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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SEV158^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:49:38 AM UTC 2026

% Result   : Theorem 101.55s 20.70s
% Output   : CNFRefutation 101.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   62
%            Number of leaves      :    1
% Syntax   : Number of formulae    : 2258 (  13 unt;   0 typ;   0 def)
%            Number of atoms       : 51437 (26927 equ;   0 cnn)
%            Maximal formula atoms :    6 (  22 avg)
%            Number of connectives : 41149 (2531   ~;9719   |;  20   &;28869   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 29356 (29356   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  263 ( 260 usr;  45 con; 0-2 aty)
%            Number of variables   : 32438 (28836   ^;3597   !;   5   ?;32438   :)

% 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_SY21,type,
    sK10_SY21: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

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_SY23,type,
    sK11_SY23: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

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 ).

thf(tp_sK12_SY25,type,
    sK12_SY25: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK13_SY26,type,
    sK13_SY26: ( ( $i > $o ) > ( $i > $o ) > $o ) > $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_SV52,type,
    sK14_SV52: $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_SV53,type,
    sK15_SV53: $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_SV54,type,
    sK16_SV54: $i > $i ).

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

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

thf(tp_sK172_E,type,
    sK172_E: $i > $i ).

thf(tp_sK173_E,type,
    sK173_E: $i > $i ).

thf(tp_sK174_E,type,
    sK174_E: $i > $i ).

thf(tp_sK175_E,type,
    sK175_E: $i > $i ).

thf(tp_sK176_E,type,
    sK176_E: $i > $i ).

thf(tp_sK177_E,type,
    sK177_E: $i > $i ).

thf(tp_sK178_E,type,
    sK178_E: $i > $i ).

thf(tp_sK179_E,type,
    sK179_E: $i > $i ).

thf(tp_sK17_SV55,type,
    sK17_SV55: $i > $i ).

thf(tp_sK180_E,type,
    sK180_E: $i > $i ).

thf(tp_sK181_E,type,
    sK181_E: $i > $i ).

thf(tp_sK182_E,type,
    sK182_E: $i > $i ).

thf(tp_sK183_E,type,
    sK183_E: $i > $i ).

thf(tp_sK184_E,type,
    sK184_E: $i > $i ).

thf(tp_sK185_E,type,
    sK185_E: $i > $i ).

thf(tp_sK186_E,type,
    sK186_E: $i > $i ).

thf(tp_sK187_E,type,
    sK187_E: $i > $i ).

thf(tp_sK188_E,type,
    sK188_E: $i > $i ).

thf(tp_sK189_E,type,
    sK189_E: $i > $i ).

thf(tp_sK18_SV56,type,
    sK18_SV56: $i > $i ).

thf(tp_sK190_E,type,
    sK190_E: $i > $i ).

thf(tp_sK191_E,type,
    sK191_E: $i > $i ).

thf(tp_sK192_E,type,
    sK192_E: $i > $i ).

thf(tp_sK193_E,type,
    sK193_E: $i > $i ).

thf(tp_sK194_E,type,
    sK194_E: $i > $i ).

thf(tp_sK195_E,type,
    sK195_E: $i > $i ).

thf(tp_sK196_E,type,
    sK196_E: $i > $i ).

thf(tp_sK197_E,type,
    sK197_E: $i > $i ).

thf(tp_sK198_E,type,
    sK198_E: $i > $i ).

thf(tp_sK199_E,type,
    sK199_E: $i > $i ).

thf(tp_sK19_SV57,type,
    sK19_SV57: $i ).

thf(tp_sK1_SY8,type,
    sK1_SY8: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK200_E,type,
    sK200_E: $i > $i ).

thf(tp_sK201_E,type,
    sK201_E: $i > $i ).

thf(tp_sK202_E,type,
    sK202_E: $i > $i ).

thf(tp_sK203_E,type,
    sK203_E: $i > $i ).

thf(tp_sK204_E,type,
    sK204_E: $i > $i ).

thf(tp_sK205_E,type,
    sK205_E: $i > $i ).

thf(tp_sK206_E,type,
    sK206_E: $i > $i ).

thf(tp_sK207_E,type,
    sK207_E: $i > $i ).

thf(tp_sK208_E,type,
    sK208_E: $i > $i ).

thf(tp_sK209_E,type,
    sK209_E: $i > $i ).

thf(tp_sK20_SV58,type,
    sK20_SV58: $i ).

thf(tp_sK210_E,type,
    sK210_E: $i > $i ).

thf(tp_sK211_E,type,
    sK211_E: $i > $i ).

thf(tp_sK212_E,type,
    sK212_E: $i > $i ).

thf(tp_sK213_E,type,
    sK213_E: $i > $i ).

thf(tp_sK214_E,type,
    sK214_E: $i > $i ).

thf(tp_sK215_E,type,
    sK215_E: $i > $i ).

thf(tp_sK216_E,type,
    sK216_E: $i > $i ).

thf(tp_sK217_E,type,
    sK217_E: $i > $i ).

thf(tp_sK218_E,type,
    sK218_E: $i > $i ).

thf(tp_sK219_E,type,
    sK219_E: $i > $i ).

thf(tp_sK21_SV59,type,
    sK21_SV59: $i ).

thf(tp_sK220_E,type,
    sK220_E: $i > $i ).

thf(tp_sK221_E,type,
    sK221_E: $i > $i ).

thf(tp_sK222_E,type,
    sK222_E: $i > $i ).

thf(tp_sK223_E,type,
    sK223_E: $i > $i ).

thf(tp_sK224_E,type,
    sK224_E: $i > $i ).

thf(tp_sK225_E,type,
    sK225_E: $i > $i ).

thf(tp_sK226_E,type,
    sK226_E: $i > $i ).

thf(tp_sK227_E,type,
    sK227_E: $i > $i ).

thf(tp_sK228_E,type,
    sK228_E: $i > $i ).

thf(tp_sK229_E,type,
    sK229_E: $i > $i ).

thf(tp_sK22_SV68,type,
    sK22_SV68: $i ).

thf(tp_sK230_E,type,
    sK230_E: $i > $i ).

thf(tp_sK231_E,type,
    sK231_E: $i > $i ).

thf(tp_sK232_E,type,
    sK232_E: $i > $i ).

thf(tp_sK233_E,type,
    sK233_E: $i > $i ).

thf(tp_sK234_E,type,
    sK234_E: $i > $i ).

thf(tp_sK235_E,type,
    sK235_E: $i > $i ).

thf(tp_sK236_E,type,
    sK236_E: $i > $i ).

thf(tp_sK237_E,type,
    sK237_E: $i > $i ).

thf(tp_sK238_E,type,
    sK238_E: $i > $i ).

thf(tp_sK239_E,type,
    sK239_E: $i > $i ).

thf(tp_sK23_SV71,type,
    sK23_SV71: $i > $i ).

thf(tp_sK240_E,type,
    sK240_E: $i > $i ).

thf(tp_sK241_E,type,
    sK241_E: $i > $i ).

thf(tp_sK242_E,type,
    sK242_E: $i > $i ).

thf(tp_sK243_E,type,
    sK243_E: $i > $i ).

thf(tp_sK244_E,type,
    sK244_E: $i > $i ).

thf(tp_sK245_E,type,
    sK245_E: $i > $i ).

thf(tp_sK246_E,type,
    sK246_E: $i > $i ).

thf(tp_sK247_E,type,
    sK247_E: $i > $i ).

thf(tp_sK248_E,type,
    sK248_E: $i > $i ).

thf(tp_sK249_E,type,
    sK249_E: $i > $i ).

thf(tp_sK24_SV74,type,
    sK24_SV74: $i > $i ).

thf(tp_sK250_E,type,
    sK250_E: $i > $i ).

thf(tp_sK251_E,type,
    sK251_E: $i > $i ).

thf(tp_sK252_E,type,
    sK252_E: $i ).

thf(tp_sK253_E,type,
    sK253_E: $i ).

thf(tp_sK254_E,type,
    sK254_E: $i ).

thf(tp_sK255_E,type,
    sK255_E: $i > $i ).

thf(tp_sK256_E,type,
    sK256_E: $i > $i ).

thf(tp_sK257_E,type,
    sK257_E: $i > $i ).

thf(tp_sK258_E,type,
    sK258_E: $i > $i ).

thf(tp_sK259_E,type,
    sK259_E: $i ).

thf(tp_sK25_SV77,type,
    sK25_SV77: $i > $i ).

thf(tp_sK260_E,type,
    sK260_E: $i ).

thf(tp_sK26_SV80,type,
    sK26_SV80: $i > $i ).

thf(tp_sK27_SV83,type,
    sK27_SV83: $i > $i ).

thf(tp_sK28_SV86,type,
    sK28_SV86: $i > $i ).

thf(tp_sK29_SV89,type,
    sK29_SV89: $i > $i ).

thf(tp_sK2_SY9,type,
    sK2_SY9: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK30_SV92,type,
    sK30_SV92: $i > $i ).

thf(tp_sK31_SV102,type,
    sK31_SV102: $i ).

thf(tp_sK32_SV105,type,
    sK32_SV105: $i > $i ).

thf(tp_sK33_SV107,type,
    sK33_SV107: $i > $i ).

thf(tp_sK34_SV109,type,
    sK34_SV109: $i > $i ).

thf(tp_sK35_SV111,type,
    sK35_SV111: $i > $i ).

thf(tp_sK36_SV113,type,
    sK36_SV113: $i > $i ).

thf(tp_sK37_SV115,type,
    sK37_SV115: $i > $i ).

thf(tp_sK38_SV117,type,
    sK38_SV117: $i > $i ).

thf(tp_sK39_SV119,type,
    sK39_SV119: $i > $i ).

thf(tp_sK3_SY15,type,
    sK3_SY15: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK40_SV121,type,
    sK40_SV121: $i ).

thf(tp_sK41_SV131,type,
    sK41_SV131: $i > $i ).

thf(tp_sK42_SV132,type,
    sK42_SV132: $i > $i ).

thf(tp_sK43_SV133,type,
    sK43_SV133: $i > $i ).

thf(tp_sK44_SV134,type,
    sK44_SV134: $i > $i ).

thf(tp_sK45_SV135,type,
    sK45_SV135: $i > $i ).

thf(tp_sK46_SV136,type,
    sK46_SV136: $i > $i ).

thf(tp_sK47_SV137,type,
    sK47_SV137: $i > $i ).

thf(tp_sK48_SV138,type,
    sK48_SV138: $i > $i ).

thf(tp_sK49_SV139,type,
    sK49_SV139: $i ).

thf(tp_sK4_SY17,type,
    sK4_SY17: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK50_SV141,type,
    sK50_SV141: $i ).

thf(tp_sK51_SV147,type,
    sK51_SV147: $i > $i ).

thf(tp_sK52_SV148,type,
    sK52_SV148: $i > $i ).

thf(tp_sK53_SV149,type,
    sK53_SV149: $i > $i ).

thf(tp_sK54_SV150,type,
    sK54_SV150: $i > $i ).

thf(tp_sK55_SV151,type,
    sK55_SV151: $i > $i ).

thf(tp_sK56_SV152,type,
    sK56_SV152: $i > $i ).

thf(tp_sK57_SV153,type,
    sK57_SV153: $i > $i ).

thf(tp_sK58_SV154,type,
    sK58_SV154: $i > $i ).

thf(tp_sK59_SV155,type,
    sK59_SV155: $i ).

thf(tp_sK5_SY12,type,
    sK5_SY12: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK60_SV157,type,
    sK60_SV157: $i ).

thf(tp_sK61_SV162,type,
    sK61_SV162: $i ).

thf(tp_sK62_SV204,type,
    sK62_SV204: $i > $i ).

thf(tp_sK63_SV209,type,
    sK63_SV209: $i > $i ).

thf(tp_sK64_SV214,type,
    sK64_SV214: $i > $i ).

thf(tp_sK65_SV219,type,
    sK65_SV219: $i > $i ).

thf(tp_sK66_SV224,type,
    sK66_SV224: $i > $i ).

thf(tp_sK67_SV229,type,
    sK67_SV229: $i > $i ).

thf(tp_sK68_SV234,type,
    sK68_SV234: $i > $i ).

thf(tp_sK69_SV239,type,
    sK69_SV239: $i > $i ).

thf(tp_sK6_SY18,type,
    sK6_SY18: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK70_SV240,type,
    sK70_SV240: $i ).

thf(tp_sK71_SV245,type,
    sK71_SV245: $i ).

thf(tp_sK72_SV246,type,
    sK72_SV246: $i ).

thf(tp_sK73_SV255,type,
    sK73_SV255: $i ).

thf(tp_sK74_SV256,type,
    sK74_SV256: $i ).

thf(tp_sK75_SV265,type,
    sK75_SV265: $i ).

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

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

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

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

thf(tp_sK7_SY20,type,
    sK7_SY20: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).

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

thf(tp_sK81_E,type,
    sK81_E: $i ).

thf(tp_sK82_E,type,
    sK82_E: $i ).

thf(tp_sK83_E,type,
    sK83_E: $i ).

thf(tp_sK84_E,type,
    sK84_E: $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_SY12,type,
    sK8_SY12: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

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_SY12,type,
    sK9_SY12: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

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_1_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] :
            ( ! [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(copy,[status(thm)],[4]) ).

thf(6,plain,
    ( ( ~ ~ ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
              ~ ~ ( ~ ~ ( ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 )
                        | ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
                              ( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
                                    | ~ ( SX0 @ SX2 @ SX3 ) )
                              | ( SX0 @ SX1 @ SX3 ) ) )
                  | ~ ! [SX1: $i > $o,SX2: $i > $o] :
                        ( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
                              | ~ ( SX0 @ SX2 @ SX1 ) )
                        | ! [SX3: $i] :
                            ( ( SX1 @ SX3 )
                            = ( SX2 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ~ ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
            ~ ~ ( ~ ~ ( ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 )
                      | ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
                            ( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
                                  | ~ ( SX0 @ SX2 @ SX3 ) )
                            | ( SX0 @ SX1 @ SX3 ) ) )
                | ~ ! [SX1: $i > $o,SX2: $i > $o] :
                      ( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
                            | ~ ( SX0 @ SX2 @ SX1 ) )
                      | ! [SX3: $i] :
                          ( ( SX1 @ SX3 )
                          = ( SX2 @ SX3 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[6]) ).

thf(8,plain,
    ( ( ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
          ~ ~ ( ~ ~ ( ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 )
                    | ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
                          ( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
                                | ~ ( SX0 @ SX2 @ SX3 ) )
                          | ( SX0 @ SX1 @ SX3 ) ) )
              | ~ ! [SX1: $i > $o,SX2: $i > $o] :
                    ( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
                          | ~ ( SX0 @ SX2 @ SX1 ) )
                    | ! [SX3: $i] :
                        ( ( SX1 @ SX3 )
                        = ( SX2 @ SX3 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7]) ).

thf(9,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
                    | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                          ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                                | ~ ( SV1 @ SY10 @ SY11 ) )
                          | ( SV1 @ SY9 @ SY11 ) ) )
              | ~ ! [SY12: $i > $o,SY13: $i > $o] :
                    ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                          | ~ ( SV1 @ SY13 @ SY12 ) )
                    | ! [SX3: $i] :
                        ( ( SY12 @ SX3 )
                        = ( SY13 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8]) ).

thf(10,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ~ ( ~ ~ ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
                  | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                        ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                              | ~ ( SV1 @ SY10 @ SY11 ) )
                        | ( SV1 @ SY9 @ SY11 ) ) )
            | ~ ! [SY12: $i > $o,SY13: $i > $o] :
                  ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                        | ~ ( SV1 @ SY13 @ SY12 ) )
                  | ! [SX3: $i] :
                      ( ( SY12 @ SX3 )
                      = ( SY13 @ SX3 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[9]) ).

thf(11,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ~ ~ ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
              | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                    ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                          | ~ ( SV1 @ SY10 @ SY11 ) )
                    | ( SV1 @ SY9 @ SY11 ) ) )
        | ~ ! [SY12: $i > $o,SY13: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY12 ) )
              | ! [SX3: $i] :
                  ( ( SY12 @ SX3 )
                  = ( SY13 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[10]) ).

thf(12,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
                | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                      ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                            | ~ ( SV1 @ SY10 @ SY11 ) )
                      | ( SV1 @ SY9 @ SY11 ) ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[11]) ).

thf(13,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
              | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                    ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                          | ~ ( SV1 @ SY10 @ SY11 ) )
                    | ( SV1 @ SY9 @ SY11 ) ) ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[12]) ).

thf(14,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
          | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                      | ~ ( SV1 @ SY10 @ SY11 ) )
                | ( SV1 @ SY9 @ SY11 ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[13]) ).

thf(15,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 ) )
        = $true )
      | ( ( ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                      | ~ ( SV1 @ SY10 @ SY11 ) )
                | ( SV1 @ SY9 @ SY11 ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[14]) ).

thf(16,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 ) )
        = $false )
      | ( ( ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                      | ~ ( SV1 @ SY10 @ SY11 ) )
                | ( SV1 @ SY9 @ SY11 ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[15]) ).

thf(17,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                      | ~ ( SV1 @ SY10 @ SY11 ) )
                | ( SV1 @ SY9 @ SY11 ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[16]) ).

thf(18,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                    | ~ ( SV1 @ SY10 @ SY11 ) )
              | ( SV1 @ SY9 @ SY11 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[17]) ).

thf(19,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY15: $i > $o,SY16: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ SY15 )
                    | ~ ( SV1 @ SY15 @ SY16 ) )
              | ( SV1 @ ( sK2_SY9 @ SV1 ) @ SY16 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[18]) ).

thf(20,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY17: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
                    | ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ SY17 ) )
              | ( SV1 @ ( sK2_SY9 @ SV1 ) @ SY17 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[19]) ).

thf(21,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
                | ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) )
          | ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[20]) ).

thf(22,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
                | ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(23,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(24,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
              | ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[22]) ).

thf(25,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY12: $i > $o,SY13: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY12 ) )
              | ! [SX3: $i] :
                  ( ( SY12 @ SX3 )
                  = ( SY13 @ SX3 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(26,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
          | ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(27,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY18: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ SY18 )
                    | ~ ( SV1 @ SY18 @ ( sK5_SY12 @ SV1 ) ) )
              | ! [SY19: $i] :
                  ( ( sK5_SY12 @ SV1 @ SY19 )
                  = ( SY18 @ SY19 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[25]) ).

thf(28,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(29,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(30,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) )
                | ~ ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) ) )
          | ! [SY20: $i] :
              ( ( sK5_SY12 @ SV1 @ SY20 )
              = ( sK6_SY18 @ SV1 @ SY20 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[27]) ).

thf(31,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[28]) ).

thf(32,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ( ( SY12 @ SX3 )
                    = ( SY13 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[29]) ).

thf(33,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) )
                | ~ ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[30]) ).

thf(34,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY20: $i] :
              ( ( sK5_SY12 @ SV1 @ SY20 )
              = ( sK6_SY18 @ SV1 @ SY20 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[30]) ).

thf(35,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY12: $i > $o,SY13: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY12 ) )
              | ! [SX3: $i] :
                  ( ( SY12 @ SX3 )
                  = ( SY13 @ SX3 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[31]) ).

thf(36,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY12: $i > $o,SY13: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY12 ) )
              | ! [SX3: $i] :
                  ( ( SY12 @ SX3 )
                  = ( SY13 @ SX3 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(37,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) )
              | ~ ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[33]) ).

thf(38,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
          = ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[34]) ).

thf(39,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY21: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ SY21 )
                    | ~ ( SV1 @ SY21 @ ( sK8_SY12 @ SV1 ) ) )
              | ! [SY22: $i] :
                  ( ( sK8_SY12 @ SV1 @ SY22 )
                  = ( SY21 @ SY22 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[35]) ).

thf(40,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY23: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ SY23 )
                    | ~ ( SV1 @ SY23 @ ( sK9_SY12 @ SV1 ) ) )
              | ! [SY24: $i] :
                  ( ( sK9_SY12 @ SV1 @ SY24 )
                  = ( SY23 @ SY24 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[36]) ).

thf(41,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) )
          | ~ ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[37]) ).

thf(42,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
          | ~ ( ~ ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[38]) ).

thf(43,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
          = ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[38]) ).

thf(44,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
                | ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) ) )
          | ! [SY25: $i] :
              ( ( sK8_SY12 @ SV1 @ SY25 )
              = ( sK10_SY21 @ SV1 @ SY25 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[39]) ).

thf(45,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) )
                | ~ ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) ) )
          | ! [SY26: $i] :
              ( ( sK9_SY12 @ SV1 @ SY26 )
              = ( sK11_SY23 @ SV1 @ SY26 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[40]) ).

thf(46,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[41]) ).

thf(47,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[41]) ).

thf(48,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[42]) ).

thf(49,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[42]) ).

thf(50,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
                | ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(51,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY25: $i] :
              ( ( sK8_SY12 @ SV1 @ SY25 )
              = ( sK10_SY21 @ SV1 @ SY25 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(52,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) )
                | ~ ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[45]) ).

thf(53,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY26: $i] :
              ( ( sK9_SY12 @ SV1 @ SY26 )
              = ( sK11_SY23 @ SV1 @ SY26 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[45]) ).

thf(54,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[46]) ).

thf(55,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[47]) ).

thf(56,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
          | ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[48]) ).

thf(57,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
          | ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[49]) ).

thf(58,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
              | ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[50]) ).

thf(59,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
          = ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[51]) ).

thf(60,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) )
              | ~ ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[52]) ).

thf(61,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
          = ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[53]) ).

thf(62,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $true )
      | ( ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[56]) ).

thf(63,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[57]) ).

thf(64,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
          | ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[58]) ).

thf(65,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
          | ~ ( ~ ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[59]) ).

thf(66,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
          = ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[59]) ).

thf(67,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) )
          | ~ ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[60]) ).

thf(68,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
          | ~ ( ~ ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[61]) ).

