TSTP Solution File: CAT025+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : CAT025+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 10:12:48 EDT 2023

% Result   : Theorem 0.53s 1.37s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : CAT025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May 18 20:34:50 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.53/1.37  
% 0.53/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.53/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/1.37  %-----------------------------------------------------
% 0.53/1.37  ncf(matrix, plain, [(921 ^ _148686) ^ [] : [-(v2_cat_1(919 ^ []))], (923 ^ _148686) ^ [] : [-(l1_cat_1(919 ^ []))], (926 ^ _148686) ^ [] : [-(v2_cat_1(924 ^ []))], (928 ^ _148686) ^ [] : [-(l1_cat_1(924 ^ []))], (931 ^ _148686) ^ [] : [-(v2_cat_1(929 ^ []))], (933 ^ _148686) ^ [] : [-(l1_cat_1(929 ^ []))], (935 ^ _148686) ^ [] : [r1_isocat_1(k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []), k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ [])))], (226 ^ _148686) ^ [_156091, _156093] : [_156093 = _156091, -(u3_cat_1(_156093) = u3_cat_1(_156091))], (232 ^ _148686) ^ [_156309, _156311] : [_156311 = _156309, -(u4_cat_1(_156311) = u4_cat_1(_156309))], (238 ^ _148686) ^ [_156527, _156529] : [_156529 = _156527, -(u5_cat_1(_156529) = u5_cat_1(_156527))], (244 ^ _148686) ^ [_156745, _156747] : [_156747 = _156745, -(u6_cat_1(_156747) = u6_cat_1(_156745))], (250 ^ _148686) ^ [_156963, _156965] : [_156965 = _156963, -(u1_cat_1(_156965) = u1_cat_1(_156963))], (256 ^ _148686) ^ [_157181, _157183] : [_157183 = _157181, -(u2_cat_1(_157183) = u2_cat_1(_157181))], (262 ^ _148686) ^ [_157427, _157429, _157431, _157433] : [-(k2_zfmisc_1(_157433, _157429) = k2_zfmisc_1(_157431, _157427)), _157433 = _157431, _157429 = _157427], (272 ^ _148686) ^ [_157898, _157900, _157902, _157904, _157906, _157908, _157910, _157912, _157914, _157916, _157918, _157920] : [-(g1_cat_1(_157920, _157916, _157912, _157908, _157904, _157900) = g1_cat_1(_157918, _157914, _157910, _157906, _157902, _157898)), _157920 = _157918, _157916 = _157914, _157912 = _157910, _157908 = _157906, _157904 = _157902, _157900 = _157898], (298 ^ _148686) ^ [_158897, _158899, _158901, _158903, _158905, _158907] : [-(k7_isocat_2(_158907, _158903, _158899) = k7_isocat_2(_158905, _158901, _158897)), _158907 = _158905, _158903 = _158901, _158899 = _158897], (312 ^ _148686) ^ [_159357, _159359] : [_159359 = _159357, -(k1_zfmisc_1(_159359) = k1_zfmisc_1(_159357))], (318 ^ _148686) ^ [_159603, _159605, _159607, _159609] : [-(k11_cat_2(_159609, _159605) = k11_cat_2(_159607, _159603)), _159609 = _159607, _159605 = _159603], (328 ^ _148686) ^ [_159942, _159944, _159946, _159948] : [-(k12_nattra_1(_159948, _159944) = k12_nattra_1(_159946, _159942)), _159948 = _159946, _159944 = _159942], (2 ^ _148686) ^ [_148830] : [-(_148830 = _148830)], (4 ^ _148686) ^ [_148937, _148939] : [_148939 = _148937, -(_148937 = _148939)], (10 ^ _148686) ^ [_149141, _149143, _149145] : [-(_149145 = _149141), _149145 = _149143, _149143 = _149141], (20 ^ _148686) ^ [_149454, _149456] : [-(v1_relat_1(_149454)), _149456 = _149454, v1_relat_1(_149456)], (30 ^ _148686) ^ [_149749, _149751] : [-(v1_cat_1(_149749)), _149751 = _149749, v1_cat_1(_149751)], (40 ^ _148686) ^ [_150100, _150102, _150104, _150106, _150108, _150110] : [-(m2_cat_1(_150108, _150104, _150100)), m2_cat_1(_150110, _150106, _150102), _150110 = _150108, _150106 = _150104, _150102 = _150100], (58 ^ _148686) ^ [_150653, _150655] : [-(v1_funct_1(_150653)), _150655 = _150653, v1_funct_1(_150655)], (68 ^ _148686) ^ [_151004, _151006, _151008, _151010, _151012, _151014] : [-(v1_funct_2(_151012, _151008, _151004)), v1_funct_2(_151014, _151010, _151006), _151014 = _151012, _151010 = _151008, _151006 = _151004], (86 ^ _148686) ^ [_151613, _151615, _151617, _151619, _151621, _151623] : [-(m2_relset_1(_151621, _151617, _151613)), m2_relset_1(_151623, _151619, _151615), _151623 = _151621, _151619 = _151617, _151615 = _151613], (104 ^ _148686) ^ [_152222, _152224, _152226, _152228, _152230, _152232] : [-(m1_relset_1(_152230, _152226, _152222)), m1_relset_1(_152232, _152228, _152224), _152232 = _152230, _152228 = _152226, _152224 = _152222], (122 ^ _148686) ^ [_152831, _152833, _152835, _152837, _152839, _152841] : [-(v8_cat_1(_152839, _152835, _152831)), v8_cat_1(_152841, _152837, _152833), _152841 = _152839, _152837 = _152835, _152833 = _152831], (140 ^ _148686) ^ [_153412, _153414, _153416, _153418] : [-(r1_tarski(_153416, _153412)), r1_tarski(_153418, _153414), _153418 = _153416, _153414 = _153412], (154 ^ _148686) ^ [_153856, _153858, _153860, _153862] : [-(m1_subset_1(_153860, _153856)), m1_subset_1(_153862, _153858), _153862 = _153860, _153858 = _153856], (168 ^ _148686) ^ [_154300, _154302, _154304, _154306] : [-(r2_hidden(_154304, _154300)), r2_hidden(_154306, _154302), _154306 = _154304, _154302 = _154300], (182 ^ _148686) ^ [_154716, _154718] : [-(v1_xboole_0(_154716)), _154718 = _154716, v1_xboole_0(_154718)], (192 ^ _148686) ^ [_155011, _155013] : [-(v2_cat_1(_155011)), _155013 = _155011, v2_cat_1(_155013)], (202 ^ _148686) ^ [_155306, _155308] : [-(l1_cat_1(_155306)), _155308 = _155306, l1_cat_1(_155308)], (212 ^ _148686) ^ [_155609, _155611, _155613, _155615] : [-(r1_isocat_1(_155613, _155609)), r1_isocat_1(_155615, _155611), _155615 = _155613, _155611 = _155609], (338 ^ _148686) ^ [_160309] : [l1_cat_1(_160309), v1_cat_1(_160309), -(_160309 = g1_cat_1(u1_cat_1(_160309), u2_cat_1(_160309), u3_cat_1(_160309), u4_cat_1(_160309), u5_cat_1(_160309), u6_cat_1(_160309)))], (348 ^ _148686) ^ [_160632, _160634] : [r2_hidden(_160634, _160632), r2_hidden(_160632, _160634)], (354 ^ _148686) ^ [_160857, _160859, _160861] : [m1_subset_1(_160857, k1_zfmisc_1(k2_zfmisc_1(_160861, _160859))), -(v1_relat_1(_160857))], (360 ^ _148686) ^ [_161067] : [v2_cat_1(_161067), l1_cat_1(_161067), 367 ^ _148686 : [(368 ^ _148686) ^ [_161304] : [v2_cat_1(_161304), l1_cat_1(_161304), 375 ^ _148686 : [(376 ^ _148686) ^ [] : [r1_isocat_1(_161067, _161304), 380 ^ _148686 : [(381 ^ _148686) ^ [] : [-(m2_cat_1(379 ^ [_161067, _161304], _161067, _161304))], (383 ^ _148686) ^ [] : [-(v8_cat_1(379 ^ [_161067, _161304], _161067, _161304))]]], (385 ^ _148686) ^ [] : [-(r1_isocat_1(_161067, _161304)), 386 ^ _148686 : [(387 ^ _148686) ^ [_161866] : [m2_cat_1(_161866, _161067, _161304), v8_cat_1(_161866, _161067, _161304)]]]]]]], (395 ^ _148686) ^ [_162212, _162214, _162216, _162218, _162220, _162222] : [446 ^ _148686 : [(447 ^ _148686) ^ [] : [-(v1_cat_1(g1_cat_1(_162222, _162220, _162218, _162216, _162214, _162212)))], (449 ^ _148686) ^ [] : [-(l1_cat_1(g1_cat_1(_162222, _162220, _162218, _162216, _162214, _162212)))]], -(v1_xboole_0(_162222)), -(v1_xboole_0(_162220)), v1_funct_1(_162218), v1_funct_2(_162218, _162220, _162222), m1_relset_1(_162218, _162220, _162222), v1_funct_1(_162216), v1_funct_2(_162216, _162220, _162222), m1_relset_1(_162216, _162220, _162222), v1_funct_1(_162214), m1_relset_1(_162214, k2_zfmisc_1(_162220, _162220), _162220), v1_funct_1(_162212), v1_funct_2(_162212, _162222, _162220), m1_relset_1(_162212, _162222, _162220)], (451 ^ _148686) ^ [_163827, _163829] : [466 ^ _148686 : [(467 ^ _148686) ^ [] : [-(v2_cat_1(k11_cat_2(_163829, _163827)))], (469 ^ _148686) ^ [] : [-(l1_cat_1(k11_cat_2(_163829, _163827)))]], v2_cat_1(_163829), l1_cat_1(_163829), v2_cat_1(_163827), l1_cat_1(_163827)], (471 ^ _148686) ^ [_164379, _164381] : [486 ^ _148686 : [(487 ^ _148686) ^ [] : [-(v1_cat_1(k12_nattra_1(_164381, _164379)))], (489 ^ _148686) ^ [] : [-(v2_cat_1(k12_nattra_1(_164381, _164379)))], (491 ^ _148686) ^ [] : [-(l1_cat_1(k12_nattra_1(_164381, _164379)))]], v2_cat_1(_164381), l1_cat_1(_164381), v2_cat_1(_164379), l1_cat_1(_164379)], (493 ^ _148686) ^ [] : [true___, -(true___)], (499 ^ _148686) ^ [] : [true___, -(true___)], (505 ^ _148686) ^ [] : [true___, -(true___)], (511 ^ _148686) ^ [_165380, _165382, _165384] : [-(m2_cat_1(k7_isocat_2(_165384, _165382, _165380), k12_nattra_1(k11_cat_2(_165384, _165382), _165380), k12_nattra_1(_165384, k12_nattra_1(_165382, _165380)))), v2_cat_1(_165384), l1_cat_1(_165384), v2_cat_1(_165382), l1_cat_1(_165382), v2_cat_1(_165380), l1_cat_1(_165380)], (537 ^ _148686) ^ [] : [true___, -(true___)], (543 ^ _148686) ^ [] : [true___, -(true___)], (549 ^ _148686) ^ [] : [true___, -(true___)], (555 ^ _148686) ^ [_166440, _166442] : [570 ^ _148686 : [(571 ^ _148686) ^ [_166858] : [m2_cat_1(_166858, _166442, _166440), 574 ^ _148686 : [(575 ^ _148686) ^ [] : [-(v1_funct_1(_166858))], (577 ^ _148686) ^ [] : [-(v1_funct_2(_166858, u2_cat_1(_166442), u2_cat_1(_166440)))], (579 ^ _148686) ^ [] : [-(m2_relset_1(_166858, u2_cat_1(_166442), u2_cat_1(_166440)))]]]], v2_cat_1(_166442), l1_cat_1(_166442), v2_cat_1(_166440), l1_cat_1(_166440)], (581 ^ _148686) ^ [_167270, _167272, _167274] : [m2_relset_1(_167270, _167274, _167272), -(m1_subset_1(_167270, k1_zfmisc_1(k2_zfmisc_1(_167274, _167272))))], (587 ^ _148686) ^ [_167484] : [l1_cat_1(_167484), v1_xboole_0(u1_cat_1(_167484))], (593 ^ _148686) ^ [_167675] : [l1_cat_1(_167675), v1_xboole_0(u2_cat_1(_167675))], (599 ^ _148686) ^ [_167866] : [l1_cat_1(_167866), 602 ^ _148686 : [(603 ^ _148686) ^ [] : [-(v1_funct_1(u3_cat_1(_167866)))], (605 ^ _148686) ^ [] : [-(v1_funct_2(u3_cat_1(_167866), u2_cat_1(_167866), u1_cat_1(_167866)))], (607 ^ _148686) ^ [] : [-(m2_relset_1(u3_cat_1(_167866), u2_cat_1(_167866), u1_cat_1(_167866)))]]], (609 ^ _148686) ^ [_168229] : [l1_cat_1(_168229), 612 ^ _148686 : [(613 ^ _148686) ^ [] : [-(v1_funct_1(u4_cat_1(_168229)))], (615 ^ _148686) ^ [] : [-(v1_funct_2(u4_cat_1(_168229), u2_cat_1(_168229), u1_cat_1(_168229)))], (617 ^ _148686) ^ [] : [-(m2_relset_1(u4_cat_1(_168229), u2_cat_1(_168229), u1_cat_1(_168229)))]]], (619 ^ _148686) ^ [_168592] : [l1_cat_1(_168592), 