TSTP Solution File: ALG224+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : ALG224+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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 10:08:17 EDT 2023

% Result   : Theorem 151.71s 147.34s
% Output   : Proof 151.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : ALG224+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n004.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 23:11:39 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 151.71/147.34  
% 151.71/147.34  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 151.71/147.34  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 151.71/147.34  %-----------------------------------------------------
% 151.71/147.34  ncf(matrix, plain, [(353 ^ _59827) ^ [] : [-(m1_pboole(351 ^ [], 350 ^ []))], (356 ^ _59827) ^ [] : [-(m1_subset_1(354 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))], (359 ^ _59827) ^ [] : [-(m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))], (362 ^ _59827) ^ [] : [-(m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))], (364 ^ _59827) ^ [] : [-(r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 357 ^ []))], (366 ^ _59827) ^ [] : [-(r2_closure3(350 ^ [], 351 ^ [], 357 ^ [], 360 ^ []))], (368 ^ _59827) ^ [] : [r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 360 ^ [])], (2 ^ _59827) ^ [_59940, _59942] : [r2_hidden(_59942, _59940), r2_hidden(_59940, _59942)], (8 ^ _59827) ^ [_60137] : [v1_xboole_0(_60137), -(v1_fraenkel(_60137))], (14 ^ _59827) ^ [_60323] : [v1_xboole_0(_60323), -(v1_finset_1(_60323))], (20 ^ _59827) ^ [_60509] : [v1_xboole_0(_60509), -(v1_funct_1(_60509))], (26 ^ _59827) ^ [_60695] : [v1_finset_1(_60695), 29 ^ _59827 : [(30 ^ _59827) ^ [_60827] : [m1_subset_1(_60827, k1_zfmisc_1(_60695)), -(v1_finset_1(_60827))]]], (36 ^ _59827) ^ [_61032] : [47 ^ _59827 : [(48 ^ _59827) ^ [] : [-(v1_relat_1(_61032))], (50 ^ _59827) ^ [] : [-(v1_funct_1(_61032))], (52 ^ _59827) ^ [] : [-(v2_funct_1(_61032))]], v1_relat_1(_61032), v1_xboole_0(_61032), v1_funct_1(_61032)], (54 ^ _59827) ^ [_61539, _61541] : [m1_pboole(_61539, _61541), 57 ^ _59827 : [(58 ^ _59827) ^ [_61731] : [m1_subset_1(_61731, k1_zfmisc_1(k1_closure2(_61541, _61539))), 61 ^ _59827 : [(62 ^ _59827) ^ [_61925] : [m1_subset_1(_61925, k1_zfmisc_1(k1_closure2(_61541, _61539))), 65 ^ _59827 : [(66 ^ _59827) ^ [] : [r2_closure3(_61541, _61539, _61731, _61925), 69 ^ _59827 : [(70 ^ _59827) ^ [_62227] : [r2_hidden(_62227, _61731), 74 ^ _59827 : [(75 ^ _59827) ^ [] : [-(r2_hidden(73 ^ [_61539, _61541, _61731, _61925, _62227], _61925))], (77 ^ _59827) ^ [] : [-(r1_tarski(73 ^ [_61539, _61541, _61731, _61925, _62227], _62227))]]]]], (79 ^ _59827) ^ [] : [-(r2_closure3(_61541, _61539, _61731, _61925)), 81 ^ _59827 : [(82 ^ _59827) ^ [] : [-(r2_hidden(80 ^ [_61539, _61541, _61731, _61925], _61731))], (84 ^ _59827) ^ [_62806] : [r2_hidden(_62806, _61925), r1_tarski(_62806, 80 ^ [_61539, _61541, _61731, _61925])]]]]]]]]], (92 ^ _59827) ^ [] : [true___, -(true___)], (98 ^ _59827) ^ [] : [true___, -(true___)], (104 ^ _59827) ^ [] : [true___, -(true___)], (110 ^ _59827) ^ [_63496, _63498] : [m1_pboole(_63496, _63498), 113 ^ _59827 : [(114 ^ _59827) ^ [] : [-(v1_relat_1(_63496))], (116 ^ _59827) ^ [] : [-(v1_funct_1(_63496))]]], (118 ^ _59827) ^ [] : [true___, -(true___)], (125 ^ _59827) ^ [_63906] : [-(m1_pboole(123 ^ [_63906], _63906))], (128 ^ _59827) ^ [_64028] : [-(m1_subset_1(126 ^ [_64028], _64028))], (130 ^ _59827) ^ [_64110] : [v1_xboole_0(k1_zfmisc_1(_64110))], (132 ^ _59827) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (134 ^ _59827) ^ [_64271, _64273] : [m1_pboole(_64271, _64273), 137 ^ _59827 : [(138 ^ _59827) ^ [] : [v1_xboole_0(k1_closure2(_64273, _64271))], (140 ^ _59827) ^ [] : [-(v1_fraenkel(k1_closure2(_64273, _64271)))], (142 ^ _59827) ^ [] : [-(v1_pralg_2(k1_closure2(_64273, _64271)))]]], (145 ^ _59827) ^ [] : [-(v1_xboole_0(143 ^ []))], (147 ^ _59827) ^ [] : [-(v1_relat_1(143 ^ []))], (149 ^ _59827) ^ [] : [-(v1_funct_1(143 ^ []))], (151 ^ _59827) ^ [] : [-(v2_funct_1(143 ^ []))], (153 ^ _59827) ^ [] : [-(v1_finset_1(143 ^ []))], (155 ^ _59827) ^ [] : [-(v1_fraenkel(143 ^ []))], (158 ^ _59827) ^ [] : [v1_xboole_0(156 ^ [])], (160 ^ _59827) ^ [] : [-(v1_finset_1(156 ^ []))], (163 ^ _59827) ^ [] : [-(v1_relat_1(161 ^ []))], (165 ^ _59827) ^ [] : [-(v1_funct_1(161 ^ []))], (167 ^ _59827) ^ [_65317] : [-(v1_xboole_0(_65317)), 171 ^ _59827 : [(172 ^ _59827) ^ [] : [-(m1_subset_1(170 ^ [_65317], k1_zfmisc_1(_65317)))], (174 ^ _59827) ^ [] : [v1_xboole_0(170 ^ [_65317])]]], (177 ^ _59827) ^ [] : [-(v1_xboole_0(175 ^ []))], (179 ^ _59827) ^ [_65752, _65754] : [m1_pboole(_65752, _65754), 183 ^ _59827 : [(184 ^ _59827) ^ [] : [-(m1_subset_1(182 ^ [_65752, _65754], k1_zfmisc_1(k1_closure2(_65754, _65752))))], (186 ^ _59827) ^ [] : [v1_xboole_0(182 ^ [_65752, _65754])], (188 ^ _59827) ^ [] : [-(v1_fraenkel(182 ^ [_65752, _65754]))], (190 ^ _59827) ^ [] : [-(v1_pralg_2(182 ^ [_65752, _65754]))]]], (193 ^ _59827) ^ [] : [-(v1_relat_1(191 ^ []))], (195 ^ _59827) ^ [] : [-(v1_xboole_0(191 ^ []))], (197 ^ _59827) ^ [] : [-(v1_funct_1(191 ^ []))], (200 ^ _59827) ^ [_66536] : [-(m1_subset_1(198 ^ [_66536], k1_zfmisc_1(_66536)))], (202 ^ _59827) ^ [_66587] : [-(v1_xboole_0(198 ^ [_66587]))], (205 ^ _59827) ^ [] : [v1_xboole_0(203 ^ [])], (207 ^ _59827) ^ [_66790, _66792] : [m1_pboole(_66790, _66792), 211 ^ _59827 : [(212 ^ _59827) ^ [] : [-(m1_subset_1(210 ^ [_66790, _66792], k1_zfmisc_1(k1_closure2(_66792, _66790))))], (214 ^ _59827) ^ [] : [-(v1_xboole_0(210 ^ [_66790, _66792]))], (216 ^ _59827) ^ [] : [-(v1_relat_1(210 ^ [_66790, _66792]))], (218 ^ _59827) ^ [] : [-(v1_funct_1(210 ^ [_66790, _66792]))], (220 ^ _59827) ^ [] : [-(v2_funct_1(210 ^ [_66790, _66792]))], (222 ^ _59827) ^ [] : [-(v1_finset_1(210 ^ [_66790, _66792]))], (224 ^ _59827) ^ [] : [-(v1_fraenkel(210 ^ [_66790, _66792]))]]], (226 ^ _59827) ^ [_67563] : [-(v1_xboole_0(_67563)), 230 ^ _59827 : [(231 ^ _59827) ^ [] : [-(m1_subset_1(229 ^ [_67563], k1_zfmisc_1(_67563)))], (233 ^ _59827) ^ [] : [v1_xboole_0(229 ^ [_67563])], (235 ^ _59827) ^ [] : [-(v1_finset_1(229 ^ [_67563]))]]], (238 ^ _59827) ^ [] : [-(v1_relat_1(236 ^ []))], (240 ^ _59827) ^ [] : [-(v1_funct_1(236 ^ []))], (242 ^ _59827) ^ [] : [-(v2_funct_1(236 ^ []))], (244 ^ _59827) ^ [_68184] : [-(v1_xboole_0(_68184)), 248 ^ _59827 : [(249 ^ _59827) ^ [] : [-(m1_subset_1(247 ^ [_68184], k1_zfmisc_1(_68184)))], (251 ^ _59827) ^ [] : [v1_xboole_0(247 ^ [_68184])], (253 ^ _59827) ^ [] : [-(v1_finset_1(247 ^ [_68184]))]]], (255 ^ _59827) ^ [_68595, _68597] : [-(r1_tarski(_68597, _68597))], (257 ^ _59827) ^ [_68732, _68734, _68736, _68738] : [-(r2_closure3(_68738, _68736, _68734, _68734)), m1_pboole(_68736, _68738), m1_subset_1(_68734, k1_zfmisc_1(k1_closure2(_68738, _68736))), m1_subset_1(_68732, k1_zfmisc_1(k1_closure2(_68738, _68736)))], (271 ^ _59827) ^ [_69172, _69174] : [r2_hidden(_69174, _69172), -(m1_subset_1(_69174, _69172))], (277 ^ _59827) ^ [_69396, _69398, _69400] : [-(r1_tarski(_69400, _69396)), r1_tarski(_69400, _69398), r1_tarski(_69398, _69396)], (287 ^ _59827) ^ [_69705, _69707] : [m1_subset_1(_69707, _69705), -(v1_xboole_0(_69705)), -(r2_hidden(_69707, _69705))], (297 ^ _59827) ^ [_70032, _70034] : [m1_subset_1(_70034, k1_zfmisc_1(_70032)), -(r1_tarski(_70034, _70032))], (303 ^ _59827) ^ [_70198, _70200] : [r1_tarski(_70200, _70198), -(m1_subset_1(_70200, k1_zfmisc_1(_70198)))], (309 ^ _59827) ^ [_70428, _70430, _70432] : [-(m1_subset_1(_70432, _70428)), r2_hidden(_70432, _70430), m1_subset_1(_70430, k1_zfmisc_1(_70428))], (319 ^ _59827) ^ [_70755, _70757, _70759] : [r2_hidden(_70759, _70757), m1_subset_1(_70757, k1_zfmisc_1(_70755)), v1_xboole_0(_70755)], (329 ^ _59827) ^ [_71051] : [v1_xboole_0(_71051), -(_71051 = k1_xboole_0)], (335 ^ _59827) ^ [_71253, _71255] : [r2_hidden(_71255, _71253), v1_xboole_0(_71253)], (341 ^ _59827) ^ [_71440, _71442] : [v1_xboole_0(_71442), -(_71442 = _71440), v1_xboole_0(_71440)]], input).
