%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV082+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 12:19:56 EDT 2023

% Result   : Theorem 0.35s 1.38s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV082+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n010.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 02:42:11 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.38  
% 0.35/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  ncf(matrix, plain, [(1041 ^ _195103) ^ [] : [-(leq(n0, pv58))], (1043 ^ _195103) ^ [] : [-(leq(pv58, minus(n5, n1)))], (1045 ^ _195103) ^ [] : [leq(n0, pv58), leq(pv58, minus(n5, n1))], (2 ^ _195103) ^ [_195247] : [-(_195247 = _195247)], (4 ^ _195103) ^ [_195354, _195356] : [_195356 = _195354, -(_195354 = _195356)], (10 ^ _195103) ^ [_195558, _195560, _195562] : [-(_195562 = _195558), _195562 = _195560, _195560 = _195558], (20 ^ _195103) ^ [_195899, _195901, _195903, _195905] : [-(lt(_195903, _195899)), lt(_195905, _195901), _195905 = _195903, _195901 = _195899], (34 ^ _195103) ^ [_196343, _196345, _196347, _196349] : [-(geq(_196347, _196343)), geq(_196349, _196345), _196349 = _196347, _196345 = _196343], (48 ^ _195103) ^ [_196787, _196789, _196791, _196793] : [-(gt(_196791, _196787)), gt(_196793, _196789), _196793 = _196791, _196789 = _196787], (62 ^ _195103) ^ [_197211, _197213, _197215, _197217] : [-(leq(_197215, _197211)), leq(_197217, _197213), _197217 = _197215, _197213 = _197211], (76 ^ _195103) ^ [_197667, _197669, _197671, _197673] : [-(uniform_int_rnd(_197673, _197669) = uniform_int_rnd(_197671, _197667)), _197673 = _197671, _197669 = _197667], (86 ^ _195103) ^ [_198026, _198028, _198030, _198032] : [-(tptp_const_array1(_198032, _198028) = tptp_const_array1(_198030, _198026)), _198032 = _198030, _198028 = _198026], (96 ^ _195103) ^ [_198413, _198415, _198417, _198419, _198421, _198423] : [-(tptp_const_array2(_198423, _198419, _198415) = tptp_const_array2(_198421, _198417, _198413)), _198423 = _198421, _198419 = _198417, _198415 = _198413], (110 ^ _195103) ^ [_198901, _198903, _198905, _198907] : [-(dim(_198907, _198903) = dim(_198905, _198901)), _198907 = _198905, _198903 = _198901], (120 ^ _195103) ^ [_199232, _199234] : [_199234 = _199232, -(inv(_199234) = inv(_199232))], (126 ^ _195103) ^ [_199478, _199480, _199482, _199484] : [-(tptp_msub(_199484, _199480) = tptp_msub(_199482, _199478)), _199484 = _199482, _199480 = _199478], (136 ^ _195103) ^ [_199837, _199839, _199841, _199843] : [-(tptp_madd(_199843, _199839) = tptp_madd(_199841, _199837)), _199843 = _199841, _199839 = _199837], (146 ^ _195103) ^ [_200196, _200198, _200200, _200202] : [-(tptp_mmul(_200202, _200198) = tptp_mmul(_200200, _200196)), _200202 = _200200, _200198 = _200196], (156 ^ _195103) ^ [_200527, _200529] : [_200529 = _200527, -(trans(_200529) = trans(_200527))], (162 ^ _195103) ^ [_200801, _200803, _200805, _200807, _200809, _200811] : [-(sum(_200811, _200807, _200803) = sum(_200809, _200805, _200801)), _200811 = _200809, _200807 = _200805, _200803 = _200801], (176 ^ _195103) ^ [_201289, _201291, _201293, _201295] : [-(plus(_201295, _201291) = plus(_201293, _201289)), _201295 = _201293, _201291 = _201289], (186 ^ _195103) ^ [_201620, _201622] : [_201622 = _201620, -(pred(_201622) = pred(_201620))], (192 ^ _195103) ^ [_201894, _201896, _201898, _201900, _201902, _201904] : [-(a_select3(_201904, _201900, _201896) = a_select3(_201902, _201898, _201894)), _201904 = _201902, _201900 = _201898, _201896 = _201894], (206 ^ _195103) ^ [_202438, _202440, _202442, _202444, _202446, _202448, _202450, _202452] : [-(tptp_update3(_202452, _202448, _202444, _202440) = tptp_update3(_202450, _202446, _202442, _202438)), _202452 = _202450, _202448 = _202446, _202444 = _202442, _202440 = _202438], (224 ^ _195103) ^ [_203071, _203073, _203075, _203077] : [-(a_select2(_203077, _203073) = a_select2(_203075, _203071)), _203077 = _203075, _203073 = _203071], (234 ^ _195103) ^ [_203458, _203460, _203462, _203464, _203466, _203468] : [-(tptp_update2(_203468, _203464, _203460) = tptp_update2(_203466, _203462, _203458)), _203468 = _203466, _203464 = _203462, _203460 = _203458], (248 ^ _195103) ^ [_203918, _203920] : [_203920 = _203918, -(succ(_203920) = succ(_203918))], (254 ^ _195103) ^ [_204144, _204146, _204148, _204150] : [-(minus(_204150, _204146) = minus(_204148, _204144)), _204150 = _204148, _204146 = _204144], (869 ^ _195103) ^ [] : [-(gt(n5, n4))], (871 ^ _195103) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _195103) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _195103) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _195103) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _195103) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _195103) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _195103) ^ [] : [-(gt(n4, n0))], (885 ^ _195103) ^ [] : [-(gt(n5, n0))], (887 ^ _195103) ^ [] : [-(gt(n1, n0))], (889 ^ _195103) ^ [] : [-(gt(n2, n0))], (891 ^ _195103) ^ [] : [-(gt(n3, n0))], (893 ^ _195103) ^ [] : [-(gt(n4, n1))], (895 ^ _195103) ^ [] : [-(gt(n5, n1))], (897 ^ _195103) ^ [] : [-(gt(n2, n1))], (899 ^ _195103) ^ [] : [-(gt(n3, n1))], (901 ^ _195103) ^ [] : [-(gt(n4, n2))], (903 ^ _195103) ^ [] : [-(gt(n5, n2))], (905 ^ _195103) ^ [] : [-(gt(n3, n2))], (907 ^ _195103) ^ [] : [-(gt(n4, n3))], (909 ^ _195103) ^ [] : [-(gt(n5, n3))], (911 ^ _195103) ^ [_231613] : [leq(n0, _231613), leq(_231613, n4), -(_231613 = n0), -(_231613 = n1), -(_231613 = n2), -(_231613 = n3), -(_231613 = n4)], (937 ^ _195103) ^ [_232234] : [leq(n0, _232234), leq(_232234, n5), -(_232234 = n0), -(_232234 = n1), -(_232234 = n2), -(_232234 = n3), -(_232234 = n4), -(_232234 = n5)], (967 ^ _195103) ^ [_232941] : [-(_232941 = n0), leq(n0, _232941), leq(_232941, n0)], (977 ^ _195103) ^ [_233216] : [leq(n0, _233216), leq(_233216, n1), -(_233216 = n0), -(_233216 = n1)], (991 ^ _195103) ^ [_233579] : [leq(n0, _233579), leq(_233579, n2), -(_233579 = n0), -(_233579 = n1), -(_233579 = n2)], (1031 ^ _195103) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _195103) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _195103) ^ [] : [-(succ(n0) = n1)], (1037 ^ _195103) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _195103) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _195103) ^ [_234028] : [leq(n0, _234028), leq(_234028, n3), -(_234028 = n0), -(_234028 = n1), -(_234028 = n2), -(_234028 = n3)], (264 ^ _195103) ^ [_204575, _204577] : [-(gt(_204577, _204575)), -(gt(_204575, _204577)), -(_204577 = _204575)], (274 ^ _195103) ^ [_204890, _204892, _204894] : [-(gt(_204894, _204890)), gt(_204894, _204892), gt(_204892, _204890)], (284 ^ _195103) ^ [_205169] : [gt(_205169, _205169)], (286 ^ _195103) ^ [_205247] : [-(leq(_205247, _205247))], (288 ^ _195103) ^ [_205368, _205370, _205372] : [-(leq(_205372, _205368)), leq(_205372, _205370), leq(_205370, _205368)], (298 ^ _195103) ^ [_205706, _205708] : [lt(_205708, _205706), -(gt(_205706, _205708))], (304 ^ _195103) ^ [_205868, _205870] : [gt(_205868, _205870), -(lt(_205870, _205868))], (310 ^ _195103) ^ [_206109, _206111] : [geq(_206111, _206109), -(leq(_206109, _206111))], (316 ^ _195103) ^ [_206271, _206273] : [leq(_206271, _206273), -(geq(_206273, _206271))], (322 ^ _195103) ^ [_206483, _206485] : [gt(_206483, _206485), -(leq(_206485, _206483))], (328 ^ _195103) ^ [_206693, _206695] : [-(gt(_206693, _206695)), leq(_206695, _206693), -(_206695 = _206693)], (338 ^ _195103) ^ [_207024, _207026] : [leq(_207026, pred(_207024)), -(gt(_207024, _207026))], (344 ^ _195103) ^ [_207190, _207192] : [gt(_207190, _207192), -(leq(_207192, pred(_207190)))], (350 ^ _195103) ^ [_207377] : [-(gt(succ(_207377), _207377))], (352 ^ _195103) ^ [_207486, _207488] : [leq(_207488, _207486), -(leq(_207488, succ(_207486)))], (358 ^ _195103) ^ [_207729, _207731] : [leq(_207731, _207729), -(gt(succ(_207729), _207731))], (364 ^ _195103) ^ [_207895, _207897] : [gt(succ(_207895), _207897), -(leq(_207897, _207895))], (370 ^ _195103) ^ [_208111, _208113] : [leq(n0, _208113), -(leq(uniform_int_rnd(_208111, _208113), _208113))], (376 ^ _195103) ^ [_208327, _208329] : [leq(n0, _208329), -(leq(n0, uniform_int_rnd(_208327, _208329)))], (382 ^ _195103) ^ [_208571, _208573, _208575, _208577] : [-(a_select2(tptp_const_array1(dim(_208575, _208573), _208571), _208577) = _208571), leq(_208575, _208577), leq(_208577, _208573)], (392 ^ _195103) ^ [_208978, _208980, _208982, _208984, _208986, _208988, _208990] : [-(a_select3(tptp_const_array2(dim(_208988, _208986), dim(_208982, _208980), _208978), _208990, _208984) = _208978), leq(_208988, _208990), leq(_208990, _208986), leq(_208982, _208984), leq(_208984, _208980)], (410 ^ _195103) ^ [_209573, _209575] : [413 ^ _195103 : [(414 ^ _195103) ^ [] : [-(leq(n0, 411 ^ [_209573, _209575]))], (416 ^ _195103) ^ [] : [-(leq(411 ^ [_209573, _209575], _209573))], (418 ^ _195103) ^ [] : [-(leq(n0, 412 ^ [_209573, _209575]))], (420 ^ _195103) ^ [] : [-(leq(412 ^ [_209573, _209575], _209573))], (422 ^ _195103) ^ [] : [a_select3(_209575, 411 ^ [_209573, _209575], 412 ^ [_209573, _209575]) = a_select3(_209575, 412 ^ [_209573, _209575], 411 ^ [_209573, _209575])]], 423 ^ _195103 : [(424 ^ _195103) ^ [_210330, _210332] : [-(a_select3(trans(_209575), _210332, _210330) = a_select3(trans(_209575), _210330, _210332)), leq(n0, _210332), leq(_210332, _209573), leq(n0, _210330), leq(_210330, _209573)]]], (442 ^ _195103) ^ [_210877, _210879] : [445 ^ _195103 : [(446 ^ _195103) ^ [] : [-(leq(n0, 443 ^ [_210877, _210879]))], (448 ^ _195103) ^ [] : [-(leq(443 ^ [_210877, _210879], _210877))], (450 ^ _195103) ^ [] : [-(leq(n0, 444 ^ [_210877, _210879]))], (452 ^ _195103) ^ [] : [-(leq(444 ^ [_210877, _210879], _210877))], (454 ^ _195103) ^ [] : [a_select3(_210879, 443 ^ [_210877, _210879], 444 ^ [_210877, _210879]) = a_select3(_210879, 444 ^ [_210877, _210879], 443 ^ [_210877, _210879])]], 455 ^ _195103 : [(456 ^ _195103) ^ [_211634, _211636] : [-(a_select3(inv(_210879), _211636, _211634) = a_select3(inv(_210879), _211634, _211636)), leq(n0, _211636), leq(_211636, _210877), leq(n0, _211634), leq(_211634, _210877)]]], (474 ^ _195103) ^ [_212181, _212183] : [477 ^ _195103 : [(478 ^ _195103) ^ [] : [-(leq(n0, 475 ^ [_212181, _212183]))], (480 ^ _195103) ^ [] : [-(leq(475 ^ [_212181, _212183], _212181))], (482 ^ _195103) ^ [] : [-(leq(n0, 476 ^ [_212181, _212183]))], (484 ^ _195103) ^ [] : [-(leq(476 ^ [_212181, _212183], _212181))], (486 ^ _195103) ^ [] : [a_select3(_212183, 475 ^ [_212181, _212183], 476 ^ [_212181, _212183]) = a_select3(_212183, 476 ^ [_212181, _212183], 475 ^ [_212181, _212183])]], 487 ^ _195103 : [(488 ^ _195103) ^ [_212994, _212996, _212998, _213000] : [-(a_select3(tptp_update3(_212183, _212996, _212996, _212994), _213000, _212998) = a_select3(tptp_update3(_212183, _212996, _212996, _212994), _212998, _213000)), leq(n0, _213000), leq(_213000, _212181), leq(n0, _212998), leq(_212998, _212181), leq(n0, _212996), leq(_212996, _212181)]]], (514 ^ _195103) ^ [_213813, _213815, _213817] : [519 ^ _195103 : [(520 ^ _195103) ^ [] : [-(leq(n0, 517 ^ [_213813, _213815, _213817]))], (522 ^ _195103) ^ [] : [-(leq(517 ^ [_213813, _213815, _213817], _213813))], (524 ^ _195103) ^ [] : [-(leq(n0, 518 ^ [_213813, _213815, _213817]))], (526 ^ _195103) ^ [] : [-(leq(518 ^ [_213813, _213815, _213817], _213813))], (528 ^ _195103) ^ [] : [a_select3(_213817, 517 ^ [_213813, _213815, _213817], 518 ^ [_213813, _213815, _213817]) = a_select3(_213817, 518 ^ [_213813, _213815, _213817], 517 ^ [_213813, _213815, _213817])]], 531 ^ _195103 : [(532 ^ _195103) ^ [] : [-(leq(n0, 529 ^ [_213813, _213815, _213817]))], (534 ^ _195103) ^ [] : [-(leq(529 ^ [_213813, _213815, _213817], _213813))], (536 ^ _195103) ^ [] : [-(leq(n0, 530 ^ [_213813, _213815, _213817]))], (538 ^ _195103) ^ [] : [-(leq(530 ^ [_213813, _213815, _213817], _213813))], (540 ^ _195103) ^ [] : [a_select3(_213815, 529 ^ [_213813, _213815, _213817], 530 ^ [_213813, _213815, _213817]) = a_select3(_213815, 530 ^ [_213813, _213815, _213817], 529 ^ [_213813, _213815, _213817])]], 541 ^ _195103 : [(542 ^ _195103) ^ [_215322, _215324] : [-(a_select3(tptp_madd(_213817, _213815), _215324, _215322) = a_select3(tptp_madd(_213817, _213815), _215322, _215324)), leq(n0, _215324), leq(_215324, _213813), leq(n0, _215322), leq(_215322, _213813)]]], (560 ^ _195103) ^ [_215908, _215910, _215912] : [565 ^ _195103 : [(566 ^ _195103) ^ [] : [-(leq(n0, 563 ^ [_215908, _215910, _215912]))], (568 ^ _195103) ^ [] : [-(leq(563 ^ [_215908, _215910, _215912], _215908))], (570 ^ _195103) ^ [] : [-(leq(n0, 564 ^ [_215908, _215910, _215912]))], (572 ^ _195103) ^ [] : [-(leq(564 ^ [_215908, _215910, _215912], _215908))], (574 ^ _195103) ^ [] : [a_select3(_215912, 563 ^ [_215908, _215910, _215912], 564 ^ [_215908, _215910, _215912]) = a_select3(_215912, 564 ^ [_215908, _215910, _215912], 