%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU220+3 : TPTP v8.1.2. Released v3.2.0.
% 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 12:02:44 EDT 2023

% Result   : Theorem 100.19s 97.51s
% Output   : Proof 100.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU220+3 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % 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 12:55:48 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 100.19/97.51  
% 100.19/97.51  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 100.19/97.51  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.19/97.51  %-----------------------------------------------------
% 100.19/97.51  ncf(matrix, plain, [(559 ^ _107063) ^ [] : [-(relation(557 ^ []))], (563 ^ _107063) ^ [] : [-(one_to_one(557 ^ []))], (567 ^ _107063) ^ [] : [556 ^ [] = apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ [])), 556 ^ [] = apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ [])], (565 ^ _107063) ^ [] : [-(in(556 ^ [], relation_rng(557 ^ [])))], (561 ^ _107063) ^ [] : [-(function(557 ^ []))], !, (367 ^ _88964) ^ [_100571, _100573] : [in(_100573, _100571), -(element(_100573, _100571))], (10 ^ _88964) ^ [_89399, _89401, _89403] : [-(_89403 = _89399), _89403 = _89401, _89401 = _89399], (2 ^ _88964) ^ [_89088] : [-(_89088 = _89088)], (291 ^ _88964) ^ [_98093] : [empty(_98093), 294 ^ _88964 : [(297 ^ _88964) ^ [] : [-(relation(relation_rng(_98093)))], (295 ^ _88964) ^ [] : [-(empty(relation_rng(_98093)))]]], (124 ^ _88964) ^ [_92955, _92957] : [_92957 = _92955, -(relation_rng(_92957) = relation_rng(_92955))], (336 ^ _88964) ^ [] : [-(empty(332 ^ []))], (341 ^ _88964) ^ [] : [empty(339 ^ [])], (112 ^ _88964) ^ [_92519, _92521] : [_92521 = _92519, -(relation_dom(_92521) = relation_dom(_92519))], (140 ^ _88964) ^ [_93560, _93562, _93564, _93566] : [-(relation_composition(_93566, _93562) = relation_composition(_93564, _93560)), _93566 = _93564, _93562 = _93560], (4 ^ _88964) ^ [_89195, _89197] : [_89197 = _89195, -(_89195 = _89197)], (363 ^ _88964) ^ [] : [-(relation_empty_yielding(359 ^ []))], (525 ^ _88964) ^ [_105794, _105796, _105798] : [in(_105798, _105796), element(_105796, powerset(_105794)), empty(_105794)], (356 ^ _88964) ^ [] : [-(function(352 ^ []))], (98 ^ _88964) ^ [_92083, _92085, _92087, _92089] : [-(in(_92087, _92083)), in(_92089, _92085), _92089 = _92087, _92085 = _92083], (417 ^ _88964) ^ [_102189, _102191, _102193] : [-(element(_102193, _102189)), in(_102193, _102191), element(_102191, powerset(_102189))], (395 ^ _88964) ^ [_101466, _101468] : [element(_101468, _101466), -(empty(_101466)), -(in(_101468, _101466))], (331 ^ _88964) ^ [] : [-(empty(329 ^ []))], (343 ^ _88964) ^ [] : [-(relation(339 ^ []))], (338 ^ _88964) ^ [] : [-(function(332 ^ []))], (168 ^ _88964) ^ [_94494] : [empty(_94494), -(relation(_94494))], (314 ^ _88964) ^ [] : [-(function(310 ^ []))], (20 ^ _88964) ^ [_89712, _89714] : [-(relation_empty_yielding(_89712)), _89714 = _89712, relation_empty_yielding(_89714)], (509 ^ _88964) ^ [_105313] : [relation(_105313), function(_105313), one_to_one(_105313), 520 ^ _88964 : [(523 ^ _88964) ^ [] : [-(relation_dom(_105313) = relation_rng(function_inverse(_105313)))], (521 ^ _88964) ^ [] : [-(relation_rng(_105313) = relation_dom(function_inverse(_105313)))]]], (156 ^ _88964) ^ [_94111, _94113] : [in(_94113, _94111), in(_94111, _94113)], (78 ^ _88964) ^ [_91485, _91487] : [-(function(_91485)), _91487 = _91485, function(_91487)], (283 ^ _88964) ^ [_97828] : [empty(_97828), 286 ^ _88964 : [(289 ^ _88964) ^ [] : [-(relation(relation_dom(_97828)))], (287 ^ _88964) ^ [] : [-(empty(relation_dom(_97828)))]]], (229 ^ _88964) ^ [] : [-(empty(empty_set))], (235 ^ _88964) ^ [_96497, _96499] : [250 ^ _88964 : [(253 ^ _88964) ^ [] : [-(function(relation_composition(_96499, _96497)))], (251 ^ _88964) ^ [] : [-(relation(relation_composition(_96499, _96497)))]], relation(_96499), function(_96499), relation(_96497), function(_96497)], (259 ^ _88964) ^ [] : [-(empty(empty_set))], (204 ^ _88964) ^ [_95535, _95537] : [-(relation(relation_composition(_95537, _95535))), relation(_95537), relation(_95535)], (217 ^ _88964) ^ [_95956, _95958] : [224 ^ _88964 : [(227 ^ _88964) ^ [] : [-(relation(relation_composition(_95956, _95958)))], (225 ^ _88964) ^ [] : [-(empty(relation_composition(_95956, _95958)))]], empty(_95958), relation(_95956)], (58 ^ _88964) ^ [_90895, _90897] : [-(empty(_90895)), _90897 = _90895, empty(_90897)], (411 ^ _88964) ^ [_101959, _101961] : [subset(_101961, _101959), -(element(_101961, powerset(_101959)))], (231 ^ _88964) ^ [] : [-(relation(empty_set))], (174 ^ _88964) ^ [_94680] : [185 ^ _88964 : [(190 ^ _88964) ^ [] : [-(one_to_one(_94680))], (188 ^ _88964) ^ [] : [-(function(_94680))], (186 ^ _88964) ^ [] : [-(relation(_94680))]], relation(_94680), empty(_94680), function(_94680)], (118 ^ _88964) ^ [_92737, _92739] : [_92739 = _92737, -(powerset(_92739) = powerset(_92737))], (299 ^ _88964) ^ [_98372, _98374] : [306 ^ _88964 : [(309 ^ _88964) ^ [] : [-(relation(relation_composition(_98374, _98372)))], (307 ^ _88964) ^ [] : [-(empty(relation_composition(_98374, _98372)))]], empty(_98374), relation(_98372)], (346 ^ _88964) ^ [_99865] : [-(element(344 ^ [_99865], powerset(_99865)))], (30 ^ _88964) ^ [_90035, _90037, _90039, _90041] : [-(subset(_90039, _90035)), subset(_90041, _90037), _90041 = _90039, _90037 = _90035], (354 ^ _88964) ^ [] : [-(relation(352 ^ []))], (365 ^ _88964) ^ [_100462, _100464] : [-(subset(_100464, _100464))], (130 ^ _88964) ^ [_93201, _93203, _93205, _93207] : [-(apply(_93207, _93203) = apply(_93205, _93201)), _93207 = _93205, _93203 = _93201], (215 ^ _88964) ^ [_95844] : [-(element(213 ^ [_95844], _95844))], (68 ^ _88964) ^ [_91190, _91192] : [-(relation(_91190)), _91192 = _91190, relation(_91192)], (257 ^ _88964) ^ [] : [-(empty(empty_set))], (361 ^ _88964) ^ [] : [-(relation(359 ^ []))], (541 ^ _88964) ^ [_106292, _106294] : [in(_106294, _106292), empty(_106292)], (319 ^ _88964) ^ [] : [-(relation(315 ^ []))], (312 ^ _88964) ^ [] : [-(relation(310 ^ []))], (351 ^ _88964) ^ [] : [empty(349 ^ [])], (405 ^ _88964) ^ [_101793, _101795] : [element(_101795, powerset(_101793)), -(subset(_101795, _101793))], (261 ^ _88964) ^ [] : [-(relation(empty_set))], (150 ^ _88964) ^ [_93871, _93873] : [_93873 = _93871, -(function_inverse(_93873) = function_inverse(_93871))], (162 ^ _88964) ^ [_94308] : [empty(_94308), -(function(_94308))], (348 ^ _88964) ^ [_99916] : [-(empty(344 ^ [_99916]))], (255 ^ _88964) ^ [_97019] : [empty(powerset(_97019))], (535 ^ _88964) ^ [_106090] : [empty(_106090), -(_106090 = empty_set)], (263 ^ _88964) ^ [_97274] : [empty(relation_dom(_97274)), -(empty(_97274)), relation(_97274)], (427 ^ _88964) ^ [_102488] : [relation(_102488), function(_102488), one_to_one(_102488), 438 ^ _88964 : [(439 ^ _88964) ^ [_102875] : [relation(_102875), function(_102875), 446 ^ _88964 : [(447 ^ _88964) ^ [] : [_102875 = function_inverse(_102488), 450 ^ _88964 : [(465 ^ _88964) ^ [_103766, _103768] : [472 ^ _88964 : [(475 ^ _88964) ^ [] : [-(_103766 = apply(_102875, _103768))], (473 ^ _88964) ^ [] : [-(in(_103768, relation_rng(_102488)))]], in(_103766, relation_dom(_102488)), _103768 = apply(_102488, _103766)], (453 ^ _88964) ^ [_103392, _103394] : [460 ^ _88964 : [(463 ^ _88964) ^ [] : [-(_103394 = apply(_102488, _103392))], (461 ^ _88964) ^ [] : [-(in(_103392, relation_dom(_102488)))]], in(_103394, relation_rng(_102488)), _103392 = apply(_102875, _103394)], (451 ^ _88964) ^ [] : [-(relation_dom(_102875) = relation_rng(_102488))]]], (477 ^ _88964) ^ [] : [-(_102875 = function_inverse(_102488)), relation_dom(_102875) = relation_rng(_102488), 486 ^ _88964 : [(491 ^ _88964) ^ [] : [in(483 ^ [_102488, _102875], relation_dom(_102488)), 482 ^ [_102488, _102875] = apply(_102488, 483 ^ [_102488, _102875])], (489 ^ _88964) ^ [] : [-(483 ^ [_102488, _102875] = apply(_102875, 482 ^ [_102488, _102875]))], (487 ^ _88964) ^ [] : [-(in(482 ^ [_102488, _102875], relation_rng(_102488)))]], 496 ^ _88964 : [(501 ^ _88964) ^ [] : [in(482 ^ [_102488, _102875], relation_rng(_102488)), 483 ^ [_102488, _102875] = apply(_102875, 482 ^ [_102488, _102875])], (499 ^ _88964) ^ [] : [-(482 ^ [_102488, _102875] = apply(_102488, 483 ^ [_102488, _102875]))], (497 ^ _88964) ^ [] : [-(in(483 ^ [_102488, _102875], relation_dom(_102488)))]]]]]]], (547 ^ _88964) ^ [_106479, _106481] : [empty(_106481), -(_106481 = _106479), empty(_106479)], (273 ^ _88964) ^ [_97551] : [empty(relation_rng(_97551)), -(empty(_97551)), relation(_97551)], (373 ^ _88964) ^ [_100781, _100783] : [relation(_100781), function(_100781), 380 ^ _88964 : [(381 ^ _88964) ^ [_101027] : [relation(_101027), function(_101027), in(_100783, relation_dom(_100781)), -(apply(relation_composition(_100781, _101027), _100783) = apply(_101027, apply(_100781, _100783)))]]], (44 ^ _88964) ^ [_90479, _90481, _90483, _90485] : [-(element(_90483, _90479)), element(_90485, _90481), _90485 = _90483, _90481 = _90479], (334 ^ _88964) ^ [] : [-(relation(332 ^ []))], (317 ^ _88964) ^ [] : [-(empty(315 ^ []))], (233 ^ _88964) ^ [] : [-(relation_empty_yielding(empty_set))], (192 ^ _88964) ^ [_95173] : [199 ^ _88964 : [(202 ^ _88964) ^ [] : [-(function(function_inverse(_95173)))], (200 ^ _88964) ^ [] : [-(relation(function_inverse(_95173)))]], relation(_95173), function(_95173)], (358 ^ _88964) ^ [] : [-(one_to_one(352 ^ []))], (88 ^ _88964) ^ [_91780, _91782] : [-(one_to_one(_91780)), _91782 = _91780, one_to_one(_91782)], (321 ^ _88964) ^ [_99034] : [-(empty(_99034)), 325 ^ _88964 : [(328 ^ _88964) ^ [] : [empty(324 ^ [_99034])], (326 ^ _88964) ^ [] : [-(element(324 ^ [_99034], powerset(_99034)))]]]], input).
% 100.19/97.51  ncf('1',plain,[-(relation(557 ^ []))],start(559 ^ 0)).
% 100.19/97.51  ncf('1.1',plain,[relation(557 ^ []), 381 : function(557 ^ []), 381 : in(556 ^ [], relation_dom(function_inverse(557 ^ []))), 381 : -(apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []) = apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ []))), 381 : relation(function_inverse(557 ^ [])), 381 : function(function_inverse(557 ^ []))],extension(373 ^ 1,bind([[_100781, _100783, _101027], [function_inverse(557 ^ []), 556 ^ [], 557 ^ []]]))).
% 100.19/97.51  ncf('1.1.1',plain,[-(function(557 ^ []))],extension(561 ^ 4)).
