TSTP Solution File: NUM464+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM464+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n032.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 11:44:42 EDT 2023
% Result : Theorem 0.21s 1.31s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM464+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : nanocop.sh %s %d
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Thu May 18 17:36:34 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.21/1.31
% 0.21/1.31 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.21/1.31 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/1.31 %-----------------------------------------------------
% 0.21/1.31 ncf(matrix, plain, [(475 ^ _67694) ^ [] : [xm = sz00], (483 ^ _67694) ^ [] : [sdtlseqdt0(sz10, xm)], (477 ^ _67694) ^ [_82593] : [aNaturalNumber0(_82593), sdtpldt0(sz10, _82593) = xm], (44 ^ _67694) ^ [_69217, _69219, _69221, _69223] : [-(sdtmndt0(_69223, _69219) = sdtmndt0(_69221, _69217)), _69223 = _69221, _69219 = _69217], (54 ^ _67694) ^ [_69576, _69578, _69580, _69582] : [-(sdtasdt0(_69582, _69578) = sdtasdt0(_69580, _69576)), _69582 = _69580, _69578 = _69576], (64 ^ _67694) ^ [_69915, _69917, _69919, _69921] : [-(sdtpldt0(_69921, _69917) = sdtpldt0(_69919, _69915)), _69921 = _69919, _69917 = _69915], (2 ^ _67694) ^ [_67838] : [-(_67838 = _67838)], (4 ^ _67694) ^ [_67945, _67947] : [_67947 = _67945, -(_67945 = _67947)], (10 ^ _67694) ^ [_68149, _68151, _68153] : [-(_68153 = _68149), _68153 = _68151, _68151 = _68149], (20 ^ _67694) ^ [_68462, _68464] : [-(aNaturalNumber0(_68462)), _68464 = _68462, aNaturalNumber0(_68464)], (30 ^ _67694) ^ [_68765, _68767, _68769, _68771] : [-(sdtlseqdt0(_68769, _68765)), sdtlseqdt0(_68771, _68767), _68771 = _68769, _68767 = _68765], (74 ^ _67694) ^ [_70242] : [aNaturalNumber0(_70242), true___, -(true___)], (84 ^ _67694) ^ [] : [-(aNaturalNumber0(sz00))], (86 ^ _67694) ^ [] : [-(aNaturalNumber0(sz10))], (88 ^ _67694) ^ [] : [sz10 = sz00], (90 ^ _67694) ^ [_70671, _70673] : [-(aNaturalNumber0(sdtpldt0(_70673, _70671))), aNaturalNumber0(_70673), aNaturalNumber0(_70671)], (100 ^ _67694) ^ [_70970, _70972] : [-(aNaturalNumber0(sdtasdt0(_70972, _70970))), aNaturalNumber0(_70972), aNaturalNumber0(_70970)], (110 ^ _67694) ^ [_71269, _71271] : [-(sdtpldt0(_71271, _71269) = sdtpldt0(_71269, _71271)), aNaturalNumber0(_71271), aNaturalNumber0(_71269)], (120 ^ _67694) ^ [_71590, _71592, _71594] : [-(sdtpldt0(sdtpldt0(_71594, _71592), _71590) = sdtpldt0(_71594, sdtpldt0(_71592, _71590))), aNaturalNumber0(_71594), aNaturalNumber0(_71592), aNaturalNumber0(_71590)], (134 ^ _67694) ^ [_71996] : [aNaturalNumber0(_71996), 137 ^ _67694 : [(138 ^ _67694) ^ [] : [-(sdtpldt0(_71996, sz00) = _71996)], (140 ^ _67694) ^ [] : [-(_71996 = sdtpldt0(sz00, _71996))]]], (142 ^ _67694) ^ [_72283, _72285] : [-(sdtasdt0(_72285, _72283) = sdtasdt0(_72283, _72285)), aNaturalNumber0(_72285), aNaturalNumber0(_72283)], (152 ^ _67694) ^ [_72604, _72606, _72608] : [-(sdtasdt0(sdtasdt0(_72608, _72606), _72604) = sdtasdt0(_72608, sdtasdt0(_72606, _72604))), aNaturalNumber0(_72608), aNaturalNumber0(_72606), aNaturalNumber0(_72604)], (166 ^ _67694) ^ [_73010] : [aNaturalNumber0(_73010), 169 ^ _67694 : [(170 ^ _67694) ^ [] : [-(sdtasdt0(_73010, sz10) = _73010)], (172 ^ _67694) ^ [] : [-(_73010 = sdtasdt0(sz10, _73010))]]], (174 ^ _67694) ^ [_73283] : [aNaturalNumber0(_73283), 177 ^ _67694 : [(178 ^ _67694) ^ [] : [-(sdtasdt0(_73283, sz00) = sz00)], (180 ^ _67694) ^ [] : [-(sz00 = sdtasdt0(sz00, _73283))]]], (182 ^ _67694) ^ [_73584, _73586, _73588] : [193 ^ _67694 : [(194 ^ _67694) ^ [] : [-(sdtasdt0(_73588, sdtpldt0(_73586, _73584)) = sdtpldt0(sdtasdt0(_73588, _73586), sdtasdt0(_73588, _73584)))], (196 ^ _67694) ^ [] : [-(sdtasdt0(sdtpldt0(_73586, _73584), _73588) = sdtpldt0(sdtasdt0(_73586, _73588), sdtasdt0(_73584, _73588)))]], aNaturalNumber0(_73588), aNaturalNumber0(_73586), aNaturalNumber0(_73584)], (198 ^ _67694) ^ [_74131, _74133, _74135] : [211 ^ _67694 : [(212 ^ _67694) ^ [] : [sdtpldt0(_74135, _74133) = sdtpldt0(_74135, _74131)], (214 ^ _67694) ^ [] : [sdtpldt0(_74133, _74135) = sdtpldt0(_74131, _74135)]], -(_74133 = _74131), aNaturalNumber0(_74135), aNaturalNumber0(_74133), aNaturalNumber0(_74131)], (218 ^ _67694) ^ [_74708] : [aNaturalNumber0(_74708), -(_74708 = sz00), 225 ^ _67694 : [(226 ^ _67694) ^ [_74970, _74972] : [aNaturalNumber0(_74972), aNaturalNumber0(_74970), 235 ^ _67694 : [(236 ^ _67694) ^ [] : [sdtasdt0(_74708, _74972) = sdtasdt0(_74708, _74970)], (238 ^ _67694) ^ [] : [sdtasdt0(_74972, _74708) = sdtasdt0(_74970, _74708)]], -(_74972 = _74970)]]], (242 ^ _67694) ^ [_75481, _75483] : [aNaturalNumber0(_75483), aNaturalNumber0(_75481), sdtpldt0(_75483, _75481) = sz00, 253 ^ _67694 : [(254 ^ _67694) ^ [] : [-(_75483 = sz00)], (256 ^ _67694) ^ [] : [-(_75481 = sz00)]]], (258 ^ _67694) ^ [_75948, _75950] : [aNaturalNumber0(_75950), aNaturalNumber0(_75948), sdtasdt0(_75950, _75948) = sz00, -(_75950 = sz00), -(_75948 = sz00)], (276 ^ _67694) ^ [_76430, _76432] : [aNaturalNumber0(_76432), aNaturalNumber0(_76430), 283 ^ _67694 : [(284 ^ _67694) ^ [] : [sdtlseqdt0(_76432, _76430), 288 ^ _67694 : [(289 ^ _67694) ^ [] : [-(aNaturalNumber0(287 ^ [_76430, _76432]))], (291 ^ _67694) ^ [] : [-(sdtpldt0(_76432, 287 ^ [_76430, _76432]) = _76430)]]], (293 ^ _67694) ^ [] : [-(sdtlseqdt0(_76432, _76430)), 294 ^ _67694 : [(295 ^ _67694) ^ [_76990] : [aNaturalNumber0(_76990), sdtpldt0(_76432, _76990) = _76430]]]]], (303 ^ _67694) ^ [_77273, _77275] : [aNaturalNumber0(_77275), aNaturalNumber0(_77273), sdtlseqdt0(_77275, _77273), 314 ^ _67694 : [(315 ^ _67694) ^ [_77620] : [_77620 = sdtmndt0(_77273, _77275), 318 ^ _67694 : [(319 ^ _67694) ^ [] : [-(aNaturalNumber0(_77620))], (321 ^ _67694) ^ [] : [-(sdtpldt0(_77275, _77620) = _77273)]]], (323 ^ _67694) ^ [_77879] : [-(_77879 = sdtmndt0(_77273, _77275)), aNaturalNumber0(_77879), sdtpldt0(_77275, _77879) = _77273]]], (333 ^ _67694) ^ [_78201] : [aNaturalNumber0(_78201), -(sdtlseqdt0(_78201, _78201))], (339 ^ _67694) ^ [_78403, _78405] : [aNaturalNumber0(_78405), aNaturalNumber0(_78403), -(_78405 = _78403), sdtlseqdt0(_78405, _78403), sdtlseqdt0(_78403, _78405)], (357 ^ _67694) ^ [_78892, _78894, _78896] : [aNaturalNumber0(_78896), aNaturalNumber0(_78894), aNaturalNumber0(_78892), -(sdtlseqdt0(_78896, _78892)), sdtlseqdt0(_78896, _78894), sdtlseqdt0(_78894, _78892)], (379 ^ _67694) ^ [_79478, _79480] : [aNaturalNumber0(_79480), aNaturalNumber0(_79478), -(sdtlseqdt0(_79480, _79478)), 390 ^ _67694 : [(391 ^ _67694) ^ [] : [_79478 = _79480], (393 ^ _67694) ^ [] : [-(sdtlseqdt0(_79478, _79480))]]], (395 ^ _67694) ^ [_79941, _79943] : [aNaturalNumber0(_79943), aNaturalNumber0(_79941), -(_79943 = _79941), sdtlseqdt0(_79943, _79941), 410 ^ _67694 : [(411 ^ _67694) ^ [_80385] : [aNaturalNumber0(_80385), 414 ^ _67694 : [(415 ^ _67694) ^ [] : [sdtpldt0(_80385, _79943) = sdtpldt0(_80385, _79941)], (417 ^ _67694) ^ [] : [-(sdtlseqdt0(sdtpldt0(_80385, _79943), sdtpldt0(_80385, _79941)))], (419 ^ _67694) ^ [] : [sdtpldt0(_79943, _80385) = sdtpldt0(_79941, _80385)], (421 ^ _67694) ^ [] : [-(sdtlseqdt0(sdtpldt0(_79943, _80385), sdtpldt0(_79941, _80385)))]]]]], (471 ^ _67694) ^ [] : [-(aNaturalNumber0(xm))], (473 ^ _67694) ^ [] : [-(aNaturalNumber0(xn))], (455 ^ _67694) ^ [_81859] : [aNaturalNumber0(_81859), -(_81859 = sz00), -(_81859 = sz10), 466 ^ _67694 : [(467 ^ _67694) ^ [] : [sz10 = _81859], (469 ^ _67694) ^ [] : [-(sdtlseqdt0(sz10, _81859))]]], (423 ^ _67694) ^ [_80909, _80911, _80913] : [aNaturalNumber0(_80913), aNaturalNumber0(_80911), aNaturalNumber0(_80909), 446 ^ _67694 : [(447 ^ _67694) ^ [] : [sdtasdt0(_80913, _80911) = sdtasdt0(_80913, _80909)], (449 ^ _67694) ^ [] : [-(sdtlseqdt0(sdtasdt0(_80913, _80911), sdtasdt0(_80913, _80909)))], (451 ^ _67694) ^ [] : [sdtasdt0(_80911, _80913) = sdtasdt0(_80909, _80913)], (453 ^ _67694) ^ [] : [-(sdtlseqdt0(sdtasdt0(_80911, _80913), sdtasdt0(_80909, _80913)))]], -(_80913 = sz00), -(_80911 = _80909), sdtlseqdt0(_80911, _80909)]], input).
% 0.21/1.31 ncf('1',plain,[xm = sz00],start(475 ^ 0)).
% 0.21/1.31 ncf('1.1',plain,[-(xm = sz00), aNaturalNumber0(xm), -(xm = sz10), 469 : -(sdtlseqdt0(sz10, xm))],extension(455 ^ 1,bind([[_81859], [xm]]))).
% 0.21/1.31 ncf('1.1.1',plain,[-(aNaturalNumber0(xm))],extension(471 ^ 2)).
% 0.21/1.31 ncf('1.1.2',plain,[xm = sz10, aNaturalNumber0(sz10), aNaturalNumber0(xm), -(sdtlseqdt0(sz10, xm))],extension(379 ^ 2,bind([[_79478, _79480], [xm, sz10]]))).
% 0.21/1.31 ncf('1.1.2.1',plain,[-(aNaturalNumber0(sz10))],extension(86 ^ 3)).
% 0.21/1.31 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 0.21/1.31 ncf('1.1.2.3',plain,[sdtlseqdt0(sz10, xm)],extension(483 ^ 3)).
% 0.21/1.31 ncf('1.1.3',plain,[sdtlseqdt0(sz10, xm)],extension(483 ^ 4)).
% 0.21/1.31 %-----------------------------------------------------
% 0.21/1.31 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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