%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU080+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 12:02:11 EDT 2023

% Result   : Theorem 0.23s 1.31s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SEU080+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09  % Command  : nanocop.sh %s %d
% 0.08/0.28  % Computer : n019.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.28  % CPULimit : 300
% 0.12/0.28  % WCLimit  : 300
% 0.12/0.28  % DateTime : Thu May 18 13:26:57 EDT 2023
% 0.12/0.28  % CPUTime  : 
% 0.23/1.31  
% 0.23/1.31  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.23/1.31  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/1.31  %-----------------------------------------------------
% 0.23/1.31  ncf(matrix, plain, [(370 ^ _54013) ^ [] : [-(relation(368 ^ []))], (372 ^ _54013) ^ [] : [-(function(368 ^ []))], (374 ^ _54013) ^ [] : [-(relation_inverse_image(368 ^ [], 366 ^ []) = relation_inverse_image(368 ^ [], 367 ^ []))], (376 ^ _54013) ^ [] : [-(subset(366 ^ [], relation_rng(368 ^ [])))], (378 ^ _54013) ^ [] : [-(subset(367 ^ [], relation_rng(368 ^ [])))], (380 ^ _54013) ^ [] : [366 ^ [] = 367 ^ []], (112 ^ _54013) ^ [_57588, _57590] : [_57590 = _57588, -(powerset(_57590) = powerset(_57588))], (128 ^ _54013) ^ [_58145, _58147] : [_58147 = _58145, -(relation_rng(_58147) = relation_rng(_58145))], (118 ^ _54013) ^ [_57834, _57836, _57838, _57840] : [-(relation_inverse_image(_57840, _57836) = relation_inverse_image(_57838, _57834)), _57840 = _57838, _57836 = _57834], (2 ^ _54013) ^ [_54157] : [-(_54157 = _54157)], (4 ^ _54013) ^ [_54264, _54266] : [_54266 = _54264, -(_54264 = _54266)], (10 ^ _54013) ^ [_54468, _54470, _54472] : [-(_54472 = _54468), _54472 = _54470, _54470 = _54468], (20 ^ _54013) ^ [_54781, _54783] : [-(one_to_one(_54781)), _54783 = _54781, one_to_one(_54783)], (30 ^ _54013) ^ [_55076, _55078] : [-(relation_empty_yielding(_55076)), _55078 = _55076, relation_empty_yielding(_55078)], (40 ^ _54013) ^ [_55399, _55401, _55403, _55405] : [-(element(_55403, _55399)), element(_55405, _55401), _55405 = _55403, _55401 = _55399], (54 ^ _54013) ^ [_55843, _55845, _55847, _55849] : [-(in(_55847, _55843)), in(_55849, _55845), _55849 = _55847, _55845 = _55843], (68 ^ _54013) ^ [_56259, _56261] : [-(empty(_56259)), _56261 = _56259, empty(_56261)], (78 ^ _54013) ^ [_56554, _56556] : [-(relation(_56554)), _56556 = _56554, relation(_56556)], (88 ^ _54013) ^ [_56849, _56851] : [-(function(_56849)), _56851 = _56849, function(_56851)], (98 ^ _54013) ^ [_57152, _57154, _57156, _57158] : [-(subset(_57156, _57152)), subset(_57158, _57154), _57158 = _57156, _57154 = _57152], (134 ^ _54013) ^ [_58373, _58375] : [in(_58375, _58373), in(_58373, _58375)], (140 ^ _54013) ^ [_58570] : [empty(_58570), -(function(_58570))], (146 ^ _54013) ^ [_58756] : [empty(_58756), -(relation(_58756))], (152 ^ _54013) ^ [_58942] : [163 ^ _54013 : [(164 ^ _54013) ^ [] : [-(relation(_58942))], (166 ^ _54013) ^ [] : [-(function(_58942))], (168 ^ _54013) ^ [] : [-(one_to_one(_58942))]], relation(_58942), empty(_58942), function(_58942)], (170 ^ _54013) ^ [_59478, _59480] : [_59480 = _59478, 