TSTP Solution File: LCL893+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LCL893+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n022.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 11:34:11 EDT 2023

% Result   : Theorem 43.55s 42.87s
% Output   : Proof 43.55s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL893+1 : TPTP v8.1.2. Released v5.5.0.
% 0.08/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 15:51:32 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 43.55/42.87  
% 43.55/42.87  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.55/42.87  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.55/42.87  %-----------------------------------------------------
% 43.55/42.87  ncf(matrix, plain, [(129 ^ _35428) ^ [] : [125 ^ [] = '0'], (127 ^ _35428) ^ [] : [-(h(125 ^ []) = 125 ^ [])], !, (68 ^ _30804) ^ [_33259] : [-(_33259 >= _33259)], (20 ^ _30804) ^ [_31560, _31562, _31564, _31566] : [-(_31564 >= _31560), _31566 >= _31562, _31566 = _31564, _31562 = _31560], (60 ^ _30804) ^ [_32903, _32905, _32907] : [-((_32907 + _32905 + _32903) = (_32907 + (_32905 + _32903)))], (44 ^ _30804) ^ [_32365, _32367, _32369, _32371] : [-(==>(_32371, _32367) = ==>(_32369, _32365)), _32371 = _32369, _32367 = _32365], (10 ^ _30804) ^ [_31239, _31241, _31243] : [-(_31243 = _31239), _31243 = _31241, _31241 = _31239], (122 ^ _30804) ^ [_35230, _35232] : [-((_35232 + ==>(_35232, _35230)) = (_35230 + ==>(_35230, _35232)))], (90 ^ _30804) ^ [_34031, _34033, _34035] : [_34035 + _34033 >= _34031, -(_34033 >= ==>(_34035, _34031))], (110 ^ _30804) ^ [_34775, _34777, _34779] : [_34779 >= _34777, -(==>(_34777, _34775) >= ==>(_34779, _34775))], (116 ^ _30804) ^ [_35017, _35019, _35021] : [_35021 >= _35019, -(==>(_35017, _35021) >= ==>(_35017, _35019))], (124 ^ _30804) ^ [_35302] : [-(h(_35302) = ==>(h(_35302), _35302))], (104 ^ _30804) ^ [_34533, _34535, _34537] : [_34537 >= _34535, -(_34537 + _34533 >= _34535 + _34533)], (34 ^ _30804) ^ [_32006, _32008, _32010, _32012] : [-((_32012 + _32008) = (_32010 + _32006)), _32012 = _32010, _32008 = _32006], (70 ^ _30804) ^ [_33380, _33382, _33384] : [-(_33384 >= _33380), _33384 >= _33382, _33382 >= _33380], (80 ^ _30804) ^ [_33689, _33691] : [-(_33691 = _33689), _33691 >= _33689, _33689 >= _33691], (64 ^ _30804) ^ [_33097] : [-((_33097 + '0') = _33097)], (66 ^ _30804) ^ [_33178] : [-((_33178 + '1') = '1')], (2 ^ _30804) ^ [_30928] : [-(_30928 = _30928)], (96 ^ _30804) ^ [_34211, _34213, _34215] : [_34213 >= ==>(_34215, _34211), -(_34215 + _34213 >= _34211)], (102 ^ _30804) ^ [_34412] : [-(_34412 >= '0')], (4 ^ _30804) ^ [_31035, _31037] : [_31037 = _31035, -(_31035 = _31037)], (54 ^ _30804) ^ [_32676, _32678] : [_32678 = _32676, -(h(_32678) = h(_32676))], (62 ^ _30804) ^ [_33011, _33013] : [-((_33013 + _33011) = (_33011 + _33013))]], input).
% 43.55/42.87  ncf('1',plain,[-(h(125 ^ []) = 125 ^ [])],start(127 ^ 0)).