thf(69,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
          = ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[61]) ).

thf(70,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $false )
      | ( ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[63]) ).

thf(71,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[64]) ).

thf(72,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[64]) ).

thf(73,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[65]) ).

thf(74,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[65]) ).

thf(75,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[67]) ).

thf(76,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[67]) ).

thf(77,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[68]) ).

thf(78,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[68]) ).

thf(79,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $false )
      | ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(80,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[71]) ).

thf(81,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[72]) ).

thf(82,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
          | ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[73]) ).

thf(83,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
          | ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[74]) ).

thf(84,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[75]) ).

thf(85,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[76]) ).

thf(86,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
          | ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[77]) ).

thf(87,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
          | ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[78]) ).

thf(88,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $true )
      | ( ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[82]) ).

thf(89,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[83]) ).

thf(90,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $true )
      | ( ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[86]) ).

thf(91,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[87]) ).

thf(92,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $false )
      | ( ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(93,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $false )
      | ( ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[91]) ).

thf(94,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $false )
      | ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[92]) ).

thf(95,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $false )
      | ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(96,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[43:[bind(SV1,$thf( ^ [SV3: $i > $o] : ^ [SV2: $i > $o] : ( SV3 = SV2 ) ))]]) ).

thf(97,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[96]) ).

thf(98,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[54:[bind(SV1,$thf( ^ [SV5: $i > $o] : ^ [SV4: $i > $o] : ( SV5 = SV4 ) ))]]) ).

thf(99,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[98]) ).

thf(100,plain,
    ( ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[55:[bind(SV1,$thf( ^ [SV7: $i > $o] : ^ [SV6: $i > $o] : ( SV7 = SV6 ) ))]]) ).

thf(101,plain,
    ( ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[100]) ).

thf(102,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[62:[bind(SV1,$thf( ^ [SV9: $i > $o] : ^ [SV8: $i > $o] : ( SV9 = SV8 ) ))]]) ).

thf(103,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[102]) ).

thf(104,plain,
    ( ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [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(105,plain,
    ( ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[104]) ).

thf(106,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[69:[bind(SV1,$thf( ^ [SV13: $i > $o] : ^ [SV12: $i > $o] : ( SV13 = SV12 ) ))]]) ).

thf(107,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[106]) ).

thf(108,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[79:[bind(SV1,$thf( ^ [SV15: $i > $o] : ^ [SV14: $i > $o] : ( SV15 = SV14 ) ))]]) ).

thf(109,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[108]) ).

thf(110,plain,
    ( ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[80:[bind(SV1,$thf( ^ [SV17: $i > $o] : ^ [SV16: $i > $o] : ( SV17 = SV16 ) ))]]) ).

thf(111,plain,
    ( ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[110]) ).

thf(112,plain,
    ( ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[81:[bind(SV1,$thf( ^ [SV19: $i > $o] : ^ [SV18: $i > $o] : ( SV19 = SV18 ) ))]]) ).

thf(113,plain,
    ( ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[112]) ).

thf(114,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[84:[bind(SV1,$thf( ^ [SV21: $i > $o] : ^ [SV20: $i > $o] : ( SV21 = SV20 ) ))]]) ).

thf(115,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[114]) ).

thf(116,plain,
    ( ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[85:[bind(SV1,$thf( ^ [SV23: $i > $o] : ^ [SV22: $i > $o] : ( SV23 = SV22 ) ))]]) ).

thf(117,plain,
    ( ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[116]) ).

thf(118,plain,
    ( ( ( sK8_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK10_SY21
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[88:[bind(SV1,$thf( ^ [SV25: $i > $o] : ^ [SV24: $i > $o] : ( SV25 = SV24 ) ))]]) ).

thf(119,plain,
    ( ( ( sK8_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK10_SY21
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[118]) ).

thf(120,plain,
    ( ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK11_SY23
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[90:[bind(SV1,$thf( ^ [SV27: $i > $o] : ^ [SV26: $i > $o] : ( SV27 = SV26 ) ))]]) ).

thf(121,plain,
    ( ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK11_SY23
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[120]) ).

thf(122,plain,
    ( ( ( sK10_SY21
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK8_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[94:[bind(SV1,$thf( ^ [SV29: $i > $o] : ^ [SV28: $i > $o] : ( SV29 = SV28 ) ))]]) ).

thf(123,plain,
    ( ( ( sK10_SY21
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK8_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[122]) ).

thf(124,plain,
    ( ( ( sK11_SY23
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[95:[bind(SV1,$thf( ^ [SV31: $i > $o] : ^ [SV30: $i > $o] : ( SV31 = SV30 ) ))]]) ).

thf(125,plain,
    ( ( ( sK11_SY23
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[124]) ).

thf(126,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[97]) ).

thf(127,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[111]) ).

thf(128,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[113]) ).

thf(129,plain,
    ( ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[115]) ).

thf(130,plain,
    ( ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[117]) ).

thf(131,plain,
    ! [SV32: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV32 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV32 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[127]) ).

thf(132,plain,
    ! [SV33: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV33 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV33 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[128]) ).

thf(133,plain,
    ! [SV34: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV34 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV34 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[129]) ).

thf(134,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV35 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV35 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[130]) ).

thf(135,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV36 )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV36 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[99]) ).

thf(136,plain,
    ! [SV37: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV37 )
          = ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV37 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[101]) ).

thf(137,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV38 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV38 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK12_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK12_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[105]) ).

thf(138,plain,
    ! [SV39: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV39 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV39 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK13_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK13_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[107]) ).

thf(139,plain,
    ! [SV40: $i,SV41: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV40 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV40 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV41 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV41 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[111]) ).

thf(140,plain,
    ! [SV42: $i,SV43: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV42 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV42 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV43 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV43 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[113]) ).

thf(141,plain,
    ! [SV44: $i,SV45: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV45 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV45 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[115]) ).

thf(142,plain,
    ! [SV46: $i,SV47: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV46 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV46 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[117]) ).

thf(143,plain,
    ! [SV48: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV48 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV48 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[119]) ).

thf(144,plain,
    ! [SV49: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV49 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV49 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[121]) ).

thf(145,plain,
    ! [SV50: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[123]) ).

thf(146,plain,
    ! [SV51: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV51 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV51 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[125]) ).

thf(147,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[131]) ).

thf(148,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[131]) ).

thf(149,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[132]) ).

thf(150,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[132]) ).

thf(151,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[133]) ).

thf(152,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[133]) ).

thf(153,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[134]) ).

thf(154,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[134]) ).

thf(155,plain,
    ! [SV36: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[135]) ).

thf(156,plain,
    ! [SV36: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[135]) ).

thf(157,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[136]) ).

thf(158,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[136]) ).

thf(159,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK12_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK12_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[137]) ).

thf(160,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK12_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK12_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[137]) ).

thf(161,plain,
    ! [SV39: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK13_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK13_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[138]) ).

thf(162,plain,
    ! [SV39: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK13_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK13_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[138]) ).

thf(163,plain,
    ! [SV40: $i,SV41: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[139]) ).

thf(164,plain,
    ! [SV40: $i,SV41: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[139]) ).

thf(165,plain,
    ! [SV42: $i,SV43: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[140]) ).

thf(166,plain,
    ! [SV42: $i,SV43: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[140]) ).

thf(167,plain,
    ! [SV44: $i,SV45: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[141]) ).

thf(168,plain,
    ! [SV44: $i,SV45: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[141]) ).

thf(169,plain,
    ! [SV46: $i,SV47: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[142]) ).

thf(170,plain,
    ! [SV46: $i,SV47: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[142]) ).

thf(171,plain,
    ! [SV48: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[143]) ).

thf(172,plain,
    ! [SV48: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[143]) ).

thf(173,plain,
    ! [SV49: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[144]) ).

thf(174,plain,
    ! [SV49: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[144]) ).

thf(175,plain,
    ! [SV50: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[145]) ).

thf(176,plain,
    ! [SV50: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[145]) ).

thf(177,plain,
    ! [SV51: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[146]) ).

thf(178,plain,
    ! [SV51: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[146]) ).

thf(179,plain,
    ( ( ( ! [SV52: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV52 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV52 ) ) )
      = $false )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[126]) ).

thf(180,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[126]) ).

thf(181,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[148]) ).

thf(182,plain,
    ! [SV32: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[148]) ).

thf(183,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[147]) ).

thf(184,plain,
    ! [SV32: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[147]) ).

thf(185,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[150]) ).

thf(186,plain,
    ! [SV33: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[150]) ).

thf(187,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[149]) ).

thf(188,plain,
    ! [SV33: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[149]) ).

thf(189,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[152]) ).

thf(190,plain,
    ! [SV34: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[152]) ).

thf(191,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[151]) ).

thf(192,plain,
    ! [SV34: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[151]) ).

thf(193,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[154]) ).

thf(194,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[154]) ).

thf(195,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[153]) ).

thf(196,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[153]) ).

thf(197,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[97]) ).

thf(199,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV53: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV53 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV53 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[156]) ).

thf(200,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[156]) ).

thf(201,plain,
    ! [SV36: $i] :
      ( ( ( ! [SV54: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV54 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV54 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[155]) ).

thf(202,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[155]) ).

thf(203,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV55: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV55 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV55 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[158]) ).

thf(204,plain,
    ! [SV37: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[158]) ).

thf(205,plain,
    ! [SV37: $i] :
      ( ( ( ! [SV56: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV56 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV56 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[157]) ).

thf(206,plain,
    ! [SV37: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[157]) ).

thf(207,plain,
    ( ( ( ! [SV57: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV57 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV57 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[103]) ).

thf(208,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[103]) ).

thf(209,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK12_SY25
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK12_SY25
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK12_SY25
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK12_SY25
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[160]) ).

thf(211,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK12_SY25
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK12_SY25
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK12_SY25
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK12_SY25
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[159]) ).

thf(213,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK13_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK13_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK13_SY26
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK13_SY26
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[162]) ).

thf(215,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK13_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK13_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK13_SY26
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK13_SY26
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[161]) ).

thf(217,plain,
    ( ( ( ! [SV58: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV58 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV58 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[109]) ).

thf(218,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[109]) ).

thf(219,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 ) )
      = $false )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[179]) ).

thf(220,plain,
    ( ( ( ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              = ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
             != ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
             != ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[180]) ).

thf(222,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[181]) ).

thf(223,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[181]) ).

thf(224,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[183]) ).

thf(225,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[183]) ).

thf(226,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[185]) ).

thf(227,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[185]) ).

thf(228,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[187]) ).

thf(229,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[187]) ).

thf(230,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[189]) ).

thf(231,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[189]) ).

thf(232,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[191]) ).

thf(233,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[191]) ).

thf(234,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[193]) ).

thf(235,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[193]) ).

thf(236,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[195]) ).

thf(237,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[195]) ).

thf(238,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[197]) ).

thf(239,plain,
    ( ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[197]) ).

thf(242,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV53 @ SV36 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV53 @ SV36 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[199]) ).

thf(243,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV54 @ SV36 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV54 @ SV36 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[201]) ).

thf(244,plain,
    ! [SV37: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV55 @ SV37 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV55 @ SV37 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[203]) ).

thf(245,plain,
    ! [SV37: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK18_SV56 @ SV37 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK18_SV56 @ SV37 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[205]) ).

thf(246,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV57 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV57 ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[207]) ).

thf(247,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK12_SY25
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK12_SY25
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[209]) ).

thf(248,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK12_SY25
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK12_SY25
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[209]) ).

thf(249,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK12_SY25
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK12_SY25
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[211]) ).

thf(250,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK12_SY25
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK12_SY25
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[211]) ).

thf(251,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK13_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK13_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[213]) ).

thf(252,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK13_SY26
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK13_SY26
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[213]) ).

thf(253,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK13_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK13_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[215]) ).

thf(254,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK13_SY26
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK13_SY26
                    @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[215]) ).

thf(255,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK20_SV58 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK20_SV58 ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[217]) ).

thf(256,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK14_SV52 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK14_SV52 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK14_SV52 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK14_SV52 ) ) )
      = $false )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[219]) ).

thf(258,plain,
    ( ( ( ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              = ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[220]) ).

thf(259,plain,
    ( ( ( ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
             != ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
             != ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[220]) ).

thf(260,plain,
    ! [SV32: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[222]) ).

thf(261,plain,
    ! [SV32: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[223]) ).

thf(262,plain,
    ! [SV32: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[224]) ).

thf(263,plain,
    ! [SV32: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[225]) ).

thf(264,plain,
    ! [SV33: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[226]) ).

thf(265,plain,
    ! [SV33: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[227]) ).

thf(266,plain,
    ! [SV33: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[228]) ).

thf(267,plain,
    ! [SV33: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[229]) ).

thf(268,plain,
    ! [SV34: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[230]) ).

thf(269,plain,
    ! [SV34: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[231]) ).

thf(270,plain,
    ! [SV34: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[232]) ).

thf(271,plain,
    ! [SV34: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[233]) ).

thf(272,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[234]) ).

thf(273,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[235]) ).

thf(274,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[236]) ).

thf(275,plain,
    ! [SV35: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[237]) ).

thf(276,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[238]) ).

thf(277,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[239]) ).

thf(279,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV53 @ SV36 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV53 @ SV36 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV53 @ SV36 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV53 @ SV36 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[242]) ).

thf(281,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV54 @ SV36 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV54 @ SV36 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV54 @ SV36 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV54 @ SV36 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[243]) ).

thf(283,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV55 @ SV37 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV55 @ SV37 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV55 @ SV37 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV55 @ SV37 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[244]) ).

thf(285,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK18_SV56 @ SV37 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK18_SV56 @ SV37 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK18_SV56 @ SV37 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK18_SV56 @ SV37 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[245]) ).

thf(287,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV57 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV57 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV57 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV57 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[246]) ).

thf(289,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK12_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK12_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[247]) ).

thf(290,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK12_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK12_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[248]) ).

thf(291,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK12_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK12_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[249]) ).

thf(292,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK12_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK12_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[250]) ).

thf(293,plain,
    ! [SV39: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK13_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK13_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[251]) ).

thf(294,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK13_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK13_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[252]) ).

thf(295,plain,
    ! [SV39: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK13_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK13_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[253]) ).

thf(296,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK13_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK13_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[254]) ).

thf(297,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK20_SV58 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK20_SV58 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK20_SV58 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK20_SV58 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[255]) ).

thf(299,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK14_SV52 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK14_SV52 ) ) )
      = $false )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[256]) ).

thf(300,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK14_SV52 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK14_SV52 ) ) )
      = $false )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[256]) ).

thf(303,plain,
    ( ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[258]) ).

thf(304,plain,
    ( ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
         != ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[259]) ).

thf(305,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[260]) ).

thf(306,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[261]) ).

thf(307,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[262]) ).

thf(308,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[263]) ).

thf(309,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[264]) ).

thf(310,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[265]) ).

thf(311,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[266]) ).

thf(312,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[267]) ).

thf(313,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[268]) ).

thf(314,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[269]) ).

thf(315,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[270]) ).

thf(316,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[271]) ).

thf(317,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[272]) ).

thf(318,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[273]) ).

thf(319,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[274]) ).

thf(320,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[275]) ).

thf(321,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[276]) ).

thf(322,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[277]) ).

thf(325,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV53 @ SV36 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV53 @ SV36 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[279]) ).

thf(326,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV53 @ SV36 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV53 @ SV36 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[279]) ).

thf(327,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV54 @ SV36 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV54 @ SV36 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(328,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV54 @ SV36 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV54 @ SV36 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(329,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV55 @ SV37 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV55 @ SV37 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[283]) ).

thf(330,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV55 @ SV37 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV55 @ SV37 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[283]) ).

thf(331,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK18_SV56 @ SV37 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK18_SV56 @ SV37 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[285]) ).

thf(332,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK18_SV56 @ SV37 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK18_SV56 @ SV37 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[285]) ).

thf(333,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV57 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV57 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[287]) ).

thf(334,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV57 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV57 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[287]) ).

thf(335,plain,
    ! [SV38: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[289]) ).

thf(336,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK12_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK12_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[290]) ).

thf(337,plain,
    ! [SV38: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[291]) ).

thf(338,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK12_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK12_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[292]) ).

thf(339,plain,
    ! [SV39: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[293]) ).

thf(340,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK13_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK13_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[294]) ).

thf(341,plain,
    ! [SV39: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[295]) ).

thf(342,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK13_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK13_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(343,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK20_SV58 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK20_SV58 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[297]) ).

thf(344,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK20_SV58 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK20_SV58 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[297]) ).

thf(345,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 ) )
      = $true )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[299]) ).

thf(346,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK14_SV52 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK14_SV52 ) )
      = $true )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[300]) ).

thf(349,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[303]) ).

thf(350,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
       != ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[304]) ).

thf(351,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV60: $i] :
              ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV60 )
              = ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV60 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[305]) ).

thf(352,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[305]) ).

thf(353,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[306]) ).

thf(354,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV61: $i] :
              ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV61 )
              = ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV61 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[307]) ).

thf(355,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[307]) ).

thf(356,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[308]) ).

thf(357,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV62: $i] :
              ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV62 )
              = ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV62 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[309]) ).

thf(358,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[309]) ).

thf(359,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[310]) ).

thf(360,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV63: $i] :
              ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV63 )
              = ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV63 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[311]) ).

thf(361,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[311]) ).

thf(362,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[312]) ).

thf(363,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV64: $i] :
              ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV64 )
              = ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV64 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[313]) ).

thf(364,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[313]) ).

thf(365,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[314]) ).

thf(366,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV65: $i] :
              ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV65 )
              = ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV65 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[315]) ).

thf(367,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[315]) ).

thf(368,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[316]) ).

thf(369,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV66: $i] :
              ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV66 )
              = ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV66 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[317]) ).

thf(370,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[317]) ).

thf(371,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[318]) ).

thf(372,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV67: $i] :
              ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV67 )
              = ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV67 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[319]) ).

thf(373,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[319]) ).

thf(374,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[320]) ).

thf(375,plain,
    ( ( ( ! [SV68: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV68 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV68 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[321]) ).

thf(376,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[321]) ).

thf(377,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[322]) ).

thf(380,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV53 @ SV36 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV53 @ SV36 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[325]) ).

thf(381,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV53 @ SV36 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV53 @ SV36 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[326]) ).

thf(382,plain,
    ! [SV36: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV54 @ SV36 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV54 @ SV36 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[327]) ).

thf(383,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV54 @ SV36 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV54 @ SV36 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[328]) ).

thf(384,plain,
    ! [SV37: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV55 @ SV37 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV55 @ SV37 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[329]) ).

thf(385,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV55 @ SV37 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV55 @ SV37 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[330]) ).

thf(386,plain,
    ! [SV37: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK18_SV56 @ SV37 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK18_SV56 @ SV37 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[331]) ).

thf(387,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK18_SV56 @ SV37 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK18_SV56 @ SV37 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[332]) ).

thf(388,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV57 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV57 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[333]) ).

thf(389,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV57 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV57 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[334]) ).

thf(390,plain,
    ! [SV38: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK12_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[336]) ).

thf(391,plain,
    ! [SV38: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK12_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[338]) ).

thf(392,plain,
    ! [SV39: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK13_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[340]) ).

thf(393,plain,
    ! [SV39: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK13_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[342]) ).

thf(394,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK20_SV58 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK20_SV58 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[343]) ).

thf(395,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK20_SV58 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK20_SV58 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[344]) ).

thf(396,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[345]) ).

thf(397,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK14_SV52 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK14_SV52 ) )
      = $true )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[346]) ).

thf(400,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[349]) ).

thf(401,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[349]) ).

thf(402,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[350]) ).

thf(403,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(404,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV70: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[352]) ).

thf(405,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[352]) ).

thf(406,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV71: $i] :
              ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV71 )
              = ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV71 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[353]) ).

thf(407,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[353]) ).

thf(408,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(409,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV73: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[355]) ).

thf(410,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[355]) ).

thf(411,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV74: $i] :
              ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV74 )
              = ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV74 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[356]) ).

thf(412,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[356]) ).

thf(413,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(414,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV76: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV76 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV76 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[358]) ).

thf(415,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[358]) ).

thf(416,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV77: $i] :
              ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV77 )
              = ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV77 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[359]) ).

thf(417,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[359]) ).

thf(418,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(419,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV79: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV79 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV79 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[361]) ).

thf(420,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[361]) ).

thf(421,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV80: $i] :
              ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV80 )
              = ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV80 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[362]) ).

thf(422,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[362]) ).

thf(423,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(424,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV82: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[364]) ).

thf(425,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[364]) ).

thf(426,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV83: $i] :
              ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV83 )
              = ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV83 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[365]) ).

thf(427,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[365]) ).

thf(428,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(429,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV85: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[367]) ).

thf(430,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[367]) ).

thf(431,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV86: $i] :
              ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV86 )
              = ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV86 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[368]) ).

thf(432,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[368]) ).

thf(433,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(434,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV88: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV88 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV88 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[370]) ).

thf(435,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[370]) ).

thf(436,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV89: $i] :
              ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV89 )
              = ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV89 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[371]) ).

thf(437,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[371]) ).

thf(438,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(439,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV91: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV91 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV91 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[373]) ).

thf(440,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[373]) ).

thf(441,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV92: $i] :
              ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV92 )
              = ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV92 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[374]) ).

thf(442,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[374]) ).

thf(443,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK22_SV68 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK22_SV68 ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[375]) ).

thf(444,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(447,plain,
    ! [SV36: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV53 @ SV36 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV53 @ SV36 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[380]) ).

thf(448,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV53 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV53 @ SV36 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[381]) ).

thf(449,plain,
    ! [SV36: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV54 @ SV36 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV54 @ SV36 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[382]) ).

thf(450,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV54 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV54 @ SV36 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[383]) ).

thf(451,plain,
    ! [SV37: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV55 @ SV37 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV55 @ SV37 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[384]) ).

thf(452,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV55 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV55 @ SV37 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[385]) ).

