TSTP Solution File: NUM464+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 0.36s 1.37s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n012.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 : Thu May 18 16:39:17 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.36/1.37
% 0.36/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 ncf(matrix, plain, [(475 ^ _66782) ^ [] : [xm = sz00], (477 ^ _66782) ^ [] : [sdtlseqdt0(sz10, xm)], (44 ^ _66782) ^ [_68305, _68307, _68309, _68311] : [-(sdtmndt0(_68311, _68307) = sdtmndt0(_68309, _68305)), _68311 = _68309, _68307 = _68305], (54 ^ _66782) ^ [_68664, _68666, _68668, _68670] : [-(sdtpldt0(_68670, _68666) = sdtpldt0(_68668, _68664)), _68670 = _68668, _68666 = _68664], (64 ^ _66782) ^ [_69003, _69005, _69007, _69009] : [-(sdtasdt0(_69009, _69005) = sdtasdt0(_69007, _69003)), _69009 = _69007, _69005 = _69003], (2 ^ _66782) ^ [_66926] : [-(_66926 = _66926)], (4 ^ _66782) ^ [_67033, _67035] : [_67035 = _67033, -(_67033 = _67035)], (10 ^ _66782) ^ [_67237, _67239, _67241] : [-(_67241 = _67237), _67241 = _67239, _67239 = _67237], (20 ^ _66782) ^ [_67550, _67552] : [-(aNaturalNumber0(_67550)), _67552 = _67550, aNaturalNumber0(_67552)], (30 ^ _66782) ^ [_67853, _67855, _67857, _67859] : [-(sdtlseqdt0(_67857, _67853)), sdtlseqdt0(_67859, _67855), _67859 = _67857, _67855 = _67853], (74 ^ _66782) ^ [_69330] : [aNaturalNumber0(_69330), true___, -(true___)], (84 ^ _66782) ^ [] : [-(aNaturalNumber0(sz00))], (86 ^ _66782) ^ [] : [-(aNaturalNumber0(sz10))], (88 ^ _66782) ^ [] : [sz10 = sz00], (90 ^ _66782) ^ [_69759, _69761] : [-(aNaturalNumber0(sdtpldt0(_69761, _69759))), aNaturalNumber0(_69761), aNaturalNumber0(_69759)], (100 ^ _66782) ^ [_70058, _70060] : [-(aNaturalNumber0(sdtasdt0(_70060, _70058))), aNaturalNumber0(_70060), aNaturalNumber0(_70058)], (110 ^ _66782) ^ [_70357, _70359] : [-(sdtpldt0(_70359, _70357) = sdtpldt0(_70357, _70359)), aNaturalNumber0(_70359), aNaturalNumber0(_70357)], (120 ^ _66782) ^ [_70678, _70680, _70682] : [-(sdtpldt0(sdtpldt0(_70682, _70680), _70678) = sdtpldt0(_70682, sdtpldt0(_70680, _70678))), aNaturalNumber0(_70682), aNaturalNumber0(_70680), aNaturalNumber0(_70678)], (134 ^ _66782) ^ [_71084] : [aNaturalNumber0(_71084), 137 ^ _66782 : [(138 ^ _66782) ^ [] : [-(sdtpldt0(_71084, sz00) = _71084)], (140 ^ _66782) ^ [] : [-(_71084 = sdtpldt0(sz00, _71084))]]], (142 ^ _66782) ^ [_71371, _71373] : [-(sdtasdt0(_71373, _71371) = sdtasdt0(_71371, _71373)), aNaturalNumber0(_71373), aNaturalNumber0(_71371)], (152 ^ _66782) ^ [_71692, _71694, _71696] : [-(sdtasdt0(sdtasdt0(_71696, _71694), _71692) = sdtasdt0(_71696, sdtasdt0(_71694, _71692))), aNaturalNumber0(_71696), aNaturalNumber0(_71694), aNaturalNumber0(_71692)], (166 ^ _66782) ^ [_72098] : [aNaturalNumber0(_72098), 169 ^ _66782 : [(170 ^ _66782) ^ [] : [-(sdtasdt0(_72098, sz10) = _72098)], (172 ^ _66782) ^ [] : [-(_72098 = sdtasdt0(sz10, _72098))]]], (174 ^ _66782) ^ [_72371] : [aNaturalNumber0(_72371), 177 ^ _66782 : [(178 ^ _66782) ^ [] : [-(sdtasdt0(_72371, sz00) = sz00)], (180 ^ _66782) ^ [] : [-(sz00 = sdtasdt0(sz00, _72371))]]], (182 ^ _66782) ^ [_72672, _72674, _72676] : [193 ^ _66782 : [(194 ^ _66782) ^ [] : [-(sdtasdt0(_72676, sdtpldt0(_72674, _72672)) = sdtpldt0(sdtasdt0(_72676, _72674), sdtasdt0(_72676, _72672)))], (196 ^ _66782) ^ [] : [-(sdtasdt0(sdtpldt0(_72674, _72672), _72676) = sdtpldt0(sdtasdt0(_72674, _72676), sdtasdt0(_72672, _72676)))]], aNaturalNumber0(_72676), aNaturalNumber0(_72674), aNaturalNumber0(_72672)], (198 ^ _66782) ^ [_73219, _73221, _73223] : [211 ^ _66782 : [(212 ^ _66782) ^ [] : [sdtpldt0(_73223, _73221) = sdtpldt0(_73223, _73219)], (214 ^ _66782) ^ [] : [sdtpldt0(_73221, _73223) = sdtpldt0(_73219, _73223)]], -(_73221 = _73219), aNaturalNumber0(_73223), aNaturalNumber0(_73221), aNaturalNumber0(_73219)], (218 ^ _66782) ^ [_73796] : [aNaturalNumber0(_73796), -(_73796 = sz00), 225 ^ _66782 : [(226 ^ _66782) ^ [_74058, _74060] : [aNaturalNumber0(_74060), aNaturalNumber0(_74058), 235 ^ _66782 : [(236 ^ _66782) ^ [] : [sdtasdt0(_73796, _74060) = sdtasdt0(_73796, _74058)], (238 ^ _66782) ^ [] : [sdtasdt0(_74060, _73796) = sdtasdt0(_74058, _73796)]], -(_74060 = _74058)]]], (242 ^ _66782) ^ [_74569, _74571] : [aNaturalNumber0(_74571), aNaturalNumber0(_74569), sdtpldt0(_74571, _74569) = sz00, 253 ^ _66782 : [(254 ^ _66782) ^ [] : [-(_74571 = sz00)], (256 ^ _66782) ^ [] : [-(_74569 = sz00)]]], (258 ^ _66782) ^ [_75036, _75038] : [aNaturalNumber0(_75038), aNaturalNumber0(_75036), sdtasdt0(_75038, _75036) = sz00, -(_75038 = sz00), -(_75036 = sz00)], (276 ^ _66782) ^ [_75518, _75520] : [aNaturalNumber0(_75520), aNaturalNumber0(_75518), 283 ^ _66782 : [(284 ^ _66782) ^ [] : [sdtlseqdt0(_75520, _75518), 288 ^ _66782 : [(289 ^ _66782) ^ [] : [-(aNaturalNumber0(287 ^ [_75518, _75520]))], (291 ^ _66782) ^ [] : [-(sdtpldt0(_75520, 287 ^ [_75518, _75520]) = _75518)]]], (293 ^ _66782) ^ [] : [-(sdtlseqdt0(_75520, _75518)), 294 ^ _66782 : [(295 ^ _66782) ^ [_76078] : [aNaturalNumber0(_76078), sdtpldt0(_75520, _76078) = _75518]]]]], (303 ^ _66782) ^ [_76361, _76363] : [aNaturalNumber0(_76363), aNaturalNumber0(_76361), sdtlseqdt0(_76363, _76361), 314 ^ _66782 : [(315 ^ _66782) ^ [_76708] : [_76708 = sdtmndt0(_76361, _76363), 318 ^ _66782 : [(319 ^ _66782) ^ [] : [-(aNaturalNumber0(_76708))], (321 ^ _66782) ^ [] : [-(sdtpldt0(_76363, _76708) = _76361)]]], (323 ^ _66782) ^ [_76967] : [-(_76967 = sdtmndt0(_76361, _76363)), aNaturalNumber0(_76967), sdtpldt0(_76363, _76967) = _76361]]], (333 ^ _66782) ^ [_77289] : [aNaturalNumber0(_77289), -(sdtlseqdt0(_77289, _77289))], (339 ^ _66782) ^ [_77491, _77493] : [aNaturalNumber0(_77493), aNaturalNumber0(_77491), -(_77493 = _77491), sdtlseqdt0(_77493, _77491), sdtlseqdt0(_77491, _77493)], (357 ^ _66782) ^ [_77980, _77982, _77984] : [aNaturalNumber0(_77984), aNaturalNumber0(_77982), aNaturalNumber0(_77980), -(sdtlseqdt0(_77984, _77980)), sdtlseqdt0(_77984, _77982), sdtlseqdt0(_77982, _77980)], (379 ^ _66782) ^ [_78566, _78568] : [aNaturalNumber0(_78568), aNaturalNumber0(_78566), -(sdtlseqdt0(_78568, _78566)), 390 ^ _66782 : [(391 ^ _66782) ^ [] : [_78566 = _78568], (393 ^ _66782) ^ [] : [-(sdtlseqdt0(_78566, _78568))]]], (395 ^ _66782) ^ [_79029, _79031] : [aNaturalNumber0(_79031), aNaturalNumber0(_79029), -(_79031 = _79029), sdtlseqdt0(_79031, _79029), 410 ^ _66782 : [(411 ^ _66782) ^ [_79473] : [aNaturalNumber0(_79473), 414 ^ _66782 : [(415 ^ _66782) ^ [] : [sdtpldt0(_79473, _79031) = sdtpldt0(_79473, _79029)], (417 ^ _66782) ^ [] : [-(sdtlseqdt0(sdtpldt0(_79473, _79031), sdtpldt0(_79473, _79029)))], (419 ^ _66782) ^ [] : [sdtpldt0(_79031, _79473) = sdtpldt0(_79029, _79473)], (421 ^ _66782) ^ [] : [-(sdtlseqdt0(sdtpldt0(_79031, _79473), sdtpldt0(_79029, _79473)))]]]]], (471 ^ _66782) ^ [] : [-(aNaturalNumber0(xm))], (473 ^ _66782) ^ [] : [-(aNaturalNumber0(xn))], (455 ^ _66782) ^ [_80947] : [aNaturalNumber0(_80947), -(_80947 = sz00), -(_80947 = sz10), 466 ^ _66782 : [(467 ^ _66782) ^ [] : [sz10 = _80947], (469 ^ _66782) ^ [] : [-(sdtlseqdt0(sz10, _80947))]]], (423 ^ _66782) ^ [_79997, _79999, _80001] : [aNaturalNumber0(_80001), aNaturalNumber0(_79999), aNaturalNumber0(_79997), 446 ^ _66782 : [(447 ^ _66782) ^ [] : [sdtasdt0(_80001, _79999) = sdtasdt0(_80001, _79997)], (449 ^ _66782) ^ [] : [-(sdtlseqdt0(sdtasdt0(_80001, _79999), sdtasdt0(_80001, _79997)))], (451 ^ _66782) ^ [] : [sdtasdt0(_79999, _80001) = sdtasdt0(_79997, _80001)], (453 ^ _66782) ^ [] : [-(sdtlseqdt0(sdtasdt0(_79999, _80001), sdtasdt0(_79997, _80001)))]], -(_80001 = sz00), -(_79999 = _79997), sdtlseqdt0(_79999, _79997)]], input).
% 0.36/1.37 ncf('1',plain,[xm = sz00],start(475 ^ 0)).
% 0.36/1.37 ncf('1.1',plain,[-(xm = sz00), aNaturalNumber0(xm), -(xm = sz10), 469 : -(sdtlseqdt0(sz10, xm))],extension(455 ^ 1,bind([[_80947], [xm]]))).
% 0.36/1.37 ncf('1.1.1',plain,[-(aNaturalNumber0(xm))],extension(471 ^ 2)).
% 0.36/1.37 ncf('1.1.2',plain,[xm = sz10, aNaturalNumber0(sz10), aNaturalNumber0(xm), -(sdtlseqdt0(sz10, xm))],extension(379 ^ 2,bind([[_78566, _78568], [xm, sz10]]))).
% 0.36/1.37 ncf('1.1.2.1',plain,[-(aNaturalNumber0(sz10))],extension(86 ^ 3)).
% 0.36/1.37 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 0.36/1.37 ncf('1.1.2.3',plain,[sdtlseqdt0(sz10, xm)],extension(477 ^ 3)).
% 0.36/1.37 ncf('1.1.3',plain,[sdtlseqdt0(sz10, xm)],extension(477 ^ 4)).
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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