% 43.55/42.87  ncf('1.1',plain,[h(125 ^ []) = 125 ^ [], -(==>(h(125 ^ []), 125 ^ []) = ==>(125 ^ [], 125 ^ [] + '0')), 125 ^ [] = (125 ^ [] + '0')],extension(44 ^ 1,bind([[_32365, _32367, _32369, _32371], [125 ^ [] + 0, 125 ^ [], 125 ^ [], h(125 ^ [])]]))).
% 43.55/42.87  ncf('1.1.1',plain,[==>(h(125 ^ []), 125 ^ []) = ==>(125 ^ [], 125 ^ [] + '0'), -(==>(125 ^ [], 125 ^ [] + '0') >= 125 ^ []), ==>(h(125 ^ []), 125 ^ []) >= ==>(h(125 ^ []), 125 ^ []), ==>(h(125 ^ []), 125 ^ []) = 125 ^ []],extension(20 ^ 2,bind([[_31560, _31562, _31564, _31566], [125 ^ [], ==>(h(125 ^ []), 125 ^ []), ==>(125 ^ [], 125 ^ [] + 0), ==>(h(125 ^ []), 125 ^ [])]]))).
% 43.55/42.87  ncf('1.1.1.1',plain,[==>(125 ^ [], 125 ^ [] + '0') >= 125 ^ [], -('0' >= 125 ^ []), '0' >= ==>(125 ^ [], 125 ^ [] + '0')],extension(70 ^ 3,bind([[_33380, _33382, _33384], [125 ^ [], ==>(125 ^ [], 125 ^ [] + 0), 0]]))).
% 43.55/42.87  ncf('1.1.1.1.1',plain,['0' >= 125 ^ [], -(125 ^ [] = '0'), 125 ^ [] >= '0'],extension(80 ^ 4,bind([[_33689, _33691], [0, 125 ^ []]]))).
% 43.55/42.87  ncf('1.1.1.1.1.1',plain,[125 ^ [] = '0'],extension(129 ^ 5)).
% 43.55/42.87  ncf('1.1.1.1.1.2',plain,[-(125 ^ [] >= '0')],extension(102 ^ 5,bind([[_34412], [125 ^ []]]))).
% 43.55/42.87  ncf('1.1.1.1.2',plain,[-('0' >= ==>(125 ^ [], 125 ^ [] + '0')), 125 ^ [] + '0' >= 125 ^ [] + '0'],extension(90 ^ 4,bind([[_34031, _34033, _34035], [125 ^ [] + 0, 0, 125 ^ []]]))).
% 43.55/42.87  ncf('1.1.1.1.2.1',plain,[-(125 ^ [] + '0' >= 125 ^ [] + '0')],extension(68 ^ 5,bind([[_33259], [125 ^ [] + 0]]))).
% 43.55/42.87  ncf('1.1.1.2',plain,[-(==>(h(125 ^ []), 125 ^ []) >= ==>(h(125 ^ []), 125 ^ []))],extension(68 ^ 3,bind([[_33259], [==>(h(125 ^ []), 125 ^ [])]]))).
% 43.55/42.87  ncf('1.1.1.3',plain,[-(==>(h(125 ^ []), 125 ^ []) = 125 ^ []), ==>(h(125 ^ []), 125 ^ []) >= 125 ^ [], 125 ^ [] >= ==>(h(125 ^ []), 125 ^ [])],extension(80 ^ 3,bind([[_33689, _33691], [125 ^ [], ==>(h(125 ^ []), 125 ^ [])]]))).
% 43.55/42.87  ncf('1.1.1.3.1',plain,[-(==>(h(125 ^ []), 125 ^ []) >= 125 ^ []), h(125 ^ []) >= h(125 ^ []), h(125 ^ []) = ==>(h(125 ^ []), 125 ^ []), h(125 ^ []) = 125 ^ []],extension(20 ^ 4,bind([[_31560, _31562, _31564, _31566], [125 ^ [], h(125 ^ []), ==>(h(125 ^ []), 125 ^ []), h(125 ^ [])]]))).