622 ^ _148686 : [(623 ^ _148686) ^ [] : [-(v1_funct_1(u5_cat_1(_168592)))], (625 ^ _148686) ^ [] : [-(m2_relset_1(u5_cat_1(_168592), k2_zfmisc_1(u2_cat_1(_168592), u2_cat_1(_168592)), u2_cat_1(_168592)))]]], (627 ^ _148686) ^ [_168879] : [l1_cat_1(_168879), 630 ^ _148686 : [(631 ^ _148686) ^ [] : [-(v1_funct_1(u6_cat_1(_168879)))], (633 ^ _148686) ^ [] : [-(v1_funct_2(u6_cat_1(_168879), u1_cat_1(_168879), u2_cat_1(_168879)))], (635 ^ _148686) ^ [] : [-(m2_relset_1(u6_cat_1(_168879), u1_cat_1(_168879), u2_cat_1(_168879)))]]], (638 ^ _148686) ^ [] : [-(l1_cat_1(636 ^ []))], (641 ^ _148686) ^ [_169372, _169374] : [-(m1_relset_1(639 ^ [_169372, _169374], _169374, _169372))], (644 ^ _148686) ^ [_169499] : [-(m1_subset_1(642 ^ [_169499], _169499))], (646 ^ _148686) ^ [_169611, _169613] : [-(m2_cat_1(661 ^ [_169611, _169613], _169613, _169611)), v2_cat_1(_169613), l1_cat_1(_169613), v2_cat_1(_169611), l1_cat_1(_169611)], (666 ^ _148686) ^ [_170167, _170169] : [-(m2_relset_1(664 ^ [_170167, _170169], _170169, _170167))], (668 ^ _148686) ^ [_170254] : [v1_xboole_0(k1_zfmisc_1(_170254))], (670 ^ _148686) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (672 ^ _148686) ^ [_170415, _170417] : [v1_xboole_0(k2_zfmisc_1(_170417, _170415)), -(v1_xboole_0(_170417)), -(v1_xboole_0(_170415))], (682 ^ _148686) ^ [_170777, _170779, _170781, _170783, _170785, _170787] : [733 ^ _148686 : [(734 ^ _148686) ^ [_172343, _172345, _172347, _172349, _172351, _172353] : [g1_cat_1(_170787, _170785, _170783, _170781, _170779, _170777) = g1_cat_1(_172353, _172351, _172349, _172347, _172345, _172343), 737 ^ _148686 : [(738 ^ _148686) ^ [] : [-(_170787 = _172353)], (740 ^ _148686) ^ [] : [-(_170785 = _172351)], (742 ^ _148686) ^ [] : [-(_170783 = _172349)], (744 ^ _148686) ^ [] : [-(_170781 = _172347)], (746 ^ _148686) ^ [] : [-(_170779 = _172345)], (748 ^ _148686) ^ [] : [-(_170777 = _172343)]]]], -(v1_xboole_0(_170787)), -(v1_xboole_0(_170785)), v1_funct_1(_170783), v1_funct_2(_170783, _170785, _170787), m1_relset_1(_170783, _170785, _170787), v1_funct_1(_170781), v1_funct_2(_170781, _170785, _170787), m1_relset_1(_170781, _170785, _170787), v1_funct_1(_170779), m1_relset_1(_170779, k2_zfmisc_1(_170785, _170785), _170785), v1_funct_1(_170777), v1_funct_2(_170777, _170787, _170785), m1_relset_1(_170777, _170787, _170785)], (750 ^ _148686) ^ [_173115] : [-(v1_xboole_0(_173115)), 754 ^ _148686 : [(755 ^ _148686) ^ [] : [-(m1_subset_1(753 ^ [_173115], k1_zfmisc_1(_173115)))], (757 ^ _148686) ^ [] : [v1_xboole_0(753 ^ [_173115])]]], (760 ^ _148686) ^ [] : [-(v1_xboole_0(758 ^ []))], (763 ^ _148686) ^ [_173587] : [-(m1_subset_1(761 ^ [_173587], k1_zfmisc_1(_173587)))], (765 ^ _148686) ^ [_173638] : [-(v1_xboole_0(761 ^ [_173638]))], (768 ^ _148686) ^ [] : [v1_xboole_0(766 ^ [])], (770 ^ _148686) ^ [_173884, _173886, _173888] : [m2_relset_1(_173884, _173888, _173886), -(m1_relset_1(_173884, _173888, _173886))], (776 ^ _148686) ^ [_174056, _174058, _174060] : [m1_relset_1(_174056, _174060, _174058), -(m2_relset_1(_174056, _174060, _174058))], (782 ^ _148686) ^ [_174278, _174280] : [-(r1_isocat_1(_174280, _174280)), v2_cat_1(_174280), l1_cat_1(_174280), v2_cat_1(_174278), l1_cat_1(_174278)], (800 ^ _148686) ^ [_174732, _174734] : [-(r1_tarski(_174734, _174734))], (802 ^ _148686) ^ [_174841, _174843] : [r1_isocat_1(_174843, _174841), -(r1_isocat_1(_174841, _174843)), v2_cat_1(_174843), l1_cat_1(_174843), v2_cat_1(_174841), l1_cat_1(_174841)], (824 ^ _148686) ^ [_175401, _175403] : [r2_hidden(_175403, _175401), -(m1_subset_1(_175403, _175401))], (830 ^ _148686) ^ [_175611, _175613] : [m1_subset_1(_175613, _175611), -(v1_xboole_0(_175611)), -(r2_hidden(_175613, _175611))], (840 ^ _148686) ^ [_175895] : [v2_cat_1(_175895), l1_cat_1(_175895), 847 ^ _148686 : [(848 ^ _148686) ^ [_176145] : [v2_cat_1(_176145), l1_cat_1(_176145), 855 ^ _148686 : [(856 ^ _148686) ^ [_176390] : [-(v8_cat_1(k7_isocat_2(_175895, _176145, _176390), k12_nattra_1(k11_cat_2(_175895, _176145), _176390), k12_nattra_1(_175895, k12_nattra_1(_176145, _176390)))), v2_cat_1(_176390), l1_cat_1(_176390)]]]]], (866 ^ _148686) ^ [_176776, _176778] : [m1_subset_1(_176778, k1_zfmisc_1(_176776)), -(r1_tarski(_176778, _176776))], (872 ^ _148686) ^ [_176942, _176944] : [r1_tarski(_176944, _176942), -(m1_subset_1(_176944, k1_zfmisc_1(_176942)))], (878 ^ _148686) ^ [_177172, _177174, _177176] : [-(m1_subset_1(_177176, _177172)), r2_hidden(_177176, _177174), m1_subset_1(_177174, k1_zfmisc_1(_177172))], (888 ^ _148686) ^ [_177499, _177501, _177503] : [r2_hidden(_177503, _177501), m1_subset_1(_177501, k1_zfmisc_1(_177499)), v1_xboole_0(_177499)], (898 ^ _148686) ^ [_177795] : [v1_xboole_0(_177795), -(_177795 = k1_xboole_0)], (904 ^ _148686) ^ [_177997, _177999] : [r2_hidden(_177999, _177997), v1_xboole_0(_177997)], (910 ^ _148686) ^ [_178184, _178186] : [v1_xboole_0(_178186), -(_178186 = _178184), v1_xboole_0(_178184)]], input).
% 0.53/1.37  ncf('1',plain,[r1_isocat_1(k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []), k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ [])))],start(935 ^ 0)).
% 0.53/1.37  ncf('1.1',plain,[-(r1_isocat_1(k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []), k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ [])))), 387 : m2_cat_1(k7_isocat_2(919 ^ [], 924 ^ [], 929 ^ []), k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []), k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ []))), 387 : v8_cat_1(k7_isocat_2(919 ^ [], 924 ^ [], 929 ^ []), k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []), k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ []))), 385 : v2_cat_1(k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ []))), 385 : l1_cat_1(k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ []))), 368 : v2_cat_1(k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ [])), 368 : l1_cat_1(k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []))],extension(360 ^ 1,bind([[_161067, _161304, _161866], [k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []), k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ [])), k7_isocat_2(919 ^ [], 924 ^ [], 929 ^ [])]]))).
% 0.53/1.37  ncf('1.1.1',plain,[-(m2_cat_1(k7_isocat_2(919 ^ [], 924 ^ [], 929 ^ []), k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []), k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ [])))), v2_cat_1(919 ^ []), l1_cat_1(919 ^ []), v2_cat_1(924 ^ []), l1_cat_1(924 ^ []), v2_cat_1(929 ^ []), l1_cat_1(929 ^ [])],extension(511 ^ 8,bind([[_165380, _165382, _165384], [929 ^ [], 924 ^ [], 919 ^ []]]))).
