TSTP Solution File: SEV086^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEV086^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n006.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  : 600s
% DateTime : Tue Jul 19 17:34:44 EDT 2022

% Result   : Theorem 4.46s 4.67s
% Output   : CNFRefutation 11.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   51
%            Number of leaves      :  818
% Syntax   : Number of formulae    : 3327 (   9 unt; 817 typ;   0 def)
%            Number of atoms       : 56284 (28820 equ;   0 cnn)
%            Maximal formula atoms :    6 (  22 avg)
%            Number of connectives : 47037 (2879   ~;10804   |;  26   &;33316   @)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 32261 (32261   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  820 ( 817 usr;  50 con; 0-2 aty)
%            Number of variables   : 34752 (30776   ^3972   !;   4   ?;34752   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_sK100_E,type,
    sK100_E: $i > $i ).

thf(tp_sK101_E,type,
    sK101_E: $i > $i ).

thf(tp_sK102_E,type,
    sK102_E: $i > $i ).

thf(tp_sK103_E,type,
    sK103_E: $i > $i ).

thf(tp_sK104_E,type,
    sK104_E: $i > $i ).

thf(tp_sK105_E,type,
    sK105_E: $i > $i ).

thf(tp_sK106_E,type,
    sK106_E: $i > $i ).

thf(tp_sK107_E,type,
    sK107_E: $i > $i ).

thf(tp_sK108_E,type,
    sK108_E: $i > $i ).

thf(tp_sK109_E,type,
    sK109_E: $i > $i ).

thf(tp_sK10_SV55,type,
    sK10_SV55: $i > $i ).

thf(tp_sK110_E,type,
    sK110_E: $i > $i ).

thf(tp_sK111_E,type,
    sK111_E: $i > $i ).

thf(tp_sK112_E,type,
    sK112_E: $i > $i ).

thf(tp_sK113_E,type,
    sK113_E: $i > $i ).

thf(tp_sK114_E,type,
    sK114_E: $i > $i ).

thf(tp_sK115_E,type,
    sK115_E: $i > $i ).

thf(tp_sK116_E,type,
    sK116_E: $i > $i ).

thf(tp_sK117_E,type,
    sK117_E: $i > $i ).

thf(tp_sK118_E,type,
    sK118_E: $i > $i ).

thf(tp_sK119_E,type,
    sK119_E: $i > $i ).

thf(tp_sK11_SV56,type,
    sK11_SV56: $i > $i ).

thf(tp_sK120_E,type,
    sK120_E: $i > $i ).

thf(tp_sK121_E,type,
    sK121_E: $i > $i ).

thf(tp_sK122_E,type,
    sK122_E: $i > $i ).

thf(tp_sK123_E,type,
    sK123_E: $i > $i ).

thf(tp_sK124_E,type,
    sK124_E: $i > $i ).

thf(tp_sK125_E,type,
    sK125_E: $i > $i ).

thf(tp_sK126_E,type,
    sK126_E: $i > $i ).

thf(tp_sK127_E,type,
    sK127_E: $i > $i ).

thf(tp_sK128_E,type,
    sK128_E: $i > $i ).

thf(tp_sK129_E,type,
    sK129_E: $i > $i ).

thf(tp_sK12_SV57,type,
    sK12_SV57: $i ).

thf(tp_sK130_E,type,
    sK130_E: $i > $i ).

thf(tp_sK131_E,type,
    sK131_E: $i > $i ).

thf(tp_sK132_E,type,
    sK132_E: $i > $i ).

thf(tp_sK133_E,type,
    sK133_E: $i > $i ).

thf(tp_sK134_E,type,
    sK134_E: $i > $i ).

thf(tp_sK135_E,type,
    sK135_E: $i > $i ).

thf(tp_sK136_E,type,
    sK136_E: $i > $i ).

thf(tp_sK137_E,type,
    sK137_E: $i > $i ).

thf(tp_sK138_E,type,
    sK138_E: $i > $i ).

thf(tp_sK139_E,type,
    sK139_E: $i > $i ).

thf(tp_sK13_SV58,type,
    sK13_SV58: $i ).

thf(tp_sK140_E,type,
    sK140_E: $i > $i ).

thf(tp_sK141_E,type,
    sK141_E: $i > $i ).

thf(tp_sK142_E,type,
    sK142_E: $i > $i ).

thf(tp_sK143_E,type,
    sK143_E: $i > $i ).

thf(tp_sK144_E,type,
    sK144_E: $i > $i ).

thf(tp_sK145_E,type,
    sK145_E: $i > $i ).

thf(tp_sK146_E,type,
    sK146_E: $i > $i ).

thf(tp_sK147_E,type,
    sK147_E: $i > $i ).

thf(tp_sK148_E,type,
    sK148_E: $i > $i ).

thf(tp_sK149_E,type,
    sK149_E: $i > $i ).

thf(tp_sK14_SV69,type,
    sK14_SV69: $i > $i ).

thf(tp_sK150_E,type,
    sK150_E: $i > $i ).

thf(tp_sK151_E,type,
    sK151_E: $i > $i ).

thf(tp_sK152_E,type,
    sK152_E: $i > $i ).

thf(tp_sK153_E,type,
    sK153_E: $i > $i ).

thf(tp_sK154_E,type,
    sK154_E: $i > $i ).

thf(tp_sK155_E,type,
    sK155_E: $i > $i ).

thf(tp_sK156_E,type,
    sK156_E: $i > $i ).

thf(tp_sK157_E,type,
    sK157_E: $i > $i ).

thf(tp_sK158_E,type,
    sK158_E: $i > $i ).

thf(tp_sK159_E,type,
    sK159_E: $i > $i ).

thf(tp_sK15_SV72,type,
    sK15_SV72: $i > $i ).

thf(tp_sK160_E,type,
    sK160_E: $i > $i ).

thf(tp_sK161_E,type,
    sK161_E: $i > $i ).

thf(tp_sK162_E,type,
    sK162_E: $i > $i ).

thf(tp_sK163_E,type,
    sK163_E: $i > $i ).

thf(tp_sK164_E,type,
    sK164_E: $i > $i ).

thf(tp_sK165_E,type,
    sK165_E: $i > $i ).

thf(tp_sK166_E,type,
    sK166_E: $i > $i ).

thf(tp_sK167_E,type,
    sK167_E: $i > $i ).

thf(tp_sK168_E,type,
    sK168_E: $i > $i ).

thf(tp_sK169_E,type,
    sK169_E: $i > $i ).

thf(tp_sK16_SV75,type,
    sK16_SV75: $i > $i ).

thf(tp_sK170_E,type,
    sK170_E: $i ).

thf(tp_sK171_E,type,
    sK171_E: $i ).

thf(tp_sK172_SV321,type,
    sK172_SV321: $i > $i ).

thf(tp_sK173_SV322,type,
    sK173_SV322: $i > $i ).

thf(tp_sK174_SV323,type,
    sK174_SV323: $i > $i ).

thf(tp_sK175_SV324,type,
    sK175_SV324: $i > $i ).

thf(tp_sK176_SV325,type,
    sK176_SV325: $i ).

thf(tp_sK177_SV326,type,
    sK177_SV326: $i > $i > $i ).

thf(tp_sK178_SV327,type,
    sK178_SV327: $i > $i > $i ).

thf(tp_sK179_SV328,type,
    sK179_SV328: $i > $i > $i ).

thf(tp_sK17_SV78,type,
    sK17_SV78: $i > $i ).

thf(tp_sK180_SV329,type,
    sK180_SV329: $i > $i > $i ).

thf(tp_sK181_SV330,type,
    sK181_SV330: $i > $i > $i ).

thf(tp_sK182_SV331,type,
    sK182_SV331: $i > $i > $i ).

thf(tp_sK183_SV332,type,
    sK183_SV332: $i > $i > $i ).

thf(tp_sK184_SV333,type,
    sK184_SV333: $i > $i > $i ).

thf(tp_sK185_SV334,type,
    sK185_SV334: $i ).

thf(tp_sK186_SV335,type,
    sK186_SV335: $i > $i ).

thf(tp_sK187_SV336,type,
    sK187_SV336: $i > $i ).

thf(tp_sK188_SV337,type,
    sK188_SV337: $i > $i ).

thf(tp_sK189_SV338,type,
    sK189_SV338: $i > $i ).

thf(tp_sK18_SV81,type,
    sK18_SV81: $i > $i ).

thf(tp_sK190_SV339,type,
    sK190_SV339: $i > $i ).

thf(tp_sK191_SV340,type,
    sK191_SV340: $i > $i ).

thf(tp_sK192_SV341,type,
    sK192_SV341: $i > $i ).

thf(tp_sK193_SV342,type,
    sK193_SV342: $i > $i ).

thf(tp_sK194_SV344,type,
    sK194_SV344: $i > $i ).

thf(tp_sK195_SV345,type,
    sK195_SV345: $i > $i ).

thf(tp_sK196_SV347,type,
    sK196_SV347: $i > $i ).

thf(tp_sK197_SV348,type,
    sK197_SV348: $i > $i ).

thf(tp_sK198_SV350,type,
    sK198_SV350: $i ).

thf(tp_sK199_SV351,type,
    sK199_SV351: $i ).

thf(tp_sK19_SV84,type,
    sK19_SV84: $i > $i ).

thf(tp_sK1_Xx,type,
    sK1_Xx: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK200_SV352,type,
    sK200_SV352: $i ).

thf(tp_sK201_SV353,type,
    sK201_SV353: $i ).

thf(tp_sK202_SV354,type,
    sK202_SV354: $i ).

thf(tp_sK203_SV356,type,
    sK203_SV356: $i ).

thf(tp_sK204_SV357,type,
    sK204_SV357: $i ).

thf(tp_sK205_SV358,type,
    sK205_SV358: $i ).

thf(tp_sK206_SV359,type,
    sK206_SV359: $i ).

thf(tp_sK207_SV360,type,
    sK207_SV360: $i ).

thf(tp_sK208_SV366,type,
    sK208_SV366: $i > $i ).

thf(tp_sK209_SV367,type,
    sK209_SV367: $i > $i ).

thf(tp_sK20_SV87,type,
    sK20_SV87: $i > $i ).

thf(tp_sK210_SV369,type,
    sK210_SV369: $i > $i ).

thf(tp_sK211_SV370,type,
    sK211_SV370: $i > $i ).

thf(tp_sK212_SV372,type,
    sK212_SV372: $i ).

thf(tp_sK213_SV378,type,
    sK213_SV378: $i ).

thf(tp_sK214_SV396,type,
    sK214_SV396: $i ).

thf(tp_sK215_SV398,type,
    sK215_SV398: $i ).

thf(tp_sK216_SV401,type,
    sK216_SV401: $i ).

thf(tp_sK217_SV403,type,
    sK217_SV403: $i ).

thf(tp_sK218_SV405,type,
    sK218_SV405: $i ).

thf(tp_sK219_SV407,type,
    sK219_SV407: $i ).

thf(tp_sK21_SV90,type,
    sK21_SV90: $i > $i ).

thf(tp_sK220_SV414,type,
    sK220_SV414: $i > $i ).

thf(tp_sK221_SV415,type,
    sK221_SV415: $i > $i ).

thf(tp_sK222_SV417,type,
    sK222_SV417: $i > $i ).

thf(tp_sK223_SV418,type,
    sK223_SV418: $i > $i ).

thf(tp_sK224_SV420,type,
    sK224_SV420: $i ).

thf(tp_sK225_SV426,type,
    sK225_SV426: $i ).

thf(tp_sK226_SV431,type,
    sK226_SV431: $i > $i ).

thf(tp_sK227_SV432,type,
    sK227_SV432: $i > $i ).

thf(tp_sK228_SV433,type,
    sK228_SV433: $i > $i ).

thf(tp_sK229_SV434,type,
    sK229_SV434: $i > $i ).

thf(tp_sK22_SV100,type,
    sK22_SV100: $i > $i ).

thf(tp_sK230_SV435,type,
    sK230_SV435: $i ).

thf(tp_sK231_SV436,type,
    sK231_SV436: $i > $i ).

thf(tp_sK232_SV437,type,
    sK232_SV437: $i ).

thf(tp_sK233_SV438,type,
    sK233_SV438: $i > $i ).

thf(tp_sK234_SV439,type,
    sK234_SV439: $i ).

thf(tp_sK235_SV440,type,
    sK235_SV440: $i > $i ).

thf(tp_sK236_SV441,type,
    sK236_SV441: $i ).

thf(tp_sK237_SV442,type,
    sK237_SV442: $i > $i ).

thf(tp_sK238_SV443,type,
    sK238_SV443: $i > $i ).

thf(tp_sK239_SV444,type,
    sK239_SV444: $i > $i ).

thf(tp_sK23_SV102,type,
    sK23_SV102: $i > $i ).

thf(tp_sK240_SV445,type,
    sK240_SV445: $i > $i ).

thf(tp_sK241_SV446,type,
    sK241_SV446: $i > $i ).

thf(tp_sK242_SV447,type,
    sK242_SV447: $i ).

thf(tp_sK243_SV452,type,
    sK243_SV452: $i ).

thf(tp_sK244_SV457,type,
    sK244_SV457: $i > $i > $i ).

thf(tp_sK245_SV458,type,
    sK245_SV458: $i > $i > $i ).

thf(tp_sK246_SV460,type,
    sK246_SV460: $i > $i ).

thf(tp_sK247_SV462,type,
    sK247_SV462: $i > $i ).

thf(tp_sK248_SV464,type,
    sK248_SV464: $i > $i ).

thf(tp_sK249_SV466,type,
    sK249_SV466: $i > $i ).

thf(tp_sK24_SV104,type,
    sK24_SV104: $i > $i ).

thf(tp_sK250_SV471,type,
    sK250_SV471: $i ).

thf(tp_sK251_SV473,type,
    sK251_SV473: $i ).

thf(tp_sK252_SV475,type,
    sK252_SV475: $i ).

thf(tp_sK253_SV477,type,
    sK253_SV477: $i ).

thf(tp_sK254_SV519,type,
    sK254_SV519: $i > $i ).

thf(tp_sK255_SV520,type,
    sK255_SV520: $i ).

thf(tp_sK256_SV521,type,
    sK256_SV521: $i > $i ).

thf(tp_sK257_SV522,type,
    sK257_SV522: $i ).

thf(tp_sK258_SV523,type,
    sK258_SV523: $i > $i ).

thf(tp_sK259_SV524,type,
    sK259_SV524: $i ).

thf(tp_sK25_SV106,type,
    sK25_SV106: $i > $i ).

thf(tp_sK260_SV525,type,
    sK260_SV525: $i > $i ).

thf(tp_sK261_SV526,type,
    sK261_SV526: $i ).

thf(tp_sK262_SV531,type,
    sK262_SV531: $i > $i ).

thf(tp_sK263_SV532,type,
    sK263_SV532: $i > $i ).

thf(tp_sK264_SV533,type,
    sK264_SV533: $i > $i ).

thf(tp_sK265_SV534,type,
    sK265_SV534: $i > $i ).

thf(tp_sK266_SV535,type,
    sK266_SV535: $i > $i ).

thf(tp_sK267_SV536,type,
    sK267_SV536: $i > $i ).

thf(tp_sK268_SV537,type,
    sK268_SV537: $i > $i ).

thf(tp_sK269_SV538,type,
    sK269_SV538: $i > $i ).

thf(tp_sK26_SV108,type,
    sK26_SV108: $i > $i ).

thf(tp_sK270_SV539,type,
    sK270_SV539: $i > $i ).

thf(tp_sK271_SV540,type,
    sK271_SV540: $i > $i ).

thf(tp_sK272_SV541,type,
    sK272_SV541: $i > $i ).

thf(tp_sK273_SV542,type,
    sK273_SV542: $i > $i ).

thf(tp_sK274_SV543,type,
    sK274_SV543: $i > $i ).

thf(tp_sK275_SV544,type,
    sK275_SV544: $i > $i ).

thf(tp_sK276_SV545,type,
    sK276_SV545: $i > $i ).

thf(tp_sK277_SV546,type,
    sK277_SV546: $i > $i ).

thf(tp_sK278_SV547,type,
    sK278_SV547: $i > $i ).

thf(tp_sK279_SV548,type,
    sK279_SV548: $i > $i ).

thf(tp_sK27_SV110,type,
    sK27_SV110: $i > $i ).

thf(tp_sK280_SV549,type,
    sK280_SV549: $i > $i ).

thf(tp_sK281_SV550,type,
    sK281_SV550: $i > $i ).

thf(tp_sK282_SV551,type,
    sK282_SV551: $i > $i ).

thf(tp_sK283_SV552,type,
    sK283_SV552: $i > $i ).

thf(tp_sK284_SV553,type,
    sK284_SV553: $i > $i ).

thf(tp_sK285_SV554,type,
    sK285_SV554: $i > $i ).

thf(tp_sK286_SV555,type,
    sK286_SV555: $i > $i ).

thf(tp_sK287_SV556,type,
    sK287_SV556: $i > $i ).

thf(tp_sK288_SV557,type,
    sK288_SV557: $i > $i ).

thf(tp_sK289_SV558,type,
    sK289_SV558: $i > $i ).

thf(tp_sK28_SV112,type,
    sK28_SV112: $i > $i ).

thf(tp_sK290_SV559,type,
    sK290_SV559: $i > $i ).

thf(tp_sK291_SV560,type,
    sK291_SV560: $i > $i ).

thf(tp_sK292_SV561,type,
    sK292_SV561: $i > $i ).

thf(tp_sK293_SV562,type,
    sK293_SV562: $i > $i ).

thf(tp_sK294_SV563,type,
    sK294_SV563: $i > $i ).

thf(tp_sK295_SV564,type,
    sK295_SV564: $i > $i ).

thf(tp_sK296_SV565,type,
    sK296_SV565: $i > $i ).

thf(tp_sK297_SV566,type,
    sK297_SV566: $i > $i ).

thf(tp_sK298_SV567,type,
    sK298_SV567: $i > $i > $i ).

thf(tp_sK299_SV568,type,
    sK299_SV568: $i > $i > $i ).

thf(tp_sK29_SV114,type,
    sK29_SV114: $i > $i ).

thf(tp_sK2_SY8,type,
    sK2_SY8: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK300_SV569,type,
    sK300_SV569: $i > $i > $i ).

thf(tp_sK301_SV570,type,
    sK301_SV570: $i > $i > $i ).

thf(tp_sK302_SV571,type,
    sK302_SV571: $i > $i > $i ).

thf(tp_sK303_SV572,type,
    sK303_SV572: $i > $i > $i ).

thf(tp_sK304_SV573,type,
    sK304_SV573: $i > $i > $i ).

thf(tp_sK305_SV574,type,
    sK305_SV574: $i > $i > $i ).

thf(tp_sK306_SV575,type,
    sK306_SV575: $i > $i > $i ).

thf(tp_sK307_SV576,type,
    sK307_SV576: $i > $i > $i ).

thf(tp_sK308_SV577,type,
    sK308_SV577: $i > $i > $i ).

thf(tp_sK309_SV578,type,
    sK309_SV578: $i > $i > $i ).

thf(tp_sK30_SV123,type,
    sK30_SV123: $i > $i ).

thf(tp_sK310_SV579,type,
    sK310_SV579: $i > $i > $i ).

thf(tp_sK311_SV580,type,
    sK311_SV580: $i > $i > $i ).

thf(tp_sK312_SV581,type,
    sK312_SV581: $i > $i > $i ).

thf(tp_sK313_SV582,type,
    sK313_SV582: $i > $i > $i ).

thf(tp_sK314_SV583,type,
    sK314_SV583: $i > $i ).

thf(tp_sK315_SV584,type,
    sK315_SV584: $i > $i ).

thf(tp_sK316_SV585,type,
    sK316_SV585: $i > $i ).

thf(tp_sK317_SV586,type,
    sK317_SV586: $i > $i ).

thf(tp_sK318_SV587,type,
    sK318_SV587: $i > $i ).

thf(tp_sK319_SV588,type,
    sK319_SV588: $i > $i ).

thf(tp_sK31_SV124,type,
    sK31_SV124: $i > $i ).

thf(tp_sK320_SV589,type,
    sK320_SV589: $i > $i ).

thf(tp_sK321_SV590,type,
    sK321_SV590: $i > $i ).

thf(tp_sK322_SV591,type,
    sK322_SV591: $i > $i ).

thf(tp_sK323_SV592,type,
    sK323_SV592: $i > $i ).

thf(tp_sK324_SV593,type,
    sK324_SV593: $i > $i ).

thf(tp_sK325_SV594,type,
    sK325_SV594: $i > $i ).

thf(tp_sK326_SV595,type,
    sK326_SV595: $i > $i ).

thf(tp_sK327_SV596,type,
    sK327_SV596: $i > $i ).

thf(tp_sK328_SV597,type,
    sK328_SV597: $i > $i ).

thf(tp_sK329_SV598,type,
    sK329_SV598: $i > $i ).

thf(tp_sK32_SV125,type,
    sK32_SV125: $i > $i ).

thf(tp_sK330_SV599,type,
    sK330_SV599: $i > $i ).

thf(tp_sK331_SV600,type,
    sK331_SV600: $i > $i ).

thf(tp_sK332_SV601,type,
    sK332_SV601: $i > $i ).

thf(tp_sK333_SV602,type,
    sK333_SV602: $i > $i ).

thf(tp_sK334_SV603,type,
    sK334_SV603: $i > $i ).

thf(tp_sK335_SV604,type,
    sK335_SV604: $i > $i ).

thf(tp_sK336_SV605,type,
    sK336_SV605: $i > $i ).

thf(tp_sK337_SV606,type,
    sK337_SV606: $i > $i ).

thf(tp_sK338_SV607,type,
    sK338_SV607: $i > $i ).

thf(tp_sK339_SV608,type,
    sK339_SV608: $i > $i ).

thf(tp_sK33_SV126,type,
    sK33_SV126: $i > $i ).

thf(tp_sK340_SV609,type,
    sK340_SV609: $i > $i ).

thf(tp_sK341_SV610,type,
    sK341_SV610: $i > $i ).

thf(tp_sK342_SV611,type,
    sK342_SV611: $i > $i ).

thf(tp_sK343_SV612,type,
    sK343_SV612: $i > $i ).

thf(tp_sK344_SV613,type,
    sK344_SV613: $i > $i ).

thf(tp_sK345_SV614,type,
    sK345_SV614: $i > $i ).

thf(tp_sK346_SV615,type,
    sK346_SV615: $i > $i ).

thf(tp_sK347_SV616,type,
    sK347_SV616: $i > $i ).

thf(tp_sK348_SV617,type,
    sK348_SV617: $i > $i ).

thf(tp_sK349_SV618,type,
    sK349_SV618: $i > $i ).

thf(tp_sK34_SV127,type,
    sK34_SV127: $i > $i ).

thf(tp_sK350_SV619,type,
    sK350_SV619: $i > $i ).

thf(tp_sK351_SV620,type,
    sK351_SV620: $i > $i ).

thf(tp_sK352_SV621,type,
    sK352_SV621: $i > $i ).

thf(tp_sK353_SV622,type,
    sK353_SV622: $i > $i ).

thf(tp_sK354_SV623,type,
    sK354_SV623: $i > $i ).

thf(tp_sK355_SV624,type,
    sK355_SV624: $i > $i ).

thf(tp_sK356_SV625,type,
    sK356_SV625: $i > $i ).

thf(tp_sK357_SV626,type,
    sK357_SV626: $i > $i ).

thf(tp_sK358_SV627,type,
    sK358_SV627: $i > $i ).

thf(tp_sK359_SV628,type,
    sK359_SV628: $i > $i ).

thf(tp_sK35_SV128,type,
    sK35_SV128: $i > $i ).

thf(tp_sK360_SV629,type,
    sK360_SV629: $i > $i ).

thf(tp_sK361_SV630,type,
    sK361_SV630: $i > $i ).

thf(tp_sK362_SV631,type,
    sK362_SV631: $i > $i > $i ).

thf(tp_sK363_SV632,type,
    sK363_SV632: $i > $i > $i ).

thf(tp_sK364_SV633,type,
    sK364_SV633: $i > $i > $i ).

thf(tp_sK365_SV634,type,
    sK365_SV634: $i > $i > $i ).

thf(tp_sK366_SV635,type,
    sK366_SV635: $i > $i > $i ).

thf(tp_sK367_SV636,type,
    sK367_SV636: $i > $i > $i ).

thf(tp_sK368_SV637,type,
    sK368_SV637: $i > $i > $i ).

thf(tp_sK369_SV638,type,
    sK369_SV638: $i > $i > $i ).

thf(tp_sK36_SV129,type,
    sK36_SV129: $i > $i ).

thf(tp_sK370_SV639,type,
    sK370_SV639: $i > $i > $i ).

thf(tp_sK371_SV640,type,
    sK371_SV640: $i > $i > $i ).

thf(tp_sK372_SV641,type,
    sK372_SV641: $i > $i > $i ).

thf(tp_sK373_SV642,type,
    sK373_SV642: $i > $i > $i ).

thf(tp_sK374_SV643,type,
    sK374_SV643: $i > $i > $i ).

thf(tp_sK375_SV644,type,
    sK375_SV644: $i > $i > $i ).

thf(tp_sK376_SV645,type,
    sK376_SV645: $i > $i > $i ).

thf(tp_sK377_SV646,type,
    sK377_SV646: $i > $i > $i ).

thf(tp_sK378_SV647,type,
    sK378_SV647: $i > $i > $i ).

thf(tp_sK379_SV648,type,
    sK379_SV648: $i > $i > $i ).

thf(tp_sK37_SV130,type,
    sK37_SV130: $i > $i ).

thf(tp_sK380_SV649,type,
    sK380_SV649: $i > $i > $i ).

thf(tp_sK381_SV650,type,
    sK381_SV650: $i > $i > $i ).

thf(tp_sK382_SV651,type,
    sK382_SV651: $i > $i > $i ).

thf(tp_sK383_SV652,type,
    sK383_SV652: $i > $i > $i ).

thf(tp_sK384_SV653,type,
    sK384_SV653: $i > $i > $i ).

thf(tp_sK385_SV654,type,
    sK385_SV654: $i > $i > $i ).

thf(tp_sK386_SV655,type,
    sK386_SV655: $i > $i > $i ).

thf(tp_sK387_SV656,type,
    sK387_SV656: $i > $i > $i ).

thf(tp_sK388_SV657,type,
    sK388_SV657: $i > $i > $i ).

thf(tp_sK389_SV658,type,
    sK389_SV658: $i > $i > $i ).

thf(tp_sK38_SV131,type,
    sK38_SV131: $i > $i ).

thf(tp_sK390_SV659,type,
    sK390_SV659: $i > $i > $i ).

thf(tp_sK391_SV660,type,
    sK391_SV660: $i > $i > $i ).

thf(tp_sK392_SV661,type,
    sK392_SV661: $i > $i > $i ).

thf(tp_sK393_SV662,type,
    sK393_SV662: $i > $i > $i ).

thf(tp_sK394_E,type,
    sK394_E: $i > $i > $i ).

thf(tp_sK395_E,type,
    sK395_E: $i > $i > $i ).

thf(tp_sK396_E,type,
    sK396_E: $i > $i > $i ).

thf(tp_sK397_E,type,
    sK397_E: $i > $i > $i ).

thf(tp_sK398_E,type,
    sK398_E: $i > $i > $i ).

thf(tp_sK399_E,type,
    sK399_E: $i > $i > $i ).

thf(tp_sK39_SV132,type,
    sK39_SV132: $i > $i ).

thf(tp_sK3_SY10,type,
    sK3_SY10: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK400_E,type,
    sK400_E: $i > $i > $i ).

thf(tp_sK401_E,type,
    sK401_E: $i > $i > $i ).

thf(tp_sK402_E,type,
    sK402_E: $i > $i > $i ).

thf(tp_sK403_E,type,
    sK403_E: $i > $i > $i ).

thf(tp_sK404_E,type,
    sK404_E: $i > $i > $i ).

thf(tp_sK405_E,type,
    sK405_E: $i > $i > $i ).

thf(tp_sK406_E,type,
    sK406_E: $i > $i > $i ).

thf(tp_sK407_E,type,
    sK407_E: $i > $i > $i ).

thf(tp_sK408_E,type,
    sK408_E: $i > $i > $i ).

thf(tp_sK409_E,type,
    sK409_E: $i > $i > $i ).

thf(tp_sK40_SV133,type,
    sK40_SV133: $i > $i ).

thf(tp_sK410_E,type,
    sK410_E: $i > $i > $i ).

thf(tp_sK411_E,type,
    sK411_E: $i > $i > $i ).

thf(tp_sK412_E,type,
    sK412_E: $i > $i > $i ).

thf(tp_sK413_E,type,
    sK413_E: $i > $i > $i ).

thf(tp_sK414_E,type,
    sK414_E: $i > $i > $i ).

thf(tp_sK415_E,type,
    sK415_E: $i > $i > $i ).

thf(tp_sK416_E,type,
    sK416_E: $i > $i > $i ).

thf(tp_sK417_E,type,
    sK417_E: $i > $i > $i ).

thf(tp_sK418_E,type,
    sK418_E: $i > $i > $i ).

thf(tp_sK419_E,type,
    sK419_E: $i > $i > $i ).

thf(tp_sK41_SV134,type,
    sK41_SV134: $i > $i ).

thf(tp_sK420_E,type,
    sK420_E: $i > $i > $i ).

thf(tp_sK421_E,type,
    sK421_E: $i > $i > $i ).

thf(tp_sK422_E,type,
    sK422_E: $i > $i > $i ).

thf(tp_sK423_E,type,
    sK423_E: $i > $i > $i ).

thf(tp_sK424_E,type,
    sK424_E: $i > $i > $i ).

thf(tp_sK425_E,type,
    sK425_E: $i > $i > $i ).

thf(tp_sK426_E,type,
    sK426_E: $i > $i > $i ).

thf(tp_sK427_E,type,
    sK427_E: $i > $i > $i ).

thf(tp_sK428_E,type,
    sK428_E: $i > $i > $i ).

thf(tp_sK429_E,type,
    sK429_E: $i > $i > $i ).

thf(tp_sK42_SV135,type,
    sK42_SV135: $i > $i ).

thf(tp_sK430_E,type,
    sK430_E: $i > $i > $i ).

thf(tp_sK431_E,type,
    sK431_E: $i > $i > $i ).

thf(tp_sK432_E,type,
    sK432_E: $i > $i > $i ).

thf(tp_sK433_E,type,
    sK433_E: $i > $i > $i ).

thf(tp_sK434_E,type,
    sK434_E: $i > $i > $i ).

thf(tp_sK435_E,type,
    sK435_E: $i > $i > $i ).

thf(tp_sK436_E,type,
    sK436_E: $i > $i > $i ).

thf(tp_sK437_E,type,
    sK437_E: $i > $i > $i ).

thf(tp_sK438_E,type,
    sK438_E: $i > $i > $i ).

thf(tp_sK439_E,type,
    sK439_E: $i > $i > $i ).

thf(tp_sK43_SV136,type,
    sK43_SV136: $i > $i ).

thf(tp_sK440_E,type,
    sK440_E: $i > $i > $i ).

thf(tp_sK441_E,type,
    sK441_E: $i > $i > $i ).

thf(tp_sK442_E,type,
    sK442_E: $i > $i > $i ).

thf(tp_sK443_E,type,
    sK443_E: $i > $i > $i ).

thf(tp_sK444_E,type,
    sK444_E: $i > $i > $i ).

thf(tp_sK445_E,type,
    sK445_E: $i > $i > $i ).

thf(tp_sK446_E,type,
    sK446_E: $i > $i > $i ).

thf(tp_sK447_E,type,
    sK447_E: $i > $i > $i ).

thf(tp_sK448_E,type,
    sK448_E: $i > $i > $i ).

thf(tp_sK449_E,type,
    sK449_E: $i > $i > $i ).

thf(tp_sK44_SV137,type,
    sK44_SV137: $i > $i ).

thf(tp_sK450_E,type,
    sK450_E: $i > $i ).

thf(tp_sK451_E,type,
    sK451_E: $i > $i ).

thf(tp_sK452_E,type,
    sK452_E: $i > $i ).

thf(tp_sK453_E,type,
    sK453_E: $i > $i ).

thf(tp_sK454_E,type,
    sK454_E: $i > $i ).

thf(tp_sK455_E,type,
    sK455_E: $i > $i ).

thf(tp_sK456_E,type,
    sK456_E: $i > $i ).

thf(tp_sK457_E,type,
    sK457_E: $i > $i ).

thf(tp_sK458_E,type,
    sK458_E: $i > $i > $i ).

thf(tp_sK459_E,type,
    sK459_E: $i > $i > $i ).

thf(tp_sK45_SV138,type,
    sK45_SV138: $i > $i ).

thf(tp_sK460_E,type,
    sK460_E: $i > $i > $i ).

