TSTP Solution File: SYO262^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYO262^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 17:33:02 EDT 2022

% Result   : Theorem 233.41s 233.64s
% Output   : CNFRefutation 234.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :  130
% Syntax   : Number of formulae    :  618 (  25 unt; 129 typ;   0 def)
%            Number of atoms       : 12394 (2580 equ;   0 cnn)
%            Maximal formula atoms :    6 (  25 avg)
%            Number of connectives : 58048 (2056   ~;1604   |;   5   &;54383   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 3796 (3796   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  132 ( 129 usr;   9 con; 0-5 aty)
%            Number of variables   : 9433 (8166   ^1267   !;   0   ?;9433   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_cE,type,
    cE: ( $i > $o ) > $i ).

thf(tp_cP,type,
    cP: $i > $i > $o ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK10_E,type,
    sK10_E: ( $i > $i ) > ( $i > $i > $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK11_E,type,
    sK11_E: ( $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

thf(tp_sK12_E,type,
    sK12_E: ( $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK13_E,type,
    sK13_E: ( $i > $i > $i ) > $i ).

thf(tp_sK14_E,type,
    sK14_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).

thf(tp_sK15_E,type,
    sK15_E: ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK16_E,type,
    sK16_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).

thf(tp_sK17_E,type,
    sK17_E: ( $i > $i > $i ) > $i ).

thf(tp_sK18_E,type,
    sK18_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).

thf(tp_sK19_E,type,
    sK19_E: ( $i > $i > $i ) > $i ).

thf(tp_sK1_E,type,
    sK1_E: $i ).

thf(tp_sK20_E,type,
    sK20_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).

thf(tp_sK21_E,type,
    sK21_E: ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK22_E,type,
    sK22_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK23_E,type,
    sK23_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK24_E,type,
    sK24_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).

thf(tp_sK25_E,type,
    sK25_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK26_E,type,
    sK26_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK27_E,type,
    sK27_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK28_E,type,
    sK28_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK29_E,type,
    sK29_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK2_E,type,
    sK2_E: ( $i > $i > $o ) > $i ).

thf(tp_sK30_E,type,
    sK30_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK31_E,type,
    sK31_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK32_E,type,
    sK32_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK33_E,type,
    sK33_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK34_E,type,
    sK34_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK35_E,type,
    sK35_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK36_E,type,
    sK36_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK37_E,type,
    sK37_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK38_E,type,
    sK38_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK39_E,type,
    sK39_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK3_E,type,
    sK3_E: ( $i > $i > $o ) > $i ).

thf(tp_sK40_E,type,
    sK40_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK41_E,type,
    sK41_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK42_E,type,
    sK42_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK43_E,type,
    sK43_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK44_E,type,
    sK44_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK45_E,type,
    sK45_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).

thf(tp_sK46_E,type,
    sK46_E: ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK47_E,type,
    sK47_E: ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK48_E,type,
    sK48_E: ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK49_E,type,
    sK49_E: ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK4_E,type,
    sK4_E: $i ).

thf(tp_sK50_E,type,
    sK50_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).

thf(tp_sK51_E,type,
    sK51_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK52_E,type,
    sK52_E: ( $i > $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK53_E,type,
    sK53_E: ( $i > $i > $i > $i > $o ) > $i ).

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

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

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

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

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

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

thf(tp_sK5_E,type,
    sK5_E: $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK6_E,type,
    sK6_E: $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK7_E,type,
    sK7_E: $i ).

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

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

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

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

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

thf(tp_sK85_E,type,
    sK85_E: ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK86_E,type,
    sK86_E: ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).

thf(tp_sK87_E,type,
    sK87_E: ( $i > $i > $i ) > $i ).

thf(tp_sK88_E,type,
    sK88_E: ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK89_E,type,
    sK89_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK8_E,type,
    sK8_E: $i ).

thf(tp_sK90_E,type,
    sK90_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK91_E,type,
    sK91_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK92_E,type,
    sK92_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK93_E,type,
    sK93_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK94_E,type,
    sK94_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK95_E,type,
    sK95_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK96_E,type,
    sK96_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK97_E,type,
    sK97_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK98_E,type,
    sK98_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK99_E,type,
    sK99_E: ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).

thf(tp_sK9_E,type,
    sK9_E: ( $i > $i ) > $i ).

thf(1,conjecture,
    ~ ( ! [Xx: $i] :
          ( cP @ Xx
          @ ( cE
            @ ^ [Xy: $i] : ( cP @ Xx @ Xy ) ) )
      & ! [Xf: $i > $i] :
          ~ ( cP
            @ ( cE
              @ ^ [Xx: $i] :
                  ~ ( cP @ Xx @ ( Xf @ Xx ) ) )
            @ ( Xf
              @ ( cE
                @ ^ [Xx: $i] :
                    ~ ( cP @ Xx @ ( Xf @ Xx ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM19SK1) ).

