(gt(_232011, _232013)), -(_232013 = _232011)], (274 ^ _222539) ^ [_232326, _232328, _232330] : [-(gt(_232330, _232326)), gt(_232330, _232328), gt(_232328, _232326)], (284 ^ _222539) ^ [_232605] : [gt(_232605, _232605)], (286 ^ _222539) ^ [_232683] : [-(leq(_232683, _232683))], (288 ^ _222539) ^ [_232804, _232806, _232808] : [-(leq(_232808, _232804)), leq(_232808, _232806), leq(_232806, _232804)], (298 ^ _222539) ^ [_233142, _233144] : [lt(_233144, _233142), -(gt(_233142, _233144))], (304 ^ _222539) ^ [_233304, _233306] : [gt(_233304, _233306), -(lt(_233306, _233304))], (310 ^ _222539) ^ [_233545, _233547] : [geq(_233547, _233545), -(leq(_233545, _233547))], (316 ^ _222539) ^ [_233707, _233709] : [leq(_233707, _233709), -(geq(_233709, _233707))], (322 ^ _222539) ^ [_233919, _233921] : [gt(_233919, _233921), -(leq(_233921, _233919))], (328 ^ _222539) ^ [_234129, _234131] : [-(gt(_234129, _234131)), leq(_234131, _234129), -(_234131 = _234129)], (338 ^ _222539) ^ [_234460, _234462] : [leq(_234462, pred(_234460)), -(gt(_234460, _234462))], (344 ^ _222539) ^ [_234626, _234628] : [gt(_234626, _234628), -(leq(_234628, pred(_234626)))], (350 ^ _222539) ^ [_234813] : [-(gt(succ(_234813), _234813))], (352 ^ _222539) ^ [_234922, _234924] : [leq(_234924, _234922), -(leq(_234924, succ(_234922)))], (358 ^ _222539) ^ [_235165, _235167] : [leq(_235167, _235165), -(gt(succ(_235165), _235167))], (364 ^ _222539) ^ [_235331, _235333] : [gt(succ(_235331), _235333), -(leq(_235333, _235331))], (370 ^ _222539) ^ [_235547, _235549] : [leq(n0, _235549), -(leq(uniform_int_rnd(_235547, _235549), _235549))], (376 ^ _222539) ^ [_235763, _235765] : [leq(n0, _235765), -(leq(n0, uniform_int_rnd(_235763, _235765)))], (382 ^ _222539) ^ [_236007, _236009, _236011, _236013] : [-(a_select2(tptp_const_array1(dim(_236011, _236009), _236007), _236013) = _236007), leq(_236011, _236013), leq(_236013, _236009)], (392 ^ _222539) ^ [_236414, _236416, _236418, _236420, _236422, _236424, _236426] : [-(a_select3(tptp_const_array2(dim(_236424, _236422), dim(_236418, _236416), _236414), _236426, _236420) = _236414), leq(_236424, _236426), leq(_236426, _236422), leq(_236418, _236420), leq(_236420, _236416)], (410 ^ _222539) ^ [_237009, _237011] : [413 ^ _222539 : [(414 ^ _222539) ^ [] : [-(leq(n0, 411 ^ [_237009, _237011]))], (416 ^ _222539) ^ [] : [-(leq(411 ^ [_237009, _237011], _237009))], (418 ^ _222539) ^ [] : [-(leq(n0, 412 ^ [_237009, _237011]))], (420 ^ _222539) ^ [] : [-(leq(412 ^ [_237009, _237011], _237009))], (422 ^ _222539) ^ [] : [a_select3(_237011, 411 ^ [_237009, _237011], 412 ^ [_237009, _237011]) = a_select3(_237011, 412 ^ [_237009, _237011], 411 ^ [_237009, _237011])]], 423 ^ _222539 : [(424 ^ _222539) ^ [_237766, _237768] : [-(a_select3(trans(_237011), _237768, _237766) = a_select3(trans(_237011), _237766, _237768)), leq(n0, _237768), leq(_237768, _237009), leq(n0, _237766), leq(_237766, _237009)]]], (442 ^ _222539) ^ [_238313, _238315] : [445 ^ _222539 : [(446 ^ _222539) ^ [] : [-(leq(n0, 443 ^ [_238313, _238315]))], (448 ^ _222539) ^ [] : [-(leq(443 ^ [_238313, _238315], _238313))], (450 ^ _222539) ^ [] : [-(leq(n0, 444 ^ [_238313, _238315]))], (452 ^ _222539) ^ [] : [-(leq(444 ^ [_238313, _238315], _238313))], (454 ^ _222539) ^ [] : [a_select3(_238315, 443 ^ [_238313, _238315], 444 ^ [_238313, _238315]) = a_select3(_238315, 444 ^ [_238313, _238315], 443 ^ [_238313, _238315])]], 455 ^ _222539 : [(456 ^ _222539) ^ [_239070, _239072] : [-(a_select3(inv(_238315), _239072, _239070) = a_select3(inv(_238315), _239070, _239072)), leq(n0, _239072), leq(_239072, _238313), leq(n0, _239070), leq(_239070, _238313)]]], (474 ^ _222539) ^ [_239617, _239619] : [477 ^ _222539 : [(478 ^ _222539) ^ [] : [-(leq(n0, 475 ^ [_239617, _239619]))], (480 ^ _222539) ^ [] : [-(leq(475 ^ [_239617, _239619], _239617))], (482 ^ _222539) ^ [] : [-(leq(n0, 476 ^ [_239617, _239619]))], (484 ^ _222539) ^ [] : [-(leq(476 ^ [_239617, _239619], _239617))], (486 ^ _222539) ^ [] : [a_select3(_239619, 475 ^ [_239617, _239619], 476 ^ [_239617, _239619]) = a_select3(_239619, 476 ^ [_239617, _239619], 475 ^ [_239617, _239619])]], 487 ^ _222539 : [(488 ^ _222539) ^ [_240430, _240432, _240434, _240436] : [-(a_select3(tptp_update3(_239619, _240432, _240432, _240430), _240436, _240434) = a_select3(tptp_update3(_239619, _240432, _240432, _240430), _240434, _240436)), leq(n0, _240436), leq(_240436, _239617), leq(n0, _240434), leq(_240434, _239617), leq(n0, _240432), leq(_240432, _239617)]]], (514 ^ _222539) ^ [_241249, _241251, _241253] : [519 ^ _222539 : [(520 ^ _222539) ^ [] : [-(leq(n0, 517 ^ [_241249, _241251, _241253]))], (522 ^ _222539) ^ [] : [-(leq(517 ^ [_241249, _241251, _241253], _241249))], (524 ^ _222539) ^ [] : [-(leq(n0, 518 ^ [_241249, _241251, _241253]))], (526 ^ _222539) ^ [] : [-(leq(518 ^ [_241249, _241251, _241253], _241249))], (528 ^ _222539) ^ [] : [a_select3(_241253, 517 ^ [_241249, _241251, _241253], 518 ^ [_241249, _241251, _241253]) = a_select3(_241253, 518 ^ [_241249, _241251, _241253], 517 ^ [_241249, _241251, _241253])]], 531 ^ _222539 : [(532 ^ _222539) ^ [] : [-(leq(n0, 529 ^ [_241249, _241251, _241253]))], (534 ^ _222539) ^ [] : [-(leq(529 ^ [_241249, _241251, _241253], _241249))], (536 ^ _222539) ^ [] : [-(leq(n0, 530 ^ [_241249, _241251, _241253]))], (538 ^ _222539) ^ [] : [-(leq(530 ^ [_241249, _241251, _241253], _241249))], (540 ^ _222539) ^ [] : [a_select3(_241251, 529 ^ [_241249, _241251, _241253], 530 ^ [_241249, _241251, _241253]) = a_select3(_241251, 530 ^ [_241249, _241251, _241253], 529 ^ [_241249, _241251, _241253])]], 541 ^ _222539 : [(542 ^ _222539) ^ [_242758, _242760] : [-(a_select3(tptp_madd(_241253, _241251), _242760, _242758) = a_select3(tptp_madd(_241253, _241251), _242758, _242760)), leq(n0, _242760), leq(_242760, _241249), leq(n0, _242758), leq(_242758, _241249)]]], (560 ^ _222539) ^ [_243344, _243346, _243348] : [565 ^ _222539 : [(566 ^ _222539) ^ [] : [-(leq(n0, 563 ^ [_243344, _243346, _243348]))], (568 ^ _222539) ^ [] : [-(leq(563 ^ [_243344, _243346, _243348], _243344))], (570 ^ _222539) ^ [] : [-(leq(n0, 564 ^ [_243344, _243346, _243348]))], (572 ^ _222539) ^ [] : [-(leq(564 ^ [_243344, _243346, _243348], _243344))], (574 ^ _222539) ^ [] : [a_select3(_243348, 563 ^ [_243344, _243346, _243348], 564 ^ [_243344, _243346, _243348]) = a_select3(_243348, 564 ^ [_243344, _243346, _243348], 563 ^ [_243344, _243346, _243348])]], 577 ^ _222539 : [(578 ^ _222539) ^ [] : [-(leq(n0, 575 ^ [_243344, _243346, _243348]))], (580 ^ _222539) ^ [] : [-(leq(575 ^ [_243344, _243346, _243348], _243344))], (582 ^ _222539) ^ [] : [-(leq(n0, 576 ^ [_243344, _243346, _243348]))], (584 ^ _222539) ^ [] : [-(leq(576 ^ [_243344, _243346, _243348], _243344))], (586 ^ _222539) ^ [] : [a_select3(_243346, 575 ^ [_243344, _243346, _243348], 576 ^ [_243344, _243346, _243348]) = a_select3(_243346, 576 ^ [_243344, _243346, _243348], 575 ^ [_243344, _243346, _243348])]], 587 ^ _222539 : [(588 ^ _222539) ^ [_244853, _244855] : [-(a_select3(tptp_msub(_243348, _243346), _244855, _244853) = a_select3(tptp_msub(_243348, _243346), _244853, _244855)), leq(n0, _244855), leq(_244855, _243344), leq(n0, _244853), leq(_244853, _243344)]]], (606 ^ _222539) ^ [_245439, _245441, _245443] : [609 ^ _222539 : [(610 ^ _222539) ^ [] : [-(leq(n0, 607 ^ [_245439, _245441, _245443]))], (612 ^ _222539) ^ [] : [-(leq(607 ^ [_245439, _245441, _245443], _245439))], (614 ^ _222539) ^ [] : [-(leq(n0, 608 ^ [_245439, _245441, _245443]))], (616 ^ _222539) ^ [] : [-(leq(608 ^ [_245439, _245441, _245443], _245439))], (618 ^ _222539) ^ [] : [a_select3(_245441, 607 ^ [_245439, _245441, _245443], 608 ^ [_245439, _245441, _245443]) = a_select3(_245441, 608 ^ [_245439, _245441, _245443], 607 ^ [_245439, _245441, _245443])]], 619 ^ _222539 : [(620 ^ _222539) ^ [_246252, _246254] : [-(a_select3(tptp_mmul(_245443, tptp_mmul(_245441, trans(_245443))), _246254, _246252) = a_select3(tptp_mmul(_245443, tptp_mmul(_245441, trans(_245443))), _246252, _246254)), leq(n0, _246254), leq(_246254, _245439), leq(n0, _246252), leq(_246252, _245439)]]], (638 ^ _222539) ^ [_246871, _246873, _246875, _246877] : [641 ^ _222539 : [(642 ^ _222539) ^ [] : [-(leq(n0, 639 ^ [_246871, _246873, _246875, _246877]))], (644 ^ _222539) ^ [] : [-(leq(639 ^ [_246871, _246873, _246875, _246877], _246871))], (646 ^ _222539) ^ [] : [-(leq(n0, 640 ^ [_246871, _246873, _246875, _246877]))], (648 ^ _222539) ^ [] : [-(leq(640 ^ [_246871, _246873, _246875, _246877], _246871))], (650 ^ _222539) ^ [] : [a_select3(_246875, 639 ^ [_246871, _246873, _246875, _246877], 640 ^ [_246871, _246873, _246875, _246877]) = a_select3(_246875, 640 ^ [_246871, _246873, _246875, _246877], 639 ^ [_246871, _246873, _246875, _246877])]], 651 ^ _222539 : [(652 ^ _222539) ^ [_247728, _247730] : [-(a_select3(tptp_mmul(_246877, tptp_mmul(_246875, trans(_246877))), _247730, _247728) = a_select3(tptp_mmul(_246877, tptp_mmul(_246875, trans(_246877))), _247728, _247730)), leq(n0, _247730), leq(_247730, _246873), leq(n0, _247728), leq(_247728, _246873)]]], (670 ^ _222539) ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437] : [675 ^ _222539 : [(676 ^ _222539) ^ [] : [-(leq(n0, 673 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437]))], (678 ^ _222539) ^ [] : [-(leq(673 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], _248423))], (680 ^ _222539) ^ [] : [-(leq(n0, 674 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437]))], (682 ^ _222539) ^ [] : [-(leq(674 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], _248423))], (684 ^ _222539) ^ [] : [a_select3(_248431, 673 