thf(tp_sK461_E,type,
    sK461_E: $i > $i > $i ).

thf(tp_sK462_E,type,
    sK462_E: $i > $i > $i ).

thf(tp_sK463_E,type,
    sK463_E: $i > $i > $i ).

thf(tp_sK464_E,type,
    sK464_E: $i > $i > $i ).

thf(tp_sK465_E,type,
    sK465_E: $i > $i > $i ).

thf(tp_sK466_E,type,
    sK466_E: $i > $i > $i ).

thf(tp_sK467_E,type,
    sK467_E: $i > $i > $i ).

thf(tp_sK468_E,type,
    sK468_E: $i > $i > $i ).

thf(tp_sK469_E,type,
    sK469_E: $i > $i > $i ).

thf(tp_sK46_SV175,type,
    sK46_SV175: $i > $i ).

thf(tp_sK470_E,type,
    sK470_E: $i > $i > $i ).

thf(tp_sK471_E,type,
    sK471_E: $i > $i > $i ).

thf(tp_sK472_E,type,
    sK472_E: $i > $i > $i ).

thf(tp_sK473_E,type,
    sK473_E: $i > $i > $i ).

thf(tp_sK474_E,type,
    sK474_E: $i > $i > $i ).

thf(tp_sK475_E,type,
    sK475_E: $i > $i > $i ).

thf(tp_sK476_E,type,
    sK476_E: $i > $i > $i ).

thf(tp_sK477_E,type,
    sK477_E: $i > $i > $i ).

thf(tp_sK478_E,type,
    sK478_E: $i > $i > $i ).

thf(tp_sK479_E,type,
    sK479_E: $i > $i > $i ).

thf(tp_sK47_SV180,type,
    sK47_SV180: $i > $i ).

thf(tp_sK480_E,type,
    sK480_E: $i > $i > $i ).

thf(tp_sK481_E,type,
    sK481_E: $i > $i > $i ).

thf(tp_sK482_E,type,
    sK482_E: $i > $i > $i ).

thf(tp_sK483_E,type,
    sK483_E: $i > $i > $i ).

thf(tp_sK484_E,type,
    sK484_E: $i > $i > $i ).

thf(tp_sK485_E,type,
    sK485_E: $i > $i > $i ).

thf(tp_sK486_E,type,
    sK486_E: $i > $i > $i ).

thf(tp_sK487_E,type,
    sK487_E: $i > $i > $i ).

thf(tp_sK488_E,type,
    sK488_E: $i > $i > $i ).

thf(tp_sK489_E,type,
    sK489_E: $i > $i > $i ).

thf(tp_sK48_SV185,type,
    sK48_SV185: $i > $i ).

thf(tp_sK490_E,type,
    sK490_E: $i > $i > $i ).

thf(tp_sK491_E,type,
    sK491_E: $i > $i > $i ).

thf(tp_sK492_E,type,
    sK492_E: $i > $i > $i ).

thf(tp_sK493_E,type,
    sK493_E: $i > $i > $i ).

thf(tp_sK494_E,type,
    sK494_E: $i > $i > $i ).

thf(tp_sK495_E,type,
    sK495_E: $i > $i > $i ).

thf(tp_sK496_E,type,
    sK496_E: $i > $i > $i ).

thf(tp_sK497_E,type,
    sK497_E: $i > $i > $i ).

thf(tp_sK498_E,type,
    sK498_E: $i > $i > $i ).

thf(tp_sK499_E,type,
    sK499_E: $i > $i > $i ).

thf(tp_sK49_SV190,type,
    sK49_SV190: $i > $i ).

thf(tp_sK4_Xx,type,
    sK4_Xx: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK500_E,type,
    sK500_E: $i > $i > $i ).

thf(tp_sK501_E,type,
    sK501_E: $i > $i > $i ).

thf(tp_sK502_E,type,
    sK502_E: $i > $i > $i ).

thf(tp_sK503_E,type,
    sK503_E: $i > $i > $i ).

thf(tp_sK504_E,type,
    sK504_E: $i > $i > $i ).

thf(tp_sK505_E,type,
    sK505_E: $i > $i > $i ).

thf(tp_sK506_E,type,
    sK506_E: $i > $i > $i ).

thf(tp_sK507_E,type,
    sK507_E: $i > $i > $i ).

thf(tp_sK508_E,type,
    sK508_E: $i > $i > $i ).

thf(tp_sK509_E,type,
    sK509_E: $i > $i > $i ).

thf(tp_sK50_SV195,type,
    sK50_SV195: $i > $i ).

thf(tp_sK510_E,type,
    sK510_E: $i > $i > $i ).

thf(tp_sK511_E,type,
    sK511_E: $i > $i > $i ).

thf(tp_sK512_E,type,
    sK512_E: $i > $i > $i ).

thf(tp_sK513_E,type,
    sK513_E: $i > $i > $i ).

thf(tp_sK514_E,type,
    sK514_E: $i > $i ).

thf(tp_sK515_E,type,
    sK515_E: $i > $i ).

thf(tp_sK516_E,type,
    sK516_E: $i > $i ).

thf(tp_sK517_E,type,
    sK517_E: $i > $i ).

thf(tp_sK518_E,type,
    sK518_E: $i > $i ).

thf(tp_sK519_E,type,
    sK519_E: $i > $i ).

thf(tp_sK51_SV200,type,
    sK51_SV200: $i > $i ).

thf(tp_sK520_E,type,
    sK520_E: $i > $i ).

thf(tp_sK521_E,type,
    sK521_E: $i > $i ).

thf(tp_sK522_E,type,
    sK522_E: $i ).

thf(tp_sK523_E,type,
    sK523_E: $i ).

thf(tp_sK524_E,type,
    sK524_E: $i ).

thf(tp_sK525_E,type,
    sK525_E: $i ).

thf(tp_sK526_E,type,
    sK526_E: $i > $i ).

thf(tp_sK527_E,type,
    sK527_E: $i > $i ).

thf(tp_sK528_E,type,
    sK528_E: $i > $i ).

thf(tp_sK529_E,type,
    sK529_E: $i > $i ).

thf(tp_sK52_SV205,type,
    sK52_SV205: $i > $i ).

thf(tp_sK530_E,type,
    sK530_E: $i > $i ).

thf(tp_sK531_E,type,
    sK531_E: $i > $i ).

thf(tp_sK532_E,type,
    sK532_E: $i > $i ).

thf(tp_sK533_E,type,
    sK533_E: $i > $i ).

thf(tp_sK534_E,type,
    sK534_E: $i > $i ).

thf(tp_sK535_E,type,
    sK535_E: $i > $i ).

thf(tp_sK536_E,type,
    sK536_E: $i > $i ).

thf(tp_sK537_E,type,
    sK537_E: $i > $i ).

thf(tp_sK538_E,type,
    sK538_E: $i > $i ).

thf(tp_sK539_E,type,
    sK539_E: $i > $i ).

thf(tp_sK53_SV210,type,
    sK53_SV210: $i > $i ).

thf(tp_sK540_E,type,
    sK540_E: $i > $i ).

thf(tp_sK541_E,type,
    sK541_E: $i > $i ).

thf(tp_sK542_E,type,
    sK542_E: $i > $i ).

thf(tp_sK543_E,type,
    sK543_E: $i > $i ).

thf(tp_sK544_E,type,
    sK544_E: $i > $i ).

thf(tp_sK545_E,type,
    sK545_E: $i > $i ).

thf(tp_sK546_E,type,
    sK546_E: $i > $i ).

thf(tp_sK547_E,type,
    sK547_E: $i > $i ).

thf(tp_sK548_E,type,
    sK548_E: $i > $i ).

thf(tp_sK549_E,type,
    sK549_E: $i > $i ).

thf(tp_sK54_E,type,
    sK54_E: $i > $i ).

thf(tp_sK550_E,type,
    sK550_E: $i > $i ).

thf(tp_sK551_E,type,
    sK551_E: $i > $i ).

thf(tp_sK552_E,type,
    sK552_E: $i > $i ).

thf(tp_sK553_E,type,
    sK553_E: $i > $i ).

thf(tp_sK554_E,type,
    sK554_E: $i > $i ).

thf(tp_sK555_E,type,
    sK555_E: $i > $i ).

thf(tp_sK556_E,type,
    sK556_E: $i > $i ).

thf(tp_sK557_E,type,
    sK557_E: $i > $i ).

thf(tp_sK558_E,type,
    sK558_E: $i > $i ).

thf(tp_sK559_E,type,
    sK559_E: $i > $i ).

thf(tp_sK55_E,type,
    sK55_E: $i > $i ).

thf(tp_sK560_E,type,
    sK560_E: $i > $i ).

thf(tp_sK561_E,type,
    sK561_E: $i > $i ).

thf(tp_sK562_E,type,
    sK562_E: $i > $i ).

thf(tp_sK563_E,type,
    sK563_E: $i > $i ).

thf(tp_sK564_E,type,
    sK564_E: $i > $i ).

thf(tp_sK565_E,type,
    sK565_E: $i > $i ).

thf(tp_sK566_E,type,
    sK566_E: $i > $i ).

thf(tp_sK567_E,type,
    sK567_E: $i > $i ).

thf(tp_sK568_E,type,
    sK568_E: $i > $i ).

thf(tp_sK569_E,type,
    sK569_E: $i > $i ).

thf(tp_sK56_E,type,
    sK56_E: $i > $i ).

thf(tp_sK570_E,type,
    sK570_E: $i > $i ).

thf(tp_sK571_E,type,
    sK571_E: $i > $i ).

thf(tp_sK572_E,type,
    sK572_E: $i > $i ).

thf(tp_sK573_E,type,
    sK573_E: $i > $i ).

thf(tp_sK574_E,type,
    sK574_E: $i > $i ).

thf(tp_sK575_E,type,
    sK575_E: $i > $i ).

thf(tp_sK576_E,type,
    sK576_E: $i > $i ).

thf(tp_sK577_E,type,
    sK577_E: $i > $i ).

thf(tp_sK578_E,type,
    sK578_E: $i > $i ).

thf(tp_sK579_E,type,
    sK579_E: $i > $i ).

thf(tp_sK57_E,type,
    sK57_E: $i > $i ).

thf(tp_sK580_E,type,
    sK580_E: $i > $i ).

thf(tp_sK581_E,type,
    sK581_E: $i > $i ).

thf(tp_sK582_E,type,
    sK582_E: $i > $i ).

thf(tp_sK583_E,type,
    sK583_E: $i > $i ).

thf(tp_sK584_E,type,
    sK584_E: $i > $i ).

thf(tp_sK585_E,type,
    sK585_E: $i > $i ).

thf(tp_sK586_E,type,
    sK586_E: $i > $i ).

thf(tp_sK587_E,type,
    sK587_E: $i > $i ).

thf(tp_sK588_E,type,
    sK588_E: $i > $i ).

thf(tp_sK589_E,type,
    sK589_E: $i > $i ).

thf(tp_sK58_E,type,
    sK58_E: $i > $i ).

thf(tp_sK590_E,type,
    sK590_E: $i > $i ).

thf(tp_sK591_E,type,
    sK591_E: $i > $i ).

thf(tp_sK592_E,type,
    sK592_E: $i > $i ).

thf(tp_sK593_E,type,
    sK593_E: $i > $i ).

thf(tp_sK594_E,type,
    sK594_E: $i > $i ).

thf(tp_sK595_E,type,
    sK595_E: $i > $i ).

thf(tp_sK596_E,type,
    sK596_E: $i > $i ).

thf(tp_sK597_E,type,
    sK597_E: $i > $i ).

thf(tp_sK598_E,type,
    sK598_E: $i > $i ).

thf(tp_sK599_E,type,
    sK599_E: $i > $i ).

thf(tp_sK59_E,type,
    sK59_E: $i > $i ).

thf(tp_sK5_X,type,
    sK5_X: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK600_E,type,
    sK600_E: $i > $i ).

thf(tp_sK601_E,type,
    sK601_E: $i > $i ).

thf(tp_sK602_E,type,
    sK602_E: $i > $i ).

thf(tp_sK603_E,type,
    sK603_E: $i > $i ).

thf(tp_sK604_E,type,
    sK604_E: $i > $i ).

thf(tp_sK605_E,type,
    sK605_E: $i > $i ).

thf(tp_sK606_E,type,
    sK606_E: $i > $i ).

thf(tp_sK607_E,type,
    sK607_E: $i > $i ).

thf(tp_sK608_E,type,
    sK608_E: $i > $i ).

thf(tp_sK609_E,type,
    sK609_E: $i > $i ).

thf(tp_sK60_E,type,
    sK60_E: $i > $i ).

thf(tp_sK610_E,type,
    sK610_E: $i > $i ).

thf(tp_sK611_E,type,
    sK611_E: $i > $i ).

thf(tp_sK612_E,type,
    sK612_E: $i > $i ).

thf(tp_sK613_E,type,
    sK613_E: $i > $i ).

thf(tp_sK614_E,type,
    sK614_E: $i > $i ).

thf(tp_sK615_E,type,
    sK615_E: $i > $i ).

thf(tp_sK616_E,type,
    sK616_E: $i > $i ).

thf(tp_sK617_E,type,
    sK617_E: $i > $i ).

thf(tp_sK618_E,type,
    sK618_E: $i > $i ).

thf(tp_sK619_E,type,
    sK619_E: $i > $i ).

thf(tp_sK61_E,type,
    sK61_E: $i > $i ).

thf(tp_sK620_E,type,
    sK620_E: $i > $i ).

thf(tp_sK621_E,type,
    sK621_E: $i > $i ).

thf(tp_sK622_E,type,
    sK622_E: $i > $i ).

thf(tp_sK623_E,type,
    sK623_E: $i > $i ).

thf(tp_sK624_E,type,
    sK624_E: $i > $i ).

thf(tp_sK625_E,type,
    sK625_E: $i > $i ).

thf(tp_sK626_E,type,
    sK626_E: $i > $i ).

thf(tp_sK627_E,type,
    sK627_E: $i > $i ).

thf(tp_sK628_E,type,
    sK628_E: $i > $i ).

thf(tp_sK629_E,type,
    sK629_E: $i > $i ).

thf(tp_sK62_E,type,
    sK62_E: $i > $i ).

thf(tp_sK630_E,type,
    sK630_E: $i > $i ).

thf(tp_sK631_E,type,
    sK631_E: $i > $i ).

thf(tp_sK632_E,type,
    sK632_E: $i > $i ).

thf(tp_sK633_E,type,
    sK633_E: $i > $i ).

thf(tp_sK634_E,type,
    sK634_E: $i > $i ).

thf(tp_sK635_E,type,
    sK635_E: $i > $i ).

thf(tp_sK636_E,type,
    sK636_E: $i > $i ).

thf(tp_sK637_E,type,
    sK637_E: $i > $i ).

thf(tp_sK638_E,type,
    sK638_E: $i > $i ).

thf(tp_sK639_E,type,
    sK639_E: $i > $i ).

thf(tp_sK63_E,type,
    sK63_E: $i > $i ).

thf(tp_sK640_E,type,
    sK640_E: $i > $i ).

thf(tp_sK641_E,type,
    sK641_E: $i > $i ).

thf(tp_sK642_E,type,
    sK642_E: $i > $i ).

thf(tp_sK643_E,type,
    sK643_E: $i > $i ).

thf(tp_sK644_E,type,
    sK644_E: $i > $i ).

thf(tp_sK645_E,type,
    sK645_E: $i > $i ).

thf(tp_sK646_E,type,
    sK646_E: $i > $i ).

thf(tp_sK647_E,type,
    sK647_E: $i > $i ).

thf(tp_sK648_E,type,
    sK648_E: $i > $i ).

thf(tp_sK649_E,type,
    sK649_E: $i > $i ).

thf(tp_sK64_E,type,
    sK64_E: $i > $i ).

thf(tp_sK650_E,type,
    sK650_E: $i > $i ).

thf(tp_sK651_E,type,
    sK651_E: $i > $i ).

thf(tp_sK652_E,type,
    sK652_E: $i > $i ).

thf(tp_sK653_E,type,
    sK653_E: $i > $i ).

thf(tp_sK654_E,type,
    sK654_E: $i > $i ).

thf(tp_sK655_E,type,
    sK655_E: $i > $i ).

thf(tp_sK656_E,type,
    sK656_E: $i > $i ).

thf(tp_sK657_E,type,
    sK657_E: $i > $i ).

thf(tp_sK658_E,type,
    sK658_E: $i > $i ).

thf(tp_sK659_E,type,
    sK659_E: $i > $i ).

thf(tp_sK65_E,type,
    sK65_E: $i > $i ).

thf(tp_sK660_E,type,
    sK660_E: $i > $i ).

thf(tp_sK661_E,type,
    sK661_E: $i > $i ).

thf(tp_sK662_E,type,
    sK662_E: $i > $i ).

thf(tp_sK663_E,type,
    sK663_E: $i > $i ).

thf(tp_sK664_E,type,
    sK664_E: $i > $i ).

thf(tp_sK665_E,type,
    sK665_E: $i > $i ).

thf(tp_sK666_E,type,
    sK666_E: $i > $i ).

thf(tp_sK667_E,type,
    sK667_E: $i > $i ).

thf(tp_sK668_E,type,
    sK668_E: $i > $i ).

thf(tp_sK669_E,type,
    sK669_E: $i > $i ).

thf(tp_sK66_E,type,
    sK66_E: $i > $i ).

thf(tp_sK670_E,type,
    sK670_E: $i > $i ).

thf(tp_sK671_E,type,
    sK671_E: $i > $i ).

thf(tp_sK672_E,type,
    sK672_E: $i > $i ).

thf(tp_sK673_E,type,
    sK673_E: $i > $i ).

thf(tp_sK674_E,type,
    sK674_E: $i > $i ).

thf(tp_sK675_E,type,
    sK675_E: $i > $i ).

thf(tp_sK676_E,type,
    sK676_E: $i > $i ).

thf(tp_sK677_E,type,
    sK677_E: $i > $i ).

thf(tp_sK678_E,type,
    sK678_E: $i > $i ).

thf(tp_sK679_E,type,
    sK679_E: $i > $i ).

thf(tp_sK67_E,type,
    sK67_E: $i > $i ).

thf(tp_sK680_E,type,
    sK680_E: $i > $i ).

thf(tp_sK681_E,type,
    sK681_E: $i > $i ).

thf(tp_sK682_E,type,
    sK682_E: $i > $i ).

thf(tp_sK683_E,type,
    sK683_E: $i > $i ).

thf(tp_sK684_E,type,
    sK684_E: $i > $i ).

thf(tp_sK685_E,type,
    sK685_E: $i > $i ).

thf(tp_sK686_E,type,
    sK686_E: $i > $i ).

thf(tp_sK687_E,type,
    sK687_E: $i > $i ).

thf(tp_sK688_E,type,
    sK688_E: $i > $i ).

thf(tp_sK689_E,type,
    sK689_E: $i > $i ).

thf(tp_sK68_E,type,
    sK68_E: $i > $i ).

thf(tp_sK690_E,type,
    sK690_E: $i > $i ).

thf(tp_sK691_E,type,
    sK691_E: $i > $i ).

thf(tp_sK692_E,type,
    sK692_E: $i > $i ).

thf(tp_sK693_E,type,
    sK693_E: $i > $i ).

thf(tp_sK694_E,type,
    sK694_E: $i > $i ).

thf(tp_sK695_E,type,
    sK695_E: $i > $i ).

thf(tp_sK696_E,type,
    sK696_E: $i > $i ).

thf(tp_sK697_E,type,
    sK697_E: $i > $i ).

thf(tp_sK698_E,type,
    sK698_E: $i > $i ).

thf(tp_sK699_E,type,
    sK699_E: $i > $i ).

thf(tp_sK69_E,type,
    sK69_E: $i > $i ).

thf(tp_sK6_SY11,type,
    sK6_SY11: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK700_E,type,
    sK700_E: $i > $i ).

thf(tp_sK701_E,type,
    sK701_E: $i > $i ).

thf(tp_sK702_E,type,
    sK702_E: $i > $i ).

thf(tp_sK703_E,type,
    sK703_E: $i > $i ).

thf(tp_sK704_E,type,
    sK704_E: $i > $i ).

thf(tp_sK705_E,type,
    sK705_E: $i > $i ).

thf(tp_sK706_E,type,
    sK706_E: $i > $i ).

thf(tp_sK707_E,type,
    sK707_E: $i > $i ).

thf(tp_sK708_E,type,
    sK708_E: $i > $i ).

thf(tp_sK709_E,type,
    sK709_E: $i > $i ).

thf(tp_sK70_E,type,
    sK70_E: $i > $i ).

thf(tp_sK710_E,type,
    sK710_E: $i > $i ).

thf(tp_sK711_E,type,
    sK711_E: $i > $i ).

thf(tp_sK712_E,type,
    sK712_E: $i > $i ).

thf(tp_sK713_E,type,
    sK713_E: $i > $i ).

thf(tp_sK714_E,type,
    sK714_E: $i > $i ).

thf(tp_sK715_E,type,
    sK715_E: $i > $i ).

thf(tp_sK716_E,type,
    sK716_E: $i > $i ).

thf(tp_sK717_E,type,
    sK717_E: $i > $i ).

thf(tp_sK718_E,type,
    sK718_E: $i > $i ).

thf(tp_sK719_E,type,
    sK719_E: $i > $i ).

thf(tp_sK71_E,type,
    sK71_E: $i > $i ).

thf(tp_sK720_E,type,
    sK720_E: $i > $i ).

thf(tp_sK721_E,type,
    sK721_E: $i > $i ).

thf(tp_sK722_E,type,
    sK722_E: $i > $i ).

thf(tp_sK723_E,type,
    sK723_E: $i > $i ).

thf(tp_sK724_E,type,
    sK724_E: $i > $i ).

thf(tp_sK725_E,type,
    sK725_E: $i > $i ).

thf(tp_sK726_E,type,
    sK726_E: $i > $i ).

thf(tp_sK727_E,type,
    sK727_E: $i > $i ).

thf(tp_sK728_E,type,
    sK728_E: $i > $i ).

thf(tp_sK729_E,type,
    sK729_E: $i > $i ).

thf(tp_sK72_E,type,
    sK72_E: $i > $i ).

thf(tp_sK730_E,type,
    sK730_E: $i > $i ).

thf(tp_sK731_E,type,
    sK731_E: $i > $i ).

thf(tp_sK732_E,type,
    sK732_E: $i > $i ).

thf(tp_sK733_E,type,
    sK733_E: $i > $i ).

thf(tp_sK734_E,type,
    sK734_E: $i > $i ).

thf(tp_sK735_E,type,
    sK735_E: $i > $i ).

thf(tp_sK736_E,type,
    sK736_E: $i > $i ).

thf(tp_sK737_E,type,
    sK737_E: $i > $i ).

thf(tp_sK738_E,type,
    sK738_E: $i > $i ).

thf(tp_sK739_E,type,
    sK739_E: $i > $i ).

thf(tp_sK73_E,type,
    sK73_E: $i > $i ).

thf(tp_sK740_E,type,
    sK740_E: $i > $i ).

thf(tp_sK741_E,type,
    sK741_E: $i > $i ).

thf(tp_sK742_E,type,
    sK742_E: $i > $i ).

thf(tp_sK743_E,type,
    sK743_E: $i > $i ).

thf(tp_sK744_E,type,
    sK744_E: $i > $i ).

thf(tp_sK745_E,type,
    sK745_E: $i > $i ).

thf(tp_sK746_E,type,
    sK746_E: $i > $i ).

thf(tp_sK747_E,type,
    sK747_E: $i > $i ).

thf(tp_sK748_E,type,
    sK748_E: $i > $i ).

thf(tp_sK749_E,type,
    sK749_E: $i > $i ).

thf(tp_sK74_E,type,
    sK74_E: $i > $i ).

thf(tp_sK750_E,type,
    sK750_E: $i > $i ).

thf(tp_sK751_E,type,
    sK751_E: $i > $i ).

thf(tp_sK752_E,type,
    sK752_E: $i > $i ).

thf(tp_sK753_E,type,
    sK753_E: $i > $i ).

thf(tp_sK754_E,type,
    sK754_E: $i > $i ).

thf(tp_sK755_E,type,
    sK755_E: $i > $i ).

thf(tp_sK756_E,type,
    sK756_E: $i > $i ).

thf(tp_sK757_E,type,
    sK757_E: $i > $i ).

thf(tp_sK758_E,type,
    sK758_E: $i > $i ).

thf(tp_sK759_E,type,
    sK759_E: $i > $i ).

thf(tp_sK75_E,type,
    sK75_E: $i > $i ).

thf(tp_sK760_E,type,
    sK760_E: $i > $i ).

thf(tp_sK761_E,type,
    sK761_E: $i > $i ).

thf(tp_sK762_E,type,
    sK762_E: $i > $i ).

thf(tp_sK763_E,type,
    sK763_E: $i > $i ).

thf(tp_sK764_E,type,
    sK764_E: $i > $i ).

thf(tp_sK765_E,type,
    sK765_E: $i > $i ).

thf(tp_sK766_E,type,
    sK766_E: $i > $i ).

thf(tp_sK767_E,type,
    sK767_E: $i > $i ).

thf(tp_sK768_E,type,
    sK768_E: $i > $i ).

thf(tp_sK769_E,type,
    sK769_E: $i > $i ).

thf(tp_sK76_E,type,
    sK76_E: $i > $i ).

thf(tp_sK770_E,type,
    sK770_E: $i > $i ).

thf(tp_sK771_E,type,
    sK771_E: $i > $i ).

thf(tp_sK772_E,type,
    sK772_E: $i > $i ).

thf(tp_sK773_E,type,
    sK773_E: $i > $i ).

thf(tp_sK774_E,type,
    sK774_E: $i > $i ).

thf(tp_sK775_E,type,
    sK775_E: $i > $i ).

thf(tp_sK776_E,type,
    sK776_E: $i > $i ).

thf(tp_sK777_E,type,
    sK777_E: $i > $i ).

thf(tp_sK778_E,type,
    sK778_E: $i > $i ).

thf(tp_sK779_E,type,
    sK779_E: $i > $i ).

thf(tp_sK77_E,type,
    sK77_E: $i > $i ).

thf(tp_sK780_E,type,
    sK780_E: $i > $i ).

thf(tp_sK781_E,type,
    sK781_E: $i > $i ).

thf(tp_sK782_E,type,
    sK782_E: $i ).

thf(tp_sK783_E,type,
    sK783_E: $i ).

thf(tp_sK784_E,type,
    sK784_E: $i ).

thf(tp_sK785_E,type,
    sK785_E: $i ).

thf(tp_sK786_E,type,
    sK786_E: $i > $i ).

thf(tp_sK787_E,type,
    sK787_E: $i > $i ).

thf(tp_sK788_E,type,
    sK788_E: $i > $i ).

thf(tp_sK789_E,type,
    sK789_E: $i > $i ).

thf(tp_sK78_E,type,
    sK78_E: $i > $i ).

thf(tp_sK790_E,type,
    sK790_E: $i > $i ).

thf(tp_sK791_E,type,
    sK791_E: $i > $i ).

thf(tp_sK792_E,type,
    sK792_E: $i > $i ).

thf(tp_sK793_E,type,
    sK793_E: $i > $i ).

thf(tp_sK794_E,type,
    sK794_E: $i > $i ).

thf(tp_sK795_E,type,
    sK795_E: $i > $i ).

thf(tp_sK796_E,type,
    sK796_E: $i > $i ).

thf(tp_sK797_E,type,
    sK797_E: $i > $i ).

thf(tp_sK798_E,type,
    sK798_E: $i > $i ).

thf(tp_sK799_E,type,
    sK799_E: $i > $i ).

thf(tp_sK79_E,type,
    sK79_E: $i > $i ).

thf(tp_sK7_SY13,type,
    sK7_SY13: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).

thf(tp_sK800_E,type,
    sK800_E: $i > $i ).

thf(tp_sK801_E,type,
    sK801_E: $i > $i ).

thf(tp_sK802_E,type,
    sK802_E: $i > $i ).

thf(tp_sK803_E,type,
    sK803_E: $i > $i ).

thf(tp_sK804_E,type,
    sK804_E: $i > $i ).

thf(tp_sK805_E,type,
    sK805_E: $i > $i ).

thf(tp_sK806_E,type,
    sK806_E: $i > $i ).

thf(tp_sK807_E,type,
    sK807_E: $i > $i ).

thf(tp_sK808_E,type,
    sK808_E: $i > $i ).

thf(tp_sK809_E,type,
    sK809_E: $i > $i ).

thf(tp_sK80_E,type,
    sK80_E: $i > $i ).

thf(tp_sK810_E,type,
    sK810_E: $i > $i ).

thf(tp_sK811_E,type,
    sK811_E: $i > $i ).

thf(tp_sK812_E,type,
    sK812_E: $i > $i ).

thf(tp_sK813_E,type,
    sK813_E: $i > $i ).

thf(tp_sK814_E,type,
    sK814_E: $i > $i ).

thf(tp_sK815_E,type,
    sK815_E: $i > $i ).

thf(tp_sK816_E,type,
    sK816_E: $i > $i ).

thf(tp_sK817_E,type,
    sK817_E: $i > $i ).

thf(tp_sK81_E,type,
    sK81_E: $i > $i ).

thf(tp_sK82_E,type,
    sK82_E: $i > $i ).

thf(tp_sK83_E,type,
    sK83_E: $i > $i ).

thf(tp_sK84_E,type,
    sK84_E: $i > $i ).

thf(tp_sK85_E,type,
    sK85_E: $i > $i ).

thf(tp_sK86_E,type,
    sK86_E: $i > $i ).

thf(tp_sK87_E,type,
    sK87_E: $i > $i ).

thf(tp_sK88_E,type,
    sK88_E: $i > $i ).

thf(tp_sK89_E,type,
    sK89_E: $i > $i ).

thf(tp_sK8_SV53,type,
    sK8_SV53: $i > $i ).

thf(tp_sK90_E,type,
    sK90_E: $i > $i ).

thf(tp_sK91_E,type,
    sK91_E: $i > $i ).

thf(tp_sK92_E,type,
    sK92_E: $i > $i ).

thf(tp_sK93_E,type,
    sK93_E: $i > $i ).

thf(tp_sK94_E,type,
    sK94_E: $i > $i ).

thf(tp_sK95_E,type,
    sK95_E: $i > $i ).

thf(tp_sK96_E,type,
    sK96_E: $i > $i ).

thf(tp_sK97_E,type,
    sK97_E: $i > $i ).

thf(tp_sK98_E,type,
    sK98_E: $i > $i ).

thf(tp_sK99_E,type,
    sK99_E: $i > $i ).

thf(tp_sK9_SV54,type,
    sK9_SV54: $i > $i ).

thf(1,conjecture,
    ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ! [Xx: $i > $o] : ( R @ Xx @ Xx )
      & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
          ( ( ( R @ Xx @ Xy )
            & ( R @ Xy @ Xz ) )
         => ( R @ Xx @ Xz ) )
      & ! [X: $i > $o,Y: $i > $o] :
          ( ( ( R @ X @ Y )
            & ( R @ Y @ X ) )
         => ! [Xx: $i] :
              ( ( X @ Xx )
            <=> ( Y @ Xx ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120I_pme) ).

