TSTP Solution File: PRO011+4 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : PRO011+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 11:47:19 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PRO011+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri May 19 01:33:27 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(752 ^ _108962) ^ [] : [-(occurrence_of(750 ^ [], tptp0))], (754 ^ _108962) ^ [_134382, _134384] : [leaf_occ(_134382, 750 ^ []), 759 ^ _108962 : [(760 ^ _108962) ^ [] : [-(occurrence_of(_134382, tptp1))], (763 ^ _108962) ^ [] : [-(occurrence_of(761 ^ [_134382, _134384], tptp2))], (765 ^ _108962) ^ [] : [-(subactivity_occurrence(761 ^ [_134382, _134384], 750 ^ []))], (767 ^ _108962) ^ [] : [-(min_precedes(_134384, 761 ^ [_134382, _134384], tptp0))]], 768 ^ _108962 : [(769 ^ _108962) ^ [] : [-(occurrence_of(_134382, tptp2))], (772 ^ _108962) ^ [] : [-(occurrence_of(770 ^ [_134382, _134384], tptp1))], (774 ^ _108962) ^ [] : [-(subactivity_occurrence(770 ^ [_134382, _134384], 750 ^ []))], (776 ^ _108962) ^ [] : [-(min_precedes(_134384, 770 ^ [_134382, _134384], tptp0))]]], (2 ^ _108962) ^ [_109086] : [-(_109086 = _109086)], (4 ^ _108962) ^ [_109193, _109195] : [_109195 = _109193, -(_109193 = _109195)], (10 ^ _108962) ^ [_109397, _109399, _109401] : [-(_109401 = _109397), _109401 = _109399, _109399 = _109397], (20 ^ _108962) ^ [_109710, _109712] : [-(activity_occurrence(_109710)), _109712 = _109710, activity_occurrence(_109712)], (30 ^ _108962) ^ [_110033, _110035, _110037, _110039] : [-(atocc(_110037, _110033)), atocc(_110039, _110035), _110039 = _110037, _110035 = _110033], (44 ^ _108962) ^ [_110477, _110479, _110481, _110483] : [-(subactivity(_110481, _110477)), subactivity(_110483, _110479), _110483 = _110481, _110479 = _110477], (58 ^ _108962) ^ [_110921, _110923, _110925, _110927] : [-(leaf(_110925, _110921)), leaf(_110927, _110923), _110927 = _110925, _110923 = _110921], (72 ^ _108962) ^ [_111337, _111339] : [-(legal(_111337)), _111339 = _111337, legal(_111339)], (82 ^ _108962) ^ [_111660, _111662, _111664, _111666] : [-(root(_111664, _111660)), root(_111666, _111662), _111666 = _111664, _111662 = _111660], (96 ^ _108962) ^ [_112076, _112078] : [-(arboreal(_112076)), _112078 = _112076, arboreal(_112078)], (106 ^ _108962) ^ [_112399, _112401, _112403, _112405] : [-(earlier(_112403, _112399)), earlier(_112405, _112401), _112405 = _112403, _112401 = _112399], (120 ^ _108962) ^ [_112843, _112845, _112847, _112849] : [-(precedes(_112847, _112843)), precedes(_112849, _112845), _112849 = _112847, _112845 = _112843], (134 ^ _108962) ^ [_113287, _113289, _113291, _113293] : [-(root_occ(_113291, _113287)), root_occ(_113293, _113289), _113293 = _113291, _113289 = _113287], (148 ^ _108962) ^ [_113759, _113761, _113763, _113765, _113767, _113769] : [-(next_subocc(_113767, _113763, _113759)), next_subocc(_113769, _113765, _113761), _113769 = _113767, _113765 = _113763, _113761 = _113759], (166 ^ _108962) ^ [_114312, _114314] : [-(activity(_114312)), _114314 = _114312, activity(_114314)], (176 ^ _108962) ^ [_114607, _114609] : [-(atomic(_114607)), _114609 = _114607, atomic(_114609)], (186 ^ _108962) ^ [_114930, _114932, _114934, _114936] : [-(leaf_occ(_114934, _114930)), leaf_occ(_114936, _114932), _114936 = _114934, _114932 = _114930], (200 ^ _108962) ^ [_115374, _115376, _115378, _115380] : [-(occurrence_of(_115378, _115374)), occurrence_of(_115380, _115376), _115380 = _115378, _115376 = _115374], (214 ^ _108962) ^ [_115818, _115820, _115822, _115824] : [-(subactivity_occurrence(_115822, _115818)), subactivity_occurrence(_115824, _115820), _115824 = _115822, _115820 = _115818], (228 ^ _108962) ^ [_116270, _116272, _116274, _116276, _116278, _116280] : [-(min_precedes(_116278, _116274, _116270)), min_precedes(_116280, _116276, _116272), _116280 = _116278, _116276 = _116274, _116272 = _116270], (246 ^ _108962) ^ [_116897, _116899] : [254 ^ _108962 : [(255 ^ _108962) ^ [] : [-(root(253 ^ [_116897, _116899], _116899))], (257 ^ _108962) ^ [] : [-(subactivity_occurrence(253 ^ [_116897, _116899], _116897))]], occurrence_of(_116897, _116899), -(atomic(_116899))], (259 ^ _108962) ^ [_117384, _117386, _117388, _117390, _117392] : [-(min_precedes(_117388, _117384, _117392)), occurrence_of(_117390, _117392), root_occ(_117386, _117390), leaf_occ(_117384, _117390), subactivity_occurrence(_117388, _117390), min_precedes(_117386, _117388, _117392), -(_117388 = _117384)], (285 ^ _108962) ^ [_118152, _118154, _118156, _118158] : [-(_118152 = _118154), occurrence_of(_118156, _118158), subactivity_occurrence(_118154, _118156), leaf_occ(_118152, _118156), arboreal(_118154), -(min_precedes(_118154, _118152, _118158))], (307 ^ _108962) ^ [_118765, _118767] : [occurrence_of(_118765, _118767), 310 ^ _108962 : [(311 ^ _108962) ^ [] : [-(activity(_118767))], (313 ^ _108962) ^ [] : [-(activity_occurrence(_118765))]]], (315 ^ _108962) ^ [_119074, _119076, _119078, _119080] : [-(min_precedes(_119076, _119074, _119080)), -(min_precedes(_119074, _119076, _119080)), -(_119076 = _119074), occurrence_of(_119078, _119080), arboreal(_119076), arboreal(_119074), subactivity_occurrence(_119076, _119078), subactivity_occurrence(_119074, _119078)], (345 ^ _108962) ^ [_119884, _119886] : [root(_119884, _119886), 349 ^ _108962 : [(350 ^ _108962) ^ [] : [-(subactivity(348 ^ [_119884, _119886], _119886))], (352 ^ _108962) ^ [] : [-(atocc(_119884, 348 ^ [_119884, _119886]))]]], (354 ^ _108962) ^ [_120253, _120255, _120257] : [min_precedes(_120255, _120253, _120257), 358 ^ _108962 : [(359 ^ _108962) ^ [] : [-(occurrence_of(357 ^ [_120253, _120255, _120257], _120257))], (361 ^ _108962) ^ [] : [-(subactivity_occurrence(_120255, 357 ^ [_120253, _120255, _120257]))], (363 ^ _108962) ^ [] : [-(subactivity_occurrence(_120253, 357 ^ [_120253, _120255, _120257]))]]], (365 ^ _108962) ^ [_120717, _120719] : [373 ^ _108962 : [(374 ^ _108962) ^ [] : [-(occurrence_of(372 ^ [_120717, _120719], _120717))], (376 ^ _108962) ^ [] : [-(leaf_occ(_120719, 372 ^ [_120717, _120719]))]], leaf(_120719, _120717), -(atomic(_120717))], (378 ^ _108962) ^ [_121176, _121178, _121180] : [-(_121178 = _121176), occurrence_of(_121180, _121178), occurrence_of(_121180, _121176)], (388 ^ _108962) ^ [_121499, _121501, _121503] : [395 ^ _108962 : [(396 ^ _108962) ^ [_121714] : [min_precedes(_121501, _121714, _121499)]], occurrence_of(_121503, _121499), leaf_occ(_121501, _121503)], (398 ^ _108962) ^ [_121847, _121849, _121851] : [405 ^ _108962 : [(406 ^ _108962) ^ [_122062] : [min_precedes(_122062, _121849, _121847)]], occurrence_of(_121851, _121847), root_occ(_121849, _121851)], (408 ^ _108962) ^ [_122181, _122183] : [subactivity_occurrence(_122183, _122181), 411 ^ _108962 : [(412 ^ _108962) ^ [] : [-(activity_occurrence(_122183))], (414 ^ _108962) ^ [] : [-(activity_occurrence(_122181))]]], (416 ^ _108962) ^ [_122448] : [activity_occurrence(_122448), 420 ^ _108962 : [(421 ^ _108962) ^ [] : [-(activity(419 ^ [_122448]))], (423 ^ _108962) ^ [] : [-(occurrence_of(_122448, 419 ^ [_122448]))]]], (425 ^ _108962) ^ [_122768] : [legal(_122768), -(arboreal(_122768))], (431 ^ _108962) ^ [_122997, _122999] : [atocc(_122999, _122997), 435 ^ _108962 : [(436 ^ _108962) ^ [] : [-(subactivity(_122997, 434 ^ [_122997, _122999]))], (438 ^ _108962) ^ [] : [-(atomic(434 ^ [_122997, _122999]))], (440 ^ _108962) ^ [] : [-(occurrence_of(_122999, 434 ^ [_122997, _122999]))]]], (442 ^ _108962) ^ [_123388, _123390] : [-(atocc(_123390, _123388)), 443 ^ _108962 : [(444 ^ _108962) ^ [_123485] : [subactivity(_123388, _123485), atomic(_123485), occurrence_of(_123390, _123485)]]], (456 ^ _108962) ^ [_123877, _123879] : [leaf(_123879, _123877), 459 ^ _108962 : [(467 ^ _108962) ^ [_124217] : [min_precedes(_123879, _124217, _123877)], (460 ^ _108962) ^ [] : [-(root(_123879, _123877)), -(min_precedes(463 ^ [_123877, _123879], _123879, _123877))]]], (469 ^ _108962) ^ [_124288, _124290] : [-(leaf(_124290, _124288)), 472 ^ _108962 : [(473 ^ _108962) ^ [] : [root(_124290, _124288)], (475 ^ _108962) ^ [_124478] : [min_precedes(_124478, _124290, _124288)]], -(min_precedes(_124290, 476 ^ [_124288, _124290], _124288))], (482 ^ _108962) ^ [_124749, _124751] : [occurrence_of(_124751, _124749), 485 ^ _108962 : [(486 ^ _108962) ^ [] : [arboreal(_124751), -(atomic(_124749))], (492 ^ _108962) ^ [] : [atomic(_124749), -(arboreal(_124751))]]], (498 ^ _108962) ^ [_125203, _125205] : [root(_125205, _125203), -(legal(_125205))], (504 ^ _108962) ^ [_125440, _125442] : [leaf_occ(_125442, _125440), 508 ^ _108962 : [(509 ^ _108962) ^ [] : [-(occurrence_of(_125440, 507 ^ [_125440, _125442]))], (511 ^ _108962) ^ [] : [-(subactivity_occurrence(_125442, _125440))], (513 ^ _108962) ^ [] : [-(leaf(_125442, 507 ^ [_125440, _125442]))]]], (515 ^ _108962) ^ [_125827, _125829] : [-(leaf_occ(_125829, _125827)), 516 ^ _108962 : [(517 ^ _108962) ^ [_125925] : [occurrence_of(_125827, _125925), subactivity_occurrence(_125829, _125827), leaf(_125829, _125925)]]], (529 ^ _108962) ^ [_126319, _126321] : [root_occ(_126321, _126319), 533 ^ _108962 : [(534 ^ _108962) ^ [] : [-(occurrence_of(_126319, 532 ^ [_126319, _126321]))], (536 ^ _108962) ^ [] : [-(subactivity_occurrence(_126321, _126319))], (538 ^ _108962) ^ [] : [-(root(_126321, 532 ^ [_126319, _126321]))]]], (540 ^ _108962) ^ [_126706, _126708] : [-(root_occ(_126708, _126706)), 541 ^ _108962 : [(542 ^ _108962) ^ [_126804] : [occurrence_of(_126706, _126804), subactivity_occurrence(_126708, _126706), root(_126708, _126804)]]], (554 ^ _108962) ^ [_127169, _127171] : [earlier(_127171, _127169), earlier(_127169, _127171)], (560 ^ _108962) ^ [_127409, _127411] : [precedes(_127411, _127409), 563 ^ _108962 : [(564 ^ _108962) ^ [] : [-(earlier(_127411, _127409))], (566 ^ _108962) ^ [] : [-(legal(_127409))]]], (568 ^ _108962) ^ [_127644, _127646] : [-(precedes(_127646, _127644)), earlier(_127646, _127644), legal(_127644)], (578 ^ _108962) ^ [_127957, _127959, _127961] : [min_precedes(_127961, _127959, _127957), root(_127959, _127957)], (584 ^ _108962) ^ [_128190, _128192, _128194] : [min_precedes(_128194, _128192, _128190), 588 ^ _108962 : [(589 ^ _108962) ^ [] : [-(root(587 ^ [_128190, _128192, _128194], _128190))], (591 ^ _108962) ^ [] : [-(min_precedes(587 ^ [_128190, _128192, _128194], _128192, _128190))]]], (593 ^ _108962) ^ [_128580, _128582, _128584] : [min_precedes(_128584, _128582, _128580), -(precedes(_128584, _128582))], (599 ^ _108962) ^ [_128812, _128814, _128816] : [next_subocc(_128816, _128814, _128812), 602 ^ _108962 : [(603 ^ _108962) ^ [] : [-(arboreal(_128816))], (605 ^ _108962) ^ [] : [-(arboreal(_128814))]]], (607 ^ _108962) ^ [_129146, _129148, _129150] : [next_subocc(_129150, _129148, _129146), 610 ^ _108962 : [(611 ^ _108962) ^ [] : [-(min_precedes(_129150, _129148, _129146))], (613 ^ _108962) ^ [_129369] : [min_precedes(_129150, _129369, _129146), min_precedes(_129369, _129148, _129146)]]], (619 ^ _108962) ^ [_129559, _129561, _129563] : [-(next_subocc(_129563, _129561, _129559)), min_precedes(_129563, _129561, _129559), 625 ^ _108962 : [(626 ^ _108962) ^ [] : [-(min_precedes(_129563, 624 ^ [_129559, _129561, _129563], _129559))], (628 ^ _108962) ^ [] : [-(min_precedes(624 ^ [_129559, _129561, _129563], _129561, _129559))]]], (632 ^ _108962) ^ [_130066, _130068, _130070, _130072] : [-(subactivity_occurrence(_130072, _130066)), min_precedes(_130072, _130070, _130068), occurrence_of(_130066, _130068), subactivity_occurrence(_130070, _130066)], (646 ^ _108962) ^ [_130512, _130514, _130516, _130518] : [-(_130518 = _130516), occurrence_of(_130514, _130512), -(atomic(_130512)), leaf_occ(_130518, _130514), leaf_occ(_130516, _130514)], (664 ^ _108962) ^ [_131054, _131056, _131058, _131060] : [-(_131060 = _131058), occurrence_of(_131056, _131054), root_occ(_131060, _131056), root_occ(_131058, _131056)], (678 ^ _108962) ^ [_131484, _131486, _131488] : [-(earlier(_131488, _131484)), earlier(_131488, _131486), earlier(_131486, _131484)], (727 ^ _108962) ^ [] : [-(activity(tptp0))], (729 ^ _108962) ^ [] : [atomic(tptp0)], (731 ^ _108962) ^ [] : [-(atomic(tptp4))], (733 ^ _108962) ^ [] : [-(atomic(tptp1))], (735 ^ _108962) ^ [] : [-(atomic(tptp2))], (737 ^ _108962) ^ [] : [-(atomic(tptp3))], (739 ^ _108962) ^ [] : [tptp4 = tptp3], (741 ^ _108962) ^ [] : [tptp4 = tptp1], (743 ^ _108962) ^ [] : [tptp4 = tptp2], (745 ^ _108962) ^ [] : [tptp3 = tptp1], (747 ^ _108962) ^ [] : [tptp3 = tptp2], (749 ^ _108962) ^ [] : [tptp1 = tptp2], (702 ^ _108962) ^ [_132229] : [occurrence_of(_132229, tptp0), 708 ^ _108962 : [(709 ^ _108962) ^ [] : [-(occurrence_of(705 ^ [_132229], tptp3))], (711 ^ _108962) ^ [] : [-(root_occ(705 ^ [_132229], _132229))], (713 ^ _108962) ^ [] : [-(occurrence_of(706 ^ [_132229], tptp4))], (715 ^ _108962) ^ [] : [-(next_subocc(705 ^ [_132229], 706 ^ [_132229], tptp0))], (723 ^ _108962) ^ [] : [-(next_subocc(706 ^ [_132229], 707 ^ [_132229], tptp0))], (725 ^ _108962) ^ [] : [-(leaf_occ(707 ^ [_132229], _132229))], (717 ^ _108962) ^ [] : [-(occurrence_of(707 ^ [_132229], tptp1)), -(occurrence_of(707 ^ [_132229], tptp2))]]], (688 ^ _108962) ^ [_131821, _131823, _131825, _131827] : [-(min_precedes(_131825, _131823, _131821)), min_precedes(_131827, _131825, _131821), min_precedes(_131827, _131823, _131821), precedes(_131825, _131823)]], input).
