TSTP Solution File: NUM846+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM846+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 11:45:46 EDT 2023

% Result   : Theorem 0.31s 1.38s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM846+2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n009.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 16:42:32 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.31/1.38  
% 0.31/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  ncf(matrix, plain, [(168 ^ _35996) ^ [] : [vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)], (108 ^ _35996) ^ [] : [-(vmul(vd436, vsucc(vplus(vd437, vd439))) = vplus(vmul(vd436, vplus(vd437, vd439)), vd436))], (110 ^ _35996) ^ [] : [-(vmul(vd436, vplus(vd437, vsucc(vd439))) = vmul(vd436, vsucc(vplus(vd437, vd439))))], (112 ^ _35996) ^ [] : [-(vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439)))], (114 ^ _35996) ^ [] : [-(vplus(vmul(vd436, vd437), vd436) = vplus(vmul(vd436, vd437), vmul(vd436, v1)))], (116 ^ _35996) ^ [] : [-(vmul(vd436, vsucc(vd437)) = vplus(vmul(vd436, vd437), vd436))], (118 ^ _35996) ^ [] : [-(vmul(vd436, vplus(vd437, v1)) = vmul(vd436, vsucc(vd437)))], (120 ^ _35996) ^ [_39983, _39985] : [-(vmul(_39985, _39983) = vmul(_39983, _39985))], (122 ^ _35996) ^ [_40069] : [-(vmul(v1, _40069) = _40069)], (124 ^ _35996) ^ [_40184, _40186] : [-(vmul(_40186, vsucc(_40184)) = vplus(vmul(_40186, _40184), _40186))], (126 ^ _35996) ^ [_40241, _40243] : [-(vmul(_40243, v1) = _40243)], (128 ^ _35996) ^ [_40355, _40357] : [less(_40357, vplus(_40355, v1)), -(leq(_40357, _40355))], (134 ^ _35996) ^ [_40571, _40573] : [greater(_40573, _40571), -(geq(_40573, vplus(_40571, v1)))], (140 ^ _35996) ^ [_40758] : [-(geq(_40758, v1))], (142 ^ _35996) ^ [_40850, _40852] : [-(vplus(_40850, _40852) = vplus(_40852, _40850))], (144 ^ _35996) ^ [_40950, _40952] : [-(vplus(vsucc(_40952), _40950) = vsucc(vplus(_40952, _40950)))], (146 ^ _35996) ^ [_41040] : [-(vplus(v1, _41040) = vsucc(_41040))], (148 ^ _35996) ^ [_41151, _41153, _41155] : [-(vplus(vplus(_41155, _41153), _41151) = vplus(_41155, vplus(_41153, _41151)))], (150 ^ _35996) ^ [_41279, _41281] : [-(vplus(_41281, vsucc(_41279)) = vsucc(vplus(_41281, _41279)))], (152 ^ _35996) ^ [_41335, _41337] : [-(vplus(_41337, v1) = vsucc(_41337))], (154 ^ _35996) ^ [_41437] : [-(_41437 = v1), -(_41437 = vsucc(vskolem2(_41437)))], (160 ^ _35996) ^ [_41622] : [vsucc(_41622) = _41622], (162 ^ _35996) ^ [_41711, _41713] : [-(_41713 = _41711), vsucc(_41713) = vsucc(_41711)], (76 ^ _35996) ^ [_38532, _38534] : [_38534 = _38532, -(vskolem2(_38534) = vskolem2(_38532))], (82 ^ _35996) ^ [_38750, _38752] : [_38752 = _38750, -(vsucc(_38752) = vsucc(_38750))], (88 ^ _35996) ^ [_38996, _38998, _39000, _39002] : [-(vplus(_39002, _38998) = vplus(_39000, _38996)), _39002 = _39000, _38998 = _38996], (98 ^ _35996) ^ [_39335, _39337, _39339, _39341] : [-(vmul(_39341, _39337) = vmul(_39339, _39335)), _39341 = _39339, _39337 = _39335], (2 ^ _35996) ^ [_36140] : [-(_36140 = _36140)], (4 ^ _35996) ^ [_36247, _36249] : [_36249 = _36247, -(_36247 = _36249)], (10 ^ _35996) ^ [_36451, _36453, _36455] : [-(_36455 = _36451), _36455 = _36453, _36453 = _36451], (20 ^ _35996) ^ [_36792, _36794, _36796, _36798] : [-(less(_36796, _36792)), less(_36798, _36794), _36798 = _36796, _36794 = _36792], (34 ^ _35996) ^ [_37236, _37238, _37240, _37242] : [-(leq(_37240, _37236)), leq(_37242, _37238), _37242 = _37240, _37238 = _37236], (48 ^ _35996) ^ [_37680, _37682, _37684, _37686] : [-(greater(_37684, _37680)), greater(_37686, _37682), _37686 = _37684, _37682 = _37680], (62 ^ _35996) ^ [_38104, _38106, _38108, _38110] : [-(geq(_38108, _38104)), geq(_38110, _38106), _38110 = _38108, _38106 = _38104]], input).
% 0.31/1.38  ncf('1',plain,[vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)],start(168 ^ 0)).
% 0.31/1.38  ncf('1.1',plain,[-(vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)), vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436 = vd436],extension(88 ^ 1,bind([[_38996, _38998, _39000, _39002], [vd436, vd436, vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vmul(vd436, vplus(vd437, vd439))]]))).
% 0.31/1.38  ncf('1.1.1',plain,[-(vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439)))],extension(112 ^ 2)).
% 0.31/1.38  ncf('1.1.2',plain,[-(vd436 = vd436)],extension(2 ^ 2,bind([[_36140], [vd436]]))).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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