%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KLE150+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:25:29 EDT 2023

% Result   : Theorem 7.18s 7.57s
% Output   : Proof 7.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE150+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n028.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May 19 03:07:48 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 7.18/7.57  
% 7.18/7.57  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 7.18/7.57  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.18/7.57  %-----------------------------------------------------
% 7.18/7.57  ncf(matrix, plain, [(125 ^ _33876) ^ [] : [strong_iteration(multiplication(123 ^ [], zero)) = addition(one, multiplication(123 ^ [], zero))], (66 ^ _33876) ^ [_36203, _36205] : [-(addition(_36205, _36203) = addition(_36203, _36205))], (68 ^ _33876) ^ [_36317, _36319, _36321] : [-(addition(_36317, addition(_36319, _36321)) = addition(addition(_36317, _36319), _36321))], (70 ^ _33876) ^ [_36411] : [-(addition(_36411, zero) = _36411)], (72 ^ _33876) ^ [_36492] : [-(addition(_36492, _36492) = _36492)], (74 ^ _33876) ^ [_36601, _36603, _36605] : [-(multiplication(_36605, multiplication(_36603, _36601)) = multiplication(multiplication(_36605, _36603), _36601))], (76 ^ _33876) ^ [_36695] : [-(multiplication(_36695, one) = _36695)], (78 ^ _33876) ^ [_36776] : [-(multiplication(one, _36776) = _36776)], (80 ^ _33876) ^ [_36885, _36887, _36889] : [-(multiplication(_36889, addition(_36887, _36885)) = addition(multiplication(_36889, _36887), multiplication(_36889, _36885)))], (82 ^ _33876) ^ [_37010, _37012, _37014] : [-(multiplication(addition(_37014, _37012), _37010) = addition(multiplication(_37014, _37010), multiplication(_37012, _37010)))], (84 ^ _33876) ^ [_37107] : [-(multiplication(zero, _37107) = zero)], (86 ^ _33876) ^ [_37188] : [-(addition(one, multiplication(_37188, star(_37188))) = star(_37188))], (88 ^ _33876) ^ [_37276] : [-(addition(one, multiplication(star(_37276), _37276)) = star(_37276))], (90 ^ _33876) ^ [_37407, _37409, _37411] : [leq(addition(multiplication(_37411, _37407), _37409), _37407), -(leq(multiplication(star(_37411), _37409), _37407))], (96 ^ _33876) ^ [_37659, _37661, _37663] : [leq(addition(multiplication(_37659, _37663), _37661), _37659), -(leq(multiplication(_37661, star(_37663)), _37659))], (102 ^ _33876) ^ [_37868] : [-(strong_iteration(_37868) = addition(multiplication(_37868, strong_iteration(_37868)), one))], (104 ^ _33876) ^ [_37999, _38001, _38003] : [leq(_37999, addition(multiplication(_38003, _37999), _38001)), -(leq(_37999, multiplication(strong_iteration(_38003), _38001)))], (110 ^ _33876) ^ [_38208] : [-(strong_iteration(_38208) = addition(star(_38208), multiplication(strong_iteration(_38208), zero)))], (112 ^ _33876) ^ [_38336, _38338] : [leq(_38338, _38336), -(addition(_38338, _38336) = _38336)], (118 ^ _33876) ^ [_38504, _38506] : [addition(_38506, _38504) = _38504, -(leq(_38506, _38504))], (20 ^ _33876) ^ [_34652, _34654, _34656, _34658] : [-(leq(_34656, _34652)), leq(_34658, _34654), _34658 = _34656, _34654 = _34652], (2 ^ _33876) ^ [_34020] : [-(_34020 = _34020)], (4 ^ _33876) ^ [_34127, _34129] : [_34129 = _34127, -(_34127 = _34129)], (10 ^ _33876) ^ [_34331, _34333, _34335] : [-(_34335 = _34331), _34335 = _34333, _34333 = _34331], (34 ^ _33876) ^ [_35070, _35072] : [_35072 = _35070, -(star(_35072) = star(_35070))], (40 ^ _33876) ^ [_35288, _35290] : [_35290 = _35288, -(strong_iteration(_35290) = strong_iteration(_35288))], (46 ^ _33876) ^ [_35534, _35536, _35538, _35540] : [-(addition(_35540, _35536) = addition(_35538, _35534)), _35540 = _35538, _35536 = _35534], (56 ^ _33876) ^ [_35873, _35875, _35877, _35879] : [-(multiplication(_35879, _35875) = multiplication(_35877, _35873)), _35879 = _35877, _35875 = _35873]], input).
% 7.18/7.57  ncf('1',plain,[strong_iteration(multiplication(123 ^ [], zero)) = addition(one, multiplication(123 ^ [], zero))],start(125 ^ 0)).
% 7.18/7.57  ncf('1.1',plain,[-(strong_iteration(multiplication(123 ^ [], zero)) = addition(one, multiplication(123 ^ [], zero))), strong_iteration(multiplication(123 ^ [], zero)) = addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))), addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))) = addition(one, multiplication(123 ^ [], zero))],extension(10 ^ 1,bind([[_34331, _34333, _34335], [addition(one, multiplication(123 ^ [], zero)), addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))), strong_iteration(multiplication(123 ^ [], zero))]]))).
