%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 11:47:18 EDT 2023

% Result   : Theorem 5.03s 5.51s
% Output   : Proof 5.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n015.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 : Fri May 19 01:49:22 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 5.03/5.51  
% 5.03/5.51  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 5.03/5.51  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.03/5.51  %-----------------------------------------------------
% 5.03/5.51  ncf(matrix, plain, [(752 ^ _121679) ^ [] : [-(occurrence_of(750 ^ [], tptp0))], (754 ^ _121679) ^ [_147066, _147068] : [occurrence_of(_147068, tptp3), root_occ(_147068, 750 ^ []), 763 ^ _121679 : [(764 ^ _121679) ^ [] : [occurrence_of(_147066, tptp2)], (766 ^ _121679) ^ [] : [occurrence_of(_147066, tptp1)]], min_precedes(_147068, _147066, tptp0), leaf_occ(_147066, 750 ^ [])], (2 ^ _121679) ^ [_121803] : [-(_121803 = _121803)], (4 ^ _121679) ^ [_121910, _121912] : [_121912 = _121910, -(_121910 = _121912)], (10 ^ _121679) ^ [_122114, _122116, _122118] : [-(_122118 = _122114), _122118 = _122116, _122116 = _122114], (20 ^ _121679) ^ [_122427, _122429] : [-(activity_occurrence(_122427)), _122429 = _122427, activity_occurrence(_122429)], (30 ^ _121679) ^ [_122750, _122752, _122754, _122756] : [-(atocc(_122754, _122750)), atocc(_122756, _122752), _122756 = _122754, _122752 = _122750], (44 ^ _121679) ^ [_123194, _123196, _123198, _123200] : [-(subactivity(_123198, _123194)), subactivity(_123200, _123196), _123200 = _123198, _123196 = _123194], (58 ^ _121679) ^ [_123638, _123640, _123642, _123644] : [-(leaf(_123642, _123638)), leaf(_123644, _123640), _123644 = _123642, _123640 = _123638], (72 ^ _121679) ^ [_124054, _124056] : [-(legal(_124054)), _124056 = _124054, legal(_124056)], (82 ^ _121679) ^ [_124377, _124379, _124381, _124383] : [-(root(_124381, _124377)), root(_124383, _124379), _124383 = _124381, _124379 = _124377], (96 ^ _121679) ^ [_124793, _124795] : [-(arboreal(_124793)), _124795 = _124793, arboreal(_124795)], (106 ^ _121679) ^ [_125116, _125118, _125120, _125122] : [-(subactivity_occurrence(_125120, _125116)), subactivity_occurrence(_125122, _125118), _125122 = _125120, _125118 = _125116], (120 ^ _121679) ^ [_125560, _125562, _125564, _125566] : [-(earlier(_125564, _125560)), earlier(_125566, _125562), _125566 = _125564, _125562 = _125560], (134 ^ _121679) ^ [_126004, _126006, _126008, _126010] : [-(precedes(_126008, _126004)), precedes(_126010, _126006), _126010 = _126008, _126006 = _126004], (148 ^ _121679) ^ [_126476, _126478, _126480, _126482, _126484, _126486] : [-(next_subocc(_126484, _126480, _126476)), next_subocc(_126486, _126482, _126478), _126486 = _126484, _126482 = _126480, _126478 = _126476], (166 ^ _121679) ^ [_127029, _127031] : [-(activity(_127029)), _127031 = _127029, activity(_127031)], (176 ^ _121679) ^ [_127324, _127326] : [-(atomic(_127324)), _127326 = _127324, atomic(_127326)], (186 ^ _121679) ^ [_127647, _127649, _127651, _127653] : [-(root_occ(_127651, _127647)), root_occ(_127653, _127649), _127653 = _127651, _127649 = _127647], (200 ^ _121679) ^ [_128091, _128093, _128095, _128097] : [-(occurrence_of(_128095, _128091)), occurrence_of(_128097, _128093), _128097 = _128095, _128093 = _128091], (232 ^ _121679) ^ [_129124, _129126, _129128, _129130] : [-(leaf_occ(_129128, _129124)), leaf_occ(_129130, _129126), _129130 = _129128, _129126 = _129124], (214 ^ _121679) ^ [_128563, _128565, _128567, _128569, _128571, _128573] : [-(min_precedes(_128571, _128567, _128563)), min_precedes(_128573, _128569, _128565), _128573 = _128571, _128569 = _128567, _128565 = _128563], (246 ^ _121679) ^ [_129614, _129616] : [254 ^ _121679 : [(255 ^ _121679) ^ [] : [-(root(253 ^ [_129614, _129616], _129616))], (257 ^ _121679) ^ [] : [-(subactivity_occurrence(253 ^ [_129614, _129616], _129614))]], occurrence_of(_129614, _129616), -(atomic(_129616))], (259 ^ _121679) ^ [_130101, _130103, _130105, _130107, _130109] : [-(min_precedes(_130105, _130101, _130109)), occurrence_of(_130107, _130109), root_occ(_130103, _130107), leaf_occ(_130101, _130107), subactivity_occurrence(_130105, _130107), min_precedes(_130103, _130105, _130109), -(_130105 = _130101)], (285 ^ _121679) ^ [_130869, _130871, _130873, _130875] : [-(_130869 = _130871), occurrence_of(_130873, _130875), subactivity_occurrence(_130871, _130873), leaf_occ(_130869, _130873), arboreal(_130871), -(min_precedes(_130871, _130869, _130875))], (307 ^ _121679) ^ [_131482, _131484] : [occurrence_of(_131482, _131484), 310 ^ _121679 : [(311 ^ _121679) ^ [] : [-(activity(_131484))], (313 ^ _121679) ^ [] : [-(activity_occurrence(_131482))]]], (315 ^ _121679) ^ [_131791, _131793, _131795, _131797] : [-(min_precedes(_131793, _131791, _131797)), -(min_precedes(_131791, _131793, _131797)), -(_131793 = _131791), occurrence_of(_131795, _131797), arboreal(_131793), arboreal(_131791), subactivity_occurrence(_131793, _131795), subactivity_occurrence(_131791, _131795)], (345 ^ _121679) ^ [_132601, _132603] : [root(_132601, _132603), 349 ^ _121679 : [(350 ^ _121679) ^ [] : [-(subactivity(348 ^ [_132601, _132603], _132603))], (352 ^ _121679) ^ [] : [-(atocc(_132601, 348 ^ [_132601, _132603]))]]], (354 ^ _121679) ^ [_132970, _132972, _132974] : [min_precedes(_132972, _132970, _132974), 358 ^ _121679 : [(359 ^ _121679) ^ [] : [-(occurrence_of(357 ^ [_132970, _132972, _132974], _132974))], (361 ^ _121679) ^ [] : [-(subactivity_occurrence(_132972, 357 ^ [_132970, _132972, _132974]))], (363 ^ _121679) ^ [] : [-(subactivity_occurrence(_132970, 357 ^ [_132970, _132972, _132974]))]]], (365 ^ _121679) ^ [_133434, _133436] : [373 ^ _121679 : [(374 ^ _121679) ^ [] : [-(occurrence_of(372 ^ [_133434, _133436], _133434))], (376 ^ _121679) ^ [] : [-(leaf_occ(_133436, 372 ^ [_133434, _133436]))]], leaf(_133436, _133434), -(atomic(_133434))], (378 ^ _121679) ^ [_133893, _133895, _133897] : [-(_133895 = _133893), occurrence_of(_133897, _133895), occurrence_of(_133897, _133893)], (388 ^ _121679) ^ [_134216, _134218, _134220] : [395 ^ _121679 : [(396 ^ _121679) ^ [_134431] : [min_precedes(_134218, _134431, _134216)]], occurrence_of(_134220, _134216), leaf_occ(_134218, _134220)], (398 ^ _121679) ^ [_134564, _134566, _134568] : [405 ^ _121679 : [(406 ^ _121679) ^ [_134779] : [min_precedes(_134779, _134566, _134564)]], occurrence_of(_134568, _134564), root_occ(_134566, _134568)], (408 ^ _121679) ^ [_134898, _134900] : [subactivity_occurrence(_134900, _134898), 411 ^ _121679 : [(412 ^ _121679) ^ [] : [-(activity_occurrence(_134900))], (414 ^ _121679) ^ [] : [-(activity_occurrence(_134898))]]], (416 ^ _121679) ^ [_135165] : [activity_occurrence(_135165), 420 ^ _121679 : [(421 ^ _121679) ^ [] : [-(activity(419 ^ [_135165]))], (423 ^ _121679) ^ [] : [-(occurrence_of(_135165, 419 ^ [_135165]))]]], (425 ^ _121679) ^ [_135485] : [legal(_135485), -(arboreal(_135485))], (431 ^ _121679) ^ [_135714, _135716] : [atocc(_135716, _135714), 435 ^ _121679 : [(436 ^ _121679) ^ [] : [-(subactivity(_135714, 434 ^ [_135714, _135716]))], (438 ^ _121679) ^ [] : [-(atomic(434 ^ [_135714, _135716]))], (440 ^ _121679) ^ [] : [-(occurrence_of(_135716, 434 ^ [_135714, _135716]))]]], (442 ^ _121679) ^ [_136105, _136107] : [-(atocc(_136107, _136105)), 443 ^ _121679 : [(444 ^ _121679) ^ [_136202] : [subactivity(_136105, _136202), atomic(_136202), occurrence_of(_136107, _136202)]]], (456 ^ _121679) ^ [_136594, _136596] : [leaf(_136596, _136594), 459 ^ _121679 : [(467 ^ _121679) ^ [_136934] : [min_precedes(_136596, _136934, _136594)], (460 ^ _121679) ^ [] : [-(root(_136596, _136594)), -(min_precedes(463 ^ [_136594, _136596], _136596, _136594))]]], (469 ^ _121679) ^ [_137005, _137007] : [-(leaf(_137007, _137005)), 472 ^ _121679 : [(473 ^ _121679) ^ [] : [root(_137007, _137005)], (475 ^ _121679) ^ [_137195] : [min_precedes(_137195, _137007, _137005)]], -(min_precedes(_137007, 476 ^ [_137005, _137007], _137005))], (482 ^ _121679) ^ [_137466, _137468] : [occurrence_of(_137468, _137466), 485 ^ _121679 : [(486 ^ _121679) ^ [] : [arboreal(_137468), -(atomic(_137466))], (492 ^ _121679) ^ [] : [atomic(_137466), -(arboreal(_137468))]]], (498 ^ _121679) ^ [_137920, _137922] : [root(_137922, _137920), -(legal(_137922))], (504 ^ _121679) ^ [_138157, _138159] : [leaf_occ(_138159, _138157), 508 ^ _121679 : [(509 ^ _121679) ^ [] : [-(occurrence_of(_138157, 507 ^ [_138157, _138159]))], (511 ^ _121679) ^ [] : [-(subactivity_occurrence(_138159, _138157))], (513 ^ _121679) ^ [] : [-(leaf(_138159, 507 ^ [_138157, _138159]))]]], (515 ^ _121679) ^ [_138544, _138546] : [-(leaf_occ(_138546, _138544)), 516 ^ _121679 : [(517 ^ _121679) ^ [_138642] : [occurrence_of(_138544, _138642), subactivity_occurrence(_138546, _138544), leaf(_138546, _138642)]]], (529 ^ _121679) ^ [_139036, _139038] : [root_occ(_139038, _139036), 533 ^ _121679 : [(534 ^ _121679) ^ [] : [-(occurrence_of(_139036, 532 ^ [_139036, _139038]))], (536 ^ _121679) ^ [] : [-(subactivity_occurrence(_139038, _139036))], (538 ^ _121679) ^ [] : [-(root(_139038, 532 ^ [_139036, _139038]))]]], (540 ^ _121679) ^ [_139423, _139425] : [-(root_occ(_139425, _139423)), 541 ^ _121679 : [(542 ^ _121679) ^ [_139521] : [occurrence_of(_139423, _139521), subactivity_occurrence(_139425, _139423), root(_139425, _139521)]]], (554 ^ _121679) ^ [_139886, _139888] : [earlier(_139888, _139886), earlier(_139886, _139888)], (560 ^ _121679) ^ [_140126, _140128] : [precedes(_140128, _140126), 563 ^ _121679 : [(564 ^ _121679) ^ [] : [-(earlier(_140128, _140126))], (566 ^ _121679) ^ [] : [-(legal(_140126))]]], (568 ^ _121679) ^ [_140361, _140363] : [-(precedes(_140363, _140361)), earlier(_140363, _140361), legal(_140361)], (578 ^ _121679) ^ [_140674, _140676, _140678] : [min_precedes(_140678, _140676, _140674), root(_140676, _140674)], (584 ^ _121679) ^ [_140907, _140909, _140911] : [min_precedes(_140911, _140909, _140907), 588 ^ _121679 : [(589 ^ _121679) ^ [] : [-(root(587 ^ [_140907, _140909, _140911], _140907))], (591 ^ _121679) ^ [] : [-(min_precedes(587 ^ [_140907, _140909, _140911], _140909, _140907))]]], (593 ^ _121679) ^ [_141297, _141299, _141301] : [min_precedes(_141301, _141299, _141297), -(precedes(_141301, _141299))], (599 ^ _121679) ^ [_141529, _141531, _141533] : [next_subocc(_141533, _141531, _141529), 602 ^ _121679 : [(603 ^ _121679) ^ [] : [-(arboreal(_141533))], (605 ^ _121679) ^ [] : [-(arboreal(_141531))]]], (607 ^ _121679) ^ [_141863, _141865, _141867] : [next_subocc(_141867, _141865, _141863), 610 ^ _121679 : [(611 ^ _121679) ^ [] : [-(min_precedes(_141867, _141865, _141863))], (613 ^ _121679) ^ [_142086] : [min_precedes(_141867, _142086, _141863), min_precedes(_142086, _141865, _141863)]]], (619 ^ _121679) ^ [_142276, _142278, _142280] : [-(next_subocc(_142280, _142278, _142276)), min_precedes(_142280, _142278, _142276), 625 ^ _121679 : [(626 ^ _121679) ^ [] : [-(min_precedes(_142280, 624 ^ [_142276, _142278, _142280], _142276))], (628 ^ _121679) ^ [] : [-(min_precedes(624 ^ [_142276, _142278, _142280], _142278, _142276))]]], (632 ^ _121679) ^ [_142783, _142785, _142787, _142789] : [-(subactivity_occurrence(_142789, _142783)), min_precedes(_142789, _142787, _142785), occurrence_of(_142783, _142785), subactivity_occurrence(_142787, _142783)], (646 ^ _121679) ^ [_143229, _143231, _143233, _143235] : [-(_143235 = _143233), occurrence_of(_143231, _143229), -(atomic(_143229)), leaf_occ(_143235, _143231), leaf_occ(_143233, _143231)], (664 ^ _121679) ^ [_143771, _143773, _143775, _143777] : [-(_143777 = _143775), occurrence_of(_143773, _143771), root_occ(_143777, _143773), root_occ(_143775, _143773)], (678 ^ _121679) ^ [_144201, _144203, _144205] : [-(earlier(_144205, _144201)), earlier(_144205, _144203), earlier(_144203, _144201)], (727 ^ _121679) ^ [] : [-(activity(tptp0))], (729 ^ _121679) ^ [] : [atomic(tptp0)], (731 ^ _121679) ^ [] : [-(atomic(tptp4))], (733 ^ _121679) ^ [] : [-(atomic(tptp2))], (735 ^ _121679) ^ [] : [-(atomic(tptp1))], (737 ^ _121679) ^ [] : [-(atomic(tptp3))], (739 ^ _121679) ^ [] : [tptp4 = tptp3], (741 ^ _121679) ^ [] : [tptp4 = tptp2], (743 ^ _121679) ^ [] : [tptp4 = tptp1], (745 ^ _121679) ^ [] : [tptp3 = tptp2], (747 ^ _121679) ^ [] : [tptp3 = tptp1], (749 ^ _121679) ^ [] : [tptp2 = tptp1], (702 ^ _121679) ^ [_144946] : [occurrence_of(_144946, tptp0), 708 ^ _121679 : [(709 ^ _121679) ^ [] : [-(occurrence_of(705 ^ [_144946], tptp3))], (711 ^ _121679) ^ [] : [-(root_occ(705 ^ [_144946], _144946))], (713 ^ _121679) ^ [] : [-(occurrence_of(706 ^ [_144946], tptp4))], (715 ^ _121679) ^ [] : [-(next_subocc(705 ^ [_144946], 706 ^ [_144946], tptp0))], (723 ^ _121679) ^ [] : [-(next_subocc(706 ^ [_144946], 707 ^ [_144946], tptp0))], (725 ^ _121679) ^ [] : [-(leaf_occ(707 ^ [_144946], _144946))], (717 ^ _121679) ^ [] : [-(occurrence_of(707 ^ [_144946], tptp2)), -(occurrence_of(707 ^ [_144946], tptp1))]]], (688 ^ _121679) ^ [_144538, _144540, _144542, _144544] : [-(min_precedes(_144542, _144540, _144538)), min_precedes(_144544, _144542, _144538), min_precedes(_144544, _144540, _144538), precedes(_144542, _144540)]], input).
% 5.03/5.51  ncf('1',plain,[occurrence_of(705 ^ [750 ^ []], tptp3), root_occ(705 ^ [750 ^ []], 750 ^ []), 764 : occurrence_of(707 ^ [750 ^ []], tptp2), 764 : min_precedes(705 ^ [750 ^ []], 707 ^ [750 ^ []], tptp0), 764 : leaf_occ(707 ^ [750 ^ []], 750 ^ [])],start(754 ^ 0,bind([[_147066, _147068], [707 ^ [750 ^ []], 705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.1',plain,[-(occurrence_of(705 ^ [750 ^ []], tptp3)), occurrence_of(750 ^ [], tptp0)],extension(702 ^ 1,bind([[_144946], [750 ^ []]]))).
% 5.03/5.51  ncf('1.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 2)).
