%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM925+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:45:57 EDT 2023

% Result   : Theorem 0.30s 1.37s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM925+1 : TPTP v8.1.2. Released v5.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May 18 16:55:29 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.30/1.37  
% 0.30/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.30/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.37  %-----------------------------------------------------
% 0.30/1.37  ncf(matrix, plain, [(778 ^ _124146) ^ [] : [-(power_power_int(plus_plus_int(one_one_int, semiri1621563631at_int(n)), number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int)], (2 ^ _124146) ^ [_124290] : [-(_124290 = _124290)], (4 ^ _124146) ^ [_124397, _124399] : [_124399 = _124397, -(_124397 = _124399)], (10 ^ _124146) ^ [_124601, _124603, _124605] : [-(_124605 = _124601), _124605 = _124603, _124603 = _124601], (20 ^ _124146) ^ [_124942, _124944, _124946, _124948] : [-(ord_less_nat(_124946, _124942)), ord_less_nat(_124948, _124944), _124948 = _124946, _124944 = _124942], (34 ^ _124146) ^ [_125366, _125368, _125370, _125372] : [-(ord_less_int(_125370, _125366)), ord_less_int(_125372, _125368), _125372 = _125370, _125368 = _125366], (48 ^ _124146) ^ [_125818, _125820, _125822, _125824] : [-(plus_plus_nat(_125824, _125820) = plus_plus_nat(_125822, _125818)), _125824 = _125822, _125820 = _125818], (58 ^ _124146) ^ [_126177, _126179, _126181, _126183] : [-(power_power_nat(_126183, _126179) = power_power_nat(_126181, _126177)), _126183 = _126181, _126179 = _126177], (68 ^ _124146) ^ [_126508, _126510] : [_126510 = _126508, -(semiri984289939at_nat(_126510) = semiri984289939at_nat(_126508))], (74 ^ _124146) ^ [_126726, _126728] : [_126728 = _126726, -(number_number_of_int(_126728) = number_number_of_int(_126726))], (80 ^ _124146) ^ [_126972, _126974, _126976, _126978] : [-(power_power_int(_126978, _126974) = power_power_int(_126976, _126972)), _126978 = _126976, _126974 = _126972], (90 ^ _124146) ^ [_127331, _127333, _127335, _127337] : [-(plus_plus_int(_127337, _127333) = plus_plus_int(_127335, _127331)), _127337 = _127335, _127333 = _127331], (100 ^ _124146) ^ [_127662, _127664] : [_127664 = _127662, -(semiri1621563631at_int(_127664) = semiri1621563631at_int(_127662))], (106 ^ _124146) ^ [_127880, _127882] : [_127882 = _127880, -(number_number_of_nat(_127882) = number_number_of_nat(_127880))], (112 ^ _124146) ^ [_128098, _128100] : [_128100 = _128098, -(bit0(_128100) = bit0(_128098))], (118 ^ _124146) ^ [_128296, _128298] : [_128298 = _128296, -(bit1(_128298) = bit1(_128296))], (124 ^ _124146) ^ [] : [-(ord_less_int(zero_zero_int, plus_plus_int(one_one_int, semiri1621563631at_int(n))))], (126 ^ _124146) ^ [] : [-(ord_less_int(one_one_int, t))], (128 ^ _124146) ^ [_128677, _128679] : [plus_plus_int(power_power_int(_128679, number_number_of_nat(bit0(bit1(pls)))), power_power_int(_128677, number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int, 131 ^ _124146 : [(132 ^ _124146) ^ [] : [-(_128679 = zero_zero_int)], (134 ^ _124146) ^ [] : [-(_128677 = zero_zero_int)]]], (136 ^ _124146) ^ [_128932, _128934] : [-(plus_plus_int(power_power_int(_128934, number_number_of_nat(bit0(bit1(pls)))), power_power_int(_128932, number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int), _128934 = zero_zero_int, _128932 = zero_zero_int], (146 ^ _124146) ^ [] : [-(power_power_int(one_one_int, number_number_of_nat(bit0(bit1(pls)))) = one_one_int)], (148 ^ _124146) ^ [] : [-(power_power_nat(one_one_nat, number_number_of_nat(bit0(bit1(pls)))) = one_one_nat)], (150 ^ _124146) ^ [] : [-(power_power_int(zero_zero_int, number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int)], (152 ^ _124146) ^ [] : [-(power_power_nat(zero_zero_nat, number_number_of_nat(bit0(bit1(pls)))) = zero_zero_nat)], (154 ^ _124146) ^ [_129478] : [power_power_int(_129478, number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int, -(_129478 = zero_zero_int)], (160 ^ _124146) ^ [_129640] : [_129640 = zero_zero_int, -(power_power_int(_129640, number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int)], (166 ^ _124146) ^ [_129823] : [-(plus_plus_int(one_one_int, number_number_of_int(_129823)) = number_number_of_int(plus_plus_int(bit1(pls), _129823)))], (168 ^ _124146) ^ [_129911] : [-(plus_plus_int(number_number_of_int(_129911), one_one_int) = number_number_of_int(plus_plus_int(_129911, bit1(pls))))], (170 ^ _124146) ^ [] : [-(plus_plus_int(one_one_int, one_one_int) = number_number_of_int(bit0(bit1(pls))))], (172 ^ _124146) ^ [] : [-(plus_plus_int(one_one_int, one_one_int) = number_number_of_int(bit0(bit1(pls))))], (174 ^ _124146) ^ [] : [-(plus_plus_nat(one_one_nat, one_one_nat) = number_number_of_nat(bit0(bit1(pls))))], (176 ^ _124146) ^ [_130158] : [-(power_power_int(power_power_int(_130158, number_number_of_nat(bit0(bit1(pls)))), number_number_of_nat(bit0(bit1(pls)))) = power_power_int(_130158, number_number_of_nat(bit0(bit0(bit1(pls))))))], (178 ^ _124146) ^ [_130280] : [number_number_of_nat(_130280) = zero_zero_nat, -(power_power_int(zero_zero_int, number_number_of_nat(_130280)) = one_one_int)], (184 ^ _124146) ^ [_130450] : [-(number_number_of_nat(_130450) = zero_zero_nat), -(power_power_int(zero_zero_int, number_number_of_nat(_130450)) = zero_zero_int)], (190 ^ _124146) ^ [_130679] : [number_number_of_nat(_130679) = zero_zero_nat, -(power_power_nat(zero_zero_nat, number_number_of_nat(_130679)) = one_one_nat)], (196 ^ _124146) ^ [_130849] : [-(number_number_of_nat(_130849) = zero_zero_nat), -(power_power_nat(zero_zero_nat, number_number_of_nat(_130849)) = zero_zero_nat)], (202 ^ _124146) ^ [] : [-(one_one_int = number_number_of_int(bit1(pls)))], (204 ^ _124146) ^ [] : [-(number_number_of_int(bit1(pls)) = one_one_int)], (206 ^ _124146) ^ [] : [-(ord_less_nat(zero_zero_nat, n))], (208 ^ _124146) ^ [_131231, _131233] : [-(ord_less_int(_131233, _131231)), -(_131233 = _131231), -(ord_less_int(_131231, _131233))], (218 ^ _124146) ^ [_131561, _131563] : [ord_less_int(number_number_of_int(_131563), number_number_of_int(_131561)), -(ord_less_int(_131563, _131561))], (224 ^ _124146) ^ [_131731, _131733] : [ord_less_int(_131733, _131731), -(ord_less_int(number_number_of_int(_131733), number_number_of_int(_131731)))], (230 ^ _124146) ^ [_131936, _131938] : [-(plus_plus_int(number_number_of_int(_131938), number_number_of_int(_131936)) = number_number_of_int(plus_plus_int(_131938, _131936)))], (232 ^ _124146) ^ [_132086, _132088] : [ord_less_int(number_number_of_int(_132088), number_number_of_int(_132086)), -(ord_less_int(_132088, _132086))], (238 ^ _124146) ^ [_132256, _132258] : [ord_less_int(_132258, _132256), -(ord_less_int(number_number_of_int(_132258), number_number_of_int(_132256)))], (244 ^ _124146) ^ [] : [-(zero_zero_int = number_number_of_int(pls))], (246 ^ _124146) ^ [_132514, _132516] : [-(power_power_int(semiri1621563631at_int(_132516), _132514) = semiri1621563631at_int(power_power_nat(_132516, _132514)))], (248 ^ _124146) ^ [_132618, _132620] : [-(semiri1621563631at_int(power_power_nat(_132620, _132618)) = power_power_int(semiri1621563631at_int(_132620), _132618))], (250 ^ _124146) ^ [_132736, _132738, _132740] : [-(plus_plus_int(semiri1621563631at_int(_132740), plus_plus_int(semiri1621563631at_int(_132738), _132736)) = plus_plus_int(semiri1621563631at_int(plus_plus_nat(_132740, _132738)), _132736))], (252 ^ _124146) ^ [_132850, _132852] : [-(plus_plus_int(semiri1621563631at_int(_132852), semiri1621563631at_int(_132850)) = semiri1621563631at_int(plus_plus_nat(_132852, _132850)))], (254 ^ _124146) ^ [] : [-(semiri1621563631at_int(one_one_nat) = one_one_int)], (256 ^ _124146) ^ [] : [-(number_number_of_nat(pls) = zero_zero_nat)], (258 ^ _124146) ^ [] : [-(zero_zero_nat = number_number_of_nat(pls))], (260 ^ _124146) ^ [_133145] : [semiri1621563631at_int(_133145) = zero_zero_int, -(_133145 = zero_zero_nat)], (266 ^ _124146) ^ [_133305] : [_133305 = zero_zero_nat, -(semiri1621563631at_int(_133305) = zero_zero_int)], (272 ^ _124146) ^ [] : [-(semiri1621563631at_int(zero_zero_nat) = zero_zero_int)], (274 ^ _124146) ^ [] : [-(plus_plus_nat(one_one_nat, one_one_nat) = number_number_of_nat(bit0(bit1(pls))))], (276 ^ _124146) ^ [_133650, _133652] : [ord_less_int(bit1(_133652), bit1(_133650)), -(ord_less_int(_133652, _133650))], (282 ^ _124146) ^ [_133820, _133822] : [ord_less_int(_133822, _133820), -(ord_less_int(bit1(_133822), bit1(_133820)))], (288 ^ _124146) ^ [_134069, _134071] : [ord_less_int(bit1(_134071), bit1(_134069)), -(ord_less_int(_134071, _134069))], (294 ^ _124146) ^ [_134239, _134241] : [ord_less_int(_134241, _134239), -(ord_less_int(bit1(_134241), bit1(_134239)))], (300 ^ _124146) ^ [] : [ord_less_int(pls, pls)], (302 ^ _124146) ^ [_134540, _134542] : [ord_less_int(bit0(_134542), bit0(_134540)), -(ord_less_int(_134542, _134540))], (308 ^ _124146) ^ [_134710, _134712] : [ord_less_int(_134712, _134710), -(ord_less_int(bit0(_134712), bit0(_134710)))], (314 ^ _124146) ^ [_134959, _134961] : [ord_less_int(bit0(_134961), bit0(_134959)), -(ord_less_int(_134961, _134959))], (320 ^ _124146) ^ [_135129, _135131] : [ord_less_int(_135131, _135129), -(ord_less_int(bit0(_135131), bit0(_135129)))], (326 ^ _124146) ^ [_135363, _135365, _135367] : [ord_less_int(_135365, _135363), -(ord_less_int(plus_plus_int(_135365, _135367), plus_plus_int(_135363, _135367)))], (332 ^ _124146) ^ [_135611, _135613] : [ord_less_int(_135611, pls), -(plus_plus_nat(number_number_of_nat(_135611), number_number_of_nat(_135613)) = number_number_of_nat(_135613))], (338 ^ _124146) ^ [_135791, _135793] : [-(ord_less_int(_135791, pls)), 341 ^ _124146 : [(342 ^ _124146) ^ [] : [ord_less_int(_135793, pls), -(plus_plus_nat(number_number_of_nat(_135791), number_number_of_nat(_135793)) = number_number_of_nat(_135791))], (348 ^ _124146) ^ [] : [-(ord_less_int(_135793, pls)), -(plus_plus_nat(number_number_of_nat(_135791), number_number_of_nat(_135793)) = number_number_of_nat(plus_plus_int(_135791, _135793)))]]], (354 ^ _124146) ^ [] : [-(one_one_int = number_number_of_int(bit1(pls)))], (356 ^ _124146) ^ [] : [-(number_number_of_nat(bit1(pls)) = one_one_nat)], (358 ^ _124146) ^ [] : [-(one_one_nat = number_number_of_nat(bit1(pls)))], (360 ^ _124146) ^ [_136492, _136494] : [number_number_of_int(_136494) = number_number_of_int(_136492), -(_136494 = _136492)], (366 ^ _124146) ^ [_136662, _136664] : [_136664 = _136662, -(number_number_of_int(_136664) = number_number_of_int(_136662))], (372 ^ _124146) ^ [_136911, _136913] : [number_number_of_nat(_136913) = _136911, -(_136911 = number_number_of_nat(_136913))], (378 ^ _124146) ^ [_137081, _137083] : [_137081 = number_number_of_nat(_137083), -(number_number_of_nat(_137083) = _137081)], (384 ^ _124146) ^ [_137330, _137332] : [number_number_of_int(_137332) = _137330, -(_137330 = number_number_of_int(_137332))], (390 ^ _124146) ^ [_137500, _137502] : [_137500 = number_number_of_int(_137502), -(number_number_of_int(_137502) = _137500)], (396 ^ _124146) ^ [_137749, _137751] : [bit1(_137751) = bit1(_137749), -(_137751 = _137749)], (402 ^ _124146) ^ [_137919, _137921] : [_137921 = _137919, -(bit1(_137921) = bit1(_137919))], (408 ^ _124146) ^ [_138168, _138170] : [bit0(_138170) = bit0(_138168), -(_138170 = _138168)], (414 ^ _124146) ^ [_138338, _138340] : [_138340 = _138338, -(bit0(_138340) = bit0(_138338))], (420 ^ _124146) ^ [_138573] : [ord_less_int(plus_plus_int(_138573, _138573), zero_zero_int), -(ord_less_int(_138573, zero_zero_int))], (426 ^ _124146) ^ [_138735] : [ord_less_int(_138735, zero_zero_int), -(ord_less_int(plus_plus_int(_138735, _138735), zero_zero_int))], (432 ^ _124146) ^ [_138946, _138948, _138950] : [-(plus_plus_int(plus_plus_int(_138950, _138948), _138946) = plus_plus_int(_138950, plus_plus_int(_138948, _138946)))], (434 ^ _124146) ^ [_139068, _139070, _139072] : [-(plus_plus_int(_139072, plus_plus_int(_139070, _139068)) = plus_plus_int(_139070, plus_plus_int(_139072, _139068)))], (436 ^ _124146) ^ [_139176, _139178] : [-(plus_plus_int(_139178, _139176) = plus_plus_int(_139176, _139178))], (438 ^ _124146) ^ [_139320, _139322] : [semiri1621563631at_int(_139322) = semiri1621563631at_int(_139320), -(_139322 = _139320)], (444 ^ _124146) ^ [_139490, _139492] : [_139492 = _139490, -(semiri1621563631at_int(_139492) = semiri1621563631at_int(_139490))], (450 ^ _124146) ^ [_139725] : [ord_less_int(number_number_of_int(_139725), zero_zero_int), -(ord_less_int(_139725, pls))], (456 ^ _124146) ^ [_139885] : [ord_less_int(_139885, pls), -(ord_less_int(number_number_of_int(_139885), zero_zero_int))], (462 ^ _124146) ^ [_140110] : [ord_less_int(zero_zero_int, number_number_of_int(_140110)), -(ord_less_int(pls, _140110))], (468 ^ _124146) ^ [_140270] : [ord_less_int(pls, _140270), -(ord_less_int(zero_zero_int, number_number_of_int(_140270)))], (474 ^ _124146) ^ [_140495] : [ord_less_int(bit1(_140495), pls), -(ord_less_int(_140495, pls))], (480 ^ _124146) ^ [_140655] : [ord_less_int(_140655, pls), -(ord_less_int(bit1(_140655), pls))], (486 ^ _124146) ^ [_140894, _140896] : [ord_less_int(bit1(_140896), bit0(_140894)), -(ord_less_int(_140896, _140894))], (492 ^ _124146) ^ [_141064, _141066] : [ord_less_int(_141066, _141064), -(ord_less_int(bit1(_141066), bit0(_141064)))], (498 ^ _124146) ^ [_141313, _141315] : [ord_less_int(bit1(_141315), bit0(_141313)), -(ord_less_int(_141315, _141313))], (504 ^ _124146) ^ [_141483, _141485] : [ord_less_int(_141485, _141483), -(ord_less_int(bit1(_141485), bit0(_141483)))], (510 ^ _124146) ^ [_141718] : [ord_less_int(bit0(_141718), pls), -(ord_less_int(_141718, pls))], (516 ^ _124146) ^ [_141878] : [ord_less_int(_141878, pls), -(ord_less_int(bit0(_141878), pls))], (522 ^ _124146) ^ [_142103] : [ord_less_int(pls, bit0(_142103)), -(ord_less_int(pls, _142103))], (528 ^ _124146) ^ [_142263] : [ord_less_int(pls, _142263), -(ord_less_int(pls, bit0(_142263)))], (534 ^ _124146) ^ [_142488] : [ord_less_int(bit1(_142488), zero_zero_int), -(ord_less_int(_142488, zero_zero_int))], (540 ^ _124146) ^ [_142648] : [ord_less_int(_142648, zero_zero_int), -(ord_less_int(bit1(_142648), zero_zero_int))], (546 ^ _124146) ^ [] : [ord_less_int(pls, zero_zero_int)], (548 ^ _124146) ^ [_142925] : [ord_less_int(bit0(_142925), zero_zero_int), -(ord_less_int(_142925, zero_zero_int))], (554 ^ _124146) ^ [_143085] : [ord_less_int(_143085, zero_zero_int), -(ord_less_int(bit0(_143085), zero_zero_int))], (560 ^ _124146) ^ [] : [-(ord_less_int(zero_zero_int, one_one_int))], (572 ^ _124146) ^ [_143635, _143637] : [573 ^ _124146 : [(574 ^ _124146) ^ [] : [ord_less_int(_143637, _143635)], (576 ^ _124146) ^ [] : [_143637 = _143635]], -(ord_less_int(_143637, plus_plus_int(_143635, one_one_int)))], (562 ^ _124146) ^ [_143377, _143379] : [ord_less_int(_143379, plus_plus_int(_143377, one_one_int)), -(ord_less_int(_143379, _143377)), -(_143379 = _143377)], (580 ^ _124146) ^ [_143897] : [ord_less_int(semiri1621563631at_int(_143897), zero_zero_int)], (582 ^ _124146) ^ [_144021] : [ord_less_int(number_number_of_int(_144021), one_one_int), -(ord_less_int(_144021, bit1(pls)))], (588 ^ _124146) ^ [_144181] : [ord_less_int(_144181, bit1(pls)), -(ord_less_int(number_number_of_int(_144181), one_one_int))], (594 ^ _124146) ^ [_144406] : [ord_less_int(one_one_int, number_number_of_int(_144406)), -(ord_less_int(bit1(pls), _144406))], (600 ^ _124146) ^ [_144566] : [ord_less_int(bit1(pls), _144566), -(ord_less_int(one_one_int, number_number_of_int(_144566)))], (606 ^ _124146) ^ [_144791] : [ord_less_int(plus_plus_int(plus_plus_int(one_one_int, _144791), _144791), zero_zero_int), -(ord_less_int(_144791, zero_zero_int))], (612 ^ _124146) ^ [_144959] : [ord_less_int(_144959, zero_zero_int), -(ord_less_int(plus_plus_int(plus_plus_int(one_one_int, _144959), _144959), zero_zero_int))], (618 ^ _124146) ^ [_145192] : [plus_plus_int(_145192, _145192) = zero_zero_int, -(_145192 = zero_zero_int)], (624 ^ _124146) ^ [_145354] : [_145354 = zero_zero_int, -(plus_plus_int(_145354, _145354) = zero_zero_int)], (630 ^ _124146) ^ [_145536] : [bit1(_145536) = pls], (632 ^ _124146) ^ [_145615] : [pls = bit1(_145615)], (634 ^ _124146) ^ [_145708, _145710] : [bit1(_145710) = bit0(_145708)], (636 ^ _124146) ^ [_145805, _145807] : [bit0(_145807) = bit1(_145805)], (638 ^ _124146) ^ [_145933] : [bit0(_145933) = pls, -(_145933 = pls)], (644 ^ _124146) ^ [_146093] : [_146093 = pls, -(bit0(_146093) = pls)], (650 ^ _124146) ^ [_146318] : [pls = bit0(_146318), -(pls = _146318)], (656 ^ _124146) ^ [_146478] : [pls = _146478, -(pls = bit0(_146478))], (662 ^ _124146) ^ [] : [-(bit0(pls) = pls)], (664 ^ _124146) ^ [] : [-(pls = zero_zero_int)], (666 ^ _124146) ^ [] : [zero_zero_int = one_one_int], (668 ^ _124146) ^ [_146817] : [-(plus_plus_int(_146817, pls) = _146817)], (670 ^ _124146) ^ [_146898] : [-(plus_plus_int(pls, _146898) = _146898)], (672 ^ _124146) ^ [_146993, _146995] : [-(plus_plus_int(bit0(_146995), bit0(_146993)) = bit0(plus_plus_int(_146995, _146993)))], (674 ^ _124146) ^ [_147085] : [-(bit0(_147085) = plus_plus_int(_147085, _147085))], (676 ^ _124146) ^ [_147168] : [-(plus_plus_int(_147168, zero_zero_int) = _147168)], (678 ^ _124146) ^ [_147249] : [-(plus_plus_int(zero_zero_int, _147249) = _147249)], (680 ^ _124146) ^ [] : [-(number_number_of_int(pls) = zero_zero_int)], (682 ^ _124146) ^ [] : [-(number_number_of_nat(pls) = zero_zero_nat)], (684 ^ _124146) ^ [] : [-(number_number_of_int(pls) = zero_zero_int)], (686 ^ _124146) ^ [] : [-(zero_zero_int = number_number_of_int(pls))], (688 ^ _124146) ^ [_147542] : [-(plus_plus_int(number_number_of_int(pls), _147542) = _147542)], (690 ^ _124146) ^ [_147623] : [-(plus_plus_int(_147623, number_number_of_int(pls)) = _147623)], (692 ^ _124146) ^ [_147762, _147764] : [power_power_int(_147764, number_number_of_nat(_147762)) = zero_zero_int, 695 ^ _124146 : [(696 ^ _124146) ^ [] : [-(_147764 = zero_zero_int)], (698 ^ _124146) ^ [] : [number_number_of_nat(_147762) = zero_zero_nat]]], (700 ^ _124146) ^ [_148014, _148016] : [-(power_power_int(_148016, number_number_of_nat(_148014)) = zero_zero_int), _148016 = zero_zero_int, -(number_number_of_nat(_148014) = zero_zero_nat)], (710 ^ _124146) ^ [_148361, _148363] : [power_power_nat(_148363, number_number_of_nat(_148361)) = zero_zero_nat, 713 ^ _124146 : [(714 ^ _124146) ^ [] : [-(_148363 = zero_zero_nat)], (716 ^ _124146) ^ [] : [number_number_of_nat(_148361) = zero_zero_nat]]], (718 ^ _124146) ^ [_148613, _148615] : [-(power_power_nat(_148615, number_number_of_nat(_148613)) = zero_zero_nat), _148615 = zero_zero_nat, -(number_number_of_nat(_148613) = zero_zero_nat)], (728 ^ _124146) ^ [_148930, _148932, _148934] : [-(plus_plus_int(number_number_of_int(_148934), plus_plus_int(number_number_of_int(_148932), _148930)) = plus_plus_int(number_number_of_int(plus_plus_int(_148934, _148932)), _148930))], (730 ^ _124146) ^ [_149044, _149046] : [-(plus_plus_int(number_number_of_int(_149046), number_number_of_int(_149044)) = number_number_of_int(plus_plus_int(_149046, _149044)))], (732 ^ _124146) ^ [_149150, _149152] : [-(number_number_of_int(plus_plus_int(_149152, _149150)) = plus_plus_int(number_number_of_int(_149152), number_number_of_int(_149150)))], (734 ^ _124146) ^ [_149256, _149258] : [-(plus_plus_int(bit1(_149258), bit0(_149256)) = bit1(plus_plus_int(_149258, _149256)))], (736 ^ _124146) ^ [_149362, _149364] : [-(plus_plus_int(bit0(_149364), bit1(_149362)) = bit1(plus_plus_int(_149364, _149362)))], (738 ^ _124146) ^ [_149454] : [-(bit1(_149454) = plus_plus_int(plus_plus_int(one_one_int, _149454), _149454))], (740 ^ _124146) ^ [_149539] : [plus_plus_int(plus_plus_int(one_one_int, _149539), _149539) = zero_zero_int], (742 ^ _124146) ^ [_149623] : [-(number_number_of_nat(semiri1621563631at_int(_149623)) = semiri984289939at_nat(_149623))], (744 ^ _124146) ^ [_149707] : [-(number_number_of_int(semiri1621563631at_int(_149707)) = semiri1621563631at_int(_149707))], (746 ^ _124146) ^ [_149835] : [ord_less_int(zero_zero_int, power_power_int(_149835, number_number_of_nat(bit0(bit1(pls))))), _149835 = zero_zero_int], (752 ^ _124146) ^ [_149998] : [-(_149998 = zero_zero_int), -(ord_less_int(zero_zero_int, power_power_int(_149998, number_number_of_nat(bit0(bit1(pls))))))], (758 ^ _124146) ^ [_150183] : [ord_less_int(power_power_int(_150183, number_number_of_nat(bit0(bit1(pls)))), zero_zero_int)], (770 ^ _124146) ^ [_150574, _150576] : [771 ^ _124146 : [(772 ^ _124146) ^ [] : [-(_150576 = zero_zero_int)], (774 ^ _124146) ^ [] : [-(_150574 = zero_zero_int)]], -(ord_less_int(zero_zero_int, plus_plus_int(power_power_int(_150576, number_number_of_nat(bit0(bit1(pls)))), power_power_int(_150574, number_number_of_nat(bit0(bit1(pls)))))))], (760 ^ _124146) ^ [_150302, _150304] : [ord_less_int(zero_zero_int, plus_plus_int(power_power_int(_150304, number_number_of_nat(bit0(bit1(pls)))), power_power_int(_150302, number_number_of_nat(bit0(bit1(pls)))))), _150304 = zero_zero_int, _150302 = zero_zero_int]], input).
% 0.30/1.37  ncf('1',plain,[ord_less_int(pls, zero_zero_int)],start(546 ^ 0)).
% 0.30/1.37  ncf('1.1',plain,[-(ord_less_int(pls, zero_zero_int)), ord_less_int(zero_zero_int, plus_plus_int(one_one_int, semiri1621563631at_int(n))), zero_zero_int = pls, plus_plus_int(one_one_int, semiri1621563631at_int(n)) = zero_zero_int],extension(34 ^ 1,bind([[_125366, _125368, _125370, _125372], [zero_zero_int, plus_plus_int(one_one_int, semiri1621563631at_int(n)), pls, zero_zero_int]]))).
% 0.30/1.37  ncf('1.1.1',plain,[-(ord_less_int(zero_zero_int, plus_plus_int(one_one_int, semiri1621563631at_int(n))))],extension(124 ^ 2)).
% 0.30/1.37  ncf('1.1.2',plain,[-(zero_zero_int = pls), pls = zero_zero_int],extension(4 ^ 2,bind([[_124397, _124399], [zero_zero_int, pls]]))).
% 0.30/1.37  ncf('1.1.2.1',plain,[-(pls = zero_zero_int)],extension(664 ^ 3)).
% 0.30/1.37  ncf('1.1.3',plain,[-(plus_plus_int(one_one_int, semiri1621563631at_int(n)) = zero_zero_int), power_power_int(plus_plus_int(one_one_int, semiri1621563631at_int(n)), number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int],extension(154 ^ 2,bind([[_129478], [plus_plus_int(one_one_int, semiri1621563631at_int(n))]]))).
% 0.30/1.37  ncf('1.1.3.1',plain,[-(power_power_int(plus_plus_int(one_one_int, semiri1621563631at_int(n)), number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int)],extension(778 ^ 3)).
% 0.30/1.37  %-----------------------------------------------------
% 0.30/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------