TSTP Solution File: NUM434+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM434+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 11:44:37 EDT 2023
% Result : Theorem 31.91s 31.46s
% Output : Proof 31.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM434+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n003.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 : Thu May 18 17:06:45 EDT 2023
% 0.13/0.34 % CPUTime :
% 31.91/31.46
% 31.91/31.46 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 31.91/31.46 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.91/31.46 %-----------------------------------------------------
% 31.91/31.46 ncf(matrix, plain, [(393 ^ _73035) ^ [_85386] : [aInteger0(_85386), sdtasdt0(sdtasdt0(xp, xq), _85386) = sdtpldt0(xa, smndt0(xb))], (62 ^ _73035) ^ [_75169, _75171, _75173, _75175] : [-(sdtasdt0(_75175, _75171) = sdtasdt0(_75173, _75169)), _75175 = _75173, _75171 = _75169], (82 ^ _73035) ^ [_75839, _75841] : [_75841 = _75839, -(smndt0(_75841) = smndt0(_75839))], (72 ^ _73035) ^ [_75528, _75530, _75532, _75534] : [-(sdtpldt0(_75534, _75530) = sdtpldt0(_75532, _75528)), _75534 = _75532, _75530 = _75528], (2 ^ _73035) ^ [_73179] : [-(_73179 = _73179)], (4 ^ _73035) ^ [_73286, _73288] : [_73288 = _73286, -(_73286 = _73288)], (10 ^ _73035) ^ [_73490, _73492, _73494] : [-(_73494 = _73490), _73494 = _73492, _73492 = _73490], (20 ^ _73035) ^ [_73831, _73833, _73835, _73837] : [-(aDivisorOf0(_73835, _73831)), aDivisorOf0(_73837, _73833), _73837 = _73835, _73833 = _73831], (52 ^ _73035) ^ [_74836, _74838] : [-(aInteger0(_74836)), _74838 = _74836, aInteger0(_74838)], (34 ^ _73035) ^ [_74303, _74305, _74307, _74309, _74311, _74313] : [-(sdteqdtlpzmzozddtrp0(_74311, _74307, _74303)), sdteqdtlpzmzozddtrp0(_74313, _74309, _74305), _74313 = _74311, _74309 = _74307, _74305 = _74303], (88 ^ _73035) ^ [_76053] : [aInteger0(_76053), true___, -(true___)], (98 ^ _73035) ^ [] : [-(aInteger0(sz00))], (100 ^ _73035) ^ [] : [-(aInteger0(sz10))], (102 ^ _73035) ^ [_76414] : [aInteger0(_76414), -(aInteger0(smndt0(_76414)))], (108 ^ _73035) ^ [_76618, _76620] : [-(aInteger0(sdtpldt0(_76620, _76618))), aInteger0(_76620), aInteger0(_76618)], (118 ^ _73035) ^ [_76917, _76919] : [-(aInteger0(sdtasdt0(_76919, _76917))), aInteger0(_76919), aInteger0(_76917)], (128 ^ _73035) ^ [_77230, _77232, _77234] : [-(sdtpldt0(_77234, sdtpldt0(_77232, _77230)) = sdtpldt0(sdtpldt0(_77234, _77232), _77230)), aInteger0(_77234), aInteger0(_77232), aInteger0(_77230)], (142 ^ _73035) ^ [_77650, _77652] : [-(sdtpldt0(_77652, _77650) = sdtpldt0(_77650, _77652)), aInteger0(_77652), aInteger0(_77650)], (152 ^ _73035) ^ [_77943] : [aInteger0(_77943), 155 ^ _73035 : [(156 ^ _73035) ^ [] : [-(sdtpldt0(_77943, sz00) = _77943)], (158 ^ _73035) ^ [] : [-(_77943 = sdtpldt0(sz00, _77943))]]], (160 ^ _73035) ^ [_78216] : [aInteger0(_78216), 163 ^ _73035 : [(164 ^ _73035) ^ [] : [-(sdtpldt0(_78216, smndt0(_78216)) = sz00)], (166 ^ _73035) ^ [] : [-(sz00 = sdtpldt0(smndt0(_78216), _78216))]]], (168 ^ _73035) ^ [_78525, _78527, _78529] : [-(sdtasdt0(_78529, sdtasdt0(_78527, _78525)) = sdtasdt0(sdtasdt0(_78529, _78527), _78525)), aInteger0(_78529), aInteger0(_78527), aInteger0(_78525)], (182 ^ _73035) ^ [_78945, _78947] : [-(sdtasdt0(_78947, _78945) = sdtasdt0(_78945, _78947)), aInteger0(_78947), aInteger0(_78945)], (192 ^ _73035) ^ [_79238] : [aInteger0(_79238), 195 ^ _73035 : [(196 ^ _73035) ^ [] : [-(sdtasdt0(_79238, sz10) = _79238)], (198 ^ _73035) ^ [] : [-(_79238 = sdtasdt0(sz10, _79238))]]], (200 ^ _73035) ^ [_79539, _79541, _79543] : [211 ^ _73035 : [(212 ^ _73035) ^ [] : [-(sdtasdt0(_79543, sdtpldt0(_79541, _79539)) = sdtpldt0(sdtasdt0(_79543, _79541), sdtasdt0(_79543, _79539)))], (214 ^ _73035) ^ [] : [-(sdtasdt0(sdtpldt0(_79543, _79541), _79539) = sdtpldt0(sdtasdt0(_79543, _79539), sdtasdt0(_79541, _79539)))]], aInteger0(_79543), aInteger0(_79541), aInteger0(_79539)], (216 ^ _73035) ^ [_80058] : [aInteger0(_80058), 219 ^ _73035 : [(220 ^ _73035) ^ [] : [-(sdtasdt0(_80058, sz00) = sz00)], (222 ^ _73035) ^ [] : [-(sz00 = sdtasdt0(sz00, _80058))]]], (224 ^ _73035) ^ [_80331] : [aInteger0(_80331), 227 ^ _73035 : [(228 ^ _73035) ^ [] : [-(sdtasdt0(smndt0(sz10), _80331) = smndt0(_80331))], (230 ^ _73035) ^ [] : [-(smndt0(_80331) = sdtasdt0(_80331, smndt0(sz10)))]]], (232 ^ _73035) ^ [_80626, _80628] : [aInteger0(_80628), aInteger0(_80626), sdtasdt0(_80628, _80626) = sz00, -(_80628 = sz00), -(_80626 = sz00)], (250 ^ _73035) ^ [_81094] : [aInteger0(_81094), 253 ^ _73035 : [(254 ^ _73035) ^ [_81280] : [aDivisorOf0(_81280, _81094), 257 ^ _73035 : [(258 ^ _73035) ^ [] : [-(aInteger0(_81280))], (260 ^ _73035) ^ [] : [_81280 = sz00], (263 ^ _73035) ^ [] : [-(aInteger0(261 ^ [_81094, _81280]))], (265 ^ _73035) ^ [] : [-(sdtasdt0(_81280, 261 ^ [_81094, _81280]) = _81094)]]], (267 ^ _73035) ^ [_81742] : [-(aDivisorOf0(_81742, _81094)), aInteger0(_81742), -(_81742 = sz00), 276 ^ _73035 : [(277 ^ _73035) ^ [_82009] : [aInteger0(_82009), sdtasdt0(_81742, _82009) = _81094]]]]], (285 ^ _73035) ^ [_82312, _82314, _82316] : [aInteger0(_82316), aInteger0(_82314), aInteger0(_82312), -(_82312 = sz00), 300 ^ _73035 : [(301 ^ _73035) ^ [] : [sdteqdtlpzmzozddtrp0(_82316, _82314, _82312), -(aDivisorOf0(_82312, sdtpldt0(_82316, smndt0(_82314))))], (307 ^ _73035) ^ [] : [aDivisorOf0(_82312, sdtpldt0(_82316, smndt0(_82314))), -(sdteqdtlpzmzozddtrp0(_82316, _82314, _82312))]]], (313 ^ _73035) ^ [_83088, _83090] : [-(sdteqdtlpzmzozddtrp0(_83090, _83090, _83088)), aInteger0(_83090), aInteger0(_83088), -(_83088 = sz00)], (327 ^ _73035) ^ [_83491, _83493, _83495] : [sdteqdtlpzmzozddtrp0(_83495, _83493, _83491), -(sdteqdtlpzmzozddtrp0(_83493, _83495, _83491)), aInteger0(_83495), aInteger0(_83493), aInteger0(_83491), -(_83491 = sz00)], (379 ^ _73035) ^ [] : [-(aInteger0(xa))], (381 ^ _73035) ^ [] : [-(aInteger0(xb))], (383 ^ _73035) ^ [] : [-(aInteger0(xp))], (385 ^ _73035) ^ [] : [xp = sz00], (387 ^ _73035) ^ [] : [-(aInteger0(xq))], (389 ^ _73035) ^ [] : [xq = sz00], (391 ^ _73035) ^ [] : [-(sdteqdtlpzmzozddtrp0(xa, xb, sdtasdt0(xp, xq)))], (349 ^ _73035) ^ [_84110, _84112, _84114, _84116] : [-(sdteqdtlpzmzozddtrp0(_84116, _84110, _84112)), sdteqdtlpzmzozddtrp0(_84116, _84114, _84112), sdteqdtlpzmzozddtrp0(_84114, _84110, _84112), aInteger0(_84116), aInteger0(_84114), aInteger0(_84112), -(_84112 = sz00), aInteger0(_84110)]], input).
% 31.91/31.46 ncf('1',plain,[aInteger0(sz00), 254 : aDivisorOf0(sdtasdt0(xp, xq), sz00), 260 : sdtasdt0(xp, xq) = sz00],start(250 ^ 0,bind([[_81094, _81280], [sz00, sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.1',plain,[-(aInteger0(sz00))],extension(98 ^ 1)).
% 31.91/31.46 ncf('1.2',plain,[-(aDivisorOf0(sdtasdt0(xp, xq), sz00)), aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb))), sdtasdt0(xp, xq) = sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb)) = sz00],extension(20 ^ 3,bind([[_73831, _73833, _73835, _73837], [sz00, sdtpldt0(xa, smndt0(xb)), sdtasdt0(xp, xq), sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.2.1',plain,[-(aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb))), sdtasdt0(xp, xq) = sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(20 ^ 4,bind([[_73831, _73833, _73835, _73837], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), sdtasdt0(xp, xq), sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.2.1.1',plain,[-(aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb))), sdtasdt0(xp, xq) = sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(20 ^ 5,bind([[_73831, _73833, _73835, _73837], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), sdtasdt0(xp, xq), sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.2.1.1.1',plain,[-(aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb))), sdtasdt0(xp, xq) = sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(20 ^ 6,bind([[_73831, _73833, _73835, _73837], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), sdtasdt0(xp, xq), sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.2.1.1.1.1',plain,[-(aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb)))), 301 : sdteqdtlpzmzozddtrp0(xa, xb, sdtasdt0(xp, xq)), 301 : aInteger0(xa), 301 : aInteger0(xb), 301 : aInteger0(sdtasdt0(xp, xq)), 301 : -(sdtasdt0(xp, xq) = sz00)],extension(285 ^ 7,bind([[_82312, _82314, _82316], [sdtasdt0(xp, xq), xb, xa]]))).
% 31.91/31.46 ncf('1.2.1.1.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xa, xb, sdtasdt0(xp, xq)))],extension(391 ^ 10)).
% 31.91/31.46 ncf('1.2.1.1.1.1.2',plain,[-(aInteger0(xa))],extension(379 ^ 8)).
% 31.91/31.46 ncf('1.2.1.1.1.1.3',plain,[-(aInteger0(xb))],extension(381 ^ 8)).
% 31.91/31.46 ncf('1.2.1.1.1.1.4',plain,[-(aInteger0(sdtasdt0(xp, xq))), aInteger0(xp), aInteger0(xq)],extension(118 ^ 8,bind([[_76917, _76919], [xq, xp]]))).
% 31.91/31.46 ncf('1.2.1.1.1.1.4.1',plain,[-(aInteger0(xp))],extension(383 ^ 9)).