thf(2,negated_conjecture,
    ( ( ~ ( ! [Xx: $i] :
              ( cP @ Xx
              @ ( cE
                @ ^ [Xy: $i] : ( cP @ Xx @ Xy ) ) )
          & ! [Xf: $i > $i] :
              ~ ( cP
                @ ( cE
                  @ ^ [Xx: $i] :
                      ~ ( cP @ Xx @ ( Xf @ Xx ) ) )
                @ ( Xf
                  @ ( cE
                    @ ^ [Xx: $i] :
                        ~ ( cP @ Xx @ ( Xf @ Xx ) ) ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ~ ( ! [Xx: $i] :
              ( cP @ Xx
              @ ( cE
                @ ^ [Xy: $i] : ( cP @ Xx @ Xy ) ) )
          & ! [Xf: $i > $i] :
              ~ ( cP
                @ ( cE
                  @ ^ [Xx: $i] :
                      ~ ( cP @ Xx @ ( Xf @ Xx ) ) )
                @ ( Xf
                  @ ( cE
                    @ ^ [Xx: $i] :
                        ~ ( cP @ Xx @ ( Xf @ Xx ) ) ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [Xx: $i] :
          ( cP @ Xx
          @ ( cE
            @ ^ [Xy: $i] : ( cP @ Xx @ Xy ) ) )
      & ! [Xf: $i > $i] :
          ~ ( cP
            @ ( cE
              @ ^ [Xx: $i] :
                  ~ ( cP @ Xx @ ( Xf @ Xx ) ) )
            @ ( Xf
              @ ( cE
                @ ^ [Xx: $i] :
                    ~ ( cP @ Xx @ ( Xf @ Xx ) ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ! [Xx: $i] :
          ( cP @ Xx
          @ ( cE
            @ ^ [Xy: $i] : ( cP @ Xx @ Xy ) ) )
      & ! [Xf: $i > $i] :
          ~ ( cP
            @ ( cE
              @ ^ [Xx: $i] :
                  ~ ( cP @ Xx @ ( Xf @ Xx ) ) )
            @ ( Xf
              @ ( cE
                @ ^ [Xx: $i] :
                    ~ ( cP @ Xx @ ( Xf @ Xx ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[4]) ).

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

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

thf(8,plain,
    ( ( ~ ! [SX0: $i] :
            ( cP @ SX0
            @ ( cE
              @ ^ [SX1: $i] : ( cP @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7]) ).

thf(9,plain,
    ( ( ~ ! [SX0: $i > $i] :
            ~ ( cP
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1 @ ( SX0 @ SX1 ) ) )
              @ ( SX0
                @ ( cE
                  @ ^ [SX1: $i] :
                      ~ ( cP @ SX1 @ ( SX0 @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7]) ).

thf(10,plain,
    ( ( ! [SX0: $i] :
          ( cP @ SX0
          @ ( cE
            @ ^ [SX1: $i] : ( cP @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8]) ).

thf(11,plain,
    ( ( ! [SX0: $i > $i] :
          ~ ( cP
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1 @ ( SX0 @ SX1 ) ) )
            @ ( SX0
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1 @ ( SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9]) ).

thf(12,plain,
    ! [SV1: $i] :
      ( ( cP @ SV1
        @ ( cE
          @ ^ [SY475: $i] : ( cP @ SV1 @ SY475 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10]) ).

thf(13,plain,
    ! [SV2: $i > $i] :
      ( ( ~ ( cP
            @ ( cE
              @ ^ [SY476: $i] :
                  ~ ( cP @ SY476 @ ( SV2 @ SY476 ) ) )
            @ ( SV2
              @ ( cE
                @ ^ [SY477: $i] :
                    ~ ( cP @ SY477 @ ( SV2 @ SY477 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[11]) ).

thf(14,plain,
    ! [SV2: $i > $i] :
      ( ( cP
        @ ( cE
          @ ^ [SY476: $i] :
              ~ ( cP @ SY476 @ ( SV2 @ SY476 ) ) )
        @ ( SV2
          @ ( cE
            @ ^ [SY477: $i] :
                ~ ( cP @ SY477 @ ( SV2 @ SY477 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[13]) ).

thf(15,plain,
    ! [SV3: $i] :
      ( ( cP @ SV3
        @ ( cE
          @ ^ [SX0: $i] : ( cP @ SV3 @ SX0 ) ) )
      = $true ),
    inference(rename,[status(thm)],[12]) ).

thf(16,plain,
    ! [SV4: $i > $i] :
      ( ( cP
        @ ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0 @ ( SV4 @ SX0 ) ) )
        @ ( SV4
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0 @ ( SV4 @ SX0 ) ) ) ) )
      = $false ),
    inference(rename,[status(thm)],[14]) ).

thf(18,plain,
    ! [SV8: $i] :
      ( ( cP @ SV8
        @ ( cE
          @ ^ [SX0: $i] : ( cP @ SV8 @ SX0 ) ) )
      = $true ),
    inference(rename,[status(thm)],[15]) ).

thf(19,plain,
    ! [SV9: $i > $i] :
      ( ( cP
        @ ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) )
        @ ( SV9
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
      = $false ),
    inference(rename,[status(thm)],[16]) ).

thf(20,plain,
    ! [SV9: $i > $i,SV8: $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) )
          @ ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = ( cP @ SV8
          @ ( cE
            @ ^ [SX0: $i] : ( cP @ SV8 @ SX0 ) ) ) )
      = $false ),
    inference(res,[status(thm)],[19,18]) ).

thf(21,plain,
    ! [SV12: $i > $i > $o] :
      ( ( ( cE
          @ ( SV12
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( cE @ ( SV12 @ SX0 ) ) ) ) ) )
        = ( cE
          @ ^ [SX0: $i] :
              ( cP
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1 @ ( cE @ ( SV12 @ SX1 ) ) ) )
              @ SX0 ) ) )
      = $false ),
    inference(extuni,[status(esa)],[20:[bind(SV9,$thf( ^ [SX0: $i] : ( cE @ ( SV12 @ SX0 ) ) )),bind(SV8,$thf( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ ( cE @ ( SV12 @ SX0 ) ) ) ))]]) ).

thf(22,plain,
    ( ( ( ~ ( cP @ sK1_E @ sK1_E ) )
      = $true )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $true ) ),
    inference(extuni,[status(esa)],[20:[bind(SV9,$thf( ^ [SX0: $i] : SX0 )),bind(SV8,$thf( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ SX0 ) ))]]) ).

thf(23,plain,
    ( ( ( ~ ( cP @ sK1_E @ sK1_E ) )
      = $false )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $false ) ),
    inference(extuni,[status(esa)],[20:[bind(SV9,$thf( ^ [SX0: $i] : SX0 )),bind(SV8,$thf( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ SX0 ) ))]]) ).