thf(2,negated_conjecture,
    ( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
          ( ! [Xx: $i > $o] : ( R @ Xx @ Xx )
          & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
              ( ( ( R @ Xx @ Xy )
                & ( R @ Xy @ Xz ) )
             => ( R @ Xx @ Xz ) )
          & ! [X: $i > $o,Y: $i > $o] :
              ( ( ( R @ X @ Y )
                & ( R @ Y @ X ) )
             => ! [Xx: $i] :
                  ( ( X @ Xx )
                <=> ( Y @ Xx ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
          ( ! [Xx: $i > $o] : ( R @ Xx @ Xx )
          & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
              ( ( ( R @ Xx @ Xy )
                & ( R @ Xy @ Xz ) )
             => ( R @ Xx @ Xz ) )
          & ! [X: $i > $o,Y: $i > $o] :
              ( ( ( R @ X @ Y )
                & ( R @ Y @ X ) )
             => ! [Xx: $i] :
                  ( ( X @ Xx )
                <=> ( Y @ Xx ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
            ( ! [Xx: $i > $o] : ( R @ Xx @ Xx )
            & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
                ( ( ( R @ Xx @ Xy )
                  & ( R @ Xy @ Xz ) )
               => ( R @ Xx @ Xz ) )
            & ! [X: $i > $o,Y: $i > $o] :
                ( ( ( R @ X @ Y )
                  & ( R @ Y @ X ) )
               => ! [Xx: $i] :
                    ( ( X @ Xx )
                  <=> ( Y @ Xx ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ! [R: ( $i > $o ) > ( $i > $o ) > $o] :
          ( ( ( R @ ( sK5_X @ R ) @ ( sK6_SY11 @ R ) )
            & ( R @ ( sK6_SY11 @ R ) @ ( sK5_X @ R ) )
            & ( ~ ( sK5_X @ R @ ( sK7_SY13 @ R ) )
              | ~ ( sK6_SY11 @ R @ ( sK7_SY13 @ R ) ) )
            & ( ( sK5_X @ R @ ( sK7_SY13 @ R ) )
              | ( sK6_SY11 @ R @ ( sK7_SY13 @ R ) ) ) )
          | ~ ( R @ ( sK4_Xx @ R ) @ ( sK4_Xx @ R ) )
          | ( ( R @ ( sK1_Xx @ R ) @ ( sK2_SY8 @ R ) )
            & ( R @ ( sK2_SY8 @ R ) @ ( sK3_SY10 @ R ) )
            & ~ ( R @ ( sK1_Xx @ R ) @ ( sK3_SY10 @ R ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ! [R: ( $i > $o ) > ( $i > $o ) > $o] :
          ( ( ( R @ ( sK5_X @ R ) @ ( sK6_SY11 @ R ) )
            & ( R @ ( sK6_SY11 @ R ) @ ( sK5_X @ R ) )
            & ( ~ ( sK5_X @ R @ ( sK7_SY13 @ R ) )
              | ~ ( sK6_SY11 @ R @ ( sK7_SY13 @ R ) ) )
            & ( ( sK5_X @ R @ ( sK7_SY13 @ R ) )
              | ( sK6_SY11 @ R @ ( sK7_SY13 @ R ) ) ) )
          | ~ ( R @ ( sK4_Xx @ R ) @ ( sK4_Xx @ R ) )
          | ( ( R @ ( sK1_Xx @ R ) @ ( sK2_SY8 @ R ) )
            & ( R @ ( sK2_SY8 @ R ) @ ( sK3_SY10 @ R ) )
            & ~ ( R @ ( sK1_Xx @ R ) @ ( sK3_SY10 @ R ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
          ( ~ ( ~ ~ ( ~ ( SX0 @ ( sK5_X @ SX0 ) @ ( sK6_SY11 @ SX0 ) )
                    | ~ ( SX0 @ ( sK6_SY11 @ SX0 ) @ ( sK5_X @ SX0 ) ) )
              | ~ ~ ( ~ ( ~ ( sK5_X @ SX0 @ ( sK7_SY13 @ SX0 ) )
                        | ~ ( sK6_SY11 @ SX0 @ ( sK7_SY13 @ SX0 ) ) )
                    | ~ ( ( sK5_X @ SX0 @ ( sK7_SY13 @ SX0 ) )
                        | ( sK6_SY11 @ SX0 @ ( sK7_SY13 @ SX0 ) ) ) ) )
          | ~ ( SX0 @ ( sK4_Xx @ SX0 ) @ ( sK4_Xx @ SX0 ) )
          | ~ ( ~ ~ ( ~ ( SX0 @ ( sK1_Xx @ SX0 ) @ ( sK2_SY8 @ SX0 ) )
                    | ~ ( SX0 @ ( sK2_SY8 @ SX0 ) @ ( sK3_SY10 @ SX0 ) ) )
              | ~ ~ ( SX0 @ ( sK1_Xx @ SX0 ) @ ( sK3_SY10 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(8,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
                  | ~ ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) ) )
            | ~ ~ ( ~ ( ~ ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
                      | ~ ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
                  | ~ ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
                      | ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) ) ) )
        | ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                  | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
            | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7]) ).

thf(9,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
                    | ~ ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) ) )
              | ~ ~ ( ~ ( ~ ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
                        | ~ ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
                    | ~ ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
                        | ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8]) ).

thf(10,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
                | ~ ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) ) )
          | ~ ~ ( ~ ( ~ ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
                    | ~ ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
                | ~ ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
                    | ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9]) ).

thf(11,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
                | ~ ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) ) ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10]) ).

thf(12,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( ~ ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
                    | ~ ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
                | ~ ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
                    | ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[10]) ).

thf(13,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
              | ~ ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) ) ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[11]) ).

thf(14,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( ~ ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
                  | ~ ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
              | ~ ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
                  | ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[12]) ).

thf(15,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
          | ~ ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[13]) ).

thf(16,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
              | ~ ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
          | ~ ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
              | ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[14]) ).

thf(17,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[15]) ).

thf(18,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[15]) ).

thf(19,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
              | ~ ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(20,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
              | ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(21,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[17]) ).

thf(22,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[18]) ).

thf(23,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
          | ~ ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[19]) ).

thf(24,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
          | ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[20]) ).

thf(25,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[21]) ).

thf(26,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[22]) ).

thf(27,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[23]) ).

thf(28,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[24]) ).

thf(29,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[25]) ).

thf(30,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[26]) ).

thf(31,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( ~ ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[27]) ).

thf(32,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[28]) ).

thf(33,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
          | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[29]) ).

thf(34,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
          | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[30]) ).

thf(35,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[31]) ).

thf(36,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(37,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[33]) ).

thf(38,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[33]) ).

thf(39,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[34]) ).

thf(40,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[34]) ).

thf(41,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[35]) ).

thf(42,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
          | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[36]) ).

thf(43,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
              | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[37]) ).

thf(44,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[38]) ).

thf(45,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
              | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[39]) ).

thf(46,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[40]) ).

thf(47,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                    | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(48,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[42]) ).

thf(49,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[42]) ).

thf(50,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
          | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(51,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[44]) ).

thf(52,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
          | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[45]) ).

thf(53,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[46]) ).

thf(54,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
          | ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[47]) ).

thf(55,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
              | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[48]) ).

thf(56,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[49]) ).

thf(57,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[50]) ).

thf(58,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[50]) ).

thf(59,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(60,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(61,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
                | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[54]) ).

thf(62,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[54]) ).

thf(63,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
          | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(64,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(65,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[57]) ).

thf(66,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_X @ SV1 ) @ ( sK6_SY11 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[58]) ).

thf(67,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[59]) ).

thf(68,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK6_SY11 @ SV1 ) @ ( sK5_X @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[60]) ).

thf(69,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
              | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[61]) ).

thf(70,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[62]) ).

thf(71,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[63]) ).

thf(72,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[63]) ).

thf(73,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
          | ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(74,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY10 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(75,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[71]) ).

thf(76,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[72]) ).

thf(77,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[73]) ).

thf(78,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[73]) ).

thf(79,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY8 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[77]) ).

thf(80,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK2_SY8 @ SV1 ) @ ( sK3_SY10 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_Xx @ SV1 ) @ ( sK4_Xx @ SV1 ) )
        = $false )
      | ( ( sK5_X @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false )
      | ( ( sK6_SY11 @ SV1 @ ( sK7_SY13 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[78]) ).

thf(81,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[51:[bind(SV1,$thf( ^ [SV3: $i > $o] : ^ [SV2: $i > $o] : ( SV3 = SV2 ) ))]]) ).

thf(82,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[81]) ).

thf(83,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[53:[bind(SV1,$thf( ^ [SV5: $i > $o] : ^ [SV4: $i > $o] : ( SV5 = SV4 ) ))]]) ).

thf(84,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[83]) ).

thf(85,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[64:[bind(SV1,$thf( ^ [SV7: $i > $o] : ^ [SV6: $i > $o] : ( SV7 = SV6 ) ))]]) ).

thf(86,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[85]) ).

thf(87,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[65:[bind(SV1,$thf( ^ [SV9: $i > $o] : ^ [SV8: $i > $o] : ( SV9 = SV8 ) ))]]) ).

thf(88,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[87]) ).

thf(89,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[66:[bind(SV1,$thf( ^ [SV11: $i > $o] : ^ [SV10: $i > $o] : ( SV11 = SV10 ) ))]]) ).

thf(90,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[89]) ).

thf(91,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[67:[bind(SV1,$thf( ^ [SV13: $i > $o] : ^ [SV12: $i > $o] : ( SV13 = SV12 ) ))]]) ).

thf(92,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[91]) ).

thf(93,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[68:[bind(SV1,$thf( ^ [SV15: $i > $o] : ^ [SV14: $i > $o] : ( SV15 = SV14 ) ))]]) ).

thf(94,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[93]) ).

thf(95,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[74:[bind(SV1,$thf( ^ [SV17: $i > $o] : ^ [SV16: $i > $o] : ( SV17 = SV16 ) ))]]) ).

thf(96,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[95]) ).

thf(97,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[75:[bind(SV1,$thf( ^ [SV19: $i > $o] : ^ [SV18: $i > $o] : ( SV19 = SV18 ) ))]]) ).

thf(98,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[97]) ).

thf(99,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[76:[bind(SV1,$thf( ^ [SV21: $i > $o] : ^ [SV20: $i > $o] : ( SV21 = SV20 ) ))]]) ).

thf(100,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[99]) ).

thf(101,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[79:[bind(SV1,$thf( ^ [SV23: $i > $o] : ^ [SV22: $i > $o] : ( SV23 = SV22 ) ))]]) ).

thf(102,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[101]) ).

thf(103,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[80:[bind(SV1,$thf( ^ [SV25: $i > $o] : ^ [SV24: $i > $o] : ( SV25 = SV24 ) ))]]) ).

thf(104,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[103]) ).

thf(107,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[51:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(109,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[51:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(112,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[53:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(114,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[53:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(115,plain,
    ( ( $true = $false )
    | ( $true = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : $true
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : $true ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : $true
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : $true ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[64:[bind(SV1,$thf( ^ [SV31: $i > $o] : ^ [SV32: $i > $o] : $true ))]]) ).

thf(117,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[64:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(119,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[64:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(122,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[65:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(124,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[65:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(127,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[66:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(129,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[66:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(132,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[67:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(134,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[67:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(137,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[68:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(139,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[68:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(140,plain,
    ( ( $true = $false )
    | ( $true = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : $true
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : $true ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : $true
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : $true ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[74:[bind(SV1,$thf( ^ [SV31: $i > $o] : ^ [SV32: $i > $o] : $true ))]]) ).

thf(142,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[74:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(144,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[74:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(147,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[75:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(149,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[75:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(152,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[76:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(154,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[76:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(157,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[79:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(159,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[79:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(162,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV28
              @ ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[80:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV27: $i > $o] : ~ ( SV28 @ SV26 @ SV27 ) ))]]) ).

thf(164,plain,
    ( ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[80:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).

thf(165,plain,
    ( ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[88]) ).

thf(166,plain,
    ( ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[90]) ).

thf(167,plain,
    ( ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[92]) ).

thf(168,plain,
    ( ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[94]) ).

thf(169,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV35 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV35 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[165]) ).

thf(170,plain,
    ! [SV36: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV36 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV36 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[166]) ).

thf(171,plain,
    ! [SV37: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV37 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV37 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[167]) ).

thf(172,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV38 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV38 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[168]) ).

thf(173,plain,
    ! [SV39: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV39 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV39 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[82]) ).

thf(174,plain,
    ! [SV40: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV40 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV40 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[84]) ).

thf(175,plain,
    ! [SV41: $i,SV42: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV41 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV41 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV42 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV42 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[88]) ).

thf(176,plain,
    ! [SV43: $i,SV44: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV43 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV43 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[90]) ).

thf(177,plain,
    ! [SV45: $i,SV46: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV45 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV45 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV46 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV46 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[92]) ).

thf(178,plain,
    ! [SV47: $i,SV48: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV48 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV48 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[94]) ).

thf(179,plain,
    ! [SV49: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV49 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV49 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[98]) ).

thf(180,plain,
    ! [SV50: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[100]) ).

thf(181,plain,
    ! [SV51: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV51 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV51 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[102]) ).

thf(182,plain,
    ! [SV52: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV52 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV52 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[104]) ).

thf(183,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[169]) ).

thf(184,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[169]) ).

thf(185,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[170]) ).

thf(186,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[170]) ).

thf(187,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[171]) ).

thf(188,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[171]) ).

thf(189,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[172]) ).

thf(190,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[172]) ).

thf(191,plain,
    ! [SV39: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[173]) ).

thf(192,plain,
    ! [SV39: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[173]) ).

thf(193,plain,
    ! [SV40: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[174]) ).

thf(194,plain,
    ! [SV40: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[174]) ).

thf(195,plain,
    ! [SV41: $i,SV42: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[175]) ).

thf(196,plain,
    ! [SV41: $i,SV42: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[175]) ).

thf(197,plain,
    ! [SV43: $i,SV44: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[176]) ).

thf(198,plain,
    ! [SV43: $i,SV44: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[176]) ).

thf(199,plain,
    ! [SV45: $i,SV46: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[177]) ).

thf(200,plain,
    ! [SV45: $i,SV46: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[177]) ).

thf(201,plain,
    ! [SV47: $i,SV48: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[178]) ).

thf(202,plain,
    ! [SV47: $i,SV48: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[178]) ).

thf(203,plain,
    ! [SV49: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[179]) ).

thf(204,plain,
    ! [SV49: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[179]) ).

thf(205,plain,
    ! [SV50: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[180]) ).

thf(206,plain,
    ! [SV50: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[180]) ).

thf(207,plain,
    ! [SV51: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[181]) ).

thf(208,plain,
    ! [SV51: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[181]) ).

thf(209,plain,
    ! [SV52: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV52 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV52 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[182]) ).

thf(210,plain,
    ! [SV52: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV52 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV52 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[182]) ).

thf(211,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[184]) ).

thf(212,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[184]) ).

thf(213,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[183]) ).

thf(214,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[183]) ).

thf(215,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[186]) ).

thf(216,plain,
    ! [SV36: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[186]) ).

thf(217,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[185]) ).

thf(218,plain,
    ! [SV36: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[185]) ).

thf(219,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[188]) ).

thf(220,plain,
    ! [SV37: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[188]) ).

thf(221,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[187]) ).

thf(222,plain,
    ! [SV37: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[187]) ).

thf(223,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[190]) ).

thf(224,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[190]) ).

thf(225,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[189]) ).

thf(226,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[189]) ).

thf(227,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV53: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV53 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV53 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[192]) ).

thf(228,plain,
    ! [SV39: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[192]) ).

thf(229,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV54: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV54 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV54 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[191]) ).

thf(230,plain,
    ! [SV39: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[191]) ).

thf(231,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV55: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV55 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV55 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[194]) ).

thf(232,plain,
    ! [SV40: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[194]) ).

thf(233,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV56: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV56 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV56 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[193]) ).

thf(234,plain,
    ! [SV40: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[193]) ).

thf(235,plain,
    ( ( ( ! [SV57: $i] :
            ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV57 )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV57 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[86]) ).

thf(236,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[86]) ).

thf(237,plain,
    ( ( ( ! [SV58: $i] :
            ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV58 )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV58 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[96]) ).

thf(238,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[96]) ).

thf(239,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[211]) ).

thf(240,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[211]) ).

thf(241,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[213]) ).

thf(242,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[213]) ).

thf(243,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[215]) ).

thf(244,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[215]) ).

thf(245,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[217]) ).

thf(246,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[217]) ).

thf(247,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[219]) ).

thf(248,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[219]) ).

thf(249,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[221]) ).

thf(250,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[221]) ).

thf(251,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[223]) ).

thf(252,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[223]) ).

thf(253,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[225]) ).

thf(254,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[225]) ).

thf(255,plain,
    ! [SV39: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK8_SV53 @ SV39 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK8_SV53 @ SV39 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[227]) ).

thf(256,plain,
    ! [SV39: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK9_SV54 @ SV39 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK9_SV54 @ SV39 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[229]) ).

thf(257,plain,
    ! [SV40: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK10_SV55 @ SV40 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK10_SV55 @ SV40 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[231]) ).

thf(258,plain,
    ! [SV40: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK11_SV56 @ SV40 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK11_SV56 @ SV40 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[233]) ).

thf(259,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK12_SV57 )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK12_SV57 ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[235]) ).

thf(260,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK13_SV58 )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK13_SV58 ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[237]) ).

thf(261,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[239]) ).

thf(262,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[240]) ).

thf(263,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[241]) ).

thf(264,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[242]) ).

thf(265,plain,
    ! [SV36: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[243]) ).

thf(266,plain,
    ! [SV36: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[244]) ).

thf(267,plain,
    ! [SV36: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[245]) ).

thf(268,plain,
    ! [SV36: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[246]) ).

thf(269,plain,
    ! [SV37: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[247]) ).

thf(270,plain,
    ! [SV37: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[248]) ).

thf(271,plain,
    ! [SV37: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[249]) ).

thf(272,plain,
    ! [SV37: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[250]) ).

thf(273,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[251]) ).

thf(274,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[252]) ).

thf(275,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[253]) ).

thf(276,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[254]) ).

thf(277,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK8_SV53 @ SV39 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK8_SV53 @ SV39 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK8_SV53 @ SV39 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK8_SV53 @ SV39 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[255]) ).

thf(279,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK9_SV54 @ SV39 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK9_SV54 @ SV39 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK9_SV54 @ SV39 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK9_SV54 @ SV39 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[256]) ).

thf(281,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK10_SV55 @ SV40 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK10_SV55 @ SV40 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK10_SV55 @ SV40 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK10_SV55 @ SV40 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[257]) ).

thf(283,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK11_SV56 @ SV40 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK11_SV56 @ SV40 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK11_SV56 @ SV40 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK11_SV56 @ SV40 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[258]) ).

thf(285,plain,
    ( ( ( ~ ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK12_SV57 )
            | ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK12_SV57 ) )
        | ~ ( ~ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK12_SV57 )
            | ~ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK12_SV57 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[259]) ).

thf(287,plain,
    ( ( ( ~ ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK13_SV58 )
            | ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK13_SV58 ) )
        | ~ ( ~ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK13_SV58 )
            | ~ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK13_SV58 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[260]) ).

thf(289,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[261]) ).

thf(290,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[262]) ).

thf(291,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[263]) ).

thf(292,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[264]) ).

thf(293,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[265]) ).

thf(294,plain,
    ! [SV36: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[266]) ).

thf(295,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[267]) ).

thf(296,plain,
    ! [SV36: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[268]) ).

thf(297,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[269]) ).

thf(298,plain,
    ! [SV37: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[270]) ).

thf(299,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[271]) ).

thf(300,plain,
    ! [SV37: $i] :
      ( ( ( ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[272]) ).

thf(301,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[273]) ).

thf(302,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[274]) ).

thf(303,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[275]) ).

thf(304,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[276]) ).

thf(305,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK8_SV53 @ SV39 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK8_SV53 @ SV39 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[277]) ).

thf(306,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK8_SV53 @ SV39 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK8_SV53 @ SV39 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[277]) ).

thf(307,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK9_SV54 @ SV39 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK9_SV54 @ SV39 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[279]) ).

thf(308,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK9_SV54 @ SV39 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK9_SV54 @ SV39 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[279]) ).

thf(309,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK10_SV55 @ SV40 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK10_SV55 @ SV40 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(310,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK10_SV55 @ SV40 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK10_SV55 @ SV40 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(311,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK11_SV56 @ SV40 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK11_SV56 @ SV40 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[283]) ).

thf(312,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK11_SV56 @ SV40 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK11_SV56 @ SV40 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[283]) ).

thf(313,plain,
    ( ( ( ~ ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK12_SV57 )
            | ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK12_SV57 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[285]) ).

thf(314,plain,
    ( ( ( ~ ( ~ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK12_SV57 )
            | ~ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK12_SV57 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[285]) ).

thf(315,plain,
    ( ( ( ~ ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK13_SV58 )
            | ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK13_SV58 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[287]) ).

thf(316,plain,
    ( ( ( ~ ( ~ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK13_SV58 )
            | ~ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK13_SV58 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[287]) ).

thf(317,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV59: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV59 )
              = ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV59 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[289]) ).

thf(318,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[289]) ).

thf(319,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[290]) ).

thf(320,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV60: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV60 )
              = ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV60 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[291]) ).

thf(321,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[291]) ).

thf(322,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[292]) ).

thf(323,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV61: $i] :
              ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV61 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV61 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[293]) ).

thf(324,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[293]) ).

thf(325,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[294]) ).

thf(326,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV62: $i] :
              ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV62 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV62 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[295]) ).

thf(327,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[295]) ).

thf(328,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[296]) ).

thf(329,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV63: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV63 )
              = ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV63 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[297]) ).

thf(330,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[297]) ).

thf(331,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[298]) ).

thf(332,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV64: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV64 )
              = ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV64 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[299]) ).

thf(333,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[299]) ).

thf(334,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[300]) ).

thf(335,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV65: $i] :
              ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV65 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV65 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[301]) ).

thf(336,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[301]) ).

thf(337,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[302]) ).

thf(338,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV66: $i] :
              ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV66 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV66 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[303]) ).

thf(339,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[303]) ).

thf(340,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[304]) ).

thf(341,plain,
    ! [SV39: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK8_SV53 @ SV39 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK8_SV53 @ SV39 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[305]) ).

thf(342,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK8_SV53 @ SV39 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK8_SV53 @ SV39 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[306]) ).

thf(343,plain,
    ! [SV39: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK9_SV54 @ SV39 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK9_SV54 @ SV39 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[307]) ).

thf(344,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK9_SV54 @ SV39 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK9_SV54 @ SV39 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[308]) ).

thf(345,plain,
    ! [SV40: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK10_SV55 @ SV40 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK10_SV55 @ SV40 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[309]) ).

thf(346,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK10_SV55 @ SV40 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK10_SV55 @ SV40 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[310]) ).

thf(347,plain,
    ! [SV40: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK11_SV56 @ SV40 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK11_SV56 @ SV40 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[311]) ).

thf(348,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK11_SV56 @ SV40 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK11_SV56 @ SV40 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[312]) ).

thf(349,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK12_SV57 )
        | ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK12_SV57 ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[313]) ).

thf(350,plain,
    ( ( ( ~ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK12_SV57 )
        | ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK12_SV57 ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[314]) ).

thf(351,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK13_SV58 )
        | ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK13_SV58 ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[315]) ).

thf(352,plain,
    ( ( ( ~ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK13_SV58 )
        | ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK13_SV58 ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[316]) ).

thf(353,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(354,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV68: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV68 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV68 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[318]) ).

thf(355,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[318]) ).

thf(356,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV69: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV69 )
              = ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV69 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[319]) ).

thf(357,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[319]) ).

thf(358,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(359,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV71: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV71 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV71 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[321]) ).

thf(360,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[321]) ).

thf(361,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV72: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 )
              = ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[322]) ).

thf(362,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[322]) ).

thf(363,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(364,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV74: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV74 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV74 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[324]) ).

thf(365,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[324]) ).

thf(366,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV75: $i] :
              ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[325]) ).

thf(367,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[325]) ).

thf(368,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(369,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV77: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV77 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV77 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[327]) ).

thf(370,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[327]) ).

thf(371,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV78: $i] :
              ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV78 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV78 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[328]) ).

thf(372,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[328]) ).

thf(373,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(374,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV80: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV80 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV80 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[330]) ).

thf(375,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[330]) ).

thf(376,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV81: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV81 )
              = ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV81 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[331]) ).

thf(377,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[331]) ).

thf(378,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(379,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV83: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV83 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV83 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[333]) ).

thf(380,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[333]) ).

thf(381,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV84: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV84 )
              = ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV84 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[334]) ).

thf(382,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[334]) ).

thf(383,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(384,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV86: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV86 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV86 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[336]) ).

thf(385,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[336]) ).

thf(386,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV87: $i] :
              ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV87 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV87 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[337]) ).

thf(387,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[337]) ).

thf(388,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(389,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV89: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV89 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV89 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[339]) ).

thf(390,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[339]) ).

thf(391,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV90: $i] :
              ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV90 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV90 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[340]) ).

thf(392,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[340]) ).

thf(393,plain,
    ! [SV39: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK8_SV53 @ SV39 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK8_SV53 @ SV39 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[341]) ).

thf(394,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK8_SV53 @ SV39 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK8_SV53 @ SV39 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[342]) ).

thf(395,plain,
    ! [SV39: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK9_SV54 @ SV39 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK9_SV54 @ SV39 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[343]) ).

thf(396,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK9_SV54 @ SV39 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK9_SV54 @ SV39 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[344]) ).

thf(397,plain,
    ! [SV40: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK10_SV55 @ SV40 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK10_SV55 @ SV40 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[345]) ).

thf(398,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK10_SV55 @ SV40 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK10_SV55 @ SV40 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[346]) ).

thf(399,plain,
    ! [SV40: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK11_SV56 @ SV40 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK11_SV56 @ SV40 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[347]) ).

thf(400,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK11_SV56 @ SV40 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK11_SV56 @ SV40 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[348]) ).

thf(401,plain,
    ( ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK12_SV57 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK12_SV57 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[349]) ).

thf(402,plain,
    ( ( ( ~ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK12_SV57 ) )
      = $true )
    | ( ( ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK12_SV57 ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[350]) ).

thf(403,plain,
    ( ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK13_SV58 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK13_SV58 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[351]) ).

thf(404,plain,
    ( ( ( ~ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK13_SV58 ) )
      = $true )
    | ( ( ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK13_SV58 ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[352]) ).

thf(405,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV67 )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV67 ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV67 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV67 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[353]) ).

thf(406,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[353]) ).

thf(407,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(408,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK14_SV69 @ SV35 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK14_SV69 @ SV35 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[356]) ).

thf(409,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[357]) ).

thf(410,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[358]) ).

thf(411,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[358]) ).

thf(412,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV92 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV92 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(413,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV72 @ SV35 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV72 @ SV35 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[361]) ).

thf(414,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(415,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 ) )
          | ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[363]) ).

thf(416,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[363]) ).

thf(417,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV93 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV93 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(418,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV75 @ SV36 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV75 @ SV36 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[366]) ).

thf(419,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[367]) ).

thf(420,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV76 )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV76 ) )
          | ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[368]) ).

thf(421,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[368]) ).

thf(422,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(423,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV78 @ SV36 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV78 @ SV36 ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[371]) ).

thf(424,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[372]) ).

thf(425,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV79 )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV79 ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[373]) ).

thf(426,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[373]) ).

thf(427,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(428,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK18_SV81 @ SV37 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK18_SV81 @ SV37 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[376]) ).

thf(429,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(430,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[378]) ).

thf(431,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[378]) ).

thf(432,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[379]) ).

thf(433,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK19_SV84 @ SV37 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK19_SV84 @ SV37 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[381]) ).

thf(434,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[382]) ).

thf(435,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 ) )
          | ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[383]) ).

thf(436,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[383]) ).

thf(437,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[384]) ).

thf(438,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK20_SV87 @ SV38 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK20_SV87 @ SV38 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[386]) ).

thf(439,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[387]) ).

thf(440,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV88 )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV88 ) )
          | ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[388]) ).

thf(441,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[388]) ).

thf(442,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[389]) ).

thf(443,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV90 @ SV38 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV90 @ SV38 ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[391]) ).

thf(444,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(445,plain,
    ! [SV39: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK8_SV53 @ SV39 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK8_SV53 @ SV39 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(446,plain,
    ! [SV39: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK9_SV54 @ SV39 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK9_SV54 @ SV39 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[396]) ).

thf(447,plain,
    ! [SV40: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK10_SV55 @ SV40 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK10_SV55 @ SV40 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[398]) ).

thf(448,plain,
    ! [SV40: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK11_SV56 @ SV40 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK11_SV56 @ SV40 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[400]) ).

thf(449,plain,
    ( ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK12_SV57 )
      = $false )
    | ( ( ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK12_SV57 ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[402]) ).

thf(450,plain,
    ( ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK13_SV58 )
      = $false )
    | ( ( ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK13_SV58 ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[404]) ).

thf(451,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV67 )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV67 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV67 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV67 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[405]) ).

thf(452,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ! [SV99: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV99 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV99 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[406]) ).

thf(453,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[406]) ).

thf(454,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV91 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV91 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[407]) ).

thf(455,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[407]) ).

thf(456,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK14_SV69 @ SV35 ) )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK14_SV69 @ SV35 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK14_SV69 @ SV35 ) )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK14_SV69 @ SV35 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[408]) ).

thf(458,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV100: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV100 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV100 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[409]) ).

thf(459,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[409]) ).

thf(460,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[410]) ).

thf(461,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ! [SV101: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[411]) ).

thf(462,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[411]) ).

thf(463,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV92 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV92 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV92 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV92 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[412]) ).

thf(464,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV92 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV92 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[412]) ).

thf(465,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV72 @ SV35 ) )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV72 @ SV35 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV72 @ SV35 ) )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV72 @ SV35 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[413]) ).

thf(467,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV102: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV102 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV102 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[414]) ).

thf(468,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[414]) ).

thf(469,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[415]) ).

thf(470,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ! [SV103: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV103 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV103 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[416]) ).

thf(471,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[416]) ).

thf(472,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV93 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV93 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV93 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV93 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[417]) ).

thf(473,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV93 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV93 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[417]) ).

thf(474,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV75 @ SV36 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV75 @ SV36 ) ) )
          | ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV75 @ SV36 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV75 @ SV36 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[418]) ).

thf(476,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV104: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV104 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV104 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[419]) ).

thf(477,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[419]) ).

thf(478,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV76 )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV76 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[420]) ).

thf(479,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ! [SV105: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV105 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV105 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[421]) ).

thf(480,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[421]) ).

thf(481,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[422]) ).

thf(482,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[422]) ).

thf(483,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV78 @ SV36 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV78 @ SV36 ) ) )
          | ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV78 @ SV36 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV78 @ SV36 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[423]) ).

thf(485,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV106: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV106 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV106 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[424]) ).

thf(486,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[424]) ).

thf(487,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV79 )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV79 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[425]) ).

thf(488,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ! [SV107: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV107 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV107 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[426]) ).

thf(489,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[426]) ).

thf(490,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[427]) ).

thf(491,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[427]) ).

thf(492,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK18_SV81 @ SV37 ) )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK18_SV81 @ SV37 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK18_SV81 @ SV37 ) )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK18_SV81 @ SV37 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[428]) ).

thf(494,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV108: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV108 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV108 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[429]) ).

thf(495,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[429]) ).

thf(496,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[430]) ).

thf(497,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ! [SV109: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV109 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV109 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[431]) ).

thf(498,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[431]) ).

thf(499,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[432]) ).

thf(500,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[432]) ).

thf(501,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK19_SV84 @ SV37 ) )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK19_SV84 @ SV37 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK19_SV84 @ SV37 ) )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK19_SV84 @ SV37 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[433]) ).

thf(503,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV110: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV110 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV110 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[434]) ).

thf(504,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[434]) ).

thf(505,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[435]) ).

thf(506,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ! [SV111: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV111 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV111 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[436]) ).

thf(507,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[436]) ).

thf(508,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[437]) ).

thf(509,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[437]) ).

thf(510,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK20_SV87 @ SV38 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK20_SV87 @ SV38 ) ) )
          | ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK20_SV87 @ SV38 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK20_SV87 @ SV38 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[438]) ).

thf(512,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV112: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV112 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV112 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[439]) ).

thf(513,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[439]) ).

thf(514,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV88 )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV88 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[440]) ).

thf(515,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ! [SV113: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV113 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV113 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[441]) ).

thf(516,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[441]) ).

thf(517,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[442]) ).

thf(518,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[442]) ).

thf(519,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV90 @ SV38 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV90 @ SV38 ) ) )
          | ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV90 @ SV38 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV90 @ SV38 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[443]) ).

thf(521,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV114: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV114 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV114 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[444]) ).

thf(522,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[444]) ).

thf(523,plain,
    ! [SV39: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK8_SV53 @ SV39 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK8_SV53 @ SV39 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(524,plain,
    ! [SV39: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK9_SV54 @ SV39 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK9_SV54 @ SV39 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[446]) ).

thf(525,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK10_SV55 @ SV40 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK10_SV55 @ SV40 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(526,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK11_SV56 @ SV40 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK11_SV56 @ SV40 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[448]) ).

thf(527,plain,
    ( ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK12_SV57 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK12_SV57 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[449]) ).

thf(528,plain,
    ( ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK13_SV58 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK13_SV58 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(529,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          | ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV67 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV67 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[451]) ).

thf(530,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV115 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV115 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(531,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV91 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV91 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[454]) ).

thf(532,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK14_SV69 @ SV35 ) )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK14_SV69 @ SV35 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[456]) ).

thf(533,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK14_SV69 @ SV35 ) )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK14_SV69 @ SV35 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[456]) ).

thf(535,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV100 @ SV35 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV100 @ SV35 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[458]) ).

thf(536,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          | ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(537,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[461]) ).

thf(538,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV92 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV92 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV92 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV92 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[463]) ).

thf(539,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV72 @ SV35 ) )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV72 @ SV35 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[465]) ).

thf(540,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV72 @ SV35 ) )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV72 @ SV35 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[465]) ).

thf(542,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV102 @ SV35 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV102 @ SV35 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[467]) ).

thf(543,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[469]) ).

thf(544,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(545,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV93 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV93 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV93 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV93 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[472]) ).

thf(546,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV75 @ SV36 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV75 @ SV36 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(547,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV75 @ SV36 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV75 @ SV36 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(549,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV104 @ SV36 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV104 @ SV36 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[476]) ).