% 31.91/31.46 ncf('1.2.1.1.1.1.4.2',plain,[-(aInteger0(xq))],extension(387 ^ 9)).
% 31.91/31.46 ncf('1.2.1.1.1.1.5',plain,[sdtasdt0(xp, xq) = sz00, aInteger0(xp), aInteger0(xq), -(xp = sz00), -(xq = sz00)],extension(232 ^ 8,bind([[_80626, _80628], [xq, xp]]))).
% 31.91/31.46 ncf('1.2.1.1.1.1.5.1',plain,[-(aInteger0(xp))],extension(383 ^ 9)).
% 31.91/31.46 ncf('1.2.1.1.1.1.5.2',plain,[-(aInteger0(xq))],extension(387 ^ 9)).
% 31.91/31.46 ncf('1.2.1.1.1.1.5.3',plain,[xp = sz00],extension(385 ^ 9)).
% 31.91/31.46 ncf('1.2.1.1.1.1.5.4',plain,[xq = sz00],extension(389 ^ 9)).
% 31.91/31.46 ncf('1.2.1.1.1.2',plain,[-(sdtasdt0(xp, xq) = sdtasdt0(xp, xq)), xp = xp, xq = xq],extension(62 ^ 7,bind([[_75169, _75171, _75173, _75175], [xq, xq, xp, xp]]))).
% 31.91/31.46 ncf('1.2.1.1.1.2.1',plain,[-(xp = xp)],extension(2 ^ 8,bind([[_73179], [xp]]))).
% 31.91/31.46 ncf('1.2.1.1.1.2.2',plain,[-(xq = xq)],extension(2 ^ 8,bind([[_73179], [xq]]))).
% 31.91/31.46 ncf('1.2.1.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(72 ^ 7,bind([[_75528, _75530, _75532, _75534], [smndt0(xb), smndt0(xb), xa, xa]]))).
% 31.91/31.46 ncf('1.2.1.1.1.3.1',plain,[-(xa = xa)],extension(2 ^ 8,bind([[_73179], [xa]]))).
% 31.91/31.46 ncf('1.2.1.1.1.3.2',plain,[-(smndt0(xb) = smndt0(xb))],extension(2 ^ 8,bind([[_73179], [smndt0(xb)]]))).
% 31.91/31.46 ncf('1.2.1.1.2',plain,[-(sdtasdt0(xp, xq) = sdtasdt0(xp, xq)), xp = xp, xq = xq],extension(62 ^ 6,bind([[_75169, _75171, _75173, _75175], [xq, xq, xp, xp]]))).
% 31.91/31.46 ncf('1.2.1.1.2.1',plain,[-(xp = xp)],extension(2 ^ 7,bind([[_73179], [xp]]))).
% 31.91/31.46 ncf('1.2.1.1.2.2',plain,[-(xq = xq)],extension(2 ^ 7,bind([[_73179], [xq]]))).
% 31.91/31.46 ncf('1.2.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(72 ^ 6,bind([[_75528, _75530, _75532, _75534], [smndt0(xb), smndt0(xb), xa, xa]]))).
% 31.91/31.46 ncf('1.2.1.1.3.1',plain,[-(xa = xa)],extension(2 ^ 7,bind([[_73179], [xa]]))).
% 31.91/31.46 ncf('1.2.1.1.3.2',plain,[-(smndt0(xb) = smndt0(xb)), xb = xb],extension(82 ^ 7,bind([[_75839, _75841], [xb, xb]]))).
% 31.91/31.46 ncf('1.2.1.1.3.2.1',plain,[-(xb = xb)],extension(2 ^ 8,bind([[_73179], [xb]]))).
% 31.91/31.46 ncf('1.2.1.2',plain,[-(sdtasdt0(xp, xq) = sdtasdt0(xp, xq)), xp = xp, xq = xq],extension(62 ^ 5,bind([[_75169, _75171, _75173, _75175], [xq, xq, xp, xp]]))).
% 31.91/31.46 ncf('1.2.1.2.1',plain,[-(xp = xp)],extension(2 ^ 6,bind([[_73179], [xp]]))).