thf(24,plain,
    ( ( ( cE
        @ ^ [SX0: $i] :
            ~ ( cP @ SX0 @ SX0 ) )
      = ( cE
        @ ^ [SX0: $i] :
            ( cP
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1 @ SX1 ) )
            @ SX0 ) ) )
    = $false ),
    inference(extuni,[status(esa)],[20:[bind(SV9,$thf( ^ [SX0: $i] : SX0 )),bind(SV8,$thf( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ SX0 ) ))]]) ).

thf(25,plain,
    ( ( ( cP @ sK1_E @ sK1_E )
      = $true )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[23]) ).

thf(26,plain,
    ( ( ( cP @ sK1_E @ sK1_E )
      = $false )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(27,plain,
    ! [SV19: $i > $i > $o] :
      ( ( ( cE
          @ ( SV19
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( cE @ ( SV19 @ SX0 ) ) ) ) ) )
        = ( cE
          @ ^ [SX0: $i] :
              ( cP
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1 @ ( cE @ ( SV19 @ SX1 ) ) ) )
              @ SX0 ) ) )
      = $false ),
    inference(rename,[status(thm)],[21]) ).

thf(29,plain,
    ! [SV25: $i > $i > $i,SV24: $i > $i > $i] :
      ( ( ( cP
          @ ( SV24
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) )
          @ ( SV25
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[27:[bind(SV19,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ))]]) ).

thf(30,plain,
    ! [SV25: $i > $i > $i,SV24: $i > $i > $i] :
      ( ( ( cP
          @ ( SV24
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) )
          @ ( SV25
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[27:[bind(SV19,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cP @ ( SV24 @ SX0 @ SX1 ) @ ( SV25 @ SX0 @ SX1 ) ) ))]]) ).

thf(32,plain,
    ( ( ( ~ ( cP @ sK8_E @ sK8_E ) )
      = $true )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK8_E )
      = $true ) ),
    inference(extuni,[status(esa)],[24]) ).

thf(33,plain,
    ( ( ( ~ ( cP @ sK8_E @ sK8_E ) )
      = $false )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK8_E )
      = $false ) ),
    inference(extuni,[status(esa)],[24]) ).

thf(34,plain,
    ( ( ( cP @ sK8_E @ sK8_E )
      = $true )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK8_E )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[33]) ).

thf(35,plain,
    ( ( ( cP @ sK8_E @ sK8_E )
      = $false )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK8_E )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(37,plain,
    ( ( ( ( cP @ sK1_E @ sK1_E )
        = ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E ) )
      = $false )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $false )
    | ( ( cP @ sK1_E @ sK1_E )
      = $true ) ),
    inference(res,[status(thm)],[25,25]) ).

thf(38,plain,
    ( ( ( ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E )
        = ( cP @ sK1_E @ sK1_E ) )
      = $false )
    | ( ( cP @ sK1_E @ sK1_E )
      = $true )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $false ) ),
    inference(res,[status(thm)],[25,25]) ).

thf(40,plain,
    ! [SV9: $i > $i] :
      ( ( ( ( cP @ sK1_E @ sK1_E )
          = ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) )
            @ ( SV9
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E )
        = $false ) ),
    inference(res,[status(thm)],[25,19]) ).

thf(41,plain,
    ! [SV8: $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1 @ SX1 ) )
            @ sK1_E )
          = ( cP @ SV8
            @ ( cE
              @ ^ [SX0: $i] : ( cP @ SV8 @ SX0 ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(res,[status(thm)],[25,18]) ).

thf(42,plain,
    ( ( ( cP @ sK1_E @ sK1_E )
      = $true )
    | ( ( sK1_E
        = ( cE
          @ ^ [SX0: $i] :
              ( cP
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1 @ SX1 ) )
              @ SX0 ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[41:[bind(SV8,$thf( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ SX0 ) ))]]) ).

thf(43,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_E
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[40]) ).

thf(44,plain,
    ( ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $false )
    | ( ( cP @ sK1_E @ sK1_E )
      = $true )
    | ( ( ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        = sK1_E )
      = $false ) ),
    inference(extuni,[status(esa)],[38]) ).

thf(45,plain,
    ( ( ( cP @ sK1_E @ sK1_E )
      = $true )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $false )
    | ( ( sK1_E
        = ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[37]) ).

thf(47,plain,
    ( ( ( ( cP @ sK1_E @ sK1_E )
        = ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E ) )
      = $false )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $true )
    | ( ( cP @ sK1_E @ sK1_E )
      = $false ) ),
    inference(res,[status(thm)],[26,26]) ).

thf(48,plain,
    ( ( ( ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E )
        = ( cP @ sK1_E @ sK1_E ) )
      = $false )
    | ( ( cP @ sK1_E @ sK1_E )
      = $false )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $true ) ),
    inference(res,[status(thm)],[26,26]) ).

thf(52,plain,
    ! [SV9: $i > $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1 @ SX1 ) )
            @ sK1_E )
          = ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) )
            @ ( SV9
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(res,[status(thm)],[26,19]) ).

thf(53,plain,
    ! [SV8: $i] :
      ( ( ( ( cP @ sK1_E @ sK1_E )
          = ( cP @ SV8
            @ ( cE
              @ ^ [SX0: $i] : ( cP @ SV8 @ SX0 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E )
        = $true ) ),
    inference(res,[status(thm)],[26,18]) ).

thf(54,plain,
    ( ( ( cP
        @ ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0 @ SX0 ) )
        @ sK1_E )
      = $true )
    | ( ( sK1_E
        = ( cE
          @ ^ [SX0: $i] : ( cP @ sK1_E @ SX0 ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[53:[bind(SV8,$thf( sK1_E ))]]) ).

thf(55,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( sK9_E @ SV9 )
          = ( SV9 @ ( sK9_E @ SV9 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[52]) ).

thf(56,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK9_E @ SV9 ) @ ( sK9_E @ SV9 ) )
        = $true )
      | ( ( cP @ ( sK9_E @ SV9 ) @ ( SV9 @ ( sK9_E @ SV9 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[52]) ).