% 151.71/147.34  ncf('1',plain,[r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 360 ^ [])],start(368 ^ 0)).
% 151.71/147.34  ncf('1.1',plain,[-(r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 360 ^ [])), 84 : r2_hidden(73 ^ [351 ^ [], 350 ^ [], 357 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]], 360 ^ []), 84 : r1_tarski(73 ^ [351 ^ [], 350 ^ [], 357 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]), 79 : m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))), 62 : m1_subset_1(354 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))), 58 : m1_pboole(351 ^ [], 350 ^ [])],extension(54 ^ 1,bind([[_61539, _61541, _61731, _61925, _62806], [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 357 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]]]]))).
% 151.71/147.34  ncf('1.1.1',plain,[-(r2_hidden(73 ^ [351 ^ [], 350 ^ [], 357 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]], 360 ^ [])), 70 : r2_hidden(73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]], 357 ^ []), 70 : r2_closure3(350 ^ [], 351 ^ [], 357 ^ [], 360 ^ []), 66 : m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))), 62 : m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ [])))],extension(58 ^ 10,bind([[_61731, _61925, _62227], [357 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]]]))).
% 151.71/147.34  ncf('1.1.1.1',plain,[-(r2_hidden(73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]], 357 ^ [])), 70 : r2_hidden(80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []], 354 ^ []), 70 : r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 357 ^ []), 66 : m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))), 62 : m1_subset_1(354 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ [])))],extension(58 ^ 17,bind([[_61731, _61925, _62227], [354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]]))).
% 151.71/147.34  ncf('1.1.1.1.1',plain,[-(r2_hidden(80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []], 354 ^ [])), 79 : -(r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 360 ^ [])), 79 : m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ [])))],extension(62 ^ 24,bind([[_61925], [360 ^ []]]))).
% 151.71/147.34  ncf('1.1.1.1.1.1',plain,[r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 360 ^ [])],reduction('1')).
% 151.71/147.34  ncf('1.1.1.1.1.2',plain,[-(m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(362 ^ 25)).
% 151.71/147.34  ncf('1.1.1.1.2',plain,[-(r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 357 ^ []))],extension(364 ^ 22)).
% 151.71/147.34  ncf('1.1.1.1.3',plain,[-(m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(359 ^ 20)).
% 151.71/147.34  ncf('1.1.1.1.4',plain,[-(m1_subset_1(354 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(356 ^ 18)).
% 151.71/147.34  ncf('1.1.1.2',plain,[-(r2_closure3(350 ^ [], 351 ^ [], 357 ^ [], 360 ^ []))],extension(366 ^ 15)).
% 151.71/147.34  ncf('1.1.1.3',plain,[-(m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(362 ^ 13)).
% 151.71/147.34  ncf('1.1.1.4',plain,[-(m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(359 ^ 11)).
% 151.71/147.34  ncf('1.1.2',plain,[-(r1_tarski(73 ^ [351 ^ [], 350 ^ [], 357 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []])), r1_tarski(73 ^ [351 ^ [], 350 ^ [], 357 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]), r1_tarski(73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []])],extension(277 ^ 10,bind([[_69396, _69398, _69400], [80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]], 73 ^ [351 ^ [], 350 ^ [], 357 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]]]]))).
% 151.71/147.34  ncf('1.1.2.1',plain,[-(r1_tarski(73 ^ [351 ^ [], 350 ^ [], 357 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]])), 70 : r2_hidden(73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]], 357 ^ []), 70 : r2_closure3(350 ^ [], 351 ^ [], 357 ^ [], 360 ^ []), 66 : m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))), 62 : m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ [])))],extension(58 ^ 11,bind([[_61731, _61925, _62227], [357 ^ [], 360 ^ [], 73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]]]))).