% 31.91/31.46 ncf('1.2.1.2.2',plain,[-(xq = xq)],extension(2 ^ 6,bind([[_73179], [xq]]))).
% 31.91/31.46 ncf('1.2.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(72 ^ 5,bind([[_75528, _75530, _75532, _75534], [smndt0(xb), smndt0(xb), xa, xa]]))).
% 31.91/31.46 ncf('1.2.1.3.1',plain,[-(xa = xa)],extension(2 ^ 6,bind([[_73179], [xa]]))).
% 31.91/31.46 ncf('1.2.1.3.2',plain,[-(smndt0(xb) = smndt0(xb)), xb = xb],extension(82 ^ 6,bind([[_75839, _75841], [xb, xb]]))).
% 31.91/31.46 ncf('1.2.1.3.2.1',plain,[-(xb = xb)],extension(2 ^ 7,bind([[_73179], [xb]]))).
% 31.91/31.46 ncf('1.2.2',plain,[-(sdtasdt0(xp, xq) = sdtasdt0(xp, xq)), xp = xp, xq = xq],extension(62 ^ 4,bind([[_75169, _75171, _75173, _75175], [xq, xq, xp, xp]]))).
% 31.91/31.46 ncf('1.2.2.1',plain,[-(xp = xp)],extension(2 ^ 5,bind([[_73179], [xp]]))).
% 31.91/31.46 ncf('1.2.2.2',plain,[-(xq = xq)],extension(2 ^ 5,bind([[_73179], [xq]]))).
% 31.91/31.46 ncf('1.2.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sz00), aInteger0(sdtpldt0(xa, smndt0(xb))), aInteger0(sz00), sdtasdt0(sdtpldt0(xa, smndt0(xb)), sz00) = sz00, -(sz00 = sz00)],extension(232 ^ 4,bind([[_80626, _80628], [sz00, sdtpldt0(xa, smndt0(xb))]]))).
% 31.91/31.46 ncf('1.2.3.1',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb)))), aInteger0(xa), aInteger0(smndt0(xb))],extension(108 ^ 5,bind([[_76618, _76620], [smndt0(xb), xa]]))).
% 31.91/31.46 ncf('1.2.3.1.1',plain,[-(aInteger0(xa))],extension(379 ^ 6)).
% 31.91/31.46 ncf('1.2.3.1.2',plain,[-(aInteger0(smndt0(xb))), aInteger0(xb)],extension(102 ^ 6,bind([[_76414], [xb]]))).
% 31.91/31.46 ncf('1.2.3.1.2.1',plain,[-(aInteger0(xb))],extension(381 ^ 7)).
% 31.91/31.46 ncf('1.2.3.2',plain,[-(aInteger0(sz00))],extension(98 ^ 5)).
% 31.91/31.46 ncf('1.2.3.3',plain,[-(sdtasdt0(sdtpldt0(xa, smndt0(xb)), sz00) = sz00), aInteger0(sdtpldt0(xa, smndt0(xb)))],extension(216 ^ 5,bind([[_80058], [sdtpldt0(xa, smndt0(xb))]]))).
% 31.91/31.46 ncf('1.2.3.3.1',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb))))],lemmata('[2, 1].x')).
% 31.91/31.46 ncf('1.2.3.4',plain,[sz00 = sz00, -(sdtasdt0(sdtasdt0(xp, xq), sz00) = sdtasdt0(sz00, sz00)), sdtasdt0(xp, xq) = sz00],extension(62 ^ 5,bind([[_75169, _75171, _75173, _75175], [sz00, sz00, sz00, sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.2.3.4.1',plain,[sdtasdt0(sdtasdt0(xp, xq), sz00) = sdtasdt0(sz00, sz00), 277 : aInteger0(sz00), 277 : -(aDivisorOf0(sdtasdt0(xp, xq), sdtasdt0(sz00, sz00))), 277 : aInteger0(sdtasdt0(xp, xq)), 277 : -(sdtasdt0(xp, xq) = sz00), 267 : aInteger0(sdtasdt0(sz00, sz00))],extension(250 ^ 6,bind([[_81094, _81742, _82009], [sdtasdt0(sz00, sz00), sdtasdt0(xp, xq), sz00]]))).