% 0.33/1.38  ncf('1',plain,[396 : min_precedes(707 ^ [750 ^ []], 761 ^ [707 ^ [750 ^ []], 707 ^ [750 ^ []]], tptp0), 396 : occurrence_of(750 ^ [], tptp0), 396 : leaf_occ(707 ^ [750 ^ []], 750 ^ [])],start(388 ^ 0,bind([[_121499, _121501, _121503, _121714], [tptp0, 707 ^ [750 ^ []], 750 ^ [], 761 ^ [707 ^ [750 ^ []], 707 ^ [750 ^ []]]]]))).
% 0.33/1.38  ncf('1.1',plain,[-(min_precedes(707 ^ [750 ^ []], 761 ^ [707 ^ [750 ^ []], 707 ^ [750 ^ []]], tptp0)), leaf_occ(707 ^ [750 ^ []], 750 ^ []), 776 : -(min_precedes(707 ^ [750 ^ []], 770 ^ [707 ^ [750 ^ []], 707 ^ [750 ^ []]], tptp0))],extension(754 ^ 3,bind([[_134382, _134384], [707 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), occurrence_of(750 ^ [], tptp0)],extension(702 ^ 4,bind([[_132229], [750 ^ []]]))).
% 0.33/1.38  ncf('1.1.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 5)).
% 0.33/1.38  ncf('1.1.2',plain,[min_precedes(707 ^ [750 ^ []], 770 ^ [707 ^ [750 ^ []], 707 ^ [750 ^ []]], tptp0)],extension(396 ^ 6,bind([[_121714], [770 ^ [707 ^ [750 ^ []], 707 ^ [750 ^ []]]]]))).
% 0.33/1.38  ncf('1.2',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 1)).
% 0.33/1.38  ncf('1.3',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), leaf_occ(707 ^ [750 ^ []], 750 ^ []), 707 ^ [750 ^ []] = 707 ^ [750 ^ []], 750 ^ [] = 750 ^ []],extension(186 ^ 1,bind([[_114930, _114932, _114934, _114936], [750 ^ [], 750 ^ [], 707 ^ [750 ^ []], 707 ^ [750 ^ []]]]))).
% 0.33/1.38  ncf('1.3.1',plain,[-(leaf_occ(707 ^ [750 ^ []], 750 ^ [])), occurrence_of(750 ^ [], tptp0)],extension(702 ^ 2,bind([[_132229], [750 ^ []]]))).
% 0.33/1.38  ncf('1.3.1.1',plain,[-(occurrence_of(750 ^ [], tptp0))],extension(752 ^ 3)).
% 0.33/1.38  ncf('1.3.2',plain,[-(707 ^ [750 ^ []] = 707 ^ [750 ^ []])],extension(2 ^ 2,bind([[_109086], [707 ^ [750 ^ []]]]))).
% 0.33/1.38  ncf('1.3.3',plain,[-(750 ^ [] = 750 ^ [])],extension(2 ^ 2,bind([[_109086], [750 ^ []]]))).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------