%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 12:03:16 EDT 2023

% Result   : Theorem 0.31s 1.38s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n001.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 13:26:34 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.31/1.38  
% 0.31/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  ncf(matrix, plain, [(259 ^ _54681) ^ [] : [-(antisymmetric_relstr(257 ^ []))], (261 ^ _54681) ^ [] : [-(rel_str(257 ^ []))], (264 ^ _54681) ^ [] : [-(element(262 ^ [], the_carrier(257 ^ [])))], (267 ^ _54681) ^ [] : [268 ^ _54681 : [(269 ^ _54681) ^ [] : [-(262 ^ [] = join_on_relstr(257 ^ [], 265 ^ []))], (271 ^ _54681) ^ [] : [-(ex_sup_of_relstr_set(257 ^ [], 265 ^ []))], (273 ^ _54681) ^ [] : [relstr_set_smaller(257 ^ [], 265 ^ [], 262 ^ []), 277 ^ _54681 : [(278 ^ _54681) ^ [] : [-(element(276 ^ [], the_carrier(257 ^ [])))], (280 ^ _54681) ^ [] : [-(relstr_set_smaller(257 ^ [], 265 ^ [], 276 ^ []))], (282 ^ _54681) ^ [] : [related(257 ^ [], 262 ^ [], 276 ^ [])]]]], 283 ^ _54681 : [(296 ^ _54681) ^ [] : [262 ^ [] = join_on_relstr(257 ^ [], 265 ^ []), ex_sup_of_relstr_set(257 ^ [], 265 ^ [])], (284 ^ _54681) ^ [] : [-(relstr_set_smaller(257 ^ [], 265 ^ [], 262 ^ []))], (286 ^ _54681) ^ [_64303] : [element(_64303, the_carrier(257 ^ [])), relstr_set_smaller(257 ^ [], 265 ^ [], _64303), -(related(257 ^ [], 262 ^ [], _64303))]]], (130 ^ _54681) ^ [_58987] : [rel_str(_58987), 133 ^ _54681 : [(134 ^ _54681) ^ [_59182, _59184] : [element(_59182, the_carrier(_58987)), ex_sup_of_relstr_set(_58987, _59184), 141 ^ _54681 : [(158 ^ _54681) ^ [] : [-(_59182 = join_on_relstr(_58987, _59184)), relstr_set_smaller(_58987, _59184, _59182), 164 ^ _54681 : [(165 ^ _54681) ^ [] : [-(element(163 ^ [_58987, _59182, _59184], the_carrier(_58987)))], (167 ^ _54681) ^ [] : [-(relstr_set_smaller(_58987, _59184, 163 ^ [_58987, _59182, _59184]))], (169 ^ _54681) ^ [] : [related(_58987, _59182, 163 ^ [_58987, _59182, _59184])]]], (142 ^ _54681) ^ [] : [_59182 = join_on_relstr(_58987, _59184), 145 ^ _54681 : [(146 ^ _54681) ^ [] : [-(relstr_set_smaller(_58987, _59184, _59182))], (148 ^ _54681) ^ [_59628] : [element(_59628, the_carrier(_58987)), relstr_set_smaller(_58987, _59184, _59628), -(related(_58987, _59182, _59628))]]]]]]], (173 ^ _54681) ^ [_60447, _60449] : [rel_str(_60449), -(element(join_on_relstr(_60449, _60447), the_carrier(_60449)))], (179 ^ _54681) ^ [_60651] : [rel_str(_60651), -(one_sorted_str(_60651))], (185 ^ _54681) ^ [] : [true___, -(true___)], (191 ^ _54681) ^ [] : [true___, -(true___)], (197 ^ _54681) ^ [] : [true___, -(true___)], (204 ^ _54681) ^ [] : [-(rel_str(202 ^ []))], (207 ^ _54681) ^ [] : [-(one_sorted_str(205 ^ []))], (210 ^ _54681) ^ [_61396] : [-(element(208 ^ [_61396], _61396))], (212 ^ _54681) ^ [_61474] : [antisymmetric_relstr(_61474), rel_str(_61474), 219 ^ _54681 : [(220 ^ _54681) ^ [_61758] : [ex_sup_of_relstr_set(_61474, _61758), 224 ^ _54681 : [(225 ^ _54681) ^ [] : [-(element(223 ^ [_61474, _61758], the_carrier(_61474)))], (227 ^ _54681) ^ [] : [-(relstr_set_smaller(_61474, _61758, 223 ^ [_61474, _61758]))], (229 ^ _54681) ^ [_62157] : [element(_62157, the_carrier(_61474)), relstr_set_smaller(_61474, _61758, _62157), -(related(_61474, 223 ^ [_61474, _61758], _62157))]]], (239 ^ _54681) ^ [_62453] : [-(ex_sup_of_relstr_set(_61474, _62453)), 240 ^ _54681 : [(241 ^ _54681) ^ [_62577] : [element(_62577, the_carrier(_61474)), relstr_set_smaller(_61474, _62453, _62577), 249 ^ _54681 : [(250 ^ _54681) ^ [] : [-(element(248 ^ [_61474, _62453, _62577], the_carrier(_61474)))], (252 ^ _54681) ^ [] : [-(relstr_set_smaller(_61474, _62453, 248 ^ [_61474, _62453, _62577]))], (254 ^ _54681) ^ [] : [related(_61474, _62577, 248 ^ [_61474, _62453, _62577])]]]]]]], (114 ^ _54681) ^ [_58438, _58440] : [_58440 = _58438, -(the_carrier(_58440) = the_carrier(_58438))], (120 ^ _54681) ^ [_58664, _58666, _58668, _58670] : [-(join_on_relstr(_58670, _58666) = join_on_relstr(_58668, _58664)), _58670 = _58668, _58666 = _58664], (2 ^ _54681) ^ [_54825] : [-(_54825 = _54825)], (4 ^ _54681) ^ [_54932, _54934] : [_54934 = _54932, -(_54932 = _54934)], (10 ^ _54681) ^ [_55136, _55138, _55140] : [-(_55140 = _55136), _55140 = _55138, _55138 = _55136], (20 ^ _54681) ^ [_55449, _55451] : [-(one_sorted_str(_55449)), _55451 = _55449, one_sorted_str(_55451)], (30 ^ _54681) ^ [_55744, _55746] : [-(antisymmetric_relstr(_55744)), _55746 = _55744, antisymmetric_relstr(_55746)], (40 ^ _54681) ^ [_56039, _56041] : [-(rel_str(_56039)), _56041 = _56039, rel_str(_56041)], (50 ^ _54681) ^ [_56362, _56364, _56366, _56368] : [-(element(_56366, _56362)), element(_56368, _56364), _56368 = _56366, _56364 = _56362], (64 ^ _54681) ^ [_56834, _56836, _56838, _56840, _56842, _56844] : [-(relstr_set_smaller(_56842, _56838, _56834)), relstr_set_smaller(_56844, _56840, _56836), _56844 = _56842, _56840 = _56838, _56836 = _56834], (100 ^ _54681) ^ [_58004, _58006, _58008, _58010] : [-(ex_sup_of_relstr_set(_58008, _58004)), ex_sup_of_relstr_set(_58010, _58006), _58010 = _58008, _58006 = _58004], (82 ^ _54681) ^ [_57443, _57445, _57447, _57449, _57451, _57453] : [-(related(_57451, _57447, _57443)), related(_57453, _57449, _57445), _57453 = _57451, _57449 = _57447, _57445 = _57443]], input).
% 0.31/1.38  ncf('1',plain,[273 : relstr_set_smaller(257 ^ [], 265 ^ [], 262 ^ []), 282 : related(257 ^ [], 262 ^ [], 276 ^ []), 296 : 262 ^ [] = join_on_relstr(257 ^ [], 265 ^ []), 296 : ex_sup_of_relstr_set(257 ^ [], 265 ^ [])],start(267 ^ 0)).
% 0.31/1.38  ncf('1.1',plain,[-(relstr_set_smaller(257 ^ [], 265 ^ [], 262 ^ [])), 142 : 262 ^ [] = join_on_relstr(257 ^ [], 265 ^ []), 142 : element(262 ^ [], the_carrier(257 ^ [])), 142 : ex_sup_of_relstr_set(257 ^ [], 265 ^ []), 134 : rel_str(257 ^ [])],extension(130 ^ 3,bind([[_58987, _59182, _59184], [257 ^ [], 262 ^ [], 265 ^ []]]))).
% 0.31/1.38  ncf('1.1.1',plain,[-(262 ^ [] = join_on_relstr(257 ^ [], 265 ^ []))],extension(269 ^ 8)).
% 0.31/1.38  ncf('1.1.2',plain,[-(element(262 ^ [], the_carrier(257 ^ [])))],extension(264 ^ 6)).
