TSTP Solution File: NUM851+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM851+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 11:45:47 EDT 2023
% Result : Theorem 0.51s 1.39s
% Output : Proof 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM851+2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 17:16:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.51/1.39
% 0.51/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.51/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/1.39 %-----------------------------------------------------
% 0.51/1.39 ncf(matrix, plain, [(217 ^ _47108) ^ [] : [vmul(vplus(vd471, vd473), vd469) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))], (108 ^ _47108) ^ [] : [-(vmul(vd470, vd469) = vmul(vplus(vd471, vd473), vd469))], (110 ^ _47108) ^ [] : [-(vd470 = vplus(vd471, vd473))], (112 ^ _47108) ^ [] : [-(greater(vd470, vd471))], (114 ^ _47108) ^ [_50950, _50952, _50954] : [-(vmul(vmul(_50954, _50952), _50950) = vmul(_50954, vmul(_50952, _50950)))], (116 ^ _47108) ^ [_51072, _51074, _51076] : [-(vmul(_51076, vplus(_51074, _51072)) = vplus(vmul(_51076, _51074), vmul(_51076, _51072)))], (118 ^ _47108) ^ [_51183, _51185] : [-(vmul(_51185, _51183) = vmul(_51183, _51185))], (120 ^ _47108) ^ [_51283, _51285] : [-(vmul(vsucc(_51285), _51283) = vplus(vmul(_51285, _51283), _51283))], (122 ^ _47108) ^ [_51374] : [-(vmul(v1, _51374) = _51374)], (124 ^ _47108) ^ [_51489, _51491] : [-(vmul(_51491, vsucc(_51489)) = vplus(vmul(_51491, _51489), _51491))], (126 ^ _47108) ^ [_51546, _51548] : [-(vmul(_51548, v1) = _51548)], (128 ^ _47108) ^ [_51660, _51662] : [less(_51662, vplus(_51660, v1)), -(leq(_51662, _51660))], (134 ^ _47108) ^ [_51876, _51878] : [greater(_51878, _51876), -(geq(_51878, vplus(_51876, v1)))], (140 ^ _47108) ^ [_52121, _52123] : [greater(_52121, _52123), -(_52121 = vplus(_52123, 143 ^ [_52121, _52123]))], (147 ^ _47108) ^ [_52349, _52351] : [148 ^ _47108 : [(149 ^ _47108) ^ [_52422] : [_52349 = vplus(_52351, _52422)]], -(greater(_52349, _52351))], (153 ^ _47108) ^ [_52589, _52591] : [-(_52591 = _52589), -(_52591 = vplus(_52589, 158 ^ [_52589, _52591])), -(_52589 = vplus(_52591, 161 ^ [_52589, _52591]))], (165 ^ _47108) ^ [_53022, _53024] : [_53024 = _53022, 168 ^ _47108 : [(169 ^ _47108) ^ [_53144] : [_53022 = vplus(_53024, _53144)]]], (171 ^ _47108) ^ [_53263, _53265] : [172 ^ _47108 : [(173 ^ _47108) ^ [_53348] : [_53265 = vplus(_53263, _53348)]], 174 ^ _47108 : [(175 ^ _47108) ^ [_53412] : [_53263 = vplus(_53265, _53412)]]], (177 ^ _47108) ^ [_53532, _53534] : [_53534 = _53532, 180 ^ _47108 : [(181 ^ _47108) ^ [_53654] : [_53534 = vplus(_53532, _53654)]]], (183 ^ _47108) ^ [_53773, _53775] : [-(_53775 = _53773), 186 ^ _47108 : [(187 ^ _47108) ^ [_53899] : [vplus(_53899, _53775) = vplus(_53899, _53773)]]], (189 ^ _47108) ^ [_54005, _54007] : [_54005 = vplus(_54007, _54005)], (191 ^ _47108) ^ [_54102, _54104] : [-(vplus(_54102, _54104) = vplus(_54104, _54102))], (193 ^ _47108) ^ [_54202, _54204] : [-(vplus(vsucc(_54204), _54202) = vsucc(vplus(_54204, _54202)))], (195 ^ _47108) ^ [_54292] : [-(vplus(v1, _54292) = vsucc(_54292))], (197 ^ _47108) ^ [_54403, _54405, _54407] : [-(vplus(vplus(_54407, _54405), _54403) = vplus(_54407, vplus(_54405, _54403)))], (199 ^ _47108) ^ [_54531, _54533] : [-(vplus(_54533, vsucc(_54531)) = vsucc(vplus(_54533, _54531)))], (201 ^ _47108) ^ [_54587, _54589] : [-(vplus(_54589, v1) = vsucc(_54589))], (203 ^ _47108) ^ [_54689] : [-(_54689 = v1), -(_54689 = vsucc(vskolem2(_54689)))], (209 ^ _47108) ^ [_54874] : [vsucc(_54874) = _54874], (211 ^ _47108) ^ [_54963, _54965] : [-(_54965 = _54963), vsucc(_54965) = vsucc(_54963)], (76 ^ _47108) ^ [_49644, _49646] : [_49646 = _49644, -(vskolem2(_49646) = vskolem2(_49644))], (82 ^ _47108) ^ [_49862, _49864] : [_49864 = _49862, -(vsucc(_49864) = vsucc(_49862))], (88 ^ _47108) ^ [_50108, _50110, _50112, _50114] : [-(vplus(_50114, _50110) = vplus(_50112, _50108)), _50114 = _50112, _50110 = _50108], (98 ^ _47108) ^ [_50447, _50449, _50451, _50453] : [-(vmul(_50453, _50449) = vmul(_50451, _50447)), _50453 = _50451, _50449 = _50447], (2 ^ _47108) ^ [_47252] : [-(_47252 = _47252)], (4 ^ _47108) ^ [_47359, _47361] : [_47361 = _47359, -(_47359 = _47361)], (10 ^ _47108) ^ [_47563, _47565, _47567] : [-(_47567 = _47563), _47567 = _47565, _47565 = _47563], (20 ^ _47108) ^ [_47904, _47906, _47908, _47910] : [-(less(_47908, _47904)), less(_47910, _47906), _47910 = _47908, _47906 = _47904], (34 ^ _47108) ^ [_48348, _48350, _48352, _48354] : [-(leq(_48352, _48348)), leq(_48354, _48350), _48354 = _48352, _48350 = _48348], (48 ^ _47108) ^ [_48792, _48794, _48796, _48798] : [-(geq(_48796, _48792)), geq(_48798, _48794), _48798 = _48796, _48794 = _48792], (62 ^ _47108) ^ [_49216, _49218, _49220, _49222] : [-(greater(_49220, _49216)), greater(_49222, _49218), _49222 = _49220, _49218 = _49216]], input).
% 0.51/1.39 ncf('1',plain,[vmul(vplus(vd471, vd473), vd469) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))],start(217 ^ 0)).
% 0.51/1.39 ncf('1.1',plain,[-(vmul(vplus(vd471, vd473), vd469) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))), vmul(vplus(vd471, vd473), vd469) = vmul(vd469, vplus(vd471, vd473)), vmul(vd469, vplus(vd471, vd473)) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))],extension(10 ^ 1,bind([[_47563, _47565, _47567], [vplus(vmul(vd471, vd469), vmul(vd473, vd469)), vmul(vd469, vplus(vd471, vd473)), vmul(vplus(vd471, vd473), vd469)]]))).
% 0.51/1.39 ncf('1.1.1',plain,[-(vmul(vplus(vd471, vd473), vd469) = vmul(vd469, vplus(vd471, vd473)))],extension(118 ^ 2,bind([[_51183, _51185], [vd469, vplus(vd471, vd473)]]))).
% 0.51/1.39 ncf('1.1.2',plain,[-(vmul(vd469, vplus(vd471, vd473)) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))), vmul(vd469, vplus(vd471, vd473)) = vplus(vmul(vd469, vd471), vmul(vd469, vd473)), vplus(vmul(vd469, vd471), vmul(vd469, vd473)) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))],extension(10 ^ 2,bind([[_47563, _47565, _47567], [vplus(vmul(vd471, vd469), vmul(vd473, vd469)), vplus(vmul(vd469, vd471), vmul(vd469, vd473)), vmul(vd469, vplus(vd471, vd473))]]))).
% 0.51/1.39 ncf('1.1.2.1',plain,[-(vmul(vd469, vplus(vd471, vd473)) = vplus(vmul(vd469, vd471), vmul(vd469, vd473)))],extension(116 ^ 3,bind([[_51072, _51074, _51076], [vd473, vd471, vd469]]))).
% 0.51/1.39 ncf('1.1.2.2',plain,[-(vplus(vmul(vd469, vd471), vmul(vd469, vd473)) = vplus(vmul(vd471, vd469), vmul(vd473, vd469))), vmul(vd469, vd471) = vmul(vd471, vd469), vmul(vd469, vd473) = vmul(vd473, vd469)],extension(88 ^ 3,bind([[_50108, _50110, _50112, _50114], [vmul(vd473, vd469), vmul(vd469, vd473), vmul(vd471, vd469), vmul(vd469, vd471)]]))).
% 0.51/1.39 ncf('1.1.2.2.1',plain,[-(vmul(vd469, vd471) = vmul(vd471, vd469))],extension(118 ^ 4,bind([[_51183, _51185], [vd471, vd469]]))).
% 0.51/1.39 ncf('1.1.2.2.2',plain,[-(vmul(vd469, vd473) = vmul(vd473, vd469))],extension(118 ^ 4,bind([[_51183, _51185], [vd473, vd469]]))).
% 0.51/1.39 %-----------------------------------------------------
% 0.51/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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