%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV057+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 12:19:51 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
% 0.06/0.12 % Problem : SWV057+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 02:55:42 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(1041 ^ _194977) ^ [] : [-(leq(n0, pv62))], (1043 ^ _194977) ^ [] : [-(leq(pv62, minus(n5, n1)))], (1045 ^ _194977) ^ [] : [true], (2 ^ _194977) ^ [_195121] : [-(_195121 = _195121)], (4 ^ _194977) ^ [_195228, _195230] : [_195230 = _195228, -(_195228 = _195230)], (10 ^ _194977) ^ [_195432, _195434, _195436] : [-(_195436 = _195432), _195436 = _195434, _195434 = _195432], (20 ^ _194977) ^ [_195773, _195775, _195777, _195779] : [-(lt(_195777, _195773)), lt(_195779, _195775), _195779 = _195777, _195775 = _195773], (34 ^ _194977) ^ [_196217, _196219, _196221, _196223] : [-(geq(_196221, _196217)), geq(_196223, _196219), _196223 = _196221, _196219 = _196217], (48 ^ _194977) ^ [_196661, _196663, _196665, _196667] : [-(gt(_196665, _196661)), gt(_196667, _196663), _196667 = _196665, _196663 = _196661], (62 ^ _194977) ^ [_197085, _197087, _197089, _197091] : [-(leq(_197089, _197085)), leq(_197091, _197087), _197091 = _197089, _197087 = _197085], (76 ^ _194977) ^ [_197541, _197543, _197545, _197547] : [-(uniform_int_rnd(_197547, _197543) = uniform_int_rnd(_197545, _197541)), _197547 = _197545, _197543 = _197541], (86 ^ _194977) ^ [_197900, _197902, _197904, _197906] : [-(tptp_const_array1(_197906, _197902) = tptp_const_array1(_197904, _197900)), _197906 = _197904, _197902 = _197900], (96 ^ _194977) ^ [_198287, _198289, _198291, _198293, _198295, _198297] : [-(tptp_const_array2(_198297, _198293, _198289) = tptp_const_array2(_198295, _198291, _198287)), _198297 = _198295, _198293 = _198291, _198289 = _198287], (110 ^ _194977) ^ [_198775, _198777, _198779, _198781] : [-(dim(_198781, _198777) = dim(_198779, _198775)), _198781 = _198779, _198777 = _198775], (120 ^ _194977) ^ [_199106, _199108] : [_199108 = _199106, -(inv(_199108) = inv(_199106))], (126 ^ _194977) ^ [_199352, _199354, _199356, _199358] : [-(tptp_msub(_199358, _199354) = tptp_msub(_199356, _199352)), _199358 = _199356, _199354 = _199352], (136 ^ _194977) ^ [_199711, _199713, _199715, _199717] : [-(tptp_madd(_199717, _199713) = tptp_madd(_199715, _199711)), _199717 = _199715, _199713 = _199711], (146 ^ _194977) ^ [_200070, _200072, _200074, _200076] : [-(tptp_mmul(_200076, _200072) = tptp_mmul(_200074, _200070)), _200076 = _200074, _200072 = _200070], (156 ^ _194977) ^ [_200401, _200403] : [_200403 = _200401, -(trans(_200403) = trans(_200401))], (162 ^ _194977) ^ [_200675, _200677, _200679, _200681, _200683, _200685] : [-(sum(_200685, _200681, _200677) = sum(_200683, _200679, _200675)), _200685 = _200683, _200681 = _200679, _200677 = _200675], (176 ^ _194977) ^ [_201163, _201165, _201167, _201169] : [-(plus(_201169, _201165) = plus(_201167, _201163)), _201169 = _201167, _201165 = _201163], (186 ^ _194977) ^ [_201494, _201496] : [_201496 = _201494, -(pred(_201496) = pred(_201494))], (192 ^ _194977) ^ [_201768, _201770, _201772, _201774, _201776, _201778] : [-(a_select3(_201778, _201774, _201770) = a_select3(_201776, _201772, _201768)), _201778 = _201776, _201774 = _201772, _201770 = _201768], (206 ^ _194977) ^ [_202312, _202314, _202316, _202318, _202320, _202322, _202324, _202326] : [-(tptp_update3(_202326, _202322, _202318, _202314) = tptp_update3(_202324, _202320, _202316, _202312)), _202326 = _202324, _202322 = _202320, _202318 = _202316, _202314 = _202312], (224 ^ _194977) ^ [_202945, _202947, _202949, _202951] : [-(a_select2(_202951, _202947) = a_select2(_202949, _202945)), _202951 = _202949, _202947 = _202945], (234 ^ _194977) ^ [_203332, _203334, _203336, _203338, _203340, _203342] : [-(tptp_update2(_203342, _203338, _203334) = tptp_update2(_203340, _203336, _203332)), _203342 = _203340, _203338 = _203336, _203334 = _203332], (248 ^ _194977) ^ [_203792, _203794] : [_203794 = _203792, -(succ(_203794) = succ(_203792))], (254 ^ _194977) ^ [_204018, _204020, _204022, _204024] : [-(minus(_204024, _204020) = minus(_204022, _204018)), _204024 = _204022, _204020 = _204018], (869 ^ _194977) ^ [] : [-(gt(n5, n4))], (871 ^ _194977) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _194977) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _194977) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _194977) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _194977) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _194977) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _194977) ^ [] : [-(gt(n4, n0))], (885 ^ _194977) ^ [] : [-(gt(n5, n0))], (887 ^ _194977) ^ [] : [-(gt(n1, n0))], (889 ^ _194977) ^ [] : [-(gt(n2, n0))], (891 ^ _194977) ^ [] : [-(gt(n3, n0))], (893 ^ _194977) ^ [] : [-(gt(n4, n1))], (895 ^ _194977) ^ [] : [-(gt(n5, n1))], (897 ^ _194977) ^ [] : [-(gt(n2, n1))], (899 ^ _194977) ^ [] : [-(gt(n3, n1))], (901 ^ _194977) ^ [] : [-(gt(n4, n2))], (903 ^ _194977) ^ [] : [-(gt(n5, n2))], (905 ^ _194977) ^ [] : [-(gt(n3, n2))], (907 ^ _194977) ^ [] : [-(gt(n4, n3))], (909 ^ _194977) ^ [] : [-(gt(n5, n3))], (911 ^ _194977) ^ [_231487] : [leq(n0, _231487), leq(_231487, n4), -(_231487 = n0), -(_231487 = n1), -(_231487 = n2), -(_231487 = n3), -(_231487 = n4)], (937 ^ _194977) ^ [_232108] : [leq(n0, _232108), leq(_232108, n5), -(_232108 = n0), -(_232108 = n1), -(_232108 = n2), -(_232108 = n3), -(_232108 = n4), -(_232108 = n5)], (967 ^ _194977) ^ [_232815] : [-(_232815 = n0), leq(n0, _232815), leq(_232815, n0)], (977 ^ _194977) ^ [_233090] : [leq(n0, _233090), leq(_233090, n1), -(_233090 = n0), -(_233090 = n1)], (991 ^ _194977) ^ [_233453] : [leq(n0, _233453), leq(_233453, n2), -(_233453 = n0), -(_233453 = n1), -(_233453 = n2)], (1031 ^ _194977) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _194977) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _194977) ^ [] : [-(succ(n0) = n1)], (1037 ^ _194977) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _194977) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _194977) ^ [_233902] : [leq(n0, _233902), leq(_233902, n3), -(_233902 = n0), -(_233902 = n1), -(_233902 = n2), -(_233902 = n3)], (264 ^ _194977) ^ [_204449, _204451] : [-(gt(_204451, _204449)), -(gt(_204449, _204451)), -(_204451 = _204449)], (274 ^ _194977) ^ [_204764, _204766, _204768] : [-(gt(_204768, _204764)), gt(_204768, _204766), gt(_204766, _204764)], (284 ^ _194977) ^ [_205043] : [gt(_205043, _205043)], (286 ^ _194977) ^ [_205121] : [-(leq(_205121, _205121))], (288 ^ _194977) ^ [_205242, _205244, _205246] : [-(leq(_205246, _205242)), leq(_205246, _205244), leq(_205244, _205242)], (298 ^ _194977) ^ [_205580, _205582] : [lt(_205582, _205580), -(gt(_205580, _205582))], (304 ^ _194977) ^ [_205742, _205744] : [gt(_205742, _205744), -(lt(_205744, _205742))], (310 ^ _194977) ^ [_205983, _205985] : [geq(_205985, _205983), -(leq(_205983, _205985))], (316 ^ _194977) ^ [_206145, _206147] : [leq(_206145, _206147), -(geq(_206147, _206145))], (322 ^ _194977) ^ [_206357, _206359] : [gt(_206357, _206359), -(leq(_206359, _206357))], (328 ^ _194977) ^ [_206567, _206569] : [-(gt(_206567, _206569)), leq(_206569, _206567), -(_206569 = _206567)], (338 ^ _194977) ^ [_206898, _206900] : [leq(_206900, pred(_206898)), -(gt(_206898, _206900))], (344 ^ _194977) ^ [_207064, _207066] : [gt(_207064, _207066), -(leq(_207066, pred(_207064)))], (350 ^ _194977) ^ [_207251] : [-(gt(succ(_207251), _207251))], (352 ^ _194977) ^ [_207360, _207362] : [leq(_207362, _207360), -(leq(_207362, succ(_207360)))], (358 ^ _194977) ^ [_207603, _207605] : [leq(_207605, _207603), -(gt(succ(_207603), _207605))], (364 ^ _194977) ^ [_207769, _207771] : [gt(succ(_207769), _207771), -(leq(_207771, _207769))], (370 ^ _194977) ^ [_207985, _207987] : [leq(n0, _207987), -(leq(uniform_int_rnd(_207985, _207987), _207987))], (376 ^ _194977) ^ [_208201, _208203] : [leq(n0, _208203), -(leq(n0, uniform_int_rnd(_208201, _208203)))], (382 ^ _194977) ^ [_208445, _208447, _208449, _208451] : [-(a_select2(tptp_const_array1(dim(_208449, _208447), _208445), _208451) = _208445), leq(_208449, _208451), leq(_208451, _208447)], (392 ^ _194977) ^ [_208852, _208854, _208856, _208858, _208860, _208862, _208864] : [-(a_select3(tptp_const_array2(dim(_208862, _208860), dim(_208856, _208854), _208852), _208864, _208858) = _208852), leq(_208862, _208864), leq(_208864, _208860), leq(_208856, _208858), leq(_208858, _208854)], (410 ^ _194977) ^ [_209447, _209449] : [413 ^ _194977 : [(414 ^ _194977) ^ [] : [-(leq(n0, 411 ^ [_209447, _209449]))], (416 ^ _194977) ^ [] : [-(leq(411 ^ [_209447, _209449], _209447))], (418 ^ _194977) ^ [] : [-(leq(n0, 412 ^ [_209447, _209449]))], (420 ^ _194977) ^ [] : [-(leq(412 ^ [_209447, _209449], _209447))], (422 ^ _194977) ^ [] : [a_select3(_209449, 411 ^ [_209447, _209449], 412 ^ [_209447, _209449]) = a_select3(_209449, 412 ^ [_209447, _209449], 411 ^ [_209447, _209449])]], 423 ^ _194977 : [(424 ^ _194977) ^ [_210204, _210206] : [-(a_select3(trans(_209449), _210206, _210204) = a_select3(trans(_209449), _210204, _210206)), leq(n0, _210206), leq(_210206, _209447), leq(n0, _210204), leq(_210204, _209447)]]], (442 ^ _194977) ^ [_210751, _210753] : [445 ^ _194977 : [(446 ^ _194977) ^ [] : [-(leq(n0, 443 ^ [_210751, _210753]))], (448 ^ _194977) ^ [] : [-(leq(443 ^ [_210751, _210753], _210751))], (450 ^ _194977) ^ [] : [-(leq(n0, 444 ^ [_210751, _210753]))], (452 ^ _194977) ^ [] : [-(leq(444 ^ [_210751, _210753], _210751))], (454 ^ _194977) ^ [] : [a_select3(_210753, 443 ^ [_210751, _210753], 444 ^ [_210751, _210753]) = a_select3(_210753, 444 ^ [_210751, _210753], 443 ^ [_210751, _210753])]], 455 ^ _194977 : [(456 ^ _194977) ^ [_211508, _211510] : [-(a_select3(inv(_210753), _211510, _211508) = a_select3(inv(_210753), _211508, _211510)), leq(n0, _211510), leq(_211510, _210751), leq(n0, _211508), leq(_211508, _210751)]]], (474 ^ _194977) ^ [_212055, _212057] : [477 ^ _194977 : [(478 ^ _194977) ^ [] : [-(leq(n0, 475 ^ [_212055, _212057]))], (480 ^ _194977) ^ [] : [-(leq(475 ^ [_212055, _212057], _212055))], (482 ^ _194977) ^ [] : [-(leq(n0, 476 ^ [_212055, _212057]))], (484 ^ _194977) ^ [] : [-(leq(476 ^ [_212055, _212057], _212055))], (486 ^ _194977) ^ [] : [a_select3(_212057, 475 ^ [_212055, _212057], 476 ^ [_212055, _212057]) = a_select3(_212057, 476 ^ [_212055, _212057], 475 ^ [_212055, _212057])]], 487 ^ _194977 : [(488 ^ _194977) ^ [_212868, _212870, _212872, _212874] : [-(a_select3(tptp_update3(_212057, _212870, _212870, _212868), _212874, _212872) = a_select3(tptp_update3(_212057, _212870, _212870, _212868), _212872, _212874)), leq(n0, _212874), leq(_212874, _212055), leq(n0, _212872), leq(_212872, _212055), leq(n0, _212870), leq(_212870, _212055)]]], (514 ^ _194977) ^ [_213687, _213689, _213691] : [519 ^ _194977 : [(520 ^ _194977) ^ [] : [-(leq(n0, 517 ^ [_213687, _213689, _213691]))], (522 ^ _194977) ^ [] : [-(leq(517 ^ [_213687, _213689, _213691], _213687))], (524 ^ _194977) ^ [] : [-(leq(n0, 518 ^ [_213687, _213689, _213691]))], (526 ^ _194977) ^ [] : [-(leq(518 ^ [_213687, _213689, _213691], _213687))], (528 ^ _194977) ^ [] : [a_select3(_213691, 517 ^ [_213687, _213689, _213691], 518 ^ [_213687, _213689, _213691]) = a_select3(_213691, 518 ^ [_213687, _213689, _213691], 517 ^ [_213687, _213689, _213691])]], 531 ^ _194977 : [(532 ^ _194977) ^ [] : [-(leq(n0, 529 ^ [_213687, _213689, _213691]))], (534 ^ _194977) ^ [] : [-(leq(529 ^ [_213687, _213689, _213691], _213687))], (536 ^ _194977) ^ [] : [-(leq(n0, 530 ^ [_213687, _213689, _213691]))], (538 ^ _194977) ^ [] : [-(leq(530 ^ [_213687, _213689, _213691], _213687))], (540 ^ _194977) ^ [] : [a_select3(_213689, 529 ^ [_213687, _213689, _213691], 530 ^ [_213687, _213689, _213691]) = a_select3(_213689, 530 ^ [_213687, _213689, _213691], 529 ^ [_213687, _213689, _213691])]], 541 ^ _194977 : [(542 ^ _194977) ^ [_215196, _215198] : [-(a_select3(tptp_madd(_213691, _213689), _215198, _215196) = a_select3(tptp_madd(_213691, _213689), _215196, _215198)), leq(n0, _215198), leq(_215198, _213687), leq(n0, _215196), leq(_215196, _213687)]]], (560 ^ _194977) ^ [_215782, _215784, _215786] : [565 ^ _194977 : [(566 ^ _194977) ^ [] : [-(leq(n0, 563 ^ [_215782, _215784, _215786]))], (568 ^ _194977) ^ [] : [-(leq(563 ^ [_215782, _215784, _215786], _215782))], (570 ^ _194977) ^ [] : [-(leq(n0, 564 ^ [_215782, _215784, _215786]))], (572 ^ _194977) ^ [] : [-(leq(564 ^ [_215782, _215784, _215786], _215782))], (574 ^ _194977) ^ [] : [a_select3(_215786, 563 ^ [_215782, _215784, _215786], 564 ^ [_215782, _215784, _215786]) = a_select3(_215786, 564 ^ [_215782, _215784, _215786], 