% 5.03/5.51  ncf('1.2',plain,[-(root_occ(705 ^ [750 ^ []], 750 ^ [])), root_occ(705 ^ [750 ^ []], 750 ^ []), 705 ^ [750 ^ []] = 705 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(186 ^ 1,bind([[_127647, _127649, _127651, _127653], [750 ^ [], 750 ^ [], 705 ^ [750 ^ []], 705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.2.1',plain,[-(root_occ(705 ^ [750 ^ []], 750 ^ [])), root_occ(705 ^ [750 ^ []], 750 ^ []), 705 ^ [750 ^ []] = 705 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(186 ^ 2,bind([[_127647, _127649, _127651, _127653], [750 ^ [], 750 ^ [], 705 ^ [750 ^ []], 705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.2.1.1',plain,[-(root_occ(705 ^ [750 ^ []], 750 ^ [])), root_occ(705 ^ [750 ^ []], 750 ^ []), 705 ^ [750 ^ []] = 705 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(186 ^ 3,bind([[_127647, _127649, _127651, _127653], [750 ^ [], 750 ^ [], 705 ^ [750 ^ []], 705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.2.1.1.1',plain,[-(root_occ(705 ^ [750 ^ []], 750 ^ [])), root_occ(705 ^ [750 ^ []], 750 ^ []), 705 ^ [750 ^ []] = 705 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(186 ^ 4,bind([[_127647, _127649, _127651, _127653], [750 ^ [], 750 ^ [], 705 ^ [750 ^ []], 705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.2.1.1.1.1',plain,[-(root_occ(705 ^ [750 ^ []], 750 ^ [])), occurrence_of(750 ^ [], tptp0)],extension(702 ^ 5,bind([[_144946], [750 ^ []]]))).
% 5.03/5.51  ncf('1.2.1.1.1.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 6)).
% 5.03/5.51  ncf('1.2.1.1.1.2',plain,[-(705 ^ [750 ^ []] = 705 ^ [750 ^ []])],extension(2 ^ 5,bind([[_121803], [705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.2.1.1.1.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 5,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.2.1.1.2',plain,[-(705 ^ [750 ^ []] = 705 ^ [750 ^ []])],extension(2 ^ 4,bind([[_121803], [705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.2.1.1.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 4,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.2.1.2',plain,[-(705 ^ [750 ^ []] = 705 ^ [750 ^ []])],extension(2 ^ 3,bind([[_121803], [705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.2.1.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 3,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.2.2',plain,[-(705 ^ [750 ^ []] = 705 ^ [750 ^ []])],extension(2 ^ 2,bind([[_121803], [705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.2.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 2,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.3',plain,[-(occurrence_of(707 ^ [750 ^ []], tptp2)), 717 : -(occurrence_of(707 ^ [750 ^ []], tptp1)), 717 : occurrence_of(750 ^ [], tptp0)],extension(702 ^ 3,bind([[_144946], [750 ^ []]]))).
% 5.03/5.51  ncf('1.3.1',plain,[occurrence_of(707 ^ [750 ^ []], tptp1)],extension(766 ^ 6)).
% 5.03/5.51  ncf('1.3.2',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 4)).
% 5.03/5.51  ncf('1.4',plain,[-(min_precedes(705 ^ [750 ^ []], 707 ^ [750 ^ []], tptp0)), -(707 ^ [750 ^ []] = 705 ^ [750 ^ []]), occurrence_of(750 ^ [], tptp0), subactivity_occurrence(705 ^ [750 ^ []], 750 ^ []), leaf_occ(707 ^ [750 ^ []], 750 ^ []), arboreal(705 ^ [750 ^ []])],extension(285 ^ 1,bind([[_130869, _130871, _130873, _130875], [707 ^ [750 ^ []], 705 ^ [750 ^ []], 750 ^ [], tptp0]]))).
% 5.03/5.51  ncf('1.4.1',plain,[707 ^ [750 ^ []] = 705 ^ [750 ^ []], -(leaf(705 ^ [750 ^ []], tptp0)), leaf(707 ^ [750 ^ []], 507 ^ [750 ^ [], 707 ^ [750 ^ []]]), 507 ^ [750 ^ [], 707 ^ [750 ^ []]] = tptp0],extension(58 ^ 2,bind([[_123638, _123640, _123642, _123644], [tptp0, 507 ^ [750 ^ [], 707 ^ [750 ^ []]], 705 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.1.1',plain,[leaf(705 ^ [750 ^ []], tptp0), 467 : min_precedes(705 ^ [750 ^ []], 706 ^ [750 ^ []], tptp0)],extension(456 ^ 3,bind([[_136594, _136596, _136934], [tptp0, 705 ^ [750 ^ []], 706 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.1.1.1',plain,[-(min_precedes(705 ^ [750 ^ []], 706 ^ [750 ^ []], tptp0)), next_subocc(705 ^ [750 ^ []], 706 ^ [750 ^ []], tptp0)],extension(607 ^ 6,bind([[_141863, _141865, _141867], [tptp0, 706 ^ [750 ^ []], 705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.1.1.1.1',plain,[-(next_subocc(705 ^ [750 ^ []], 706 ^ [750 ^ []], tptp0)), occurrence_of(750 ^ [], tptp0)],extension(702 ^ 7,bind([[_144946], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.1.1.1.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 8)).