thf(550,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(551,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[479]) ).

thf(552,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[481]) ).

thf(553,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV78 @ SV36 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV78 @ SV36 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[483]) ).

thf(554,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV78 @ SV36 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV78 @ SV36 ) ) ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[483]) ).

thf(556,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV106 @ SV36 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV106 @ SV36 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[485]) ).

thf(557,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          | ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(558,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[488]) ).

thf(559,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[490]) ).

thf(560,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK18_SV81 @ SV37 ) )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK18_SV81 @ SV37 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[492]) ).

thf(561,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK18_SV81 @ SV37 ) )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK18_SV81 @ SV37 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[492]) ).

thf(563,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV108 @ SV37 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV108 @ SV37 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[494]) ).

thf(564,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          | ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[496]) ).

thf(565,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[497]) ).

thf(566,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[499]) ).

thf(567,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK19_SV84 @ SV37 ) )
              | ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK19_SV84 @ SV37 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[501]) ).

thf(568,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK19_SV84 @ SV37 ) )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK19_SV84 @ SV37 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[501]) ).

thf(570,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV110 @ SV37 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV110 @ SV37 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[503]) ).

thf(571,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[505]) ).

thf(572,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[506]) ).

thf(573,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[508]) ).

thf(574,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK20_SV87 @ SV38 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK20_SV87 @ SV38 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[510]) ).

thf(575,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK20_SV87 @ SV38 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK20_SV87 @ SV38 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[510]) ).

thf(577,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV112 @ SV38 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV112 @ SV38 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[512]) ).

thf(578,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[514]) ).

thf(579,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[515]) ).

thf(580,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[517]) ).

thf(581,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV90 @ SV38 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV90 @ SV38 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[519]) ).

thf(582,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV90 @ SV38 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV90 @ SV38 ) ) ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[519]) ).

thf(584,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV114 @ SV38 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV114 @ SV38 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[521]) ).

thf(585,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV67 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV67 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[529]) ).

thf(586,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV67 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV67 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[529]) ).

thf(587,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV115 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV115 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV115 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV115 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[530]) ).

thf(588,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV115 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV115 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[530]) ).

thf(589,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[531]) ).

thf(590,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK14_SV69 @ SV35 ) )
          | ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK14_SV69 @ SV35 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[532]) ).

thf(591,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK14_SV69 @ SV35 ) )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK14_SV69 @ SV35 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[533]) ).

thf(594,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV100 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV100 @ SV35 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV100 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV100 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[535]) ).

thf(596,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[536]) ).

thf(597,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[536]) ).

thf(598,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[537]) ).

thf(599,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[537]) ).

thf(600,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV92 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV92 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV92 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV92 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[538]) ).

thf(601,plain,
    ! [SV35: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV72 @ SV35 ) )
          | ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV72 @ SV35 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[539]) ).

thf(602,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV72 @ SV35 ) )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV72 @ SV35 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(605,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV102 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV102 @ SV35 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV102 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV102 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[542]) ).

thf(607,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[543]) ).

thf(608,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[543]) ).

thf(609,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[544]) ).

thf(610,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[544]) ).

thf(611,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV93 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV93 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV93 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV93 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[545]) ).

thf(612,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV75 @ SV36 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV75 @ SV36 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[546]) ).

thf(613,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV75 @ SV36 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV75 @ SV36 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[547]) ).

thf(616,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV104 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV104 @ SV36 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV104 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV104 @ SV36 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[549]) ).

thf(618,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[550]) ).

thf(619,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 ) ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[550]) ).

thf(620,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV118 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV118 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[551]) ).

thf(621,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[551]) ).

thf(622,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[552]) ).

thf(623,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV78 @ SV36 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV78 @ SV36 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[553]) ).

thf(624,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV78 @ SV36 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV78 @ SV36 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[554]) ).

thf(627,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV106 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV106 @ SV36 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV106 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV106 @ SV36 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[556]) ).

thf(629,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[557]) ).

thf(630,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[557]) ).

thf(631,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[558]) ).

thf(632,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[558]) ).

thf(633,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(634,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK18_SV81 @ SV37 ) )
          | ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK18_SV81 @ SV37 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[560]) ).

thf(635,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK18_SV81 @ SV37 ) )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK18_SV81 @ SV37 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[561]) ).

thf(638,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV108 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV108 @ SV37 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV108 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV108 @ SV37 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[563]) ).

thf(640,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[564]) ).

thf(641,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 )
              | ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[564]) ).

thf(642,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV120 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV120 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[565]) ).

thf(643,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[565]) ).

thf(644,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[566]) ).

thf(645,plain,
    ! [SV37: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK19_SV84 @ SV37 ) )
          | ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK19_SV84 @ SV37 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[567]) ).

thf(646,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK19_SV84 @ SV37 ) )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK19_SV84 @ SV37 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[568]) ).

thf(649,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV110 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV110 @ SV37 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV110 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV110 @ SV37 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[570]) ).

thf(651,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[571]) ).

thf(652,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[571]) ).

thf(653,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV121 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV121 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[572]) ).

thf(654,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[572]) ).

thf(655,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[573]) ).

thf(656,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK20_SV87 @ SV38 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK20_SV87 @ SV38 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[574]) ).

thf(657,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK20_SV87 @ SV38 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK20_SV87 @ SV38 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[575]) ).

thf(660,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV112 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV112 @ SV38 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV112 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV112 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[577]) ).

thf(662,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[578]) ).

thf(663,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 ) ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[578]) ).

thf(664,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[579]) ).

thf(665,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[579]) ).

thf(666,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(667,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV90 @ SV38 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV90 @ SV38 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[581]) ).

thf(668,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV90 @ SV38 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV90 @ SV38 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[582]) ).

thf(671,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV114 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV114 @ SV38 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV114 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV114 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[584]) ).

thf(673,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV67 )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV67 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[585]) ).

thf(674,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV67 )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV67 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[586]) ).

thf(675,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV115 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV115 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV115 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV115 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[587]) ).

thf(676,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[589]) ).

thf(677,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[589]) ).

thf(678,plain,
    ! [SV35: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[590]) ).

thf(679,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK14_SV69 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK14_SV69 @ SV35 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[591]) ).

thf(681,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV100 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV100 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[594]) ).

thf(682,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV100 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV100 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[594]) ).

thf(683,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[596]) ).

thf(684,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(685,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[598]) ).

thf(686,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV92 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV92 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[600]) ).

thf(687,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV92 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV92 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[600]) ).

thf(688,plain,
    ! [SV35: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[601]) ).

thf(689,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV72 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV72 @ SV35 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[602]) ).

thf(691,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV102 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV102 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[605]) ).

thf(692,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV102 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV102 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[605]) ).

thf(693,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[607]) ).

thf(694,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[608]) ).

thf(695,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[609]) ).

thf(696,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV93 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV93 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[611]) ).

thf(697,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV93 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV93 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[611]) ).

thf(698,plain,
    ! [SV36: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[612]) ).

thf(699,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV75 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV75 @ SV36 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[613]) ).

thf(701,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV104 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV104 @ SV36 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[616]) ).

thf(702,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV104 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV104 @ SV36 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[616]) ).

thf(703,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[618]) ).

thf(704,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[619]) ).

thf(705,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV118 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV118 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[620]) ).

thf(706,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[622]) ).

thf(707,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[622]) ).

thf(708,plain,
    ! [SV36: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[623]) ).

thf(709,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV78 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV78 @ SV36 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[624]) ).

thf(711,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV106 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV106 @ SV36 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[627]) ).

thf(712,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV106 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV106 @ SV36 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[627]) ).

thf(713,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[629]) ).

thf(714,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[630]) ).

thf(715,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[631]) ).

thf(716,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[633]) ).

thf(717,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[633]) ).

thf(718,plain,
    ! [SV37: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[634]) ).

thf(719,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK18_SV81 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK18_SV81 @ SV37 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[635]) ).

thf(721,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV108 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV108 @ SV37 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[638]) ).

thf(722,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV108 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV108 @ SV37 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[638]) ).

thf(723,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[640]) ).

thf(724,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 )
          | ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(725,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV120 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV120 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[642]) ).

thf(726,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[644]) ).

thf(727,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[644]) ).

thf(728,plain,
    ! [SV37: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[645]) ).

thf(729,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK19_SV84 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK19_SV84 @ SV37 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[646]) ).

thf(731,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV110 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV110 @ SV37 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(732,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV110 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV110 @ SV37 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(733,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(734,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[652]) ).

thf(735,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV121 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV121 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[653]) ).

thf(736,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[655]) ).

thf(737,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[655]) ).

thf(738,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[656]) ).

thf(739,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK20_SV87 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK20_SV87 @ SV38 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[657]) ).

thf(741,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV112 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV112 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[660]) ).

thf(742,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV112 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV112 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[660]) ).

thf(743,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[662]) ).

thf(744,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(745,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[664]) ).

thf(746,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[666]) ).

thf(747,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[666]) ).

thf(748,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[667]) ).

thf(749,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV90 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV90 @ SV38 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[668]) ).

thf(751,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV114 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV114 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[671]) ).

thf(752,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV114 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV114 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[671]) ).

thf(754,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV67 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[673]) ).

thf(755,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV67 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[674]) ).

thf(757,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV115 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV115 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV115 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV115 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[675]) ).

thf(758,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[676]) ).

thf(759,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[677]) ).

thf(760,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[678]) ).

thf(761,plain,
    ! [SV35: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK14_SV69 @ SV35 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(764,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV100 @ SV35 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV100 @ SV35 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[681]) ).

thf(765,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV100 @ SV35 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV100 @ SV35 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[682]) ).

thf(767,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[683]) ).

thf(768,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[684]) ).

thf(770,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[685]) ).

thf(771,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV92 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV92 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[686]) ).

thf(772,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV92 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV92 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[687]) ).

thf(773,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[688]) ).

thf(774,plain,
    ! [SV35: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV72 @ SV35 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[689]) ).

thf(777,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV102 @ SV35 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV102 @ SV35 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[691]) ).

thf(778,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV102 @ SV35 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV102 @ SV35 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[692]) ).

thf(780,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[693]) ).

thf(781,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[694]) ).

thf(783,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[695]) ).

thf(784,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV93 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV93 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[696]) ).

thf(785,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV93 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV93 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[697]) ).

thf(786,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[698]) ).

thf(787,plain,
    ! [SV36: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV75 @ SV36 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[699]) ).

thf(790,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV104 @ SV36 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV104 @ SV36 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[701]) ).

thf(791,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV104 @ SV36 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV104 @ SV36 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[702]) ).

thf(793,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[703]) ).

thf(794,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[704]) ).

thf(796,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[705]) ).

thf(797,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[706]) ).

thf(798,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[707]) ).

thf(799,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(800,plain,
    ! [SV36: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV78 @ SV36 ) ) )
        = $true )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[709]) ).

thf(803,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV106 @ SV36 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV106 @ SV36 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[711]) ).

thf(804,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV106 @ SV36 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV106 @ SV36 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[712]) ).

thf(806,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[713]) ).

thf(807,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[714]) ).

thf(809,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[715]) ).

thf(810,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(811,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[717]) ).

thf(812,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[718]) ).

thf(813,plain,
    ! [SV37: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK18_SV81 @ SV37 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[719]) ).

thf(816,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV108 @ SV37 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV108 @ SV37 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[721]) ).

thf(817,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV108 @ SV37 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV108 @ SV37 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[722]) ).

thf(819,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[723]) ).

thf(820,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[724]) ).

thf(822,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[725]) ).

thf(823,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[726]) ).

thf(824,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[727]) ).

thf(825,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[728]) ).

thf(826,plain,
    ! [SV37: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK19_SV84 @ SV37 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[729]) ).

thf(829,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV110 @ SV37 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV110 @ SV37 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(830,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV110 @ SV37 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV110 @ SV37 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[732]) ).

thf(832,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[733]) ).

thf(833,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[734]) ).

thf(835,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[735]) ).

thf(836,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[736]) ).

thf(837,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[737]) ).

thf(838,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[738]) ).

thf(839,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK20_SV87 @ SV38 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[739]) ).

thf(842,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV112 @ SV38 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV112 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[741]) ).

thf(843,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV112 @ SV38 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV112 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[742]) ).

thf(845,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[743]) ).

thf(846,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ~ ( sK2_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[744]) ).

thf(848,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[745]) ).

thf(849,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[746]) ).

thf(850,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[747]) ).

thf(851,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[748]) ).

thf(852,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV90 @ SV38 ) ) )
        = $true )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[749]) ).

thf(855,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV114 @ SV38 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV114 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[751]) ).

thf(856,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV114 @ SV38 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV114 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[752]) ).

thf(858,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[754]) ).

thf(859,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[755]) ).

thf(861,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV115 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV115 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[757]) ).

thf(862,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV115 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV115 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[757]) ).

thf(864,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[758]) ).

thf(865,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[759]) ).

thf(867,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV131: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV131 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV131 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[760]) ).

thf(868,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[760]) ).

thf(869,plain,
    ! [SV35: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[761]) ).

thf(872,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[764]) ).

thf(873,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV100 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV100 @ SV35 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[765]) ).

thf(875,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[767]) ).

thf(876,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[768]) ).

thf(878,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[770]) ).

thf(879,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[770]) ).

thf(881,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV92 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[771]) ).

thf(882,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV92 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[772]) ).

thf(884,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV132: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV132 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV132 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[773]) ).

thf(885,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[773]) ).

thf(886,plain,
    ! [SV35: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(889,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[777]) ).

thf(890,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV102 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV102 @ SV35 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[778]) ).

thf(892,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[780]) ).

thf(893,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[781]) ).

thf(895,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[783]) ).

thf(896,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[783]) ).

thf(898,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV93 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[784]) ).

thf(899,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV93 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[785]) ).

thf(901,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV133: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV133 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV133 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[786]) ).

thf(902,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[786]) ).

thf(903,plain,
    ! [SV36: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[787]) ).

thf(906,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[790]) ).

thf(907,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV104 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV104 @ SV36 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[791]) ).

thf(909,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[793]) ).

thf(910,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[794]) ).

thf(912,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[796]) ).

thf(913,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[796]) ).

thf(915,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[797]) ).

thf(916,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[798]) ).

thf(918,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV134: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV134 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV134 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[799]) ).

thf(919,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[799]) ).

thf(920,plain,
    ! [SV36: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( ( ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[800]) ).

thf(923,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[803]) ).

thf(924,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV106 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV106 @ SV36 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[804]) ).

thf(926,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[806]) ).

thf(927,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[807]) ).

thf(929,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[809]) ).

thf(930,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[809]) ).

thf(932,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[810]) ).

thf(933,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[811]) ).

thf(935,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV135: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV135 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV135 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[812]) ).

thf(936,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[812]) ).

thf(937,plain,
    ! [SV37: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[813]) ).

thf(940,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[816]) ).

thf(941,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV108 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV108 @ SV37 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[817]) ).

thf(943,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[819]) ).

thf(944,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[820]) ).

thf(946,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[822]) ).

thf(947,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[822]) ).

thf(949,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[823]) ).

thf(950,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[824]) ).

thf(952,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV136: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV136 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV136 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[825]) ).

thf(953,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[825]) ).

thf(954,plain,
    ! [SV37: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[826]) ).

thf(957,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[829]) ).

thf(958,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV110 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV110 @ SV37 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[830]) ).

thf(960,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[832]) ).

thf(961,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[833]) ).

thf(963,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[835]) ).

thf(964,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[835]) ).

thf(966,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[836]) ).

thf(967,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[837]) ).

thf(969,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV137: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV137 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV137 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[838]) ).

thf(970,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[838]) ).

thf(971,plain,
    ! [SV38: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(974,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[842]) ).

thf(975,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV112 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV112 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[843]) ).

thf(977,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[845]) ).

thf(978,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[846]) ).

thf(980,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[848]) ).

thf(981,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[848]) ).

thf(983,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[849]) ).

thf(984,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[850]) ).

thf(986,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV138: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV138 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV138 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[851]) ).

thf(987,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[851]) ).

thf(988,plain,
    ! [SV38: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( ( ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[852]) ).

thf(991,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[855]) ).

thf(992,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV114 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV114 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[856]) ).

thf(995,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ! [SV140: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV140 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV140 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[858]) ).

thf(996,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[858]) ).

thf(997,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ! [SV141: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV141 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV141 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[859]) ).

thf(998,plain,
    ! [SV35: $i,SV67: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[859]) ).

thf(1001,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV115 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV115 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[861]) ).

thf(1002,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV115 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV115 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[862]) ).

thf(1004,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[864]) ).

thf(1005,plain,
    ! [SV35: $i,SV91: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[865]) ).

thf(1007,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV131 @ SV35 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV131 @ SV35 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[867]) ).

thf(1008,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(1011,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV100 @ SV35 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(1014,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ! [SV144: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV144 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV144 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[875]) ).

thf(1015,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[875]) ).

thf(1016,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ! [SV145: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV145 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV145 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[876]) ).

thf(1017,plain,
    ! [SV35: $i,SV70: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[876]) ).

thf(1020,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(1021,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(1023,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[881]) ).

thf(1024,plain,
    ! [SV35: $i,SV92: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[882]) ).

thf(1026,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV132 @ SV35 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV132 @ SV35 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[884]) ).

thf(1027,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(1030,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV102 @ SV35 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(1033,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ! [SV148: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV148 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV148 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[892]) ).

thf(1034,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[892]) ).

thf(1035,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ! [SV149: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV149 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV149 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[893]) ).

thf(1036,plain,
    ! [SV36: $i,SV73: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[893]) ).

thf(1039,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[895]) ).

thf(1040,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[896]) ).

thf(1042,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[898]) ).

thf(1043,plain,
    ! [SV36: $i,SV93: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[899]) ).

thf(1045,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK40_SV133 @ SV36 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK40_SV133 @ SV36 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[901]) ).

thf(1046,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[903]) ).

thf(1049,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV104 @ SV36 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[907]) ).

thf(1052,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ! [SV152: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV152 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV152 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[909]) ).

thf(1053,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[909]) ).

thf(1054,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ! [SV153: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV153 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV153 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[910]) ).

thf(1055,plain,
    ! [SV36: $i,SV76: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[910]) ).

thf(1058,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[912]) ).

thf(1059,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[913]) ).

thf(1061,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[915]) ).

thf(1062,plain,
    ! [SV36: $i,SV94: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[916]) ).

thf(1064,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK41_SV134 @ SV36 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK41_SV134 @ SV36 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[918]) ).

thf(1065,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[920]) ).

thf(1068,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV106 @ SV36 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(1071,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ! [SV156: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV156 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV156 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[926]) ).

thf(1072,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[926]) ).

thf(1073,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ! [SV157: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV157 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV157 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[927]) ).

thf(1074,plain,
    ! [SV37: $i,SV79: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[927]) ).

thf(1077,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[929]) ).

thf(1078,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[930]) ).

thf(1080,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[932]) ).

thf(1081,plain,
    ! [SV37: $i,SV95: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[933]) ).

thf(1083,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK42_SV135 @ SV37 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK42_SV135 @ SV37 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[935]) ).

thf(1084,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[937]) ).

thf(1087,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV108 @ SV37 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[941]) ).

thf(1090,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ! [SV160: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV160 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV160 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[943]) ).

thf(1091,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[943]) ).

thf(1092,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ! [SV161: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV161 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV161 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[944]) ).

thf(1093,plain,
    ! [SV37: $i,SV82: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[944]) ).

thf(1096,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[946]) ).

thf(1097,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[947]) ).

thf(1099,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[949]) ).

thf(1100,plain,
    ! [SV37: $i,SV96: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[950]) ).

thf(1102,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK43_SV136 @ SV37 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK43_SV136 @ SV37 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[952]) ).

thf(1103,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[954]) ).

thf(1106,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV110 @ SV37 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[958]) ).

thf(1109,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ! [SV164: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV164 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV164 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[960]) ).

thf(1110,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[960]) ).

thf(1111,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ! [SV165: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV165 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV165 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[961]) ).

thf(1112,plain,
    ! [SV38: $i,SV85: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[961]) ).

thf(1115,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[963]) ).

thf(1116,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[964]) ).

thf(1118,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[966]) ).

thf(1119,plain,
    ! [SV38: $i,SV97: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[967]) ).

thf(1121,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK44_SV137 @ SV38 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK44_SV137 @ SV38 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[969]) ).

thf(1122,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[971]) ).

thf(1125,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV112 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[975]) ).

thf(1128,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ! [SV168: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV168 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV168 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[977]) ).

thf(1129,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[977]) ).

thf(1130,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ! [SV169: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV169 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV169 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[978]) ).

thf(1131,plain,
    ! [SV38: $i,SV88: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[978]) ).

thf(1134,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[980]) ).

thf(1135,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[981]) ).

thf(1137,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[983]) ).

thf(1138,plain,
    ! [SV38: $i,SV98: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[984]) ).

thf(1140,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK45_SV138 @ SV38 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK45_SV138 @ SV38 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[986]) ).

thf(1141,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[988]) ).

thf(1144,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV114 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[992]) ).

thf(1146,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV172 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV172 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[995]) ).

thf(1147,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV173 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV173 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[997]) ).

thf(1150,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV115 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1001]) ).

thf(1151,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV115 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1002]) ).

thf(1153,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV131 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV131 @ SV35 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV131 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV131 @ SV35 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1007]) ).

thf(1155,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV175: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV175 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV175 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1008]) ).

thf(1156,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1008]) ).

thf(1159,plain,
    ! [SV35: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1011]) ).

thf(1161,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV177 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV177 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1014]) ).

thf(1162,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV178 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV178 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1016]) ).

thf(1165,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1020]) ).

thf(1166,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1021]) ).

thf(1168,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV132 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV132 @ SV35 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV132 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV132 @ SV35 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1026]) ).

thf(1170,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV180: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV180 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV180 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1027]) ).

thf(1171,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1027]) ).

thf(1174,plain,
    ! [SV35: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1030]) ).

thf(1176,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV182 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV182 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1033]) ).

thf(1177,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV183 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV183 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1035]) ).

thf(1180,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1039]) ).

thf(1181,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1040]) ).

thf(1183,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK40_SV133 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK40_SV133 @ SV36 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK40_SV133 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK40_SV133 @ SV36 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1045]) ).

thf(1185,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV185: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV185 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV185 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1046]) ).

thf(1186,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1046]) ).

thf(1189,plain,
    ! [SV36: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1049]) ).

thf(1191,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV187 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV187 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1052]) ).

thf(1192,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV188 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV188 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1054]) ).

thf(1195,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1058]) ).

thf(1196,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1059]) ).

thf(1198,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK41_SV134 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK41_SV134 @ SV36 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK41_SV134 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK41_SV134 @ SV36 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1064]) ).

thf(1200,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV190: $i] :
              ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV190 )
              = ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV190 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1065]) ).

thf(1201,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1065]) ).

thf(1204,plain,
    ! [SV36: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1068]) ).

thf(1206,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV192 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV192 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1071]) ).

thf(1207,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV193 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV193 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1073]) ).

thf(1210,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1077]) ).

thf(1211,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1078]) ).

thf(1213,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK42_SV135 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK42_SV135 @ SV37 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK42_SV135 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK42_SV135 @ SV37 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1083]) ).

thf(1215,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV195: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV195 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV195 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1084]) ).

thf(1216,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1084]) ).

thf(1219,plain,
    ! [SV37: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1087]) ).

thf(1221,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV197 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV197 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1090]) ).

thf(1222,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV198 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV198 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1092]) ).

thf(1225,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1096]) ).

thf(1226,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1097]) ).

thf(1228,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK43_SV136 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK43_SV136 @ SV37 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK43_SV136 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK43_SV136 @ SV37 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1102]) ).

thf(1230,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV200: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV200 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV200 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1103]) ).

thf(1231,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1103]) ).

thf(1234,plain,
    ! [SV37: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1106]) ).

thf(1236,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1109]) ).

thf(1237,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV203 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV203 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1111]) ).

thf(1240,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1115]) ).

thf(1241,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1116]) ).

thf(1243,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK44_SV137 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK44_SV137 @ SV38 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK44_SV137 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK44_SV137 @ SV38 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1121]) ).

thf(1245,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV205: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV205 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV205 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1122]) ).

thf(1246,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1122]) ).

thf(1249,plain,
    ! [SV38: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1125]) ).

thf(1251,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1128]) ).

thf(1252,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV208 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV208 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1130]) ).

thf(1255,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1134]) ).

thf(1256,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1135]) ).

thf(1258,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK45_SV138 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK45_SV138 @ SV38 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK45_SV138 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK45_SV138 @ SV38 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1140]) ).

thf(1260,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV210: $i] :
              ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV210 )
              = ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV210 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1141]) ).

thf(1261,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1141]) ).

thf(1264,plain,
    ! [SV38: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1144]) ).

thf(1267,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV172 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV172 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV172 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV172 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1146]) ).

thf(1268,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV172 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV172 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1146]) ).

thf(1269,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV173 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV173 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV173 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV173 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1147]) ).

thf(1270,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV173 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV173 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1147]) ).

thf(1274,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1150]) ).

thf(1275,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1151]) ).

thf(1277,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV131 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV131 @ SV35 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1153]) ).

thf(1278,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV131 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV131 @ SV35 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1153]) ).

thf(1279,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK46_SV175 @ SV35 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK46_SV175 @ SV35 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1155]) ).

thf(1283,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV177 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV177 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV177 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV177 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1161]) ).

thf(1284,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV177 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV177 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1161]) ).

thf(1285,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV178 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV178 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV178 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV178 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1162]) ).

thf(1286,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV178 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV178 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1162]) ).

thf(1290,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1165]) ).

thf(1291,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1166]) ).

thf(1293,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV132 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV132 @ SV35 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1168]) ).

thf(1294,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV132 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV132 @ SV35 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1168]) ).

thf(1295,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK47_SV180 @ SV35 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK47_SV180 @ SV35 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1170]) ).

thf(1299,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV182 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV182 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV182 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV182 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1176]) ).

thf(1300,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV182 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV182 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1176]) ).

thf(1301,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV183 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV183 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV183 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV183 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1177]) ).

thf(1302,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV183 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV183 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1177]) ).

thf(1306,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1180]) ).

thf(1307,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1181]) ).

thf(1309,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK40_SV133 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK40_SV133 @ SV36 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1183]) ).

thf(1310,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK40_SV133 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK40_SV133 @ SV36 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1183]) ).

thf(1311,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK48_SV185 @ SV36 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK48_SV185 @ SV36 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1185]) ).

thf(1315,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV187 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV187 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV187 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV187 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1191]) ).

thf(1316,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV187 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV187 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1191]) ).

thf(1317,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV188 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV188 ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV188 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV188 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1192]) ).

thf(1318,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV188 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV188 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1192]) ).

thf(1322,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1195]) ).

thf(1323,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1196]) ).

thf(1325,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK41_SV134 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK41_SV134 @ SV36 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1198]) ).

thf(1326,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK41_SV134 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK41_SV134 @ SV36 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1198]) ).

thf(1327,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK49_SV190 @ SV36 ) )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK49_SV190 @ SV36 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1200]) ).

thf(1331,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV192 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV192 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV192 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV192 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1206]) ).

thf(1332,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV192 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV192 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1206]) ).

thf(1333,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV193 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV193 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV193 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV193 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1207]) ).

thf(1334,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV193 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV193 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1207]) ).

thf(1338,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1210]) ).

thf(1339,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1211]) ).

thf(1341,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK42_SV135 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK42_SV135 @ SV37 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1213]) ).

thf(1342,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK42_SV135 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK42_SV135 @ SV37 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1213]) ).

thf(1343,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK50_SV195 @ SV37 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK50_SV195 @ SV37 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1215]) ).

thf(1347,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV197 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV197 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV197 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV197 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1221]) ).

thf(1348,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV197 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV197 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1221]) ).

thf(1349,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV198 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV198 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV198 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV198 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1222]) ).

thf(1350,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV198 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV198 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1222]) ).

thf(1354,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1225]) ).

thf(1355,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1226]) ).

thf(1357,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK43_SV136 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK43_SV136 @ SV37 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1228]) ).

thf(1358,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK43_SV136 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK43_SV136 @ SV37 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1228]) ).

thf(1359,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV200 @ SV37 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV200 @ SV37 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1230]) ).

thf(1363,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV202 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV202 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1236]) ).

thf(1364,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1236]) ).

thf(1365,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV203 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV203 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV203 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV203 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1237]) ).

thf(1366,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV203 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV203 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1237]) ).

thf(1370,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1240]) ).

thf(1371,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1241]) ).

thf(1373,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK44_SV137 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK44_SV137 @ SV38 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1243]) ).

thf(1374,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK44_SV137 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK44_SV137 @ SV38 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1243]) ).

thf(1375,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV205 @ SV38 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV205 @ SV38 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1245]) ).

thf(1379,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV207 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV207 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1251]) ).

thf(1380,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1251]) ).

thf(1381,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV208 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV208 ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV208 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV208 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1252]) ).

thf(1382,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV208 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV208 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1252]) ).

thf(1386,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1255]) ).

thf(1387,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1256]) ).

thf(1389,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK45_SV138 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK45_SV138 @ SV38 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1258]) ).

thf(1390,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK45_SV138 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK45_SV138 @ SV38 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1258]) ).

thf(1391,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV210 @ SV38 ) )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV210 @ SV38 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1260]) ).

thf(1394,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV172 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV172 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV172 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV172 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1267]) ).

thf(1395,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV173 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV173 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV173 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV173 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1269]) ).

thf(1397,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV131 @ SV35 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV131 @ SV35 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1277]) ).

thf(1398,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV131 @ SV35 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV131 @ SV35 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1278]) ).

thf(1399,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK46_SV175 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK46_SV175 @ SV35 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK46_SV175 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK46_SV175 @ SV35 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1279]) ).

thf(1403,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV177 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV177 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV177 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV177 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1283]) ).

thf(1404,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV178 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV178 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV178 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV178 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1285]) ).

thf(1406,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV132 @ SV35 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV132 @ SV35 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1293]) ).

thf(1407,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV132 @ SV35 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV132 @ SV35 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1294]) ).

thf(1408,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK47_SV180 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK47_SV180 @ SV35 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK47_SV180 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK47_SV180 @ SV35 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1295]) ).

thf(1412,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV182 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV182 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV182 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV182 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1299]) ).

thf(1413,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV183 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV183 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV183 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV183 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1301]) ).

thf(1415,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK40_SV133 @ SV36 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK40_SV133 @ SV36 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1309]) ).

thf(1416,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK40_SV133 @ SV36 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK40_SV133 @ SV36 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1310]) ).

thf(1417,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK48_SV185 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK48_SV185 @ SV36 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK48_SV185 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK48_SV185 @ SV36 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1311]) ).

thf(1421,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV187 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV187 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV187 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV187 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1315]) ).

thf(1422,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV188 )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV188 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV188 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV188 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1317]) ).

thf(1424,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK41_SV134 @ SV36 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK41_SV134 @ SV36 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1325]) ).

thf(1425,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK41_SV134 @ SV36 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK41_SV134 @ SV36 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1326]) ).

thf(1426,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK49_SV190 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK49_SV190 @ SV36 ) ) )
          | ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK49_SV190 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK49_SV190 @ SV36 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1327]) ).

thf(1430,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV192 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV192 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV192 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV192 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1331]) ).

thf(1431,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV193 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV193 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV193 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV193 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1333]) ).

thf(1433,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK42_SV135 @ SV37 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK42_SV135 @ SV37 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1341]) ).

thf(1434,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK42_SV135 @ SV37 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK42_SV135 @ SV37 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1342]) ).

thf(1435,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK50_SV195 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK50_SV195 @ SV37 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK50_SV195 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK50_SV195 @ SV37 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1343]) ).

thf(1439,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV197 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV197 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV197 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV197 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1347]) ).

thf(1440,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV198 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV198 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV198 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV198 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1349]) ).

thf(1442,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK43_SV136 @ SV37 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK43_SV136 @ SV37 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1357]) ).

thf(1443,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK43_SV136 @ SV37 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK43_SV136 @ SV37 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1358]) ).

thf(1444,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV200 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV200 @ SV37 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV200 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV200 @ SV37 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1359]) ).

thf(1448,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV202 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV202 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1363]) ).

thf(1449,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV203 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV203 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV203 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV203 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1365]) ).

thf(1451,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK44_SV137 @ SV38 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK44_SV137 @ SV38 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1373]) ).

thf(1452,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK44_SV137 @ SV38 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK44_SV137 @ SV38 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1374]) ).

thf(1453,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV205 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV205 @ SV38 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV205 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV205 @ SV38 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1375]) ).

thf(1457,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV207 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV207 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1379]) ).

thf(1458,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV208 )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV208 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV208 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV208 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1381]) ).

thf(1460,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK45_SV138 @ SV38 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK45_SV138 @ SV38 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1389]) ).

thf(1461,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK45_SV138 @ SV38 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK45_SV138 @ SV38 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1390]) ).

