TSTP Solution File: SEU361+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU361+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.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 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU361+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n025.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 13:30:48 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(439 ^ _63051) ^ [] : [empty_carrier(437 ^ [])], (441 ^ _63051) ^ [] : [-(antisymmetric_relstr(437 ^ []))], (443 ^ _63051) ^ [] : [-(lower_bounded_relstr(437 ^ []))], (445 ^ _63051) ^ [] : [-(rel_str(437 ^ []))], (448 ^ _63051) ^ [] : [-(element(446 ^ [], the_carrier(437 ^ [])))], (450 ^ _63051) ^ [] : [related(437 ^ [], bottom_of_relstr(437 ^ []), 446 ^ [])], (222 ^ _63051) ^ [_70316, _70318] : [in(_70318, _70316), in(_70316, _70318)], (228 ^ _63051) ^ [_70513] : [empty(_70513), -(finite(_70513))], (234 ^ _63051) ^ [_70699] : [rel_str(_70699), -(bottom_of_relstr(_70699) = join_on_relstr(_70699, empty_set))], (240 ^ _63051) ^ [] : [true___, -(true___)], (246 ^ _63051) ^ [_71030, _71032] : [rel_str(_71032), -(element(join_on_relstr(_71032, _71030), the_carrier(_71032)))], (252 ^ _63051) ^ [_71234] : [rel_str(_71234), -(element(bottom_of_relstr(_71234), the_carrier(_71234)))], (258 ^ _63051) ^ [_71430] : [rel_str(_71430), -(one_sorted_str(_71430))], (264 ^ _63051) ^ [] : [true___, -(true___)], (270 ^ _63051) ^ [] : [true___, -(true___)], (276 ^ _63051) ^ [] : [true___, -(true___)], (283 ^ _63051) ^ [] : [-(rel_str(281 ^ []))], (286 ^ _63051) ^ [] : [-(one_sorted_str(284 ^ []))], (289 ^ _63051) ^ [_72175] : [-(element(287 ^ [_72175], _72175))], (291 ^ _63051) ^ [_72273] : [empty(the_carrier(_72273)), -(empty_carrier(_72273)), one_sorted_str(_72273)], (301 ^ _63051) ^ [] : [-(empty(empty_set))], (304 ^ _63051) ^ [] : [empty(302 ^ [])], (306 ^ _63051) ^ [] : [-(finite(302 ^ []))], (309 ^ _63051) ^ [] : [-(empty(307 ^ []))], (312 ^ _63051) ^ [] : [empty(310 ^ [])], (315 ^ _63051) ^ [] : [-(one_sorted_str(313 ^ []))], (317 ^ _63051) ^ [] : [empty_carrier(313 ^ [])], (319 ^ _63051) ^ [_73096, _73098] : [in(_73098, _73096), -(element(_73098, _73096))], (325 ^ _63051) ^ [_73306, _73308] : [element(_73308, _73306), -(empty(_73306)), -(in(_73308, _73306))], (335 ^ _63051) ^ [_73590] : [antisymmetric_relstr(_73590), rel_str(_73590), 342 ^ _63051 : [(343 ^ _63051) ^ [_73903] : [element(_73903, the_carrier(_73590)), 346 ^ _63051 : [(367 ^ _63051) ^ [_74776] : [379 ^ _63051 : [(380 ^ _63051) ^ [] : [-(_73903 = join_on_relstr(_73590, _74776))], (382 ^ _63051) ^ [] : [-(ex_sup_of_relstr_set(_73590, _74776))]], relstr_set_smaller(_73590, _74776, _73903), 373 ^ _63051 : [(374 ^ _63051) ^ [] : [-(element(372 ^ [_73590, _73903, _74776], the_carrier(_73590)))], (376 ^ _63051) ^ [] : [-(relstr_set_smaller(_73590, _74776, 372 ^ [_73590, _73903, _74776]))], (378 ^ _63051) ^ [] : [related(_73590, _73903, 372 ^ [_73590, _73903, _74776])]]], (347 ^ _63051) ^ [_74152] : [_73903 = join_on_relstr(_73590, _74152), ex_sup_of_relstr_set(_73590, _74152), 354 ^ _63051 : [(355 ^ _63051) ^ [] : [-(relstr_set_smaller(_73590, _74152, _73903))], (357 ^ _63051) ^ [_74482] : [element(_74482, the_carrier(_73590)), relstr_set_smaller(_73590, _74152, _74482), -(related(_73590, _73903, _74482))]]]]]]], (384 ^ _63051) ^ [_75432] : [399 ^ _63051 : [(400 ^ _63051) ^ [] : [-(ex_sup_of_relstr_set(_75432, empty_set))], (402 ^ _63051) ^ [] : [-(ex_inf_of_relstr_set(_75432, the_carrier(_75432)))]], -(empty_carrier(_75432)), antisymmetric_relstr(_75432), lower_bounded_relstr(_75432), rel_str(_75432)], (404 ^ _63051) ^ [_75949] : [empty(_75949), -(_75949 = empty_set)], (410 ^ _63051) ^ [_76137] : [rel_str(_76137), 413 ^ _63051 : [(414 ^ _63051) ^ [_76278] : [element(_76278, the_carrier(_76137)), 417 ^ _63051 : [(418 ^ _63051) ^ [] : [-(relstr_set_smaller(_76137, empty_set, _76278))], (420 ^ _63051) ^ [] : [-(relstr_element_smaller(_76137, empty_set, _76278))]]]]], (422 ^ _63051) ^ [_76578, _76580] : [in(_76580, _76578), empty(_76578)], (428 ^ _63051) ^ [_76765, _76767] : [empty(_76767), -(_76767 = _76765), empty(_76765)], (200 ^ _63051) ^ [_69527, _69529, _69531, _69533] : [-(join_on_relstr(_69533, _69529) = join_on_relstr(_69531, _69527)), _69533 = _69531, _69529 = _69527], (210 ^ _63051) ^ [_69858, _69860] : [_69860 = _69858, -(the_carrier(_69860) = the_carrier(_69858))], (216 ^ _63051) ^ [_70056, _70058] : [_70058 = _70056, -(bottom_of_relstr(_70058) = bottom_of_relstr(_70056))], (2 ^ _63051) ^ [_63195] : [-(_63195 = _63195)], (4 ^ _63051) ^ [_63302, _63304] : [_63304 = _63302, -(_63302 = _63304)], (10 ^ _63051) ^ [_63506, _63508, _63510] : [-(_63510 = _63506), _63510 = _63508, _63508 = _63506], (20 ^ _63051) ^ [_63819, _63821] : [-(finite(_63819)), _63821 = _63819, finite(_63821)], (30 ^ _63051) ^ [_64114, _64116] : [-(one_sorted_str(_64114)), _64116 = _64114, one_sorted_str(_64116)], (40 ^ _63051) ^ [_64437, _64439, _64441, _64443] : [-(ex_sup_of_relstr_set(_64441, _64437)), ex_sup_of_relstr_set(_64443, _64439), _64443 = _64441, _64439 = _64437], (54 ^ _63051) ^ [_64881, _64883, _64885, _64887] : [-(ex_inf_of_relstr_set(_64885, _64881)), ex_inf_of_relstr_set(_64887, _64883), _64887 = _64885, _64883 = _64881], (68 ^ _63051) ^ [_65353, _65355, _65357, _65359, _65361, _65363] : [-(relstr_set_smaller(_65361, _65357, _65353)), relstr_set_smaller(_65363, _65359, _65355), _65363 = _65361, _65359 = _65357, _65355 = _65353], (86 ^ _63051) ^ [_65962, _65964, _65966, _65968, _65970, _65972] : [-(relstr_element_smaller(_65970, _65966, _65962)), relstr_element_smaller(_65972, _65968, _65964), _65972 = _65970, _65968 = _65966, _65964 = _65962], (104 ^ _63051) ^ [_66543, _66545, _66547, _66549] : [-(in(_66547, _66543)), in(_66549, _66545), _66549 = _66547, _66545 = _66543], (118 ^ _63051) ^ [_66959, _66961] : [-(empty(_66959)), _66961 = _66959, empty(_66961)], (128 ^ _63051) ^ [_67254, _67256] : [-(empty_carrier(_67254)), _67256 = _67254, empty_carrier(_67256)], (138 ^ _63051) ^ [_67549, _67551] : [-(antisymmetric_relstr(_67549)), _67551 = _67549, antisymmetric_relstr(_67551)], (148 ^ _63051) ^ [_67844, _67846] : [-(lower_bounded_relstr(_67844)), _67846 = _67844, lower_bounded_relstr(_67846)], (158 ^ _63051) ^ [_68139, _68141] : [-(rel_str(_68139)), _68141 = _68139, rel_str(_68141)], (168 ^ _63051) ^ [_68462, _68464, _68466, _68468] : [-(element(_68466, _68462)), element(_68468, _68464), _68468 = _68466, _68464 = _68462], (182 ^ _63051) ^ [_68914, _68916, _68918, _68920, _68922, _68924] : [-(related(_68922, _68918, _68914)), related(_68924, _68920, _68916), _68924 = _68922, _68920 = _68918, _68916 = _68914]], input).