% 151.71/147.34  ncf('1.1.2.1.1',plain,[-(r2_hidden(73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]], 357 ^ [])), 70 : r2_hidden(80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []], 354 ^ []), 70 : r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 357 ^ []), 66 : m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))), 62 : m1_subset_1(354 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ [])))],extension(58 ^ 18,bind([[_61731, _61925, _62227], [354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]]))).
% 151.71/147.34  ncf('1.1.2.1.1.1',plain,[-(r2_hidden(80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []], 354 ^ [])), 79 : -(r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 360 ^ [])), 79 : m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ [])))],extension(62 ^ 25,bind([[_61925], [360 ^ []]]))).
% 151.71/147.34  ncf('1.1.2.1.1.1.1',plain,[r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 360 ^ [])],reduction('1')).
% 151.71/147.34  ncf('1.1.2.1.1.1.2',plain,[-(m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(362 ^ 26)).
% 151.71/147.34  ncf('1.1.2.1.1.2',plain,[-(r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 357 ^ []))],extension(364 ^ 23)).
% 151.71/147.34  ncf('1.1.2.1.1.3',plain,[-(m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(359 ^ 21)).
% 151.71/147.34  ncf('1.1.2.1.1.4',plain,[-(m1_subset_1(354 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(356 ^ 19)).
% 151.71/147.34  ncf('1.1.2.1.2',plain,[-(r2_closure3(350 ^ [], 351 ^ [], 357 ^ [], 360 ^ []))],extension(366 ^ 16)).
% 151.71/147.34  ncf('1.1.2.1.3',plain,[-(m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(362 ^ 14)).
% 151.71/147.34  ncf('1.1.2.1.4',plain,[-(m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(359 ^ 12)).
% 151.71/147.34  ncf('1.1.2.2',plain,[-(r1_tarski(73 ^ [351 ^ [], 350 ^ [], 354 ^ [], 357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []])), 70 : r2_hidden(80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []], 354 ^ []), 70 : r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 357 ^ []), 66 : m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ [])))],extension(62 ^ 11,bind([[_61925, _62227], [357 ^ [], 80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []]]]))).
% 151.71/147.34  ncf('1.1.2.2.1',plain,[-(r2_hidden(80 ^ [351 ^ [], 350 ^ [], 354 ^ [], 360 ^ []], 354 ^ [])), 79 : -(r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 360 ^ [])), 79 : m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ [])))],extension(62 ^ 16,bind([[_61925], [360 ^ []]]))).
% 151.71/147.34  ncf('1.1.2.2.1.1',plain,[r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 360 ^ [])],reduction('1')).
% 151.71/147.34  ncf('1.1.2.2.1.2',plain,[-(m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(362 ^ 17)).
% 151.71/147.34  ncf('1.1.2.2.2',plain,[-(r2_closure3(350 ^ [], 351 ^ [], 354 ^ [], 357 ^ []))],extension(364 ^ 14)).
% 151.71/147.34  ncf('1.1.2.2.3',plain,[-(m1_subset_1(357 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(359 ^ 12)).
% 151.71/147.34  ncf('1.1.3',plain,[-(m1_subset_1(360 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(362 ^ 6)).
% 151.71/147.34  ncf('1.1.4',plain,[-(m1_subset_1(354 ^ [], k1_zfmisc_1(k1_closure2(350 ^ [], 351 ^ []))))],extension(356 ^ 4)).
% 151.71/147.34  ncf('1.1.5',plain,[-(m1_pboole(351 ^ [], 350 ^ []))],extension(353 ^ 2)).
% 151.71/147.34  %-----------------------------------------------------
% 151.71/147.34  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------