thf(1462,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV210 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV210 @ SV38 ) ) )
          | ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV210 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV210 @ SV38 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1391]) ).

thf(1466,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV172 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV172 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV172 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV172 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1394]) ).

thf(1467,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV173 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV173 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV173 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV173 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1395]) ).

thf(1469,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV131 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV131 @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1397]) ).

thf(1470,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV131 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV131 @ SV35 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1398]) ).

thf(1471,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK46_SV175 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK46_SV175 @ SV35 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1399]) ).

thf(1472,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK46_SV175 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK46_SV175 @ SV35 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1399]) ).

thf(1474,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV177 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV177 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV177 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV177 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1403]) ).

thf(1475,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV178 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV178 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV178 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV178 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1404]) ).

thf(1477,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV132 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV132 @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1406]) ).

thf(1478,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV132 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV132 @ SV35 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1407]) ).

thf(1479,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK47_SV180 @ SV35 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK47_SV180 @ SV35 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1408]) ).

thf(1480,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK47_SV180 @ SV35 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK47_SV180 @ SV35 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1408]) ).

thf(1482,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV182 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV182 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV182 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV182 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1412]) ).

thf(1483,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV183 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV183 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV183 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV183 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1413]) ).

thf(1485,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK40_SV133 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK40_SV133 @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1415]) ).

thf(1486,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK40_SV133 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK40_SV133 @ SV36 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1416]) ).

thf(1487,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK48_SV185 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK48_SV185 @ SV36 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1417]) ).

thf(1488,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK48_SV185 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK48_SV185 @ SV36 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1417]) ).

thf(1490,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV187 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV187 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV187 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV187 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1421]) ).

thf(1491,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV188 )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV188 ) )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV188 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV188 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1422]) ).

thf(1493,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK41_SV134 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK41_SV134 @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1424]) ).

thf(1494,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK41_SV134 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK41_SV134 @ SV36 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1425]) ).

thf(1495,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK49_SV190 @ SV36 ) )
              | ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK49_SV190 @ SV36 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1426]) ).

thf(1496,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK49_SV190 @ SV36 ) )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK49_SV190 @ SV36 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1426]) ).

thf(1498,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV192 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV192 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV192 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV192 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1430]) ).

thf(1499,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV193 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV193 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV193 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV193 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1431]) ).

thf(1501,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK42_SV135 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK42_SV135 @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1433]) ).

thf(1502,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK42_SV135 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK42_SV135 @ SV37 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1434]) ).

thf(1503,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK50_SV195 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK50_SV195 @ SV37 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1435]) ).

thf(1504,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK50_SV195 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK50_SV195 @ SV37 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1435]) ).

thf(1506,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV197 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV197 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV197 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV197 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1439]) ).

thf(1507,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV198 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV198 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV198 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV198 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1440]) ).

thf(1509,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK43_SV136 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK43_SV136 @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1442]) ).

thf(1510,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK43_SV136 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK43_SV136 @ SV37 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1443]) ).

thf(1511,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV200 @ SV37 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV200 @ SV37 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1444]) ).

thf(1512,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV200 @ SV37 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV200 @ SV37 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1444]) ).

thf(1514,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1448]) ).

thf(1515,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV203 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV203 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV203 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV203 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1449]) ).

thf(1517,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_SV137 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_SV137 @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1451]) ).

thf(1518,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK44_SV137 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK44_SV137 @ SV38 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1452]) ).

thf(1519,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV205 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV205 @ SV38 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1453]) ).

thf(1520,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV205 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV205 @ SV38 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1453]) ).

thf(1522,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1457]) ).

thf(1523,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV208 )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV208 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV208 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV208 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1458]) ).

thf(1525,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_SV138 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_SV138 @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1460]) ).

thf(1526,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK45_SV138 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK45_SV138 @ SV38 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1461]) ).

thf(1527,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV210 @ SV38 ) )
              | ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV210 @ SV38 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1462]) ).

thf(1528,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV210 @ SV38 ) )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV210 @ SV38 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1462]) ).

thf(1531,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV172 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV172 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1466]) ).

thf(1532,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV172 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV172 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1466]) ).

thf(1533,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV173 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV173 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1467]) ).

thf(1534,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV173 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV173 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1467]) ).

thf(1537,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV131 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV131 @ SV35 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1470]) ).

thf(1538,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK46_SV175 @ SV35 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK46_SV175 @ SV35 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1471]) ).

thf(1539,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK46_SV175 @ SV35 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK46_SV175 @ SV35 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1472]) ).

thf(1542,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV177 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV177 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1474]) ).

thf(1543,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV177 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV177 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1474]) ).

thf(1544,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV178 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV178 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1475]) ).

thf(1545,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV178 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV178 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1475]) ).

thf(1548,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV132 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV132 @ SV35 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1478]) ).

thf(1549,plain,
    ! [SV35: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK47_SV180 @ SV35 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK47_SV180 @ SV35 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1479]) ).

thf(1550,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK47_SV180 @ SV35 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK47_SV180 @ SV35 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1480]) ).

thf(1553,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV182 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV182 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1482]) ).

thf(1554,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV182 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV182 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1482]) ).

thf(1555,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV183 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV183 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1483]) ).

thf(1556,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV183 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV183 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1483]) ).

thf(1559,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK40_SV133 @ SV36 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK40_SV133 @ SV36 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1486]) ).

thf(1560,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK48_SV185 @ SV36 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK48_SV185 @ SV36 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1487]) ).

thf(1561,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK48_SV185 @ SV36 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK48_SV185 @ SV36 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1488]) ).

thf(1564,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV187 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV187 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1490]) ).

thf(1565,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV187 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV187 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1490]) ).

thf(1566,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV188 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV188 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1491]) ).

thf(1567,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $false )
      | ( ( ~ ( ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV188 )
              | ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV188 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1491]) ).

thf(1570,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK41_SV134 @ SV36 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK41_SV134 @ SV36 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1494]) ).

thf(1571,plain,
    ! [SV36: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK49_SV190 @ SV36 ) )
          | ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK49_SV190 @ SV36 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1495]) ).

thf(1572,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK49_SV190 @ SV36 ) )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK49_SV190 @ SV36 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1496]) ).

thf(1575,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV192 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV192 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1498]) ).

thf(1576,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV192 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV192 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1498]) ).

thf(1577,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV193 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV193 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1499]) ).

thf(1578,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV193 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV193 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1499]) ).

thf(1581,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK42_SV135 @ SV37 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK42_SV135 @ SV37 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1502]) ).

thf(1582,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK50_SV195 @ SV37 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK50_SV195 @ SV37 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1503]) ).

thf(1583,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK50_SV195 @ SV37 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK50_SV195 @ SV37 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1504]) ).

thf(1586,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV197 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV197 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1506]) ).

thf(1587,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV197 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV197 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1506]) ).

thf(1588,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV198 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV198 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1507]) ).

thf(1589,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV198 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV198 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1507]) ).

thf(1592,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK43_SV136 @ SV37 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK43_SV136 @ SV37 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1510]) ).

thf(1593,plain,
    ! [SV37: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV200 @ SV37 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV200 @ SV37 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1511]) ).

thf(1594,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV200 @ SV37 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV200 @ SV37 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1512]) ).

thf(1597,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1514]) ).

thf(1598,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1514]) ).

thf(1599,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV203 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV203 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1515]) ).

thf(1600,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV203 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV203 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1515]) ).

thf(1603,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_SV137 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK44_SV137 @ SV38 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1518]) ).

thf(1604,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV205 @ SV38 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV205 @ SV38 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1519]) ).

thf(1605,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV205 @ SV38 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV205 @ SV38 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1520]) ).

thf(1608,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1522]) ).

thf(1609,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1522]) ).

thf(1610,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV208 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV208 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1523]) ).

thf(1611,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY11
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV208 )
              | ~ ( sK5_X
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV208 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1523]) ).

thf(1614,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_SV138 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK45_SV138 @ SV38 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1526]) ).

thf(1615,plain,
    ! [SV38: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV210 @ SV38 ) )
          | ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV210 @ SV38 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1527]) ).

thf(1616,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV210 @ SV38 ) )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV210 @ SV38 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1528]) ).

thf(1619,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV172 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV172 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1531]) ).

thf(1620,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV172 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV172 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1532]) ).

thf(1621,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV173 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV173 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1533]) ).

thf(1622,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV173 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV173 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1534]) ).

thf(1625,plain,
    ! [SV35: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV131 @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV131 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1537]) ).

thf(1626,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK46_SV175 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK46_SV175 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1538]) ).

thf(1627,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK46_SV175 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK46_SV175 @ SV35 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1539]) ).

thf(1630,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV177 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV177 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1542]) ).

thf(1631,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV177 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV177 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1543]) ).

thf(1632,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV178 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV178 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1544]) ).

thf(1633,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV178 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV178 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1545]) ).

thf(1636,plain,
    ! [SV35: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV132 @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV132 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1548]) ).

thf(1637,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_SV180 @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_SV180 @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1549]) ).

thf(1638,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK47_SV180 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK47_SV180 @ SV35 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1550]) ).

thf(1641,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV182 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV182 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1553]) ).

thf(1642,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV182 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV182 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1554]) ).

thf(1643,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV183 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV183 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1555]) ).

thf(1644,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV183 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV183 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1556]) ).

thf(1647,plain,
    ! [SV36: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK40_SV133 @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK40_SV133 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1559]) ).

thf(1648,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_SV185 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_SV185 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1560]) ).

thf(1649,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK48_SV185 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK48_SV185 @ SV36 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1561]) ).

thf(1652,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV187 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV187 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1564]) ).

thf(1653,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV187 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV187 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1565]) ).

thf(1654,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV188 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV188 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1566]) ).

thf(1655,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV188 )
          | ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV188 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1567]) ).

thf(1658,plain,
    ! [SV36: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK41_SV134 @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK41_SV134 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1570]) ).

thf(1659,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_SV190 @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_SV190 @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1571]) ).

thf(1660,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK49_SV190 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK49_SV190 @ SV36 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1572]) ).

thf(1663,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV192 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV192 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1575]) ).

thf(1664,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV192 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV192 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1576]) ).

thf(1665,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV193 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV193 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1577]) ).

thf(1666,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV193 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV193 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1578]) ).

thf(1669,plain,
    ! [SV37: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK42_SV135 @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK42_SV135 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1581]) ).

thf(1670,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_SV195 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_SV195 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1582]) ).

thf(1671,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK50_SV195 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK50_SV195 @ SV37 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1583]) ).

thf(1674,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV197 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV197 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1586]) ).

thf(1675,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV197 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV197 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1587]) ).

thf(1676,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV198 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV198 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1588]) ).

thf(1677,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV198 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV198 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1589]) ).

thf(1680,plain,
    ! [SV37: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK43_SV136 @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK43_SV136 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1592]) ).

thf(1681,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV200 @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV200 @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1593]) ).

thf(1682,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV200 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV200 @ SV37 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1594]) ).

thf(1685,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1597]) ).

thf(1686,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1598]) ).

thf(1687,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV203 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV203 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1599]) ).

thf(1688,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV203 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV203 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1600]) ).

thf(1691,plain,
    ! [SV38: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_SV137 @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_SV137 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1603]) ).

thf(1692,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV205 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV205 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1604]) ).

thf(1693,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV205 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV205 @ SV38 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1605]) ).

thf(1696,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1608]) ).

thf(1697,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1609]) ).

thf(1698,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV208 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV208 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1610]) ).

thf(1699,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV208 )
          | ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV208 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1611]) ).

thf(1702,plain,
    ! [SV38: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_SV138 @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_SV138 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1614]) ).

thf(1703,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV210 @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV210 @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1615]) ).

thf(1704,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV210 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV210 @ SV38 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1616]) ).

thf(1710,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV172 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1619]) ).

thf(1711,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV172 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1620]) ).

thf(1714,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV173 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1621]) ).

thf(1715,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV173 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1622]) ).

thf(1721,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK46_SV175 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK46_SV175 @ SV35 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1627]) ).

thf(1727,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV177 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1630]) ).

thf(1728,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV177 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1631]) ).

thf(1731,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV178 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1632]) ).

thf(1732,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV178 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1633]) ).

thf(1738,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_SV180 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK47_SV180 @ SV35 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1638]) ).

thf(1744,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV182 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1641]) ).

thf(1745,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV182 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1642]) ).

thf(1748,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV183 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1643]) ).

thf(1749,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV183 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1644]) ).

thf(1755,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_SV185 @ SV36 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK48_SV185 @ SV36 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1649]) ).

thf(1761,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV187 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1652]) ).

thf(1762,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV187 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1653]) ).

thf(1765,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV188 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1654]) ).

thf(1766,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV188 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1655]) ).

thf(1772,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_SV190 @ SV36 ) )
        = $false )
      | ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK49_SV190 @ SV36 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1660]) ).

thf(1778,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV192 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1663]) ).

thf(1779,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV192 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1664]) ).

thf(1782,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV193 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1665]) ).

thf(1783,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV193 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1666]) ).

thf(1789,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_SV195 @ SV37 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK50_SV195 @ SV37 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1671]) ).

thf(1795,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV197 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1674]) ).

thf(1796,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV197 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1675]) ).

thf(1799,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV198 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1676]) ).

thf(1800,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV198 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1677]) ).

thf(1806,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV200 @ SV37 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV200 @ SV37 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1682]) ).

thf(1812,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1685]) ).

thf(1813,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1686]) ).

thf(1816,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV203 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1687]) ).

thf(1817,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV203 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1688]) ).

thf(1823,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV205 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV205 @ SV38 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1693]) ).

thf(1829,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1696]) ).

thf(1830,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1697]) ).

thf(1833,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV208 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1698]) ).

thf(1834,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( ~ ( sK6_SY11
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV208 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1699]) ).

thf(1840,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV210 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK5_X
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV210 @ SV38 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1704]) ).

thf(1846,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1710]) ).

thf(1847,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1711]) ).

thf(1850,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1714]) ).

thf(1851,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1715]) ).

thf(1857,plain,
    ! [SV35: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK46_SV175 @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK46_SV175 @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1721]) ).

thf(1863,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1727]) ).

thf(1864,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1728]) ).

thf(1867,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1731]) ).

thf(1868,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1732]) ).

thf(1874,plain,
    ! [SV35: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_SV180 @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_SV180 @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1738]) ).

thf(1880,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1744]) ).

thf(1881,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1745]) ).

thf(1884,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1748]) ).

thf(1885,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1749]) ).

thf(1891,plain,
    ! [SV36: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_SV185 @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_SV185 @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1755]) ).

thf(1897,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1761]) ).

thf(1898,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1762]) ).

thf(1901,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1765]) ).

thf(1902,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1766]) ).

thf(1908,plain,
    ! [SV36: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_SV190 @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_SV190 @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1772]) ).

thf(1914,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1778]) ).

thf(1915,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1779]) ).

thf(1918,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1782]) ).

thf(1919,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1783]) ).

thf(1925,plain,
    ! [SV37: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_SV195 @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_SV195 @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1789]) ).

thf(1931,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1795]) ).

thf(1932,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1796]) ).

thf(1935,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1799]) ).

thf(1936,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1800]) ).

thf(1942,plain,
    ! [SV37: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV200 @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV200 @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1806]) ).

thf(1948,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1812]) ).

thf(1949,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1813]) ).

thf(1952,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1816]) ).

thf(1953,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1817]) ).

thf(1959,plain,
    ! [SV38: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV205 @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV205 @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1823]) ).

thf(1965,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1829]) ).

thf(1966,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1830]) ).

thf(1969,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1833]) ).

thf(1970,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1834]) ).

thf(1976,plain,
    ! [SV38: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV210 @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV210 @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1840]) ).

thf(1978,plain,
    ! [SV35: $i,SV67: $i,SV212: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV212 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV212 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[996]) ).

thf(1979,plain,
    ! [SV35: $i,SV67: $i,SV213: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV213 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV213 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[998]) ).

thf(1981,plain,
    ! [SV35: $i,SV67: $i,SV215: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV67 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV215 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV215 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[453]) ).

thf(1983,plain,
    ! [SV35: $i,SV91: $i,SV217: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV217 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV217 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1004]) ).

thf(1984,plain,
    ! [SV35: $i,SV91: $i,SV218: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV218 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV218 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1005]) ).

thf(1986,plain,
    ! [SV35: $i,SV91: $i,SV220: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV220 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV220 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[455]) ).

thf(1987,plain,
    ! [SV35: $i,SV221: $i,SV222: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV221 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV221 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV222 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV222 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[355]) ).

thf(1989,plain,
    ! [SV35: $i,SV70: $i,SV224: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV224 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV224 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1015]) ).

thf(1990,plain,
    ! [SV35: $i,SV70: $i,SV225: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV225 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV225 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1017]) ).

thf(1992,plain,
    ! [SV35: $i,SV70: $i,SV227: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV227 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV227 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[462]) ).

thf(1994,plain,
    ! [SV35: $i,SV92: $i,SV229: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV229 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV229 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1023]) ).

thf(1995,plain,
    ! [SV35: $i,SV92: $i,SV230: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV230 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV230 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1024]) ).

thf(1997,plain,
    ! [SV35: $i,SV92: $i,SV232: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV232 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV232 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV92 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV92 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[464]) ).

thf(1998,plain,
    ! [SV35: $i,SV233: $i,SV234: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV233 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV233 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV234 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV234 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[360]) ).

thf(2000,plain,
    ! [SV36: $i,SV73: $i,SV236: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV236 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV236 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1034]) ).

thf(2001,plain,
    ! [SV36: $i,SV73: $i,SV237: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV237 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV237 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1036]) ).

thf(2003,plain,
    ! [SV36: $i,SV73: $i,SV239: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV239 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV239 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[471]) ).

thf(2005,plain,
    ! [SV36: $i,SV93: $i,SV241: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV241 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV241 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1042]) ).

thf(2006,plain,
    ! [SV36: $i,SV93: $i,SV242: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV242 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV242 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1043]) ).

thf(2008,plain,
    ! [SV36: $i,SV93: $i,SV244: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV244 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV244 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV93 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV93 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[473]) ).

thf(2009,plain,
    ! [SV36: $i,SV245: $i,SV246: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV245 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV245 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV246 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV246 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[365]) ).

thf(2011,plain,
    ! [SV36: $i,SV76: $i,SV248: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV248 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV248 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1053]) ).

thf(2012,plain,
    ! [SV36: $i,SV76: $i,SV249: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV249 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV249 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1055]) ).

thf(2014,plain,
    ! [SV36: $i,SV76: $i,SV251: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV251 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV251 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[480]) ).

thf(2016,plain,
    ! [SV36: $i,SV94: $i,SV253: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV253 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV253 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1061]) ).

thf(2017,plain,
    ! [SV36: $i,SV94: $i,SV254: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV254 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV254 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1062]) ).

thf(2019,plain,
    ! [SV36: $i,SV94: $i,SV256: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV256 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV256 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[482]) ).

thf(2020,plain,
    ! [SV36: $i,SV257: $i,SV258: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV257 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV257 ) )
        = $true )
      | ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV258 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV258 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[370]) ).

thf(2022,plain,
    ! [SV37: $i,SV79: $i,SV260: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV260 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV260 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1072]) ).

thf(2023,plain,
    ! [SV37: $i,SV79: $i,SV261: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV261 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV261 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1074]) ).

thf(2025,plain,
    ! [SV37: $i,SV79: $i,SV263: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV263 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV263 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[489]) ).

thf(2027,plain,
    ! [SV37: $i,SV95: $i,SV265: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV265 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV265 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1080]) ).

thf(2028,plain,
    ! [SV37: $i,SV95: $i,SV266: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV266 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV266 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1081]) ).

thf(2030,plain,
    ! [SV37: $i,SV95: $i,SV268: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV268 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV268 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[491]) ).

thf(2031,plain,
    ! [SV37: $i,SV269: $i,SV270: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV269 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV269 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV270 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV270 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[375]) ).

thf(2033,plain,
    ! [SV37: $i,SV82: $i,SV272: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV272 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV272 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1091]) ).

thf(2034,plain,
    ! [SV37: $i,SV82: $i,SV273: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV273 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV273 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1093]) ).

thf(2036,plain,
    ! [SV37: $i,SV82: $i,SV275: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV275 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV275 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[498]) ).

thf(2038,plain,
    ! [SV37: $i,SV96: $i,SV277: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV277 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV277 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1099]) ).

thf(2039,plain,
    ! [SV37: $i,SV96: $i,SV278: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV278 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV278 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1100]) ).

thf(2041,plain,
    ! [SV37: $i,SV96: $i,SV280: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV280 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV280 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[500]) ).

thf(2042,plain,
    ! [SV37: $i,SV281: $i,SV282: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV281 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV281 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV282 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV282 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[380]) ).

thf(2044,plain,
    ! [SV38: $i,SV85: $i,SV284: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV284 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV284 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1110]) ).

thf(2045,plain,
    ! [SV38: $i,SV85: $i,SV285: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV285 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV285 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1112]) ).

thf(2047,plain,
    ! [SV38: $i,SV85: $i,SV287: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV287 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV287 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[507]) ).

thf(2049,plain,
    ! [SV38: $i,SV97: $i,SV289: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV289 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV289 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1118]) ).

thf(2050,plain,
    ! [SV38: $i,SV97: $i,SV290: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV290 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV290 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1119]) ).

thf(2052,plain,
    ! [SV38: $i,SV97: $i,SV292: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV292 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV292 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[509]) ).

thf(2053,plain,
    ! [SV38: $i,SV293: $i,SV294: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV293 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV293 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV294 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV294 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[385]) ).

thf(2055,plain,
    ! [SV38: $i,SV88: $i,SV296: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV296 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV296 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1129]) ).

thf(2056,plain,
    ! [SV38: $i,SV88: $i,SV297: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV297 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV297 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1131]) ).

thf(2058,plain,
    ! [SV38: $i,SV88: $i,SV299: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV299 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV299 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[516]) ).

thf(2060,plain,
    ! [SV38: $i,SV98: $i,SV301: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV301 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV301 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1137]) ).

thf(2061,plain,
    ! [SV38: $i,SV98: $i,SV302: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV302 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV302 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1138]) ).

thf(2063,plain,
    ! [SV38: $i,SV98: $i,SV304: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV304 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV304 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[518]) ).

thf(2064,plain,
    ! [SV38: $i,SV305: $i,SV306: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV305 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV305 ) )
        = $true )
      | ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV306 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV306 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[390]) ).

thf(2069,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1268]) ).

thf(2070,plain,
    ! [SV35: $i,SV67: $i,SV172: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV172 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1268]) ).

thf(2071,plain,
    ! [SV35: $i,SV67: $i,SV212: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1978]) ).

thf(2072,plain,
    ! [SV35: $i,SV67: $i,SV212: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1978]) ).

thf(2073,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1270]) ).

thf(2074,plain,
    ! [SV35: $i,SV67: $i,SV173: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV173 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1270]) ).

thf(2075,plain,
    ! [SV35: $i,SV67: $i,SV213: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV213 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV213 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1979]) ).

thf(2076,plain,
    ! [SV35: $i,SV67: $i,SV213: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV213 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV213 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1979]) ).

thf(2083,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1274]) ).

thf(2084,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1274]) ).

thf(2085,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1275]) ).

thf(2086,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1275]) ).

thf(2089,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[588]) ).

thf(2090,plain,
    ! [SV35: $i,SV67: $i,SV115: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV115 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[588]) ).

thf(2091,plain,
    ! [SV35: $i,SV67: $i,SV215: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV215 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV215 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1981]) ).

thf(2092,plain,
    ! [SV35: $i,SV67: $i,SV215: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV215 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV215 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV67 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1981]) ).

thf(2095,plain,
    ! [SV35: $i,SV91: $i,SV217: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1983]) ).

thf(2096,plain,
    ! [SV35: $i,SV91: $i,SV217: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1983]) ).

thf(2097,plain,
    ! [SV35: $i,SV91: $i,SV218: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV218 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV218 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1984]) ).

thf(2098,plain,
    ! [SV35: $i,SV91: $i,SV218: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV218 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV218 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1984]) ).

thf(2101,plain,
    ! [SV35: $i,SV91: $i,SV220: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV220 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV220 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1986]) ).

thf(2102,plain,
    ! [SV35: $i,SV91: $i,SV220: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV220 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV220 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1986]) ).

thf(2103,plain,
    ! [SV35: $i,SV221: $i,SV222: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1987]) ).

thf(2104,plain,
    ! [SV35: $i,SV221: $i,SV222: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1987]) ).

thf(2109,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1284]) ).

thf(2110,plain,
    ! [SV35: $i,SV70: $i,SV177: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV177 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1284]) ).

thf(2111,plain,
    ! [SV35: $i,SV70: $i,SV224: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV224 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV224 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1989]) ).

thf(2112,plain,
    ! [SV35: $i,SV70: $i,SV224: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV224 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV224 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1989]) ).

thf(2113,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1286]) ).

thf(2114,plain,
    ! [SV35: $i,SV70: $i,SV178: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV178 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1286]) ).

thf(2115,plain,
    ! [SV35: $i,SV70: $i,SV225: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV225 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV225 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1990]) ).

thf(2116,plain,
    ! [SV35: $i,SV70: $i,SV225: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV225 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV225 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1990]) ).

thf(2123,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1290]) ).

thf(2124,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1290]) ).

thf(2125,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1291]) ).

thf(2126,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1291]) ).

thf(2129,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[599]) ).

thf(2130,plain,
    ! [SV35: $i,SV70: $i,SV116: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[599]) ).

thf(2131,plain,
    ! [SV35: $i,SV70: $i,SV227: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1992]) ).

thf(2132,plain,
    ! [SV35: $i,SV70: $i,SV227: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1992]) ).

thf(2135,plain,
    ! [SV35: $i,SV92: $i,SV229: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV229 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV229 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1994]) ).

thf(2136,plain,
    ! [SV35: $i,SV92: $i,SV229: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV229 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV229 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1994]) ).

thf(2137,plain,
    ! [SV35: $i,SV92: $i,SV230: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV230 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV230 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1995]) ).

thf(2138,plain,
    ! [SV35: $i,SV92: $i,SV230: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV230 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV230 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1995]) ).

thf(2141,plain,
    ! [SV35: $i,SV92: $i,SV232: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1997]) ).

thf(2142,plain,
    ! [SV35: $i,SV92: $i,SV232: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV92 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1997]) ).

thf(2143,plain,
    ! [SV35: $i,SV233: $i,SV234: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV234 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV234 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV233 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV233 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1998]) ).

thf(2144,plain,
    ! [SV35: $i,SV233: $i,SV234: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV234 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV234 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV233 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV233 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1998]) ).

thf(2149,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1300]) ).

thf(2150,plain,
    ! [SV36: $i,SV73: $i,SV182: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV182 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1300]) ).

thf(2151,plain,
    ! [SV36: $i,SV73: $i,SV236: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2000]) ).

thf(2152,plain,
    ! [SV36: $i,SV73: $i,SV236: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2000]) ).

thf(2153,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1302]) ).

thf(2154,plain,
    ! [SV36: $i,SV73: $i,SV183: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV183 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1302]) ).

thf(2155,plain,
    ! [SV36: $i,SV73: $i,SV237: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2001]) ).

thf(2156,plain,
    ! [SV36: $i,SV73: $i,SV237: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2001]) ).

thf(2163,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1306]) ).

thf(2164,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1306]) ).

thf(2165,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1307]) ).

thf(2166,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1307]) ).

thf(2169,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[610]) ).

thf(2170,plain,
    ! [SV36: $i,SV73: $i,SV117: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[610]) ).

thf(2171,plain,
    ! [SV36: $i,SV73: $i,SV239: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV239 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV239 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2003]) ).

thf(2172,plain,
    ! [SV36: $i,SV73: $i,SV239: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV239 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV239 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2003]) ).

thf(2175,plain,
    ! [SV36: $i,SV93: $i,SV241: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV241 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV241 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2005]) ).

thf(2176,plain,
    ! [SV36: $i,SV93: $i,SV241: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV241 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV241 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2005]) ).

thf(2177,plain,
    ! [SV36: $i,SV93: $i,SV242: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV242 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV242 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2006]) ).

thf(2178,plain,
    ! [SV36: $i,SV93: $i,SV242: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV242 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV242 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2006]) ).

thf(2181,plain,
    ! [SV36: $i,SV93: $i,SV244: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV244 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV244 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2008]) ).

thf(2182,plain,
    ! [SV36: $i,SV93: $i,SV244: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV93 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV244 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV244 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2008]) ).

thf(2183,plain,
    ! [SV36: $i,SV245: $i,SV246: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV246 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV246 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV245 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV245 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2009]) ).

thf(2184,plain,
    ! [SV36: $i,SV245: $i,SV246: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV246 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV246 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV245 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV245 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2009]) ).

thf(2189,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1316]) ).

thf(2190,plain,
    ! [SV36: $i,SV76: $i,SV187: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV187 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1316]) ).

thf(2191,plain,
    ! [SV36: $i,SV76: $i,SV248: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV248 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV248 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2011]) ).

thf(2192,plain,
    ! [SV36: $i,SV76: $i,SV248: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV248 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV248 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2011]) ).

thf(2193,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1318]) ).

thf(2194,plain,
    ! [SV36: $i,SV76: $i,SV188: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV188 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1318]) ).

thf(2195,plain,
    ! [SV36: $i,SV76: $i,SV249: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV249 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV249 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2012]) ).

thf(2196,plain,
    ! [SV36: $i,SV76: $i,SV249: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV249 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV249 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2012]) ).

thf(2203,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1322]) ).

thf(2204,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1322]) ).

thf(2205,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1323]) ).

thf(2206,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1323]) ).

thf(2209,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[621]) ).

thf(2210,plain,
    ! [SV36: $i,SV76: $i,SV118: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[621]) ).

thf(2211,plain,
    ! [SV36: $i,SV76: $i,SV251: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV251 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV251 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2014]) ).

thf(2212,plain,
    ! [SV36: $i,SV76: $i,SV251: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV251 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV251 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2014]) ).

thf(2215,plain,
    ! [SV36: $i,SV94: $i,SV253: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2016]) ).

thf(2216,plain,
    ! [SV36: $i,SV94: $i,SV253: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2016]) ).

thf(2217,plain,
    ! [SV36: $i,SV94: $i,SV254: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV254 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV254 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2017]) ).

thf(2218,plain,
    ! [SV36: $i,SV94: $i,SV254: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV254 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV254 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2017]) ).

thf(2221,plain,
    ! [SV36: $i,SV94: $i,SV256: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV256 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV256 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2019]) ).

thf(2222,plain,
    ! [SV36: $i,SV94: $i,SV256: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV256 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV256 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2019]) ).

thf(2223,plain,
    ! [SV36: $i,SV257: $i,SV258: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV258 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV258 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV257 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV257 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2020]) ).

thf(2224,plain,
    ! [SV36: $i,SV257: $i,SV258: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV258 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV258 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV257 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV257 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2020]) ).

thf(2229,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1332]) ).

thf(2230,plain,
    ! [SV37: $i,SV79: $i,SV192: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV192 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1332]) ).

thf(2231,plain,
    ! [SV37: $i,SV79: $i,SV260: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV260 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV260 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2022]) ).

thf(2232,plain,
    ! [SV37: $i,SV79: $i,SV260: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV260 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV260 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2022]) ).

thf(2233,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1334]) ).

thf(2234,plain,
    ! [SV37: $i,SV79: $i,SV193: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV193 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1334]) ).

thf(2235,plain,
    ! [SV37: $i,SV79: $i,SV261: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV261 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV261 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2023]) ).

thf(2236,plain,
    ! [SV37: $i,SV79: $i,SV261: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV261 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV261 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2023]) ).

thf(2243,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1338]) ).

thf(2244,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1338]) ).

thf(2245,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1339]) ).

thf(2246,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1339]) ).

thf(2249,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[632]) ).

thf(2250,plain,
    ! [SV37: $i,SV79: $i,SV119: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[632]) ).

thf(2251,plain,
    ! [SV37: $i,SV79: $i,SV263: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2025]) ).

thf(2252,plain,
    ! [SV37: $i,SV79: $i,SV263: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2025]) ).

thf(2255,plain,
    ! [SV37: $i,SV95: $i,SV265: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV265 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV265 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2027]) ).

thf(2256,plain,
    ! [SV37: $i,SV95: $i,SV265: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV265 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV265 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2027]) ).

thf(2257,plain,
    ! [SV37: $i,SV95: $i,SV266: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV266 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV266 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2028]) ).

thf(2258,plain,
    ! [SV37: $i,SV95: $i,SV266: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV266 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV266 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2028]) ).

thf(2261,plain,
    ! [SV37: $i,SV95: $i,SV268: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2030]) ).

thf(2262,plain,
    ! [SV37: $i,SV95: $i,SV268: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2030]) ).

thf(2263,plain,
    ! [SV37: $i,SV269: $i,SV270: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV270 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV270 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV269 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV269 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2031]) ).