% 0.53/1.37  ncf('1.1.1.1',plain,[-(v2_cat_1(919 ^ []))],extension(921 ^ 9)).
% 0.53/1.37  ncf('1.1.1.2',plain,[-(l1_cat_1(919 ^ []))],extension(923 ^ 9)).
% 0.53/1.37  ncf('1.1.1.3',plain,[-(v2_cat_1(924 ^ []))],extension(926 ^ 9)).
% 0.53/1.37  ncf('1.1.1.4',plain,[-(l1_cat_1(924 ^ []))],extension(928 ^ 9)).
% 0.53/1.37  ncf('1.1.1.5',plain,[-(v2_cat_1(929 ^ []))],extension(931 ^ 9)).
% 0.53/1.37  ncf('1.1.1.6',plain,[-(l1_cat_1(929 ^ []))],extension(933 ^ 9)).
% 0.53/1.37  ncf('1.1.2',plain,[-(v8_cat_1(k7_isocat_2(919 ^ [], 924 ^ [], 929 ^ []), k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []), k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ [])))), 856 : v2_cat_1(929 ^ []), 856 : l1_cat_1(929 ^ []), 856 : v2_cat_1(924 ^ []), 856 : l1_cat_1(924 ^ []), 848 : v2_cat_1(919 ^ []), 848 : l1_cat_1(919 ^ [])],extension(840 ^ 8,bind([[_175895, _176145, _176390], [919 ^ [], 924 ^ [], 929 ^ []]]))).
% 0.53/1.37  ncf('1.1.2.1',plain,[-(v2_cat_1(929 ^ []))],extension(931 ^ 13)).
% 0.53/1.37  ncf('1.1.2.2',plain,[-(l1_cat_1(929 ^ []))],extension(933 ^ 13)).
% 0.53/1.37  ncf('1.1.2.3',plain,[-(v2_cat_1(924 ^ []))],extension(926 ^ 11)).
% 0.53/1.37  ncf('1.1.2.4',plain,[-(l1_cat_1(924 ^ []))],extension(928 ^ 11)).
% 0.53/1.37  ncf('1.1.2.5',plain,[-(v2_cat_1(919 ^ []))],extension(921 ^ 9)).
% 0.53/1.37  ncf('1.1.2.6',plain,[-(l1_cat_1(919 ^ []))],extension(923 ^ 9)).
% 0.53/1.37  ncf('1.1.3',plain,[-(v2_cat_1(k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ [])))), v2_cat_1(919 ^ []), l1_cat_1(919 ^ []), v2_cat_1(k12_nattra_1(924 ^ [], 929 ^ [])), l1_cat_1(k12_nattra_1(924 ^ [], 929 ^ []))],extension(471 ^ 4,bind([[_164379, _164381], [k12_nattra_1(924 ^ [], 929 ^ []), 919 ^ []]]))).
% 0.53/1.37  ncf('1.1.3.1',plain,[-(v2_cat_1(919 ^ []))],extension(921 ^ 5)).
% 0.53/1.37  ncf('1.1.3.2',plain,[-(l1_cat_1(919 ^ []))],extension(923 ^ 5)).
% 0.53/1.37  ncf('1.1.3.3',plain,[-(v2_cat_1(k12_nattra_1(924 ^ [], 929 ^ []))), v2_cat_1(924 ^ []), l1_cat_1(924 ^ []), v2_cat_1(929 ^ []), l1_cat_1(929 ^ [])],extension(471 ^ 5,bind([[_164379, _164381], [929 ^ [], 924 ^ []]]))).
% 0.53/1.37  ncf('1.1.3.3.1',plain,[-(v2_cat_1(924 ^ []))],extension(926 ^ 6)).
% 0.53/1.37  ncf('1.1.3.3.2',plain,[-(l1_cat_1(924 ^ []))],extension(928 ^ 6)).
% 0.53/1.37  ncf('1.1.3.3.3',plain,[-(v2_cat_1(929 ^ []))],extension(931 ^ 6)).
% 0.53/1.37  ncf('1.1.3.3.4',plain,[-(l1_cat_1(929 ^ []))],extension(933 ^ 6)).
% 0.53/1.37  ncf('1.1.3.4',plain,[-(l1_cat_1(k12_nattra_1(924 ^ [], 929 ^ []))), v2_cat_1(924 ^ []), l1_cat_1(924 ^ []), v2_cat_1(929 ^ []), l1_cat_1(929 ^ [])],extension(471 ^ 5,bind([[_164379, _164381], [929 ^ [], 924 ^ []]]))).
% 0.53/1.37  ncf('1.1.3.4.1',plain,[-(v2_cat_1(924 ^ []))],extension(926 ^ 6)).