thf(453,plain,
    ! [SV37: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV56 @ SV37 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV56 @ SV37 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[386]) ).

thf(454,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK18_SV56 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK18_SV56 @ SV37 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(455,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV57 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV57 )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[388]) ).

thf(456,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV57 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV57 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[389]) ).

thf(457,plain,
    ! [SV38: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[390]) ).

thf(458,plain,
    ! [SV38: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[391]) ).

thf(459,plain,
    ! [SV39: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(460,plain,
    ! [SV39: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[393]) ).

thf(461,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV58 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV58 )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[394]) ).

thf(462,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK20_SV58 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK20_SV58 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[395]) ).

thf(463,plain,
    ( ( ( ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              = ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
             != ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
             != ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[396]) ).

thf(465,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK14_SV52 ) )
      = $true )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[397]) ).

thf(468,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[400]) ).

thf(469,plain,
    ( ( ( ! [SV93: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV93 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV93 ) ) )
      = $true )
    | ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[401]) ).

thf(470,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[401]) ).

thf(471,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[402]) ).

thf(473,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV69 )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV69 ) )
          | ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV69 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV69 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[403]) ).

thf(474,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[403]) ).

thf(475,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(476,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV71 @ SV32 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV71 @ SV32 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[406]) ).

thf(477,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[407]) ).

thf(478,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 ) )
          | ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[408]) ).

thf(479,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[408]) ).

thf(480,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[409]) ).

thf(481,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV74 @ SV32 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV74 @ SV32 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[411]) ).

thf(482,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[412]) ).

thf(483,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 ) )
          | ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[413]) ).

thf(484,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[413]) ).

thf(485,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[414]) ).

thf(486,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV77 @ SV33 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV77 @ SV33 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[416]) ).

thf(487,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[417]) ).

thf(488,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV78 )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV78 ) )
          | ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV78 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV78 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[418]) ).

thf(489,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[418]) ).

thf(490,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[419]) ).

thf(491,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV80 @ SV33 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV80 @ SV33 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[421]) ).

thf(492,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[422]) ).

thf(493,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV81 )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV81 ) )
          | ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV81 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV81 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[423]) ).

thf(494,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[423]) ).

thf(495,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[424]) ).

thf(496,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV83 @ SV34 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV83 @ SV34 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[426]) ).

thf(497,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(498,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV84 )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV84 ) )
          | ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV84 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV84 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[428]) ).

thf(499,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[428]) ).

thf(500,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[429]) ).

thf(501,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV86 @ SV34 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV86 @ SV34 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[431]) ).

thf(502,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(503,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV87 )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV87 ) )
          | ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV87 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV87 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[433]) ).

thf(504,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[433]) ).

thf(505,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[434]) ).

thf(506,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV89 @ SV35 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV89 @ SV35 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[436]) ).

thf(507,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[437]) ).

thf(508,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV90 )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV90 ) )
          | ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV90 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV90 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[438]) ).

thf(509,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[438]) ).

thf(510,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[439]) ).

thf(511,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV92 @ SV35 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV92 @ SV35 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[441]) ).

thf(512,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(513,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK22_SV68 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK22_SV68 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK22_SV68 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK22_SV68 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[443]) ).

thf(515,plain,
    ( ( ( ! [SV102: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV102 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV102 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[444]) ).

thf(516,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[444]) ).

thf(519,plain,
    ! [SV36: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV53 @ SV36 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV53 @ SV36 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[448]) ).

thf(520,plain,
    ! [SV36: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV54 @ SV36 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV54 @ SV36 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(521,plain,
    ! [SV37: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV55 @ SV37 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV55 @ SV37 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[452]) ).

thf(522,plain,
    ! [SV37: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV56 @ SV37 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK18_SV56 @ SV37 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(523,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV57 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV57 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[456]) ).

thf(524,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV58 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK20_SV58 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[462]) ).

thf(525,plain,
    ( ( ( ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              = ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[463]) ).

thf(526,plain,
    ( ( ( ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
             != ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
             != ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[463]) ).

thf(527,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[465]) ).

thf(531,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[468]) ).

thf(532,plain,
    ! [SV103: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV103 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV103 ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(533,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[471]) ).

thf(534,plain,
    ( ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[471]) ).

thf(536,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV69 )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV69 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV69 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV69 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[473]) ).

thf(537,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ! [SV104: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV104 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV104 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[474]) ).

thf(538,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[474]) ).

thf(539,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[475]) ).

thf(540,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[475]) ).

thf(541,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV71 @ SV32 ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV71 @ SV32 ) ) )
          | ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV71 @ SV32 ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV71 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[476]) ).

thf(543,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV105: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV105 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[477]) ).

thf(544,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[477]) ).

thf(545,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[478]) ).

thf(546,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ! [SV106: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV106 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV106 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[479]) ).

thf(547,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[479]) ).

thf(548,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[480]) ).

thf(549,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[480]) ).

thf(550,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV74 @ SV32 ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV74 @ SV32 ) ) )
          | ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV74 @ SV32 ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV74 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[481]) ).

thf(552,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV107: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV107 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV107 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[482]) ).

thf(553,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[482]) ).

thf(554,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[483]) ).

thf(555,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ! [SV108: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV108 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV108 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[484]) ).

thf(556,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[484]) ).

thf(557,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[485]) ).

thf(558,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[485]) ).

thf(559,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV77 @ SV33 ) )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV77 @ SV33 ) ) )
          | ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV77 @ SV33 ) )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV77 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[486]) ).

thf(561,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV109: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV109 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV109 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[487]) ).

thf(562,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[487]) ).

thf(563,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV78 )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV78 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV78 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV78 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[488]) ).

thf(564,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ! [SV110: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV110 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV110 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[489]) ).

thf(565,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[489]) ).

thf(566,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[490]) ).

thf(567,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[490]) ).

thf(568,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV80 @ SV33 ) )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV80 @ SV33 ) ) )
          | ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV80 @ SV33 ) )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV80 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[491]) ).

thf(570,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV111: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV111 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV111 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[492]) ).

thf(571,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[492]) ).

thf(572,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV81 )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV81 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV81 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV81 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[493]) ).

thf(573,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ! [SV112: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV112 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV112 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[494]) ).

thf(574,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[494]) ).

thf(575,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[495]) ).

thf(576,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[495]) ).

thf(577,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV83 @ SV34 ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV83 @ SV34 ) ) )
          | ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV83 @ SV34 ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV83 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[496]) ).

thf(579,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV113: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV113 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV113 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[497]) ).

thf(580,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[497]) ).

thf(581,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV84 )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV84 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV84 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV84 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[498]) ).

thf(582,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ! [SV114: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV114 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV114 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[499]) ).

thf(583,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[499]) ).

thf(584,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV99 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV99 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[500]) ).

thf(585,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[500]) ).

thf(586,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV86 @ SV34 ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV86 @ SV34 ) ) )
          | ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV86 @ SV34 ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV86 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[501]) ).

thf(588,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV115: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV115 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV115 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[502]) ).

thf(589,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[502]) ).

thf(590,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV87 )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV87 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV87 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV87 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[503]) ).

thf(591,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ! [SV116: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[504]) ).

thf(592,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[504]) ).

thf(593,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV100 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV100 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[505]) ).

thf(594,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[505]) ).

thf(595,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV89 @ SV35 ) )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV89 @ SV35 ) ) )
          | ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV89 @ SV35 ) )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV89 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[506]) ).

thf(597,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV117: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[507]) ).

thf(598,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[507]) ).

thf(599,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV90 )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV90 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV90 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV90 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[508]) ).

thf(600,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ! [SV118: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV118 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV118 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[509]) ).

thf(601,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[509]) ).

thf(602,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[510]) ).

thf(603,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[510]) ).

thf(604,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV92 @ SV35 ) )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV92 @ SV35 ) ) )
          | ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV92 @ SV35 ) )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV92 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[511]) ).

thf(606,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV119: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[512]) ).

thf(607,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[512]) ).

thf(608,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK22_SV68 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK22_SV68 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[513]) ).

thf(609,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK22_SV68 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK22_SV68 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[513]) ).

thf(610,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK31_SV102 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK31_SV102 ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[515]) ).

thf(612,plain,
    ! [SV36: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV53 @ SV36 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV53 @ SV36 ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(613,plain,
    ! [SV36: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV54 @ SV36 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV54 @ SV36 ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[520]) ).

thf(614,plain,
    ! [SV37: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV55 @ SV37 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV55 @ SV37 ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[521]) ).

thf(615,plain,
    ! [SV37: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV56 @ SV37 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK18_SV56 @ SV37 ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[522]) ).

thf(616,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV57 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV57 )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[523]) ).

thf(617,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV58 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV58 )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[524]) ).

thf(618,plain,
    ( ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[525]) ).

thf(619,plain,
    ( ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
         != ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[526]) ).

thf(620,plain,
    ( ( ( ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              = ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
             != ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
             != ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[527]) ).

thf(627,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[531]) ).

thf(628,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[531]) ).

thf(629,plain,
    ! [SV103: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV103 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV103 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV103 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV103 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[532]) ).

thf(630,plain,
    ! [SV103: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV103 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV103 ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[532]) ).

thf(631,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[533]) ).

thf(632,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[534]) ).

thf(635,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          | ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV69 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV69 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[536]) ).

thf(636,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[537]) ).

thf(637,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[539]) ).

thf(638,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV71 @ SV32 ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV71 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[541]) ).

thf(639,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV71 @ SV32 ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV71 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[541]) ).

thf(641,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK32_SV105 @ SV32 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK32_SV105 @ SV32 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[543]) ).

thf(642,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          | ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[545]) ).

thf(643,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[546]) ).

thf(644,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[548]) ).

thf(645,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV74 @ SV32 ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV74 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[550]) ).

thf(646,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV74 @ SV32 ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV74 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[550]) ).

thf(648,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK33_SV107 @ SV32 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK33_SV107 @ SV32 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[552]) ).

thf(649,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          | ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[554]) ).

thf(650,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(651,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[557]) ).

thf(652,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV77 @ SV33 ) )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV77 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[559]) ).

thf(653,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV77 @ SV33 ) )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV77 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[559]) ).

thf(655,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK34_SV109 @ SV33 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK34_SV109 @ SV33 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[561]) ).

thf(656,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          | ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV78 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV78 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(657,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[564]) ).

thf(658,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[566]) ).

thf(659,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV80 @ SV33 ) )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV80 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[568]) ).

thf(660,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV80 @ SV33 ) )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV80 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[568]) ).

thf(662,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV111 @ SV33 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV111 @ SV33 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[570]) ).

thf(663,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          | ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV81 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV81 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[572]) ).

thf(664,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV126 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV126 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[573]) ).

thf(665,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[575]) ).

thf(666,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV83 @ SV34 ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV83 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[577]) ).

thf(667,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV83 @ SV34 ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV83 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[577]) ).

thf(669,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK36_SV113 @ SV34 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK36_SV113 @ SV34 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[579]) ).

thf(670,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          | ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV84 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV84 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[581]) ).

thf(671,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV127 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV127 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[582]) ).

thf(672,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV99 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV99 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[584]) ).

thf(673,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV86 @ SV34 ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV86 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[586]) ).

thf(674,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV86 @ SV34 ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV86 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[586]) ).

thf(676,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK37_SV115 @ SV34 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK37_SV115 @ SV34 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[588]) ).

thf(677,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          | ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV87 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV87 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[590]) ).

thf(678,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV128 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV128 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[591]) ).

thf(679,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV100 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV100 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[593]) ).

thf(680,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV89 @ SV35 ) )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV89 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[595]) ).

thf(681,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV89 @ SV35 ) )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV89 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[595]) ).

thf(683,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV117 @ SV35 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV117 @ SV35 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[597]) ).

thf(684,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          | ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV90 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV90 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[599]) ).

thf(685,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV129 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV129 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[600]) ).

thf(686,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[602]) ).

thf(687,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV92 @ SV35 ) )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV92 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[604]) ).

thf(688,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV92 @ SV35 ) )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV92 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[604]) ).

thf(690,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV119 @ SV35 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV119 @ SV35 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[606]) ).

thf(691,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK22_SV68 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK22_SV68 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[608]) ).

thf(692,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK22_SV68 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK22_SV68 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[609]) ).

thf(693,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK31_SV102 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK31_SV102 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK31_SV102 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK31_SV102 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[610]) ).

thf(696,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[618]) ).

thf(697,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
       != ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[619]) ).

thf(698,plain,
    ( ( ( ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              = ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[620]) ).

thf(699,plain,
    ( ( ( ~ ( ( ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
             != ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
            | ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
             != ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[620]) ).

thf(705,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[627]) ).

thf(706,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[628]) ).

thf(707,plain,
    ! [SV103: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV103 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV103 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV103 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV103 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[629]) ).

thf(708,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[631]) ).

thf(709,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[632]) ).

thf(711,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV69 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV69 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[635]) ).

thf(712,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV69 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV69 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[635]) ).

thf(713,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[636]) ).

thf(714,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[636]) ).

thf(715,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[637]) ).

thf(716,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV71 @ SV32 ) )
          | ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV71 @ SV32 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[638]) ).

thf(717,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV71 @ SV32 ) )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV71 @ SV32 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[639]) ).

thf(720,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK32_SV105 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK32_SV105 @ SV32 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK32_SV105 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK32_SV105 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[641]) ).

thf(722,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[642]) ).

thf(723,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[642]) ).

thf(724,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV123 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV123 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[643]) ).

thf(725,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[643]) ).

thf(726,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[644]) ).

thf(727,plain,
    ! [SV32: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV74 @ SV32 ) )
          | ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV74 @ SV32 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[645]) ).

thf(728,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV74 @ SV32 ) )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV74 @ SV32 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[646]) ).

thf(731,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK33_SV107 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK33_SV107 @ SV32 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK33_SV107 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK33_SV107 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[648]) ).

thf(733,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(734,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(735,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV124 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV124 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[650]) ).

thf(736,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[650]) ).

thf(737,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(738,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV77 @ SV33 ) )
          | ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV77 @ SV33 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[652]) ).

thf(739,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV77 @ SV33 ) )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV77 @ SV33 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[653]) ).

thf(742,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK34_SV109 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK34_SV109 @ SV33 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK34_SV109 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK34_SV109 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[655]) ).

thf(744,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV78 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV78 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[656]) ).

thf(745,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV78 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV78 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[656]) ).

thf(746,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV125 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV125 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[657]) ).

thf(747,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[657]) ).

thf(748,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[658]) ).

thf(749,plain,
    ! [SV33: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV80 @ SV33 ) )
          | ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV80 @ SV33 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[659]) ).

thf(750,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV80 @ SV33 ) )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV80 @ SV33 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[660]) ).

thf(753,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV111 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV111 @ SV33 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV111 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV111 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[662]) ).

thf(755,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV81 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV81 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[663]) ).

thf(756,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV81 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV81 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[663]) ).

thf(757,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV126 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV126 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV126 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV126 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[664]) ).

thf(758,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV126 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV126 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[664]) ).

thf(759,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[665]) ).

thf(760,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV83 @ SV34 ) )
          | ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV83 @ SV34 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[666]) ).

thf(761,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV83 @ SV34 ) )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV83 @ SV34 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[667]) ).

thf(764,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK36_SV113 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK36_SV113 @ SV34 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK36_SV113 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK36_SV113 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[669]) ).

thf(766,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV84 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV84 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[670]) ).

thf(767,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV84 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV84 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[670]) ).

thf(768,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV127 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV127 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV127 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV127 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[671]) ).

thf(769,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV127 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV127 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[671]) ).

thf(770,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[672]) ).

thf(771,plain,
    ! [SV34: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV86 @ SV34 ) )
          | ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV86 @ SV34 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[673]) ).

thf(772,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV86 @ SV34 ) )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV86 @ SV34 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[674]) ).

thf(775,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK37_SV115 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK37_SV115 @ SV34 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK37_SV115 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK37_SV115 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[676]) ).

thf(777,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV87 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV87 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(778,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV87 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV87 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(779,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV128 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV128 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV128 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV128 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[678]) ).

thf(780,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV128 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV128 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[678]) ).

thf(781,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(782,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV89 @ SV35 ) )
          | ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV89 @ SV35 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[680]) ).

thf(783,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV89 @ SV35 ) )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV89 @ SV35 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[681]) ).

thf(786,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV117 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV117 @ SV35 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV117 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV117 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[683]) ).

thf(788,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV90 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV90 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[684]) ).

thf(789,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV90 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV90 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[684]) ).

thf(790,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV129 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV129 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV129 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV129 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[685]) ).

thf(791,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV129 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV129 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[685]) ).

thf(792,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[686]) ).

thf(793,plain,
    ! [SV35: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV92 @ SV35 ) )
          | ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV92 @ SV35 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[687]) ).

thf(794,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV92 @ SV35 ) )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV92 @ SV35 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[688]) ).

thf(797,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV119 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV119 @ SV35 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV119 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV119 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[690]) ).

thf(799,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK22_SV68 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK22_SV68 )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[691]) ).

thf(800,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK22_SV68 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK22_SV68 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[692]) ).

thf(801,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK31_SV102 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK31_SV102 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[693]) ).

thf(802,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK31_SV102 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK31_SV102 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[693]) ).

thf(803,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[696]) ).

thf(804,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[696]) ).

thf(805,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[697]) ).

thf(806,plain,
    ( ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[698]) ).

thf(807,plain,
    ( ( ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
         != ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[699]) ).

thf(817,plain,
    ( ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[705]) ).

thf(818,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[706]) ).

thf(820,plain,
    ! [SV103: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV103 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV103 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV103 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV103 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[707]) ).

thf(821,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(822,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[709]) ).

thf(825,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV69 )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV69 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[711]) ).

thf(826,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV69 )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV69 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[712]) ).

thf(827,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[713]) ).

thf(828,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[715]) ).

thf(829,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[715]) ).

thf(830,plain,
    ! [SV32: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[716]) ).

thf(831,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV71 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV71 @ SV32 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[717]) ).

thf(833,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK32_SV105 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK32_SV105 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[720]) ).

thf(834,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK32_SV105 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK32_SV105 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[720]) ).

thf(835,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[722]) ).

thf(836,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[723]) ).

thf(837,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV123 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV123 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[724]) ).

thf(838,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[726]) ).

thf(839,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[726]) ).

thf(840,plain,
    ! [SV32: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[727]) ).

thf(841,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV74 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV74 @ SV32 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[728]) ).

thf(843,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK33_SV107 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK33_SV107 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[731]) ).

thf(844,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK33_SV107 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK33_SV107 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[731]) ).

thf(845,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[733]) ).

thf(846,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[734]) ).

thf(847,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV124 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV124 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[735]) ).

thf(848,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[737]) ).

thf(849,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[737]) ).

thf(850,plain,
    ! [SV33: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[738]) ).

thf(851,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV77 @ SV33 ) ) )
        = $true )
      | ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV77 @ SV33 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[739]) ).

thf(853,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK34_SV109 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK34_SV109 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[742]) ).

thf(854,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK34_SV109 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK34_SV109 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[742]) ).

thf(855,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV78 )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV78 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[744]) ).

thf(856,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV78 )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV78 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[745]) ).

thf(857,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV125 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV125 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[746]) ).

thf(858,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[748]) ).

thf(859,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[748]) ).

thf(860,plain,
    ! [SV33: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[749]) ).

thf(861,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV80 @ SV33 ) ) )
        = $true )
      | ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV80 @ SV33 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[750]) ).

thf(863,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV111 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV111 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[753]) ).

thf(864,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV111 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV111 @ SV33 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[753]) ).

thf(865,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV81 )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV81 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[755]) ).

thf(866,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV81 )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV81 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[756]) ).

thf(867,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV126 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV126 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV126 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV126 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[757]) ).

thf(868,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[759]) ).

thf(869,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[759]) ).

thf(870,plain,
    ! [SV34: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[760]) ).

thf(871,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV83 @ SV34 ) ) )
        = $true )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV83 @ SV34 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[761]) ).

thf(873,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK36_SV113 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK36_SV113 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[764]) ).

thf(874,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK36_SV113 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK36_SV113 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[764]) ).

thf(875,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV84 )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV84 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[766]) ).

thf(876,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV84 )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV84 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[767]) ).

thf(877,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV127 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV127 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV127 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV127 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[768]) ).

thf(878,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[770]) ).

thf(879,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[770]) ).

thf(880,plain,
    ! [SV34: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[771]) ).

thf(881,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV86 @ SV34 ) ) )
        = $true )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV86 @ SV34 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[772]) ).

thf(883,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK37_SV115 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK37_SV115 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[775]) ).

thf(884,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK37_SV115 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK37_SV115 @ SV34 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[775]) ).

thf(885,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV87 )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV87 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[777]) ).

thf(886,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV87 )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV87 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[778]) ).

thf(887,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV128 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV128 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV128 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV128 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[779]) ).

thf(888,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[781]) ).

thf(889,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[781]) ).

thf(890,plain,
    ! [SV35: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[782]) ).

thf(891,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV89 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV89 @ SV35 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[783]) ).

thf(893,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV117 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV117 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[786]) ).

thf(894,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV117 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV117 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[786]) ).

thf(895,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV90 )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV90 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[788]) ).

thf(896,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV90 )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV90 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[789]) ).

thf(897,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV129 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV129 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV129 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV129 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[790]) ).

thf(898,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[792]) ).

thf(899,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[792]) ).

thf(900,plain,
    ! [SV35: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[793]) ).

thf(901,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV92 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV92 @ SV35 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[794]) ).

thf(903,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV119 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV119 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[797]) ).

thf(904,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV119 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV119 @ SV35 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[797]) ).

thf(905,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK22_SV68 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK22_SV68 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[800]) ).

thf(906,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK31_SV102 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK31_SV102 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[801]) ).

thf(907,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK31_SV102 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK31_SV102 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[802]) ).

thf(908,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[803]) ).

thf(909,plain,
    ( ( ( ! [SV140: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV140 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV140 ) ) )
      = $true )
    | ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[804]) ).