% 0.32/1.37  ncf('1',plain,[related(437 ^ [], bottom_of_relstr(437 ^ []), 446 ^ [])],start(450 ^ 0)).
% 0.32/1.37  ncf('1.1',plain,[-(related(437 ^ [], bottom_of_relstr(437 ^ []), 446 ^ [])), 357 : element(446 ^ [], the_carrier(437 ^ [])), 357 : relstr_set_smaller(437 ^ [], empty_set, 446 ^ []), 357 : bottom_of_relstr(437 ^ []) = join_on_relstr(437 ^ [], empty_set), 357 : ex_sup_of_relstr_set(437 ^ [], empty_set), 347 : element(bottom_of_relstr(437 ^ []), the_carrier(437 ^ [])), 343 : antisymmetric_relstr(437 ^ []), 343 : rel_str(437 ^ [])],extension(335 ^ 1,bind([[_73590, _73903, _74152, _74482], [437 ^ [], bottom_of_relstr(437 ^ []), empty_set, 446 ^ []]]))).
% 0.32/1.37  ncf('1.1.1',plain,[-(element(446 ^ [], the_carrier(437 ^ [])))],extension(448 ^ 8)).
% 0.32/1.37  ncf('1.1.2',plain,[-(relstr_set_smaller(437 ^ [], empty_set, 446 ^ [])), 414 : element(446 ^ [], the_carrier(437 ^ [])), 414 : rel_str(437 ^ [])],extension(410 ^ 8,bind([[_76137, _76278], [437 ^ [], 446 ^ []]]))).
% 0.32/1.37  ncf('1.1.2.1',plain,[-(element(446 ^ [], the_carrier(437 ^ [])))],lemmata('[1].x')).
% 0.32/1.37  ncf('1.1.2.2',plain,[-(rel_str(437 ^ []))],extension(445 ^ 9)).
% 0.32/1.37  ncf('1.1.3',plain,[-(bottom_of_relstr(437 ^ []) = join_on_relstr(437 ^ [], empty_set)), rel_str(437 ^ [])],extension(234 ^ 6,bind([[_70699], [437 ^ []]]))).
% 0.32/1.37  ncf('1.1.3.1',plain,[-(rel_str(437 ^ []))],extension(445 ^ 7)).
% 0.32/1.37  ncf('1.1.4',plain,[-(ex_sup_of_relstr_set(437 ^ [], empty_set)), -(empty_carrier(437 ^ [])), antisymmetric_relstr(437 ^ []), lower_bounded_relstr(437 ^ []), rel_str(437 ^ [])],extension(384 ^ 6,bind([[_75432], [437 ^ []]]))).
% 0.32/1.37  ncf('1.1.4.1',plain,[empty_carrier(437 ^ [])],extension(439 ^ 7)).
% 0.32/1.37  ncf('1.1.4.2',plain,[-(antisymmetric_relstr(437 ^ []))],extension(441 ^ 7)).
% 0.32/1.37  ncf('1.1.4.3',plain,[-(lower_bounded_relstr(437 ^ []))],extension(443 ^ 7)).
% 0.32/1.37  ncf('1.1.4.4',plain,[-(rel_str(437 ^ []))],extension(445 ^ 7)).
% 0.32/1.37  ncf('1.1.5',plain,[-(element(bottom_of_relstr(437 ^ []), the_carrier(437 ^ []))), rel_str(437 ^ [])],extension(252 ^ 4,bind([[_71234], [437 ^ []]]))).
% 0.32/1.37  ncf('1.1.5.1',plain,[-(rel_str(437 ^ []))],extension(445 ^ 5)).
% 0.32/1.37  ncf('1.1.6',plain,[-(antisymmetric_relstr(437 ^ []))],extension(441 ^ 2)).
% 0.32/1.37  ncf('1.1.7',plain,[-(rel_str(437 ^ []))],extension(445 ^ 2)).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------