173 ^ _54013 : [(174 ^ _54013) ^ [] : [-(subset(_59480, _59478))], (176 ^ _54013) ^ [] : [-(subset(_59478, _59480))]]], (178 ^ _54013) ^ [_59715, _59717] : [-(_59717 = _59715), subset(_59717, _59715), subset(_59715, _59717)], (189 ^ _54013) ^ [_60026] : [-(element(187 ^ [_60026], _60026))], (191 ^ _54013) ^ [] : [-(empty(empty_set))], (193 ^ _54013) ^ [] : [-(relation(empty_set))], (195 ^ _54013) ^ [] : [-(relation_empty_yielding(empty_set))], (197 ^ _54013) ^ [_60271] : [empty(powerset(_60271))], (199 ^ _54013) ^ [] : [-(empty(empty_set))], (201 ^ _54013) ^ [] : [-(empty(empty_set))], (203 ^ _54013) ^ [] : [-(relation(empty_set))], (205 ^ _54013) ^ [_60526] : [empty(relation_rng(_60526)), -(empty(_60526)), relation(_60526)], (215 ^ _54013) ^ [_60803] : [empty(_60803), 218 ^ _54013 : [(219 ^ _54013) ^ [] : [-(empty(relation_rng(_60803)))], (221 ^ _54013) ^ [] : [-(relation(relation_rng(_60803)))]]], (224 ^ _54013) ^ [] : [-(relation(222 ^ []))], (226 ^ _54013) ^ [] : [-(function(222 ^ []))], (229 ^ _54013) ^ [] : [-(empty(227 ^ []))], (231 ^ _54013) ^ [] : [-(relation(227 ^ []))], (233 ^ _54013) ^ [_61366] : [-(empty(_61366)), 237 ^ _54013 : [(238 ^ _54013) ^ [] : [-(element(236 ^ [_61366], powerset(_61366)))], (240 ^ _54013) ^ [] : [empty(236 ^ [_61366])]]], (243 ^ _54013) ^ [] : [-(empty(241 ^ []))], (246 ^ _54013) ^ [] : [-(relation(244 ^ []))], (248 ^ _54013) ^ [] : [-(empty(244 ^ []))], (250 ^ _54013) ^ [] : [-(function(244 ^ []))], (253 ^ _54013) ^ [] : [empty(251 ^ [])], (255 ^ _54013) ^ [] : [-(relation(251 ^ []))], (258 ^ _54013) ^ [_62197] : [-(element(256 ^ [_62197], powerset(_62197)))], (260 ^ _54013) ^ [_62248] : [-(empty(256 ^ [_62248]))], (263 ^ _54013) ^ [] : [empty(261 ^ [])], (266 ^ _54013) ^ [] : [-(relation(264 ^ []))], (268 ^ _54013) ^ [] : [-(function(264 ^ []))], (270 ^ _54013) ^ [] : [-(one_to_one(264 ^ []))], (273 ^ _54013) ^ [] : [-(relation(271 ^ []))], (275 ^ _54013) ^ [] : [-(relation_empty_yielding(271 ^ []))], (277 ^ _54013) ^ [_62794, _62796] : [-(subset(_62796, _62796))], (279 ^ _54013) ^ [_62917, _62919, _62921] : [relation(_62917), function(_62917), -(subset(_62921, _62919)), subset(relation_inverse_image(_62917, _62921), relation_inverse_image(_62917, _62919)), subset(_62921, relation_rng(_62917))], (297 ^ _54013) ^ [_63426, _63428] : [in(_63428, _63426), -(element(_63428, _63426))], (303 ^ _54013) ^ [_63636, _63638] : [element(_63638, _63636), -(empty(_63636)), -(in(_63638, _63636))], (313 ^ _54013) ^ [_63963, _63965] : [element(_63965, powerset(_63963)), -(subset(_63965, _63963))], (319 ^ _54013) ^ [_64129, _64131] : [subset(_64131, _64129), -(element(_64131, powerset(_64129)))], (325 ^ _54013) ^ [_64359, _64361, _64363] : [-(element(_64363, _64359)), in(_64363, _64361), element(_64361, powerset(_64359))], (335 ^ _54013) ^ [_64686, _64688, _64690] : [in(_64690, _64688), element(_64688, powerset(_64686)), empty(_64686)], (345 ^ _54013) ^ [_64982] : [empty(_64982), -(_64982 = empty_set)], (351 ^ _54013) ^ [_65184, _65186] : [in(_65186, _65184), empty(_65184)], (357 ^ _54013) ^ [_65371, _65373] : [empty(_65373), -(_65373 = _65371), empty(_65371)]], input).