thf(57,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK9_E @ SV9 ) @ ( sK9_E @ SV9 ) )
        = $false )
      | ( ( cP @ ( sK9_E @ SV9 ) @ ( SV9 @ ( sK9_E @ SV9 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[52]) ).

thf(58,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK9_E @ SV9 ) @ ( sK9_E @ SV9 ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK9_E @ SV9 ) @ ( SV9 @ ( sK9_E @ SV9 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[52]) ).

thf(59,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK9_E @ SV9 ) @ ( sK9_E @ SV9 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK9_E @ SV9 ) @ ( SV9 @ ( sK9_E @ SV9 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[52]) ).

thf(60,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[52]) ).

thf(63,plain,
    ( ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $true )
    | ( ( cP @ sK1_E @ sK1_E )
      = $false )
    | ( ( ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        = sK1_E )
      = $false ) ),
    inference(extuni,[status(esa)],[48]) ).

thf(64,plain,
    ( ( ( cP @ sK1_E @ sK1_E )
      = $false )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK1_E )
      = $true )
    | ( ( sK1_E
        = ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[47]) ).

thf(65,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ ( sK9_E @ SV9 ) @ ( sK9_E @ SV9 ) )
        = $true )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( ~ ( cP @ ( sK9_E @ SV9 ) @ ( SV9 @ ( sK9_E @ SV9 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[59]) ).

thf(66,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ ( sK9_E @ SV9 ) @ ( sK9_E @ SV9 ) )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( ~ ( cP @ ( sK9_E @ SV9 ) @ ( SV9 @ ( sK9_E @ SV9 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[58]) ).

thf(67,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ ( sK9_E @ SV9 ) @ ( SV9 @ ( sK9_E @ SV9 ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK9_E @ SV9 ) @ ( sK9_E @ SV9 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[65]) ).

thf(68,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ ( sK9_E @ SV9 ) @ ( SV9 @ ( sK9_E @ SV9 ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK9_E @ SV9 ) @ ( sK9_E @ SV9 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(69,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(rename,[status(thm)],[29]) ).

thf(72,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( cP @ sK1_E @ sK1_E ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E )
        = $true ) ),
    inference(res,[status(thm)],[69,26]) ).

thf(74,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( cP
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1 @ SX1 ) )
            @ sK1_E ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(res,[status(thm)],[69,25]) ).

thf(78,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i,SV9: $i > $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) )
            @ ( SV9
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(res,[status(thm)],[69,19]) ).

thf(79,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i,SV9: $i > $i] :
      ( ( ( ( cP
            @ ( SV32
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
            @ ( SV31
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          = ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) )
            @ ( SV9
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(res,[status(thm)],[69,19]) ).

thf(81,plain,
    ! [SV9: $i > $i,SV37: $i > $i > $i > $o,SV31: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV37 @ SX0 @ SX1 ) ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV37 @ SX0 @ SX1 ) ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ( SV37
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV37 @ SX0 @ SX1 ) ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV37 @ SX0 @ SX1 ) ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV37 @ SX0 @ SX1 ) ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV37 @ SX0 @ SX1 ) ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cE @ ( SV37 @ SX0 @ SX1 ) ) ))]]) ).

thf(82,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX1 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX1 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 ))]]) ).

thf(83,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SY500: $i] : ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK10_E @ SV9 @ SV31 ) @ SY500 ) ) )
          = ( SV9 @ ( sK10_E @ SV9 @ SV31 ) ) )
        = $false )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(84,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( cP @ ( sK10_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY500: $i] : ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK10_E @ SV9 @ SV31 ) @ SY500 ) ) ) )
        = $true )
      | ( ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK10_E @ SV9 @ SV31 ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(85,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( cP @ ( sK10_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY500: $i] : ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK10_E @ SV9 @ SV31 ) @ SY500 ) ) ) )
        = $false )
      | ( ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK10_E @ SV9 @ SV31 ) ) )
        = $false )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(86,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK10_E @ SV9 @ SV31 )
              @ ( cE
                @ ^ [SY500: $i] : ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK10_E @ SV9 @ SV31 ) @ SY500 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK10_E @ SV9 @ SV31 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(87,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK10_E @ SV9 @ SV31 )
              @ ( cE
                @ ^ [SY500: $i] : ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK10_E @ SV9 @ SV31 ) @ SY500 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK10_E @ SV9 @ SV31 ) ) ) )
        = $false )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(88,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(89,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SY508: $i] : ( cP @ ( SV32 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) @ ( SV31 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) ) )
          = ( SV9 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[78]) ).

thf(90,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY508: $i] : ( cP @ ( SV32 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) @ ( SV31 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) ) ) )
        = $true )
      | ( ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[78]) ).

thf(91,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY508: $i] : ( cP @ ( SV32 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) @ ( SV31 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) ) ) )
        = $false )
      | ( ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[78]) ).

thf(92,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 )
              @ ( cE
                @ ^ [SY508: $i] : ( cP @ ( SV32 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) @ ( SV31 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[78]) ).

thf(93,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 )
              @ ( cE
                @ ^ [SY508: $i] : ( cP @ ( SV32 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) @ ( SV31 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[78]) ).

thf(94,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[78]) ).

thf(95,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( ( cE
            @ ^ [SY535: $i] : ( cP @ ( SV32 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) @ ( SV31 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) ) )
          = ( sK15_E @ SV31 @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[74]) ).

thf(96,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP @ ( sK15_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY535: $i] : ( cP @ ( SV32 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) @ ( SV31 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) ) ) )
        = $true )
      | ( ( cP @ ( sK15_E @ SV31 @ SV32 ) @ ( sK15_E @ SV31 @ SV32 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[74]) ).

thf(97,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP @ ( sK15_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY535: $i] : ( cP @ ( SV32 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) @ ( SV31 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) ) ) )
        = $false )
      | ( ( cP @ ( sK15_E @ SV31 @ SV32 ) @ ( sK15_E @ SV31 @ SV32 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[74]) ).