thf(910,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[804]) ).

thf(911,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[805]) ).

thf(913,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[806]) ).

thf(914,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
       != ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[807]) ).

thf(922,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[817]) ).

thf(923,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[818]) ).

thf(925,plain,
    ! [SV103: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV103 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV103 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[820]) ).

thf(926,plain,
    ! [SV103: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV103 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV103 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[820]) ).

thf(927,plain,
    ( ( ( ! [SV141: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV141 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV141 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[821]) ).

thf(928,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[821]) ).

thf(929,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[822]) ).

thf(933,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV69 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[825]) ).

thf(934,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV69 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[826]) ).

thf(936,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[827]) ).

thf(937,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[828]) ).

thf(938,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[829]) ).

thf(939,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[830]) ).

thf(940,plain,
    ! [SV32: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV71 @ SV32 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[831]) ).

thf(943,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK32_SV105 @ SV32 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK32_SV105 @ SV32 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[833]) ).

thf(944,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK32_SV105 @ SV32 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK32_SV105 @ SV32 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[834]) ).

thf(946,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[835]) ).

thf(947,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[836]) ).

thf(949,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[837]) ).

thf(950,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[838]) ).

thf(951,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(952,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[840]) ).

thf(953,plain,
    ! [SV32: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV74 @ SV32 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[841]) ).

thf(956,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK33_SV107 @ SV32 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK33_SV107 @ SV32 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[843]) ).

thf(957,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK33_SV107 @ SV32 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK33_SV107 @ SV32 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[844]) ).

thf(959,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[845]) ).

thf(960,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[846]) ).

thf(962,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[847]) ).

thf(963,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[848]) ).

thf(964,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[849]) ).

thf(965,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[850]) ).

thf(966,plain,
    ! [SV33: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV77 @ SV33 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[851]) ).

thf(969,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK34_SV109 @ SV33 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK34_SV109 @ SV33 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[853]) ).

thf(970,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK34_SV109 @ SV33 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK34_SV109 @ SV33 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[854]) ).

thf(972,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV78 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[855]) ).

thf(973,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV78 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[856]) ).

thf(975,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[857]) ).

thf(976,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[858]) ).

thf(977,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[859]) ).

thf(978,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[860]) ).

thf(979,plain,
    ! [SV33: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV80 @ SV33 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[861]) ).

thf(982,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV111 @ SV33 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV111 @ SV33 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[863]) ).

thf(983,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV111 @ SV33 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV111 @ SV33 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[864]) ).

thf(985,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV81 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[865]) ).

thf(986,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV81 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[866]) ).

thf(988,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV126 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV126 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV126 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV126 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[867]) ).

thf(989,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(990,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(991,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[870]) ).

thf(992,plain,
    ! [SV34: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV83 @ SV34 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(995,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK36_SV113 @ SV34 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK36_SV113 @ SV34 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[873]) ).

thf(996,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK36_SV113 @ SV34 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK36_SV113 @ SV34 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[874]) ).

thf(998,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV84 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[875]) ).

thf(999,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV84 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[876]) ).

thf(1001,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV127 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV127 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV127 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV127 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[877]) ).

thf(1002,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(1003,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(1004,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[880]) ).

thf(1005,plain,
    ! [SV34: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV86 @ SV34 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[881]) ).

thf(1008,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK37_SV115 @ SV34 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK37_SV115 @ SV34 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[883]) ).

thf(1009,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK37_SV115 @ SV34 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK37_SV115 @ SV34 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[884]) ).

thf(1011,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV87 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[885]) ).

thf(1012,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV87 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[886]) ).

thf(1014,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV128 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV128 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV128 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV128 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[887]) ).

thf(1015,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[888]) ).

thf(1016,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[889]) ).

thf(1017,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(1018,plain,
    ! [SV35: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV89 @ SV35 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[891]) ).

thf(1021,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV117 @ SV35 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV117 @ SV35 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[893]) ).

thf(1022,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV117 @ SV35 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV117 @ SV35 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[894]) ).

thf(1024,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV90 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[895]) ).

thf(1025,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV90 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[896]) ).

thf(1027,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV129 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV129 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV129 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV129 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[897]) ).

thf(1028,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[898]) ).

thf(1029,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[899]) ).

thf(1030,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[900]) ).

thf(1031,plain,
    ! [SV35: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV92 @ SV35 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[901]) ).

thf(1034,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV119 @ SV35 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV119 @ SV35 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[903]) ).

thf(1035,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV119 @ SV35 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV119 @ SV35 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[904]) ).

thf(1036,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK22_SV68 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK22_SV68 )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[905]) ).

thf(1037,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK31_SV102 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK31_SV102 )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[906]) ).

thf(1038,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK31_SV102 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK31_SV102 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[907]) ).

thf(1039,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[908]) ).

thf(1040,plain,
    ! [SV142: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV142 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV142 ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[909]) ).

thf(1041,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[911]) ).

thf(1042,plain,
    ( ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[911]) ).

thf(1044,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[913]) ).

thf(1045,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[913]) ).

thf(1046,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[914]) ).

thf(1058,plain,
    ( ( ( ! [SV144: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV144 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV144 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[922]) ).

thf(1059,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[922]) ).

thf(1060,plain,
    ( ( ( ! [SV145: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV145 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV145 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[923]) ).

thf(1061,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[923]) ).

thf(1064,plain,
    ! [SV103: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV103 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV103 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[925]) ).

thf(1065,plain,
    ! [SV103: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV103 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV103 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[926]) ).

thf(1066,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK50_SV141 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK50_SV141 ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[927]) ).

thf(1067,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[929]) ).

thf(1071,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[933]) ).

thf(1072,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[934]) ).

thf(1074,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[936]) ).

thf(1075,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[936]) ).

thf(1077,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[937]) ).

thf(1078,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[938]) ).

thf(1080,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV147: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV147 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV147 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[939]) ).

thf(1081,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[939]) ).

thf(1082,plain,
    ! [SV32: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[940]) ).

thf(1085,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[943]) ).

thf(1086,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK32_SV105 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK32_SV105 @ SV32 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[944]) ).

thf(1088,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[946]) ).

thf(1089,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[947]) ).

thf(1091,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[949]) ).

thf(1092,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[949]) ).

thf(1094,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[950]) ).

thf(1095,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[951]) ).

thf(1097,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV148: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV148 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV148 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[952]) ).

thf(1098,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[952]) ).

thf(1099,plain,
    ! [SV32: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[953]) ).

thf(1102,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[956]) ).

thf(1103,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK33_SV107 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK33_SV107 @ SV32 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[957]) ).

thf(1105,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[959]) ).

thf(1106,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[960]) ).

thf(1108,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[962]) ).

thf(1109,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[962]) ).

thf(1111,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[963]) ).

thf(1112,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[964]) ).

thf(1114,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV149: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV149 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV149 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[965]) ).

thf(1115,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[965]) ).

thf(1116,plain,
    ! [SV33: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[966]) ).

thf(1119,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[969]) ).

thf(1120,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK34_SV109 @ SV33 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK34_SV109 @ SV33 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[970]) ).

thf(1122,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[972]) ).

thf(1123,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[973]) ).

thf(1125,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[975]) ).

thf(1126,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[975]) ).

thf(1128,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[976]) ).

thf(1129,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[977]) ).

thf(1131,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV150: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV150 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV150 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[978]) ).

thf(1132,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[978]) ).

thf(1133,plain,
    ! [SV33: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[979]) ).

thf(1136,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[982]) ).

thf(1137,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV111 @ SV33 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV111 @ SV33 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[983]) ).

thf(1139,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[985]) ).

thf(1140,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[986]) ).

thf(1142,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV126 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV126 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[988]) ).

thf(1143,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV126 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV126 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[988]) ).

thf(1145,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[989]) ).

thf(1146,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[990]) ).

thf(1148,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV151: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV151 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV151 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[991]) ).

thf(1149,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[991]) ).

thf(1150,plain,
    ! [SV34: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[992]) ).

thf(1153,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[995]) ).

thf(1154,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK36_SV113 @ SV34 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK36_SV113 @ SV34 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[996]) ).

thf(1156,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[998]) ).

thf(1157,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[999]) ).

thf(1159,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV127 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV127 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1001]) ).

thf(1160,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV127 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV127 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1001]) ).

thf(1162,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1002]) ).

thf(1163,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1003]) ).

thf(1165,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV152: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV152 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV152 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1004]) ).

thf(1166,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1004]) ).

thf(1167,plain,
    ! [SV34: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1005]) ).

thf(1170,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1008]) ).

thf(1171,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK37_SV115 @ SV34 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK37_SV115 @ SV34 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1009]) ).

thf(1173,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1011]) ).

thf(1174,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1012]) ).

thf(1176,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV128 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV128 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1014]) ).

thf(1177,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV128 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV128 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1014]) ).

thf(1179,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1015]) ).

thf(1180,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1016]) ).

thf(1182,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV153: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV153 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV153 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1017]) ).

thf(1183,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1017]) ).

thf(1184,plain,
    ! [SV35: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1018]) ).

thf(1187,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1021]) ).

thf(1188,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV117 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV117 @ SV35 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1022]) ).

thf(1190,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1024]) ).

thf(1191,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1025]) ).

thf(1193,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV129 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV129 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1027]) ).

thf(1194,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV129 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV129 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1027]) ).

thf(1196,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1028]) ).

thf(1197,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1029]) ).

thf(1199,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV154: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV154 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV154 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1030]) ).

thf(1200,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1030]) ).

thf(1201,plain,
    ! [SV35: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1031]) ).

thf(1204,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1034]) ).

thf(1205,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV119 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV119 @ SV35 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1035]) ).

thf(1206,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK31_SV102 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK31_SV102 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1038]) ).

thf(1207,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1039]) ).

thf(1208,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1039]) ).

thf(1209,plain,
    ! [SV142: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV142 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV142 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV142 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV142 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1040]) ).

thf(1210,plain,
    ! [SV142: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV142 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV142 ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1040]) ).

thf(1211,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1041]) ).

thf(1212,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1042]) ).

thf(1215,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1044]) ).

thf(1216,plain,
    ( ( ( ! [SV156: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV156 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV156 ) ) )
      = $true )
    | ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1045]) ).

thf(1217,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1045]) ).

thf(1218,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1046]) ).

thf(1232,plain,
    ! [SV159: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV159 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV159 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1058]) ).

thf(1233,plain,
    ! [SV160: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV160 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV160 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1060]) ).

thf(1236,plain,
    ! [SV103: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV103 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1064]) ).

thf(1237,plain,
    ! [SV103: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV103 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1065]) ).

thf(1239,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK50_SV141 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK50_SV141 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK50_SV141 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK50_SV141 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1066]) ).

thf(1241,plain,
    ( ( ( ! [SV162: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV162 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV162 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1067]) ).

thf(1242,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1067]) ).

thf(1247,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ! [SV164: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV164 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV164 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1071]) ).

thf(1248,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1071]) ).

thf(1249,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ! [SV165: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV165 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV165 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1072]) ).

thf(1250,plain,
    ! [SV32: $i,SV69: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1072]) ).

thf(1253,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1074]) ).

thf(1254,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1075]) ).

thf(1256,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1077]) ).

thf(1257,plain,
    ! [SV32: $i,SV94: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1078]) ).

thf(1259,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV147 @ SV32 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV147 @ SV32 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1080]) ).

thf(1260,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1082]) ).

thf(1263,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK32_SV105 @ SV32 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1086]) ).

thf(1266,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ! [SV168: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV168 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV168 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1088]) ).

thf(1267,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1088]) ).

thf(1268,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ! [SV169: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV169 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV169 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1089]) ).

thf(1269,plain,
    ! [SV32: $i,SV72: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1089]) ).

thf(1272,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1091]) ).

thf(1273,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1092]) ).

thf(1275,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1094]) ).

thf(1276,plain,
    ! [SV32: $i,SV95: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1095]) ).

thf(1278,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV148 @ SV32 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV148 @ SV32 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1097]) ).

thf(1279,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1099]) ).

thf(1282,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK33_SV107 @ SV32 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1103]) ).

thf(1285,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ! [SV172: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV172 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV172 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1105]) ).

thf(1286,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1105]) ).

thf(1287,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ! [SV173: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV173 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV173 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1106]) ).

thf(1288,plain,
    ! [SV33: $i,SV75: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1106]) ).

thf(1291,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1108]) ).

thf(1292,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1109]) ).

thf(1294,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1111]) ).

thf(1295,plain,
    ! [SV33: $i,SV96: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1112]) ).

thf(1297,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV149 @ SV33 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV149 @ SV33 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1114]) ).

thf(1298,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1116]) ).

thf(1301,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK34_SV109 @ SV33 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1120]) ).

thf(1304,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ! [SV176: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV176 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV176 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1122]) ).

thf(1305,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1122]) ).

thf(1306,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ! [SV177: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV177 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV177 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1123]) ).

thf(1307,plain,
    ! [SV33: $i,SV78: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1123]) ).

thf(1310,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1125]) ).

thf(1311,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1126]) ).

thf(1313,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1128]) ).

thf(1314,plain,
    ! [SV33: $i,SV97: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1129]) ).

thf(1316,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK54_SV150 @ SV33 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK54_SV150 @ SV33 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1131]) ).

thf(1317,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1133]) ).

thf(1320,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV111 @ SV33 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1137]) ).

thf(1323,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ! [SV180: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV180 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV180 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1139]) ).

thf(1324,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1139]) ).

thf(1325,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ! [SV181: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV181 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV181 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1140]) ).

thf(1326,plain,
    ! [SV34: $i,SV81: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1140]) ).

thf(1329,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV126 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV126 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1142]) ).

thf(1330,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV126 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV126 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1143]) ).

thf(1332,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1145]) ).

thf(1333,plain,
    ! [SV34: $i,SV98: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1146]) ).

thf(1335,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK55_SV151 @ SV34 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK55_SV151 @ SV34 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1148]) ).

thf(1336,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1150]) ).

thf(1339,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK36_SV113 @ SV34 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1154]) ).

thf(1342,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ! [SV184: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV184 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV184 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1156]) ).

thf(1343,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1156]) ).

thf(1344,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ! [SV185: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV185 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV185 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1157]) ).

thf(1345,plain,
    ! [SV34: $i,SV84: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1157]) ).

thf(1348,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV127 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV127 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1159]) ).

thf(1349,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV127 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV127 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1160]) ).

thf(1351,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1162]) ).

thf(1352,plain,
    ! [SV34: $i,SV99: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1163]) ).

thf(1354,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK56_SV152 @ SV34 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK56_SV152 @ SV34 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1165]) ).

thf(1355,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1167]) ).

thf(1358,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK37_SV115 @ SV34 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1171]) ).

thf(1361,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ! [SV188: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV188 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV188 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1173]) ).

thf(1362,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1173]) ).

thf(1363,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ! [SV189: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV189 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV189 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1174]) ).

thf(1364,plain,
    ! [SV35: $i,SV87: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1174]) ).

thf(1367,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV128 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV128 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1176]) ).

thf(1368,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV128 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV128 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1177]) ).

thf(1370,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1179]) ).

thf(1371,plain,
    ! [SV35: $i,SV100: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1180]) ).

thf(1373,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK57_SV153 @ SV35 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK57_SV153 @ SV35 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1182]) ).

thf(1374,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1184]) ).

thf(1377,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV117 @ SV35 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1188]) ).

thf(1380,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ! [SV192: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV192 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV192 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1190]) ).

thf(1381,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1190]) ).

thf(1382,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ! [SV193: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV193 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV193 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1191]) ).

thf(1383,plain,
    ! [SV35: $i,SV90: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1191]) ).

thf(1386,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV129 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV129 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1193]) ).

thf(1387,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV129 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV129 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1194]) ).

thf(1389,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1196]) ).

thf(1390,plain,
    ! [SV35: $i,SV101: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1197]) ).

thf(1392,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK58_SV154 @ SV35 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK58_SV154 @ SV35 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1199]) ).

thf(1393,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1201]) ).

thf(1396,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV119 @ SV35 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1205]) ).

thf(1397,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK31_SV102 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK31_SV102 )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1206]) ).

thf(1398,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1207]) ).

thf(1399,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1208]) ).

thf(1400,plain,
    ! [SV142: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV142 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV142 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV142 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV142 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1209]) ).

thf(1401,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1211]) ).

thf(1402,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1212]) ).

thf(1404,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1215]) ).

thf(1405,plain,
    ! [SV195: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1216]) ).

thf(1406,plain,
    ( ( ( ~ ( ( sK5_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK6_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK7_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1218]) ).

thf(1407,plain,
    ( ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1218]) ).

thf(1425,plain,
    ! [SV159: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV159 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV159 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV159 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV159 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1232]) ).

thf(1426,plain,
    ! [SV159: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV159 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV159 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1232]) ).

thf(1427,plain,
    ! [SV160: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV160 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV160 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV160 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV160 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1233]) ).

thf(1428,plain,
    ! [SV160: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV160 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV160 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1233]) ).

thf(1432,plain,
    ! [SV103: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1236]) ).

thf(1433,plain,
    ! [SV103: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1237]) ).

thf(1435,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK50_SV141 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK50_SV141 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1239]) ).

thf(1436,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK50_SV141 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK50_SV141 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1239]) ).

thf(1437,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK61_SV162 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK61_SV162 ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1241]) ).

thf(1440,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1247]) ).

thf(1441,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1249]) ).

thf(1444,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1253]) ).

thf(1445,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1254]) ).

thf(1447,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV147 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV147 @ SV32 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV147 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV147 @ SV32 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1259]) ).

thf(1449,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV204: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV204 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV204 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1260]) ).

thf(1450,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1260]) ).

thf(1453,plain,
    ! [SV32: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1263]) ).

thf(1455,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1266]) ).

thf(1456,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1268]) ).

thf(1459,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1272]) ).

thf(1460,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1273]) ).

thf(1462,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV148 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV148 @ SV32 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV148 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV148 @ SV32 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1278]) ).

thf(1464,plain,
    ! [SV32: $i] :
      ( ( ( ! [SV209: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV209 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV209 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1279]) ).

thf(1465,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1279]) ).

thf(1468,plain,
    ! [SV32: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1282]) ).

thf(1470,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1285]) ).

thf(1471,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV212 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV212 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1287]) ).

thf(1474,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1291]) ).

thf(1475,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1292]) ).

thf(1477,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV149 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV149 @ SV33 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV149 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV149 @ SV33 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1297]) ).

thf(1479,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV214: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV214 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV214 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1298]) ).

thf(1480,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1298]) ).

thf(1483,plain,
    ! [SV33: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1301]) ).

thf(1485,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV216 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV216 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1304]) ).

thf(1486,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV217 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV217 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1306]) ).

thf(1489,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1310]) ).

thf(1490,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1311]) ).

thf(1492,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK54_SV150 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK54_SV150 @ SV33 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK54_SV150 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK54_SV150 @ SV33 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1316]) ).

thf(1494,plain,
    ! [SV33: $i] :
      ( ( ( ! [SV219: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV219 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV219 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1317]) ).

thf(1495,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1317]) ).

thf(1498,plain,
    ! [SV33: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1320]) ).

thf(1500,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV221 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV221 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1323]) ).

thf(1501,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV222 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV222 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1325]) ).

thf(1504,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV126 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1329]) ).

thf(1505,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV126 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1330]) ).

thf(1507,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK55_SV151 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK55_SV151 @ SV34 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK55_SV151 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK55_SV151 @ SV34 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1335]) ).

thf(1509,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV224: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV224 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV224 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1336]) ).

thf(1510,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1336]) ).

thf(1513,plain,
    ! [SV34: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1339]) ).

thf(1515,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV226 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV226 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1342]) ).

thf(1516,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV227 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV227 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1344]) ).

thf(1519,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV127 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1348]) ).

thf(1520,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV127 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1349]) ).

thf(1522,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK56_SV152 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK56_SV152 @ SV34 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK56_SV152 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK56_SV152 @ SV34 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1354]) ).

thf(1524,plain,
    ! [SV34: $i] :
      ( ( ( ! [SV229: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV229 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV229 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1355]) ).

thf(1525,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1355]) ).

thf(1528,plain,
    ! [SV34: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1358]) ).

thf(1530,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV231 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV231 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1361]) ).

thf(1531,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV232 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV232 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1363]) ).

thf(1534,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV128 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1367]) ).

thf(1535,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV128 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1368]) ).

thf(1537,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK57_SV153 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK57_SV153 @ SV35 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK57_SV153 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK57_SV153 @ SV35 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1373]) ).

thf(1539,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV234: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV234 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV234 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1374]) ).

thf(1540,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1374]) ).

thf(1543,plain,
    ! [SV35: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1377]) ).

thf(1545,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV236 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV236 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1380]) ).

thf(1546,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV237 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV237 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1382]) ).

thf(1549,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV129 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1386]) ).

thf(1550,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV129 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1387]) ).

thf(1552,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK58_SV154 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK58_SV154 @ SV35 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK58_SV154 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK58_SV154 @ SV35 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1392]) ).

thf(1554,plain,
    ! [SV35: $i] :
      ( ( ( ! [SV239: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV239 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV239 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1393]) ).

thf(1555,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1393]) ).

thf(1558,plain,
    ! [SV35: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1396]) ).

thf(1560,plain,
    ( ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1398]) ).

thf(1561,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1399]) ).

thf(1563,plain,
    ! [SV142: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV142 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV142 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV142 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV142 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1400]) ).

thf(1564,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1401]) ).

thf(1565,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1402]) ).

thf(1568,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1404]) ).

thf(1569,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( ~ ( sK5_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK6_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK7_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1404]) ).

thf(1570,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV195 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV195 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1405]) ).

thf(1571,plain,
    ! [SV195: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1405]) ).

thf(1572,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1406]) ).

thf(1573,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1407]) ).

thf(1591,plain,
    ! [SV159: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV159 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV159 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV159 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV159 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1425]) ).

thf(1592,plain,
    ! [SV160: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV160 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV160 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV160 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV160 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1427]) ).

