TSTP Solution File: NUM845+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM845+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n024.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 0.43s 1.38s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM845+2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n024.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 17:27:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.43/1.38
% 0.43/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.43/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.38 %-----------------------------------------------------
% 0.43/1.38 ncf(matrix, plain, [(111 ^ _36149) ^ [] : [-(vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ []))], (113 ^ _36149) ^ [] : [vmul(vsucc(vd411), vsucc(109 ^ [])) = vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ []))], (2 ^ _36149) ^ [_36273] : [-(_36273 = _36273)], (4 ^ _36149) ^ [_36380, _36382] : [_36382 = _36380, -(_36380 = _36382)], (10 ^ _36149) ^ [_36584, _36586, _36588] : [-(_36588 = _36584), _36588 = _36586, _36586 = _36584], (20 ^ _36149) ^ [_36925, _36927, _36929, _36931] : [-(vplus(_36931, _36927) = vplus(_36929, _36925)), _36931 = _36929, _36927 = _36925], (40 ^ _36149) ^ [_37595, _37597] : [_37597 = _37595, -(vsucc(_37597) = vsucc(_37595))], (30 ^ _36149) ^ [_37284, _37286, _37288, _37290] : [-(vmul(_37290, _37286) = vmul(_37288, _37284)), _37290 = _37288, _37286 = _37284], (46 ^ _36149) ^ [_37809] : [vmul(vsucc(vd411), _37809) = vplus(vmul(vd411, _37809), _37809), -(vplus(vplus(vmul(vd411, _37809), vd411), vsucc(_37809)) = vplus(vmul(vd411, vsucc(_37809)), vsucc(_37809)))], (52 ^ _36149) ^ [_38059] : [vmul(vsucc(vd411), _38059) = vplus(vmul(vd411, _38059), _38059), -(vplus(vmul(vd411, _38059), vplus(vd411, vsucc(_38059))) = vplus(vplus(vmul(vd411, _38059), vd411), vsucc(_38059)))], (58 ^ _36149) ^ [_38311] : [vmul(vsucc(vd411), _38311) = vplus(vmul(vd411, _38311), _38311), -(vplus(vmul(vd411, _38311), vsucc(vplus(vd411, _38311))) = vplus(vmul(vd411, _38311), vplus(vd411, vsucc(_38311))))], (64 ^ _36149) ^ [_38563] : [vmul(vsucc(vd411), _38563) = vplus(vmul(vd411, _38563), _38563), -(vplus(vmul(vd411, _38563), vplus(vsucc(vd411), _38563)) = vplus(vmul(vd411, _38563), vsucc(vplus(vd411, _38563))))], (70 ^ _36149) ^ [_38811] : [vmul(vsucc(vd411), _38811) = vplus(vmul(vd411, _38811), _38811), -(vplus(vmul(vd411, _38811), vplus(_38811, vsucc(vd411))) = vplus(vmul(vd411, _38811), vplus(vsucc(vd411), _38811)))], (76 ^ _36149) ^ [_39055] : [vmul(vsucc(vd411), _39055) = vplus(vmul(vd411, _39055), _39055), -(vplus(vplus(vmul(vd411, _39055), _39055), vsucc(vd411)) = vplus(vmul(vd411, _39055), vplus(_39055, vsucc(vd411))))], (82 ^ _36149) ^ [_39299] : [vmul(vsucc(vd411), _39299) = vplus(vmul(vd411, _39299), _39299), -(vplus(vmul(vsucc(vd411), _39299), vsucc(vd411)) = vplus(vplus(vmul(vd411, _39299), _39299), vsucc(vd411)))], (94 ^ _36149) ^ [] : [-(vsucc(vmul(vd411, v1)) = vplus(vmul(vd411, v1), v1))], (96 ^ _36149) ^ [_39839, _39841] : [-(vmul(_39841, vsucc(_39839)) = vplus(vmul(_39841, _39839), _39841))], (98 ^ _36149) ^ [_39896, _39898] : [-(vmul(_39898, v1) = _39898)], (100 ^ _36149) ^ [_39995, _39997] : [-(vplus(_39995, _39997) = vplus(_39997, _39995))], (102 ^ _36149) ^ [_40081] : [-(vplus(v1, _40081) = vsucc(_40081))], (104 ^ _36149) ^ [_40192, _40194, _40196] : [-(vplus(vplus(_40196, _40194), _40192) = vplus(_40196, vplus(_40194, _40192)))], (106 ^ _36149) ^ [_40300, _40302] : [-(vplus(_40302, vsucc(_40300)) = vsucc(vplus(_40302, _40300)))], (108 ^ _36149) ^ [_40356, _40358] : [-(vplus(_40358, v1) = vsucc(_40358))], (88 ^ _36149) ^ [_39537] : [vmul(vsucc(vd411), _39537) = vplus(vmul(vd411, _39537), _39537), -(vmul(vsucc(vd411), vsucc(_39537)) = vplus(vmul(vsucc(vd411), _39537), vsucc(vd411)))]], input).