% 31.91/31.46 ncf('1.2.3.4.1.1',plain,[-(aInteger0(sz00))],lemmata('[2, 1].x')).
% 31.91/31.46 ncf('1.2.3.4.1.2',plain,[aDivisorOf0(sdtasdt0(xp, xq), sdtasdt0(sz00, sz00)), -(aDivisorOf0(sdtasdt0(xp, xq), sz00)), sdtasdt0(xp, xq) = sdtasdt0(xp, xq), sdtasdt0(sz00, sz00) = sz00],extension(20 ^ 9,bind([[_73831, _73833, _73835, _73837], [sz00, sdtasdt0(sz00, sz00), sdtasdt0(xp, xq), sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.2.3.4.1.2.1',plain,[aDivisorOf0(sdtasdt0(xp, xq), sz00)],reduction('1')).
% 31.91/31.46 ncf('1.2.3.4.1.2.2',plain,[-(sdtasdt0(xp, xq) = sdtasdt0(xp, xq))],extension(2 ^ 10,bind([[_73179], [sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.2.3.4.1.2.3',plain,[-(sdtasdt0(sz00, sz00) = sz00), aInteger0(sz00)],extension(216 ^ 10,bind([[_80058], [sz00]]))).
% 31.91/31.46 ncf('1.2.3.4.1.2.3.1',plain,[-(aInteger0(sz00))],extension(98 ^ 11)).
% 31.91/31.46 ncf('1.2.3.4.1.3',plain,[-(aInteger0(sdtasdt0(xp, xq))), aInteger0(xp), aInteger0(xq)],extension(118 ^ 9,bind([[_76917, _76919], [xq, xp]]))).
% 31.91/31.46 ncf('1.2.3.4.1.3.1',plain,[-(aInteger0(xp))],extension(383 ^ 10)).
% 31.91/31.46 ncf('1.2.3.4.1.3.2',plain,[-(aInteger0(xq))],extension(387 ^ 10)).
% 31.91/31.46 ncf('1.2.3.4.1.4',plain,[sdtasdt0(xp, xq) = sz00, -(sdtasdt0(xp, xq) = sz00), sz00 = sz00],extension(10 ^ 9,bind([[_73490, _73492, _73494], [sz00, sz00, sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.2.3.4.1.4.1',plain,[sdtasdt0(xp, xq) = sz00, aInteger0(xp), aInteger0(xq), -(xp = sz00), -(xq = sz00)],extension(232 ^ 10,bind([[_80626, _80628], [xq, xp]]))).
% 31.91/31.46 ncf('1.2.3.4.1.4.1.1',plain,[-(aInteger0(xp))],extension(383 ^ 11)).
% 31.91/31.46 ncf('1.2.3.4.1.4.1.2',plain,[-(aInteger0(xq))],extension(387 ^ 11)).
% 31.91/31.46 ncf('1.2.3.4.1.4.1.3',plain,[xp = sz00],extension(385 ^ 11)).
% 31.91/31.46 ncf('1.2.3.4.1.4.1.4',plain,[xq = sz00],extension(389 ^ 11)).
% 31.91/31.46 ncf('1.2.3.4.1.4.2',plain,[-(sz00 = sz00)],reduction('1.2.3')).
% 31.91/31.46 ncf('1.2.3.4.1.5',plain,[-(aInteger0(sdtasdt0(sz00, sz00))), aInteger0(sz00), aInteger0(sz00)],extension(118 ^ 7,bind([[_76917, _76919], [sz00, sz00]]))).
% 31.91/31.46 ncf('1.2.3.4.1.5.1',plain,[-(aInteger0(sz00))],lemmata('[2, 1].x')).
% 31.91/31.46 ncf('1.2.3.4.1.5.2',plain,[-(aInteger0(sz00))],lemmata('[1, 4, 3, 2, 1].x')).