thf(1594,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK50_SV141 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK50_SV141 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1435]) ).

thf(1595,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK50_SV141 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK50_SV141 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1436]) ).

thf(1596,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK61_SV162 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK61_SV162 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK61_SV162 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK61_SV162 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1437]) ).

thf(1601,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV201 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV201 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1440]) ).

thf(1602,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1440]) ).

thf(1603,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV202 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV202 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1441]) ).

thf(1604,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1441]) ).

thf(1608,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1444]) ).

thf(1609,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1445]) ).

thf(1611,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV147 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV147 @ SV32 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1447]) ).

thf(1612,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV147 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV147 @ SV32 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1447]) ).

thf(1613,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK62_SV204 @ SV32 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK62_SV204 @ SV32 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1449]) ).

thf(1617,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV206 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV206 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1455]) ).

thf(1618,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1455]) ).

thf(1619,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV207 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV207 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1456]) ).

thf(1620,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1456]) ).

thf(1624,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1459]) ).

thf(1625,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1460]) ).

thf(1627,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV148 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV148 @ SV32 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1462]) ).

thf(1628,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV148 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV148 @ SV32 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1462]) ).

thf(1629,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK63_SV209 @ SV32 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK63_SV209 @ SV32 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1464]) ).

thf(1633,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV211 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV211 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1470]) ).

thf(1634,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1470]) ).

thf(1635,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV212 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV212 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV212 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV212 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1471]) ).

thf(1636,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV212 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV212 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1471]) ).

thf(1640,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1474]) ).

thf(1641,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1475]) ).

thf(1643,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV149 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV149 @ SV33 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1477]) ).

thf(1644,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV149 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV149 @ SV33 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1477]) ).

thf(1645,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK64_SV214 @ SV33 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK64_SV214 @ SV33 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1479]) ).

thf(1649,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV216 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV216 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV216 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV216 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1485]) ).

thf(1650,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV216 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV216 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1485]) ).

thf(1651,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV217 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV217 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV217 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV217 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1486]) ).

thf(1652,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV217 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV217 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1486]) ).

thf(1656,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1489]) ).

thf(1657,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1490]) ).

thf(1659,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK54_SV150 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK54_SV150 @ SV33 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1492]) ).

thf(1660,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK54_SV150 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK54_SV150 @ SV33 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1492]) ).

thf(1661,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK65_SV219 @ SV33 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK65_SV219 @ SV33 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1494]) ).

thf(1665,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV221 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV221 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV221 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV221 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1500]) ).

thf(1666,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV221 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV221 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1500]) ).

thf(1667,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV222 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV222 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV222 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV222 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1501]) ).

thf(1668,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV222 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV222 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1501]) ).

thf(1672,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1504]) ).

thf(1673,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1505]) ).

thf(1675,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK55_SV151 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK55_SV151 @ SV34 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1507]) ).

thf(1676,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK55_SV151 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK55_SV151 @ SV34 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1507]) ).

thf(1677,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK66_SV224 @ SV34 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK66_SV224 @ SV34 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1509]) ).

thf(1681,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV226 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV226 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV226 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV226 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1515]) ).

thf(1682,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV226 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV226 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1515]) ).

thf(1683,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV227 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV227 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV227 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV227 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1516]) ).

thf(1684,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV227 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV227 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1516]) ).

thf(1688,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1519]) ).

thf(1689,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1520]) ).

thf(1691,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK56_SV152 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK56_SV152 @ SV34 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1522]) ).

thf(1692,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK56_SV152 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK56_SV152 @ SV34 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1522]) ).

thf(1693,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK67_SV229 @ SV34 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK67_SV229 @ SV34 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1524]) ).

thf(1697,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV231 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV231 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV231 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV231 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1530]) ).

thf(1698,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV231 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV231 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1530]) ).

thf(1699,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV232 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV232 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV232 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV232 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1531]) ).

thf(1700,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV232 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV232 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1531]) ).

thf(1704,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1534]) ).

thf(1705,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1535]) ).

thf(1707,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK57_SV153 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK57_SV153 @ SV35 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1537]) ).

thf(1708,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK57_SV153 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK57_SV153 @ SV35 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1537]) ).

thf(1709,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK68_SV234 @ SV35 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK68_SV234 @ SV35 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1539]) ).

thf(1713,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV236 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV236 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV236 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV236 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1545]) ).

thf(1714,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV236 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV236 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1545]) ).

thf(1715,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV237 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV237 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV237 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV237 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1546]) ).

thf(1716,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV237 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV237 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1546]) ).

thf(1720,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1549]) ).

thf(1721,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1550]) ).

thf(1723,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK58_SV154 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK58_SV154 @ SV35 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1552]) ).

thf(1724,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK58_SV154 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK58_SV154 @ SV35 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1552]) ).

thf(1725,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK69_SV239 @ SV35 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK69_SV239 @ SV35 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1554]) ).

thf(1728,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1560]) ).

thf(1729,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1561]) ).

thf(1731,plain,
    ! [SV142: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV142 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV142 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1563]) ).

thf(1732,plain,
    ! [SV142: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV142 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV142 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1563]) ).

thf(1733,plain,
    ( ( ( ! [SV246: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV246 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV246 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1564]) ).

thf(1734,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1564]) ).

thf(1735,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1565]) ).

thf(1738,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1568]) ).

thf(1739,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1569]) ).

thf(1740,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV195 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV195 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1570]) ).

thf(1741,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1572]) ).

thf(1742,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1573]) ).

thf(1761,plain,
    ! [SV159: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV159 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV159 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV159 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV159 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1591]) ).

thf(1762,plain,
    ! [SV160: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV160 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV160 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV160 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV160 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1592]) ).

thf(1764,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1594]) ).

thf(1765,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK50_SV141 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK50_SV141 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1595]) ).

thf(1766,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK61_SV162 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK61_SV162 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1596]) ).

thf(1767,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK61_SV162 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK61_SV162 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1596]) ).

thf(1769,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV201 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV201 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1601]) ).

thf(1770,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV202 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV202 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1603]) ).

thf(1772,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV147 @ SV32 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV147 @ SV32 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1611]) ).

thf(1773,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV147 @ SV32 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV147 @ SV32 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1612]) ).

thf(1774,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK62_SV204 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK62_SV204 @ SV32 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK62_SV204 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK62_SV204 @ SV32 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1613]) ).

thf(1778,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV206 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV206 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1617]) ).

thf(1779,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV207 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV207 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1619]) ).

thf(1781,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV148 @ SV32 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV148 @ SV32 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1627]) ).

thf(1782,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV148 @ SV32 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV148 @ SV32 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1628]) ).

thf(1783,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK63_SV209 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK63_SV209 @ SV32 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK63_SV209 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK63_SV209 @ SV32 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1629]) ).

thf(1787,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV211 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV211 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1633]) ).

thf(1788,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV212 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV212 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV212 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV212 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1635]) ).

thf(1790,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV149 @ SV33 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV149 @ SV33 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1643]) ).

thf(1791,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV149 @ SV33 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV149 @ SV33 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1644]) ).

thf(1792,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK64_SV214 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK64_SV214 @ SV33 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK64_SV214 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK64_SV214 @ SV33 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1645]) ).

thf(1796,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV216 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV216 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV216 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV216 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1649]) ).

thf(1797,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV217 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV217 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV217 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV217 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1651]) ).

thf(1799,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK54_SV150 @ SV33 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK54_SV150 @ SV33 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1659]) ).

thf(1800,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK54_SV150 @ SV33 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK54_SV150 @ SV33 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1660]) ).

thf(1801,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK65_SV219 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK65_SV219 @ SV33 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK65_SV219 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK65_SV219 @ SV33 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1661]) ).

thf(1805,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV221 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV221 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV221 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV221 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1665]) ).

thf(1806,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV222 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV222 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV222 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV222 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1667]) ).

thf(1808,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK55_SV151 @ SV34 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK55_SV151 @ SV34 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1675]) ).

thf(1809,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK55_SV151 @ SV34 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK55_SV151 @ SV34 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1676]) ).

thf(1810,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK66_SV224 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK66_SV224 @ SV34 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK66_SV224 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK66_SV224 @ SV34 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1677]) ).

thf(1814,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV226 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV226 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV226 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV226 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1681]) ).

thf(1815,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV227 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV227 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV227 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV227 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1683]) ).

thf(1817,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK56_SV152 @ SV34 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK56_SV152 @ SV34 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1691]) ).

thf(1818,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK56_SV152 @ SV34 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK56_SV152 @ SV34 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1692]) ).

thf(1819,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK67_SV229 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK67_SV229 @ SV34 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK67_SV229 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK67_SV229 @ SV34 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1693]) ).

thf(1823,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV231 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV231 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV231 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV231 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1697]) ).

thf(1824,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV232 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV232 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV232 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV232 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1699]) ).

thf(1826,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK57_SV153 @ SV35 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK57_SV153 @ SV35 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1707]) ).

thf(1827,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK57_SV153 @ SV35 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK57_SV153 @ SV35 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1708]) ).

thf(1828,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK68_SV234 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK68_SV234 @ SV35 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK68_SV234 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK68_SV234 @ SV35 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1709]) ).

thf(1832,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV236 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV236 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV236 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1713]) ).

thf(1833,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV237 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV237 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV237 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV237 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1715]) ).

thf(1835,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK58_SV154 @ SV35 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK58_SV154 @ SV35 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1723]) ).

thf(1836,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK58_SV154 @ SV35 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK58_SV154 @ SV35 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1724]) ).

thf(1837,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK69_SV239 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK69_SV239 @ SV35 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK69_SV239 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK69_SV239 @ SV35 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1725]) ).

thf(1842,plain,
    ( ( ( ! [SV248: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV248 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV248 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1728]) ).

thf(1843,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1728]) ).

thf(1844,plain,
    ( ( ( ! [SV249: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV249 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV249 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1729]) ).

thf(1845,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1729]) ).

thf(1848,plain,
    ! [SV142: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV142 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV142 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1731]) ).

thf(1849,plain,
    ! [SV142: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV142 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV142 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1732]) ).

thf(1850,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK72_SV246 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK72_SV246 ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1733]) ).

thf(1851,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1735]) ).

thf(1855,plain,
    ( ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1738]) ).

thf(1856,plain,
    ( ( ( ~ ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1739]) ).

thf(1858,plain,
    ! [SV195: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1740]) ).

thf(1859,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1741]) ).

thf(1860,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1742]) ).

thf(1874,plain,
    ! [SV159: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV159 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV159 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1761]) ).

thf(1875,plain,
    ! [SV159: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV159 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV159 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1761]) ).

thf(1876,plain,
    ! [SV160: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV160 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV160 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1762]) ).

thf(1877,plain,
    ! [SV160: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV160 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV160 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1762]) ).

thf(1880,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK50_SV141 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1765]) ).

thf(1881,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK61_SV162 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK61_SV162 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1766]) ).

thf(1882,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK61_SV162 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK61_SV162 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1767]) ).

thf(1884,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1769]) ).

thf(1885,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV202 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1770]) ).

thf(1887,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV147 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV147 @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1772]) ).

thf(1888,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV147 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV147 @ SV32 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1773]) ).

thf(1889,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK62_SV204 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK62_SV204 @ SV32 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1774]) ).

thf(1890,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK62_SV204 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK62_SV204 @ SV32 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1774]) ).

thf(1892,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1778]) ).

thf(1893,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV207 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1779]) ).

thf(1895,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV148 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV148 @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1781]) ).

thf(1896,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV148 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV148 @ SV32 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1782]) ).

thf(1897,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK63_SV209 @ SV32 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK63_SV209 @ SV32 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1783]) ).

thf(1898,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK63_SV209 @ SV32 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK63_SV209 @ SV32 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1783]) ).

thf(1900,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1787]) ).

thf(1901,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV212 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV212 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV212 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV212 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1788]) ).

thf(1903,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV149 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV149 @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1790]) ).

thf(1904,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV149 @ SV33 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV149 @ SV33 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1791]) ).

thf(1905,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK64_SV214 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK64_SV214 @ SV33 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1792]) ).

thf(1906,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK64_SV214 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK64_SV214 @ SV33 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1792]) ).

thf(1908,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV216 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV216 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV216 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV216 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1796]) ).

thf(1909,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV217 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV217 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV217 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV217 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1797]) ).

thf(1911,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_SV150 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_SV150 @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1799]) ).

thf(1912,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK54_SV150 @ SV33 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK54_SV150 @ SV33 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1800]) ).

thf(1913,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK65_SV219 @ SV33 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK65_SV219 @ SV33 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1801]) ).

thf(1914,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK65_SV219 @ SV33 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK65_SV219 @ SV33 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1801]) ).

thf(1916,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV221 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV221 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV221 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV221 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1805]) ).

thf(1917,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV222 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV222 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV222 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV222 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1806]) ).

thf(1919,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_SV151 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_SV151 @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1808]) ).

thf(1920,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK55_SV151 @ SV34 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK55_SV151 @ SV34 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1809]) ).

thf(1921,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK66_SV224 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK66_SV224 @ SV34 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1810]) ).

thf(1922,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK66_SV224 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK66_SV224 @ SV34 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1810]) ).

thf(1924,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV226 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV226 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV226 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV226 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1814]) ).

thf(1925,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV227 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV227 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV227 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV227 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1815]) ).

thf(1927,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_SV152 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_SV152 @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1817]) ).

thf(1928,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK56_SV152 @ SV34 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK56_SV152 @ SV34 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1818]) ).

thf(1929,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK67_SV229 @ SV34 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK67_SV229 @ SV34 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1819]) ).

thf(1930,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK67_SV229 @ SV34 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK67_SV229 @ SV34 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1819]) ).

thf(1932,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV231 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV231 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV231 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV231 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1823]) ).

thf(1933,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV232 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV232 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV232 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV232 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1824]) ).

thf(1935,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_SV153 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_SV153 @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1826]) ).

thf(1936,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK57_SV153 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK57_SV153 @ SV35 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1827]) ).

thf(1937,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK68_SV234 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK68_SV234 @ SV35 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1828]) ).

thf(1938,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK68_SV234 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK68_SV234 @ SV35 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1828]) ).

thf(1940,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV236 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV236 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV236 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV236 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1832]) ).

thf(1941,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV237 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV237 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV237 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV237 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1833]) ).

thf(1943,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_SV154 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_SV154 @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1835]) ).

thf(1944,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK58_SV154 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK58_SV154 @ SV35 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1836]) ).

thf(1945,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK69_SV239 @ SV35 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK69_SV239 @ SV35 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1837]) ).

thf(1946,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK69_SV239 @ SV35 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK69_SV239 @ SV35 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1837]) ).

thf(1948,plain,
    ! [SV252: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV252 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV252 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1842]) ).

thf(1949,plain,
    ! [SV253: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV253 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV253 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1844]) ).

thf(1952,plain,
    ! [SV142: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV142 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1848]) ).

thf(1953,plain,
    ! [SV142: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV142 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1849]) ).

thf(1955,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK72_SV246 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK72_SV246 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK72_SV246 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK72_SV246 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1850]) ).

thf(1957,plain,
    ( ( ( ! [SV255: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV255 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV255 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1851]) ).

thf(1958,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1851]) ).

thf(1962,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1855]) ).

thf(1963,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1856]) ).

thf(1965,plain,
    ! [SV195: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1858]) ).

thf(1966,plain,
    ! [SV195: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 ) ) )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1858]) ).

thf(1967,plain,
    ( ( ( ! [SV256: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV256 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV256 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1859]) ).

thf(1968,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1859]) ).

thf(1969,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1860]) ).

thf(1982,plain,
    ! [SV159: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV159 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV159 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1874]) ).

thf(1983,plain,
    ! [SV159: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV159 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV159 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1875]) ).

thf(1984,plain,
    ! [SV160: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV160 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV160 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1876]) ).

thf(1985,plain,
    ! [SV160: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV160 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV160 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1877]) ).

thf(1988,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1880]) ).

thf(1989,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1881]) ).

thf(1990,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK61_SV162 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK61_SV162 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1882]) ).

thf(1993,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1884]) ).

thf(1994,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1884]) ).

thf(1995,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1885]) ).

thf(1996,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV202 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1885]) ).

thf(1999,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV147 @ SV32 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV147 @ SV32 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1888]) ).

thf(2000,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK62_SV204 @ SV32 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK62_SV204 @ SV32 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1889]) ).

thf(2001,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK62_SV204 @ SV32 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK62_SV204 @ SV32 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1890]) ).

thf(2004,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1892]) ).

thf(2005,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1892]) ).

thf(2006,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1893]) ).

thf(2007,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV207 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1893]) ).

thf(2010,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV148 @ SV32 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV148 @ SV32 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1896]) ).

thf(2011,plain,
    ! [SV32: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK63_SV209 @ SV32 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK63_SV209 @ SV32 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1897]) ).

thf(2012,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK63_SV209 @ SV32 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK63_SV209 @ SV32 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1898]) ).

thf(2015,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1900]) ).

thf(2016,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1900]) ).

thf(2017,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV212 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV212 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1901]) ).

thf(2018,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV212 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV212 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1901]) ).

thf(2021,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV149 @ SV33 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV149 @ SV33 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1904]) ).

thf(2022,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK64_SV214 @ SV33 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK64_SV214 @ SV33 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1905]) ).

thf(2023,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK64_SV214 @ SV33 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK64_SV214 @ SV33 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1906]) ).

thf(2026,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV216 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV216 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1908]) ).

thf(2027,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV216 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV216 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1908]) ).

thf(2028,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV217 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV217 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1909]) ).

thf(2029,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV217 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV217 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1909]) ).

thf(2032,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_SV150 @ SV33 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK54_SV150 @ SV33 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1912]) ).

thf(2033,plain,
    ! [SV33: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK65_SV219 @ SV33 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK65_SV219 @ SV33 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1913]) ).

thf(2034,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK65_SV219 @ SV33 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK65_SV219 @ SV33 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1914]) ).

thf(2037,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV221 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV221 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1916]) ).

thf(2038,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV221 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV221 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1916]) ).

thf(2039,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV222 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV222 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1917]) ).

thf(2040,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV222 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV222 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1917]) ).

thf(2043,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_SV151 @ SV34 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK55_SV151 @ SV34 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1920]) ).

thf(2044,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK66_SV224 @ SV34 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK66_SV224 @ SV34 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1921]) ).

thf(2045,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK66_SV224 @ SV34 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK66_SV224 @ SV34 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1922]) ).

thf(2048,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV226 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV226 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1924]) ).

thf(2049,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV226 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV226 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1924]) ).

thf(2050,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV227 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV227 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1925]) ).

thf(2051,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV227 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV227 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1925]) ).

thf(2054,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_SV152 @ SV34 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK56_SV152 @ SV34 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1928]) ).

thf(2055,plain,
    ! [SV34: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK67_SV229 @ SV34 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK67_SV229 @ SV34 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1929]) ).

thf(2056,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK67_SV229 @ SV34 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK67_SV229 @ SV34 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1930]) ).

thf(2059,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV231 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV231 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1932]) ).

thf(2060,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV231 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV231 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1932]) ).

thf(2061,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV232 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV232 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1933]) ).

thf(2062,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV232 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV232 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1933]) ).

thf(2065,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_SV153 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK57_SV153 @ SV35 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1936]) ).

thf(2066,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK68_SV234 @ SV35 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK68_SV234 @ SV35 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1937]) ).

thf(2067,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK68_SV234 @ SV35 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK68_SV234 @ SV35 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1938]) ).

thf(2070,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV236 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV236 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1940]) ).

thf(2071,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV236 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV236 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1940]) ).

thf(2072,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV237 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV237 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1941]) ).

thf(2073,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV237 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV237 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1941]) ).

thf(2076,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_SV154 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK58_SV154 @ SV35 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1944]) ).

thf(2077,plain,
    ! [SV35: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK69_SV239 @ SV35 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK69_SV239 @ SV35 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1945]) ).

thf(2078,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK69_SV239 @ SV35 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK69_SV239 @ SV35 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1946]) ).

thf(2081,plain,
    ! [SV252: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV252 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV252 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV252 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV252 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1948]) ).

thf(2082,plain,
    ! [SV252: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV252 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV252 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1948]) ).

thf(2083,plain,
    ! [SV253: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV253 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV253 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV253 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV253 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1949]) ).

thf(2084,plain,
    ! [SV253: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV253 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV253 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1949]) ).

thf(2088,plain,
    ! [SV142: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1952]) ).

thf(2089,plain,
    ! [SV142: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1953]) ).

thf(2091,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK72_SV246 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK72_SV246 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1955]) ).

thf(2092,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK72_SV246 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK72_SV246 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1955]) ).

thf(2093,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK73_SV255 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK73_SV255 ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1957]) ).

thf(2097,plain,
    ( ( ( ! [SV258: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV258 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV258 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1962]) ).

thf(2098,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1962]) ).

thf(2099,plain,
    ( ( ( ! [SV259: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV259 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV259 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1963]) ).

thf(2100,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1963]) ).

thf(2103,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1965]) ).

thf(2104,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1966]) ).

thf(2105,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK74_SV256 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK74_SV256 ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1967]) ).

thf(2106,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1969]) ).

thf(2125,plain,
    ! [SV159: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV159 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1982]) ).

thf(2126,plain,
    ! [SV159: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV159 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1983]) ).

thf(2129,plain,
    ! [SV160: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV160 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1984]) ).

thf(2130,plain,
    ! [SV160: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV160 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1985]) ).

thf(2136,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK61_SV162 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1990]) ).

thf(2139,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1993]) ).

thf(2140,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1994]) ).

thf(2141,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1995]) ).

thf(2142,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1996]) ).

thf(2145,plain,
    ! [SV32: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV147 @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV147 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1999]) ).

thf(2146,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_SV204 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_SV204 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2000]) ).

thf(2147,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK62_SV204 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK62_SV204 @ SV32 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2001]) ).