% 0.23/1.31  ncf('1',plain,[366 ^ [] = 367 ^ []],start(380 ^ 0)).
% 0.23/1.31  ncf('1.1',plain,[-(366 ^ [] = 367 ^ []), subset(366 ^ [], 367 ^ []), subset(367 ^ [], 366 ^ [])],extension(178 ^ 1,bind([[_59715, _59717], [367 ^ [], 366 ^ []]]))).
% 0.23/1.31  ncf('1.1.1',plain,[-(subset(366 ^ [], 367 ^ [])), relation(368 ^ []), function(368 ^ []), subset(relation_inverse_image(368 ^ [], 366 ^ []), relation_inverse_image(368 ^ [], 367 ^ [])), subset(366 ^ [], relation_rng(368 ^ []))],extension(279 ^ 2,bind([[_62917, _62919, _62921], [368 ^ [], 367 ^ [], 366 ^ []]]))).
% 0.23/1.31  ncf('1.1.1.1',plain,[-(relation(368 ^ []))],extension(370 ^ 3)).
% 0.23/1.31  ncf('1.1.1.2',plain,[-(function(368 ^ []))],extension(372 ^ 3)).
% 0.23/1.31  ncf('1.1.1.3',plain,[-(subset(relation_inverse_image(368 ^ [], 366 ^ []), relation_inverse_image(368 ^ [], 367 ^ []))), relation_inverse_image(368 ^ [], 366 ^ []) = relation_inverse_image(368 ^ [], 367 ^ [])],extension(170 ^ 3,bind([[_59478, _59480], [relation_inverse_image(368 ^ [], 367 ^ []), relation_inverse_image(368 ^ [], 366 ^ [])]]))).
% 0.23/1.31  ncf('1.1.1.3.1',plain,[-(relation_inverse_image(368 ^ [], 366 ^ []) = relation_inverse_image(368 ^ [], 367 ^ []))],extension(374 ^ 4)).
% 0.23/1.31  ncf('1.1.1.4',plain,[-(subset(366 ^ [], relation_rng(368 ^ [])))],extension(376 ^ 3)).
% 0.23/1.31  ncf('1.1.2',plain,[-(subset(367 ^ [], 366 ^ [])), relation(368 ^ []), function(368 ^ []), subset(relation_inverse_image(368 ^ [], 367 ^ []), relation_inverse_image(368 ^ [], 366 ^ [])), subset(367 ^ [], relation_rng(368 ^ []))],extension(279 ^ 2,bind([[_62917, _62919, _62921], [368 ^ [], 366 ^ [], 367 ^ []]]))).
% 0.23/1.31  ncf('1.1.2.1',plain,[-(relation(368 ^ []))],extension(370 ^ 3)).
% 0.23/1.31  ncf('1.1.2.2',plain,[-(function(368 ^ []))],extension(372 ^ 3)).
% 0.23/1.31  ncf('1.1.2.3',plain,[-(subset(relation_inverse_image(368 ^ [], 367 ^ []), relation_inverse_image(368 ^ [], 366 ^ []))), relation_inverse_image(368 ^ [], 366 ^ []) = relation_inverse_image(368 ^ [], 367 ^ [])],extension(170 ^ 3,bind([[_59478, _59480], [relation_inverse_image(368 ^ [], 367 ^ []), relation_inverse_image(368 ^ [], 366 ^ [])]]))).
% 0.23/1.31  ncf('1.1.2.3.1',plain,[-(relation_inverse_image(368 ^ [], 366 ^ []) = relation_inverse_image(368 ^ [], 367 ^ []))],extension(374 ^ 4)).
% 0.23/1.31  ncf('1.1.2.4',plain,[-(subset(367 ^ [], relation_rng(368 ^ [])))],extension(378 ^ 3)).
% 0.23/1.31  %-----------------------------------------------------
% 0.23/1.31  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------