thf(2264,plain,
    ! [SV37: $i,SV269: $i,SV270: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV270 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV270 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV269 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV269 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2031]) ).

thf(2269,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1348]) ).

thf(2270,plain,
    ! [SV37: $i,SV82: $i,SV197: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV197 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1348]) ).

thf(2271,plain,
    ! [SV37: $i,SV82: $i,SV272: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2033]) ).

thf(2272,plain,
    ! [SV37: $i,SV82: $i,SV272: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2033]) ).

thf(2273,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1350]) ).

thf(2274,plain,
    ! [SV37: $i,SV82: $i,SV198: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV198 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1350]) ).

thf(2275,plain,
    ! [SV37: $i,SV82: $i,SV273: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2034]) ).

thf(2276,plain,
    ! [SV37: $i,SV82: $i,SV273: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2034]) ).

thf(2283,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1354]) ).

thf(2284,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1354]) ).

thf(2285,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1355]) ).

thf(2286,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1355]) ).

thf(2289,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[643]) ).

thf(2290,plain,
    ! [SV37: $i,SV82: $i,SV120: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[643]) ).

thf(2291,plain,
    ! [SV37: $i,SV82: $i,SV275: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2036]) ).

thf(2292,plain,
    ! [SV37: $i,SV82: $i,SV275: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2036]) ).

thf(2295,plain,
    ! [SV37: $i,SV96: $i,SV277: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV277 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV277 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2038]) ).

thf(2296,plain,
    ! [SV37: $i,SV96: $i,SV277: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV277 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV277 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2038]) ).

thf(2297,plain,
    ! [SV37: $i,SV96: $i,SV278: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV278 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV278 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2039]) ).

thf(2298,plain,
    ! [SV37: $i,SV96: $i,SV278: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV278 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV278 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2039]) ).

thf(2301,plain,
    ! [SV37: $i,SV96: $i,SV280: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV280 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV280 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2041]) ).

thf(2302,plain,
    ! [SV37: $i,SV96: $i,SV280: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV280 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV280 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2041]) ).

thf(2303,plain,
    ! [SV37: $i,SV281: $i,SV282: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV281 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV281 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2042]) ).

thf(2304,plain,
    ! [SV37: $i,SV281: $i,SV282: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV281 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV281 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2042]) ).

thf(2309,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1364]) ).

thf(2310,plain,
    ! [SV38: $i,SV85: $i,SV202: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1364]) ).

thf(2311,plain,
    ! [SV38: $i,SV85: $i,SV284: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV284 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV284 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2044]) ).

thf(2312,plain,
    ! [SV38: $i,SV85: $i,SV284: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV284 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV284 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2044]) ).

thf(2313,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1366]) ).

thf(2314,plain,
    ! [SV38: $i,SV85: $i,SV203: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV203 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1366]) ).

thf(2315,plain,
    ! [SV38: $i,SV85: $i,SV285: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2045]) ).

thf(2316,plain,
    ! [SV38: $i,SV85: $i,SV285: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2045]) ).

thf(2323,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1370]) ).

thf(2324,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1370]) ).

thf(2325,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1371]) ).

thf(2326,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1371]) ).

thf(2329,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[654]) ).

thf(2330,plain,
    ! [SV38: $i,SV85: $i,SV121: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[654]) ).

thf(2331,plain,
    ! [SV38: $i,SV85: $i,SV287: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2047]) ).

thf(2332,plain,
    ! [SV38: $i,SV85: $i,SV287: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2047]) ).

thf(2335,plain,
    ! [SV38: $i,SV97: $i,SV289: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV289 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV289 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2049]) ).

thf(2336,plain,
    ! [SV38: $i,SV97: $i,SV289: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV289 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV289 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2049]) ).

thf(2337,plain,
    ! [SV38: $i,SV97: $i,SV290: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2050]) ).

thf(2338,plain,
    ! [SV38: $i,SV97: $i,SV290: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2050]) ).

thf(2341,plain,
    ! [SV38: $i,SV97: $i,SV292: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2052]) ).

thf(2342,plain,
    ! [SV38: $i,SV97: $i,SV292: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2052]) ).

thf(2343,plain,
    ! [SV38: $i,SV293: $i,SV294: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV294 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV294 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2053]) ).

thf(2344,plain,
    ! [SV38: $i,SV293: $i,SV294: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV294 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV294 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2053]) ).

thf(2349,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1380]) ).

thf(2350,plain,
    ! [SV38: $i,SV88: $i,SV207: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1380]) ).

thf(2351,plain,
    ! [SV38: $i,SV88: $i,SV296: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2055]) ).

thf(2352,plain,
    ! [SV38: $i,SV88: $i,SV296: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2055]) ).

thf(2353,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1382]) ).

thf(2354,plain,
    ! [SV38: $i,SV88: $i,SV208: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV208 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1382]) ).

thf(2355,plain,
    ! [SV38: $i,SV88: $i,SV297: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2056]) ).

thf(2356,plain,
    ! [SV38: $i,SV88: $i,SV297: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2056]) ).

thf(2363,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1386]) ).

thf(2364,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1386]) ).

thf(2365,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1387]) ).

thf(2366,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1387]) ).

thf(2369,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[665]) ).

thf(2370,plain,
    ! [SV38: $i,SV88: $i,SV122: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[665]) ).

thf(2371,plain,
    ! [SV38: $i,SV88: $i,SV299: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2058]) ).

thf(2372,plain,
    ! [SV38: $i,SV88: $i,SV299: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2058]) ).

thf(2375,plain,
    ! [SV38: $i,SV98: $i,SV301: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV301 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV301 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2060]) ).

thf(2376,plain,
    ! [SV38: $i,SV98: $i,SV301: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV301 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV301 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2060]) ).

thf(2377,plain,
    ! [SV38: $i,SV98: $i,SV302: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2061]) ).

thf(2378,plain,
    ! [SV38: $i,SV98: $i,SV302: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2061]) ).

thf(2381,plain,
    ! [SV38: $i,SV98: $i,SV304: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2063]) ).

thf(2382,plain,
    ! [SV38: $i,SV98: $i,SV304: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2063]) ).

thf(2383,plain,
    ! [SV38: $i,SV305: $i,SV306: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV306 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV306 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2064]) ).

thf(2384,plain,
    ! [SV38: $i,SV305: $i,SV306: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV306 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV306 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2064]) ).

thf(2385,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[868]) ).

thf(2386,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[868]) ).

thf(2387,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1156]) ).

thf(2388,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV69 @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1156]) ).

thf(2389,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[872]) ).

thf(2390,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[872]) ).

thf(2391,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1159]) ).

thf(2392,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV100 @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1159]) ).

thf(2393,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK60_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK60_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[459]) ).

thf(2394,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK60_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK60_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[459]) ).

thf(2395,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[459]) ).

thf(2396,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[459]) ).

thf(2397,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[212]) ).

thf(2398,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[212]) ).

thf(2399,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[212]) ).

thf(2400,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[212]) ).

thf(2401,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[212]) ).

thf(2402,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[212]) ).

thf(2403,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[212]) ).

thf(2404,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[212]) ).

thf(2405,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[885]) ).

thf(2406,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[885]) ).

thf(2407,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1171]) ).

thf(2408,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV72 @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1171]) ).

thf(2409,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[889]) ).

thf(2410,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[889]) ).

thf(2411,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1174]) ).

thf(2412,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV102 @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1174]) ).

thf(2413,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK74_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK74_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[468]) ).

thf(2414,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK74_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK74_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[468]) ).

thf(2415,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[468]) ).

thf(2416,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[468]) ).

thf(2417,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[214]) ).

thf(2418,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[214]) ).

thf(2419,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV35 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[214]) ).

thf(2420,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV35 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[214]) ).

thf(2421,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[214]) ).

thf(2422,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV35 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[214]) ).

thf(2423,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV35 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV35 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[214]) ).

thf(2424,plain,
    ! [SV35: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV35 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV35 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV35 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[214]) ).

thf(2425,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[902]) ).

thf(2426,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[902]) ).

thf(2427,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1186]) ).

thf(2428,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV75 @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1186]) ).

thf(2429,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[906]) ).

thf(2430,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[906]) ).

thf(2431,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1189]) ).

thf(2432,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV104 @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1189]) ).

thf(2433,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK88_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK88_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[477]) ).

thf(2434,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK88_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK88_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[477]) ).

thf(2435,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[477]) ).

thf(2436,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[477]) ).

thf(2437,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[216]) ).

thf(2438,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[216]) ).

thf(2439,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[216]) ).

thf(2440,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[216]) ).

thf(2441,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[216]) ).

thf(2442,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[216]) ).

thf(2443,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[216]) ).

thf(2444,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[216]) ).

thf(2445,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[919]) ).

thf(2446,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[919]) ).

thf(2447,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1201]) ).

thf(2448,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV78 @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1201]) ).

thf(2449,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[923]) ).

thf(2450,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[923]) ).

thf(2451,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1204]) ).

thf(2452,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV106 @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1204]) ).

thf(2453,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[486]) ).

thf(2454,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[486]) ).

thf(2455,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[486]) ).

thf(2456,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[486]) ).

thf(2457,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK104_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK104_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[218]) ).

thf(2458,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK104_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK104_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[218]) ).

thf(2459,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV36 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK104_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK104_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[218]) ).

thf(2460,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV36 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK104_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK104_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[218]) ).

thf(2461,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[218]) ).

thf(2462,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV36 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[218]) ).

thf(2463,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK109_E @ SV36 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK109_E @ SV36 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[218]) ).

thf(2464,plain,
    ! [SV36: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK109_E @ SV36 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK109_E @ SV36 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV36 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[218]) ).

thf(2465,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[936]) ).

thf(2466,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[936]) ).

thf(2467,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK111_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK111_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1216]) ).

thf(2468,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV81 @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK111_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK111_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1216]) ).

thf(2469,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[940]) ).

thf(2470,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[940]) ).

thf(2471,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK114_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK114_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1219]) ).

thf(2472,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK114_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK114_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV108 @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1219]) ).

thf(2473,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK116_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK116_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[495]) ).

thf(2474,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK116_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK116_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[495]) ).

thf(2475,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK117_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK117_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[495]) ).

thf(2476,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK117_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK117_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[495]) ).

thf(2477,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK118_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK118_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[220]) ).

thf(2478,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK118_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK118_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[220]) ).

thf(2479,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK118_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK118_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[220]) ).

thf(2480,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK118_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK118_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[220]) ).

thf(2481,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[220]) ).

thf(2482,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[220]) ).

thf(2483,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK123_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK123_E @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[220]) ).

thf(2484,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK123_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK123_E @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[220]) ).

thf(2485,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[953]) ).

thf(2486,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[953]) ).

thf(2487,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1231]) ).

thf(2488,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK19_SV84 @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1231]) ).

thf(2489,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[957]) ).

thf(2490,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[957]) ).

thf(2491,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1234]) ).

thf(2492,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV110 @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1234]) ).

thf(2493,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK130_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK130_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[504]) ).

thf(2494,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK130_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK130_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[504]) ).

thf(2495,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK131_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK131_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[504]) ).

thf(2496,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK131_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK131_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[504]) ).

thf(2497,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK133_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK133_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK132_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK132_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[222]) ).

thf(2498,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK133_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK133_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK132_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK132_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[222]) ).

thf(2499,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK134_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK134_E @ SV37 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK132_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK132_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[222]) ).

thf(2500,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK134_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK134_E @ SV37 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK132_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK132_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[222]) ).

thf(2501,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK136_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK136_E @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[222]) ).

thf(2502,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK136_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK136_E @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV37 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[222]) ).

thf(2503,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK137_E @ SV37 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK137_E @ SV37 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[222]) ).

thf(2504,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK137_E @ SV37 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK137_E @ SV37 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV37 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[222]) ).

thf(2505,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[970]) ).

thf(2506,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[970]) ).

thf(2507,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK139_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK139_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1246]) ).

thf(2508,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV87 @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK139_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK139_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1246]) ).

thf(2509,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[974]) ).

thf(2510,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[974]) ).

thf(2511,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK142_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK142_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1249]) ).

thf(2512,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK142_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK142_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV112 @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1249]) ).

thf(2513,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[513]) ).

thf(2514,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[513]) ).

thf(2515,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[513]) ).

thf(2516,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[513]) ).

thf(2517,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[224]) ).

thf(2518,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[224]) ).

thf(2519,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[224]) ).

thf(2520,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[224]) ).

thf(2521,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[224]) ).

thf(2522,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[224]) ).

thf(2523,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[224]) ).

thf(2524,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[224]) ).

thf(2525,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[987]) ).

thf(2526,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[987]) ).

thf(2527,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1261]) ).

thf(2528,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV90 @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1261]) ).

thf(2529,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[991]) ).

thf(2530,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[991]) ).

thf(2531,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK156_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK156_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1264]) ).

thf(2532,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK156_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK156_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV114 @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1264]) ).

thf(2533,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[522]) ).

thf(2534,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[522]) ).

thf(2535,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[522]) ).

thf(2536,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[522]) ).

thf(2537,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[226]) ).

thf(2538,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[226]) ).

thf(2539,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[226]) ).

thf(2540,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[226]) ).

thf(2541,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[226]) ).

thf(2542,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV38 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[226]) ).

thf(2543,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV38 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[226]) ).

thf(2544,plain,
    ! [SV38: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV38 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV38 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[226]) ).

thf(2545,plain,
    ! [SV39: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[228]) ).

thf(2546,plain,
    ! [SV39: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[228]) ).

thf(2547,plain,
    ! [SV39: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[230]) ).

thf(2548,plain,
    ! [SV39: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[230]) ).

thf(2549,plain,
    ! [SV40: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[232]) ).

thf(2550,plain,
    ! [SV40: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[232]) ).

thf(2551,plain,
    ! [SV40: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[234]) ).

thf(2552,plain,
    ! [SV40: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[234]) ).

thf(2553,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK170_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK170_E )
      = $true ) ),
    inference(extuni,[status(esa)],[236]) ).

thf(2554,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK170_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK170_E )
      = $false ) ),
    inference(extuni,[status(esa)],[236]) ).

thf(2555,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK171_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK171_E )
      = $true ) ),
    inference(extuni,[status(esa)],[238]) ).

thf(2556,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK171_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK171_E )
      = $false ) ),
    inference(extuni,[status(esa)],[238]) ).

thf(2557,plain,
    ! [SV307: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV307 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV307 ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[109]) ).

thf(2558,plain,
    ! [SV308: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV308 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV308 ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[114]) ).

thf(2559,plain,
    ! [SV309: $i,SV310: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV309 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV309 ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV310 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV310 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[124]) ).

thf(2560,plain,
    ! [SV311: $i,SV312: $i] :
      ( ( ( ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV311 )
          = ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV311 ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV312 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV312 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[129]) ).

thf(2561,plain,
    ! [SV313: $i,SV314: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV313 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV313 ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV314 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV314 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[134]) ).

thf(2562,plain,
    ! [SV315: $i,SV316: $i] :
      ( ( ( ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV315 )
          = ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV315 ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV316 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV316 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[139]) ).

thf(2563,plain,
    ! [SV317: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV317 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV317 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[149]) ).

thf(2564,plain,
    ! [SV318: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV318 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV318 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[154]) ).

thf(2565,plain,
    ! [SV319: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV319 )
          = ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV319 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[159]) ).

thf(2566,plain,
    ! [SV320: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV320 )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV320 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[164]) ).

thf(2567,plain,
    ! [SV307: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2557]) ).

thf(2568,plain,
    ! [SV307: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2557]) ).

thf(2569,plain,
    ! [SV308: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2558]) ).

thf(2570,plain,
    ! [SV308: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2558]) ).

thf(2571,plain,
    ! [SV309: $i,SV310: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2559]) ).

thf(2572,plain,
    ! [SV309: $i,SV310: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2559]) ).

thf(2573,plain,
    ! [SV311: $i,SV312: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2560]) ).

thf(2574,plain,
    ! [SV311: $i,SV312: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2560]) ).

thf(2575,plain,
    ! [SV313: $i,SV314: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2561]) ).

thf(2576,plain,
    ! [SV313: $i,SV314: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2561]) ).

thf(2577,plain,
    ! [SV315: $i,SV316: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2562]) ).

thf(2578,plain,
    ! [SV315: $i,SV316: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2562]) ).

thf(2579,plain,
    ! [SV317: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2563]) ).

thf(2580,plain,
    ! [SV317: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2563]) ).

thf(2581,plain,
    ! [SV318: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2564]) ).

thf(2582,plain,
    ! [SV318: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2564]) ).

thf(2583,plain,
    ! [SV319: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2565]) ).

thf(2584,plain,
    ! [SV319: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2565]) ).

thf(2585,plain,
    ! [SV320: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2566]) ).

thf(2586,plain,
    ! [SV320: $i] :
      ( ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2566]) ).

thf(2587,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[107]) ).

thf(2589,plain,
    ! [SV307: $i] :
      ( ( ( ! [SV321: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV321 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV321 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2568]) ).

thf(2590,plain,
    ! [SV307: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2568]) ).

thf(2591,plain,
    ! [SV307: $i] :
      ( ( ( ! [SV322: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV322 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV322 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2567]) ).

thf(2592,plain,
    ! [SV307: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2567]) ).

thf(2593,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[112]) ).

thf(2595,plain,
    ! [SV308: $i] :
      ( ( ( ! [SV323: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV323 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV323 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2570]) ).

thf(2596,plain,
    ! [SV308: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2570]) ).

thf(2597,plain,
    ! [SV308: $i] :
      ( ( ( ! [SV324: $i] :
              ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV324 )
              = ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV324 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2569]) ).

thf(2598,plain,
    ! [SV308: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2569]) ).

thf(2599,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[117]) ).

thf(2601,plain,
    ( ( ( ! [SV325: $i] :
            ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV325 )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV325 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[119]) ).

thf(2602,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[119]) ).

thf(2603,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[122]) ).

thf(2605,plain,
    ! [SV309: $i,SV310: $i] :
      ( ( ( ! [SV326: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV326 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV326 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2572]) ).

thf(2606,plain,
    ! [SV309: $i,SV310: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2572]) ).

thf(2607,plain,
    ! [SV309: $i,SV310: $i] :
      ( ( ( ! [SV327: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV327 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV327 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2571]) ).

thf(2608,plain,
    ! [SV309: $i,SV310: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2571]) ).

thf(2609,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(2611,plain,
    ! [SV311: $i,SV312: $i] :
      ( ( ( ! [SV328: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV328 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV328 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2574]) ).

thf(2612,plain,
    ! [SV311: $i,SV312: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2574]) ).

thf(2613,plain,
    ! [SV311: $i,SV312: $i] :
      ( ( ( ! [SV329: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV329 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV329 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2573]) ).

thf(2614,plain,
    ! [SV311: $i,SV312: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2573]) ).

thf(2615,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[132]) ).

thf(2617,plain,
    ! [SV313: $i,SV314: $i] :
      ( ( ( ! [SV330: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV330 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV330 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2576]) ).

thf(2618,plain,
    ! [SV313: $i,SV314: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2576]) ).

thf(2619,plain,
    ! [SV313: $i,SV314: $i] :
      ( ( ( ! [SV331: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV331 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV331 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2575]) ).

thf(2620,plain,
    ! [SV313: $i,SV314: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2575]) ).

thf(2621,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[137]) ).

thf(2623,plain,
    ! [SV315: $i,SV316: $i] :
      ( ( ( ! [SV332: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV332 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV332 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2578]) ).

thf(2624,plain,
    ! [SV315: $i,SV316: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2578]) ).

thf(2625,plain,
    ! [SV315: $i,SV316: $i] :
      ( ( ( ! [SV333: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV333 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV333 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2577]) ).

thf(2626,plain,
    ! [SV315: $i,SV316: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2577]) ).

thf(2627,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[142]) ).

thf(2629,plain,
    ( ( ( ! [SV334: $i] :
            ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV334 )
            = ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV334 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[144]) ).

thf(2630,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[144]) ).

thf(2631,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[147]) ).

thf(2633,plain,
    ! [SV317: $i] :
      ( ( ( ! [SV335: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV335 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV335 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2580]) ).

thf(2634,plain,
    ! [SV317: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2580]) ).

thf(2635,plain,
    ! [SV317: $i] :
      ( ( ( ! [SV336: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV336 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV336 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2579]) ).

thf(2636,plain,
    ! [SV317: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2579]) ).

thf(2637,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[152]) ).

thf(2639,plain,
    ! [SV318: $i] :
      ( ( ( ! [SV337: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV337 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV337 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2582]) ).

thf(2640,plain,
    ! [SV318: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2582]) ).

thf(2641,plain,
    ! [SV318: $i] :
      ( ( ( ! [SV338: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV338 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV338 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2581]) ).

thf(2642,plain,
    ! [SV318: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2581]) ).

thf(2643,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[157]) ).

thf(2645,plain,
    ! [SV319: $i] :
      ( ( ( ! [SV339: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV339 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV339 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2584]) ).

thf(2646,plain,
    ! [SV319: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2584]) ).

thf(2647,plain,
    ! [SV319: $i] :
      ( ( ( ! [SV340: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV340 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV340 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2583]) ).

thf(2648,plain,
    ! [SV319: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2583]) ).

thf(2649,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[162]) ).

thf(2651,plain,
    ! [SV320: $i] :
      ( ( ( ! [SV341: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV341 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV341 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2586]) ).

thf(2652,plain,
    ! [SV320: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2586]) ).

thf(2653,plain,
    ! [SV320: $i] :
      ( ( ( ! [SV342: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV342 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV342 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2585]) ).

thf(2654,plain,
    ! [SV320: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2585]) ).

thf(2655,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2587]) ).

thf(2658,plain,
    ! [SV307: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK172_SV321 @ SV307 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK172_SV321 @ SV307 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2589]) ).

thf(2659,plain,
    ! [SV307: $i] :
      ( ( ( ! [SV344: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV344 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV344 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2590]) ).

thf(2660,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2590]) ).

thf(2661,plain,
    ! [SV307: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK173_SV322 @ SV307 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK173_SV322 @ SV307 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2591]) ).

thf(2662,plain,
    ! [SV307: $i] :
      ( ( ( ! [SV345: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV345 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV345 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2592]) ).

thf(2663,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2592]) ).

thf(2664,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( SV28
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2593]) ).

thf(2667,plain,
    ! [SV308: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK174_SV323 @ SV308 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK174_SV323 @ SV308 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2595]) ).

thf(2668,plain,
    ! [SV308: $i] :
      ( ( ( ! [SV347: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV347 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV347 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2596]) ).

thf(2669,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2596]) ).

thf(2670,plain,
    ! [SV308: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK175_SV324 @ SV308 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK175_SV324 @ SV308 ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2597]) ).

thf(2671,plain,
    ! [SV308: $i] :
      ( ( ( ! [SV348: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV348 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV348 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2598]) ).

thf(2672,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2598]) ).

thf(2673,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2599]) ).

thf(2676,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK176_SV325 )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK176_SV325 ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2601]) ).

thf(2677,plain,
    ( ( ( ! [SV350: $i] :
            ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV350 )
            = ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV350 ) ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2602]) ).

thf(2678,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2602]) ).

thf(2679,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2603]) ).

thf(2682,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK177_SV326 @ SV309 @ SV310 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK177_SV326 @ SV309 @ SV310 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2605]) ).

thf(2683,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK178_SV327 @ SV309 @ SV310 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK178_SV327 @ SV309 @ SV310 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2607]) ).

thf(2684,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2609]) ).

thf(2687,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK179_SV328 @ SV311 @ SV312 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK179_SV328 @ SV311 @ SV312 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2611]) ).

thf(2688,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK180_SV329 @ SV311 @ SV312 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK180_SV329 @ SV311 @ SV312 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2613]) ).

thf(2689,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2615]) ).

thf(2692,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK181_SV330 @ SV313 @ SV314 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK181_SV330 @ SV313 @ SV314 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2617]) ).

thf(2693,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK182_SV331 @ SV313 @ SV314 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK182_SV331 @ SV313 @ SV314 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2619]) ).

thf(2694,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( SV28
              @ ( sK6_SY11
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) )
              @ ( sK5_X
                @ ^ [SX0: $i > $o,SX1: $i > $o] :
                    ~ ( SV28 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2621]) ).

thf(2697,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK183_SV332 @ SV315 @ SV316 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK183_SV332 @ SV315 @ SV316 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2623]) ).

thf(2698,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK184_SV333 @ SV315 @ SV316 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK184_SV333 @ SV315 @ SV316 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2625]) ).

thf(2699,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2627]) ).

thf(2702,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK185_SV334 )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK185_SV334 ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2629]) ).

thf(2703,plain,
    ( ( ( ! [SV356: $i] :
            ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV356 )
            = ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV356 ) ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2630]) ).

thf(2704,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2630]) ).

thf(2705,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2631]) ).

thf(2708,plain,
    ! [SV317: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK186_SV335 @ SV317 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK186_SV335 @ SV317 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2633]) ).

thf(2709,plain,
    ! [SV317: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK187_SV336 @ SV317 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK187_SV336 @ SV317 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2635]) ).

thf(2710,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2637]) ).

thf(2713,plain,
    ! [SV318: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK188_SV337 @ SV318 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK188_SV337 @ SV318 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2639]) ).

thf(2714,plain,
    ! [SV318: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK189_SV338 @ SV318 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK189_SV338 @ SV318 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2641]) ).

thf(2715,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2643]) ).

thf(2718,plain,
    ! [SV319: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK190_SV339 @ SV319 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK190_SV339 @ SV319 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2645]) ).

thf(2719,plain,
    ! [SV319: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK191_SV340 @ SV319 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK191_SV340 @ SV319 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2647]) ).

thf(2720,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] :
              ~ ( SV28 @ SX0 @ SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2649]) ).

thf(2723,plain,
    ! [SV320: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK192_SV341 @ SV320 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK192_SV341 @ SV320 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2651]) ).

thf(2724,plain,
    ! [SV320: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK193_SV342 @ SV320 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK193_SV342 @ SV320 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2653]) ).

thf(2725,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2655]) ).

thf(2728,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK172_SV321 @ SV307 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK172_SV321 @ SV307 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK172_SV321 @ SV307 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK172_SV321 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2658]) ).

thf(2730,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK194_SV344 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK194_SV344 @ SV307 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2659]) ).

thf(2731,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK173_SV322 @ SV307 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK173_SV322 @ SV307 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK173_SV322 @ SV307 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK173_SV322 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2661]) ).

thf(2733,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK195_SV345 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK195_SV345 @ SV307 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2662]) ).

thf(2734,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2664]) ).

thf(2737,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK174_SV323 @ SV308 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK174_SV323 @ SV308 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK174_SV323 @ SV308 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK174_SV323 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2667]) ).

thf(2739,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK196_SV347 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK196_SV347 @ SV308 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2668]) ).

thf(2740,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK175_SV324 @ SV308 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK175_SV324 @ SV308 ) ) )
          | ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK175_SV324 @ SV308 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK175_SV324 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2670]) ).

thf(2742,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK197_SV348 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK197_SV348 @ SV308 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2671]) ).

thf(2745,plain,
    ( ( ( ~ ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK176_SV325 )
            | ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK176_SV325 ) )
        | ~ ( ~ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK176_SV325 )
            | ~ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK176_SV325 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2676]) ).

thf(2747,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK198_SV350 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK198_SV350 ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2677]) ).

thf(2748,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2679]) ).

thf(2751,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK177_SV326 @ SV309 @ SV310 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK177_SV326 @ SV309 @ SV310 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK177_SV326 @ SV309 @ SV310 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK177_SV326 @ SV309 @ SV310 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2682]) ).

thf(2752,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK177_SV326 @ SV309 @ SV310 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK177_SV326 @ SV309 @ SV310 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2682]) ).

thf(2753,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK178_SV327 @ SV309 @ SV310 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK178_SV327 @ SV309 @ SV310 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK178_SV327 @ SV309 @ SV310 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK178_SV327 @ SV309 @ SV310 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2683]) ).

thf(2754,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK178_SV327 @ SV309 @ SV310 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK178_SV327 @ SV309 @ SV310 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2683]) ).

thf(2755,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( SV28
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2684]) ).

thf(2758,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK179_SV328 @ SV311 @ SV312 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK179_SV328 @ SV311 @ SV312 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK179_SV328 @ SV311 @ SV312 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK179_SV328 @ SV311 @ SV312 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2687]) ).

thf(2759,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK179_SV328 @ SV311 @ SV312 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK179_SV328 @ SV311 @ SV312 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2687]) ).

thf(2760,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK180_SV329 @ SV311 @ SV312 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK180_SV329 @ SV311 @ SV312 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK180_SV329 @ SV311 @ SV312 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK180_SV329 @ SV311 @ SV312 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2688]) ).

thf(2761,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK180_SV329 @ SV311 @ SV312 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK180_SV329 @ SV311 @ SV312 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2688]) ).

thf(2762,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( SV28
          @ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2689]) ).

thf(2765,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK181_SV330 @ SV313 @ SV314 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK181_SV330 @ SV313 @ SV314 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK181_SV330 @ SV313 @ SV314 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK181_SV330 @ SV313 @ SV314 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2692]) ).

thf(2766,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK181_SV330 @ SV313 @ SV314 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK181_SV330 @ SV313 @ SV314 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2692]) ).

thf(2767,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK182_SV331 @ SV313 @ SV314 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK182_SV331 @ SV313 @ SV314 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK182_SV331 @ SV313 @ SV314 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK182_SV331 @ SV313 @ SV314 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2693]) ).

thf(2768,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK182_SV331 @ SV313 @ SV314 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK182_SV331 @ SV313 @ SV314 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2693]) ).

thf(2769,plain,
    ! [SV28: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV28
          @ ( sK6_SY11
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK5_X
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( SV28
          @ ( sK2_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( SV28
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) )
          @ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] :
                ~ ( SV28 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2694]) ).

thf(2772,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK183_SV332 @ SV315 @ SV316 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK183_SV332 @ SV315 @ SV316 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK183_SV332 @ SV315 @ SV316 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK183_SV332 @ SV315 @ SV316 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2697]) ).

thf(2773,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK183_SV332 @ SV315 @ SV316 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK183_SV332 @ SV315 @ SV316 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2697]) ).

thf(2774,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK184_SV333 @ SV315 @ SV316 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK184_SV333 @ SV315 @ SV316 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK184_SV333 @ SV315 @ SV316 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK184_SV333 @ SV315 @ SV316 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2698]) ).

thf(2775,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK184_SV333 @ SV315 @ SV316 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK184_SV333 @ SV315 @ SV316 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2698]) ).

thf(2778,plain,
    ( ( ( ~ ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK185_SV334 )
            | ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK185_SV334 ) )
        | ~ ( ~ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK185_SV334 )
            | ~ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK185_SV334 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2702]) ).

thf(2780,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK203_SV356 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK203_SV356 ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2703]) ).

thf(2783,plain,
    ! [SV317: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK186_SV335 @ SV317 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK186_SV335 @ SV317 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK186_SV335 @ SV317 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK186_SV335 @ SV317 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2708]) ).

thf(2784,plain,
    ! [SV317: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK186_SV335 @ SV317 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK186_SV335 @ SV317 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2708]) ).

thf(2785,plain,
    ! [SV317: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK187_SV336 @ SV317 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK187_SV336 @ SV317 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK187_SV336 @ SV317 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK187_SV336 @ SV317 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2709]) ).

thf(2786,plain,
    ! [SV317: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK187_SV336 @ SV317 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK187_SV336 @ SV317 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2709]) ).

thf(2789,plain,
    ! [SV318: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK188_SV337 @ SV318 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK188_SV337 @ SV318 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK188_SV337 @ SV318 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK188_SV337 @ SV318 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2713]) ).

thf(2790,plain,
    ! [SV318: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK188_SV337 @ SV318 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK188_SV337 @ SV318 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2713]) ).

thf(2791,plain,
    ! [SV318: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK189_SV338 @ SV318 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK189_SV338 @ SV318 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK189_SV338 @ SV318 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK189_SV338 @ SV318 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2714]) ).

thf(2792,plain,
    ! [SV318: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK189_SV338 @ SV318 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK189_SV338 @ SV318 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2714]) ).

thf(2795,plain,
    ! [SV319: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK190_SV339 @ SV319 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK190_SV339 @ SV319 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK190_SV339 @ SV319 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK190_SV339 @ SV319 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2718]) ).

thf(2796,plain,
    ! [SV319: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK190_SV339 @ SV319 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK190_SV339 @ SV319 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2718]) ).

thf(2797,plain,
    ! [SV319: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK191_SV340 @ SV319 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK191_SV340 @ SV319 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK191_SV340 @ SV319 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK191_SV340 @ SV319 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2719]) ).

thf(2798,plain,
    ! [SV319: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK191_SV340 @ SV319 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK191_SV340 @ SV319 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2719]) ).