thf(2150,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2004]) ).

thf(2151,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2005]) ).

thf(2152,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2006]) ).

thf(2153,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2007]) ).

thf(2156,plain,
    ! [SV32: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV148 @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV148 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2010]) ).

thf(2157,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_SV209 @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_SV209 @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2011]) ).

thf(2158,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK63_SV209 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK63_SV209 @ SV32 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2012]) ).

thf(2161,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2015]) ).

thf(2162,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2016]) ).

thf(2163,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV212 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV212 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2017]) ).

thf(2164,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV212 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV212 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2018]) ).

thf(2167,plain,
    ! [SV33: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV149 @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV149 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2021]) ).

thf(2168,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_SV214 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_SV214 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2022]) ).

thf(2169,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK64_SV214 @ SV33 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK64_SV214 @ SV33 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2023]) ).

thf(2172,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV216 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV216 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2026]) ).

thf(2173,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV216 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV216 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2027]) ).

thf(2174,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV217 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV217 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2028]) ).

thf(2175,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV217 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV217 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2029]) ).

thf(2178,plain,
    ! [SV33: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_SV150 @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_SV150 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2032]) ).

thf(2179,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_SV219 @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_SV219 @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2033]) ).

thf(2180,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK65_SV219 @ SV33 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK65_SV219 @ SV33 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2034]) ).

thf(2183,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV221 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV221 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2037]) ).

thf(2184,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV221 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV221 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2038]) ).

thf(2185,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV222 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV222 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2039]) ).

thf(2186,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV222 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV222 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2040]) ).

thf(2189,plain,
    ! [SV34: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_SV151 @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_SV151 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2043]) ).

thf(2190,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_SV224 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_SV224 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2044]) ).

thf(2191,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK66_SV224 @ SV34 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK66_SV224 @ SV34 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2045]) ).

thf(2194,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV226 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV226 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2048]) ).

thf(2195,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV226 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV226 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2049]) ).

thf(2196,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV227 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV227 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2050]) ).

thf(2197,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV227 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV227 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2051]) ).

thf(2200,plain,
    ! [SV34: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_SV152 @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_SV152 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2054]) ).

thf(2201,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_SV229 @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_SV229 @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2055]) ).

thf(2202,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK67_SV229 @ SV34 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK67_SV229 @ SV34 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2056]) ).

thf(2205,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV231 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV231 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2059]) ).

thf(2206,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV231 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV231 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2060]) ).

thf(2207,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV232 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV232 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2061]) ).

thf(2208,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV232 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV232 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2062]) ).

thf(2211,plain,
    ! [SV35: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_SV153 @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_SV153 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2065]) ).

thf(2212,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_SV234 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_SV234 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2066]) ).

thf(2213,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK68_SV234 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK68_SV234 @ SV35 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2067]) ).

thf(2216,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV236 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV236 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2070]) ).

thf(2217,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV236 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV236 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2071]) ).

thf(2218,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV237 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV237 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2072]) ).

thf(2219,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV237 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV237 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2073]) ).

thf(2222,plain,
    ! [SV35: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_SV154 @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_SV154 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2076]) ).

thf(2223,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_SV239 @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_SV239 @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2077]) ).

thf(2224,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK69_SV239 @ SV35 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK69_SV239 @ SV35 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2078]) ).

thf(2226,plain,
    ! [SV252: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV252 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV252 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV252 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV252 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2081]) ).

thf(2227,plain,
    ! [SV253: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV253 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV253 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV253 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV253 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2083]) ).

thf(2229,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK72_SV246 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK72_SV246 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2091]) ).

thf(2230,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK72_SV246 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK72_SV246 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2092]) ).

thf(2231,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK73_SV255 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK73_SV255 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK73_SV255 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK73_SV255 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2093]) ).

thf(2235,plain,
    ! [SV262: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV262 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV262 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2097]) ).

thf(2236,plain,
    ! [SV263: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV263 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV263 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2099]) ).

thf(2239,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2103]) ).

thf(2240,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2104]) ).

thf(2242,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK74_SV256 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK74_SV256 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK74_SV256 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK74_SV256 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2105]) ).

thf(2244,plain,
    ( ( ( ! [SV265: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV265 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV265 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2106]) ).

thf(2245,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2106]) ).

thf(2264,plain,
    ! [SV159: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2125]) ).

thf(2265,plain,
    ! [SV159: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2126]) ).

thf(2268,plain,
    ! [SV160: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2129]) ).

thf(2269,plain,
    ! [SV160: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2130]) ).

thf(2275,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2136]) ).

thf(2281,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2139]) ).

thf(2282,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2140]) ).

thf(2285,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2141]) ).

thf(2286,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV202 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2142]) ).

thf(2292,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_SV204 @ SV32 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK62_SV204 @ SV32 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2147]) ).

thf(2298,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2150]) ).

thf(2299,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2151]) ).

thf(2302,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2152]) ).

thf(2303,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV207 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2153]) ).

thf(2309,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_SV209 @ SV32 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK63_SV209 @ SV32 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2158]) ).

thf(2315,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2161]) ).

thf(2316,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2162]) ).

thf(2319,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV212 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2163]) ).

thf(2320,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV212 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2164]) ).

thf(2326,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_SV214 @ SV33 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK64_SV214 @ SV33 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2169]) ).

thf(2332,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV216 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2172]) ).

thf(2333,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV216 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2173]) ).

thf(2336,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV217 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2174]) ).

thf(2337,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV217 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2175]) ).

thf(2343,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_SV219 @ SV33 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK65_SV219 @ SV33 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2180]) ).

thf(2349,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV221 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2183]) ).

thf(2350,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV221 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2184]) ).

thf(2353,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV222 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2185]) ).

thf(2354,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV222 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2186]) ).

thf(2360,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_SV224 @ SV34 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK66_SV224 @ SV34 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2191]) ).

thf(2366,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV226 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2194]) ).

thf(2367,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV226 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2195]) ).

thf(2370,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV227 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2196]) ).

thf(2371,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV227 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2197]) ).

thf(2377,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_SV229 @ SV34 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK67_SV229 @ SV34 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2202]) ).

thf(2383,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV231 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2205]) ).

thf(2384,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV231 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2206]) ).

thf(2387,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV232 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2207]) ).

thf(2388,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV232 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2208]) ).

thf(2394,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_SV234 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK68_SV234 @ SV35 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2213]) ).

thf(2400,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV236 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2216]) ).

thf(2401,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV236 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2217]) ).

thf(2404,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV237 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2218]) ).

thf(2405,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV237 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2219]) ).

thf(2411,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_SV239 @ SV35 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK69_SV239 @ SV35 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2224]) ).

thf(2413,plain,
    ! [SV252: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV252 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV252 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV252 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV252 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2226]) ).

thf(2414,plain,
    ! [SV253: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV253 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV253 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV253 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV253 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2227]) ).

thf(2416,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK72_SV246 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK72_SV246 )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2229]) ).

thf(2417,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK72_SV246 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK72_SV246 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2230]) ).

thf(2418,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK73_SV255 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK73_SV255 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2231]) ).

thf(2419,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK73_SV255 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK73_SV255 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2231]) ).

thf(2422,plain,
    ! [SV262: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV262 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV262 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV262 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV262 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2235]) ).

thf(2423,plain,
    ! [SV262: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV262 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV262 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2235]) ).

thf(2424,plain,
    ! [SV263: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV263 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV263 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV263 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV263 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2236]) ).

thf(2425,plain,
    ! [SV263: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV263 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV263 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2236]) ).

thf(2429,plain,
    ! [SV195: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2239]) ).

thf(2430,plain,
    ! [SV195: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2240]) ).

thf(2432,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK74_SV256 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK74_SV256 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2242]) ).

thf(2433,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK74_SV256 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK74_SV256 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2242]) ).

thf(2434,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK75_SV265 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK75_SV265 ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2244]) ).

thf(2458,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2281]) ).

thf(2459,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2282]) ).

thf(2462,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2285]) ).

thf(2463,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2286]) ).

thf(2469,plain,
    ! [SV32: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_SV204 @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_SV204 @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2292]) ).

thf(2475,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2298]) ).

thf(2476,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2299]) ).

thf(2479,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2302]) ).

thf(2480,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2303]) ).

thf(2486,plain,
    ! [SV32: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_SV209 @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_SV209 @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2309]) ).

thf(2492,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2315]) ).

thf(2493,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2316]) ).

thf(2496,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2319]) ).

thf(2497,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2320]) ).

thf(2503,plain,
    ! [SV33: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_SV214 @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_SV214 @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2326]) ).

thf(2509,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2332]) ).

thf(2510,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2333]) ).

thf(2513,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2336]) ).

thf(2514,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2337]) ).

thf(2520,plain,
    ! [SV33: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_SV219 @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_SV219 @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2343]) ).

thf(2526,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2349]) ).

thf(2527,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2350]) ).

thf(2530,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2353]) ).

thf(2531,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2354]) ).

thf(2537,plain,
    ! [SV34: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_SV224 @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_SV224 @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2360]) ).

thf(2543,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2366]) ).

thf(2544,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2367]) ).

thf(2547,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2370]) ).

thf(2548,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2371]) ).

thf(2554,plain,
    ! [SV34: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_SV229 @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_SV229 @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2377]) ).

thf(2560,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2383]) ).

thf(2561,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2384]) ).

thf(2564,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2387]) ).

thf(2565,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2388]) ).

thf(2571,plain,
    ! [SV35: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_SV234 @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_SV234 @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2394]) ).

thf(2577,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2400]) ).

thf(2578,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2401]) ).

thf(2581,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2404]) ).

thf(2582,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2405]) ).

thf(2588,plain,
    ! [SV35: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_SV239 @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_SV239 @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2411]) ).

thf(2591,plain,
    ! [SV252: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV252 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV252 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2413]) ).

thf(2592,plain,
    ! [SV252: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV252 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV252 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2413]) ).

thf(2593,plain,
    ! [SV253: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV253 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV253 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2414]) ).

thf(2594,plain,
    ! [SV253: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV253 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV253 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2414]) ).

thf(2597,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK72_SV246 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK72_SV246 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2417]) ).

thf(2598,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK73_SV255 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK73_SV255 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2418]) ).

thf(2599,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK73_SV255 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK73_SV255 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2419]) ).

thf(2601,plain,
    ! [SV262: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV262 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV262 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV262 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2422]) ).

thf(2602,plain,
    ! [SV263: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV263 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV263 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV263 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV263 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2424]) ).

thf(2604,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK74_SV256 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK74_SV256 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2432]) ).

thf(2605,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK74_SV256 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK74_SV256 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2433]) ).

thf(2606,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK75_SV265 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK75_SV265 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK75_SV265 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK75_SV265 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[2434]) ).

thf(2628,plain,
    ! [SV252: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV252 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV252 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2591]) ).

thf(2629,plain,
    ! [SV252: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV252 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV252 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2592]) ).

thf(2630,plain,
    ! [SV253: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV253 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV253 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2593]) ).

thf(2631,plain,
    ! [SV253: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV253 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV253 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2594]) ).

thf(2634,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK72_SV246 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK72_SV246 )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2597]) ).

thf(2635,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK73_SV255 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK73_SV255 )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2598]) ).

thf(2636,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK73_SV255 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK73_SV255 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2599]) ).

thf(2638,plain,
    ! [SV262: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV262 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV262 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV262 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV262 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2601]) ).

thf(2639,plain,
    ! [SV263: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV263 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV263 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV263 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV263 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2602]) ).

thf(2641,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK74_SV256 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK74_SV256 )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2604]) ).

thf(2642,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK74_SV256 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK74_SV256 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2605]) ).

thf(2643,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK75_SV265 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK75_SV265 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2606]) ).

thf(2644,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK75_SV265 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK75_SV265 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2606]) ).

thf(2650,plain,
    ! [SV252: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV252 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2628]) ).

thf(2651,plain,
    ! [SV252: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV252 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2629]) ).

thf(2654,plain,
    ! [SV253: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV253 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2630]) ).

thf(2655,plain,
    ! [SV253: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV253 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2631]) ).

thf(2661,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK73_SV255 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK73_SV255 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2636]) ).

thf(2664,plain,
    ! [SV262: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV262 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV262 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2638]) ).

thf(2665,plain,
    ! [SV262: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV262 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV262 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2638]) ).

thf(2666,plain,
    ! [SV263: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV263 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV263 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2639]) ).

thf(2667,plain,
    ! [SV263: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV263 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV263 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2639]) ).

thf(2670,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK74_SV256 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK74_SV256 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2642]) ).

thf(2671,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK75_SV265 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK75_SV265 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2643]) ).

thf(2672,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK75_SV265 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK75_SV265 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2644]) ).

thf(2678,plain,
    ! [SV252: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2650]) ).

thf(2679,plain,
    ! [SV252: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2651]) ).

thf(2682,plain,
    ! [SV253: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2654]) ).

thf(2683,plain,
    ! [SV253: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2655]) ).

thf(2689,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK73_SV255 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK73_SV255 )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2661]) ).

thf(2692,plain,
    ! [SV262: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV262 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV262 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2664]) ).

thf(2693,plain,
    ! [SV262: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV262 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV262 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2665]) ).

thf(2694,plain,
    ! [SV263: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV263 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV263 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2666]) ).

thf(2695,plain,
    ! [SV263: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV263 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV263 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2667]) ).

thf(2698,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK74_SV256 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK74_SV256 )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2670]) ).

thf(2699,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK75_SV265 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK75_SV265 )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2671]) ).

thf(2700,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK75_SV265 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK75_SV265 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2672]) ).

thf(2706,plain,
    ! [SV262: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV262 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2692]) ).

thf(2707,plain,
    ! [SV262: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV262 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2693]) ).

thf(2710,plain,
    ! [SV263: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV263 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2694]) ).

thf(2711,plain,
    ! [SV263: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV263 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2695]) ).

thf(2717,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK75_SV265 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK75_SV265 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2700]) ).

thf(2723,plain,
    ! [SV262: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2706]) ).

thf(2724,plain,
    ! [SV262: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2707]) ).

thf(2727,plain,
    ! [SV263: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2710]) ).

thf(2728,plain,
    ! [SV263: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2711]) ).

thf(2734,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK75_SV265 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK75_SV265 )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2717]) ).

thf(2736,plain,
    ! [SV267: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV267 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV267 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1843]) ).

thf(2737,plain,
    ! [SV268: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV268 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV268 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1845]) ).

thf(2739,plain,
    ! [SV270: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV270 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV270 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[910]) ).

thf(2741,plain,
    ! [SV272: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV272 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV272 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2098]) ).

thf(2742,plain,
    ! [SV273: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV273 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV273 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2100]) ).

thf(2744,plain,
    ! [SV275: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV275 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV275 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1217]) ).

thf(2751,plain,
    ! [SV282: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV282 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV282 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1059]) ).

thf(2752,plain,
    ! [SV283: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV283 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV283 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1061]) ).

thf(2754,plain,
    ! [SV285: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK7_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV285 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV285 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[470]) ).

thf(2756,plain,
    ! [SV32: $i,SV69: $i,SV287: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV287 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV287 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1248]) ).

thf(2757,plain,
    ! [SV32: $i,SV69: $i,SV288: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV288 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV288 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1250]) ).

thf(2759,plain,
    ! [SV32: $i,SV69: $i,SV290: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV69 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV290 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV290 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[538]) ).

thf(2761,plain,
    ! [SV32: $i,SV94: $i,SV292: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV292 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV292 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1256]) ).

thf(2762,plain,
    ! [SV32: $i,SV94: $i,SV293: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV293 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV293 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1257]) ).

thf(2764,plain,
    ! [SV32: $i,SV94: $i,SV295: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV295 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV295 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[540]) ).

thf(2765,plain,
    ! [SV32: $i,SV296: $i,SV297: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV296 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV296 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV297 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV297 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[405]) ).

thf(2767,plain,
    ! [SV32: $i,SV72: $i,SV299: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV299 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV299 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1267]) ).

thf(2768,plain,
    ! [SV32: $i,SV72: $i,SV300: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV300 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV300 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1269]) ).

thf(2770,plain,
    ! [SV32: $i,SV72: $i,SV302: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV302 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV302 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[547]) ).

thf(2772,plain,
    ! [SV32: $i,SV95: $i,SV304: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV304 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV304 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1275]) ).

thf(2773,plain,
    ! [SV32: $i,SV95: $i,SV305: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV305 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV305 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1276]) ).

thf(2775,plain,
    ! [SV32: $i,SV95: $i,SV307: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV307 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV307 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[549]) ).

thf(2776,plain,
    ! [SV32: $i,SV308: $i,SV309: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV308 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV308 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV309 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV309 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[410]) ).

thf(2778,plain,
    ! [SV33: $i,SV75: $i,SV311: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV311 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV311 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1286]) ).

thf(2779,plain,
    ! [SV33: $i,SV75: $i,SV312: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV312 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV312 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1288]) ).

thf(2781,plain,
    ! [SV33: $i,SV75: $i,SV314: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV314 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV314 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[556]) ).

thf(2783,plain,
    ! [SV33: $i,SV96: $i,SV316: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV316 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV316 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1294]) ).

thf(2784,plain,
    ! [SV33: $i,SV96: $i,SV317: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV317 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV317 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1295]) ).

thf(2786,plain,
    ! [SV33: $i,SV96: $i,SV319: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV319 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV319 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[558]) ).

thf(2787,plain,
    ! [SV33: $i,SV320: $i,SV321: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV320 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV320 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV321 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV321 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[415]) ).

thf(2789,plain,
    ! [SV33: $i,SV78: $i,SV323: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV323 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV323 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1305]) ).

thf(2790,plain,
    ! [SV33: $i,SV78: $i,SV324: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV324 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV324 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1307]) ).

thf(2792,plain,
    ! [SV33: $i,SV78: $i,SV326: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV78 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV326 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV326 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[565]) ).

thf(2794,plain,
    ! [SV33: $i,SV97: $i,SV328: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV328 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV328 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1313]) ).

thf(2795,plain,
    ! [SV33: $i,SV97: $i,SV329: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV329 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV329 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1314]) ).

thf(2797,plain,
    ! [SV33: $i,SV97: $i,SV331: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV331 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV331 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[567]) ).

thf(2798,plain,
    ! [SV33: $i,SV332: $i,SV333: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV332 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV332 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV333 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV333 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[420]) ).

thf(2800,plain,
    ! [SV34: $i,SV81: $i,SV335: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV335 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV335 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1324]) ).

thf(2801,plain,
    ! [SV34: $i,SV81: $i,SV336: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV336 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV336 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1326]) ).

thf(2803,plain,
    ! [SV34: $i,SV81: $i,SV338: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV81 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV338 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV338 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[574]) ).

thf(2805,plain,
    ! [SV34: $i,SV98: $i,SV340: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV340 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV340 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1332]) ).

thf(2806,plain,
    ! [SV34: $i,SV98: $i,SV341: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV341 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV341 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1333]) ).

thf(2808,plain,
    ! [SV34: $i,SV98: $i,SV343: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV343 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV343 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[576]) ).

thf(2809,plain,
    ! [SV34: $i,SV344: $i,SV345: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV344 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV344 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV345 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV345 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[425]) ).

thf(2811,plain,
    ! [SV34: $i,SV84: $i,SV347: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV347 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV347 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1343]) ).

thf(2812,plain,
    ! [SV34: $i,SV84: $i,SV348: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV348 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV348 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1345]) ).

thf(2814,plain,
    ! [SV34: $i,SV84: $i,SV350: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV84 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV350 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV350 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[583]) ).

thf(2816,plain,
    ! [SV34: $i,SV99: $i,SV352: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV352 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV352 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1351]) ).

thf(2817,plain,
    ! [SV34: $i,SV99: $i,SV353: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV353 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV353 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1352]) ).

thf(2819,plain,
    ! [SV34: $i,SV99: $i,SV355: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV355 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV355 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[585]) ).

thf(2820,plain,
    ! [SV34: $i,SV356: $i,SV357: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV356 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV356 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV357 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV357 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[430]) ).

thf(2822,plain,
    ! [SV35: $i,SV87: $i,SV359: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV359 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV359 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1362]) ).

thf(2823,plain,
    ! [SV35: $i,SV87: $i,SV360: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV360 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV360 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1364]) ).

thf(2825,plain,
    ! [SV35: $i,SV87: $i,SV362: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV87 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV362 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV362 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[592]) ).

thf(2827,plain,
    ! [SV35: $i,SV100: $i,SV364: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV364 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV364 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1370]) ).

thf(2828,plain,
    ! [SV35: $i,SV100: $i,SV365: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV365 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV365 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1371]) ).

thf(2830,plain,
    ! [SV35: $i,SV100: $i,SV367: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV367 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV367 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[594]) ).

thf(2831,plain,
    ! [SV35: $i,SV368: $i,SV369: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV368 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV368 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV369 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV369 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[435]) ).

thf(2833,plain,
    ! [SV35: $i,SV90: $i,SV371: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV371 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV371 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1381]) ).

thf(2834,plain,
    ! [SV35: $i,SV90: $i,SV372: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV372 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV372 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1383]) ).

thf(2836,plain,
    ! [SV35: $i,SV90: $i,SV374: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV90 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV374 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV374 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[601]) ).

thf(2838,plain,
    ! [SV35: $i,SV101: $i,SV376: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV376 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV376 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1389]) ).

thf(2839,plain,
    ! [SV35: $i,SV101: $i,SV377: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV377 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV377 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1390]) ).

thf(2841,plain,
    ! [SV35: $i,SV101: $i,SV379: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV379 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV379 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[603]) ).

thf(2842,plain,
    ! [SV35: $i,SV380: $i,SV381: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV380 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV380 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV381 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV381 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[440]) ).

thf(2847,plain,
    ! [SV252: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2082]) ).

thf(2848,plain,
    ! [SV252: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2082]) ).

thf(2849,plain,
    ! [SV267: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV267 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV267 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2736]) ).