% 0.31/1.38  ncf('1.1.3',plain,[-(ex_sup_of_relstr_set(257 ^ [], 265 ^ []))],extension(271 ^ 6)).
% 0.31/1.38  ncf('1.1.4',plain,[-(rel_str(257 ^ []))],extension(261 ^ 4)).
% 0.31/1.38  ncf('1.2',plain,[-(related(257 ^ [], 262 ^ [], 276 ^ [])), 148 : element(276 ^ [], the_carrier(257 ^ [])), 148 : relstr_set_smaller(257 ^ [], 265 ^ [], 276 ^ []), 148 : 262 ^ [] = join_on_relstr(257 ^ [], 265 ^ []), 142 : element(262 ^ [], the_carrier(257 ^ [])), 142 : ex_sup_of_relstr_set(257 ^ [], 265 ^ []), 134 : rel_str(257 ^ [])],extension(130 ^ 5,bind([[_58987, _59182, _59184, _59628], [257 ^ [], 262 ^ [], 265 ^ [], 276 ^ []]]))).
% 0.31/1.38  ncf('1.2.1',plain,[-(element(276 ^ [], the_carrier(257 ^ [])))],extension(278 ^ 12)).
% 0.31/1.38  ncf('1.2.2',plain,[-(relstr_set_smaller(257 ^ [], 265 ^ [], 276 ^ []))],extension(280 ^ 12)).
% 0.31/1.38  ncf('1.2.3',plain,[-(262 ^ [] = join_on_relstr(257 ^ [], 265 ^ []))],extension(269 ^ 10)).
% 0.31/1.38  ncf('1.2.4',plain,[-(element(262 ^ [], the_carrier(257 ^ [])))],extension(264 ^ 8)).
% 0.31/1.38  ncf('1.2.5',plain,[-(ex_sup_of_relstr_set(257 ^ [], 265 ^ []))],extension(271 ^ 8)).
% 0.31/1.38  ncf('1.2.6',plain,[-(rel_str(257 ^ []))],extension(261 ^ 6)).
% 0.31/1.38  ncf('1.3',plain,[-(262 ^ [] = join_on_relstr(257 ^ [], 265 ^ [])), 158 : relstr_set_smaller(257 ^ [], 265 ^ [], 262 ^ []), 165 : -(element(163 ^ [257 ^ [], 262 ^ [], 265 ^ []], the_carrier(257 ^ []))), 158 : element(262 ^ [], the_carrier(257 ^ [])), 158 : ex_sup_of_relstr_set(257 ^ [], 265 ^ []), 134 : rel_str(257 ^ [])],extension(130 ^ 3,bind([[_58987, _59182, _59184], [257 ^ [], 262 ^ [], 265 ^ []]]))).
% 0.31/1.38  ncf('1.3.1',plain,[-(relstr_set_smaller(257 ^ [], 265 ^ [], 262 ^ []))],extension(284 ^ 8)).
% 0.31/1.38  ncf('1.3.2',plain,[element(163 ^ [257 ^ [], 262 ^ [], 265 ^ []], the_carrier(257 ^ [])), relstr_set_smaller(257 ^ [], 265 ^ [], 163 ^ [257 ^ [], 262 ^ [], 265 ^ []]), -(related(257 ^ [], 262 ^ [], 163 ^ [257 ^ [], 262 ^ [], 265 ^ []]))],extension(286 ^ 10,bind([[_64303], [163 ^ [257 ^ [], 262 ^ [], 265 ^ []]]]))).
% 0.31/1.38  ncf('1.3.2.1',plain,[-(relstr_set_smaller(257 ^ [], 265 ^ [], 163 ^ [257 ^ [], 262 ^ [], 265 ^ []]))],extension(167 ^ 11)).
% 0.31/1.38  ncf('1.3.2.2',plain,[related(257 ^ [], 262 ^ [], 163 ^ [257 ^ [], 262 ^ [], 265 ^ []])],extension(169 ^ 11)).
% 0.31/1.38  ncf('1.3.3',plain,[-(element(262 ^ [], the_carrier(257 ^ [])))],extension(264 ^ 6)).
% 0.31/1.38  ncf('1.3.4',plain,[-(ex_sup_of_relstr_set(257 ^ [], 265 ^ [])), 241 : element(262 ^ [], the_carrier(257 ^ [])), 241 : relstr_set_smaller(257 ^ [], 265 ^ [], 262 ^ []), 250 : -(element(248 ^ [257 ^ [], 265 ^ [], 262 ^ []], the_carrier(257 ^ []))), 239 : antisymmetric_relstr(257 ^ []), 239 : rel_str(257 ^ [])],extension(212 ^ 6,bind([[_61474, _62453, _62577], [257 ^ [], 265 ^ [], 262 ^ []]]))).