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], 674 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437]) = a_select3(_248431, 674 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], 673 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437])]], 689 ^ _222539 : [(690 ^ _222539) ^ [] : [-(leq(n0, 687 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437]))], (692 ^ _222539) ^ [] : [-(leq(687 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], _248425))], (694 ^ _222539) ^ [] : [-(leq(n0, 688 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437]))], (696 ^ _222539) ^ [] : [-(leq(688 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], _248425))], (698 ^ _222539) ^ [] : [a_select3(_248437, 687 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], 688 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437]) = a_select3(_248437, 688 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], 687 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437])]], 701 ^ _222539 : [(702 ^ _222539) ^ [] : [-(leq(n0, 699 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437]))], (704 ^ _222539) ^ [] : [-(leq(699 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], _248425))], (706 ^ _222539) ^ [] : [-(leq(n0, 700 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437]))], (708 ^ _222539) ^ [] : [-(leq(700 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], _248425))], (710 ^ _222539) ^ [] : [a_select3(_248427, 699 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], 700 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437]) = a_select3(_248427, 700 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437], 699 ^ [_248423, _248425, _248427, _248429, _248431, _248433, _248435, _248437])]], 711 ^ _222539 : [(712 ^ _222539) ^ [_251351, _251353] : [-(a_select3(tptp_madd(_248437, tptp_mmul(_248435, tptp_mmul(tptp_madd(tptp_mmul(_248433, tptp_mmul(_248431, trans(_248433))), tptp_mmul(_248429, tptp_mmul(_248427, trans(_248429)))), trans(_248435)))), _251353, _251351) = a_select3(tptp_madd(_248437, tptp_mmul(_248435, tptp_mmul(tptp_madd(tptp_mmul(_248433, tptp_mmul(_248431, trans(_248433))), tptp_mmul(_248429, tptp_mmul(_248427, trans(_248429)))), trans(_248435)))), _251351, _251353)), leq(n0, _251353), leq(_251353, _248425), leq(n0, _251351), leq(_251351, _248425)]]], (730 ^ _222539) ^ [_252104] : [-(sum(n0, tptp_minus_1, _252104) = n0)], (732 ^ _222539) ^ [_252186] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _252186))], (734 ^ _222539) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _222539) ^ [_252321] : [-(plus(_252321, n1) = succ(_252321))], (738 ^ _222539) ^ [_252404] : [-(plus(n1, _252404) = succ(_252404))], (740 ^ _222539) ^ [_252487] : [-(plus(_252487, n2) = succ(succ(_252487)))], (742 ^ _222539) ^ [_252572] : [-(plus(n2, _252572) = succ(succ(_252572)))], (744 ^ _222539) ^ [_252657] : [-(plus(_252657, n3) = succ(succ(succ(_252657))))], (746 ^ _222539) ^ [_252744] : [-(plus(n3, _252744) = succ(succ(succ(_252744))))], (748 ^ _222539) ^ [_252831] : [-(plus(_252831, n4) = succ(succ(succ(succ(_252831)))))], (750 ^ _222539) ^ [_252920] : [-(plus(n4, _252920) = succ(succ(succ(succ(_252920)))))], (752 ^ _222539) ^ [_253009] : [-(plus(_253009, n5) = succ(succ(succ(succ(succ(_253009))))))], (754 ^ _222539) ^ [_253100] : [-(plus(n5, _253100) = succ(succ(succ(succ(succ(_253100))))))], (756 ^ _222539) ^ [_253191] : [-(minus(_253191, n1) = pred(_253191))], (758 ^ _222539) ^ [_253274] : [-(pred(succ(_253274)) = _253274)], (760 ^ _222539) ^ [_253356] : [-(succ(pred(_253356)) = _253356)], (762 ^ _222539) ^ [_253496, _253498] : [leq(succ(_253498), succ(_253496)), -(leq(_253498, _253496))], (768 ^ _222539) ^ [_253666, _253668] : [leq(_253668, _253666), -(leq(succ(_253668), succ(_253666)))], (774 ^ _222539) ^ [_253886, _253888] : [leq(succ(_253888), _253886), -(gt(_253886, _253888))], (780 ^ _222539) ^ [_254100, _254102] : [leq(minus(_254102, _254100), _254102), -(leq(n0, _254100))], (786 ^ _222539) ^ [_254329, _254331, _254333, _254335] : [-(a_select3(tptp_update3(_254335, _254333, _254331, _254329), _254333, _254331) = _254329)], (788 ^ _222539) ^ [_254521, _254523, _254525, _254527, _254529, _254531, _254533] : [-(a_select3(tptp_update3(_254525, _254533, _254531, _254521), _254529, _254527) = _254523), -(_254533 = _254529), _254531 = _254527, a_select3(_254525, _254529, _254527) = _254523], (802 ^ _222539) ^ [_255064, _255066, _255068, _255070, _255072, _255074] : [-(a_select3(tptp_update3(_255066, _255070, _255068, _255064), _255074, _255072) = _255064), 807 ^ _222539 : [(808 ^ _222539) ^ [] : [-(leq(n0, 805 ^ [_255064, _255066, _255068, _255070, _255072, _255074]))], (810 ^ _222539) ^ [] : [-(leq(n0, 806 ^ [_255064, _255066, _255068, _255070, _255072, _255074]))], (812 ^ _222539) ^ [] : [-(leq(805 ^ [_255064, _255066, _255068, _255070, _255072, _255074], _255070))], (814 ^ _222539) ^ [] : [-(leq(806 ^ [_255064, _255066, _255068, _255070, _255072, _255074], _255068))], (816 ^ _222539) ^ [] : [a_select3(_255066, 805 ^ [_255064, _255066, _255068, _255070, _255072, _255074], 806 ^ [_255064, _255066, _255068, _255070, _255072, _255074]) = _255064]], leq(n0, _255074), leq(_255074, _255070), leq(n0, _255072), leq(_255072, _255068)], (834 ^ _222539) ^ [_256406, _256408, _256410] : [-(a_select2(tptp_update2(_256410, _256408, _256406), _256408) = _256406)], (836 ^ _222539) ^ [_256566, _256568, _256570, _256572, _256574] : [-(a_select2(tptp_update2(_256570, _256574, _256566), _256572) = _256568), -(_256574 = _256572), a_select2(_256570, _256572) = _256568], (865 ^ _222539) ^ [] : [-(true)], (867 ^ _222539) ^ [] : [def = use], (846 ^ _222539) ^ [_256946, _256948, _256950, _256952] : [-(a_select2(tptp_update2(_256948, _256950, _256946), _256952) = _256946), 850 ^ _222539 : [(851 ^ _222539) ^ [] : [-(leq(n0, 849 ^ [_256946, _256948, _256950, _256952]))], (853 ^ _222539) ^ [] : [-(leq(849 ^ [_256946, _256948, _256950, _256952], _256950))], (855 ^ _222539) ^ [] : [a_select2(_256948, 849 ^ [_256946, _256948, _256950, _256952]) = _256946]], leq(n0, _256952), leq(_256952, _256950)]], input).
% 0.35/1.39  ncf('1',plain,[n1 = 1076 ^ [], n2 = 1077 ^ []],start(1123 ^ 0)).
% 0.35/1.39  ncf('1.1',plain,[-(n1 = 1076 ^ [])],extension(1267 ^ 1)).
% 0.35/1.39  ncf('1.2',plain,[-(n2 = 1077 ^ [])],extension(1271 ^ 1)).
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------