TSTP Solution File: GEO499+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO499+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 11:12:36 EDT 2023

% Result   : Theorem 51.91s 51.06s
% Output   : Proof 51.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO499+1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n014.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 04:23:27 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 51.91/51.06  
% 51.91/51.06  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 51.91/51.06  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.91/51.06  %-----------------------------------------------------
% 51.91/51.06  ncf(matrix, plain, [(1996 ^ _57397) ^ [] : [-(s_t(s(1992 ^ [], 1989 ^ []), s(1992 ^ [], 1990 ^ []), s(1992 ^ [], 1991 ^ [])))], (1994 ^ _57397) ^ [] : [s_t(1989 ^ [], 1990 ^ [], 1991 ^ [])], !, (1178 ^ _18419) ^ [_37204, _37206, _37208] : [sameside(_37208, _37206, _37204), -(s_t(_37204, _37206, c63(_37208, _37206, _37204)))], (1702 ^ _18419) ^ [_46245, _46247, _46249, _46251, _46253, _46255, _46257, _46259] : [s_t(_46259, _46257, _46255), s_t(_46251, _46249, _46247), s_e(_46259, _46255, _46251, _46247), s_e(_46257, _46255, _46249, _46247), s_e(_46259, _46253, _46251, _46245), s_e(_46255, _46253, _46247, _46245), -(s_ifs(_46259, _46257, _46255, _46253, _46251, _46249, _46247, _46245))], (762 ^ _18419) ^ [_31041, _31043, _31045, _31047, _31049, _31051] : [s_t(_31051, _31049, _31047), s_t(_31045, _31043, _31047), s_t(_31051, _31041, _31045), -(s_t(_31049, crossbar(_31051, _31049, _31047, _31045, _31043, _31041), _31043))], (1868 ^ _18419) ^ [_52228, _52230, _52232] : [sameside(_52232, _52230, _52228), -(s_t(_52230, _52232, _52228)), -(s_t(_52230, _52228, _52232))], (1696 ^ _18419) ^ [_46029, _46031, _46033, _46035, _46037, _46039, _46041, _46043] : [s_ifs(_46043, _46041, _46039, _46037, _46035, _46033, _46031, _46029), -(s_e(_46039, _46037, _46031, _46029))], (680 ^ _18419) ^ [_29885, _29887, _29889, _29891] : [s_t(_29891, _29889, _29887), s_t(_29891, _29887, _29885), -(s_t(_29889, _29887, _29885))], (1036 ^ _18419) ^ [_35167, _35169] : [-(le(_35169, _35167, _35169, _35167))], (580 ^ _18419) ^ [_28372, _28374, _28376, _28378] : [s_e(_28378, _28376, _28374, _28372), -(s_e(_28378, _28376, _28372, _28374))], (1432 ^ _18419) ^ [_40512, _40514] : [-(_40514 = _40512), -(s_col(_40514, _40512, _40514))], (1316 ^ _18419) ^ [_38989, _38991, _38993, _38995] : [-(_38995 = _38993), -(_38995 = _38991), s_t(_38993, _38995, _38991), s_col(_38989, _38995, _38993), -(_38989 = _38995), -(sameside(_38989, _38995, _38993)), -(sameside(_38989, _38995, _38991))], (1184 ^ _18419) ^ [_37304, _37306, _37308, _37310] : [-(sameside(_37310, _37308, _37306)), -(_37310 = _37308), -(_37306 = _37308), -(_37304 = _37308), s_t(_37310, _37308, _37304), s_t(_37306, _37308, _37304)], (1414 ^ _18419) ^ [_40258, _40260, _40262, _40264] : [-(_40264 = _40262), -(_40260 = _40264), s_col(_40264, _40262, _40260), s_col(_40264, _40262, _40258), -(s_col(_40264, _40260, _40258))], (558 ^ _18419) ^ [_28029, _28031, _28033, _28035] : [s_e(_28035, _28033, _28031, _28029), -(s_e(_28031, _28029, _28035, _28033))], (402 ^ _18419) ^ [_25556, _25558, _25560, _25562, _25564, _25566] : [-(c63(_25566, _25562, _25558) = c63(_25564, _25560, _25556)), _25566 = _25564, _25562 = _25560, _25558 = _25556], (1616 ^ _18419) ^ [_43292, _43294, _43296, _43298, _43300, _43302, _43304, _43306] : [s_afs(_43306, _43304, _43302, _43300, _43298, _43296, _43294, _43292), -(s_e(_43306, _43304, _43298, _43296))], (1734 ^ _18419) ^ [_47408, _47410, _47412, _47414, _47416, _47418] : [s_e3(_47418, _47416, _47414, _47412, _47410, _47408), -(s_e(_47418, _47414, _47412, _47408))], (994 ^ _18419) ^ [_34462, _34464, _34466, _34468] : [le(_34468, _34466, _34464, _34462), -(s_t(_34468, _34466, ins(_34464, _34462, _34468, _34466)))], (1558 ^ _18419) ^ [_42342, _42344, _42346] : [s_m(_42346, _42344, _42342), -(_42342 = s(_42344, _42346))], (836 ^ _18419) ^ [_32266, _32268, _32270] : [s_col(_32270, _32268, _32266), -(s_col(_32266, _32270, _32268))], (484 ^ _18419) ^ [_26885, _26887, _26889] : [s_e(_26889, _26887, _26885, _26885), -(_26889 = _26887)], (564 ^ _18419) ^ [_28120, _28122, _28124, _28126, _28128, _28130] : [s_e(_28130, _28128, _28126, _28124), s_e(_28126, _28124, _28122, _28120), -(s_e(_28130, _28128, _28122, _28120))], (944 ^ _18419) ^ [_33854, _33856, _33858, _33860] : [-(_33860 = _33858), s_t(_33860, _33858, _33856), s_t(_33860, _33858, _33854), -(s_t(_33860, _33856, _33854)), -(s_t(_33860, _33854, _33856))], (550 ^ _18419) ^ [] : [s_t(alpha, beta, gamma)], (894 ^ _18419) ^ [_33109, _33111, _33113, _33115, _33117] : [-(_33117 = _33115), s_col(_33117, _33115, _33113), s_e(_33117, _33111, _33117, _33109), s_e(_33115, _33111, _33115, _33109), -(s_e(_33113, _33111, _33113, _33109))], (854 ^ _18419) ^ [_32521, _32523, _32525] : [s_col(_32525, _32523, _32521), -(s_col(_32525, _32521, _32523))], (1510 ^ _18419) ^ [_41637, _41639, _41641, _41643, _41645, _41647] : [sameside(_41647, _41645, _41643), sameside(_41641, _41639, _41637), s_e(_41645, _41647, _41639, _41641), s_e(_41645, _41643, _41639, _41637), -(s_e(_41647, _41643, _41641, _41637))], (1862 ^ _18419) ^ [_52035, _52037, _52039] : [sameside(_52039, _52037, _52035), _52035 = _52037], (1892 ^ _18419) ^ [_52880, _52882, _52884] : [s_t(_52882, _52880, _52884), -(_52884 = _52882), -(_52880 = _52882), -(sameside(_52884, _52882, _52880))], (620 ^ _18419) ^ [_28995, _28997, _28999] : [s_e(_28999, _28997, _28995, _28995), -(_28999 = _28997)], (462 ^ _18419) ^ [_26524, _26526, _26528, _26530] : [-(s(_26530, _26526) = s(_26528, _26524)), _26530 = _26528, _26526 = _26524], (1378 ^ _18419) ^ [_39788, _39790, _39792, _39794] : [-(_39794 = _39792), -(_39794 = _39790), s_t(_39792, _39794, _39790), _39788 = _39794, -(s_col(_39788, _39794, _39792))], (1504 ^ _18419) ^ [_41553, _41555] : [-(_41555 = _41553), s_col(_41555, _41553, pointOffLine(_41555, _41553))], (1342 ^ _18419) ^ [_39274, _39276, _39278, _39280] : [-(_39280 = _39278), -(_39280 = _39276), s_t(_39278, _39280, _39276), sameside(_39274, _39280, _39278), -(s_col(_39274, _39280, _39278))], (1132 ^ _18419) ^ [_36528, _36530, _36532, _36534] : [-(_36534 = _36532), -(_36530 = _36532), -(_36528 = _36532), s_t(_36534, _36532, _36528), -(s_t(_36530, _36532, _36528)), sameside(_36534, _36532, _36530)], (820 ^ _18419) ^ [_32020, _32022, _32024, _32026, _32028, _32030] : [s_t(_32030, _32028, _32026), s_e3(_32030, _32028, _32026, _32024, _32022, _32020), -(s_t(_32024, _32022, _32020))], (1000 ^ _18419) ^ [_34561, _34563, _34565, _34567] : [le(_34567, _34565, _34563, _34561), -(s_e(_34567, ins(_34563, _34561, _34567, _34565), _34563, _34561))], (296 ^ _18419) ^ [_23693, _23695, _23697, _23699, _23701, _23703] : [-(s_t(_23701, _23697, _23693)), s_t(_23703, _23699, _23695), _23703 = _23701, _23699 = _23697, _23695 = _23693], (1566 ^ _18419) ^ [_42462, _42464, _42466, _42468] : [s(_42468, _42466) = _42464, s(_42468, _42462) = _42464, -(_42466 = _42462)], (742 ^ _18419) ^ [] : [alpha = gamma], (1610 ^ _18419) ^ [_43187, _43189, _43191, _43193, _43195, _43197, _43199, _43201] : [s_afs(_43201, _43199, _43197, _43195, _43193, _43191, _43189, _43187), -(s_t(_43193, _43191, _43189))], (776 ^ _18419) ^ [_31276, _31278, _31280, _31282, _31284, _31286, _31288, _31290] : [s_ifs(_31290, _31288, _31286, _31284, _31282, _31280, _31278, _31276), -(s_e(_31288, _31284, _31280, _31276))], (658 ^ _18419) ^ [_29571, _29573] : [-(s_t(_29573, _29573, _29571))], (1110 ^ _18419) ^ [_36214, _36216, _36218, _36220] : [-(_36220 = _36218), -(_36216 = _36218), -(_36214 = _36218), s_t(_36220, _36218, _36214), s_t(_36216, _36218, _36214), -(sameside(_36220, _36218, _36216))], (556 ^ _18419) ^ [_28002, _28004] : [-(s_e(_28004, _28002, _28004, _28002))], (1166 ^ _18419) ^ [_37023, _37025, _37027] : [sameside(_37027, _37025, _37023), c63(_37027, _37025, _37023) = _37025], (738 ^ _18419) ^ [] : [alpha = beta], (1596 ^ _18419) ^ [_42906, _42908, _42910, _42912] : [s_t(_42912, _42910, _42908), -(s_t(s(_42906, _42912), s(_42906, _42910), s(_42906, _42908)))], (962 ^ _18419) ^ [_34069, _34071, _34073, _34075] : [-(_34075 = _34073), s_t(_34075, _34073, _34071), s_t(_34075, _34073, _34069), -(s_t(_34073, _34071, _34069)), -(s_t(_34073, _34069, _34071))], (182 ^ _18419) ^ [_21800, _21802, _21804, _21806, _21808, _21810, _21812, _21814] : [-(le(_21812, _21808, _21804, _21800)), le(_21814, _21810, _21806, _21802), _21814 = _21812, _21810 = _21808, _21806 = _21804, _21802 = _21800], (492 ^ _18419) ^ [_27000, _27002, _27004, _27006] : [-(s_e(_27004, ext(_27006, _27004, _27002, _27000), _27002, _27000))], (1576 ^ _18419) ^ [_42615, _42617, _42619] : [s(_42619, _42617) = s(_42619, _42615), -(_42617 = _42615)], (670 ^ _18419) ^ [_29738, _29740, _29742, _29744] : [s_t(_29744, _29742, _29740), s_t(_29742, _29738, _29740), -(s_t(_29744, _29742, _29738))], (1602 ^ _18419) ^ [_43011, _43013, _43015, _43017] : [-(insert(_43017, _43015, _43013, _43011) = ext(ext(_43011, _43013, alpha, gamma), _43013, _43017, _43015))], (1438 ^ _18419) ^ [_40548, _40550, _40552] : [-(_40552 = _40550), s_col(_40552, _40550, _40548), -(s_col(_40550, _40552, _40548))], (860 ^ _18419) ^ [_32606, _32608] : [-(s_col(_32608, _32608, _32606))], (1912 ^ _18419) ^ [_53526, _53528, _53530] : [s_m(_53530, _53528, _53526), -(s_e(_53528, _53530, _53528, _53526))], (800 ^ _18419) ^ [_31690, _31692, _31694, _31696, _31698] : [s_t(_31698, _31696, _31694), s_e(_31698, _31694, _31692, _31690), -(s_t(_31692, insert(_31698, _31696, _31692, _31690), _31690))], (632 ^ _18419) ^ [_29171, _29173, _29175, _29177, _29179, _29181] : [s_t(_29181, _29179, _29177), s_t(_29175, _29173, _29171), s_e(_29181, _29179, _29173, _29171), s_e(_29179, _29177, _29175, _29173), -(s_e(_29181, _29177, _29175, _29171))], (930 ^ _18419) ^ [_33646, _33648, _33650, _33652] : [s_t(_33652, _33650, _33648), s_e(_33652, _33650, _33652, _33646), s_e(_33648, _33650, _33648, _33646), -(_33650 = _33646)], (1958 ^ _18419) ^ [_55231, _55233, _55235, _55237, _55239, _55241, _55243] : [s_kf(_55243, _55241, _55239, _55237, _55235, _55233, _55231), -(s_m(_55231, _55233, _55235))], (1684 ^ _18419) ^ [_45557, _45559, _45561, _45563, _45565, _45567, _45569, _45571] : [s_ifs(_45571, _45569, _45567, _45565, _45563, _45561, _45559, _45557), -(s_e(_45569, _45567, _45561, _45559))], (1470 ^ _18419) ^ [_41011, _41013, _41015, _41017, _41019, _41021, _41023] : [-(_41023 = _41021), -(_41019 = _41017), s_col(_41023, _41021, _41015), s_col(_41019, _41017, _41015), s_col(_41023, _41021, _41013), s_col(_41019, _41017, _41013), -(_41015 = _41013), s_col(_41023, _41021, _41011), -(s_col(_41019, _41017, _41011))], (874 ^ _18419) ^ [_32819, _32821, _32823, _32825, _32827] : [s_col(_32827, _32825, _32823), s_e(_32827, _32825, _32821, _32819), -(s_e3(_32827, _32825, _32823, _32821, _32819, insert5(_32827, _32825, _32823, _32821, _32819)))], (1964 ^ _18419) ^ [_55437, _55439, _55441, _55443, _55445, _55447, _55449] : [s_t(_55449, _55443, _55437), s_t(_55445, _55443, _55441), s_e(_55443, _55449, _55443, _55445), s_e(_55443, _55437, _55443, _55441), s_m(_55449, _55447, _55445), s_m(_55437, _55439, _55441), -(s_kf(_55449, _55447, _55445, _55443, _55441, _55439, _55437))], (444 ^ _18419) ^ [_26227, _26229, _26231, _26233, _26235, _26237, _26239, _26241] : [-(insert(_26241, _26237, _26233, _26229) = insert(_26239, _26235, _26231, _26227)), _26241 = _26239, _26237 = _26235, _26233 = _26231, _26229 = _26227], (2 ^ _18419) ^ [_18446] : [-(_18446 = _18446)], (1634 ^ _18419) ^ [_43666, _43668, _43670, _43672, _43674, _43676, _43678, _43680] : [s_afs(_43680, _43678, _43676, _43674, _43672, _43670, _43668, _43666), -(s_e(_43678, _43674, _43670, _43666))], (1792 ^ _18419) ^ [_49424, _49426, _49428, _49430, _49432, _49434, _49436, _49438] : [s_fs(_49438, _49436, _49434, _49432, _49430, _49428, _49426, _49424), -(s_col(_49438, _49436, _49434))], (10 ^ _18419) ^ [_18542, _18544, _18546] : [-(_18546 = _18542), _18546 = _18544, _18544 = _18542], (1396 ^ _18419) ^ [_40043, _40045, _40047, _40049] : [-(_40049 = _40047), s_t(_40045, _40049, _40047), s_t(_40043, _40049, _40047), -(s_t(_40043, _40045, _40047)), -(s_t(_40045, _40043, _40047))], (1066 ^ _18419) ^ [_35577, _35579, _35581] : [s_col(_35581, _35579, _35577), s_t(_35581, _35579, _35577), -(le(_35581, _35579, _35581, _35577))], (204 ^ _18419) ^ [_22153, _22155, _22157, _22159, _22161, _22163] : [-(sameside(_22161, _22157, _22153)), sameside(_22163, _22159, _22155), _22163 = _22161, _22159 = _22157, _22155 = _22153], (1672 ^ _18419) ^ [_45087, _45089, _45091, _45093, _45095, _45097, _45099, _45101] : [s_ifs(_45101, _45099, _45097, _45095, _45093, _45091, _45089, _45087), -(s_t(_45093, _45091, _45089))], (426 ^ _18419) ^ [_25926, _25928, _25930, _25932, _25934, _25936, _25938, _25940] : [-(ext(_25940, _25936, _25932, _25928) = ext(_25938, _25934, _25930, _25926)), _25940 = _25938, _25936 = _25934, _25932 = _25930, _25928 = _25926], (1260 ^ _18419) ^ [_38241, _38243, _38245, _38247] : [-(_38247 = _38245), -(_38243 = _38241), -(s_e(_38245, insert(_38243, _38241, _38245, _38247), _38243, _38241))], (1038 ^ _18419) ^ [_35194, _35196, _35198, _35200, _35202, _35204] : [le(_35204, _35202, _35200, _35198), le(_35200, _35198, _35196, _35194), -(le(_35204, _35202, _35196, _35194))], (1934 ^ _18419) ^ [_54323, _54325, _54327, _54329, _54331, _54333, _54335] : [s_kf(_54335, _54333, _54331, _54329, _54327, _54325, _54323), -(s_t(_54331, _54329, _54327))], (336 ^ _18419) ^ [_24381, _24383, _24385, _24387, _24389, _24391, _24393, _24395, _24397, _24399, _24401, _24403] : [-(crossbar(_24403, _24399, _24395, _24391, _24387, _24383) = crossbar(_24401, _24397, _24393, _24389, _24385, _24381)), _24403 = _24401, _24399 = _24397, _24395 = _24393, _24391 = _24389, _24387 = _24385, _24383 = _24381], (912 ^ _18419) ^ [_33383, _33385, _33387, _33389] : [-(_33389 = _33387), s_col(_33389, _33387, _33385), s_e(_33389, _33385, _33389, _33383), s_e(_33387, _33385, _33387, _33383), -(_33385 = _33383)], (1064 ^ _18419) ^ [_35548, _35550, _35552] : [-(le(_35552, _35552, _35550, _35548))], (4 ^ _18419) ^ [_18469, _18471] : [_18471 = _18469, -(_18469 = _18471)], (1946 ^ _18419) ^ [_54777, _54779, _54781, _54783, _54785, _54787, _54789] : [s_kf(_54789, _54787, _54785, _54783, _54781, _54779, _54777), -(s_e(_54783, _54777, _54783, _54781))], (1270 ^ _18419) ^ [_38296, _38298, _38300, _38302, _38304, _38306] : [-(_38306 = _38304), -(_38302 = _38300), sameside(_38298, _38304, _38306), s_e(_38304, _38298, _38302, _38300), sameside(_38296, _38304, _38306), s_e(_38304, _38296, _38302, _38300), -(_38298 = _38296)], (530 ^ _18419) ^ [_27595, _27597, _27599, _27601, _27603] : [s_t(_27603, _27601, _27599), s_t(_27597, _27595, _27599), -(s_t(_27601, ip(_27603, _27601, _27599, _27597, _27595), _27597))], (1804 ^ _18419) ^ [_49898, _49900, _49902, _49904, _49906, _49908, _49910, _49912] : [s_fs(_49912, _49910, _49908, _49906, _49904, _49902, _49900, _49898), -(s_e(_49912, _49906, _49904, _49898))], (552 ^ _18419) ^ [] : [s_t(beta, gamma, alpha)], (1816 ^ _18419) ^ [_50350, _50352, _50354, _50356, _50358, _50360, _50362, _50364] : [s_col(_50364, _50362, _50360), s_e3(_50364, _50362, _50360, _50356, _50354, _50352), s_e(_50364, _50358, _50356, _50350), s_e(_50362, _50358, _50354, _50350), -(s_fs(_50364, _50362, _50360, _50358, _50356, _50354, _50352, _50350))], (830 ^ _18419) ^ [_32181, _32183, _32185] : [s_col(_32185, _32183, _32181), -(s_col(_32183, _32181, _32185))], (744 ^ _18419) ^ [_30718, _30720] : [-(s_t(_30720, _30718, ext(_30720, _30718, alpha, gamma)))], (842 ^ _18419) ^ [_32351, _32353, _32355] : [s_col(_32355, _32353, _32351), -(s_col(_32351, _32353, _32355))], (1228 ^ _18419) ^ [_37932, _37934] : [-(_37934 = _37932), -(sameside(_37934, _37932, _37934))], (864 ^ _18419) ^ [_32658, _32660, _32662, _32664, _32666, _32668] : [s_col(_32668, _32666, _32664), s_e3(_32668, _32666, _32664, _32662, _32660, _32658), -(s_col(_32662, _32660, _32658))], (626 ^ _18419) ^ [_29080, _29082, _29084, _29086] : [s_e(_29086, _29084, _29082, _29080), -(s_e(_29084, _29086, _29080, _29082))], (1690 ^ _18419) ^ [_45793, _45795, _45797, _45799, _45801, _45803, _45805, _45807] : [s_ifs(_45807, _45805, _45803, _45801, _45799, _45797, _45795, _45793), -(s_e(_45807, _45801, _45799, _45793))], (1076 ^ _18419) ^ [_35722, _35724, _35726] : [s_col(_35726, _35724, _35722), s_t(_35726, _35724, _35722), -(le(_35724, _35722, _35726, _35722))], (20 ^ _18419) ^ [_18679, _18681, _18683, _18685, _18687, _18689, _18691, _18693, _18695, _18697, _18699, _18701, _18703, _18705, _18707, _18709] : [-(s_afs(_18707, _18703, _18699, _18695, _18691, _18687, _18683, _18679)), s_afs(_18709, _18705, _18701, _18697, _18693, _18689, _18685, _18681), _18709 = _18707, _18705 = _18703, _18701 = _18699, _18697 = _18695, _18693 = _18691, _18689 = _18687, _18685 = _18683, _18681 = _18679], (588 ^ _18419) ^ [_28490, _28492, _28494, _28496, _28498, _28500] : [s_t(_28500, _28498, _28496), s_t(_28494, _28492, _28490), s_e(_28500, _28498, _28494, _28492), s_e(_28498, _28496, _28492, _28490), -(s_e(_28500, _28496, _28494, _28490))], (144 ^ _18419) ^ [_21031, _21033, _21035, _21037, _21039, _21041, _21043, _21045, _21047, _21049, _21051, _21053, _21055, _21057, _21059, _21061] : [-(s_fs(_21059, _21055, _21051, _21047, _21043, _21039, _21035, _21031)), s_fs(_21061, _21057, _21053, _21049, _21045, _21041, _21037, _21033), _21061 = _21059, _21057 = _21055, _21053 = _21051, _21049 = _21047, _21045 = _21043, _21041 = _21039, _21037 = _21035, _21033 = _21031], (1878 ^ _18419) ^ [_52518, _52520, _52522] : [s_t(_52520, _52522, _52518), -(_52522 = _52520), -(xb = _52520), -(sameside(_52522, _52520, _52518))], (704 ^ _18419) ^ [_30192, _30194, _30196, _30198] : [s_t(_30198, _30196, _30194), s_t(_30196, _30192, _30194), -(s_t(_30198, _30192, _30194))], (1728 ^ _18419) ^ [_47188, _47190, _47192, _47194, _47196, _47198] : [s_e3(_47198, _47196, _47194, _47192, _47190, _47188), -(s_e(_47198, _47196, _47192, _47190))], (1740 ^ _18419) ^ [_47628, _47630, _47632, _47634, _47636, _47638] : [s_e3(_47638, _47636, _47634, _47632, _47630, _47628), -(s_e(_47636, _47634, _47630, _47628))], (1594 ^ _18419) ^ [_42871, _42873, _42875] : [-(s_e(_42875, _42873, s(_42871, _42875), s(_42871, _42873)))], (782 ^ _18419) ^ [_31383, _31385, _31387, _31389, _31391, _31393] : [s_t(_31393, _31391, _31389), s_t(_31387, _31385, _31383), s_e(_31393, _31389, _31387, _31383), s_e(_31391, _31389, _31385, _31383), -(s_e(_31393, _31391, _31387, _31385))], (222 ^ _18419) ^ [_22422, _22424, _22426, _22428, _22430, _22432, _22434, _22436] : [-(s_e(_22434, _22430, _22426, _22422)), s_e(_22436, _22432, _22428, _22424), _22436 = _22434, _22432 = _22430, _22428 = _22426, _22424 = _22422], (1810 ^ _18419) ^ [_50134, _50136, _50138, _50140, _50142, _50144, _50146, _50148] : [s_fs(_50148, _50146, _50144, _50142, _50140, _50138, _50136, _50134), -(s_e(_50146, _50142, _50138, _50134))], (1012 ^ _18419) ^ [_34778, _34780, _34782, _34784, _34786] : [-(le(_34786, _34784, _34782, _34780)), s_t(_34786, _34784, _34778), s_e(_34786, _34778, _34782, _34780)], (472 ^ _18419) ^ [_26697, _26699] : [-(s_e(_26699, _26697, _26697, _26699))], (748 ^ _18419) ^ [_30812, _30814, _30816, _30818, _30820, _30822] : [s_t(_30822, _30820, _30818), s_t(_30816, _30814, _30818), s_t(_30822, _30812, _30816), -(s_t(_30812, crossbar(_30822, _30820, _30818, _30816, _30814, _30812), _30818))], (1534 ^ _18419) ^ [_42011, _42013] : [s_m(_42013, _42011, _42013), -(_42011 = _42013)], (586 ^ _18419) ^ [_28463, _28465] : [-(s_e(_28465, _28465, _28463, _28463))], (1250 ^ _18419) ^ [_38195, _38197, _38199, _38201] : [-(_38201 = _38199), -(_38197 = _38195), -(sameside(insert(_38197, _38195, _38199, _38201), _38199, _38201))], (96 ^ _18419) ^ [_20217, _20219, _20221, _20223, _20225, _20227] : [-(s_col(_20225, _20221, _20217)), s_col(_20227, _20223, _20219), _20227 = _20225, _20223 = _20221, _20219 = _20217], (1360 ^ _18419) ^ [_39531, _39533, _39535, _39537] : [-(_39537 = _39535), -(_39537 = _39533), s_t(_39535, _39537, _39533), sameside(_39531, _39537, _39533), -(s_col(_39531, _39537, _39535))], (1856 ^ _18419) ^ [_51842, _51844, _51846] : [sameside(_51846, _51844, _51842), _51846 = _51844], (1582 ^ _18419) ^ [_42708, _42710] : [s(_42710, _42708) = _42708, -(_42708 = _42710)], (1022 ^ _18419) ^ [_34928, _34930, _34932, _34934, _34936, _34938, _34940, _34942] : [le(_34942, _34940, _34938, _34936), s_e(_34942, _34940, _34934, _34932), s_e(_34938, _34936, _34930, _34928), -(le(_34934, _34932, _34930, _34928))], (524 ^ _18419) ^ [_27496, _27498] : [s_t(_27498, _27496, _27498), -(_27498 = _27496)], (1212 ^ _18419) ^ [_37711, _37713, _37715] : [sameside(_37715, _37713, _37711), s_t(_37715, _37713, _37711)], (362 ^ _18419) ^ [_24866, _24868, _24870, _24872, _24874, _24876, _24878, _24880, _24882, _24884] : [-(insert5(_24884, _24880, _24876, _24872, _24868) = insert5(_24882, _24878, _24874, _24870, _24866)), _24884 = _24882, _24880 = _24878, _24876 = _24874, _24872 = _24870, _24868 = _24866], (1640 ^ _18419) ^ [_43882, _43884, _43886, _43888, _43890, _43892, _43894, _43896] : [s_t(_43896, _43894, _43892), s_t(_43888, _43886, _43884), s_e(_43896, _43894, _43888, _43886), s_e(_43894, _43892, _43886, _43884), s_e(_43896, _43890, _43888, _43882), s_e(_43894, _43890, _43886, _43882), -(s_afs(_43896, _43894, _43892, _43890, _43888, _43886, _43884, _43882))], (1048 ^ _18419) ^ [_35355, _35357, _35359, _35361] : [le(_35361, _35359, _35357, _35355), le(_35357, _35355, _35361, _35359), -(s_e(_35361, _35359, _35357, _35355))], (1172 ^ _18419) ^ [_37115, _37117, _37119] : [sameside(_37119, _37117, _37115), -(s_t(_37119, _37117, c63(_37119, _37117, _37115)))], (724 ^ _18419) ^ [_30486, _30488, _30490, _30492] : [s_t(_30492, _30490, _30488), s_t(_30490, _30488, _30486), -(_30490 = _30488), -(s_t(_30492, _30490, _30486))], (1846 ^ _18419) ^ [_51461, _51463, _51465, _51467, _51469] : [s_t(_51465, _51461, _51463), s_e(_51469, _51467, _51465, _51461), -(le(_51469, _51467, _51465, _51463))], (1096 ^ _18419) ^ [_36010, _36012, _36014] : [s_col(_36014, _36012, _36010), -(s_t(_36014, _36012, _36010)), le(_36014, _36012, _36014, _36010), le(_36012, _36010, _36014, _36010)], (1058 ^ _18419) ^ [_35504, _35506, _35508, _35510] : [-(le(_35510, _35508, _35506, _35504)), -(le(_35506, _35504, _35510, _35508))], (554 ^ _18419) ^ [] : [s_t(gamma, alpha, beta)], (1604 ^ _18419) ^ [_43082, _43084, _43086, _43088, _43090, _43092, _43094, _43096] : [s_afs(_43096, _43094, _43092, _43090, _43088, _43086, _43084, _43082), -(s_t(_43096, _43094, _43092))], (1306 ^ _18419) ^ [_38845, _38847, _38849] : [sameside(_38849, _38847, _38845), -(le(_38847, _38849, _38847, _38845)), s_t(_38847, _38849, _38845)], (416 ^ _18419) ^ [_25777, _25779, _25781, _25783] : [-(pointOffLine(_25783, _25779) = pointOffLine(_25781, _25777)), _25783 = _25781, _25779 = _25777], (574 ^ _18419) ^ [_28281, _28283, _28285, _28287] : [s_e(_28287, _28285, _28283, _28281), -(s_e(_28285, _28287, _28283, _28281))], (474 ^ _18419) ^ [_26724, _26726, _26728, _26730, _26732, _26734] : [s_e(_26734, _26732, _26730, _26728), s_e(_26734, _26732, _26726, _26724), -(s_e(_26730, _26728, _26726, _26724))], (384 ^ _18419) ^ [_25255, _25257, _25259, _25261, _25263, _25265, _25267, _25269] : [-(ins(_25269, _25265, _25261, _25257) = ins(_25267, _25263, _25259, _25255)), _25269 = _25267, _25265 = _25263, _25261 = _25259, _25257 = _25255], (1666 ^ _18419) ^ [_44853, _44855, _44857, _44859, _44861, _44863, _44865, _44867] : [s_ifs(_44867, _44865, _44863, _44861, _44859, _44857, _44855, _44853), -(s_t(_44867, _44865, _44863))], (1622 ^ _18419) ^ [_43399, _43401, _43403, _43405, _43407, _43409, _43411, _43413] : [s_afs(_43413, _43411, _43409, _43407, _43405, _43403, _43401, _43399), -(s_e(_43411, _43409, _43403, _43401))], (114 ^ _18419) ^ [_20486, _20488, _20490, _20492, _20494, _20496, _20498, _20500, _20502, _20504, _20506, _20508] : [-(s_e3(_20506, _20502, _20498, _20494, _20490, _20486)), s_e3(_20508, _20504, _20500, _20496, _20492, _20488), _20508 = _20506, _20504 = _20502, _20500 = _20498, _20496 = _20494, _20492 = _20490, _20488 = _20486], (606 ^ _18419) ^ [_28778, _28780, _28782, _28784, _28786] : [-(_28786 = _28784), s_t(_28786, _28784, _28782), s_e(_28784, _28782, _28780, _28778), -(_28782 = ext(_28786, _28784, _28780, _28778))], (490 ^ _18419) ^ [_26968, _26970, _26972, _26974] : [-(s_t(_26974, _26972, ext(_26974, _26972, _26970, _26968)))], (540 ^ _18419) ^ [_27754, _27756, _27758, _27760, _27762] : [s_t(_27762, _27760, _27758), s_t(_27756, _27754, _27758), -(s_t(_27754, ip(_27762, _27760, _27758, _27756, _27754), _27762))], (1940 ^ _18419) ^ [_54549, _54551, _54553, _54555, _54557, _54559, _54561] : [s_kf(_54561, _54559, _54557, _54555, _54553, _54551, _54549), -(s_e(_54555, _54561, _54555, _54557))], (1918 ^ _18419) ^ [_53702, _53704, _53706] : [s_t(_53706, _53704, _53702), s_e(_53704, _53706, _53704, _53702), -(s_m(_53706, _53704, _53702))], (1154 ^ _18419) ^ [_36855, _36857, _36859] : [sameside(_36859, _36857, _36855), _36859 = _36857], (1086 ^ _18419) ^ [_35867, _35869, _35871] : [s_t(_35871, _35869, _35867), s_e(_35871, _35867, _35871, _35869), -(_35867 = _35869)], (848 ^ _18419) ^ [_32436, _32438, _32440] : [s_col(_32440, _32438, _32436), -(s_col(_32438, _32440, _32436))], (1548 ^ _18419) ^ [_42197, _42199, _42201, _42203] : [s_m(_42203, _42201, _42199), s_m(_42203, _42201, _42197), -(_42199 = _42197)], (1780 ^ _18419) ^ [_48918, _48920, _48922] : [-(s_col(_48922, _48920, _48918)), s_t(_48920, _48918, _48922)], (314 ^ _18419) ^ [_23992, _23994, _23996, _23998, _24000, _24002, _24004, _24006, _24008, _24010] : [-(ip(_24010, _24006, _24002, _23998, _23994) = ip(_24008, _24004, _24000, _23996, _23992)), _24010 = _24008, _24006 = _24004, _24002 = _24000, _23998 = _23996, _23994 = _23992], (690 ^ _18419) ^ [_30032, _30034, _30036, _30038] : [s_t(_30038, _30036, _30034), s_t(_30036, _30034, _30032), -(_30036 = _30034), -(s_t(_30038, _30034, _30032))], (1774 ^ _18419) ^ [_48724, _48726, _48728] : [-(s_col(_48728, _48726, _48724)), s_t(_48728, _48726, _48724)], (1746 ^ _18419) ^ [_47828, _47830, _47832, _47834, _47836, _47838] : [s_e(_47838, _47836, _47832, _47830), s_e(_47838, _47834, _47832, _47828), s_e(_47836, _47834, _47830, _47828), -(s_e3(_47838, _47836, _47834, _47832, _47830, _47828))], (494 ^ _18419) ^ [_27038, _27040, _27042, _27044, _27046, _27048, _27050, _27052] : [s_e(_27052, _27050, _27048, _27046), s_e(_27050, _27044, _27046, _27042), s_e(_27052, _27040, _27048, _27038), s_e(_27050, _27040, _27046, _27038), s_t(_27052, _27050, _27044), s_t(_27048, _27046, _27042), -(_27052 = _27050), -(s_e(_27044, _27040, _27042, _27038))], (1528 ^ _18419) ^ [_41926, _41928, _41930] : [s_m(_41930, _41928, _41926), -(s_m(_41926, _41928, _41930))], (244 ^ _18419) ^ [_22775, _22777, _22779, _22781, _22783, _22785] : [-(s_m(_22783, _22779, _22775)), s_m(_22785, _22781, _22777), _22785 = _22783, _22781 = _22779, _22777 = _22775], (1588 ^ _18419) ^ [_42792, _42794] : [-(s(_42794, _42792) = _42792), _42792 = _42794], (1798 ^ _18419) ^ [_49658, _49660, _49662, _49664, _49666, _49668, _49670, _49672] : [s_fs(_49672, _49670, _49668, _49666, _49664, _49662, _49660, _49658), -(s_e3(_49672, _49670, _49668, _49664, _49662, _49660))], (1540 ^ _18419) ^ [_42091, _42093] : [-(s_m(_42093, _42091, _42093)), _42091 = _42093], (1006 ^ _18419) ^ [_34658, _34660, _34662, _34664] : [le(_34664, _34662, _34660, _34658), -(ins(_34660, _34658, _34664, _34662) = ext(_34664, _34662, insert(_34664, _34662, _34660, _34658), _34658))], (1952 ^ _18419) ^ [_55005, _55007, _55009, _55011, _55013, _55015, _55017] : [s_kf(_55017, _55015, _55013, _55011, _55009, _55007, _55005), -(s_m(_55017, _55015, _55013))], (1840 ^ _18419) ^ [_51261, _51263, _51265, _51267, _51269] : [le(_51269, _51267, _51265, _51263), -(s_e(_51269, _51267, _51265, insert(_51269, _51267, _51265, _51263)))], (980 ^ _18419) ^ [_34285, _34287, _34289, _34291] : [s_t(_34291, _34289, _34287), s_t(_34291, _34285, _34287), -(s_t(_34291, _34289, _34285)), -(s_t(_34291, _34285, _34289))], (884 ^ _18419) ^ [_32990, _32992, _32994, _32996, _32998, _33000, _33002, _33004] : [s_fs(_33004, _33002, _33000, _32998, _32996, _32994, _32992, _32990), -(_33004 = _33002), -(s_e(_33000, _32998, _32992, _32990))], (660 ^ _18419) ^ [_29597, _29599, _29601] : [s_t(_29601, _29599, _29597), s_t(_29599, _29601, _29597), -(_29601 = _29599)], (1628 ^ _18419) ^ [_43506, _43508, _43510, _43512, _43514, _43516, _43518, _43520] : [s_afs(_43520, _43518, _43516, _43514, _43512, _43510, _43508, _43506), -(s_e(_43520, _43514, _43512, _43506))], (650 ^ _18419) ^ [_29460, _29462] : [-(s_t(_29462, _29460, _29460))], (1678 ^ _18419) ^ [_45321, _45323, _45325, _45327, _45329, _45331, _45333, _45335] : [s_ifs(_45335, _45333, _45331, _45329, _45327, _45325, _45323, _45321), -(s_e(_45335, _45331, _45327, _45323))], (1448 ^ _18419) ^ [_40684, _40686, _40688, _40690, _40692] : [-(_40692 = _40690), -(_40688 = _40686), s_col(_40688, _40686, _40692), s_col(_40688, _40686, _40690), s_col(_40688, _40686, _40684), -(s_col(_40692, _40690, _40684))], (1786 ^ _18419) ^ [_49092, _49094, _49096] : [-(s_col(_49096, _49094, _49092)), s_t(_49092, _49096, _49094)], (262 ^ _18419) ^ [_23044, _23046, _23048, _23050, _23052, _23054, _23056, _23058, _23060, _23062, _23064, _23066, _23068, _23070] : [-(s_kf(_23068, _23064, _23060, _23056, _23052, _23048, _23044)), s_kf(_23070, _23066, _23062, _23058, _23054, _23050, _23046), _23070 = _23068, _23066 = _23064, _23062 = _23060, _23058 = _23056, _23054 = _23052, _23050 = _23048, _23046 = _23044], (810 ^ _18419) ^ [_31849, _31851, _31853, _31855, _31857] : [s_t(_31857, _31855, _31853), s_e(_31857, _31853, _31851, _31849), -(s_e3(_31857, _31855, _31853, _31851, insert(_31857, _31855, _31851, _31849), _31849))], (862 ^ _18419) ^ [_32632, _32634] : [-(s_col(_32634, _32632, _32634))], (1760 ^ _18419) ^ [_48338, _48340, _48342] : [s_col(_48342, _48340, _48338), -(s_t(_48342, _48340, _48338)), -(s_t(_48340, _48338, _48342)), -(s_t(_48338, _48342, _48340))], (1546 ^ _18419) ^ [_42168, _42170] : [-(s_m(_42170, _42168, s(_42168, _42170)))], (1906 ^ _18419) ^ [_53332, _53334, _53336] : [s_m(_53336, _53334, _53332), -(s_t(_53336, _53334, _53332))], (1834 ^ _18419) ^ [_51043, _51045, _51047, _51049, _51051] : [le(_51051, _51049, _51047, _51045), -(s_t(_51047, insert(_51051, _51049, _51047, _51045), _51045))], (1564 ^ _18419) ^ [_42431, _42433] : [-(s(_42433, s(_42433, _42431)) = _42431)], (58 ^ _18419) ^ [_19448, _19450, _19452, _19454, _19456, _19458, _19460, _19462, _19464, _19466, _19468, _19470, _19472, _19474, _19476, _19478] : [-(s_ifs(_19476, _19472, _19468, _19464, _19460, _19456, _19452, _19448)), s_ifs(_19478, _19474, _19470, _19466, _19462, _19458, _19454, _19450), _19478 = _19476, _19474 = _19472, _19470 = _19468, _19466 = _19464, _19462 = _19460, _19458 = _19456, _19454 = _19452, _19450 = _19448], (746 ^ _18419) ^ [_30761, _30763] : [_30763 = ext(_30761, _30763, alpha, gamma)], (1160 ^ _18419) ^ [_36939, _36941, _36943] : [sameside(_36943, _36941, _36939), _36939 = _36941], (1234 ^ _18419) ^ [_37969, _37971, _37973] : [sameside(_37973, _37971, _37969), -(sameside(_37969, _37971, _37973))], (1296 ^ _18419) ^ [_38700, _38702, _38704] : [sameside(_38704, _38702, _38700), le(_38702, _38704, _38702, _38700), -(s_t(_38702, _38704, _38700))], (1206 ^ _18419) ^ [_37630, _37632, _37634] : [sameside(_37634, _37632, _37630), -(s_col(_37634, _37632, _37630))], (1218 ^ _18419) ^ [_37798, _37800, _37802] : [-(sameside(_37802, _37800, _37798)), s_col(_37802, _37800, _37798), -(s_t(_37802, _37800, _37798))], (714 ^ _18419) ^ [_30339, _30341, _30343, _30345] : [s_t(_30345, _30343, _30341), s_t(_30345, _30341, _30339), -(s_t(_30345, _30343, _30339))], (1240 ^ _18419) ^ [_38054, _38056, _38058, _38060] : [sameside(_38060, _38058, _38056), sameside(_38056, _38058, _38054), -(sameside(_38060, _38058, _38054))], (652 ^ _18419) ^ [_29486, _29488, _29490] : [s_t(_29490, _29488, _29486), -(s_t(_29486, _29488, _29490))], (740 ^ _18419) ^ [] : [beta = gamma], (1928 ^ _18419) ^ [_54097, _54099, _54101, _54103, _54105, _54107, _54109] : [s_kf(_54109, _54107, _54105, _54103, _54101, _54099, _54097), -(s_t(_54109, _54103, _54097))]], input).
% 51.91/51.06  ncf('1',plain,[-(s_t(s(1992 ^ [], 1989 ^ []), s(1992 ^ [], 1990 ^ []), s(1992 ^ [], 1991 ^ [])))],start(1996 ^ 0)).
% 51.91/51.06  ncf('1.1',plain,[s_t(s(1992 ^ [], 1989 ^ []), s(1992 ^ [], 1990 ^ []), s(1992 ^ [], 1991 ^ [])), -(s_t(s(1992 ^ [], s(1992 ^ [], 1989 ^ [])), s(1992 ^ [], s(1992 ^ [], 1990 ^ [])), s(1992 ^ [], s(1992 ^ [], 1991 ^ []))))],extension(1596 ^ 1,bind([[_42906, _42908, _42910, _42912], [1992 ^ [], s(1992 ^ [], 1991 ^ []), s(1992 ^ [], 1990 ^ []), s(1992 ^ [], 1989 ^ [])]]))).
% 51.91/51.06  ncf('1.1.1',plain,[s_t(s(1992 ^ [], s(1992 ^ [], 1989 ^ [])), s(1992 ^ [], s(1992 ^ [], 1990 ^ [])), s(1992 ^ [], s(1992 ^ [], 1991 ^ []))), -(s_t(1989 ^ [], 1990 ^ [], 1991 ^ [])), s(1992 ^ [], s(1992 ^ [], 1989 ^ [])) = 1989 ^ [], s(1992 ^ [], s(1992 ^ [], 1990 ^ [])) = 1990 ^ [], s(1992 ^ [], s(1992 ^ [], 1991 ^ [])) = 1991 ^ []],extension(296 ^ 2,bind([[_23693, _23695, _23697, _23699, _23701, _23703], [1991 ^ [], s(1992 ^ [], s(1992 ^ [], 1991 ^ [])), 1990 ^ [], s(1992 ^ [], s(1992 ^ [], 1990 ^ [])), 1989 ^ [], s(1992 ^ [], s(1992 ^ [], 1989 ^ []))]]))).
% 51.91/51.06  ncf('1.1.1.1',plain,[s_t(1989 ^ [], 1990 ^ [], 1991 ^ [])],extension(1994 ^ 3)).
% 51.91/51.06  ncf('1.1.1.2',plain,[-(s(1992 ^ [], s(1992 ^ [], 1989 ^ [])) = 1989 ^ [])],extension(1564 ^ 3,bind([[_42431, _42433], [1989 ^ [], 1992 ^ []]]))).
% 51.91/51.06  ncf('1.1.1.3',plain,[-(s(1992 ^ [], s(1992 ^ [], 1990 ^ [])) = 1990 ^ [])],extension(1564 ^ 3,bind([[_42431, _42433], [1990 ^ [], 1992 ^ []]]))).
% 51.91/51.06  ncf('1.1.1.4',plain,[-(s(1992 ^ [], s(1992 ^ [], 1991 ^ [])) = 1991 ^ [])],extension(1564 ^ 3,bind([[_42431, _42433], [1991 ^ [], 1992 ^ []]]))).
% 51.91/51.06  %-----------------------------------------------------
% 51.91/51.06  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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