thf(2850,plain,
    ! [SV267: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV267 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV267 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2736]) ).

thf(2851,plain,
    ! [SV253: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2084]) ).

thf(2852,plain,
    ! [SV253: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV253 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2084]) ).

thf(2853,plain,
    ! [SV268: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2737]) ).

thf(2854,plain,
    ! [SV268: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2737]) ).

thf(2861,plain,
    ! [SV142: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2088]) ).

thf(2862,plain,
    ! [SV142: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2088]) ).

thf(2863,plain,
    ! [SV142: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2089]) ).

thf(2864,plain,
    ! [SV142: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2089]) ).

thf(2867,plain,
    ! [SV142: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1210]) ).

thf(2868,plain,
    ! [SV142: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1210]) ).

thf(2869,plain,
    ! [SV270: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV270 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV270 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2739]) ).

thf(2870,plain,
    ! [SV270: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV270 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV270 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2739]) ).

thf(2875,plain,
    ! [SV262: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2423]) ).

thf(2876,plain,
    ! [SV262: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV262 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2423]) ).

thf(2877,plain,
    ! [SV272: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2741]) ).

thf(2878,plain,
    ! [SV272: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2741]) ).

thf(2879,plain,
    ! [SV263: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2425]) ).

thf(2880,plain,
    ! [SV263: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2425]) ).

thf(2881,plain,
    ! [SV273: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2742]) ).

thf(2882,plain,
    ! [SV273: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2742]) ).

thf(2889,plain,
    ! [SV195: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2429]) ).

thf(2890,plain,
    ! [SV195: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2429]) ).

thf(2891,plain,
    ! [SV195: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2430]) ).

thf(2892,plain,
    ! [SV195: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2430]) ).

thf(2895,plain,
    ! [SV195: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1571]) ).

thf(2896,plain,
    ! [SV195: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1571]) ).

thf(2897,plain,
    ! [SV275: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2744]) ).

thf(2898,plain,
    ! [SV275: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK14_SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2744]) ).

thf(2931,plain,
    ! [SV159: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1426]) ).

thf(2932,plain,
    ! [SV159: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1426]) ).

thf(2933,plain,
    ! [SV282: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2751]) ).

thf(2934,plain,
    ! [SV282: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2751]) ).

thf(2935,plain,
    ! [SV160: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1428]) ).

thf(2936,plain,
    ! [SV160: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1428]) ).

thf(2937,plain,
    ! [SV283: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2752]) ).

thf(2938,plain,
    ! [SV283: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2752]) ).

thf(2945,plain,
    ! [SV103: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1432]) ).

thf(2946,plain,
    ! [SV103: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1432]) ).

thf(2947,plain,
    ! [SV103: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1433]) ).

thf(2948,plain,
    ! [SV103: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1433]) ).

thf(2951,plain,
    ! [SV103: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[630]) ).

thf(2952,plain,
    ! [SV103: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[630]) ).

thf(2953,plain,
    ! [SV285: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2754]) ).

thf(2954,plain,
    ! [SV285: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2754]) ).

thf(2959,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1602]) ).

thf(2960,plain,
    ! [SV32: $i,SV69: $i,SV201: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1602]) ).

thf(2961,plain,
    ! [SV32: $i,SV69: $i,SV287: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2756]) ).

thf(2962,plain,
    ! [SV32: $i,SV69: $i,SV287: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2756]) ).

thf(2963,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1604]) ).

thf(2964,plain,
    ! [SV32: $i,SV69: $i,SV202: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV202 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1604]) ).

thf(2965,plain,
    ! [SV32: $i,SV69: $i,SV288: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV288 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV288 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2757]) ).

thf(2966,plain,
    ! [SV32: $i,SV69: $i,SV288: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV288 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV288 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2757]) ).

thf(2973,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1608]) ).

thf(2974,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1608]) ).

thf(2975,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1609]) ).

thf(2976,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1609]) ).

thf(2979,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[714]) ).

thf(2980,plain,
    ! [SV32: $i,SV69: $i,SV122: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[714]) ).

thf(2981,plain,
    ! [SV32: $i,SV69: $i,SV290: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2759]) ).

thf(2982,plain,
    ! [SV32: $i,SV69: $i,SV290: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV69 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2759]) ).

thf(2985,plain,
    ! [SV32: $i,SV94: $i,SV292: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2761]) ).

thf(2986,plain,
    ! [SV32: $i,SV94: $i,SV292: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2761]) ).

thf(2987,plain,
    ! [SV32: $i,SV94: $i,SV293: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2762]) ).

thf(2988,plain,
    ! [SV32: $i,SV94: $i,SV293: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2762]) ).

thf(2991,plain,
    ! [SV32: $i,SV94: $i,SV295: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV295 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV295 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2764]) ).

thf(2992,plain,
    ! [SV32: $i,SV94: $i,SV295: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV295 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV295 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2764]) ).

thf(2993,plain,
    ! [SV32: $i,SV296: $i,SV297: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2765]) ).

thf(2994,plain,
    ! [SV32: $i,SV296: $i,SV297: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2765]) ).

thf(2999,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1618]) ).

thf(3000,plain,
    ! [SV32: $i,SV72: $i,SV206: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1618]) ).

thf(3001,plain,
    ! [SV32: $i,SV72: $i,SV299: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2767]) ).

thf(3002,plain,
    ! [SV32: $i,SV72: $i,SV299: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2767]) ).

thf(3003,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1620]) ).

thf(3004,plain,
    ! [SV32: $i,SV72: $i,SV207: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV207 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1620]) ).

thf(3005,plain,
    ! [SV32: $i,SV72: $i,SV300: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV300 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV300 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2768]) ).

thf(3006,plain,
    ! [SV32: $i,SV72: $i,SV300: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV300 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV300 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2768]) ).

thf(3013,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1624]) ).

thf(3014,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1624]) ).

thf(3015,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1625]) ).

thf(3016,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1625]) ).

thf(3019,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[725]) ).

thf(3020,plain,
    ! [SV32: $i,SV72: $i,SV123: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[725]) ).

thf(3021,plain,
    ! [SV32: $i,SV72: $i,SV302: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2770]) ).

thf(3022,plain,
    ! [SV32: $i,SV72: $i,SV302: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2770]) ).

thf(3025,plain,
    ! [SV32: $i,SV95: $i,SV304: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2772]) ).

thf(3026,plain,
    ! [SV32: $i,SV95: $i,SV304: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2772]) ).

thf(3027,plain,
    ! [SV32: $i,SV95: $i,SV305: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2773]) ).

thf(3028,plain,
    ! [SV32: $i,SV95: $i,SV305: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2773]) ).

thf(3031,plain,
    ! [SV32: $i,SV95: $i,SV307: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2775]) ).

thf(3032,plain,
    ! [SV32: $i,SV95: $i,SV307: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2775]) ).

thf(3033,plain,
    ! [SV32: $i,SV308: $i,SV309: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2776]) ).

thf(3034,plain,
    ! [SV32: $i,SV308: $i,SV309: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2776]) ).

thf(3039,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1634]) ).

thf(3040,plain,
    ! [SV33: $i,SV75: $i,SV211: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1634]) ).

thf(3041,plain,
    ! [SV33: $i,SV75: $i,SV311: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2778]) ).

thf(3042,plain,
    ! [SV33: $i,SV75: $i,SV311: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV311 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2778]) ).

thf(3043,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1636]) ).

thf(3044,plain,
    ! [SV33: $i,SV75: $i,SV212: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV212 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1636]) ).

thf(3045,plain,
    ! [SV33: $i,SV75: $i,SV312: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2779]) ).

thf(3046,plain,
    ! [SV33: $i,SV75: $i,SV312: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV312 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2779]) ).

thf(3053,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1640]) ).

thf(3054,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1640]) ).

thf(3055,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1641]) ).

thf(3056,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1641]) ).

thf(3059,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[736]) ).

thf(3060,plain,
    ! [SV33: $i,SV75: $i,SV124: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[736]) ).

thf(3061,plain,
    ! [SV33: $i,SV75: $i,SV314: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2781]) ).

thf(3062,plain,
    ! [SV33: $i,SV75: $i,SV314: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV314 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2781]) ).

thf(3065,plain,
    ! [SV33: $i,SV96: $i,SV316: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2783]) ).

thf(3066,plain,
    ! [SV33: $i,SV96: $i,SV316: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV316 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2783]) ).

thf(3067,plain,
    ! [SV33: $i,SV96: $i,SV317: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2784]) ).

thf(3068,plain,
    ! [SV33: $i,SV96: $i,SV317: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV317 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2784]) ).

thf(3071,plain,
    ! [SV33: $i,SV96: $i,SV319: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2786]) ).

thf(3072,plain,
    ! [SV33: $i,SV96: $i,SV319: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV319 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2786]) ).

thf(3073,plain,
    ! [SV33: $i,SV320: $i,SV321: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV321 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV321 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2787]) ).

thf(3074,plain,
    ! [SV33: $i,SV320: $i,SV321: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV321 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV321 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV320 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2787]) ).

thf(3079,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1650]) ).

thf(3080,plain,
    ! [SV33: $i,SV78: $i,SV216: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1650]) ).

thf(3081,plain,
    ! [SV33: $i,SV78: $i,SV323: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV323 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV323 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2789]) ).

thf(3082,plain,
    ! [SV33: $i,SV78: $i,SV323: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV323 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV323 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2789]) ).

thf(3083,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1652]) ).

thf(3084,plain,
    ! [SV33: $i,SV78: $i,SV217: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV217 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1652]) ).

thf(3085,plain,
    ! [SV33: $i,SV78: $i,SV324: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV324 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV324 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2790]) ).

thf(3086,plain,
    ! [SV33: $i,SV78: $i,SV324: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV324 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV324 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2790]) ).

thf(3093,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1656]) ).

thf(3094,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1656]) ).

thf(3095,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1657]) ).

thf(3096,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1657]) ).

thf(3099,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[747]) ).

thf(3100,plain,
    ! [SV33: $i,SV78: $i,SV125: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[747]) ).

thf(3101,plain,
    ! [SV33: $i,SV78: $i,SV326: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV326 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV326 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2792]) ).

thf(3102,plain,
    ! [SV33: $i,SV78: $i,SV326: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV326 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV326 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV78 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2792]) ).

thf(3105,plain,
    ! [SV33: $i,SV97: $i,SV328: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV328 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV328 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2794]) ).

thf(3106,plain,
    ! [SV33: $i,SV97: $i,SV328: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV328 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV328 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2794]) ).

thf(3107,plain,
    ! [SV33: $i,SV97: $i,SV329: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV329 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV329 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2795]) ).

thf(3108,plain,
    ! [SV33: $i,SV97: $i,SV329: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV329 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV329 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2795]) ).

thf(3111,plain,
    ! [SV33: $i,SV97: $i,SV331: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV331 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV331 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2797]) ).

thf(3112,plain,
    ! [SV33: $i,SV97: $i,SV331: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV331 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV331 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2797]) ).

thf(3113,plain,
    ! [SV33: $i,SV332: $i,SV333: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV333 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV333 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV332 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV332 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2798]) ).

thf(3114,plain,
    ! [SV33: $i,SV332: $i,SV333: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV333 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV333 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV332 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV332 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2798]) ).

thf(3119,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1666]) ).

thf(3120,plain,
    ! [SV34: $i,SV81: $i,SV221: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1666]) ).

thf(3121,plain,
    ! [SV34: $i,SV81: $i,SV335: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV335 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV335 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2800]) ).

thf(3122,plain,
    ! [SV34: $i,SV81: $i,SV335: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV335 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV335 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2800]) ).

thf(3123,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1668]) ).

thf(3124,plain,
    ! [SV34: $i,SV81: $i,SV222: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV222 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1668]) ).

thf(3125,plain,
    ! [SV34: $i,SV81: $i,SV336: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV336 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV336 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2801]) ).

thf(3126,plain,
    ! [SV34: $i,SV81: $i,SV336: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV336 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV336 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2801]) ).

thf(3133,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1672]) ).

thf(3134,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1672]) ).

thf(3135,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1673]) ).

thf(3136,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1673]) ).

thf(3139,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[758]) ).

thf(3140,plain,
    ! [SV34: $i,SV81: $i,SV126: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV126 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[758]) ).

thf(3141,plain,
    ! [SV34: $i,SV81: $i,SV338: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV338 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV338 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2803]) ).

thf(3142,plain,
    ! [SV34: $i,SV81: $i,SV338: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV338 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV338 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV81 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2803]) ).

thf(3145,plain,
    ! [SV34: $i,SV98: $i,SV340: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV340 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV340 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2805]) ).

thf(3146,plain,
    ! [SV34: $i,SV98: $i,SV340: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV340 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV340 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2805]) ).

thf(3147,plain,
    ! [SV34: $i,SV98: $i,SV341: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV341 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV341 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2806]) ).

thf(3148,plain,
    ! [SV34: $i,SV98: $i,SV341: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV341 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV341 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2806]) ).

thf(3151,plain,
    ! [SV34: $i,SV98: $i,SV343: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV343 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV343 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2808]) ).

thf(3152,plain,
    ! [SV34: $i,SV98: $i,SV343: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV343 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV343 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2808]) ).

thf(3153,plain,
    ! [SV34: $i,SV344: $i,SV345: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV345 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV345 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV344 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV344 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2809]) ).

thf(3154,plain,
    ! [SV34: $i,SV344: $i,SV345: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV345 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV345 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV344 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV344 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2809]) ).

thf(3159,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1682]) ).

thf(3160,plain,
    ! [SV34: $i,SV84: $i,SV226: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV226 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1682]) ).

thf(3161,plain,
    ! [SV34: $i,SV84: $i,SV347: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV347 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV347 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2811]) ).

thf(3162,plain,
    ! [SV34: $i,SV84: $i,SV347: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV347 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV347 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2811]) ).

thf(3163,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1684]) ).

thf(3164,plain,
    ! [SV34: $i,SV84: $i,SV227: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1684]) ).

thf(3165,plain,
    ! [SV34: $i,SV84: $i,SV348: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV348 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV348 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2812]) ).

thf(3166,plain,
    ! [SV34: $i,SV84: $i,SV348: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV348 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV348 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2812]) ).

thf(3173,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1688]) ).

thf(3174,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1688]) ).

thf(3175,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1689]) ).

thf(3176,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1689]) ).

thf(3179,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[769]) ).

thf(3180,plain,
    ! [SV34: $i,SV84: $i,SV127: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[769]) ).

thf(3181,plain,
    ! [SV34: $i,SV84: $i,SV350: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV350 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV350 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2814]) ).

thf(3182,plain,
    ! [SV34: $i,SV84: $i,SV350: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV350 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV350 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV84 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2814]) ).

thf(3185,plain,
    ! [SV34: $i,SV99: $i,SV352: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV352 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV352 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2816]) ).

thf(3186,plain,
    ! [SV34: $i,SV99: $i,SV352: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV352 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV352 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2816]) ).

thf(3187,plain,
    ! [SV34: $i,SV99: $i,SV353: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV353 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV353 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2817]) ).

thf(3188,plain,
    ! [SV34: $i,SV99: $i,SV353: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV353 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV353 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2817]) ).

thf(3191,plain,
    ! [SV34: $i,SV99: $i,SV355: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV355 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV355 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2819]) ).

thf(3192,plain,
    ! [SV34: $i,SV99: $i,SV355: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV355 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV355 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2819]) ).

thf(3193,plain,
    ! [SV34: $i,SV356: $i,SV357: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV357 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV357 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV356 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV356 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2820]) ).

thf(3194,plain,
    ! [SV34: $i,SV356: $i,SV357: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV357 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV357 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV356 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV356 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2820]) ).

thf(3199,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1698]) ).

thf(3200,plain,
    ! [SV35: $i,SV87: $i,SV231: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV231 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1698]) ).

thf(3201,plain,
    ! [SV35: $i,SV87: $i,SV359: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV359 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV359 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2822]) ).

thf(3202,plain,
    ! [SV35: $i,SV87: $i,SV359: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV359 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV359 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2822]) ).

thf(3203,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1700]) ).

thf(3204,plain,
    ! [SV35: $i,SV87: $i,SV232: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1700]) ).

thf(3205,plain,
    ! [SV35: $i,SV87: $i,SV360: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV360 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV360 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2823]) ).

thf(3206,plain,
    ! [SV35: $i,SV87: $i,SV360: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV360 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV360 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2823]) ).

thf(3213,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1704]) ).

thf(3214,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1704]) ).

thf(3215,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1705]) ).

thf(3216,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1705]) ).

thf(3219,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[780]) ).

thf(3220,plain,
    ! [SV35: $i,SV87: $i,SV128: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[780]) ).

thf(3221,plain,
    ! [SV35: $i,SV87: $i,SV362: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV362 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV362 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2825]) ).

thf(3222,plain,
    ! [SV35: $i,SV87: $i,SV362: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV362 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV362 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV87 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2825]) ).

thf(3225,plain,
    ! [SV35: $i,SV100: $i,SV364: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV364 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV364 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2827]) ).

thf(3226,plain,
    ! [SV35: $i,SV100: $i,SV364: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV364 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV364 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2827]) ).

thf(3227,plain,
    ! [SV35: $i,SV100: $i,SV365: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV365 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV365 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2828]) ).

thf(3228,plain,
    ! [SV35: $i,SV100: $i,SV365: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV365 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV365 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2828]) ).

thf(3231,plain,
    ! [SV35: $i,SV100: $i,SV367: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV367 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV367 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2830]) ).

thf(3232,plain,
    ! [SV35: $i,SV100: $i,SV367: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV367 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV367 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2830]) ).

thf(3233,plain,
    ! [SV35: $i,SV368: $i,SV369: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV369 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV369 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV368 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV368 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2831]) ).

thf(3234,plain,
    ! [SV35: $i,SV368: $i,SV369: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV369 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV369 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV368 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV368 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2831]) ).

thf(3239,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1714]) ).

thf(3240,plain,
    ! [SV35: $i,SV90: $i,SV236: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1714]) ).

thf(3241,plain,
    ! [SV35: $i,SV90: $i,SV371: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV371 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV371 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2833]) ).

thf(3242,plain,
    ! [SV35: $i,SV90: $i,SV371: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV371 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV371 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2833]) ).

thf(3243,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1716]) ).

thf(3244,plain,
    ! [SV35: $i,SV90: $i,SV237: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1716]) ).

thf(3245,plain,
    ! [SV35: $i,SV90: $i,SV372: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV372 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV372 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2834]) ).

thf(3246,plain,
    ! [SV35: $i,SV90: $i,SV372: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV372 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV372 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2834]) ).

thf(3253,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1720]) ).

thf(3254,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1720]) ).

thf(3255,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1721]) ).

thf(3256,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1721]) ).

thf(3259,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[791]) ).

thf(3260,plain,
    ! [SV35: $i,SV90: $i,SV129: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV129 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[791]) ).

thf(3261,plain,
    ! [SV35: $i,SV90: $i,SV374: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV374 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV374 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2836]) ).

thf(3262,plain,
    ! [SV35: $i,SV90: $i,SV374: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV374 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV374 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV90 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2836]) ).

thf(3265,plain,
    ! [SV35: $i,SV101: $i,SV376: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV376 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV376 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2838]) ).

thf(3266,plain,
    ! [SV35: $i,SV101: $i,SV376: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV376 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV376 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2838]) ).

thf(3267,plain,
    ! [SV35: $i,SV101: $i,SV377: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV377 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV377 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2839]) ).

thf(3268,plain,
    ! [SV35: $i,SV101: $i,SV377: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV377 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV377 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2839]) ).

thf(3271,plain,
    ! [SV35: $i,SV101: $i,SV379: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV379 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV379 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2841]) ).

thf(3272,plain,
    ! [SV35: $i,SV101: $i,SV379: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV379 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV379 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2841]) ).

thf(3273,plain,
    ! [SV35: $i,SV380: $i,SV381: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV381 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV381 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV380 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV380 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2842]) ).

thf(3274,plain,
    ! [SV35: $i,SV380: $i,SV381: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV381 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV381 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV380 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV380 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2842]) ).

thf(3275,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK76_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK76_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1734]) ).

thf(3276,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK76_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK76_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1734]) ).

thf(3277,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK77_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK77_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1958]) ).

thf(3278,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK77_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK77_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1958]) ).

thf(3279,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK79_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK79_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1968]) ).

thf(3280,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK79_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK79_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1968]) ).

thf(3281,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK80_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK80_E )
      = $true ) ),
    inference(extuni,[status(esa)],[2245]) ).

thf(3282,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK14_SV52 )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK80_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK80_E )
      = $false ) ),
    inference(extuni,[status(esa)],[2245]) ).

thf(3301,plain,
    ! [SV159: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV159 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV159 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true ) ),
    inference(extuni,[status(esa)],[2264]) ).

thf(3302,plain,
    ! [SV159: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV159 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV159 ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true ) ),
    inference(extuni,[status(esa)],[2264]) ).

thf(3303,plain,
    ! [SV159: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV159 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV159 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true ) ),
    inference(extuni,[status(esa)],[2265]) ).

thf(3304,plain,
    ! [SV159: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV159 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV159 ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true ) ),
    inference(extuni,[status(esa)],[2265]) ).

thf(3307,plain,
    ! [SV159: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV159 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV159 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2932]) ).

thf(3308,plain,
    ! [SV159: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV159 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV159 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2932]) ).

thf(3309,plain,
    ! [SV159: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV159 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV159 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2931]) ).

thf(3310,plain,
    ! [SV159: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV159 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV159 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2931]) ).

thf(3311,plain,
    ! [SV282: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV282 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV282 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $false ) ),
    inference(extuni,[status(esa)],[2934]) ).

thf(3312,plain,
    ! [SV282: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV282 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV282 ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $false ) ),
    inference(extuni,[status(esa)],[2934]) ).

thf(3313,plain,
    ! [SV282: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV282 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV282 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $true ) ),
    inference(extuni,[status(esa)],[2933]) ).