thf(98,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( ~ ( cP @ ( sK15_E @ SV31 @ SV32 )
              @ ( cE
                @ ^ [SY535: $i] : ( cP @ ( SV32 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) @ ( SV31 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK15_E @ SV31 @ SV32 ) @ ( sK15_E @ SV31 @ SV32 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[74]) ).

thf(99,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( ~ ( cP @ ( sK15_E @ SV31 @ SV32 )
              @ ( cE
                @ ^ [SY535: $i] : ( cP @ ( SV32 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) @ ( SV31 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK15_E @ SV31 @ SV32 ) @ ( sK15_E @ SV31 @ SV32 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[74]) ).

thf(100,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[74]) ).

thf(101,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          = sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[72]) ).

thf(102,plain,
    ! [SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK10_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY500: $i] : ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK10_E @ SV9 @ SV31 ) @ SY500 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK10_E @ SV9 @ SV31 ) ) ) )
        = $false )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[87]) ).

thf(103,plain,
    ! [SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK10_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY500: $i] : ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK10_E @ SV9 @ SV31 ) @ SY500 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK10_E @ SV9 @ SV31 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[86]) ).

thf(104,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY508: $i] : ( cP @ ( SV32 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) @ ( SV31 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[93]) ).

thf(105,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY508: $i] : ( cP @ ( SV32 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) @ ( SV31 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[92]) ).

thf(106,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK15_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY535: $i] : ( cP @ ( SV32 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) @ ( SV31 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true )
      | ( ( ~ ( cP @ ( sK15_E @ SV31 @ SV32 ) @ ( sK15_E @ SV31 @ SV32 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[99]) ).

thf(107,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK15_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY535: $i] : ( cP @ ( SV32 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) @ ( SV31 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true )
      | ( ( ~ ( cP @ ( sK15_E @ SV31 @ SV32 ) @ ( sK15_E @ SV31 @ SV32 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[98]) ).

thf(108,plain,
    ! [SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK10_E @ SV9 @ SV31 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( cP @ ( sK10_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY500: $i] : ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK10_E @ SV9 @ SV31 ) @ SY500 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[102]) ).

thf(109,plain,
    ! [SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK10_E @ SV9 @ SV31 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( cP @ ( sK10_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY500: $i] : ( cP @ ( sK10_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK10_E @ SV9 @ SV31 ) @ SY500 ) ) ) )
        = $false )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(110,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) ) )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY508: $i] : ( cP @ ( SV32 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) @ ( SV31 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[104]) ).

thf(111,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK12_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY508: $i] : ( cP @ ( SV32 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) @ ( SV31 @ ( sK12_E @ SV9 @ SV31 @ SV32 ) @ SY508 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(112,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK15_E @ SV31 @ SV32 ) @ ( sK15_E @ SV31 @ SV32 ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP @ ( sK15_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY535: $i] : ( cP @ ( SV32 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) @ ( SV31 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[106]) ).

thf(113,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK15_E @ SV31 @ SV32 ) @ ( sK15_E @ SV31 @ SV32 ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP @ ( sK15_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY535: $i] : ( cP @ ( SV32 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) @ ( SV31 @ ( sK15_E @ SV31 @ SV32 ) @ SY535 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(114,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(rename,[status(thm)],[30]) ).

thf(115,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          = ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(res,[status(thm)],[114,69]) ).

thf(117,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          = ( cP
            @ ( SV32
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
            @ ( SV31
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(res,[status(thm)],[114,69]) ).

thf(118,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( ( cP
            @ ( SV133
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
            @ ( SV132
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cP
            @ ( SV32
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
            @ ( SV31
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(res,[status(thm)],[114,69]) ).

thf(119,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          = ( cP
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1 @ SX1 ) )
            @ sK1_E ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(res,[status(thm)],[114,26]) ).

thf(121,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          = ( cP @ sK1_E @ sK1_E ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E )
        = $false ) ),
    inference(res,[status(thm)],[114,25]) ).

thf(123,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV8: $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          = ( cP @ SV8
            @ ( cE
              @ ^ [SX0: $i] : ( cP @ SV8 @ SX0 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(res,[status(thm)],[114,18]) ).

thf(124,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV8: $i] :
      ( ( ( ( cP
            @ ( SV133
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
            @ ( SV132
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cP @ SV8
            @ ( cE
              @ ^ [SX0: $i] : ( cP @ SV8 @ SX0 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(res,[status(thm)],[114,18]) ).

thf(126,plain,
    ! [SV138: $i > $i > $i > $o,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[124:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cE @ ( SV138 @ SX0 @ SX1 ) ) )),bind(SV8,$thf( SV133 @ ( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ ( cE @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) ) @ ( sK3_E @ ^ [SX0: $i] : ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(127,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX1 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX1 ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX1 ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX2 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX2 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[124:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 )),bind(SV8,$thf( SV133 @ ( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ ( cE @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX1 ) ) ) ) @ ( sK3_E @ ^ [SX0: $i] : ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX1 ) ) ))]]) ).

thf(128,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK17_E @ SV133 )
              @ ( cE
                @ ^ [SY566: $i] : ( cP @ ( SV133 @ ( sK17_E @ SV133 ) @ SY566 ) @ ( sK17_E @ SV133 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK17_E @ SV133 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[124:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 )),bind(SV8,$thf( SV133 @ ( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ ( cE @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) ) @ ( sK3_E @ ^ [SX0: $i] : ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ))]]) ).

thf(129,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK17_E @ SV133 )
              @ ( cE
                @ ^ [SY566: $i] : ( cP @ ( SV133 @ ( sK17_E @ SV133 ) @ SY566 ) @ ( sK17_E @ SV133 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK17_E @ SV133 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[124:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 )),bind(SV8,$thf( SV133 @ ( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ ( cE @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) ) @ ( sK3_E @ ^ [SX0: $i] : ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ))]]) ).

thf(130,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[124:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 )),bind(SV8,$thf( SV133 @ ( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ ( cE @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) ) @ ( sK3_E @ ^ [SX0: $i] : ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ))]]) ).