% 43.55/42.87  ncf('1.1.1.3.1.1',plain,[-(h(125 ^ []) >= h(125 ^ []))],extension(68 ^ 5,bind([[_33259], [h(125 ^ [])]]))).
% 43.55/42.87  ncf('1.1.1.3.1.2',plain,[-(h(125 ^ []) = ==>(h(125 ^ []), 125 ^ []))],extension(124 ^ 5,bind([[_35302], [125 ^ []]]))).
% 43.55/42.87  ncf('1.1.1.3.1.3',plain,[-(h(125 ^ []) = 125 ^ [])],reduction('1')).
% 43.55/42.87  ncf('1.1.1.3.2',plain,[-(125 ^ [] >= ==>(h(125 ^ []), 125 ^ [])), h(125 ^ []) >= h(125 ^ []), h(125 ^ []) = 125 ^ [], h(125 ^ []) = ==>(h(125 ^ []), 125 ^ [])],extension(20 ^ 4,bind([[_31560, _31562, _31564, _31566], [==>(h(125 ^ []), 125 ^ []), h(125 ^ []), 125 ^ [], h(125 ^ [])]]))).
% 43.55/42.87  ncf('1.1.1.3.2.1',plain,[-(h(125 ^ []) >= h(125 ^ []))],extension(68 ^ 5,bind([[_33259], [h(125 ^ [])]]))).
% 43.55/42.87  ncf('1.1.1.3.2.2',plain,[-(h(125 ^ []) = 125 ^ [])],reduction('1')).
% 43.55/42.87  ncf('1.1.1.3.2.3',plain,[-(h(125 ^ []) = ==>(h(125 ^ []), 125 ^ []))],extension(124 ^ 5,bind([[_35302], [125 ^ []]]))).
% 43.55/42.87  ncf('1.1.2',plain,[-(125 ^ [] = (125 ^ [] + '0')), (125 ^ [] + '0') = 125 ^ []],extension(4 ^ 2,bind([[_31035, _31037], [125 ^ [], 125 ^ [] + 0]]))).
% 43.55/42.87  ncf('1.1.2.1',plain,[-((125 ^ [] + '0') = 125 ^ []), (125 ^ [] + '0') = 125 ^ [], 125 ^ [] = 125 ^ []],extension(10 ^ 3,bind([[_31239, _31241, _31243], [125 ^ [], 125 ^ [], 125 ^ [] + 0]]))).
% 43.55/42.87  ncf('1.1.2.1.1',plain,[-((125 ^ [] + '0') = 125 ^ []), (125 ^ [] + '0') = 125 ^ [], 125 ^ [] = 125 ^ []],extension(10 ^ 4,bind([[_31239, _31241, _31243], [125 ^ [], 125 ^ [], 125 ^ [] + 0]]))).
% 43.55/42.87  ncf('1.1.2.1.1.1',plain,[-((125 ^ [] + '0') = 125 ^ [])],extension(64 ^ 5,bind([[_33097], [125 ^ []]]))).
% 43.55/42.87  ncf('1.1.2.1.1.2',plain,[-(125 ^ [] = 125 ^ [])],extension(2 ^ 5,bind([[_30928], [125 ^ []]]))).
% 43.55/42.87  ncf('1.1.2.1.2',plain,[-(125 ^ [] = 125 ^ []), 125 ^ [] >= 125 ^ [], 125 ^ [] >= 125 ^ []],extension(80 ^ 4,bind([[_33689, _33691], [125 ^ [], 125 ^ []]]))).
% 43.55/42.87  ncf('1.1.2.1.2.1',plain,[-(125 ^ [] >= 125 ^ [])],extension(68 ^ 5,bind([[_33259], [125 ^ []]]))).
% 43.55/42.87  ncf('1.1.2.1.2.2',plain,[-(125 ^ [] >= 125 ^ [])],lemmata('[1, 2, 1, 1].x')).
% 43.55/42.87  %-----------------------------------------------------
% 43.55/42.87  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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