thf(3314,plain,
    ! [SV282: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV282 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV282 ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV282 )
        = $true ) ),
    inference(extuni,[status(esa)],[2933]) ).

thf(3317,plain,
    ! [SV160: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV160 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV160 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true ) ),
    inference(extuni,[status(esa)],[2268]) ).

thf(3318,plain,
    ! [SV160: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV160 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV160 ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true ) ),
    inference(extuni,[status(esa)],[2268]) ).

thf(3319,plain,
    ! [SV160: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV160 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV160 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true ) ),
    inference(extuni,[status(esa)],[2269]) ).

thf(3320,plain,
    ! [SV160: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV160 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV160 ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true ) ),
    inference(extuni,[status(esa)],[2269]) ).

thf(3323,plain,
    ! [SV160: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV160 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV160 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2936]) ).

thf(3324,plain,
    ! [SV160: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV160 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV160 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2936]) ).

thf(3325,plain,
    ! [SV160: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV160 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV160 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2935]) ).

thf(3326,plain,
    ! [SV160: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV160 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV160 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV160 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2935]) ).

thf(3327,plain,
    ! [SV283: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV283 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV283 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $false ) ),
    inference(extuni,[status(esa)],[2938]) ).

thf(3328,plain,
    ! [SV283: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV283 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV283 ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $false ) ),
    inference(extuni,[status(esa)],[2938]) ).

thf(3329,plain,
    ! [SV283: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV283 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV283 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $true ) ),
    inference(extuni,[status(esa)],[2937]) ).

thf(3330,plain,
    ! [SV283: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV283 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV283 ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $true ) ),
    inference(extuni,[status(esa)],[2937]) ).

thf(3351,plain,
    ! [SV103: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV103 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV103 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2946]) ).

thf(3352,plain,
    ! [SV103: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV103 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV103 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2946]) ).

thf(3353,plain,
    ! [SV103: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV103 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV103 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2945]) ).

thf(3354,plain,
    ! [SV103: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV103 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV103 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2945]) ).

thf(3355,plain,
    ! [SV103: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV103 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV103 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2948]) ).

thf(3356,plain,
    ! [SV103: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV103 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV103 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2948]) ).

thf(3357,plain,
    ! [SV103: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV103 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV103 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2947]) ).

thf(3358,plain,
    ! [SV103: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV103 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV103 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2947]) ).

thf(3363,plain,
    ! [SV103: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV103 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV103 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2952]) ).

thf(3364,plain,
    ! [SV103: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV103 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV103 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2952]) ).

thf(3365,plain,
    ! [SV103: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK126_E @ SV103 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK126_E @ SV103 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[2951]) ).

thf(3366,plain,
    ! [SV103: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV103 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK126_E @ SV103 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK126_E @ SV103 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[2951]) ).

thf(3367,plain,
    ! [SV285: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV285 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV285 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $false ) ),
    inference(extuni,[status(esa)],[2954]) ).

thf(3368,plain,
    ! [SV285: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV285 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV285 ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $false ) ),
    inference(extuni,[status(esa)],[2954]) ).

thf(3369,plain,
    ! [SV285: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV285 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV285 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $true ) ),
    inference(extuni,[status(esa)],[2953]) ).

thf(3370,plain,
    ! [SV285: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV285 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV285 ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK7_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $true ) ),
    inference(extuni,[status(esa)],[2953]) ).

thf(3371,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK129_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK129_E )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $true ) ),
    inference(extuni,[status(esa)],[1764]) ).

thf(3372,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK129_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK129_E )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $true ) ),
    inference(extuni,[status(esa)],[1764]) ).

thf(3373,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK130_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK130_E )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $false ) ),
    inference(extuni,[status(esa)],[1988]) ).

thf(3374,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK130_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK130_E )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK50_SV141 )
      = $false ) ),
    inference(extuni,[status(esa)],[1988]) ).

thf(3375,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK132_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK132_E )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK131_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK131_E )
      = $true ) ),
    inference(extuni,[status(esa)],[928]) ).

thf(3376,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK132_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK132_E )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK131_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK131_E )
      = $true ) ),
    inference(extuni,[status(esa)],[928]) ).

thf(3377,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK133_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK133_E )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK131_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK131_E )
      = $false ) ),
    inference(extuni,[status(esa)],[928]) ).

thf(3378,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK133_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK133_E )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK131_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK131_E )
      = $false ) ),
    inference(extuni,[status(esa)],[928]) ).

thf(3379,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK134_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK134_E )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $true ) ),
    inference(extuni,[status(esa)],[1989]) ).

thf(3380,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK134_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK134_E )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $true ) ),
    inference(extuni,[status(esa)],[1989]) ).

thf(3381,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK135_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK135_E )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $false ) ),
    inference(extuni,[status(esa)],[2275]) ).

thf(3382,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK135_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK135_E )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK61_SV162 )
      = $false ) ),
    inference(extuni,[status(esa)],[2275]) ).

thf(3383,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK137_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK137_E )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK136_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK136_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1242]) ).

thf(3384,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK137_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK137_E )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK136_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK136_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1242]) ).

thf(3385,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK138_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK138_E )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK136_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK136_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1242]) ).

thf(3386,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK138_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK138_E )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK136_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK136_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1242]) ).

thf(3387,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK140_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK140_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1081]) ).

thf(3388,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK140_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK140_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1081]) ).

thf(3389,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1450]) ).

thf(3390,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV71 @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1450]) ).

thf(3391,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1085]) ).

thf(3392,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1085]) ).

thf(3393,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1453]) ).

thf(3394,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV105 @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1453]) ).

thf(3395,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[544]) ).

thf(3396,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK146_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[544]) ).

thf(3397,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[544]) ).

thf(3398,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[544]) ).

thf(3399,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[182]) ).

thf(3400,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[182]) ).

thf(3401,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[182]) ).

thf(3402,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[182]) ).

thf(3403,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[182]) ).

thf(3404,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[182]) ).

thf(3405,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[182]) ).

thf(3406,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[182]) ).

thf(3407,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK154_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK154_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1098]) ).

thf(3408,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK154_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK154_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1098]) ).

thf(3409,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1465]) ).

thf(3410,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV74 @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1465]) ).

thf(3411,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1102]) ).

thf(3412,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1102]) ).

thf(3413,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1468]) ).

thf(3414,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV107 @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1468]) ).

thf(3415,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[553]) ).

thf(3416,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK160_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[553]) ).

thf(3417,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[553]) ).

thf(3418,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[553]) ).

thf(3419,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[184]) ).

thf(3420,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[184]) ).

thf(3421,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV32 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[184]) ).

thf(3422,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV32 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[184]) ).

thf(3423,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[184]) ).

thf(3424,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV32 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[184]) ).

thf(3425,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV32 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV32 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[184]) ).

thf(3426,plain,
    ! [SV32: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV32 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV32 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV32 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV32 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[184]) ).

thf(3427,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1115]) ).

thf(3428,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1115]) ).

thf(3429,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1480]) ).

thf(3430,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV77 @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1480]) ).

thf(3431,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK171_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK171_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1119]) ).

thf(3432,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK171_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK171_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1119]) ).

thf(3433,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1483]) ).

thf(3434,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV109 @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1483]) ).

thf(3435,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[562]) ).

thf(3436,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[562]) ).

thf(3437,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[562]) ).

thf(3438,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[562]) ).

thf(3439,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK176_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK176_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[186]) ).

thf(3440,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK177_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK176_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK176_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[186]) ).

thf(3441,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK176_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK176_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[186]) ).

thf(3442,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK178_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK176_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK176_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[186]) ).

thf(3443,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_E @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[186]) ).

thf(3444,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK180_E @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[186]) ).

thf(3445,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_E @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[186]) ).

thf(3446,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK181_E @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK179_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[186]) ).

thf(3447,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1132]) ).

thf(3448,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK182_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1132]) ).

thf(3449,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1495]) ).

thf(3450,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV80 @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK183_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1495]) ).

thf(3451,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK185_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK185_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1136]) ).

thf(3452,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK185_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK185_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1136]) ).

thf(3453,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1498]) ).

thf(3454,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK186_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV111 @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1498]) ).

thf(3455,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[571]) ).

thf(3456,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK188_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[571]) ).

thf(3457,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[571]) ).

thf(3458,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK189_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK187_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[571]) ).

thf(3459,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[188]) ).

thf(3460,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK191_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[188]) ).

thf(3461,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_E @ SV33 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[188]) ).

thf(3462,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK192_E @ SV33 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK190_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[188]) ).

thf(3463,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_E @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[188]) ).

thf(3464,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK194_E @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_E @ SV33 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_E @ SV33 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[188]) ).

thf(3465,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_E @ SV33 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_E @ SV33 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[188]) ).

thf(3466,plain,
    ! [SV33: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV33 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_E @ SV33 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK195_E @ SV33 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_E @ SV33 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK193_E @ SV33 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[188]) ).

thf(3467,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1149]) ).

thf(3468,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK196_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1149]) ).

thf(3469,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1510]) ).

thf(3470,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV83 @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK197_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1510]) ).

thf(3471,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK199_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK199_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1153]) ).

thf(3472,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK199_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK199_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1153]) ).

thf(3473,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK200_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK200_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1513]) ).

thf(3474,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK200_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK200_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV113 @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1513]) ).

thf(3475,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK202_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK202_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK201_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK201_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[580]) ).

thf(3476,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK202_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK202_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK201_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK201_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[580]) ).

thf(3477,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK203_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK203_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK201_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK201_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[580]) ).

thf(3478,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK203_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK203_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK201_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK201_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[580]) ).

thf(3479,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK205_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK205_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK204_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK204_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[190]) ).

thf(3480,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK205_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK205_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK204_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK204_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[190]) ).

thf(3481,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK206_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK206_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK204_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK204_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[190]) ).

thf(3482,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK206_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK206_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK204_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK204_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[190]) ).

thf(3483,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK208_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK208_E @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK207_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK207_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[190]) ).

thf(3484,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK208_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK208_E @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK207_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK207_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[190]) ).

thf(3485,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK209_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK209_E @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK207_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK207_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[190]) ).

thf(3486,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK209_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK209_E @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK207_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK207_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[190]) ).

thf(3487,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK210_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK210_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1166]) ).

thf(3488,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK210_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK210_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1166]) ).

thf(3489,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK211_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK211_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1525]) ).

thf(3490,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV86 @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK211_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK211_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1525]) ).

thf(3491,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK213_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK213_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1170]) ).

thf(3492,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK213_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK213_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1170]) ).

thf(3493,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK214_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK214_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1528]) ).

thf(3494,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK214_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK214_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV115 @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1528]) ).

thf(3495,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK216_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK216_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK215_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK215_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[589]) ).

thf(3496,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK216_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK216_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK215_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK215_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[589]) ).

thf(3497,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK217_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK217_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK215_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK215_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[589]) ).

thf(3498,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK217_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK217_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK215_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK215_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[589]) ).

thf(3499,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK219_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK219_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK218_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK218_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[192]) ).

thf(3500,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK219_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK219_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK218_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK218_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[192]) ).

thf(3501,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_E @ SV34 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK218_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK218_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[192]) ).

thf(3502,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK220_E @ SV34 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK218_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK218_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[192]) ).

thf(3503,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_E @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[192]) ).

thf(3504,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK222_E @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_E @ SV34 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_E @ SV34 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[192]) ).

thf(3505,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_E @ SV34 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_E @ SV34 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[192]) ).

thf(3506,plain,
    ! [SV34: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV34 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_E @ SV34 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK223_E @ SV34 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_E @ SV34 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK221_E @ SV34 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[192]) ).

thf(3507,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK224_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK224_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1183]) ).

thf(3508,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK224_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK224_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1183]) ).

thf(3509,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK225_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK225_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1540]) ).

thf(3510,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV89 @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK225_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK225_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1540]) ).

thf(3511,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK227_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK227_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1187]) ).

thf(3512,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK227_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK227_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1187]) ).

thf(3513,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK228_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK228_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1543]) ).

thf(3514,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK228_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK228_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV117 @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1543]) ).

thf(3515,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK230_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK230_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK229_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK229_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[598]) ).

thf(3516,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK230_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK230_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK229_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK229_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[598]) ).

thf(3517,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK231_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK231_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK229_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK229_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[598]) ).

thf(3518,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK231_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK231_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK229_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK229_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[598]) ).

thf(3519,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK233_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK233_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK232_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK232_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[194]) ).

thf(3520,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK233_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK233_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK232_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK232_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[194]) ).

thf(3521,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK234_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK234_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK232_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK232_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[194]) ).

thf(3522,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK234_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK234_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK232_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK232_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[194]) ).

thf(3523,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK236_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK236_E @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK235_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK235_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[194]) ).

thf(3524,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK236_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK236_E @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK235_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK235_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[194]) ).

thf(3525,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK237_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK237_E @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK235_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK235_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[194]) ).

thf(3526,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK237_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK237_E @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK235_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK235_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[194]) ).

thf(3527,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1200]) ).

thf(3528,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK238_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1200]) ).

thf(3529,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1555]) ).

thf(3530,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV92 @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK239_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1555]) ).

thf(3531,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1204]) ).

thf(3532,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK241_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1204]) ).

thf(3533,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK242_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK242_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1558]) ).

thf(3534,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK242_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK242_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV119 @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1558]) ).

thf(3535,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK244_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK244_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK243_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK243_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[607]) ).

thf(3536,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK244_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK244_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK243_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK243_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[607]) ).

thf(3537,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK245_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK245_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK243_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK243_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[607]) ).

thf(3538,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK245_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK245_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK243_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK243_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[607]) ).

thf(3539,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK247_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK247_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK246_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK246_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[196]) ).

thf(3540,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK247_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK247_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK246_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK246_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[196]) ).

thf(3541,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK248_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK248_E @ SV35 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK246_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK246_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[196]) ).

thf(3542,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK248_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK248_E @ SV35 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK246_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK246_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[196]) ).

thf(3543,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK250_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK250_E @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK249_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK249_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[196]) ).

thf(3544,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK250_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK250_E @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK249_E @ SV35 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK249_E @ SV35 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[196]) ).

thf(3545,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK251_E @ SV35 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK251_E @ SV35 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK249_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK249_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[196]) ).

thf(3546,plain,
    ! [SV35: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV35 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK251_E @ SV35 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK251_E @ SV35 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK249_E @ SV35 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK249_E @ SV35 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[196]) ).

thf(3547,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK252_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK252_E )
      = $true ) ),
    inference(extuni,[status(esa)],[376]) ).

thf(3548,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK252_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK252_E )
      = $false ) ),
    inference(extuni,[status(esa)],[376]) ).

thf(3549,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK253_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK253_E )
      = $true ) ),
    inference(extuni,[status(esa)],[516]) ).

thf(3550,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK253_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK253_E )
      = $false ) ),
    inference(extuni,[status(esa)],[516]) ).

thf(3551,plain,
    ! [SV36: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK255_E @ SV36 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK255_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[200]) ).

thf(3552,plain,
    ! [SV36: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK255_E @ SV36 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK255_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[200]) ).

thf(3553,plain,
    ! [SV36: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK256_E @ SV36 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK256_E @ SV36 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[202]) ).

thf(3554,plain,
    ! [SV36: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV36 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK256_E @ SV36 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK256_E @ SV36 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[202]) ).

thf(3555,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK257_E @ SV37 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK257_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[204]) ).

thf(3556,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK257_E @ SV37 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK257_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[204]) ).

thf(3557,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK258_E @ SV37 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK258_E @ SV37 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[206]) ).

thf(3558,plain,
    ! [SV37: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV37 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK258_E @ SV37 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK258_E @ SV37 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[206]) ).

thf(3559,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK259_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK259_E )
      = $true ) ),
    inference(extuni,[status(esa)],[208]) ).

thf(3560,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK259_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK259_E )
      = $false ) ),
    inference(extuni,[status(esa)],[208]) ).

thf(3561,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK260_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK260_E )
      = $true ) ),
    inference(extuni,[status(esa)],[218]) ).

thf(3562,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK260_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK260_E )
      = $false ) ),
    inference(extuni,[status(esa)],[218]) ).

thf(3563,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[43,3562,3561,3560,3559,3558,3557,3556,3555,3554,3553,3552,3551,3550,3549,3548,3547,3546,3545,3544,3543,3542,3541,3540,3539,3538,3537,3536,3535,3534,3533,3532,3531,3530,3529,3528,3527,3526,3525,3524,3523,3522,3521,3520,3519,3518,3517,3516,3515,3514,3513,3512,3511,3510,3509,3508,3507,3506,3505,3504,3503,3502,3501,3500,3499,3498,3497,3496,3495,3494,3493,3492,3491,3490,3489,3488,3487,3486,3485,3484,3483,3482,3481,3480,3479,3478,3477,3476,3475,3474,3473,3472,3471,3470,3469,3468,3467,3466,3465,3464,3463,3462,3461,3460,3459,3458,3457,3456,3455,3454,3453,3452,3451,3450,3449,3448,3447,3446,3445,3444,3443,3442,3441,3440,3439,3438,3437,3436,3435,3434,3433,3432,3431,3430,3429,3428,3427,3426,3425,3424,3423,3422,3421,3420,3419,3418,3417,3416,3415,3414,3413,3412,3411,3410,3409,3408,3407,3406,3405,3404,3403,3402,3401,3400,3399,3398,3397,3396,3395,3394,3393,3392,3391,3390,3389,3388,3387,3386,3385,3384,3383,3382,3381,3380,3379,3378,3377,3376,3375,3374,3373,3372,3371,3370,3369,3368,3367,3366,3365,3364,3363,3358,3357,3356,3355,3354,3353,3352,3351,3330,3329,3328,3327,3326,3325,3324,3323,3320,3319,3318,3317,3314,3313,3312,3311,3310,3309,3308,3307,3304,3303,3302,3301,3282,3281,3280,3279,3278,3277,3276,3275,3274,3273,3272,3271,3268,3267,3266,3265,3262,3261,3260,3259,3256,3255,3254,3253,3246,3245,3244,3243,3242,3241,3240,3239,3234,3233,3232,3231,3228,3227,3226,3225,3222,3221,3220,3219,3216,3215,3214,3213,3206,3205,3204,3203,3202,3201,3200,3199,3194,3193,3192,3191,3188,3187,3186,3185,3182,3181,3180,3179,3176,3175,3174,3173,3166,3165,3164,3163,3162,3161,3160,3159,3154,3153,3152,3151,3148,3147,3146,3145,3142,3141,3140,3139,3136,3135,3134,3133,3126,3125,3124,3123,3122,3121,3120,3119,3114,3113,3112,3111,3108,3107,3106,3105,3102,3101,3100,3099,3096,3095,3094,3093,3086,3085,3084,3083,3082,3081,3080,3079,3074,3073,3072,3071,3068,3067,3066,3065,3062,3061,3060,3059,3056,3055,3054,3053,3046,3045,3044,3043,3042,3041,3040,3039,3034,3033,3032,3031,3028,3027,3026,3025,3022,3021,3020,3019,3016,3015,3014,3013,3006,3005,3004,3003,3002,3001,3000,2999,2994,2993,2992,2991,2988,2987,2986,2985,2982,2981,2980,2979,2976,2975,2974,2973,2966,2965,2964,2963,2962,2961,2960,2959,2898,2897,2896,2895,2892,2891,2890,2889,2882,2881,2880,2879,2878,2877,2876,2875,2870,2869,2868,2867,2864,2863,2862,2861,2854,2853,2852,2851,2850,2849,2848,2847,2734,2728,2727,2724,2723,2699,2698,2689,2683,2682,2679,2678,2641,2635,2634,2588,2582,2581,2578,2577,2571,2565,2564,2561,2560,2554,2548,2547,2544,2543,2537,2531,2530,2527,2526,2520,2514,2513,2510,2509,2503,2497,2496,2493,2492,2486,2480,2479,2476,2475,2469,2463,2462,2459,2458,2416,2223,2222,2212,2211,2201,2200,2190,2189,2179,2178,2168,2167,2157,2156,2146,2145,1943,1935,1927,1919,1911,1903,1895,1887,1397,1037,1036,799,617,616,615,614,613,612,461,460,459,458,457,455,453,451,449,447,341,339,337,335,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,125,123,121,119,117,115,113,111,109,107,105,103,101,99,97,95,94,90,88,85,84,81,80,79,69,66,62,55,54]) ).

thf(3564,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[3563]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV158^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.20  % Computer : n008.cluster.edu
% 0.07/0.20  % Model    : x86_64 x86_64
% 0.07/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20  % Memory   : 8046.5625MB
% 0.07/0.20  % OS       : Linux 6.8.0-71-generic
% 0.07/0.20  % CPULimit : 300
% 0.07/0.20  % WCLimit  : 300
% 0.07/0.20  % DateTime : Tue Oct  6 15:42:09 UTC 2026
% 0.07/0.20  % CPUTime  : 
% 0.07/0.20  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.55/20.70  
% 101.55/20.70   No.of.Axioms: 0
% 101.55/20.70  
% 101.55/20.70   Length.of.Defs: 0
% 101.55/20.70  
% 101.55/20.70   Contains.Choice.Funs: false
% 101.55/20.70  ..........................................................
% 101.55/20.70  
% 101.55/20.70  ********************************
% 101.55/20.70  *   All subproblems solved!    *
% 101.55/20.70  ********************************
% 101.55/20.70  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3563,loop_count:0,foatp_calls:2,translation:fof_full)
% 101.55/20.70  
% 101.55/20.70  %**** Beginning of derivation protocol ****
% 101.55/20.70  % SZS output start CNFRefutation
% See solution above
% 101.55/20.73  
% 101.55/20.73  %**** End of derivation protocol ****
% 101.55/20.73  %**** no. of clauses in derivation: 2258 ****
% 101.55/20.73  %**** clause counter: 3563 ****
% 101.55/20.73  
% 101.55/20.73  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3563,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------