thf(131,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX1: $i] :
                      ~ ( cP @ SX1
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( SV132 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[123:[bind(SV8,$thf( cE @ ^ [SX0: $i] : ~ ( cP @ SX0 @ ( cE @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(132,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) )
          @ sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[121]) ).

thf(133,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( ( cE
            @ ^ [SY612: $i] : ( cP @ ( SV133 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) @ ( SV132 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) ) )
          = ( sK21_E @ SV132 @ SV133 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[119]) ).

thf(134,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP @ ( sK21_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY612: $i] : ( cP @ ( SV133 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) @ ( SV132 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) ) ) )
        = $true )
      | ( ( cP @ ( sK21_E @ SV132 @ SV133 ) @ ( sK21_E @ SV132 @ SV133 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[119]) ).

thf(135,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP @ ( sK21_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY612: $i] : ( cP @ ( SV133 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) @ ( SV132 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) ) ) )
        = $false )
      | ( ( cP @ ( sK21_E @ SV132 @ SV133 ) @ ( sK21_E @ SV132 @ SV133 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[119]) ).

thf(136,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( ~ ( cP @ ( sK21_E @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY612: $i] : ( cP @ ( SV133 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) @ ( SV132 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK21_E @ SV132 @ SV133 ) @ ( sK21_E @ SV132 @ SV133 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[119]) ).

thf(137,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( ~ ( cP @ ( sK21_E @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY612: $i] : ( cP @ ( SV133 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) @ ( SV132 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK21_E @ SV132 @ SV133 ) @ ( sK21_E @ SV132 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[119]) ).

thf(138,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1 @ SX1 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[119]) ).

thf(139,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          = ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          = ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[118]) ).

thf(140,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[117]) ).

thf(141,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(142,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(143,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK27_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK28_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(144,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(145,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(146,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(147,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK29_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK30_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(148,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(149,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(150,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(151,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK31_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK32_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(152,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(153,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) )
          = ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(154,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) )
          = ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(155,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) )
          = ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(156,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) )
          = ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(157,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(158,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(159,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK35_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK36_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(160,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(161,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(162,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(163,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK37_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK38_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(164,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(165,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(166,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(167,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(168,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(169,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(170,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(171,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(172,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(173,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(174,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(175,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(176,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[115]) ).

thf(177,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK17_E @ SV133 )
          @ ( cE
            @ ^ [SY566: $i] : ( cP @ ( SV133 @ ( sK17_E @ SV133 ) @ SY566 ) @ ( sK17_E @ SV133 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK17_E @ SV133 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[129]) ).

thf(178,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK17_E @ SV133 )
          @ ( cE
            @ ^ [SY566: $i] : ( cP @ ( SV133 @ ( sK17_E @ SV133 ) @ SY566 ) @ ( sK17_E @ SV133 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK17_E @ SV133 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[128]) ).

thf(179,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK21_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY612: $i] : ( cP @ ( SV133 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) @ ( SV132 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( ~ ( cP @ ( sK21_E @ SV132 @ SV133 ) @ ( sK21_E @ SV132 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[137]) ).

thf(180,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK21_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY612: $i] : ( cP @ ( SV133 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) @ ( SV132 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( ~ ( cP @ ( sK21_E @ SV132 @ SV133 ) @ ( sK21_E @ SV132 @ SV133 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(181,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[172]) ).

thf(182,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[171]) ).

thf(183,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[170]) ).

thf(184,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[169]) ).

thf(185,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[168]) ).

thf(186,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[167]) ).

thf(187,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[166]) ).

thf(188,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[165]) ).

thf(189,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK21_E @ SV132 @ SV133 ) @ ( sK21_E @ SV132 @ SV133 ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP @ ( sK21_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY612: $i] : ( cP @ ( SV133 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) @ ( SV132 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[179]) ).

thf(190,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK21_E @ SV132 @ SV133 ) @ ( sK21_E @ SV132 @ SV133 ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP @ ( sK21_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY612: $i] : ( cP @ ( SV133 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) @ ( SV132 @ ( sK21_E @ SV132 @ SV133 ) @ SY612 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[180]) ).

thf(191,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[181]) ).

thf(192,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[182]) ).

thf(193,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[183]) ).

thf(194,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK41_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK42_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[184]) ).

thf(195,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[185]) ).

thf(196,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[186]) ).

thf(197,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[187]) ).

thf(198,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK39_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK40_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[188]) ).

thf(199,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( cP
            @ ( SV32
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
            @ ( SV31
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          = ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[69]) ).

thf(200,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( cP
            @ ( SV133
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
            @ ( SV132
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[114]) ).

thf(201,plain,
    ! [SV138: $i > $i > $i > $o,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
          = ( ( cE
              @ ( SV138
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
            = ( cE
              @ ^ [SX0: $i] :
                  ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                  @ SX0 ) ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[126]) ).

thf(203,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
          = ( ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
            = ( cE
              @ ^ [SX0: $i] :
                  ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                  @ SX0 ) ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[130]) ).

thf(205,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( ~ ( ( cP
                @ ( SV32
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
                @ ( SV31
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              | ( cP
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( cP
                  @ ( SV32
                    @ ( cE
                      @ ^ [SX0: $i] :
                          ~ ( cP @ SX0
                            @ ( cE
                              @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
                  @ ( SV31
                    @ ( cE
                      @ ^ [SX0: $i] :
                          ~ ( cP @ SX0
                            @ ( cE
                              @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( cP
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[199]) ).

thf(206,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( ( cP
            @ ( SV32
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
            @ ( SV31
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          = ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[199]) ).

thf(207,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ~ ( ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
                @ ( SV132
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              | ( cP
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX0: $i] :
                          ~ ( cP @ SX0
                            @ ( cE
                              @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
                  @ ( SV132
                    @ ( cE
                      @ ^ [SX0: $i] :
                          ~ ( cP @ SX0
                            @ ( cE
                              @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( cP
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[200]) ).

