TSTP Solution File: NUM841+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 11:45:44 EDT 2023

% Result   : Theorem 0.81s 1.37s
% Output   : Proof 0.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n008.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 17:51:39 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.81/1.37  
% 0.81/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.81/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.37  %-----------------------------------------------------
% 0.81/1.37  ncf(matrix, plain, [(370 ^ _67721) ^ [] : [greater(vplus(vd344, vd347), vplus(vd345, vd348))], (76 ^ _67721) ^ [_70257, _70259] : [_70259 = _70257, -(vskolem2(_70259) = vskolem2(_70257))], (82 ^ _67721) ^ [_70475, _70477] : [_70477 = _70475, -(vsucc(_70477) = vsucc(_70475))], (88 ^ _67721) ^ [_70701, _70703, _70705, _70707] : [-(vplus(_70707, _70703) = vplus(_70705, _70701)), _70707 = _70705, _70703 = _70701], (2 ^ _67721) ^ [_67865] : [-(_67865 = _67865)], (4 ^ _67721) ^ [_67972, _67974] : [_67974 = _67972, -(_67972 = _67974)], (10 ^ _67721) ^ [_68176, _68178, _68180] : [-(_68180 = _68176), _68180 = _68178, _68178 = _68176], (20 ^ _67721) ^ [_68517, _68519, _68521, _68523] : [-(leq(_68521, _68517)), leq(_68523, _68519), _68523 = _68521, _68519 = _68517], (34 ^ _67721) ^ [_68961, _68963, _68965, _68967] : [-(geq(_68965, _68961)), geq(_68967, _68963), _68967 = _68965, _68963 = _68961], (48 ^ _67721) ^ [_69405, _69407, _69409, _69411] : [-(less(_69409, _69405)), less(_69411, _69407), _69411 = _69409, _69407 = _69405], (62 ^ _67721) ^ [_69829, _69831, _69833, _69835] : [-(greater(_69833, _69829)), greater(_69835, _69831), _69835 = _69833, _69831 = _69829], (98 ^ _67721) ^ [] : [-(vplus(vd348, vd345) = vplus(vd345, vd348))], (100 ^ _67721) ^ [] : [-(greater(vplus(vd347, vd345), vplus(vd348, vd345)))], (102 ^ _67721) ^ [] : [-(vplus(vd345, vd347) = vplus(vd347, vd345))], (104 ^ _67721) ^ [] : [-(greater(vplus(vd344, vd347), vplus(vd345, vd347)))], (106 ^ _67721) ^ [] : [-(greater(vd347, vd348))], (108 ^ _67721) ^ [] : [-(greater(vd344, vd345))], (110 ^ _67721) ^ [_71374, _71376, _71378] : [less(vplus(_71378, _71374), vplus(_71376, _71374)), -(less(_71378, _71376))], (116 ^ _67721) ^ [_71616, _71618, _71620] : [vplus(_71620, _71616) = vplus(_71618, _71616), -(_71620 = _71618)], (122 ^ _67721) ^ [_71858, _71860, _71862] : [greater(vplus(_71862, _71858), vplus(_71860, _71858)), -(greater(_71862, _71860))], (128 ^ _67721) ^ [_72100, _72102, _72104] : [less(_72104, _72102), -(less(vplus(_72104, _72100), vplus(_72102, _72100)))], (134 ^ _67721) ^ [_72342, _72344, _72346] : [_72346 = _72344, -(vplus(_72346, _72342) = vplus(_72344, _72342))], (140 ^ _67721) ^ [_72584, _72586, _72588] : [greater(_72588, _72586), -(greater(vplus(_72588, _72584), vplus(_72586, _72584)))], (146 ^ _67721) ^ [_72797, _72799] : [-(greater(vplus(_72799, _72797), _72799))], (148 ^ _67721) ^ [_72923, _72925, _72927] : [-(leq(_72927, _72923)), leq(_72925, _72923), leq(_72927, _72925)], (158 ^ _67721) ^ [_73246, _73248, _73250] : [-(less(_73250, _73246)), 159 ^ _67721 : [(160 ^ _67721) ^ [] : [less(_73248, _73246), leq(_73250, _73248)], (166 ^ _67721) ^ [] : [leq(_73248, _73246), less(_73250, _73248)]]], (174 ^ _67721) ^ [_73738, _73740, _73742] : [-(less(_73742, _73738)), less(_73740, _73738), less(_73742, _73740)], (184 ^ _67721) ^ [_74047, _74049] : [leq(_74049, _74047), -(geq(_74047, _74049))], (190 ^ _67721) ^ [_74257, _74259] : [geq(_74259, _74257), -(leq(_74257, _74259))], (206 ^ _67721) ^ [_74748, _74750] : [207 ^ _67721 : [(208 ^ _67721) ^ [] : [less(_74748, _74750)], (210 ^ _67721) ^ [] : [_74748 = _74750]], -(leq(_74748, _74750))], (196 ^ _67721) ^ [_74496, _74498] : [leq(_74496, _74498), -(less(_74496, _74498)), -(_74496 = _74498)], (224 ^ _67721) ^ [_75315, _75317] : [225 ^ _67721 : [(226 ^ _67721) ^ [] : [greater(_75315, _75317)], (228 ^ _67721) ^ [] : [_75315 = _75317]], -(geq(_75315, _75317))], (214 ^ _67721) ^ [_75063, _75065] : [geq(_75063, _75065), -(greater(_75063, _75065)), -(_75063 = _75065)], (232 ^ _67721) ^ [_75601, _75603] : [less(_75603, _75601), -(greater(_75601, _75603))], (238 ^ _67721) ^ [_75811, _75813] : [greater(_75813, _75811), -(less(_75811, _75813))], (244 ^ _67721) ^ [_76021, _76023] : [-(_76023 = _76021), -(greater(_76023, _76021)), -(less(_76023, _76021))], (254 ^ _67721) ^ [_76322, _76324] : [_76324 = _76322, less(_76324, _76322)], (260 ^ _67721) ^ [_76535, _76537] : [greater(_76537, _76535), less(_76537, _76535)], (266 ^ _67721) ^ [_76748, _76750] : [_76750 = _76748, greater(_76750, _76748)], (272 ^ _67721) ^ [_76990, _76992] : [less(_76990, _76992), -(_76992 = vplus(_76990, 275 ^ [_76990, _76992]))], (279 ^ _67721) ^ [_77218, _77220] : [280 ^ _67721 : [(281 ^ _67721) ^ [_77291] : [_77220 = vplus(_77218, _77291)]], -(less(_77218, _77220))], (285 ^ _67721) ^ [_77487, _77489] : [greater(_77487, _77489), -(_77487 = vplus(_77489, 288 ^ [_77487, _77489]))], (292 ^ _67721) ^ [_77715, _77717] : [293 ^ _67721 : [(294 ^ _67721) ^ [_77788] : [_77715 = vplus(_77717, _77788)]], -(greater(_77715, _77717))], (298 ^ _67721) ^ [_77955, _77957] : [-(_77957 = _77955), -(_77957 = vplus(_77955, 303 ^ [_77955, _77957])), -(_77955 = vplus(_77957, 306 ^ [_77955, _77957]))], (310 ^ _67721) ^ [_78388, _78390] : [_78390 = _78388, 313 ^ _67721 : [(314 ^ _67721) ^ [_78510] : [_78388 = vplus(_78390, _78510)]]], (316 ^ _67721) ^ [_78629, _78631] : [317 ^ _67721 : [(318 ^ _67721) ^ [_78714] : [_78631 = vplus(_78629, _78714)]], 319 ^ _67721 : [(320 ^ _67721) ^ [_78778] : [_78629 = vplus(_78631, _78778)]]], (322 ^ _67721) ^ [_78898, _78900] : [_78900 = _78898, 325 ^ _67721 : [(326 ^ _67721) ^ [_79020] : [_78900 = vplus(_78898, _79020)]]], (328 ^ _67721) ^ [_79139, _79141] : [-(_79141 = _79139), 331 ^ _67721 : [(332 ^ _67721) ^ [_79265] : [vplus(_79265, _79141) = vplus(_79265, _79139)]]], (334 ^ _67721) ^ [_79371, _79373] : [_79371 = vplus(_79373, _79371)], (336 ^ _67721) ^ [_79468, _79470] : [-(vplus(_79468, _79470) = vplus(_79470, _79468))], (338 ^ _67721) ^ [_79568, _79570] : [-(vplus(vsucc(_79570), _79568) = vsucc(vplus(_79570, _79568)))], (340 ^ _67721) ^ [_79658] : [-(vplus(v1, _79658) = vsucc(_79658))], (342 ^ _67721) ^ [_79769, _79771, _79773] : [-(vplus(vplus(_79773, _79771), _79769) = vplus(_79773, vplus(_79771, _79769)))], (344 ^ _67721) ^ [_79897, _79899] : [-(vplus(_79899, vsucc(_79897)) = vsucc(vplus(_79899, _79897)))], (346 ^ _67721) ^ [_79953, _79955] : [-(vplus(_79955, v1) = vsucc(_79955))], (348 ^ _67721) ^ [_80055] : [-(_80055 = v1), -(_80055 = vsucc(vskolem2(_80055)))], (354 ^ _67721) ^ [_80240] : [vsucc(_80240) = _80240], (356 ^ _67721) ^ [_80349, _80351] : [-(_80351 = _80349), vsucc(_80351) = vsucc(_80349)], (368 ^ _67721) ^ [_80739] : [vsucc(_80739) = v1], (362 ^ _67721) ^ [_80571, _80573] : [vsucc(_80573) = vsucc(_80571), -(_80573 = _80571)]], input).