% 100.19/97.51  ncf('1.1.2',plain,[-(in(556 ^ [], relation_dom(function_inverse(557 ^ [])))), in(556 ^ [], relation_rng(557 ^ [])), 556 ^ [] = 556 ^ [], relation_rng(557 ^ []) = relation_dom(function_inverse(557 ^ []))],extension(98 ^ 4,bind([[_92083, _92085, _92087, _92089], [relation_dom(function_inverse(557 ^ [])), relation_rng(557 ^ []), 556 ^ [], 556 ^ []]]))).
% 100.19/97.51  ncf('1.1.2.1',plain,[-(in(556 ^ [], relation_rng(557 ^ [])))],extension(565 ^ 5)).
% 100.19/97.51  ncf('1.1.2.2',plain,[-(556 ^ [] = 556 ^ [])],extension(2 ^ 5,bind([[_89088], [556 ^ []]]))).
% 100.19/97.51  ncf('1.1.2.3',plain,[-(relation_rng(557 ^ []) = relation_dom(function_inverse(557 ^ []))), relation_dom(function_inverse(557 ^ [])) = relation_rng(557 ^ [])],extension(4 ^ 5,bind([[_89195, _89197], [relation_rng(557 ^ []), relation_dom(function_inverse(557 ^ []))]]))).
% 100.19/97.51  ncf('1.1.2.3.1',plain,[-(relation_dom(function_inverse(557 ^ [])) = relation_rng(557 ^ [])), 447 : function_inverse(557 ^ []) = function_inverse(557 ^ []), 447 : relation(function_inverse(557 ^ [])), 447 : function(function_inverse(557 ^ [])), 439 : relation(557 ^ []), 439 : function(557 ^ []), 439 : one_to_one(557 ^ [])],extension(427 ^ 6,bind([[_102488, _102875], [557 ^ [], function_inverse(557 ^ [])]]))).
% 100.19/97.51  ncf('1.1.2.3.1.1',plain,[-(function_inverse(557 ^ []) = function_inverse(557 ^ []))],extension(2 ^ 11,bind([[_89088], [function_inverse(557 ^ [])]]))).
% 100.19/97.51  ncf('1.1.2.3.1.2',plain,[-(relation(function_inverse(557 ^ []))), relation(557 ^ []), function(557 ^ [])],extension(192 ^ 9,bind([[_95173], [557 ^ []]]))).
% 100.19/97.51  ncf('1.1.2.3.1.2.1',plain,[-(relation(557 ^ []))],reduction('1')).
% 100.19/97.51  ncf('1.1.2.3.1.2.2',plain,[-(function(557 ^ []))],lemmata('[1].x')).
% 100.19/97.51  ncf('1.1.2.3.1.3',plain,[-(function(function_inverse(557 ^ []))), relation(557 ^ []), function(557 ^ [])],extension(192 ^ 9,bind([[_95173], [557 ^ []]]))).
% 100.19/97.51  ncf('1.1.2.3.1.3.1',plain,[-(relation(557 ^ []))],reduction('1')).
% 100.19/97.51  ncf('1.1.2.3.1.3.2',plain,[-(function(557 ^ []))],lemmata('[1].x')).
% 100.19/97.51  ncf('1.1.2.3.1.4',plain,[-(relation(557 ^ []))],reduction('1')).
% 100.19/97.51  ncf('1.1.2.3.1.5',plain,[-(function(557 ^ []))],lemmata('[1].x')).
% 100.19/97.51  ncf('1.1.2.3.1.6',plain,[-(one_to_one(557 ^ []))],extension(563 ^ 7)).
% 100.19/97.51  ncf('1.1.3',plain,[apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []) = apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ [])), -(apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []) = 556 ^ []), apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ [])) = 556 ^ []],extension(10 ^ 4,bind([[_89399, _89401, _89403], [556 ^ [], apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ [])), apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ [])]]))).
% 100.19/97.51  ncf('1.1.3.1',plain,[apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []) = 556 ^ [], -(556 ^ [] = apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []))],extension(4 ^ 5,bind([[_89195, _89197], [556 ^ [], apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ [])]]))).
% 100.19/97.51  ncf('1.1.3.1.1',plain,[556 ^ [] = apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []), 556 ^ [] = apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ []))],extension(567 ^ 6)).
% 100.19/97.51  ncf('1.1.3.1.1.1',plain,[-(556 ^ [] = apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ []))), 556 ^ [] = apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []), apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []) = apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ []))],extension(10 ^ 7,bind([[_89399, _89401, _89403], [apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ [])), apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []), 556 ^ []]]))).
% 100.19/97.51  ncf('1.1.3.1.1.1.1',plain,[-(556 ^ [] = apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []))],reduction('1.1.3.1')).