thf(208,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cP
            @ ( SV133
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
            @ ( SV132
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[200]) ).

thf(209,plain,
    ! [SV138: $i > $i > $i > $o,SV133: $i > $i > $i] :
      ( ( ( ~ ( ( cP
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
              | ( ( cE
                  @ ( SV138
                    @ ( cE
                      @ ^ [SX0: $i] :
                          ~ ( cP @ SX0
                            @ ( cE
                              @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                = ( cE
                  @ ^ [SX0: $i] :
                      ( cP
                      @ ( SV133
                        @ ( cE
                          @ ^ [SX1: $i] :
                              ~ ( cP @ SX1
                                @ ( cE
                                  @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                        @ ( sK3_E
                          @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                      @ SX0 ) ) ) )
          | ~ ( ~ ( cP
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
              | ( ( cE
                  @ ( SV138
                    @ ( cE
                      @ ^ [SX0: $i] :
                          ~ ( cP @ SX0
                            @ ( cE
                              @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
               != ( cE
                  @ ^ [SX0: $i] :
                      ( cP
                      @ ( SV133
                        @ ( cE
                          @ ^ [SX1: $i] :
                              ~ ( cP @ SX1
                                @ ( cE
                                  @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                        @ ( sK3_E
                          @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                      @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[201]) ).

thf(213,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( ( cP
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
              | ( ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
                = ( cE
                  @ ^ [SX0: $i] :
                      ( cP
                      @ ( SV133
                        @ ( cE
                          @ ^ [SX1: $i] :
                              ~ ( cP @ SX1
                                @ ( cE
                                  @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                        @ ( sK3_E
                          @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                      @ SX0 ) ) ) )
          | ~ ( ~ ( cP
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
              | ( ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
               != ( cE
                  @ ^ [SX0: $i] :
                      ( cP
                      @ ( SV133
                        @ ( cE
                          @ ^ [SX1: $i] :
                              ~ ( cP @ SX1
                                @ ( cE
                                  @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                        @ ( sK3_E
                          @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                      @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[203]) ).

thf(217,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( ~ ( ( cP
                @ ( SV32
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
                @ ( SV31
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              | ( cP
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[205]) ).

thf(220,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ~ ( ~ ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX0: $i] :
                          ~ ( cP @ SX0
                            @ ( cE
                              @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
                  @ ( SV132
                    @ ( cE
                      @ ^ [SX0: $i] :
                          ~ ( cP @ SX0
                            @ ( cE
                              @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( cP
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[207]) ).

thf(221,plain,
    ! [SV138: $i > $i > $i > $o,SV133: $i > $i > $i] :
      ( ( ( ~ ( ( cP
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
              | ( ( cE
                  @ ( SV138
                    @ ( cE
                      @ ^ [SX0: $i] :
                          ~ ( cP @ SX0
                            @ ( cE
                              @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                = ( cE
                  @ ^ [SX0: $i] :
                      ( cP
                      @ ( SV133
                        @ ( cE
                          @ ^ [SX1: $i] :
                              ~ ( cP @ SX1
                                @ ( cE
                                  @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                        @ ( sK3_E
                          @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                      @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[209]) ).

thf(222,plain,
    ! [SV138: $i > $i > $i > $o,SV133: $i > $i > $i] :
      ( ( ( ~ ( ~ ( cP
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
              | ( ( cE
                  @ ( SV138
                    @ ( cE
                      @ ^ [SX0: $i] :
                          ~ ( cP @ SX0
                            @ ( cE
                              @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
               != ( cE
                  @ ^ [SX0: $i] :
                      ( cP
                      @ ( SV133
                        @ ( cE
                          @ ^ [SX1: $i] :
                              ~ ( cP @ SX1
                                @ ( cE
                                  @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                        @ ( sK3_E
                          @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                      @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[209]) ).

thf(225,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( ( cP
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
              | ( ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
                = ( cE
                  @ ^ [SX0: $i] :
                      ( cP
                      @ ( SV133
                        @ ( cE
                          @ ^ [SX1: $i] :
                              ~ ( cP @ SX1
                                @ ( cE
                                  @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                        @ ( sK3_E
                          @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                      @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[213]) ).

thf(226,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( ~ ( cP
                  @ ( cE
                    @ ^ [SX0: $i] :
                        ~ ( cP @ SX0
                          @ ( cE
                            @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
              | ( ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
               != ( cE
                  @ ^ [SX0: $i] :
                      ( cP
                      @ ( SV133
                        @ ( cE
                          @ ^ [SX1: $i] :
                              ~ ( cP @ SX1
                                @ ( cE
                                  @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                        @ ( sK3_E
                          @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                      @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[213]) ).

thf(229,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( ( cP
            @ ( SV32
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
            @ ( SV31
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          | ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[217]) ).

thf(232,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ~ ( cP
              @ ( SV133
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
              @ ( SV132
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( cP
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[220]) ).

thf(233,plain,
    ! [SV138: $i > $i > $i > $o,SV133: $i > $i > $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
          | ( ( cE
              @ ( SV138
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
            = ( cE
              @ ^ [SX0: $i] :
                  ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                  @ SX0 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[221]) ).

thf(234,plain,
    ! [SV138: $i > $i > $i > $o,SV133: $i > $i > $i] :
      ( ( ( ~ ( cP
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
          | ( ( cE
              @ ( SV138
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
           != ( cE
              @ ^ [SX0: $i] :
                  ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                  @ SX0 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[222]) ).

thf(237,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ( cP
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
          | ( ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
            = ( cE
              @ ^ [SX0: $i] :
                  ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                  @ SX0 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[225]) ).

thf(238,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( cP
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
          | ( ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
           != ( cE
              @ ^ [SX0: $i] :
                  ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                  @ SX0 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[226]) ).

thf(241,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[229]) ).

thf(244,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ~ ( cP
              @ ( SV133
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
              @ ( SV132
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( cP
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[232]) ).