% 0.53/1.37  ncf('1.1.3.4.2',plain,[-(l1_cat_1(924 ^ []))],extension(928 ^ 6)).
% 0.53/1.37  ncf('1.1.3.4.3',plain,[-(v2_cat_1(929 ^ []))],extension(931 ^ 6)).
% 0.53/1.37  ncf('1.1.3.4.4',plain,[-(l1_cat_1(929 ^ []))],extension(933 ^ 6)).
% 0.53/1.37  ncf('1.1.4',plain,[-(l1_cat_1(k12_nattra_1(919 ^ [], k12_nattra_1(924 ^ [], 929 ^ [])))), v2_cat_1(919 ^ []), l1_cat_1(919 ^ []), v2_cat_1(k12_nattra_1(924 ^ [], 929 ^ [])), l1_cat_1(k12_nattra_1(924 ^ [], 929 ^ []))],extension(471 ^ 4,bind([[_164379, _164381], [k12_nattra_1(924 ^ [], 929 ^ []), 919 ^ []]]))).
% 0.53/1.37  ncf('1.1.4.1',plain,[-(v2_cat_1(919 ^ []))],extension(921 ^ 5)).
% 0.53/1.37  ncf('1.1.4.2',plain,[-(l1_cat_1(919 ^ []))],extension(923 ^ 5)).
% 0.53/1.37  ncf('1.1.4.3',plain,[-(v2_cat_1(k12_nattra_1(924 ^ [], 929 ^ []))), v2_cat_1(924 ^ []), l1_cat_1(924 ^ []), v2_cat_1(929 ^ []), l1_cat_1(929 ^ [])],extension(471 ^ 5,bind([[_164379, _164381], [929 ^ [], 924 ^ []]]))).
% 0.53/1.37  ncf('1.1.4.3.1',plain,[-(v2_cat_1(924 ^ []))],extension(926 ^ 6)).
% 0.53/1.37  ncf('1.1.4.3.2',plain,[-(l1_cat_1(924 ^ []))],extension(928 ^ 6)).
% 0.53/1.37  ncf('1.1.4.3.3',plain,[-(v2_cat_1(929 ^ []))],extension(931 ^ 6)).
% 0.53/1.37  ncf('1.1.4.3.4',plain,[-(l1_cat_1(929 ^ []))],extension(933 ^ 6)).
% 0.53/1.37  ncf('1.1.4.4',plain,[-(l1_cat_1(k12_nattra_1(924 ^ [], 929 ^ []))), v2_cat_1(924 ^ []), l1_cat_1(924 ^ []), v2_cat_1(929 ^ []), l1_cat_1(929 ^ [])],extension(471 ^ 5,bind([[_164379, _164381], [929 ^ [], 924 ^ []]]))).
% 0.53/1.37  ncf('1.1.4.4.1',plain,[-(v2_cat_1(924 ^ []))],extension(926 ^ 6)).
% 0.53/1.37  ncf('1.1.4.4.2',plain,[-(l1_cat_1(924 ^ []))],extension(928 ^ 6)).
% 0.53/1.37  ncf('1.1.4.4.3',plain,[-(v2_cat_1(929 ^ []))],extension(931 ^ 6)).
% 0.53/1.37  ncf('1.1.4.4.4',plain,[-(l1_cat_1(929 ^ []))],extension(933 ^ 6)).
% 0.53/1.37  ncf('1.1.5',plain,[-(v2_cat_1(k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []))), v2_cat_1(k11_cat_2(919 ^ [], 924 ^ [])), l1_cat_1(k11_cat_2(919 ^ [], 924 ^ [])), v2_cat_1(929 ^ []), l1_cat_1(929 ^ [])],extension(471 ^ 2,bind([[_164379, _164381], [929 ^ [], k11_cat_2(919 ^ [], 924 ^ [])]]))).
% 0.53/1.37  ncf('1.1.5.1',plain,[-(v2_cat_1(k11_cat_2(919 ^ [], 924 ^ []))), v2_cat_1(919 ^ []), l1_cat_1(919 ^ []), v2_cat_1(924 ^ []), l1_cat_1(924 ^ [])],extension(451 ^ 3,bind([[_163827, _163829], [924 ^ [], 919 ^ []]]))).
% 0.53/1.37  ncf('1.1.5.1.1',plain,[-(v2_cat_1(919 ^ []))],extension(921 ^ 4)).
% 0.53/1.37  ncf('1.1.5.1.2',plain,[-(l1_cat_1(919 ^ []))],extension(923 ^ 4)).