563 ^ [_215908, _215910, _215912])]], 577 ^ _195103 : [(578 ^ _195103) ^ [] : [-(leq(n0, 575 ^ [_215908, _215910, _215912]))], (580 ^ _195103) ^ [] : [-(leq(575 ^ [_215908, _215910, _215912], _215908))], (582 ^ _195103) ^ [] : [-(leq(n0, 576 ^ [_215908, _215910, _215912]))], (584 ^ _195103) ^ [] : [-(leq(576 ^ [_215908, _215910, _215912], _215908))], (586 ^ _195103) ^ [] : [a_select3(_215910, 575 ^ [_215908, _215910, _215912], 576 ^ [_215908, _215910, _215912]) = a_select3(_215910, 576 ^ [_215908, _215910, _215912], 575 ^ [_215908, _215910, _215912])]], 587 ^ _195103 : [(588 ^ _195103) ^ [_217417, _217419] : [-(a_select3(tptp_msub(_215912, _215910), _217419, _217417) = a_select3(tptp_msub(_215912, _215910), _217417, _217419)), leq(n0, _217419), leq(_217419, _215908), leq(n0, _217417), leq(_217417, _215908)]]], (606 ^ _195103) ^ [_218003, _218005, _218007] : [609 ^ _195103 : [(610 ^ _195103) ^ [] : [-(leq(n0, 607 ^ [_218003, _218005, _218007]))], (612 ^ _195103) ^ [] : [-(leq(607 ^ [_218003, _218005, _218007], _218003))], (614 ^ _195103) ^ [] : [-(leq(n0, 608 ^ [_218003, _218005, _218007]))], (616 ^ _195103) ^ [] : [-(leq(608 ^ [_218003, _218005, _218007], _218003))], (618 ^ _195103) ^ [] : [a_select3(_218005, 607 ^ [_218003, _218005, _218007], 608 ^ [_218003, _218005, _218007]) = a_select3(_218005, 608 ^ [_218003, _218005, _218007], 607 ^ [_218003, _218005, _218007])]], 619 ^ _195103 : [(620 ^ _195103) ^ [_218816, _218818] : [-(a_select3(tptp_mmul(_218007, tptp_mmul(_218005, trans(_218007))), _218818, _218816) = a_select3(tptp_mmul(_218007, tptp_mmul(_218005, trans(_218007))), _218816, _218818)), leq(n0, _218818), leq(_218818, _218003), leq(n0, _218816), leq(_218816, _218003)]]], (638 ^ _195103) ^ [_219435, _219437, _219439, _219441] : [641 ^ _195103 : [(642 ^ _195103) ^ [] : [-(leq(n0, 639 ^ [_219435, _219437, _219439, _219441]))], (644 ^ _195103) ^ [] : [-(leq(639 ^ [_219435, _219437, _219439, _219441], _219435))], (646 ^ _195103) ^ [] : [-(leq(n0, 640 ^ [_219435, _219437, _219439, _219441]))], (648 ^ _195103) ^ [] : [-(leq(640 ^ [_219435, _219437, _219439, _219441], _219435))], (650 ^ _195103) ^ [] : [a_select3(_219439, 639 ^ [_219435, _219437, _219439, _219441], 640 ^ [_219435, _219437, _219439, _219441]) = a_select3(_219439, 640 ^ [_219435, _219437, _219439, _219441], 639 ^ [_219435, _219437, _219439, _219441])]], 651 ^ _195103 : [(652 ^ _195103) ^ [_220292, _220294] : [-(a_select3(tptp_mmul(_219441, tptp_mmul(_219439, trans(_219441))), _220294, _220292) = a_select3(tptp_mmul(_219441, tptp_mmul(_219439, trans(_219441))), _220292, _220294)), leq(n0, _220294), leq(_220294, _219437), leq(n0, _220292), leq(_220292, _219437)]]], (670 ^ _195103) ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001] : [675 ^ _195103 : [(676 ^ _195103) ^ [] : [-(leq(n0, 673 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001]))], (678 ^ _195103) ^ [] : [-(leq(673 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], _220987))], (680 ^ _195103) ^ [] : [-(leq(n0, 674 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001]))], (682 ^ _195103) ^ [] : [-(leq(674 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], _220987))], (684 ^ _195103) ^ [] : [a_select3(_220995, 