% 5.03/5.51  ncf('1.4.1.2',plain,[-(leaf(707 ^ [750 ^ []], 507 ^ [750 ^ [], 707 ^ [750 ^ []]])), leaf(707 ^ [750 ^ []], 507 ^ [750 ^ [], 707 ^ [750 ^ []]]), 707 ^ [750 ^ []] = 707 ^ [750 ^ []], 507 ^ [750 ^ [], 707 ^ [750 ^ []]] = 507 ^ [750 ^ [], 707 ^ [750 ^ []]]],extension(58 ^ 3,bind([[_123638, _123640, _123642, _123644], [507 ^ [750 ^ [], 707 ^ [750 ^ []]], 507 ^ [750 ^ [], 707 ^ [750 ^ []]], 707 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.1.2.1',plain,[-(leaf(707 ^ [750 ^ []], 507 ^ [750 ^ [], 707 ^ [750 ^ []]])), leaf_occ(707 ^ [750 ^ []], 750 ^ [])],extension(504 ^ 4,bind([[_138157, _138159], [750 ^ [], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.1.2.1.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), occurrence_of(750 ^ [], tptp0)],extension(702 ^ 5,bind([[_144946], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.1.2.1.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 6)).
% 5.03/5.51  ncf('1.4.1.2.2',plain,[-(707 ^ [750 ^ []] = 707 ^ [750 ^ []])],extension(2 ^ 4,bind([[_121803], [707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.1.2.3',plain,[-(507 ^ [750 ^ [], 707 ^ [750 ^ []]] = 507 ^ [750 ^ [], 707 ^ [750 ^ []]])],extension(2 ^ 4,bind([[_121803], [507 ^ [750 ^ [], 707 ^ [750 ^ []]]]]))).
% 5.03/5.51  ncf('1.4.1.3',plain,[-(507 ^ [750 ^ [], 707 ^ [750 ^ []]] = tptp0), occurrence_of(750 ^ [], 507 ^ [750 ^ [], 707 ^ [750 ^ []]]), occurrence_of(750 ^ [], tptp0)],extension(378 ^ 3,bind([[_133893, _133895, _133897], [tptp0, 507 ^ [750 ^ [], 707 ^ [750 ^ []]], 750 ^ []]]))).
% 5.03/5.51  ncf('1.4.1.3.1',plain,[-(occurrence_of(750 ^ [], 507 ^ [750 ^ [], 707 ^ [750 ^ []]])), leaf_occ(707 ^ [750 ^ []], 750 ^ [])],extension(504 ^ 4,bind([[_138157, _138159], [750 ^ [], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.1.3.1.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), occurrence_of(750 ^ [], tptp0)],extension(702 ^ 5,bind([[_144946], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.1.3.1.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 6)).
% 5.03/5.51  ncf('1.4.1.3.2',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 4)).
% 5.03/5.51  ncf('1.4.2',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 2)).
% 5.03/5.51  ncf('1.4.3',plain,[-(subactivity_occurrence(705 ^ [750 ^ []], 750 ^ [])), subactivity_occurrence(253 ^ [750 ^ [], tptp0], 750 ^ []), 253 ^ [750 ^ [], tptp0] = 705 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(106 ^ 2,bind([[_125116, _125118, _125120, _125122], [750 ^ [], 750 ^ [], 705 ^ [750 ^ []], 253 ^ [750 ^ [], tptp0]]]))).
% 5.03/5.51  ncf('1.4.3.1',plain,[-(subactivity_occurrence(253 ^ [750 ^ [], tptp0], 750 ^ [])), subactivity_occurrence(253 ^ [750 ^ [], tptp0], 750 ^ []), 253 ^ [750 ^ [], tptp0] = 253 ^ [750 ^ [], tptp0], 750 ^ [] = 750 ^ []],extension(106 ^ 3,bind([[_125116, _125118, _125120, _125122], [750 ^ [], 750 ^ [], 253 ^ [750 ^ [], tptp0], 253 ^ [750 ^ [], tptp0]]]))).