% 0.81/1.37  ncf('1',plain,[greater(vplus(vd344, vd347), vplus(vd345, vd348))],start(370 ^ 0)).
% 0.81/1.37  ncf('1.1',plain,[-(greater(vplus(vd344, vd347), vplus(vd345, vd348))), less(vplus(vd345, vd348), vplus(vd344, vd347))],extension(232 ^ 1,bind([[_75601, _75603], [vplus(vd344, vd347), vplus(vd345, vd348)]]))).
% 0.81/1.37  ncf('1.1.1',plain,[-(less(vplus(vd345, vd348), vplus(vd344, vd347))), 166 : leq(vplus(vd345, vd347), vplus(vd344, vd347)), 166 : less(vplus(vd345, vd348), vplus(vd345, vd347))],extension(158 ^ 2,bind([[_73246, _73248, _73250], [vplus(vd344, vd347), vplus(vd345, vd347), vplus(vd345, vd348)]]))).
% 0.81/1.37  ncf('1.1.1.1',plain,[-(leq(vplus(vd345, vd347), vplus(vd344, vd347))), geq(vplus(vd344, vd347), vplus(vd345, vd347))],extension(190 ^ 5,bind([[_74257, _74259], [vplus(vd345, vd347), vplus(vd344, vd347)]]))).
% 0.81/1.37  ncf('1.1.1.1.1',plain,[-(geq(vplus(vd344, vd347), vplus(vd345, vd347))), 226 : greater(vplus(vd344, vd347), vplus(vd345, vd347))],extension(224 ^ 6,bind([[_75315, _75317], [vplus(vd344, vd347), vplus(vd345, vd347)]]))).
% 0.81/1.37  ncf('1.1.1.1.1.1',plain,[-(greater(vplus(vd344, vd347), vplus(vd345, vd347)))],extension(104 ^ 9)).
% 0.81/1.37  ncf('1.1.1.2',plain,[-(less(vplus(vd345, vd348), vplus(vd345, vd347))), less(vplus(vd348, vd345), vplus(vd347, vd345)), vplus(vd348, vd345) = vplus(vd345, vd348), vplus(vd347, vd345) = vplus(vd345, vd347)],extension(48 ^ 5,bind([[_69405, _69407, _69409, _69411], [vplus(vd345, vd347), vplus(vd347, vd345), vplus(vd345, vd348), vplus(vd348, vd345)]]))).
% 0.81/1.37  ncf('1.1.1.2.1',plain,[-(less(vplus(vd348, vd345), vplus(vd347, vd345))), greater(vplus(vd347, vd345), vplus(vd348, vd345))],extension(238 ^ 6,bind([[_75811, _75813], [vplus(vd348, vd345), vplus(vd347, vd345)]]))).
% 0.81/1.37  ncf('1.1.1.2.1.1',plain,[-(greater(vplus(vd347, vd345), vplus(vd348, vd345)))],extension(100 ^ 7)).
% 0.81/1.37  ncf('1.1.1.2.2',plain,[-(vplus(vd348, vd345) = vplus(vd345, vd348))],extension(98 ^ 6)).
% 0.81/1.37  ncf('1.1.1.2.3',plain,[-(vplus(vd347, vd345) = vplus(vd345, vd347)), vplus(vd345, vd347) = vplus(vd347, vd345)],extension(4 ^ 6,bind([[_67972, _67974], [vplus(vd347, vd345), vplus(vd345, vd347)]]))).
% 0.81/1.37  ncf('1.1.1.2.3.1',plain,[-(vplus(vd345, vd347) = vplus(vd347, vd345))],extension(102 ^ 7)).
% 0.81/1.37  %-----------------------------------------------------
% 0.81/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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