thf(2801,plain,
    ! [SV320: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK192_SV341 @ SV320 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK192_SV341 @ SV320 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK192_SV341 @ SV320 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK192_SV341 @ SV320 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2723]) ).

thf(2802,plain,
    ! [SV320: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK192_SV341 @ SV320 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK192_SV341 @ SV320 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2723]) ).

thf(2803,plain,
    ! [SV320: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK193_SV342 @ SV320 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK193_SV342 @ SV320 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK193_SV342 @ SV320 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK193_SV342 @ SV320 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2724]) ).

thf(2804,plain,
    ! [SV320: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK193_SV342 @ SV320 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK193_SV342 @ SV320 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2724]) ).

thf(2809,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK172_SV321 @ SV307 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK172_SV321 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2728]) ).

thf(2810,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK172_SV321 @ SV307 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK172_SV321 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2728]) ).

thf(2813,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK194_SV344 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK194_SV344 @ SV307 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK194_SV344 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK194_SV344 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2730]) ).

thf(2814,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK194_SV344 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK194_SV344 @ SV307 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2730]) ).

thf(2815,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK173_SV322 @ SV307 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK173_SV322 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2731]) ).

thf(2816,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK173_SV322 @ SV307 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK173_SV322 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2731]) ).

thf(2819,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK195_SV345 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK195_SV345 @ SV307 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK195_SV345 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK195_SV345 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2733]) ).

thf(2820,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK195_SV345 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK195_SV345 @ SV307 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2733]) ).

thf(2825,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK174_SV323 @ SV308 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK174_SV323 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2737]) ).

thf(2826,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK174_SV323 @ SV308 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK174_SV323 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2737]) ).

thf(2829,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK196_SV347 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK196_SV347 @ SV308 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK196_SV347 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK196_SV347 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2739]) ).

thf(2830,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK196_SV347 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK196_SV347 @ SV308 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2739]) ).

thf(2831,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK175_SV324 @ SV308 ) )
              | ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK175_SV324 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2740]) ).

thf(2832,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ~ ( sK1_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK175_SV324 @ SV308 ) )
              | ~ ( sK3_SY10
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK175_SV324 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2740]) ).

thf(2835,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK197_SV348 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK197_SV348 @ SV308 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK197_SV348 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK197_SV348 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2742]) ).

thf(2836,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK197_SV348 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK197_SV348 @ SV308 ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2742]) ).

thf(2841,plain,
    ( ( ( ~ ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK176_SV325 )
            | ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK176_SV325 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2745]) ).

thf(2842,plain,
    ( ( ( ~ ( ~ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK176_SV325 )
            | ~ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK176_SV325 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2745]) ).

thf(2845,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK198_SV350 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK198_SV350 ) )
        | ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK198_SV350 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK198_SV350 ) ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2747]) ).

thf(2846,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK198_SV350 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK198_SV350 ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2747]) ).

thf(2851,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK177_SV326 @ SV309 @ SV310 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK177_SV326 @ SV309 @ SV310 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2751]) ).

thf(2852,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK177_SV326 @ SV309 @ SV310 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK177_SV326 @ SV309 @ SV310 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2751]) ).

thf(2853,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK178_SV327 @ SV309 @ SV310 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK178_SV327 @ SV309 @ SV310 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2753]) ).

thf(2854,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK178_SV327 @ SV309 @ SV310 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK178_SV327 @ SV309 @ SV310 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2753]) ).

thf(2859,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK179_SV328 @ SV311 @ SV312 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK179_SV328 @ SV311 @ SV312 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2758]) ).

thf(2860,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK179_SV328 @ SV311 @ SV312 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK179_SV328 @ SV311 @ SV312 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2758]) ).

thf(2861,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK180_SV329 @ SV311 @ SV312 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK180_SV329 @ SV311 @ SV312 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2760]) ).

thf(2862,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK180_SV329 @ SV311 @ SV312 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK180_SV329 @ SV311 @ SV312 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2760]) ).

thf(2867,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK181_SV330 @ SV313 @ SV314 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK181_SV330 @ SV313 @ SV314 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2765]) ).

thf(2868,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK181_SV330 @ SV313 @ SV314 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK181_SV330 @ SV313 @ SV314 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2765]) ).

thf(2869,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK182_SV331 @ SV313 @ SV314 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK182_SV331 @ SV313 @ SV314 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2767]) ).

thf(2870,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK182_SV331 @ SV313 @ SV314 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK182_SV331 @ SV313 @ SV314 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2767]) ).

thf(2875,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK183_SV332 @ SV315 @ SV316 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK183_SV332 @ SV315 @ SV316 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2772]) ).

thf(2876,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK183_SV332 @ SV315 @ SV316 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK183_SV332 @ SV315 @ SV316 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2772]) ).

thf(2877,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK184_SV333 @ SV315 @ SV316 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK184_SV333 @ SV315 @ SV316 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2774]) ).

thf(2878,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK184_SV333 @ SV315 @ SV316 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK184_SV333 @ SV315 @ SV316 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2774]) ).

thf(2883,plain,
    ( ( ( ~ ( ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK185_SV334 )
            | ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK185_SV334 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2778]) ).

thf(2884,plain,
    ( ( ( ~ ( ~ ( sK1_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK185_SV334 )
            | ~ ( sK3_SY10
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK185_SV334 ) ) )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2778]) ).

thf(2887,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK203_SV356 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK203_SV356 ) )
        | ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK203_SV356 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK203_SV356 ) ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2780]) ).

thf(2888,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK203_SV356 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK203_SV356 ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2780]) ).

thf(2893,plain,
    ! [SV317: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK186_SV335 @ SV317 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK186_SV335 @ SV317 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2783]) ).

thf(2894,plain,
    ! [SV317: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK186_SV335 @ SV317 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK186_SV335 @ SV317 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2783]) ).

thf(2895,plain,
    ! [SV317: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK187_SV336 @ SV317 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK187_SV336 @ SV317 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2785]) ).

thf(2896,plain,
    ! [SV317: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK187_SV336 @ SV317 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK187_SV336 @ SV317 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2785]) ).

thf(2901,plain,
    ! [SV318: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK188_SV337 @ SV318 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK188_SV337 @ SV318 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2789]) ).

thf(2902,plain,
    ! [SV318: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK188_SV337 @ SV318 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK188_SV337 @ SV318 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2789]) ).

thf(2903,plain,
    ! [SV318: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK189_SV338 @ SV318 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK189_SV338 @ SV318 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2791]) ).

thf(2904,plain,
    ! [SV318: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK189_SV338 @ SV318 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK189_SV338 @ SV318 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2791]) ).

thf(2909,plain,
    ! [SV319: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK190_SV339 @ SV319 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK190_SV339 @ SV319 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2795]) ).

thf(2910,plain,
    ! [SV319: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK190_SV339 @ SV319 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK190_SV339 @ SV319 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2795]) ).

thf(2911,plain,
    ! [SV319: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK191_SV340 @ SV319 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK191_SV340 @ SV319 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2797]) ).

thf(2912,plain,
    ! [SV319: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK191_SV340 @ SV319 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK191_SV340 @ SV319 ) ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2797]) ).

thf(2917,plain,
    ! [SV320: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK192_SV341 @ SV320 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK192_SV341 @ SV320 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2801]) ).

thf(2918,plain,
    ! [SV320: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK192_SV341 @ SV320 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK192_SV341 @ SV320 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2801]) ).

thf(2919,plain,
    ! [SV320: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK193_SV342 @ SV320 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK193_SV342 @ SV320 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2803]) ).

thf(2920,plain,
    ! [SV320: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK193_SV342 @ SV320 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK193_SV342 @ SV320 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2803]) ).

thf(2925,plain,
    ! [SV307: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK172_SV321 @ SV307 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK172_SV321 @ SV307 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2809]) ).

thf(2926,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK172_SV321 @ SV307 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK172_SV321 @ SV307 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2810]) ).

thf(2928,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK194_SV344 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK194_SV344 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2813]) ).

thf(2929,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK194_SV344 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK194_SV344 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2813]) ).

thf(2930,plain,
    ! [SV307: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK173_SV322 @ SV307 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK173_SV322 @ SV307 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2815]) ).

thf(2931,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK173_SV322 @ SV307 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK173_SV322 @ SV307 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2816]) ).

thf(2933,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK195_SV345 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK195_SV345 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2819]) ).

thf(2934,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK195_SV345 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK195_SV345 @ SV307 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2819]) ).

thf(2939,plain,
    ! [SV308: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK174_SV323 @ SV308 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK174_SV323 @ SV308 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2825]) ).

thf(2940,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK174_SV323 @ SV308 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK174_SV323 @ SV308 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2826]) ).

thf(2942,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK196_SV347 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK196_SV347 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2829]) ).

thf(2943,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK196_SV347 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK196_SV347 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2829]) ).

thf(2944,plain,
    ! [SV308: $i] :
      ( ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK175_SV324 @ SV308 ) )
          | ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK175_SV324 @ SV308 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2831]) ).

thf(2945,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK175_SV324 @ SV308 ) )
          | ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK175_SV324 @ SV308 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2832]) ).

thf(2947,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK197_SV348 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK197_SV348 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2835]) ).

thf(2948,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK197_SV348 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK197_SV348 @ SV308 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2835]) ).

thf(2952,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK176_SV325 )
        | ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK176_SV325 ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2841]) ).

thf(2953,plain,
    ( ( ( ~ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK176_SV325 )
        | ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK176_SV325 ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2842]) ).

thf(2955,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK198_SV350 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK198_SV350 ) ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2845]) ).

thf(2956,plain,
    ( ( ( ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK198_SV350 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK198_SV350 ) ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2845]) ).

thf(2962,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK177_SV326 @ SV309 @ SV310 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK177_SV326 @ SV309 @ SV310 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2851]) ).

thf(2963,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK177_SV326 @ SV309 @ SV310 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK177_SV326 @ SV309 @ SV310 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2852]) ).

thf(2964,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK178_SV327 @ SV309 @ SV310 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK178_SV327 @ SV309 @ SV310 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2853]) ).

thf(2965,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK178_SV327 @ SV309 @ SV310 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK178_SV327 @ SV309 @ SV310 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2854]) ).

thf(2971,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK179_SV328 @ SV311 @ SV312 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK179_SV328 @ SV311 @ SV312 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2859]) ).

thf(2972,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK179_SV328 @ SV311 @ SV312 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK179_SV328 @ SV311 @ SV312 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2860]) ).

thf(2973,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK180_SV329 @ SV311 @ SV312 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK180_SV329 @ SV311 @ SV312 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2861]) ).

thf(2974,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK180_SV329 @ SV311 @ SV312 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK180_SV329 @ SV311 @ SV312 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2862]) ).

thf(2980,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK181_SV330 @ SV313 @ SV314 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK181_SV330 @ SV313 @ SV314 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2867]) ).

thf(2981,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK181_SV330 @ SV313 @ SV314 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK181_SV330 @ SV313 @ SV314 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2868]) ).

thf(2982,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK182_SV331 @ SV313 @ SV314 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK182_SV331 @ SV313 @ SV314 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2869]) ).

thf(2983,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK182_SV331 @ SV313 @ SV314 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK182_SV331 @ SV313 @ SV314 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2870]) ).

thf(2989,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK183_SV332 @ SV315 @ SV316 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK183_SV332 @ SV315 @ SV316 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2875]) ).

thf(2990,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK183_SV332 @ SV315 @ SV316 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK183_SV332 @ SV315 @ SV316 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2876]) ).

thf(2991,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK184_SV333 @ SV315 @ SV316 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK184_SV333 @ SV315 @ SV316 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2877]) ).

thf(2992,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK184_SV333 @ SV315 @ SV316 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK184_SV333 @ SV315 @ SV316 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2878]) ).

thf(2996,plain,
    ( ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK185_SV334 )
        | ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK185_SV334 ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2883]) ).

thf(2997,plain,
    ( ( ( ~ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK185_SV334 )
        | ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK185_SV334 ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2884]) ).

thf(2999,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK203_SV356 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK203_SV356 ) ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2887]) ).

thf(3000,plain,
    ( ( ( ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK203_SV356 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK203_SV356 ) ) )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2887]) ).

thf(3005,plain,
    ! [SV317: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK186_SV335 @ SV317 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK186_SV335 @ SV317 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2893]) ).

thf(3006,plain,
    ! [SV317: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK186_SV335 @ SV317 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK186_SV335 @ SV317 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2894]) ).

thf(3007,plain,
    ! [SV317: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK187_SV336 @ SV317 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK187_SV336 @ SV317 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2895]) ).

thf(3008,plain,
    ! [SV317: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK187_SV336 @ SV317 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK187_SV336 @ SV317 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2896]) ).

thf(3013,plain,
    ! [SV318: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK188_SV337 @ SV318 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK188_SV337 @ SV318 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2901]) ).

thf(3014,plain,
    ! [SV318: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK188_SV337 @ SV318 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK188_SV337 @ SV318 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2902]) ).

thf(3015,plain,
    ! [SV318: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK189_SV338 @ SV318 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK189_SV338 @ SV318 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2903]) ).

thf(3016,plain,
    ! [SV318: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK189_SV338 @ SV318 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK189_SV338 @ SV318 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2904]) ).

thf(3021,plain,
    ! [SV319: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK190_SV339 @ SV319 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK190_SV339 @ SV319 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2909]) ).

thf(3022,plain,
    ! [SV319: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK190_SV339 @ SV319 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK190_SV339 @ SV319 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2910]) ).

thf(3023,plain,
    ! [SV319: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK191_SV340 @ SV319 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK191_SV340 @ SV319 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2911]) ).

thf(3024,plain,
    ! [SV319: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK191_SV340 @ SV319 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK191_SV340 @ SV319 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2912]) ).

thf(3029,plain,
    ! [SV320: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK192_SV341 @ SV320 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK192_SV341 @ SV320 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2917]) ).

thf(3030,plain,
    ! [SV320: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK192_SV341 @ SV320 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK192_SV341 @ SV320 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2918]) ).

thf(3031,plain,
    ! [SV320: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK193_SV342 @ SV320 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK193_SV342 @ SV320 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2919]) ).

thf(3032,plain,
    ! [SV320: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK193_SV342 @ SV320 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK193_SV342 @ SV320 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2920]) ).

thf(3040,plain,
    ! [SV307: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2925]) ).

thf(3041,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK172_SV321 @ SV307 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK172_SV321 @ SV307 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2926]) ).

thf(3044,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK194_SV344 @ SV307 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK194_SV344 @ SV307 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2928]) ).

thf(3045,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK194_SV344 @ SV307 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK194_SV344 @ SV307 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2929]) ).

thf(3046,plain,
    ! [SV307: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2930]) ).

thf(3047,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK173_SV322 @ SV307 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK173_SV322 @ SV307 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2931]) ).

thf(3050,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK195_SV345 @ SV307 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK195_SV345 @ SV307 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2933]) ).

thf(3051,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK195_SV345 @ SV307 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK195_SV345 @ SV307 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2934]) ).

thf(3059,plain,
    ! [SV308: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2939]) ).

thf(3060,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK174_SV323 @ SV308 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK174_SV323 @ SV308 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2940]) ).

thf(3063,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK196_SV347 @ SV308 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK196_SV347 @ SV308 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2942]) ).

thf(3064,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK196_SV347 @ SV308 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK196_SV347 @ SV308 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2943]) ).

thf(3065,plain,
    ! [SV308: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2944]) ).

thf(3066,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK1_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK175_SV324 @ SV308 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK175_SV324 @ SV308 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2945]) ).

thf(3069,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK197_SV348 @ SV308 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK197_SV348 @ SV308 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2947]) ).

thf(3070,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK197_SV348 @ SV308 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK197_SV348 @ SV308 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2948]) ).

thf(3076,plain,
    ( ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2952]) ).

thf(3077,plain,
    ( ( ( ~ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK176_SV325 ) )
      = $true )
    | ( ( ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK176_SV325 ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2953]) ).

thf(3080,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK198_SV350 )
        | ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK198_SV350 ) )
      = $true )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2955]) ).

thf(3081,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK198_SV350 )
        | ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK198_SV350 ) )
      = $true )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2956]) ).

thf(3090,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_SV326 @ SV309 @ SV310 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_SV326 @ SV309 @ SV310 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2962]) ).

thf(3091,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK177_SV326 @ SV309 @ SV310 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK177_SV326 @ SV309 @ SV310 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2963]) ).

thf(3092,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_SV327 @ SV309 @ SV310 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_SV327 @ SV309 @ SV310 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2964]) ).

thf(3093,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK178_SV327 @ SV309 @ SV310 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK178_SV327 @ SV309 @ SV310 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2965]) ).

thf(3102,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_SV328 @ SV311 @ SV312 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_SV328 @ SV311 @ SV312 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2971]) ).

thf(3103,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK179_SV328 @ SV311 @ SV312 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK179_SV328 @ SV311 @ SV312 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2972]) ).

thf(3104,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_SV329 @ SV311 @ SV312 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_SV329 @ SV311 @ SV312 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2973]) ).

thf(3105,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK180_SV329 @ SV311 @ SV312 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK180_SV329 @ SV311 @ SV312 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2974]) ).

thf(3114,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_SV330 @ SV313 @ SV314 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_SV330 @ SV313 @ SV314 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2980]) ).

thf(3115,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK181_SV330 @ SV313 @ SV314 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK181_SV330 @ SV313 @ SV314 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2981]) ).

thf(3116,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_SV331 @ SV313 @ SV314 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_SV331 @ SV313 @ SV314 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2982]) ).

thf(3117,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK182_SV331 @ SV313 @ SV314 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK182_SV331 @ SV313 @ SV314 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2983]) ).

thf(3126,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_SV332 @ SV315 @ SV316 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_SV332 @ SV315 @ SV316 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2989]) ).

thf(3127,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK183_SV332 @ SV315 @ SV316 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK183_SV332 @ SV315 @ SV316 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2990]) ).

thf(3128,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK184_SV333 @ SV315 @ SV316 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK184_SV333 @ SV315 @ SV316 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2991]) ).

thf(3129,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK184_SV333 @ SV315 @ SV316 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK184_SV333 @ SV315 @ SV316 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2992]) ).

thf(3135,plain,
    ( ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2996]) ).

thf(3136,plain,
    ( ( ( ~ ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK185_SV334 ) )
      = $true )
    | ( ( ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK185_SV334 ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2997]) ).

thf(3139,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK203_SV356 )
        | ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK203_SV356 ) )
      = $true )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2999]) ).

thf(3140,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK203_SV356 )
        | ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK203_SV356 ) )
      = $true )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3000]) ).

thf(3147,plain,
    ! [SV317: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_SV335 @ SV317 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_SV335 @ SV317 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3005]) ).

thf(3148,plain,
    ! [SV317: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK186_SV335 @ SV317 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK186_SV335 @ SV317 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3006]) ).

thf(3149,plain,
    ! [SV317: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_SV336 @ SV317 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_SV336 @ SV317 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3007]) ).

thf(3150,plain,
    ! [SV317: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK187_SV336 @ SV317 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK187_SV336 @ SV317 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3008]) ).

thf(3157,plain,
    ! [SV318: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_SV337 @ SV318 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_SV337 @ SV318 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3013]) ).

thf(3158,plain,
    ! [SV318: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK188_SV337 @ SV318 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK188_SV337 @ SV318 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3014]) ).

thf(3159,plain,
    ! [SV318: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_SV338 @ SV318 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_SV338 @ SV318 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3015]) ).

thf(3160,plain,
    ! [SV318: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK189_SV338 @ SV318 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK189_SV338 @ SV318 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3016]) ).

thf(3167,plain,
    ! [SV319: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_SV339 @ SV319 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_SV339 @ SV319 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3021]) ).

thf(3168,plain,
    ! [SV319: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK190_SV339 @ SV319 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK190_SV339 @ SV319 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3022]) ).

thf(3169,plain,
    ! [SV319: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_SV340 @ SV319 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_SV340 @ SV319 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3023]) ).

thf(3170,plain,
    ! [SV319: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK191_SV340 @ SV319 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK191_SV340 @ SV319 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3024]) ).

thf(3177,plain,
    ! [SV320: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_SV341 @ SV320 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_SV341 @ SV320 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3029]) ).

thf(3178,plain,
    ! [SV320: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK192_SV341 @ SV320 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK192_SV341 @ SV320 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3030]) ).

thf(3179,plain,
    ! [SV320: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_SV342 @ SV320 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_SV342 @ SV320 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3031]) ).

thf(3180,plain,
    ! [SV320: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK193_SV342 @ SV320 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK193_SV342 @ SV320 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3032]) ).

thf(3188,plain,
    ! [SV307: $i] :
      ( ( ( ! [SV414: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV414 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV414 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3040]) ).

thf(3189,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3040]) ).

thf(3190,plain,
    ! [SV307: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK172_SV321 @ SV307 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3041]) ).

thf(3193,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3044]) ).

thf(3194,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK194_SV344 @ SV307 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK194_SV344 @ SV307 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3045]) ).

thf(3195,plain,
    ! [SV307: $i] :
      ( ( ( ! [SV415: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV415 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV415 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3046]) ).

thf(3196,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3046]) ).

thf(3197,plain,
    ! [SV307: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK173_SV322 @ SV307 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3047]) ).

thf(3200,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3050]) ).

thf(3201,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK195_SV345 @ SV307 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK195_SV345 @ SV307 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3051]) ).

thf(3209,plain,
    ! [SV308: $i] :
      ( ( ( ! [SV417: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV417 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV417 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3059]) ).

thf(3210,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3059]) ).

thf(3211,plain,
    ! [SV308: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK174_SV323 @ SV308 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3060]) ).

thf(3214,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3063]) ).

thf(3215,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK196_SV347 @ SV308 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK196_SV347 @ SV308 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3064]) ).

thf(3216,plain,
    ! [SV308: $i] :
      ( ( ( ! [SV418: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV418 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV418 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3065]) ).

thf(3217,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3065]) ).

thf(3218,plain,
    ! [SV308: $i] :
      ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( ~ ( sK3_SY10
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK175_SV324 @ SV308 ) ) )
        = $true )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3066]) ).

thf(3221,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3069]) ).

thf(3222,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK197_SV348 @ SV308 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK197_SV348 @ SV308 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3070]) ).

thf(3227,plain,
    ( ( ( ! [SV420: $i] :
            ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV420 )
            = ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV420 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3076]) ).

thf(3228,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3076]) ).

thf(3229,plain,
    ( ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK176_SV325 ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3077]) ).

thf(3232,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $true )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3080]) ).

thf(3233,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK198_SV350 ) )
      = $true )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK198_SV350 ) )
      = $true )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3081]) ).

thf(3241,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_SV326 @ SV309 @ SV310 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK177_SV326 @ SV309 @ SV310 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3091]) ).

thf(3242,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_SV327 @ SV309 @ SV310 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK178_SV327 @ SV309 @ SV310 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3093]) ).

thf(3250,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_SV328 @ SV311 @ SV312 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK179_SV328 @ SV311 @ SV312 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3103]) ).

thf(3251,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_SV329 @ SV311 @ SV312 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK180_SV329 @ SV311 @ SV312 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3105]) ).

thf(3259,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_SV330 @ SV313 @ SV314 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK181_SV330 @ SV313 @ SV314 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3115]) ).

thf(3260,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_SV331 @ SV313 @ SV314 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK182_SV331 @ SV313 @ SV314 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3117]) ).

thf(3268,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_SV332 @ SV315 @ SV316 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK183_SV332 @ SV315 @ SV316 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3127]) ).

thf(3269,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK184_SV333 @ SV315 @ SV316 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK184_SV333 @ SV315 @ SV316 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3129]) ).

thf(3274,plain,
    ( ( ( ! [SV426: $i] :
            ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV426 )
            = ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV426 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3135]) ).

thf(3275,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3135]) ).

thf(3276,plain,
    ( ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( ~ ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK185_SV334 ) )
      = $true )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3136]) ).

thf(3279,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $true )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3139]) ).

thf(3280,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK203_SV356 ) )
      = $true )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK203_SV356 ) )
      = $true )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3140]) ).

thf(3285,plain,
    ! [SV317: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_SV335 @ SV317 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK186_SV335 @ SV317 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3148]) ).

thf(3286,plain,
    ! [SV317: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_SV336 @ SV317 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK187_SV336 @ SV317 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3150]) ).

thf(3291,plain,
    ! [SV318: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_SV337 @ SV318 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK188_SV337 @ SV318 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3158]) ).

thf(3292,plain,
    ! [SV318: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_SV338 @ SV318 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK189_SV338 @ SV318 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3160]) ).

thf(3297,plain,
    ! [SV319: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_SV339 @ SV319 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK190_SV339 @ SV319 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3168]) ).

thf(3298,plain,
    ! [SV319: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_SV340 @ SV319 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK191_SV340 @ SV319 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3170]) ).

thf(3303,plain,
    ! [SV320: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_SV341 @ SV320 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK192_SV341 @ SV320 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3178]) ).

thf(3304,plain,
    ! [SV320: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_SV342 @ SV320 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK193_SV342 @ SV320 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3180]) ).

thf(3316,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK220_SV414 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK220_SV414 @ SV307 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3188]) ).

thf(3317,plain,
    ! [SV307: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3190]) ).

thf(3320,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK194_SV344 @ SV307 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3194]) ).

thf(3321,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK221_SV415 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK221_SV415 @ SV307 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3195]) ).

thf(3322,plain,
    ! [SV307: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3197]) ).

thf(3325,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK195_SV345 @ SV307 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3201]) ).

thf(3337,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK222_SV417 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK222_SV417 @ SV308 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3209]) ).

thf(3338,plain,
    ! [SV308: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3211]) ).

thf(3341,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK196_SV347 @ SV308 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3215]) ).

thf(3342,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK223_SV418 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK223_SV418 @ SV308 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3216]) ).

thf(3343,plain,
    ! [SV308: $i] :
      ( ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3218]) ).

thf(3346,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK197_SV348 @ SV308 ) ) )
        = $true )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3222]) ).

thf(3352,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK224_SV420 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK224_SV420 ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3227]) ).

thf(3353,plain,
    ( ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3229]) ).

thf(3356,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $false )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK198_SV350 ) )
      = $true )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3233]) ).

thf(3368,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_SV326 @ SV309 @ SV310 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_SV326 @ SV309 @ SV310 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3241]) ).

thf(3369,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_SV327 @ SV309 @ SV310 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_SV327 @ SV309 @ SV310 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3242]) ).

thf(3381,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_SV328 @ SV311 @ SV312 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_SV328 @ SV311 @ SV312 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3250]) ).

thf(3382,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_SV329 @ SV311 @ SV312 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_SV329 @ SV311 @ SV312 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3251]) ).

thf(3394,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_SV330 @ SV313 @ SV314 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_SV330 @ SV313 @ SV314 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3259]) ).

thf(3395,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_SV331 @ SV313 @ SV314 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_SV331 @ SV313 @ SV314 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3260]) ).

thf(3407,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_SV332 @ SV315 @ SV316 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_SV332 @ SV315 @ SV316 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3268]) ).

thf(3408,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK184_SV333 @ SV315 @ SV316 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK184_SV333 @ SV315 @ SV316 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3269]) ).

thf(3414,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK225_SV426 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK225_SV426 ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3274]) ).

thf(3415,plain,
    ( ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3276]) ).

thf(3418,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $false )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK203_SV356 ) )
      = $true )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3280]) ).

thf(3424,plain,
    ! [SV317: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_SV335 @ SV317 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_SV335 @ SV317 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3285]) ).

thf(3425,plain,
    ! [SV317: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_SV336 @ SV317 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_SV336 @ SV317 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3286]) ).

thf(3431,plain,
    ! [SV318: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_SV337 @ SV318 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_SV337 @ SV318 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3291]) ).

thf(3432,plain,
    ! [SV318: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_SV338 @ SV318 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_SV338 @ SV318 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3292]) ).

thf(3438,plain,
    ! [SV319: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_SV339 @ SV319 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_SV339 @ SV319 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3297]) ).

thf(3439,plain,
    ! [SV319: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_SV340 @ SV319 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_SV340 @ SV319 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3298]) ).

thf(3445,plain,
    ! [SV320: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_SV341 @ SV320 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_SV341 @ SV320 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3303]) ).

thf(3446,plain,
    ! [SV320: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_SV342 @ SV320 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_SV342 @ SV320 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3304]) ).

thf(3459,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK220_SV414 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK220_SV414 @ SV307 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK220_SV414 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK220_SV414 @ SV307 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3316]) ).

thf(3460,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK220_SV414 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK220_SV414 @ SV307 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3316]) ).

thf(3461,plain,
    ! [SV307: $i] :
      ( ( ( ! [SV443: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV443 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV443 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3317]) ).

thf(3462,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3317]) ).

thf(3465,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3320]) ).

thf(3466,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK221_SV415 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK221_SV415 @ SV307 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK221_SV415 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK221_SV415 @ SV307 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3321]) ).

thf(3467,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK221_SV415 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK221_SV415 @ SV307 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3321]) ).

thf(3468,plain,
    ! [SV307: $i] :
      ( ( ( ! [SV444: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV444 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV444 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3322]) ).

thf(3469,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3322]) ).

thf(3472,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3325]) ).

thf(3485,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK222_SV417 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK222_SV417 @ SV308 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK222_SV417 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK222_SV417 @ SV308 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3337]) ).

thf(3486,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK222_SV417 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK222_SV417 @ SV308 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3337]) ).

thf(3487,plain,
    ! [SV308: $i] :
      ( ( ( ! [SV445: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV445 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV445 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3338]) ).

thf(3488,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3338]) ).

thf(3491,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3341]) ).

thf(3492,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK223_SV418 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK223_SV418 @ SV308 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK223_SV418 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK223_SV418 @ SV308 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3342]) ).

thf(3493,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK223_SV418 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK223_SV418 @ SV308 ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3342]) ).

thf(3494,plain,
    ! [SV308: $i] :
      ( ( ( ! [SV446: $i] :
              ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV446 )
              = ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV446 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3343]) ).

thf(3495,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3343]) ).

thf(3498,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY10
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3346]) ).

thf(3506,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK224_SV420 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK224_SV420 ) )
        | ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK224_SV420 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK224_SV420 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3352]) ).

thf(3507,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK224_SV420 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK224_SV420 ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3352]) ).

thf(3508,plain,
    ( ( ( ! [SV447: $i] :
            ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV447 )
            = ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV447 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3353]) ).

thf(3509,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3353]) ).

thf(3512,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3356]) ).

thf(3564,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK225_SV426 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK225_SV426 ) )
        | ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK225_SV426 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK225_SV426 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3414]) ).

thf(3565,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK225_SV426 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK225_SV426 ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3414]) ).

thf(3566,plain,
    ( ( ( ! [SV452: $i] :
            ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV452 )
            = ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV452 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3415]) ).

thf(3567,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3415]) ).

thf(3570,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $false )
    | ( ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3418]) ).

thf(3610,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK220_SV414 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK220_SV414 @ SV307 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3459]) ).

thf(3611,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK220_SV414 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK220_SV414 @ SV307 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3459]) ).

thf(3612,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK238_SV443 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK238_SV443 @ SV307 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3461]) ).

thf(3614,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK221_SV415 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK221_SV415 @ SV307 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3466]) ).

thf(3615,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK221_SV415 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK221_SV415 @ SV307 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3466]) ).

thf(3616,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK239_SV444 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK239_SV444 @ SV307 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3468]) ).

thf(3633,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK222_SV417 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK222_SV417 @ SV308 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3485]) ).

thf(3634,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK222_SV417 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK222_SV417 @ SV308 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3485]) ).

thf(3635,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK240_SV445 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK240_SV445 @ SV308 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3487]) ).

thf(3637,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK223_SV418 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK223_SV418 @ SV308 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3492]) ).

thf(3638,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK223_SV418 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK223_SV418 @ SV308 ) ) ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3492]) ).

thf(3639,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK241_SV446 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK241_SV446 @ SV308 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3494]) ).

thf(3648,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK224_SV420 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK224_SV420 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3506]) ).

thf(3649,plain,
    ( ( ( ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK224_SV420 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK224_SV420 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3506]) ).

thf(3650,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK242_SV447 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK242_SV447 ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3508]) ).

thf(3715,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK225_SV426 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK225_SV426 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3564]) ).

thf(3716,plain,
    ( ( ( ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK225_SV426 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK225_SV426 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3564]) ).

thf(3717,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK243_SV452 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK243_SV452 ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3566]) ).

thf(3756,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK220_SV414 @ SV307 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK220_SV414 @ SV307 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3610]) ).

thf(3757,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK220_SV414 @ SV307 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK220_SV414 @ SV307 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3611]) ).

thf(3758,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK238_SV443 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK238_SV443 @ SV307 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK238_SV443 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK238_SV443 @ SV307 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3612]) ).

thf(3759,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK238_SV443 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK238_SV443 @ SV307 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3612]) ).

thf(3761,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK221_SV415 @ SV307 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK221_SV415 @ SV307 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3614]) ).