% 5.03/5.51  ncf('1.4.3.1.1',plain,[-(subactivity_occurrence(253 ^ [750 ^ [], tptp0], 750 ^ [])), subactivity_occurrence(253 ^ [750 ^ [], tptp0], 750 ^ []), 253 ^ [750 ^ [], tptp0] = 253 ^ [750 ^ [], tptp0], 750 ^ [] = 750 ^ []],extension(106 ^ 4,bind([[_125116, _125118, _125120, _125122], [750 ^ [], 750 ^ [], 253 ^ [750 ^ [], tptp0], 253 ^ [750 ^ [], tptp0]]]))).
% 5.03/5.51  ncf('1.4.3.1.1.1',plain,[-(subactivity_occurrence(253 ^ [750 ^ [], tptp0], 750 ^ [])), occurrence_of(750 ^ [], tptp0), -(atomic(tptp0))],extension(246 ^ 5,bind([[_129614, _129616], [750 ^ [], tptp0]]))).
% 5.03/5.51  ncf('1.4.3.1.1.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 6)).
% 5.03/5.51  ncf('1.4.3.1.1.1.2',plain,[atomic(tptp0)],extension(729 ^ 6)).
% 5.03/5.51  ncf('1.4.3.1.1.2',plain,[-(253 ^ [750 ^ [], tptp0] = 253 ^ [750 ^ [], tptp0])],extension(2 ^ 5,bind([[_121803], [253 ^ [750 ^ [], tptp0]]]))).
% 5.03/5.51  ncf('1.4.3.1.1.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 5,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.3.1.2',plain,[-(253 ^ [750 ^ [], tptp0] = 253 ^ [750 ^ [], tptp0])],extension(2 ^ 4,bind([[_121803], [253 ^ [750 ^ [], tptp0]]]))).
% 5.03/5.51  ncf('1.4.3.1.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 4,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.3.2',plain,[-(253 ^ [750 ^ [], tptp0] = 705 ^ [750 ^ []]), occurrence_of(750 ^ [], tptp0), root_occ(253 ^ [750 ^ [], tptp0], 750 ^ []), root_occ(705 ^ [750 ^ []], 750 ^ [])],extension(664 ^ 3,bind([[_143771, _143773, _143775, _143777], [tptp0, 750 ^ [], 705 ^ [750 ^ []], 253 ^ [750 ^ [], tptp0]]]))).
% 5.03/5.51  ncf('1.4.3.2.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 4)).
% 5.03/5.51  ncf('1.4.3.2.2',plain,[-(root_occ(253 ^ [750 ^ [], tptp0], 750 ^ [])), 542 : occurrence_of(750 ^ [], tptp0), 542 : subactivity_occurrence(253 ^ [750 ^ [], tptp0], 750 ^ []), 542 : root(253 ^ [750 ^ [], tptp0], tptp0)],extension(540 ^ 4,bind([[_139423, _139425, _139521], [750 ^ [], 253 ^ [750 ^ [], tptp0], tptp0]]))).
% 5.03/5.51  ncf('1.4.3.2.2.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 7)).
% 5.03/5.51  ncf('1.4.3.2.2.2',plain,[-(subactivity_occurrence(253 ^ [750 ^ [], tptp0], 750 ^ []))],lemmata('[4, 1].x')).
% 5.03/5.51  ncf('1.4.3.2.2.3',plain,[-(root(253 ^ [750 ^ [], tptp0], tptp0)), occurrence_of(750 ^ [], tptp0), -(atomic(tptp0))],extension(246 ^ 7,bind([[_129614, _129616], [750 ^ [], tptp0]]))).
% 5.03/5.51  ncf('1.4.3.2.2.3.1',plain,[-(occurrence_of(750 ^ [], tptp0))],lemmata('[2, 3, 4, 1].x')).
% 5.03/5.51  ncf('1.4.3.2.2.3.2',plain,[atomic(tptp0)],extension(729 ^ 8)).
% 5.03/5.51  ncf('1.4.3.2.3',plain,[-(root_occ(705 ^ [750 ^ []], 750 ^ []))],lemmata('x')).