% 31.91/31.46 ncf('1.2.3.4.2',plain,[-(sdtasdt0(xp, xq) = sz00), -(aDivisorOf0(sdtasdt0(xp, xq), sz00)), aInteger0(sdtasdt0(xp, xq)), 277 : aInteger0(sz00), 277 : sdtasdt0(sdtasdt0(xp, xq), sz00) = sz00],extension(267 ^ 6,bind([[_81742, _82009], [sdtasdt0(xp, xq), sz00]]))).
% 31.91/31.46 ncf('1.2.3.4.2.1',plain,[aDivisorOf0(sdtasdt0(xp, xq), sz00)],reduction('1')).
% 31.91/31.46 ncf('1.2.3.4.2.2',plain,[-(aInteger0(sdtasdt0(xp, xq))), aInteger0(xp), aInteger0(xq)],extension(118 ^ 7,bind([[_76917, _76919], [xq, xp]]))).
% 31.91/31.46 ncf('1.2.3.4.2.2.1',plain,[-(aInteger0(xp))],extension(383 ^ 8)).
% 31.91/31.46 ncf('1.2.3.4.2.2.2',plain,[-(aInteger0(xq))],extension(387 ^ 8)).
% 31.91/31.46 ncf('1.2.3.4.2.3',plain,[-(aInteger0(sz00))],extension(98 ^ 9)).
% 31.91/31.46 ncf('1.2.3.4.2.4',plain,[-(sdtasdt0(sdtasdt0(xp, xq), sz00) = sz00), aInteger0(sdtasdt0(xp, xq))],extension(216 ^ 9,bind([[_80058], [sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.2.3.4.2.4.1',plain,[-(aInteger0(sdtasdt0(xp, xq)))],lemmata('[4, 3, 2, 1].x')).
% 31.91/31.46 ncf('1.3',plain,[-(sdtasdt0(xp, xq) = sz00), -(sdteqdtlpzmzozddtrp0(xa, xa, sdtasdt0(xp, xq))), aInteger0(xa), aInteger0(sdtasdt0(xp, xq))],extension(313 ^ 5,bind([[_83088, _83090], [sdtasdt0(xp, xq), xa]]))).
% 31.91/31.46 ncf('1.3.1',plain,[sdteqdtlpzmzozddtrp0(xa, xa, sdtasdt0(xp, xq)), -(sdteqdtlpzmzozddtrp0(xa, xb, sdtasdt0(xp, xq))), sdteqdtlpzmzozddtrp0(xa, xb, sdtasdt0(xp, xq)), aInteger0(xa), aInteger0(xa), aInteger0(sdtasdt0(xp, xq)), -(sdtasdt0(xp, xq) = sz00), aInteger0(xb)],extension(349 ^ 6,bind([[_84110, _84112, _84114, _84116], [xb, sdtasdt0(xp, xq), xa, xa]]))).
% 31.91/31.46 ncf('1.3.1.1',plain,[sdteqdtlpzmzozddtrp0(xa, xb, sdtasdt0(xp, xq)), 301 : -(aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb)))), 301 : aInteger0(xa), 301 : aInteger0(xb), 301 : aInteger0(sdtasdt0(xp, xq)), 301 : -(sdtasdt0(xp, xq) = sz00)],extension(285 ^ 7,bind([[_82312, _82314, _82316], [sdtasdt0(xp, xq), xb, xa]]))).
% 31.91/31.46 ncf('1.3.1.1.1',plain,[aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb))), 263 : -(aInteger0(261 ^ [sdtpldt0(xa, smndt0(xb)), sdtasdt0(xp, xq)])), 254 : aInteger0(sdtpldt0(xa, smndt0(xb)))],extension(250 ^ 10,bind([[_81094, _81280], [sdtpldt0(xa, smndt0(xb)), sdtasdt0(xp, xq)]]))).
% 31.91/31.46 ncf('1.3.1.1.1.1',plain,[aInteger0(261 ^ [sdtpldt0(xa, smndt0(xb)), sdtasdt0(xp, xq)]), sdtasdt0(sdtasdt0(xp, xq), 261 ^ [sdtpldt0(xa, smndt0(xb)), sdtasdt0(xp, xq)]) = sdtpldt0(xa, smndt0(xb))],extension(393 ^ 15,bind([[_85386], [261 ^ [sdtpldt0(xa, smndt0(xb)), sdtasdt0(xp, xq)]]]))).