% 100.19/97.51  ncf('1.1.3.1.1.1.2',plain,[-(apply(relation_composition(function_inverse(557 ^ []), 557 ^ []), 556 ^ []) = apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ [])))],reduction('1.1')).
% 100.19/97.51  ncf('1.1.3.2',plain,[-(apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ [])) = 556 ^ []), 556 ^ [] = apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ []))],extension(4 ^ 5,bind([[_89195, _89197], [apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ [])), 556 ^ []]]))).
% 100.19/97.51  ncf('1.1.3.2.1',plain,[-(556 ^ [] = apply(557 ^ [], apply(function_inverse(557 ^ []), 556 ^ []))), 453 : in(556 ^ [], relation_rng(557 ^ [])), 453 : apply(function_inverse(557 ^ []), 556 ^ []) = apply(function_inverse(557 ^ []), 556 ^ []), 453 : function_inverse(557 ^ []) = function_inverse(557 ^ []), 447 : relation(function_inverse(557 ^ [])), 447 : function(function_inverse(557 ^ [])), 439 : relation(557 ^ []), 439 : function(557 ^ []), 439 : one_to_one(557 ^ [])],extension(427 ^ 6,bind([[_102488, _102875, _103392, _103394], [557 ^ [], function_inverse(557 ^ []), apply(function_inverse(557 ^ []), 556 ^ []), 556 ^ []]]))).
% 100.19/97.51  ncf('1.1.3.2.1.1',plain,[-(in(556 ^ [], relation_rng(557 ^ [])))],extension(565 ^ 13)).
% 100.19/97.51  ncf('1.1.3.2.1.2',plain,[-(apply(function_inverse(557 ^ []), 556 ^ []) = apply(function_inverse(557 ^ []), 556 ^ []))],extension(2 ^ 13,bind([[_89088], [apply(function_inverse(557 ^ []), 556 ^ [])]]))).
% 100.19/97.51  ncf('1.1.3.2.1.3',plain,[-(function_inverse(557 ^ []) = function_inverse(557 ^ []))],extension(2 ^ 11,bind([[_89088], [function_inverse(557 ^ [])]]))).
% 100.19/97.51  ncf('1.1.3.2.1.4',plain,[-(relation(function_inverse(557 ^ []))), relation(557 ^ []), function(557 ^ [])],extension(192 ^ 9,bind([[_95173], [557 ^ []]]))).
% 100.19/97.51  ncf('1.1.3.2.1.4.1',plain,[-(relation(557 ^ []))],reduction('1')).
% 100.19/97.51  ncf('1.1.3.2.1.4.2',plain,[-(function(557 ^ []))],lemmata('[1].x')).
% 100.19/97.51  ncf('1.1.3.2.1.5',plain,[-(function(function_inverse(557 ^ []))), relation(557 ^ []), function(557 ^ [])],extension(192 ^ 9,bind([[_95173], [557 ^ []]]))).
% 100.19/97.51  ncf('1.1.3.2.1.5.1',plain,[-(relation(557 ^ []))],reduction('1')).
% 100.19/97.51  ncf('1.1.3.2.1.5.2',plain,[-(function(557 ^ []))],lemmata('[1].x')).
% 100.19/97.51  ncf('1.1.3.2.1.6',plain,[-(relation(557 ^ []))],reduction('1')).
% 100.19/97.51  ncf('1.1.3.2.1.7',plain,[-(function(557 ^ []))],lemmata('[1].x')).
% 100.19/97.51  ncf('1.1.3.2.1.8',plain,[-(one_to_one(557 ^ []))],extension(563 ^ 7)).
% 100.19/97.51  ncf('1.1.4',plain,[-(relation(function_inverse(557 ^ []))), relation(557 ^ []), function(557 ^ [])],extension(192 ^ 2,bind([[_95173], [557 ^ []]]))).
% 100.19/97.51  ncf('1.1.4.1',plain,[-(relation(557 ^ []))],reduction('1')).
% 100.19/97.51  ncf('1.1.4.2',plain,[-(function(557 ^ []))],extension(561 ^ 3)).
% 100.19/97.51  ncf('1.1.5',plain,[-(function(function_inverse(557 ^ []))), relation(557 ^ []), function(557 ^ [])],extension(192 ^ 2,bind([[_95173], [557 ^ []]]))).
% 100.19/97.51  ncf('1.1.5.1',plain,[-(relation(557 ^ []))],reduction('1')).
% 100.19/97.51  ncf('1.1.5.2',plain,[-(function(557 ^ []))],extension(561 ^ 3)).
% 100.19/97.51  %-----------------------------------------------------
% 100.19/97.51  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------