thf(3762,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK221_SV415 @ SV307 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK221_SV415 @ SV307 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3615]) ).

thf(3763,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK239_SV444 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK239_SV444 @ SV307 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK239_SV444 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK239_SV444 @ SV307 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3616]) ).

thf(3764,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK239_SV444 @ SV307 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK239_SV444 @ SV307 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3616]) ).

thf(3783,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK222_SV417 @ SV308 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK222_SV417 @ SV308 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3633]) ).

thf(3784,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK222_SV417 @ SV308 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK222_SV417 @ SV308 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3634]) ).

thf(3785,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK240_SV445 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK240_SV445 @ SV308 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK240_SV445 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK240_SV445 @ SV308 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3635]) ).

thf(3786,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK240_SV445 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK240_SV445 @ SV308 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3635]) ).

thf(3788,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK223_SV418 @ SV308 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK223_SV418 @ SV308 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3637]) ).

thf(3789,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK223_SV418 @ SV308 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK223_SV418 @ SV308 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3638]) ).

thf(3790,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK241_SV446 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK241_SV446 @ SV308 ) ) )
          | ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK241_SV446 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK241_SV446 @ SV308 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3639]) ).

thf(3791,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK241_SV446 @ SV308 ) )
          = ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK241_SV446 @ SV308 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3639]) ).

thf(3803,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK224_SV420 )
        | ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK224_SV420 ) )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3648]) ).

thf(3804,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK224_SV420 )
        | ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK224_SV420 ) )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3649]) ).

thf(3805,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK242_SV447 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK242_SV447 ) )
        | ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK242_SV447 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK242_SV447 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3650]) ).

thf(3806,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK242_SV447 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK242_SV447 ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3650]) ).

thf(3894,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK225_SV426 )
        | ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK225_SV426 ) )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3715]) ).

thf(3895,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK225_SV426 )
        | ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK225_SV426 ) )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3716]) ).

thf(3896,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK243_SV452 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK243_SV452 ) )
        | ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK243_SV452 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK243_SV452 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3717]) ).

thf(3897,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK243_SV452 )
        = ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK243_SV452 ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[3717]) ).

thf(3960,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_SV414 @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_SV414 @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3756]) ).

thf(3961,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK220_SV414 @ SV307 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK220_SV414 @ SV307 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3757]) ).

thf(3962,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK238_SV443 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK238_SV443 @ SV307 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3758]) ).

thf(3963,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK238_SV443 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK238_SV443 @ SV307 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3758]) ).

thf(3964,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_SV415 @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_SV415 @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3761]) ).

thf(3965,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK221_SV415 @ SV307 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK221_SV415 @ SV307 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3762]) ).

thf(3966,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK239_SV444 @ SV307 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK239_SV444 @ SV307 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3763]) ).

thf(3967,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK239_SV444 @ SV307 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK239_SV444 @ SV307 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3763]) ).

thf(3989,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_SV417 @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_SV417 @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3783]) ).

thf(3990,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK222_SV417 @ SV308 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK222_SV417 @ SV308 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3784]) ).

thf(3991,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK240_SV445 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK240_SV445 @ SV308 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3785]) ).

thf(3992,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK240_SV445 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK240_SV445 @ SV308 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3785]) ).

thf(3993,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_SV418 @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_SV418 @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3788]) ).

thf(3994,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK223_SV418 @ SV308 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK223_SV418 @ SV308 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3789]) ).

thf(3995,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK241_SV446 @ SV308 ) )
              | ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK241_SV446 @ SV308 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3790]) ).

thf(3996,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK241_SV446 @ SV308 ) )
              | ~ ( sK4_Xx
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK241_SV446 @ SV308 ) ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3790]) ).

thf(4011,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK224_SV420 )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK224_SV420 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3803]) ).

thf(4012,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK224_SV420 ) )
      = $true )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK224_SV420 ) )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3804]) ).

thf(4013,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK242_SV447 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK242_SV447 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3805]) ).

thf(4014,plain,
    ( ( ( ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK242_SV447 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK242_SV447 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3805]) ).

thf(4101,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK225_SV426 )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK225_SV426 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3894]) ).

thf(4102,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK225_SV426 ) )
      = $true )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK225_SV426 ) )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3895]) ).

thf(4103,plain,
    ( ( ( ~ ( ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK243_SV452 )
            | ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK243_SV452 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3896]) ).

thf(4104,plain,
    ( ( ( ~ ( ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK243_SV452 )
            | ~ ( sK4_Xx
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK243_SV452 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3896]) ).

thf(4160,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_SV414 @ SV307 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK220_SV414 @ SV307 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3961]) ).

thf(4161,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK238_SV443 @ SV307 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK238_SV443 @ SV307 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3962]) ).

thf(4162,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK238_SV443 @ SV307 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK238_SV443 @ SV307 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3963]) ).

thf(4163,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_SV415 @ SV307 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK221_SV415 @ SV307 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3965]) ).

thf(4164,plain,
    ! [SV307: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK239_SV444 @ SV307 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK239_SV444 @ SV307 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3966]) ).

thf(4165,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK239_SV444 @ SV307 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK239_SV444 @ SV307 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3967]) ).

thf(4189,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_SV417 @ SV308 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK222_SV417 @ SV308 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3990]) ).

thf(4190,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK240_SV445 @ SV308 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK240_SV445 @ SV308 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3991]) ).

thf(4191,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK240_SV445 @ SV308 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK240_SV445 @ SV308 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3992]) ).

thf(4192,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_SV418 @ SV308 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK223_SV418 @ SV308 ) ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3994]) ).

thf(4193,plain,
    ! [SV308: $i] :
      ( ( ( ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK241_SV446 @ SV308 ) )
          | ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK241_SV446 @ SV308 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3995]) ).

thf(4194,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK241_SV446 @ SV308 ) )
          | ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK241_SV446 @ SV308 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3996]) ).

thf(4203,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK224_SV420 )
      = $false )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK224_SV420 ) )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4012]) ).

thf(4204,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK242_SV447 )
        | ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK242_SV447 ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4013]) ).

thf(4205,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK242_SV447 )
        | ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK242_SV447 ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4014]) ).

thf(4310,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK225_SV426 )
      = $false )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK225_SV426 ) )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4102]) ).

thf(4311,plain,
    ( ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK243_SV452 )
        | ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK243_SV452 ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4103]) ).

thf(4312,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK243_SV452 )
        | ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK243_SV452 ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4104]) ).

thf(4373,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_SV414 @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_SV414 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4160]) ).

thf(4374,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_SV443 @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_SV443 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4161]) ).

thf(4375,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK238_SV443 @ SV307 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK238_SV443 @ SV307 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4162]) ).

thf(4376,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_SV415 @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_SV415 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4163]) ).

thf(4377,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_SV444 @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_SV444 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4164]) ).

thf(4378,plain,
    ! [SV307: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK239_SV444 @ SV307 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK239_SV444 @ SV307 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4165]) ).

thf(4411,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_SV417 @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_SV417 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4189]) ).

thf(4412,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK240_SV445 @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK240_SV445 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4190]) ).

thf(4413,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK240_SV445 @ SV308 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK240_SV445 @ SV308 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4191]) ).

thf(4414,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_SV418 @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_SV418 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4192]) ).

thf(4415,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_SV446 @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_SV446 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4193]) ).

thf(4416,plain,
    ! [SV308: $i] :
      ( ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK241_SV446 @ SV308 ) ) )
        = $true )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK241_SV446 @ SV308 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4194]) ).

thf(4429,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK224_SV420 )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK224_SV420 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4203]) ).

thf(4430,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK242_SV447 )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK242_SV447 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4204]) ).

thf(4431,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK242_SV447 ) )
      = $true )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK242_SV447 ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4205]) ).

thf(4540,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK225_SV426 )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK225_SV426 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4310]) ).

thf(4541,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK243_SV452 )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK243_SV452 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4311]) ).

thf(4542,plain,
    ( ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK243_SV452 ) )
      = $true )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK243_SV452 ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4312]) ).

thf(4595,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_SV443 @ SV307 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK238_SV443 @ SV307 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4375]) ).

thf(4596,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_SV444 @ SV307 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK239_SV444 @ SV307 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4378]) ).

thf(4621,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK240_SV445 @ SV308 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK240_SV445 @ SV308 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4413]) ).

thf(4622,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_SV446 @ SV308 ) )
        = $false )
      | ( ( ~ ( sK4_Xx
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK241_SV446 @ SV308 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4416]) ).

thf(4627,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK242_SV447 )
      = $false )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK242_SV447 ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4431]) ).

thf(4724,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK243_SV452 )
      = $false )
    | ( ( ~ ( sK4_Xx
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK243_SV452 ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4542]) ).

thf(4774,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_SV443 @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_SV443 @ SV307 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4595]) ).

thf(4775,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_SV444 @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_SV444 @ SV307 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4596]) ).

thf(4813,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK240_SV445 @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK240_SV445 @ SV308 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4621]) ).

thf(4814,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_SV446 @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_SV446 @ SV308 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4622]) ).

thf(4819,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK242_SV447 )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK242_SV447 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4627]) ).

thf(4944,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK243_SV452 )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK243_SV452 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4724]) ).

thf(7901,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3460]) ).

thf(7902,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3189]) ).

thf(7903,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3759]) ).

thf(7904,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3462]) ).

thf(7905,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK450_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK450_E @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3193]) ).

thf(7906,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK450_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK450_E @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3193]) ).

thf(7907,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK451_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK451_E @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3465]) ).

thf(7908,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK451_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK451_E @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3465]) ).

thf(7909,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK452_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK452_E @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2814]) ).

thf(7910,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK452_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK452_E @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2814]) ).

thf(7911,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK453_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK453_E @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2660]) ).

thf(7912,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK453_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK453_E @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2660]) ).

thf(7913,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3467]) ).

thf(7914,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3196]) ).

thf(7915,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3764]) ).

thf(7916,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3469]) ).

thf(7917,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK454_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK454_E @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3200]) ).

thf(7918,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK454_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK454_E @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3200]) ).

thf(7919,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK455_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK455_E @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3472]) ).

thf(7920,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK455_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK455_E @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3472]) ).

thf(7921,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK456_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK456_E @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2820]) ).

thf(7922,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK456_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK456_E @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2820]) ).

thf(7923,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK457_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK457_E @ SV307 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2663]) ).

thf(7924,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK457_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK457_E @ SV307 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2663]) ).

thf(8037,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3486]) ).

thf(8038,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3210]) ).

thf(8039,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3786]) ).

thf(8040,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3488]) ).

thf(8041,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK514_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK514_E @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3214]) ).

thf(8042,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK514_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK514_E @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3214]) ).

thf(8043,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK515_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK515_E @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3491]) ).

thf(8044,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK515_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK515_E @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3491]) ).

thf(8045,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK516_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK516_E @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2830]) ).

thf(8046,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK516_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK516_E @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2830]) ).

thf(8047,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK517_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK517_E @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2669]) ).

thf(8048,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK517_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK517_E @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2669]) ).

thf(8049,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3493]) ).

thf(8050,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3217]) ).

thf(8051,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3791]) ).

thf(8052,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3495]) ).

thf(8053,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK518_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK518_E @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3221]) ).

thf(8054,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK518_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK518_E @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3221]) ).

thf(8055,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK519_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK519_E @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3498]) ).

thf(8056,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK519_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK519_E @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3498]) ).

thf(8057,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK520_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK520_E @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2836]) ).

thf(8058,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK520_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK520_E @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2836]) ).

thf(8059,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK521_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK521_E @ SV308 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2672]) ).

thf(8060,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK521_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK521_E @ SV308 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2672]) ).

thf(8061,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true ) ),
    inference(extuni,[status(esa)],[3507]) ).

thf(8062,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true ) ),
    inference(extuni,[status(esa)],[3228]) ).

thf(8063,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false ) ),
    inference(extuni,[status(esa)],[3806]) ).

thf(8064,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false ) ),
    inference(extuni,[status(esa)],[3509]) ).

thf(8065,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK522_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK522_E )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $true ) ),
    inference(extuni,[status(esa)],[3232]) ).

thf(8066,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK522_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK522_E )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $true ) ),
    inference(extuni,[status(esa)],[3232]) ).

thf(8067,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK523_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK523_E )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $false ) ),
    inference(extuni,[status(esa)],[3512]) ).

thf(8068,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK523_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK523_E )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $false ) ),
    inference(extuni,[status(esa)],[3512]) ).

thf(8069,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK524_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK524_E )
      = $true ) ),
    inference(extuni,[status(esa)],[2846]) ).

thf(8070,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK524_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK524_E )
      = $false ) ),
    inference(extuni,[status(esa)],[2846]) ).

thf(8071,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK525_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK525_E )
      = $true ) ),
    inference(extuni,[status(esa)],[2678]) ).

thf(8072,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK525_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK525_E )
      = $false ) ),
    inference(extuni,[status(esa)],[2678]) ).

thf(8169,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true ) ),
    inference(extuni,[status(esa)],[2752]) ).

thf(8170,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true ) ),
    inference(extuni,[status(esa)],[2606]) ).

thf(8171,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false ) ),
    inference(extuni,[status(esa)],[2754]) ).

thf(8172,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false ) ),
    inference(extuni,[status(esa)],[2608]) ).

thf(8269,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true ) ),
    inference(extuni,[status(esa)],[2759]) ).

thf(8270,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true ) ),
    inference(extuni,[status(esa)],[2612]) ).

thf(8271,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false ) ),
    inference(extuni,[status(esa)],[2761]) ).

thf(8272,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false ) ),
    inference(extuni,[status(esa)],[2614]) ).

thf(8369,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true ) ),
    inference(extuni,[status(esa)],[2766]) ).

thf(8370,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true ) ),
    inference(extuni,[status(esa)],[2618]) ).

thf(8371,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false ) ),
    inference(extuni,[status(esa)],[2768]) ).

thf(8372,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false ) ),
    inference(extuni,[status(esa)],[2620]) ).

thf(8469,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true ) ),
    inference(extuni,[status(esa)],[2773]) ).

thf(8470,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true ) ),
    inference(extuni,[status(esa)],[2624]) ).

thf(8471,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false ) ),
    inference(extuni,[status(esa)],[2775]) ).

thf(8472,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false ) ),
    inference(extuni,[status(esa)],[2626]) ).

thf(8473,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true ) ),
    inference(extuni,[status(esa)],[3565]) ).

thf(8474,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true ) ),
    inference(extuni,[status(esa)],[3275]) ).

thf(8475,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false ) ),
    inference(extuni,[status(esa)],[3897]) ).

thf(8476,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false ) ),
    inference(extuni,[status(esa)],[3567]) ).

thf(8477,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK782_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK782_E )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $true ) ),
    inference(extuni,[status(esa)],[3279]) ).

thf(8478,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK782_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK782_E )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $true ) ),
    inference(extuni,[status(esa)],[3279]) ).

thf(8479,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK783_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK783_E )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $false ) ),
    inference(extuni,[status(esa)],[3570]) ).

thf(8480,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK783_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK783_E )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $false ) ),
    inference(extuni,[status(esa)],[3570]) ).

thf(8481,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK784_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK784_E )
      = $true ) ),
    inference(extuni,[status(esa)],[2888]) ).

thf(8482,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK784_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK784_E )
      = $false ) ),
    inference(extuni,[status(esa)],[2888]) ).

thf(8483,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK785_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK785_E )
      = $true ) ),
    inference(extuni,[status(esa)],[2704]) ).

thf(8484,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK785_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK785_E )
      = $false ) ),
    inference(extuni,[status(esa)],[2704]) ).

thf(8501,plain,
    ! [SV317: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true ) ),
    inference(extuni,[status(esa)],[2784]) ).

thf(8502,plain,
    ! [SV317: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true ) ),
    inference(extuni,[status(esa)],[2634]) ).

thf(8503,plain,
    ! [SV317: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false ) ),
    inference(extuni,[status(esa)],[2786]) ).

thf(8504,plain,
    ! [SV317: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false ) ),
    inference(extuni,[status(esa)],[2636]) ).

thf(8521,plain,
    ! [SV318: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true ) ),
    inference(extuni,[status(esa)],[2790]) ).

thf(8522,plain,
    ! [SV318: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true ) ),
    inference(extuni,[status(esa)],[2640]) ).

thf(8523,plain,
    ! [SV318: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false ) ),
    inference(extuni,[status(esa)],[2792]) ).

thf(8524,plain,
    ! [SV318: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false ) ),
    inference(extuni,[status(esa)],[2642]) ).

thf(8541,plain,
    ! [SV319: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true ) ),
    inference(extuni,[status(esa)],[2796]) ).

thf(8542,plain,
    ! [SV319: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true ) ),
    inference(extuni,[status(esa)],[2646]) ).

thf(8543,plain,
    ! [SV319: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false ) ),
    inference(extuni,[status(esa)],[2798]) ).

thf(8544,plain,
    ! [SV319: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false ) ),
    inference(extuni,[status(esa)],[2648]) ).

thf(8561,plain,
    ! [SV320: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true ) ),
    inference(extuni,[status(esa)],[2802]) ).

thf(8562,plain,
    ! [SV320: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true ) ),
    inference(extuni,[status(esa)],[2652]) ).

thf(8563,plain,
    ! [SV320: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false ) ),
    inference(extuni,[status(esa)],[2804]) ).

thf(8564,plain,
    ! [SV320: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false ) ),
    inference(extuni,[status(esa)],[2654]) ).

thf(8565,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_SV414 @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(sim,[status(thm)],[3960]) ).

thf(8566,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_SV414 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(sim,[status(thm)],[4373]) ).

thf(8567,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_SV443 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(sim,[status(thm)],[4374]) ).

thf(8568,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_SV443 @ SV307 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_SV321 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true ) ),
    inference(sim,[status(thm)],[4774]) ).

thf(8569,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK450_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK450_E @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $true ) ),
    inference(sim,[status(thm)],[7906]) ).

thf(8570,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK450_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK450_E @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $true ) ),
    inference(sim,[status(thm)],[7905]) ).

thf(8571,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK451_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK451_E @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $false ) ),
    inference(sim,[status(thm)],[7908]) ).

thf(8572,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK451_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK451_E @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_SV344 @ SV307 ) )
        = $false ) ),
    inference(sim,[status(thm)],[7907]) ).

thf(8573,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_SV415 @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(sim,[status(thm)],[3964]) ).

thf(8574,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_SV415 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(sim,[status(thm)],[4376]) ).

thf(8575,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_SV444 @ SV307 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(sim,[status(thm)],[4377]) ).

thf(8576,plain,
    ! [SV307: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_SV444 @ SV307 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_SV322 @ SV307 ) )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false ) ),
    inference(sim,[status(thm)],[4775]) ).

thf(8577,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK454_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK454_E @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $true ) ),
    inference(sim,[status(thm)],[7918]) ).

thf(8578,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK454_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK454_E @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $true ) ),
    inference(sim,[status(thm)],[7917]) ).

thf(8579,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK455_E @ SV307 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK455_E @ SV307 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $false ) ),
    inference(sim,[status(thm)],[7920]) ).

thf(8580,plain,
    ! [SV307: $i] :
      ( ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK455_E @ SV307 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK455_E @ SV307 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_SV345 @ SV307 ) )
        = $false ) ),
    inference(sim,[status(thm)],[7919]) ).

thf(8581,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_SV417 @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(sim,[status(thm)],[3989]) ).

thf(8582,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_SV417 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(sim,[status(thm)],[4411]) ).

thf(8583,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK240_SV445 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(sim,[status(thm)],[4412]) ).

thf(8584,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK240_SV445 @ SV308 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_SV323 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true ) ),
    inference(sim,[status(thm)],[4813]) ).

thf(8585,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK514_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK514_E @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $true ) ),
    inference(sim,[status(thm)],[8042]) ).

thf(8586,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK514_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK514_E @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $true ) ),
    inference(sim,[status(thm)],[8041]) ).

thf(8587,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK515_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK515_E @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $false ) ),
    inference(sim,[status(thm)],[8044]) ).

thf(8588,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK515_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK515_E @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_SV347 @ SV308 ) )
        = $false ) ),
    inference(sim,[status(thm)],[8043]) ).

thf(8589,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_SV418 @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(sim,[status(thm)],[3993]) ).

thf(8590,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_SV418 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(sim,[status(thm)],[4414]) ).

thf(8591,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_SV446 @ SV308 ) )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(sim,[status(thm)],[4415]) ).

thf(8592,plain,
    ! [SV308: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_SV446 @ SV308 ) )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_SV324 @ SV308 ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false ) ),
    inference(sim,[status(thm)],[4814]) ).

thf(8593,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK518_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK518_E @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $true ) ),
    inference(sim,[status(thm)],[8054]) ).

thf(8594,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK518_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK518_E @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $true ) ),
    inference(sim,[status(thm)],[8053]) ).

thf(8595,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK519_E @ SV308 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK519_E @ SV308 ) )
        = $false )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $false ) ),
    inference(sim,[status(thm)],[8056]) ).

thf(8596,plain,
    ! [SV308: $i] :
      ( ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK519_E @ SV308 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK519_E @ SV308 ) )
        = $true )
      | ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_SV348 @ SV308 ) )
        = $false ) ),
    inference(sim,[status(thm)],[8055]) ).

thf(8597,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : $true
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : $true ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : $true
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : $true ) )
      = $true ) ),
    inference(sim,[status(thm)],[115]) ).

thf(8598,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK224_SV420 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[4011]) ).

thf(8599,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK224_SV420 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[4429]) ).

thf(8600,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK242_SV447 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[4430]) ).

thf(8601,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK242_SV447 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_SV325 )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[4819]) ).

thf(8602,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK522_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK522_E )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $true ) ),
    inference(sim,[status(thm)],[8066]) ).

thf(8603,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK522_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK522_E )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $true ) ),
    inference(sim,[status(thm)],[8065]) ).

thf(8604,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK523_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK523_E )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $false ) ),
    inference(sim,[status(thm)],[8068]) ).

thf(8605,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK523_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK523_E )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK198_SV350 )
      = $false ) ),
    inference(sim,[status(thm)],[8067]) ).

thf(8606,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_SV326 @ SV309 @ SV310 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(sim,[status(thm)],[3090]) ).

thf(8607,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_SV326 @ SV309 @ SV310 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true ) ),
    inference(sim,[status(thm)],[3368]) ).

thf(8608,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_SV327 @ SV309 @ SV310 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(sim,[status(thm)],[3092]) ).

thf(8609,plain,
    ! [SV310: $i,SV309: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_SV327 @ SV309 @ SV310 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV310 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false ) ),
    inference(sim,[status(thm)],[3369]) ).

thf(8610,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_SV328 @ SV311 @ SV312 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(sim,[status(thm)],[3102]) ).

thf(8611,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_SV328 @ SV311 @ SV312 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true ) ),
    inference(sim,[status(thm)],[3381]) ).

thf(8612,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_SV329 @ SV311 @ SV312 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(sim,[status(thm)],[3104]) ).

thf(8613,plain,
    ! [SV312: $i,SV311: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_SV329 @ SV311 @ SV312 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false ) ),
    inference(sim,[status(thm)],[3382]) ).

thf(8614,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_SV330 @ SV313 @ SV314 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(sim,[status(thm)],[3114]) ).

thf(8615,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_SV330 @ SV313 @ SV314 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true ) ),
    inference(sim,[status(thm)],[3394]) ).

thf(8616,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_SV331 @ SV313 @ SV314 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(sim,[status(thm)],[3116]) ).

thf(8617,plain,
    ! [SV314: $i,SV313: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_SV331 @ SV313 @ SV314 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV313 )
        = $false ) ),
    inference(sim,[status(thm)],[3395]) ).

thf(8618,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_SV332 @ SV315 @ SV316 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(sim,[status(thm)],[3126]) ).

thf(8619,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_SV332 @ SV315 @ SV316 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true ) ),
    inference(sim,[status(thm)],[3407]) ).

thf(8620,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK184_SV333 @ SV315 @ SV316 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(sim,[status(thm)],[3128]) ).

thf(8621,plain,
    ! [SV316: $i,SV315: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK184_SV333 @ SV315 @ SV316 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV315 )
        = $false ) ),
    inference(sim,[status(thm)],[3408]) ).

thf(8622,plain,
    ( ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : $true
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : $true ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : $true
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : $true ) )
      = $false ) ),
    inference(sim,[status(thm)],[140]) ).

thf(8623,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK225_SV426 )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[4101]) ).

thf(8624,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK225_SV426 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $true )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[4540]) ).

thf(8625,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK243_SV452 )
      = $true )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[4541]) ).

thf(8626,plain,
    ( ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK243_SV452 )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK185_SV334 )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[4944]) ).

thf(8627,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK782_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK782_E )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $true ) ),
    inference(sim,[status(thm)],[8478]) ).

thf(8628,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK782_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK782_E )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $true ) ),
    inference(sim,[status(thm)],[8477]) ).

thf(8629,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK783_E )
      = $false )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK783_E )
      = $false )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $false ) ),
    inference(sim,[status(thm)],[8480]) ).

thf(8630,plain,
    ( ( ( sK6_SY11
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_X
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY13
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK783_E )
      = $true )
    | ( ( sK3_SY10
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK783_E )
      = $true )
    | ( ( sK4_Xx
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK203_SV356 )
      = $false ) ),
    inference(sim,[status(thm)],[8479]) ).

thf(8631,plain,
    ! [SV317: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_SV335 @ SV317 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[3147]) ).

thf(8632,plain,
    ! [SV317: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_SV335 @ SV317 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[3424]) ).

thf(8633,plain,
    ! [SV317: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_SV336 @ SV317 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[3149]) ).

thf(8634,plain,
    ! [SV317: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_SV336 @ SV317 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[3425]) ).

thf(8635,plain,
    ! [SV318: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_SV337 @ SV318 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[3157]) ).

thf(8636,plain,
    ! [SV318: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_SV337 @ SV318 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[3431]) ).

thf(8637,plain,
    ! [SV318: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_SV338 @ SV318 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[3159]) ).

thf(8638,plain,
    ! [SV318: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_SV338 @ SV318 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV318 )
        = $true )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[3432]) ).

thf(8639,plain,
    ! [SV319: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_SV339 @ SV319 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(sim,[status(thm)],[3167]) ).

thf(8640,plain,
    ! [SV319: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_SV339 @ SV319 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(sim,[status(thm)],[3438]) ).

thf(8641,plain,
    ! [SV319: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_SV340 @ SV319 ) )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(sim,[status(thm)],[3169]) ).

thf(8642,plain,
    ! [SV319: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_SV340 @ SV319 ) )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK1_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(sim,[status(thm)],[3439]) ).

thf(8643,plain,
    ! [SV320: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_SV341 @ SV320 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(sim,[status(thm)],[3177]) ).

thf(8644,plain,
    ! [SV320: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_SV341 @ SV320 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(sim,[status(thm)],[3445]) ).

thf(8645,plain,
    ! [SV320: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_SV342 @ SV320 ) )
        = $true )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(sim,[status(thm)],[3179]) ).

thf(8646,plain,
    ! [SV320: $i] :
      ( ( ( sK4_Xx
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_SV342 @ SV320 ) )
        = $false )
      | ( ( sK3_SY10
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK2_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK5_X
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY13
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(sim,[status(thm)],[3446]) ).

thf(8647,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[51,8646,8645,8644,8643,8642,8641,8640,8639,8638,8637,8636,8635,8634,8633,8632,8631,8630,8629,8628,8627,8626,8625,8624,8623,8622,8621,8620,8619,8618,8617,8616,8615,8614,8613,8612,8611,8610,8609,8608,8607,8606,8605,8604,8603,8602,8601,8600,8599,8598,8597,8596,8595,8594,8593,8592,8591,8590,8589,8588,8587,8586,8585,8584,8583,8582,8581,8580,8579,8578,8577,8576,8575,8574,8573,8572,8571,8570,8569,8568,8567,8566,8565,8564,8563,8562,8561,8544,8543,8542,8541,8524,8523,8522,8521,8504,8503,8502,8501,8484,8483,8482,8481,8476,8475,8474,8473,8472,8471,8470,8469,8372,8371,8370,8369,8272,8271,8270,8269,8172,8171,8170,8169,8072,8071,8070,8069,8064,8063,8062,8061,8060,8059,8058,8057,8052,8051,8050,8049,8048,8047,8046,8045,8040,8039,8038,8037,7924,7923,7922,7921,7916,7915,7914,7913,7912,7911,7910,7909,7904,7903,7902,7901,2769,2762,2755,2748,2734,2725,2720,2715,2710,2705,2699,2673,2556,2555,2554,2553,2552,2551,2550,2549,2548,2547,2546,2545,2544,2543,2542,2541,2540,2539,2538,2537,2536,2535,2534,2533,2532,2531,2530,2529,2528,2527,2526,2525,2524,2523,2522,2521,2520,2519,2518,2517,2516,2515,2514,2513,2512,2511,2510,2509,2508,2507,2506,2505,2504,2503,2502,2501,2500,2499,2498,2497,2496,2495,2494,2493,2492,2491,2490,2489,2488,2487,2486,2485,2484,2483,2482,2481,2480,2479,2478,2477,2476,2475,2474,2473,2472,2471,2470,2469,2468,2467,2466,2465,2464,2463,2462,2461,2460,2459,2458,2457,2456,2455,2454,2453,2452,2451,2450,2449,2448,2447,2446,2445,2444,2443,2442,2441,2440,2439,2438,2437,2436,2435,2434,2433,2432,2431,2430,2429,2428,2427,2426,2425,2424,2423,2422,2421,2420,2419,2418,2417,2416,2415,2414,2413,2412,2411,2410,2409,2408,2407,2406,2405,2404,2403,2402,2401,2400,2399,2398,2397,2396,2395,2394,2393,2392,2391,2390,2389,2388,2387,2386,2385,2384,2383,2382,2381,2378,2377,2376,2375,2372,2371,2370,2369,2366,2365,2364,2363,2356,2355,2354,2353,2352,2351,2350,2349,2344,2343,2342,2341,2338,2337,2336,2335,2332,2331,2330,2329,2326,2325,2324,2323,2316,2315,2314,2313,2312,2311,2310,2309,2304,2303,2302,2301,2298,2297,2296,2295,2292,2291,2290,2289,2286,2285,2284,2283,2276,2275,2274,2273,2272,2271,2270,2269,2264,2263,2262,2261,2258,2257,2256,2255,2252,2251,2250,2249,2246,2245,2244,2243,2236,2235,2234,2233,2232,2231,2230,2229,2224,2223,2222,2221,2218,2217,2216,2215,2212,2211,2210,2209,2206,2205,2204,2203,2196,2195,2194,2193,2192,2191,2190,2189,2184,2183,2182,2181,2178,2177,2176,2175,2172,2171,2170,2169,2166,2165,2164,2163,2156,2155,2154,2153,2152,2151,2150,2149,2144,2143,2142,2141,2138,2137,2136,2135,2132,2131,2130,2129,2126,2125,2124,2123,2116,2115,2114,2113,2112,2111,2110,2109,2104,2103,2102,2101,2098,2097,2096,2095,2092,2091,2090,2089,2086,2085,2084,2083,2076,2075,2074,2073,2072,2071,2070,2069,1976,1970,1969,1966,1965,1959,1953,1952,1949,1948,1942,1936,1935,1932,1931,1925,1919,1918,1915,1914,1908,1902,1901,1898,1897,1891,1885,1884,1881,1880,1874,1868,1867,1864,1863,1857,1851,1850,1847,1846,1703,1702,1692,1691,1681,1680,1670,1669,1659,1658,1648,1647,1637,1636,1626,1625,1525,1517,1509,1501,1493,1485,1477,1469,528,527,526,525,524,523,403,401,399,397,395,393,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,104,102,100,98,96,94,92,90,88,86,84,82,80,79,76,75,74,68,67,66,65,64,53]) ).

thf(8648,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[8647]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEV086^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33  % Computer : n006.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  : 600
% 0.12/0.33  % DateTime : Tue Jun 28 03:10:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  
% 0.12/0.34   No.of.Axioms: 0
% 0.12/0.34  
% 0.12/0.34   Length.of.Defs: 0
% 0.12/0.34  
% 0.12/0.34   Contains.Choice.Funs: false
% 0.12/0.34  (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).............................................................................................................................................................
% 4.46/4.67  
% 4.46/4.67  ********************************
% 4.46/4.67  *   All subproblems solved!    *
% 4.46/4.67  ********************************
% 4.46/4.67  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:8647,loop_count:0,foatp_calls:2,translation:fof_full)
% 11.26/11.44  
% 11.26/11.44  %**** Beginning of derivation protocol ****
% 11.26/11.44  % SZS output start CNFRefutation
% See solution above
% 11.26/11.46  
% 11.26/11.46  %**** End of derivation protocol ****
% 11.26/11.46  %**** no. of clauses in derivation: 2510 ****
% 11.26/11.46  %**** clause counter: 8647 ****
% 11.26/11.46  
% 11.26/11.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:8647,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------