% 31.91/31.46 ncf('1.3.1.1.1.1.1',plain,[-(sdtasdt0(sdtasdt0(xp, xq), 261 ^ [sdtpldt0(xa, smndt0(xb)), sdtasdt0(xp, xq)]) = sdtpldt0(xa, smndt0(xb)))],extension(265 ^ 16)).
% 31.91/31.46 ncf('1.3.1.1.1.2',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb)))), aInteger0(xa), aInteger0(smndt0(xb))],extension(108 ^ 11,bind([[_76618, _76620], [smndt0(xb), xa]]))).
% 31.91/31.46 ncf('1.3.1.1.1.2.1',plain,[-(aInteger0(xa))],extension(379 ^ 12)).
% 31.91/31.46 ncf('1.3.1.1.1.2.2',plain,[-(aInteger0(smndt0(xb))), aInteger0(xb)],extension(102 ^ 12,bind([[_76414], [xb]]))).
% 31.91/31.46 ncf('1.3.1.1.1.2.2.1',plain,[-(aInteger0(xb))],extension(381 ^ 13)).
% 31.91/31.46 ncf('1.3.1.1.2',plain,[-(aInteger0(xa))],extension(379 ^ 8)).
% 31.91/31.46 ncf('1.3.1.1.3',plain,[-(aInteger0(xb))],extension(381 ^ 8)).
% 31.91/31.46 ncf('1.3.1.1.4',plain,[-(aInteger0(sdtasdt0(xp, xq))), aInteger0(xp), aInteger0(xq)],extension(118 ^ 8,bind([[_76917, _76919], [xq, xp]]))).
% 31.91/31.46 ncf('1.3.1.1.4.1',plain,[-(aInteger0(xp))],extension(383 ^ 9)).
% 31.91/31.46 ncf('1.3.1.1.4.2',plain,[-(aInteger0(xq))],extension(387 ^ 9)).
% 31.91/31.46 ncf('1.3.1.1.5',plain,[sdtasdt0(xp, xq) = sz00],reduction('1')).
% 31.91/31.46 ncf('1.3.1.2',plain,[-(sdteqdtlpzmzozddtrp0(xa, xb, sdtasdt0(xp, xq)))],extension(391 ^ 7)).
% 31.91/31.46 ncf('1.3.1.3',plain,[-(aInteger0(xa))],extension(379 ^ 7)).
% 31.91/31.46 ncf('1.3.1.4',plain,[-(aInteger0(xa))],lemmata('[3, 1].x')).
% 31.91/31.46 ncf('1.3.1.5',plain,[-(aInteger0(sdtasdt0(xp, xq))), aInteger0(xp), aInteger0(xq)],extension(118 ^ 7,bind([[_76917, _76919], [xq, xp]]))).
% 31.91/31.46 ncf('1.3.1.5.1',plain,[-(aInteger0(xp))],extension(383 ^ 8)).
% 31.91/31.46 ncf('1.3.1.5.2',plain,[-(aInteger0(xq))],extension(387 ^ 8)).
% 31.91/31.46 ncf('1.3.1.6',plain,[sdtasdt0(xp, xq) = sz00],reduction('1')).
% 31.91/31.46 ncf('1.3.1.7',plain,[-(aInteger0(xb))],extension(381 ^ 7)).
% 31.91/31.46 ncf('1.3.2',plain,[-(aInteger0(xa))],extension(379 ^ 6)).
% 31.91/31.46 ncf('1.3.3',plain,[-(aInteger0(sdtasdt0(xp, xq))), aInteger0(xp), aInteger0(xq)],extension(118 ^ 6,bind([[_76917, _76919], [xq, xp]]))).
% 31.91/31.46 ncf('1.3.3.1',plain,[-(aInteger0(xp))],extension(383 ^ 7)).
% 31.91/31.46 ncf('1.3.3.2',plain,[-(aInteger0(xq))],extension(387 ^ 7)).
% 31.91/31.46 %-----------------------------------------------------
% 31.91/31.46 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------