673 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], 674 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001]) = a_select3(_220995, 674 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], 673 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001])]], 689 ^ _195103 : [(690 ^ _195103) ^ [] : [-(leq(n0, 687 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001]))], (692 ^ _195103) ^ [] : [-(leq(687 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], _220989))], (694 ^ _195103) ^ [] : [-(leq(n0, 688 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001]))], (696 ^ _195103) ^ [] : [-(leq(688 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], _220989))], (698 ^ _195103) ^ [] : [a_select3(_221001, 687 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], 688 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001]) = a_select3(_221001, 688 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], 687 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001])]], 701 ^ _195103 : [(702 ^ _195103) ^ [] : [-(leq(n0, 699 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001]))], (704 ^ _195103) ^ [] : [-(leq(699 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], _220989))], (706 ^ _195103) ^ [] : [-(leq(n0, 700 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001]))], (708 ^ _195103) ^ [] : [-(leq(700 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], _220989))], (710 ^ _195103) ^ [] : [a_select3(_220991, 699 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], 700 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001]) = a_select3(_220991, 700 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001], 699 ^ [_220987, _220989, _220991, _220993, _220995, _220997, _220999, _221001])]], 711 ^ _195103 : [(712 ^ _195103) ^ [_223915, _223917] : [-(a_select3(tptp_madd(_221001, tptp_mmul(_220999, tptp_mmul(tptp_madd(tptp_mmul(_220997, tptp_mmul(_220995, trans(_220997))), tptp_mmul(_220993, tptp_mmul(_220991, trans(_220993)))), trans(_220999)))), _223917, _223915) = a_select3(tptp_madd(_221001, tptp_mmul(_220999, tptp_mmul(tptp_madd(tptp_mmul(_220997, tptp_mmul(_220995, trans(_220997))), tptp_mmul(_220993, tptp_mmul(_220991, trans(_220993)))), trans(_220999)))), _223915, _223917)), leq(n0, _223917), leq(_223917, _220989), leq(n0, _223915), leq(_223915, _220989)]]], (730 ^ _195103) ^ [_224668] : [-(sum(n0, tptp_minus_1, _224668) = n0)], (732 ^ _195103) ^ [_224750] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _224750))], (734 ^ _195103) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _195103) ^ [_224885] : [-(plus(_224885, n1) = succ(_224885))], (738 ^ _195103) ^ [_224968] : [-(plus(n1, _224968) = succ(_224968))], (740 ^ _195103) ^ [_225051] : [-(plus(_225051, n2) = succ(succ(_225051)))], (742 ^ _195103) ^ [_225136] : [-(plus(n2, _225136) = succ(succ(_225136)))], (744 ^ _195103) ^ [_225221] : [-(plus(_225221, n3) = succ(succ(succ(_225221))))], (746 ^ _195103) ^ [_225308] : [-(plus(n3, _225308) = succ(succ(succ(_225308))))], (748 ^ _195103) ^ [_225395] : [-(plus(_225395, n4) = succ(succ(succ(succ(_225395)))))], (750 ^ _195103) ^ [_225484] : [-(plus(n4, _225484) = succ(succ(succ(succ(_225484)))))], (752 ^ _195103) ^ [_225573] : [-(plus(_225573, n5) = succ(succ(succ(succ(succ(_225573))))))], (754 ^ _195103) ^ [_225664] : [-(plus(n5, _225664) = succ(succ(succ(succ(succ(_225664))))))], (756 ^ _195103) ^ [_225755] : [-(minus(_225755, n1) = pred(_225755))], (758 ^ _195103) ^ [_225838] : [-(pred(succ(_225838)) = _225838)], (760 ^ _195103) ^ [_225920] : [-(succ(pred(_225920)) = _225920)], (762 ^ _195103) ^ [_226060, _226062] : [leq(succ(_226062), succ(_226060)), -(leq(_226062, _226060))], (768 ^ _195103) ^ [_226230, _226232] : [leq(_226232, _226230), -(leq(succ(_226232), succ(_226230)))], (774 ^ _195103) ^ [_226450, _226452] : [leq(succ(_226452), _226450), -(gt(_226450, _226452))], (780 ^ _195103) ^ [_226664, _226666] : [leq(minus(_226666, _226664), _226666), -(leq(n0, _226664))], (786 ^ _195103) ^ [_226893, _226895, _226897, _226899] : [-(a_select3(tptp_update3(_226899, _226897, _226895, _226893), _226897, _226895) = _226893)], (788 ^ _195103) ^ [_227085, _227087, _227089, _227091, _227093, _227095, _227097] : [-(a_select3(tptp_update3(_227089, _227097, _227095, _227085), _227093, _227091) = _227087), -(_227097 = _227093), _227095 = _227091, a_select3(_227089, _227093, _227091) = _227087], (802 ^ _195103) ^ [_227628, _227630, _227632, _227634, _227636, _227638] : [-(a_select3(tptp_update3(_227630, _227634, _227632, _227628), _227638, _227636) = _227628), 807 ^ _195103 : [(808 ^ _195103) ^ [] : [-(leq(n0, 805 ^ [_227628, _227630, _227632, _227634, _227636, _227638]))], (810 ^ _195103) ^ [] : [-(leq(n0, 806 ^ [_227628, _227630, _227632, _227634, _227636, _227638]))], (812 ^ _195103) ^ [] : [-(leq(805 ^ [_227628, _227630, _227632, _227634, _227636, _227638], _227634))], (814 ^ _195103) ^ [] : [-(leq(806 ^ [_227628, _227630, _227632, _227634, _227636, _227638], _227632))], (816 ^ _195103) ^ [] : [a_select3(_227630, 805 ^ [_227628, _227630, _227632, _227634, _227636, _227638], 806 ^ [_227628, _227630, _227632, _227634, _227636, _227638]) = _227628]], leq(n0, _227638), leq(_227638, _227634), leq(n0, _227636), leq(_227636, _227632)], (834 ^ _195103) ^ [_228970, _228972, _228974] : [-(a_select2(tptp_update2(_228974, _228972, _228970), _228972) = _228970)], (836 ^ _195103) ^ [_229130, _229132, _229134, _229136, _229138] : [-(a_select2(tptp_update2(_229134, _229138, _229130), _229136) = _229132), -(_229138 = _229136), a_select2(_229134, _229136) = _229132], (865 ^ _195103) ^ [] : [-(true)], (867 ^ _195103) ^ [] : [def = use], (846 ^ _195103) ^ [_229510, _229512, _229514, _229516] : [-(a_select2(tptp_update2(_229512, _229514, _229510), _229516) = _229510), 850 ^ _195103 : [(851 ^ _195103) ^ [] : [-(leq(n0, 849 ^ [_229510, _229512, _229514, _229516]))], (853 ^ _195103) ^ [] : [-(leq(849 ^ [_229510, _229512, _229514, _229516], _229514))], (855 ^ _195103) ^ [] : [a_select2(_229512, 849 ^ [_229510, _229512, _229514, _229516]) = _229510]], leq(n0, _229516), leq(_229516, _229514)]], input).
% 0.35/1.38  ncf('1',plain,[leq(n0, pv58), leq(pv58, minus(n5, n1))],start(1045 ^ 0)).
% 0.35/1.38  ncf('1.1',plain,[-(leq(n0, pv58))],extension(1041 ^ 1)).
% 0.35/1.38  ncf('1.2',plain,[-(leq(pv58, minus(n5, n1)))],extension(1043 ^ 1)).
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------