% 7.18/7.57  ncf('1.1.1',plain,[-(strong_iteration(multiplication(123 ^ [], zero)) = addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))))), addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))) = strong_iteration(multiplication(123 ^ [], zero))],extension(4 ^ 2,bind([[_34127, _34129], [strong_iteration(multiplication(123 ^ [], zero)), addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))))]]))).
% 7.18/7.57  ncf('1.1.1.1',plain,[-(addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))) = strong_iteration(multiplication(123 ^ [], zero))), addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))) = addition(multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))), one), addition(multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))), one) = strong_iteration(multiplication(123 ^ [], zero))],extension(10 ^ 3,bind([[_34331, _34333, _34335], [strong_iteration(multiplication(123 ^ [], zero)), addition(multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))), one), addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))))]]))).
% 7.18/7.57  ncf('1.1.1.1.1',plain,[-(addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))) = addition(multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))), one))],extension(66 ^ 4,bind([[_36203, _36205], [multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))), one]]))).
% 7.18/7.57  ncf('1.1.1.1.2',plain,[-(addition(multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))), one) = strong_iteration(multiplication(123 ^ [], zero))), strong_iteration(multiplication(123 ^ [], zero)) = addition(multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))), one)],extension(4 ^ 4,bind([[_34127, _34129], [addition(multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))), one), strong_iteration(multiplication(123 ^ [], zero))]]))).
% 7.18/7.57  ncf('1.1.1.1.2.1',plain,[-(strong_iteration(multiplication(123 ^ [], zero)) = addition(multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))), one))],extension(102 ^ 5,bind([[_37868], [multiplication(123 ^ [], zero)]]))).
% 7.18/7.57  ncf('1.1.2',plain,[-(addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))) = addition(one, multiplication(123 ^ [], zero))), addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))) = addition(addition(one, zero), multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero))))), addition(addition(one, zero), multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero))))) = addition(one, multiplication(123 ^ [], zero))],extension(10 ^ 2,bind([[_34331, _34333, _34335], [addition(one, multiplication(123 ^ [], zero)), addition(addition(one, zero), multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero))))), addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))))]]))).
% 7.18/7.57  ncf('1.1.2.1',plain,[-(addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))) = addition(addition(one, zero), multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero)))))), addition(addition(one, zero), multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero))))) = addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))))],extension(4 ^ 3,bind([[_34127, _34129], [addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))), addition(addition(one, zero), multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero)))))]]))).
% 7.18/7.57  ncf('1.1.2.1.1',plain,[-(addition(addition(one, zero), multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero))))) = addition(one, multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))))), addition(one, zero) = one, multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero)))) = multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero)))],extension(46 ^ 4,bind([[_35534, _35536, _35538, _35540], [multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))), multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero)))), one, addition(one, zero)]]))).
% 7.18/7.57  ncf('1.1.2.1.1.1',plain,[-(addition(one, zero) = one)],extension(70 ^ 5,bind([[_36411], [one]]))).
% 7.18/7.57  ncf('1.1.2.1.1.2',plain,[-(multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero)))) = multiplication(multiplication(123 ^ [], zero), strong_iteration(multiplication(123 ^ [], zero))))],extension(74 ^ 5,bind([[_36601, _36603, _36605], [strong_iteration(multiplication(123 ^ [], zero)), zero, 123 ^ []]]))).
% 7.18/7.57  ncf('1.1.2.2',plain,[-(addition(addition(one, zero), multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero))))) = addition(one, multiplication(123 ^ [], zero))), addition(one, zero) = one, multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero)))) = multiplication(123 ^ [], zero)],extension(46 ^ 3,bind([[_35534, _35536, _35538, _35540], [multiplication(123 ^ [], zero), multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero)))), one, addition(one, zero)]]))).
% 7.18/7.57  ncf('1.1.2.2.1',plain,[-(addition(one, zero) = one)],extension(70 ^ 4,bind([[_36411], [one]]))).
% 7.18/7.57  ncf('1.1.2.2.2',plain,[-(multiplication(123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero)))) = multiplication(123 ^ [], zero)), 123 ^ [] = 123 ^ [], multiplication(zero, strong_iteration(multiplication(123 ^ [], zero))) = zero],extension(56 ^ 4,bind([[_35873, _35875, _35877, _35879], [zero, multiplication(zero, strong_iteration(multiplication(123 ^ [], zero))), 123 ^ [], 123 ^ []]]))).
% 7.18/7.57  ncf('1.1.2.2.2.1',plain,[-(123 ^ [] = 123 ^ [])],extension(2 ^ 5,bind([[_34020], [123 ^ []]]))).
% 7.18/7.57  ncf('1.1.2.2.2.2',plain,[-(multiplication(zero, strong_iteration(multiplication(123 ^ [], zero))) = zero)],extension(84 ^ 5,bind([[_37107], [strong_iteration(multiplication(123 ^ [], zero))]]))).
% 7.18/7.57  %-----------------------------------------------------
% 7.18/7.57  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------