% 0.31/1.38  ncf('1.3.4.1',plain,[-(element(262 ^ [], the_carrier(257 ^ [])))],extension(264 ^ 11)).
% 0.31/1.38  ncf('1.3.4.2',plain,[-(relstr_set_smaller(257 ^ [], 265 ^ [], 262 ^ []))],extension(284 ^ 11)).
% 0.31/1.38  ncf('1.3.4.3',plain,[element(248 ^ [257 ^ [], 265 ^ [], 262 ^ []], the_carrier(257 ^ [])), relstr_set_smaller(257 ^ [], 265 ^ [], 248 ^ [257 ^ [], 265 ^ [], 262 ^ []]), -(related(257 ^ [], 262 ^ [], 248 ^ [257 ^ [], 265 ^ [], 262 ^ []]))],extension(286 ^ 13,bind([[_64303], [248 ^ [257 ^ [], 265 ^ [], 262 ^ []]]]))).
% 0.31/1.38  ncf('1.3.4.3.1',plain,[-(relstr_set_smaller(257 ^ [], 265 ^ [], 248 ^ [257 ^ [], 265 ^ [], 262 ^ []]))],extension(252 ^ 14)).
% 0.31/1.38  ncf('1.3.4.3.2',plain,[related(257 ^ [], 262 ^ [], 248 ^ [257 ^ [], 265 ^ [], 262 ^ []])],extension(254 ^ 14)).
% 0.31/1.38  ncf('1.3.4.4',plain,[-(antisymmetric_relstr(257 ^ []))],extension(259 ^ 7)).
% 0.31/1.38  ncf('1.3.4.5',plain,[-(rel_str(257 ^ []))],extension(261 ^ 7)).
% 0.31/1.38  ncf('1.3.5',plain,[-(rel_str(257 ^ []))],extension(261 ^ 4)).
% 0.31/1.38  ncf('1.4',plain,[-(ex_sup_of_relstr_set(257 ^ [], 265 ^ [])), 241 : element(262 ^ [], the_carrier(257 ^ [])), 241 : relstr_set_smaller(257 ^ [], 265 ^ [], 262 ^ []), 250 : -(element(248 ^ [257 ^ [], 265 ^ [], 262 ^ []], the_carrier(257 ^ []))), 239 : antisymmetric_relstr(257 ^ []), 239 : rel_str(257 ^ [])],extension(212 ^ 3,bind([[_61474, _62453, _62577], [257 ^ [], 265 ^ [], 262 ^ []]]))).
% 0.31/1.38  ncf('1.4.1',plain,[-(element(262 ^ [], the_carrier(257 ^ [])))],extension(264 ^ 8)).
% 0.31/1.38  ncf('1.4.2',plain,[-(relstr_set_smaller(257 ^ [], 265 ^ [], 262 ^ []))],extension(284 ^ 8)).
% 0.31/1.38  ncf('1.4.3',plain,[element(248 ^ [257 ^ [], 265 ^ [], 262 ^ []], the_carrier(257 ^ [])), relstr_set_smaller(257 ^ [], 265 ^ [], 248 ^ [257 ^ [], 265 ^ [], 262 ^ []]), -(related(257 ^ [], 262 ^ [], 248 ^ [257 ^ [], 265 ^ [], 262 ^ []]))],extension(286 ^ 10,bind([[_64303], [248 ^ [257 ^ [], 265 ^ [], 262 ^ []]]]))).
% 0.31/1.38  ncf('1.4.3.1',plain,[-(relstr_set_smaller(257 ^ [], 265 ^ [], 248 ^ [257 ^ [], 265 ^ [], 262 ^ []]))],extension(252 ^ 11)).
% 0.31/1.38  ncf('1.4.3.2',plain,[related(257 ^ [], 262 ^ [], 248 ^ [257 ^ [], 265 ^ [], 262 ^ []])],extension(254 ^ 11)).
% 0.31/1.38  ncf('1.4.4',plain,[-(antisymmetric_relstr(257 ^ []))],extension(259 ^ 4)).
% 0.31/1.38  ncf('1.4.5',plain,[-(rel_str(257 ^ []))],extension(261 ^ 4)).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------