% 0.43/1.38 ncf('1',plain,[vmul(vsucc(vd411), vsucc(109 ^ [])) = vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ []))],start(113 ^ 0)).
% 0.43/1.38 ncf('1.1',plain,[-(vmul(vsucc(vd411), vsucc(109 ^ [])) = vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ []))), vmul(vsucc(vd411), vsucc(109 ^ [])) = vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ [])), vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ [])) = vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ []))],extension(10 ^ 1,bind([[_36584, _36586, _36588], [vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ [])), vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ [])), vmul(vsucc(vd411), vsucc(109 ^ []))]]))).
% 0.43/1.38 ncf('1.1.1',plain,[-(vmul(vsucc(vd411), vsucc(109 ^ [])) = vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ []))), vmul(vsucc(vd411), vsucc(109 ^ [])) = vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411)), vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411)) = vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ []))],extension(10 ^ 2,bind([[_36584, _36586, _36588], [vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ [])), vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411)), vmul(vsucc(vd411), vsucc(109 ^ []))]]))).
% 0.43/1.38 ncf('1.1.1.1',plain,[-(vmul(vsucc(vd411), vsucc(109 ^ [])) = vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411))), vmul(vsucc(vd411), vsucc(109 ^ [])) = vplus(vmul(vsucc(vd411), 109 ^ []), vsucc(vd411)), vplus(vmul(vsucc(vd411), 109 ^ []), vsucc(vd411)) = vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411))],extension(10 ^ 3,bind([[_36584, _36586, _36588], [vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411)), vplus(vmul(vsucc(vd411), 109 ^ []), vsucc(vd411)), vmul(vsucc(vd411), vsucc(109 ^ []))]]))).
% 0.43/1.38 ncf('1.1.1.1.1',plain,[-(vmul(vsucc(vd411), vsucc(109 ^ [])) = vplus(vmul(vsucc(vd411), 109 ^ []), vsucc(vd411)))],extension(96 ^ 4,bind([[_39839, _39841], [109 ^ [], vsucc(vd411)]]))).
% 0.43/1.38 ncf('1.1.1.1.2',plain,[-(vplus(vmul(vsucc(vd411), 109 ^ []), vsucc(vd411)) = vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411))), vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ [])],extension(82 ^ 4,bind([[_39299], [109 ^ []]]))).
% 0.43/1.38 ncf('1.1.1.1.2.1',plain,[-(vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ []))],extension(111 ^ 5)).
% 0.43/1.38 ncf('1.1.1.2',plain,[-(vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411)) = vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ []))), vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411)) = vplus(vmul(vd411, 109 ^ []), vplus(109 ^ [], vsucc(vd411))), vplus(vmul(vd411, 109 ^ []), vplus(109 ^ [], vsucc(vd411))) = vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ []))],extension(10 ^ 3,bind([[_36584, _36586, _36588], [vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ [])), vplus(vmul(vd411, 109 ^ []), vplus(109 ^ [], vsucc(vd411))), vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411))]]))).
% 0.43/1.38 ncf('1.1.1.2.1',plain,[-(vplus(vplus(vmul(vd411, 109 ^ []), 109 ^ []), vsucc(vd411)) = vplus(vmul(vd411, 109 ^ []), vplus(109 ^ [], vsucc(vd411)))), vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ [])],extension(76 ^ 4,bind([[_39055], [109 ^ []]]))).
