TSTP Solution File: SEU406+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU406+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 12:03:25 EDT 2023

% Result   : Theorem 43.57s 42.86s
% Output   : Proof 43.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU406+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n002.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 13:23:04 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 43.57/42.86  
% 43.57/42.86  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.57/42.86  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.57/42.86  %-----------------------------------------------------
% 43.57/42.86  ncf(matrix, plain, [(230 ^ _50414) ^ [] : [-(r2_hidden(224 ^ [], k2_xboole_0(225 ^ [], 226 ^ [])))], (228 ^ _50414) ^ [] : [-(r2_hidden(223 ^ [], k2_xboole_0(225 ^ [], 226 ^ [])))], (250 ^ _50414) ^ [] : [r2_hidden(223 ^ [], 226 ^ []), r2_hidden(224 ^ [], k4_xboole_0(225 ^ [], 226 ^ []))], (238 ^ _50414) ^ [] : [r2_hidden(223 ^ [], 226 ^ []), r2_hidden(224 ^ [], 226 ^ [])], (244 ^ _50414) ^ [] : [r2_hidden(223 ^ [], k4_xboole_0(225 ^ [], 226 ^ [])), r2_hidden(224 ^ [], 226 ^ [])], (232 ^ _50414) ^ [] : [r2_hidden(223 ^ [], k4_xboole_0(225 ^ [], 226 ^ [])), r2_hidden(224 ^ [], k4_xboole_0(225 ^ [], 226 ^ []))], !, (202 ^ _42599) ^ [_49253] : [v1_xboole_0(_49253), -(_49253 = k1_xboole_0)], (108 ^ _42599) ^ [_46303, _46305, _46307] : [-(_46303 = k2_xboole_0(_46307, _46305)), 112 ^ _42599 : [(117 ^ _42599) ^ [] : [r2_hidden(109 ^ [_46303, _46305, _46307], _46305)], (115 ^ _42599) ^ [] : [r2_hidden(109 ^ [_46303, _46305, _46307], _46307)], (113 ^ _42599) ^ [] : [-(r2_hidden(109 ^ [_46303, _46305, _46307], _46303))]], 118 ^ _42599 : [(119 ^ _42599) ^ [] : [-(r2_hidden(109 ^ [_46303, _46305, _46307], _46307)), -(r2_hidden(109 ^ [_46303, _46305, _46307], _46305))], (125 ^ _42599) ^ [] : [r2_hidden(109 ^ [_46303, _46305, _46307], _46303)]]], (186 ^ _42599) ^ [_48704, _48706] : [m1_subset_1(_48706, _48704), -(v1_xboole_0(_48704)), -(r2_hidden(_48706, _48704))], (129 ^ _42599) ^ [] : [true___, -(true___)], (164 ^ _42599) ^ [_47921, _47923] : [-(v1_xboole_0(_47923)), v1_xboole_0(k2_xboole_0(_47921, _47923))], (180 ^ _42599) ^ [_48494, _48496] : [r2_hidden(_48496, _48494), -(m1_subset_1(_48496, _48494))], (158 ^ _42599) ^ [_47705, _47707] : [-(v1_xboole_0(_47707)), v1_xboole_0(k2_xboole_0(_47707, _47705))], (170 ^ _42599) ^ [_48122, _48124] : [-(k2_xboole_0(_48124, _48124) = _48124)], (156 ^ _42599) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (196 ^ _42599) ^ [_48987, _48989] : [-(k2_xboole_0(_48989, k4_xboole_0(_48987, _48989)) = k2_xboole_0(_48989, _48987))], (176 ^ _42599) ^ [] : [v1_xboole_0(174 ^ [])], (178 ^ _42599) ^ [_48384] : [-(k2_xboole_0(_48384, k1_xboole_0) = _48384)], (198 ^ _42599) ^ [_49076] : [-(k4_xboole_0(_49076, k1_xboole_0) = _49076)], (147 ^ _42599) ^ [] : [true___, -(true___)], (154 ^ _42599) ^ [_47540] : [-(m1_subset_1(152 ^ [_47540], _47540))], (84 ^ _42599) ^ [_45420, _45422] : [-(k2_xboole_0(_45422, _45420) = k2_xboole_0(_45420, _45422))], (58 ^ _42599) ^ [_44548, _44550, _44552, _44554] : [-(k2_xboole_0(_44554, _44550) = k2_xboole_0(_44552, _44548)), _44554 = _44552, _44550 = _44548], (78 ^ _42599) ^ [_45224, _45226] : [r2_hidden(_45226, _45224), r2_hidden(_45224, _45226)], (86 ^ _42599) ^ [_45578, _45580, _45582] : [_45578 = k2_xboole_0(_45582, _45580), 89 ^ _42599 : [(90 ^ _42599) ^ [_45760] : [r2_hidden(_45760, _45578), -(r2_hidden(_45760, _45582)), -(r2_hidden(_45760, _45580))], (100 ^ _42599) ^ [_46038] : [101 ^ _42599 : [(104 ^ _42599) ^ [] : [r2_hidden(_46038, _45580)], (102 ^ _42599) ^ [] : [r2_hidden(_46038, _45582)]], -(r2_hidden(_46038, _45578))]]], (68 ^ _42599) ^ [_44887, _44889, _44891, _44893] : [-(k4_xboole_0(_44893, _44889) = k4_xboole_0(_44891, _44887)), _44893 = _44891, _44889 = _44887], (2 ^ _42599) ^ [_42723] : [-(_42723 = _42723)], (135 ^ _42599) ^ [] : [true___, -(true___)], (200 ^ _42599) ^ [_49157] : [-(k4_xboole_0(k1_xboole_0, _49157) = k1_xboole_0)], (173 ^ _42599) ^ [] : [-(v1_xboole_0(171 ^ []))], (214 ^ _42599) ^ [_49642, _49644] : [v1_xboole_0(_49644), -(_49644 = _49642), v1_xboole_0(_49642)], (4 ^ _42599) ^ [_42830, _42832] : [_42832 = _42830, -(_42830 = _42832)], (208 ^ _42599) ^ [_49455, _49457] : [r2_hidden(_49457, _49455), v1_xboole_0(_49455)], (20 ^ _42599) ^ [_43375, _43377, _43379, _43381] : [-(m1_subset_1(_43379, _43375)), m1_subset_1(_43381, _43377), _43381 = _43379, _43377 = _43375], (44 ^ _42599) ^ [_44094, _44096, _44098, _44100] : [-(r2_hidden(_44098, _44094)), r2_hidden(_44100, _44096), _44100 = _44098, _44096 = _44094], (141 ^ _42599) ^ [] : [true___, -(true___)], (34 ^ _42599) ^ [_43791, _43793] : [-(v1_xboole_0(_43791)), _43793 = _43791, v1_xboole_0(_43793)], (10 ^ _42599) ^ [_43034, _43036, _43038] : [-(_43038 = _43034), _43038 = _43036, _43036 = _43034]], input).
% 43.57/42.86  ncf('1',plain,[-(r2_hidden(223 ^ [], k2_xboole_0(225 ^ [], 226 ^ [])))],start(228 ^ 0)).
% 43.57/42.86  ncf('1.1',plain,[r2_hidden(223 ^ [], k2_xboole_0(225 ^ [], 226 ^ [])), 90 : -(r2_hidden(223 ^ [], 226 ^ [])), 90 : -(r2_hidden(223 ^ [], k4_xboole_0(225 ^ [], 226 ^ []))), 90 : k2_xboole_0(225 ^ [], 226 ^ []) = k2_xboole_0(226 ^ [], k4_xboole_0(225 ^ [], 226 ^ []))],extension(86 ^ 1,bind([[_45578, _45580, _45582, _45760], [k2_xboole_0(225 ^ [], 226 ^ []), k4_xboole_0(225 ^ [], 226 ^ []), 226 ^ [], 223 ^ []]]))).
% 43.57/42.86  ncf('1.1.1',plain,[r2_hidden(223 ^ [], 226 ^ []), r2_hidden(224 ^ [], k4_xboole_0(225 ^ [], 226 ^ []))],extension(250 ^ 4)).
% 43.57/42.86  ncf('1.1.1.1',plain,[-(r2_hidden(224 ^ [], k4_xboole_0(225 ^ [], 226 ^ []))), r2_hidden(224 ^ [], k2_xboole_0(225 ^ [], 226 ^ [])), -(r2_hidden(224 ^ [], 226 ^ []))],extension(90 ^ 5,bind([[_45760], [224 ^ []]]))).