% 5.03/5.51  ncf('1.4.3.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 3,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.4',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), leaf_occ(707 ^ [750 ^ []], 750 ^ []), 707 ^ [750 ^ []] = 707 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(232 ^ 2,bind([[_129124, _129126, _129128, _129130], [750 ^ [], 750 ^ [], 707 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.4.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), leaf_occ(707 ^ [750 ^ []], 750 ^ []), 707 ^ [750 ^ []] = 707 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(232 ^ 3,bind([[_129124, _129126, _129128, _129130], [750 ^ [], 750 ^ [], 707 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.4.1.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), leaf_occ(707 ^ [750 ^ []], 750 ^ []), 707 ^ [750 ^ []] = 707 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(232 ^ 4,bind([[_129124, _129126, _129128, _129130], [750 ^ [], 750 ^ [], 707 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.4.1.1.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), occurrence_of(750 ^ [], tptp0)],extension(702 ^ 5,bind([[_144946], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.4.1.1.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 6)).
% 5.03/5.51  ncf('1.4.4.1.1.2',plain,[-(707 ^ [750 ^ []] = 707 ^ [750 ^ []])],extension(2 ^ 5,bind([[_121803], [707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.4.1.1.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 5,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.4.1.2',plain,[-(707 ^ [750 ^ []] = 707 ^ [750 ^ []])],extension(2 ^ 4,bind([[_121803], [707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.4.1.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 4,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.4.2',plain,[-(707 ^ [750 ^ []] = 707 ^ [750 ^ []])],extension(2 ^ 3,bind([[_121803], [707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.4.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 3,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.5',plain,[-(arboreal(705 ^ [750 ^ []])), legal(705 ^ [750 ^ []])],extension(425 ^ 2,bind([[_135485], [705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.5.1',plain,[-(legal(705 ^ [750 ^ []])), root(705 ^ [750 ^ []], 532 ^ [750 ^ [], 705 ^ [750 ^ []]])],extension(498 ^ 3,bind([[_137920, _137922], [532 ^ [750 ^ [], 705 ^ [750 ^ []]], 705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.5.1.1',plain,[-(root(705 ^ [750 ^ []], 532 ^ [750 ^ [], 705 ^ [750 ^ []]])), root_occ(705 ^ [750 ^ []], 750 ^ [])],extension(529 ^ 4,bind([[_139036, _139038], [750 ^ [], 705 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.4.5.1.1.1',plain,[-(root_occ(705 ^ [750 ^ []], 750 ^ [])), occurrence_of(750 ^ [], tptp0)],extension(702 ^ 5,bind([[_144946], [750 ^ []]]))).
% 5.03/5.51  ncf('1.4.5.1.1.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],lemmata('[1].x')).
% 5.03/5.51  ncf('1.5',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), leaf_occ(707 ^ [750 ^ []], 750 ^ []), 707 ^ [750 ^ []] = 707 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(232 ^ 1,bind([[_129124, _129126, _129128, _129130], [750 ^ [], 750 ^ [], 707 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.5.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), leaf_occ(707 ^ [750 ^ []], 750 ^ []), 707 ^ [750 ^ []] = 707 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(232 ^ 2,bind([[_129124, _129126, _129128, _129130], [750 ^ [], 750 ^ [], 707 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.5.1.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), leaf_occ(707 ^ [750 ^ []], 750 ^ []), 707 ^ [750 ^ []] = 707 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(232 ^ 3,bind([[_129124, _129126, _129128, _129130], [750 ^ [], 750 ^ [], 707 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.5.1.1.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), leaf_occ(707 ^ [750 ^ []], 750 ^ []), 707 ^ [750 ^ []] = 707 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(232 ^ 4,bind([[_129124, _129126, _129128, _129130], [750 ^ [], 750 ^ [], 707 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.5.1.1.1.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), occurrence_of(750 ^ [], tptp0)],extension(702 ^ 5,bind([[_144946], [750 ^ []]]))).
% 5.03/5.51  ncf('1.5.1.1.1.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 6)).
% 5.03/5.51  ncf('1.5.1.1.1.2',plain,[-(707 ^ [750 ^ []] = 707 ^ [750 ^ []])],extension(2 ^ 5,bind([[_121803], [707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.5.1.1.1.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 5,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.5.1.1.2',plain,[-(707 ^ [750 ^ []] = 707 ^ [750 ^ []])],extension(2 ^ 4,bind([[_121803], [707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.5.1.1.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 4,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.5.1.2',plain,[-(707 ^ [750 ^ []] = 707 ^ [750 ^ []])],extension(2 ^ 3,bind([[_121803], [707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.5.1.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 3,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  ncf('1.5.2',plain,[-(707 ^ [750 ^ []] = 707 ^ [750 ^ []])],extension(2 ^ 2,bind([[_121803], [707 ^ [750 ^ []]]]))).
% 5.03/5.51  ncf('1.5.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 2,bind([[_121803], [750 ^ []]]))).
% 5.03/5.51  %-----------------------------------------------------
% 5.03/5.51  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------