563 ^ [_215782, _215784, _215786])]], 577 ^ _194977 : [(578 ^ _194977) ^ [] : [-(leq(n0, 575 ^ [_215782, _215784, _215786]))], (580 ^ _194977) ^ [] : [-(leq(575 ^ [_215782, _215784, _215786], _215782))], (582 ^ _194977) ^ [] : [-(leq(n0, 576 ^ [_215782, _215784, _215786]))], (584 ^ _194977) ^ [] : [-(leq(576 ^ [_215782, _215784, _215786], _215782))], (586 ^ _194977) ^ [] : [a_select3(_215784, 575 ^ [_215782, _215784, _215786], 576 ^ [_215782, _215784, _215786]) = a_select3(_215784, 576 ^ [_215782, _215784, _215786], 575 ^ [_215782, _215784, _215786])]], 587 ^ _194977 : [(588 ^ _194977) ^ [_217291, _217293] : [-(a_select3(tptp_msub(_215786, _215784), _217293, _217291) = a_select3(tptp_msub(_215786, _215784), _217291, _217293)), leq(n0, _217293), leq(_217293, _215782), leq(n0, _217291), leq(_217291, _215782)]]], (606 ^ _194977) ^ [_217877, _217879, _217881] : [609 ^ _194977 : [(610 ^ _194977) ^ [] : [-(leq(n0, 607 ^ [_217877, _217879, _217881]))], (612 ^ _194977) ^ [] : [-(leq(607 ^ [_217877, _217879, _217881], _217877))], (614 ^ _194977) ^ [] : [-(leq(n0, 608 ^ [_217877, _217879, _217881]))], (616 ^ _194977) ^ [] : [-(leq(608 ^ [_217877, _217879, _217881], _217877))], (618 ^ _194977) ^ [] : [a_select3(_217879, 607 ^ [_217877, _217879, _217881], 608 ^ [_217877, _217879, _217881]) = a_select3(_217879, 608 ^ [_217877, _217879, _217881], 607 ^ [_217877, _217879, _217881])]], 619 ^ _194977 : [(620 ^ _194977) ^ [_218690, _218692] : [-(a_select3(tptp_mmul(_217881, tptp_mmul(_217879, trans(_217881))), _218692, _218690) = a_select3(tptp_mmul(_217881, tptp_mmul(_217879, trans(_217881))), _218690, _218692)), leq(n0, _218692), leq(_218692, _217877), leq(n0, _218690), leq(_218690, _217877)]]], (638 ^ _194977) ^ [_219309, _219311, _219313, _219315] : [641 ^ _194977 : [(642 ^ _194977) ^ [] : [-(leq(n0, 639 ^ [_219309, _219311, _219313, _219315]))], (644 ^ _194977) ^ [] : [-(leq(639 ^ [_219309, _219311, _219313, _219315], _219309))], (646 ^ _194977) ^ [] : [-(leq(n0, 640 ^ [_219309, _219311, _219313, _219315]))], (648 ^ _194977) ^ [] : [-(leq(640 ^ [_219309, _219311, _219313, _219315], _219309))], (650 ^ _194977) ^ [] : [a_select3(_219313, 639 ^ [_219309, _219311, _219313, _219315], 640 ^ [_219309, _219311, _219313, _219315]) = a_select3(_219313, 640 ^ [_219309, _219311, _219313, _219315], 639 ^ [_219309, _219311, _219313, _219315])]], 651 ^ _194977 : [(652 ^ _194977) ^ [_220166, _220168] : [-(a_select3(tptp_mmul(_219315, tptp_mmul(_219313, trans(_219315))), _220168, _220166) = a_select3(tptp_mmul(_219315, tptp_mmul(_219313, trans(_219315))), _220166, _220168)), leq(n0, _220168), leq(_220168, _219311), leq(n0, _220166), leq(_220166, _219311)]]], (670 ^ _194977) ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875] : [675 ^ _194977 : [(676 ^ _194977) ^ [] : [-(leq(n0, 673 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875]))], (678 ^ _194977) ^ [] : [-(leq(673 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], _220861))], (680 ^ _194977) ^ [] : [-(leq(n0, 674 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875]))], (682 ^ _194977) ^ [] : [-(leq(674 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], _220861))], (684 ^ _194977) ^ [] : [a_select3(_220869, 673 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], 674 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875]) = a_select3(_220869, 674 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], 673 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875])]], 689 ^ _194977 : [(690 ^ _194977) ^ [] : [-(leq(n0, 687 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875]))], (692 ^ _194977) ^ [] : [-(leq(687 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], _220863))], (694 ^ _194977) ^ [] : [-(leq(n0, 688 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875]))], (696 ^ _194977) ^ [] : [-(leq(688 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], _220863))], (698 ^ _194977) ^ [] : [a_select3(_220875, 687 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], 688 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875]) = a_select3(_220875, 688 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], 687 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875])]], 701 ^ _194977 : [(702 ^ _194977) ^ [] : [-(leq(n0, 699 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875]))], (704 ^ _194977) ^ [] : [-(leq(699 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], _220863))], (706 ^ _194977) ^ [] : [-(leq(n0, 700 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875]))], (708 ^ _194977) ^ [] : [-(leq(700 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], _220863))], (710 ^ _194977) ^ [] : [a_select3(_220865, 699 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], 700 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875]) = a_select3(_220865, 700 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875], 699 ^ [_220861, _220863, _220865, _220867, _220869, _220871, _220873, _220875])]], 711 ^ _194977 : [(712 ^ _194977) ^ [_223789, _223791] : [-(a_select3(tptp_madd(_220875, tptp_mmul(_220873, tptp_mmul(tptp_madd(tptp_mmul(_220871, tptp_mmul(_220869, trans(_220871))), tptp_mmul(_220867, tptp_mmul(_220865, trans(_220867)))), trans(_220873)))), _223791, _223789) = a_select3(tptp_madd(_220875, tptp_mmul(_220873, tptp_mmul(tptp_madd(tptp_mmul(_220871, tptp_mmul(_220869, trans(_220871))), tptp_mmul(_220867, tptp_mmul(_220865, trans(_220867)))), trans(_220873)))), _223789, _223791)), leq(n0, _223791), leq(_223791, _220863), leq(n0, _223789), leq(_223789, _220863)]]], (730 ^ _194977) ^ [_224542] : [-(sum(n0, tptp_minus_1, _224542) = n0)], (732 ^ _194977) ^ [_224624] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _224624))], (734 ^ _194977) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _194977) ^ [_224759] : [-(plus(_224759, n1) = succ(_224759))], (738 ^ _194977) ^ [_224842] : [-(plus(n1, _224842) = succ(_224842))], (740 ^ _194977) ^ [_224925] : [-(plus(_224925, n2) = succ(succ(_224925)))], (742 ^ _194977) ^ [_225010] : [-(plus(n2, _225010) = succ(succ(_225010)))], (744 ^ _194977) ^ [_225095] : [-(plus(_225095, n3) = succ(succ(succ(_225095))))], (746 ^ _194977) ^ [_225182] : [-(plus(n3, _225182) = succ(succ(succ(_225182))))], (748 ^ _194977) ^ [_225269] : [-(plus(_225269, n4) = succ(succ(succ(succ(_225269)))))], (750 ^ _194977) ^ [_225358] : [-(plus(n4, _225358) = succ(succ(succ(succ(_225358)))))], (752 ^ _194977) ^ [_225447] : [-(plus(_225447, n5) = succ(succ(succ(succ(succ(_225447))))))], (754 ^ _194977) ^ [_225538] : [-(plus(n5, _225538) = succ(succ(succ(succ(succ(_225538))))))], (756 ^ _194977) ^ [_225629] : [-(minus(_225629, n1) = pred(_225629))], (758 ^ _194977) ^ [_225712] : [-(pred(succ(_225712)) = _225712)], (760 ^ _194977) ^ [_225794] : [-(succ(pred(_225794)) = _225794)], (762 ^ _194977) ^ [_225934, _225936] : [leq(succ(_225936), succ(_225934)), -(leq(_225936, _225934))], (768 ^ _194977) ^ [_226104, _226106] : [leq(_226106, _226104), -(leq(succ(_226106), succ(_226104)))], (774 ^ _194977) ^ [_226324, _226326] : [leq(succ(_226326), _226324), -(gt(_226324, _226326))], (780 ^ _194977) ^ [_226538, _226540] : [leq(minus(_226540, _226538), _226540), -(leq(n0, _226538))], (786 ^ _194977) ^ [_226767, _226769, _226771, _226773] : [-(a_select3(tptp_update3(_226773, _226771, _226769, _226767), _226771, _226769) = _226767)], (788 ^ _194977) ^ [_226959, _226961, _226963, _226965, _226967, _226969, _226971] : [-(a_select3(tptp_update3(_226963, _226971, _226969, _226959), _226967, _226965) = _226961), -(_226971 = _226967), _226969 = _226965, a_select3(_226963, _226967, _226965) = _226961], (802 ^ _194977) ^ [_227502, _227504, _227506, _227508, _227510, _227512] : [-(a_select3(tptp_update3(_227504, _227508, _227506, _227502), _227512, _227510) = _227502), 807 ^ _194977 : [(808 ^ _194977) ^ [] : [-(leq(n0, 805 ^ [_227502, _227504, _227506, _227508, _227510, _227512]))], (810 ^ _194977) ^ [] : [-(leq(n0, 806 ^ [_227502, _227504, _227506, _227508, _227510, _227512]))], (812 ^ _194977) ^ [] : [-(leq(805 ^ [_227502, _227504, _227506, _227508, _227510, _227512], _227508))], (814 ^ _194977) ^ [] : [-(leq(806 ^ [_227502, _227504, _227506, _227508, _227510, _227512], _227506))], (816 ^ _194977) ^ [] : [a_select3(_227504, 805 ^ [_227502, _227504, _227506, _227508, _227510, _227512], 806 ^ [_227502, _227504, _227506, _227508, _227510, _227512]) = _227502]], leq(n0, _227512), leq(_227512, _227508), leq(n0, _227510), leq(_227510, _227506)], (834 ^ _194977) ^ [_228844, _228846, _228848] : [-(a_select2(tptp_update2(_228848, _228846, _228844), _228846) = _228844)], (836 ^ _194977) ^ [_229004, _229006, _229008, _229010, _229012] : [-(a_select2(tptp_update2(_229008, _229012, _229004), _229010) = _229006), -(_229012 = _229010), a_select2(_229008, _229010) = _229006], (865 ^ _194977) ^ [] : [-(true)], (867 ^ _194977) ^ [] : [def = use], (846 ^ _194977) ^ [_229384, _229386, _229388, _229390] : [-(a_select2(tptp_update2(_229386, _229388, _229384), _229390) = _229384), 850 ^ _194977 : [(851 ^ _194977) ^ [] : [-(leq(n0, 849 ^ [_229384, _229386, _229388, _229390]))], (853 ^ _194977) ^ [] : [-(leq(849 ^ [_229384, _229386, _229388, _229390], _229388))], (855 ^ _194977) ^ [] : [a_select2(_229386, 849 ^ [_229384, _229386, _229388, _229390]) = _229384]], leq(n0, _229390), leq(_229390, _229388)]], input).
% 0.34/1.38 ncf('1',plain,[true],start(1045 ^ 0)).
% 0.34/1.38 ncf('1.1',plain,[-(true)],extension(865 ^ 1)).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------