% 0.53/1.37  ncf('1.1.5.1.3',plain,[-(v2_cat_1(924 ^ []))],extension(926 ^ 4)).
% 0.53/1.37  ncf('1.1.5.1.4',plain,[-(l1_cat_1(924 ^ []))],extension(928 ^ 4)).
% 0.53/1.37  ncf('1.1.5.2',plain,[-(l1_cat_1(k11_cat_2(919 ^ [], 924 ^ []))), v2_cat_1(919 ^ []), l1_cat_1(919 ^ []), v2_cat_1(924 ^ []), l1_cat_1(924 ^ [])],extension(451 ^ 3,bind([[_163827, _163829], [924 ^ [], 919 ^ []]]))).
% 0.53/1.37  ncf('1.1.5.2.1',plain,[-(v2_cat_1(919 ^ []))],extension(921 ^ 4)).
% 0.53/1.37  ncf('1.1.5.2.2',plain,[-(l1_cat_1(919 ^ []))],extension(923 ^ 4)).
% 0.53/1.37  ncf('1.1.5.2.3',plain,[-(v2_cat_1(924 ^ []))],extension(926 ^ 4)).
% 0.53/1.37  ncf('1.1.5.2.4',plain,[-(l1_cat_1(924 ^ []))],extension(928 ^ 4)).
% 0.53/1.37  ncf('1.1.5.3',plain,[-(v2_cat_1(929 ^ []))],extension(931 ^ 3)).
% 0.53/1.37  ncf('1.1.5.4',plain,[-(l1_cat_1(929 ^ []))],extension(933 ^ 3)).
% 0.53/1.37  ncf('1.1.6',plain,[-(l1_cat_1(k12_nattra_1(k11_cat_2(919 ^ [], 924 ^ []), 929 ^ []))), v2_cat_1(k11_cat_2(919 ^ [], 924 ^ [])), l1_cat_1(k11_cat_2(919 ^ [], 924 ^ [])), v2_cat_1(929 ^ []), l1_cat_1(929 ^ [])],extension(471 ^ 2,bind([[_164379, _164381], [929 ^ [], k11_cat_2(919 ^ [], 924 ^ [])]]))).
% 0.53/1.37  ncf('1.1.6.1',plain,[-(v2_cat_1(k11_cat_2(919 ^ [], 924 ^ []))), v2_cat_1(919 ^ []), l1_cat_1(919 ^ []), v2_cat_1(924 ^ []), l1_cat_1(924 ^ [])],extension(451 ^ 3,bind([[_163827, _163829], [924 ^ [], 919 ^ []]]))).
% 0.53/1.37  ncf('1.1.6.1.1',plain,[-(v2_cat_1(919 ^ []))],extension(921 ^ 4)).
% 0.53/1.37  ncf('1.1.6.1.2',plain,[-(l1_cat_1(919 ^ []))],extension(923 ^ 4)).
% 0.53/1.37  ncf('1.1.6.1.3',plain,[-(v2_cat_1(924 ^ []))],extension(926 ^ 4)).
% 0.53/1.37  ncf('1.1.6.1.4',plain,[-(l1_cat_1(924 ^ []))],extension(928 ^ 4)).
% 0.53/1.37  ncf('1.1.6.2',plain,[-(l1_cat_1(k11_cat_2(919 ^ [], 924 ^ []))), v2_cat_1(919 ^ []), l1_cat_1(919 ^ []), v2_cat_1(924 ^ []), l1_cat_1(924 ^ [])],extension(451 ^ 3,bind([[_163827, _163829], [924 ^ [], 919 ^ []]]))).
% 0.53/1.37  ncf('1.1.6.2.1',plain,[-(v2_cat_1(919 ^ []))],extension(921 ^ 4)).
% 0.53/1.37  ncf('1.1.6.2.2',plain,[-(l1_cat_1(919 ^ []))],extension(923 ^ 4)).
% 0.53/1.37  ncf('1.1.6.2.3',plain,[-(v2_cat_1(924 ^ []))],extension(926 ^ 4)).
% 0.53/1.37  ncf('1.1.6.2.4',plain,[-(l1_cat_1(924 ^ []))],extension(928 ^ 4)).
% 0.53/1.37  ncf('1.1.6.3',plain,[-(v2_cat_1(929 ^ []))],extension(931 ^ 3)).
% 0.53/1.37  ncf('1.1.6.4',plain,[-(l1_cat_1(929 ^ []))],extension(933 ^ 3)).
% 0.53/1.37  %-----------------------------------------------------
% 0.53/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------