% 43.57/42.86  ncf('1.1.1.1.1',plain,[-(r2_hidden(224 ^ [], k2_xboole_0(225 ^ [], 226 ^ [])))],extension(230 ^ 6)).
% 43.57/42.86  ncf('1.1.1.1.2',plain,[r2_hidden(224 ^ [], 226 ^ []), r2_hidden(223 ^ [], 226 ^ [])],extension(238 ^ 6)).
% 43.57/42.86  ncf('1.1.1.1.2.1',plain,[-(r2_hidden(223 ^ [], 226 ^ []))],reduction('1.1')).
% 43.57/42.86  ncf('1.1.2',plain,[r2_hidden(223 ^ [], k4_xboole_0(225 ^ [], 226 ^ [])), r2_hidden(224 ^ [], 226 ^ [])],extension(244 ^ 4)).
% 43.57/42.86  ncf('1.1.2.1',plain,[-(r2_hidden(224 ^ [], 226 ^ [])), r2_hidden(224 ^ [], k2_xboole_0(225 ^ [], 226 ^ [])), -(r2_hidden(224 ^ [], k4_xboole_0(225 ^ [], 226 ^ [])))],extension(90 ^ 5,bind([[_45760], [224 ^ []]]))).
% 43.57/42.86  ncf('1.1.2.1.1',plain,[-(r2_hidden(224 ^ [], k2_xboole_0(225 ^ [], 226 ^ [])))],extension(230 ^ 6)).
% 43.57/42.86  ncf('1.1.2.1.2',plain,[r2_hidden(224 ^ [], k4_xboole_0(225 ^ [], 226 ^ [])), r2_hidden(223 ^ [], k4_xboole_0(225 ^ [], 226 ^ []))],extension(232 ^ 6)).
% 43.57/42.86  ncf('1.1.2.1.2.1',plain,[-(r2_hidden(223 ^ [], k4_xboole_0(225 ^ [], 226 ^ [])))],reduction('1.1')).
% 43.57/42.86  ncf('1.1.3',plain,[-(k2_xboole_0(225 ^ [], 226 ^ []) = k2_xboole_0(226 ^ [], k4_xboole_0(225 ^ [], 226 ^ []))), k2_xboole_0(226 ^ [], k4_xboole_0(225 ^ [], 226 ^ [])) = k2_xboole_0(225 ^ [], 226 ^ [])],extension(4 ^ 2,bind([[_42830, _42832], [k2_xboole_0(225 ^ [], 226 ^ []), k2_xboole_0(226 ^ [], k4_xboole_0(225 ^ [], 226 ^ []))]]))).
% 43.57/42.86  ncf('1.1.3.1',plain,[-(k2_xboole_0(226 ^ [], k4_xboole_0(225 ^ [], 226 ^ [])) = k2_xboole_0(225 ^ [], 226 ^ [])), k2_xboole_0(226 ^ [], k4_xboole_0(225 ^ [], 226 ^ [])) = k2_xboole_0(226 ^ [], 225 ^ []), k2_xboole_0(226 ^ [], 225 ^ []) = k2_xboole_0(225 ^ [], 226 ^ [])],extension(10 ^ 3,bind([[_43034, _43036, _43038], [k2_xboole_0(225 ^ [], 226 ^ []), k2_xboole_0(226 ^ [], 225 ^ []), k2_xboole_0(226 ^ [], k4_xboole_0(225 ^ [], 226 ^ []))]]))).
% 43.57/42.86  ncf('1.1.3.1.1',plain,[-(k2_xboole_0(226 ^ [], k4_xboole_0(225 ^ [], 226 ^ [])) = k2_xboole_0(226 ^ [], 225 ^ []))],extension(196 ^ 4,bind([[_48987, _48989], [225 ^ [], 226 ^ []]]))).
% 43.57/42.86  ncf('1.1.3.1.2',plain,[-(k2_xboole_0(226 ^ [], 225 ^ []) = k2_xboole_0(225 ^ [], 226 ^ []))],extension(84 ^ 4,bind([[_45420, _45422], [225 ^ [], 226 ^ []]]))).
% 43.57/42.86  %-----------------------------------------------------
% 43.57/42.86  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------