% 0.43/1.38 ncf('1.1.1.2.1.1',plain,[-(vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ []))],extension(111 ^ 5)).
% 0.43/1.38 ncf('1.1.1.2.2',plain,[-(vplus(vmul(vd411, 109 ^ []), vplus(109 ^ [], vsucc(vd411))) = vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ []))), vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ [])],extension(70 ^ 4,bind([[_38811], [109 ^ []]]))).
% 0.43/1.38 ncf('1.1.1.2.2.1',plain,[-(vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ []))],extension(111 ^ 5)).
% 0.43/1.38 ncf('1.1.2',plain,[-(vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ [])) = vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ []))), vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ [])) = vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ []))), vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ []))) = vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ []))],extension(10 ^ 2,bind([[_36584, _36586, _36588], [vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ [])), vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ []))), vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ []))]]))).
% 0.43/1.38 ncf('1.1.2.1',plain,[-(vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ [])) = vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ [])))), vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ [])) = vplus(vmul(vd411, 109 ^ []), vsucc(vplus(vd411, 109 ^ []))), vplus(vmul(vd411, 109 ^ []), vsucc(vplus(vd411, 109 ^ []))) = vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ [])))],extension(10 ^ 3,bind([[_36584, _36586, _36588], [vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ []))), vplus(vmul(vd411, 109 ^ []), vsucc(vplus(vd411, 109 ^ []))), vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ []))]]))).
% 0.43/1.38 ncf('1.1.2.1.1',plain,[-(vplus(vmul(vd411, 109 ^ []), vplus(vsucc(vd411), 109 ^ [])) = vplus(vmul(vd411, 109 ^ []), vsucc(vplus(vd411, 109 ^ [])))), vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ [])],extension(64 ^ 4,bind([[_38563], [109 ^ []]]))).
% 0.43/1.38 ncf('1.1.2.1.1.1',plain,[-(vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ []))],extension(111 ^ 5)).
% 0.43/1.38 ncf('1.1.2.1.2',plain,[-(vplus(vmul(vd411, 109 ^ []), vsucc(vplus(vd411, 109 ^ []))) = vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ [])))), vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ [])],extension(58 ^ 4,bind([[_38311], [109 ^ []]]))).
% 0.43/1.38 ncf('1.1.2.1.2.1',plain,[-(vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ []))],extension(111 ^ 5)).
% 0.43/1.38 ncf('1.1.2.2',plain,[-(vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ []))) = vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ []))), vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ []))) = vplus(vplus(vmul(vd411, 109 ^ []), vd411), vsucc(109 ^ [])), vplus(vplus(vmul(vd411, 109 ^ []), vd411), vsucc(109 ^ [])) = vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ []))],extension(10 ^ 3,bind([[_36584, _36586, _36588], [vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ [])), vplus(vplus(vmul(vd411, 109 ^ []), vd411), vsucc(109 ^ [])), vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ [])))]]))).
% 0.43/1.38 ncf('1.1.2.2.1',plain,[-(vplus(vmul(vd411, 109 ^ []), vplus(vd411, vsucc(109 ^ []))) = vplus(vplus(vmul(vd411, 109 ^ []), vd411), vsucc(109 ^ []))), vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ [])],extension(52 ^ 4,bind([[_38059], [109 ^ []]]))).
% 0.43/1.38 ncf('1.1.2.2.1.1',plain,[-(vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ []))],extension(111 ^ 5)).
% 0.43/1.38 ncf('1.1.2.2.2',plain,[-(vplus(vplus(vmul(vd411, 109 ^ []), vd411), vsucc(109 ^ [])) = vplus(vmul(vd411, vsucc(109 ^ [])), vsucc(109 ^ []))), vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ [])],extension(46 ^ 4,bind([[_37809], [109 ^ []]]))).
% 0.43/1.38 ncf('1.1.2.2.2.1',plain,[-(vmul(vsucc(vd411), 109 ^ []) = vplus(vmul(vd411, 109 ^ []), 109 ^ []))],extension(111 ^ 5)).
% 0.43/1.38 %-----------------------------------------------------
% 0.43/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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