TSTP Solution File: NUM844+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 11:45:45 EDT 2023
% Result : Theorem 0.35s 1.37s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n031.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 16:57:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.35/1.37
% 0.35/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 ncf(matrix, plain, [(166 ^ _35235) ^ [] : [vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411))) = vplus(vmul(vd411, vd413), vplus(vsucc(vd411), vd413))], (108 ^ _35235) ^ [] : [-(vplus(vplus(vmul(vd411, vd413), vd413), vsucc(vd411)) = vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411))))], (110 ^ _35235) ^ [] : [-(vplus(vmul(vsucc(vd411), vd413), vsucc(vd411)) = vplus(vplus(vmul(vd411, vd413), vd413), vsucc(vd411)))], (112 ^ _35235) ^ [] : [-(vmul(vsucc(vd411), vsucc(vd413)) = vplus(vmul(vsucc(vd411), vd413), vsucc(vd411)))], (114 ^ _35235) ^ [] : [-(vmul(vsucc(vd411), vd413) = vplus(vmul(vd411, vd413), vd413))], (116 ^ _35235) ^ [] : [-(vsucc(vmul(vd411, v1)) = vplus(vmul(vd411, v1), v1))], (118 ^ _35235) ^ [] : [-(vsucc(vd411) = vsucc(vmul(vd411, v1)))], (120 ^ _35235) ^ [] : [-(vmul(vsucc(vd411), v1) = vsucc(vd411))], (122 ^ _35235) ^ [_39261] : [-(vmul(v1, _39261) = _39261)], (124 ^ _35235) ^ [_39376, _39378] : [-(vmul(_39378, vsucc(_39376)) = vplus(vmul(_39378, _39376), _39378))], (126 ^ _35235) ^ [_39433, _39435] : [-(vmul(_39435, v1) = _39435)], (128 ^ _35235) ^ [_39547, _39549] : [less(_39549, vplus(_39547, v1)), -(leq(_39549, _39547))], (134 ^ _35235) ^ [_39763, _39765] : [greater(_39765, _39763), -(geq(_39765, vplus(_39763, v1)))], (140 ^ _35235) ^ [_39964, _39966] : [-(vplus(_39964, _39966) = vplus(_39966, _39964))], (142 ^ _35235) ^ [_40064, _40066] : [-(vplus(vsucc(_40066), _40064) = vsucc(vplus(_40066, _40064)))], (144 ^ _35235) ^ [_40154] : [-(vplus(v1, _40154) = vsucc(_40154))], (146 ^ _35235) ^ [_40265, _40267, _40269] : [-(vplus(vplus(_40269, _40267), _40265) = vplus(_40269, vplus(_40267, _40265)))], (148 ^ _35235) ^ [_40393, _40395] : [-(vplus(_40395, vsucc(_40393)) = vsucc(vplus(_40395, _40393)))], (150 ^ _35235) ^ [_40449, _40451] : [-(vplus(_40451, v1) = vsucc(_40451))], (152 ^ _35235) ^ [_40551] : [-(_40551 = v1), -(_40551 = vsucc(vskolem2(_40551)))], (158 ^ _35235) ^ [_40736] : [vsucc(_40736) = _40736], (160 ^ _35235) ^ [_40825, _40827] : [-(_40827 = _40825), vsucc(_40827) = vsucc(_40825)], (76 ^ _35235) ^ [_37771, _37773] : [_37773 = _37771, -(vskolem2(_37773) = vskolem2(_37771))], (82 ^ _35235) ^ [_38017, _38019, _38021, _38023] : [-(vmul(_38023, _38019) = vmul(_38021, _38017)), _38023 = _38021, _38019 = _38017], (102 ^ _35235) ^ [_38687, _38689] : [_38689 = _38687, -(vsucc(_38689) = vsucc(_38687))], (92 ^ _35235) ^ [_38376, _38378, _38380, _38382] : [-(vplus(_38382, _38378) = vplus(_38380, _38376)), _38382 = _38380, _38378 = _38376], (2 ^ _35235) ^ [_35379] : [-(_35379 = _35379)], (4 ^ _35235) ^ [_35486, _35488] : [_35488 = _35486, -(_35486 = _35488)], (10 ^ _35235) ^ [_35690, _35692, _35694] : [-(_35694 = _35690), _35694 = _35692, _35692 = _35690], (20 ^ _35235) ^ [_36031, _36033, _36035, _36037] : [-(less(_36035, _36031)), less(_36037, _36033), _36037 = _36035, _36033 = _36031], (34 ^ _35235) ^ [_36475, _36477, _36479, _36481] : [-(leq(_36479, _36475)), leq(_36481, _36477), _36481 = _36479, _36477 = _36475], (48 ^ _35235) ^ [_36919, _36921, _36923, _36925] : [-(greater(_36923, _36919)), greater(_36925, _36921), _36925 = _36923, _36921 = _36919], (62 ^ _35235) ^ [_37343, _37345, _37347, _37349] : [-(geq(_37347, _37343)), geq(_37349, _37345), _37349 = _37347, _37345 = _37343]], input).
% 0.35/1.37 ncf('1',plain,[vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411))) = vplus(vmul(vd411, vd413), vplus(vsucc(vd411), vd413))],start(166 ^ 0)).
% 0.35/1.37 ncf('1.1',plain,[-(vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411))) = vplus(vmul(vd411, vd413), vplus(vsucc(vd411), vd413))), vmul(vd411, vd413) = vmul(vd411, vd413), vplus(vd413, vsucc(vd411)) = vplus(vsucc(vd411), vd413)],extension(92 ^ 1,bind([[_38376, _38378, _38380, _38382], [vplus(vsucc(vd411), vd413), vplus(vd413, vsucc(vd411)), vmul(vd411, vd413), vmul(vd411, vd413)]]))).
% 0.35/1.37 ncf('1.1.1',plain,[-(vmul(vd411, vd413) = vmul(vd411, vd413))],extension(2 ^ 2,bind([[_35379], [vmul(vd411, vd413)]]))).
% 0.35/1.37 ncf('1.1.2',plain,[-(vplus(vd413, vsucc(vd411)) = vplus(vsucc(vd411), vd413))],extension(140 ^ 2,bind([[_39964, _39966], [vd413, vsucc(vd411)]]))).
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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