thf(245,plain,
    ! [SV138: $i > $i > $i > $o,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[233]) ).

thf(246,plain,
    ! [SV138: $i > $i > $i > $o,SV133: $i > $i > $i] :
      ( ( ( ~ ( cP
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( ( ( cE
              @ ( SV138
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
           != ( cE
              @ ^ [SX0: $i] :
                  ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                  @ SX0 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[234]) ).

thf(249,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[237]) ).

thf(250,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( cP
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
        = $true )
      | ( ( ( ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
           != ( cE
              @ ^ [SX0: $i] :
                  ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                  @ SX0 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[238]) ).

thf(254,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[244]) ).

thf(255,plain,
    ! [SV138: $i > $i > $i > $o,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( ( cE
              @ ( SV138
                @ ( cE
                  @ ^ [SX0: $i] :
                      ~ ( cP @ SX0
                        @ ( cE
                          @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK3_E
                  @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
           != ( cE
              @ ^ [SX0: $i] :
                  ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                  @ SX0 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[246]) ).

thf(257,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ( ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
           != ( cE
              @ ^ [SX0: $i] :
                  ( cP
                  @ ( SV133
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                  @ SX0 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(260,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[254]) ).

thf(261,plain,
    ! [SV133: $i > $i > $i,SV138: $i > $i > $i > $o] :
      ( ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ( SV138
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( cE @ ( SV138 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ ( cE @ ( SV138 @ SX1 @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[255]) ).

thf(263,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[257]) ).

thf(265,plain,
    ! [SV365: $i > $i > $i > $i > $o,SV305: $i > $i > $i > $o] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV365 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV365 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ( SV365
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV365 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV365 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV365 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ( SV305
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV365 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV365 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV365 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[206:[bind(SV31,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_E @ ( SV365 @ SX0 @ SX1 ) ) )),bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cE @ ( SV305 @ SX0 @ SX1 ) ) ))]]) ).

thf(266,plain,
    ! [SV305: $i > $i > $i > $o] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX1 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX1 ) ) )
        = $true )
      | ( ( ( cE
            @ ( SV305
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX1 ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX1 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[206:[bind(SV31,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 )),bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cE @ ( SV305 @ SX0 @ SX1 ) ) ))]]) ).

thf(267,plain,
    ! [SV305: $i > $i > $i > $o] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX0 ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX0 ) ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX0 ) ) )
        = $false )
      | ( ( ( cE
            @ ( SV305
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX0 ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV305 @ SX0 @ SX1 ) ) @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[206:[bind(SV31,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 )),bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cE @ ( SV305 @ SX0 @ SX1 ) ) ))]]) ).

thf(268,plain,
    ! [SV325: $i > $i > $i > $i > $o] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV325 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV325 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ( SV325
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV325 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV325 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV325 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV325 @ SX0 @ SX1 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV325 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[206:[bind(SV31,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_E @ ( SV325 @ SX0 @ SX1 ) ) )),bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 ))]]) ).

thf(269,plain,
    ( ( ( cP
        @ ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX1 @ SX1 ) ) ) )
        @ ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ SX1 ) ) )
      = $true )
    | ( ( ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ SX1 ) )
        = ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX1 @ SX1 ) ) ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[206:[bind(SV31,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 )),bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 ))]]) ).

thf(270,plain,
    ( ( ( cP
        @ ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX1 @ SX0 ) ) ) )
        @ ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ SX0 ) ) )
      = $true )
    | ( ( ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX1 @ SX0 ) ) ) )
        = ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ SX0 ) ) )
      = $false )
    | ( ( ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ SX0 ) )
        = ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX1 @ SX0 ) ) ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[206:[bind(SV31,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 )),bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 ))]]) ).

thf(271,plain,
    ! [SV310: $i > $i > $i > $i > $o] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( sK3_E @ ( SV310 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( sK3_E @ ( SV310 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ( SV310
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ SX0 @ ( sK3_E @ ( SV310 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( sK3_E @ ( SV310 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( sK3_E @ ( SV310 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[206:[bind(SV31,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_E @ ( SV310 @ SX0 @ SX1 ) ) )),bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(272,plain,
    ( ( cP
      @ ( cE
        @ ^ [SX0: $i] :
            ~ ( cP @ SX0
              @ ( cE
                @ ^ [SX1: $i] : ( cP @ SX0 @ SX1 ) ) ) )
      @ ( sK3_E
        @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extuni,[status(esa)],[206:[bind(SV31,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 )),bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(273,plain,
    ( ( ( cP
        @ ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX0 @ SX0 ) ) ) )
        @ ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ SX0 ) ) )
      = $true )
    | ( ( ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX0 @ SX0 ) ) ) )
        = ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ SX0 ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[206:[bind(SV31,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 )),bind(SV32,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(274,plain,
    ! [SV440: $i > $i > $i > $i > $o,SV380: $i > $i > $i > $o] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV440 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV440 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ( SV440
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV440 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV440 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV440 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ( SV380
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV440 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV440 @ SX0 @ SX1 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ ( sK3_E @ ( SV440 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[208:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_E @ ( SV440 @ SX0 @ SX1 ) ) )),bind(SV133,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cE @ ( SV380 @ SX0 @ SX1 ) ) ))]]) ).

thf(275,plain,
    ! [SV380: $i > $i > $i > $o] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX1 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX1 ) ) )
        = $false )
      | ( ( ( cE
            @ ( SV380
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX1 ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX1 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[208:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 )),bind(SV133,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cE @ ( SV380 @ SX0 @ SX1 ) ) ))]]) ).

thf(276,plain,
    ! [SV380: $i > $i > $i > $o] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX0 ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX0 ) ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX0 ) ) )
        = $false )
      | ( ( ( cE
            @ ( SV380
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX0 ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( cE @ ( SV380 @ SX0 @ SX1 ) ) @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[208:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 )),bind(SV133,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cE @ ( SV380 @ SX0 @ SX1 ) ) ))]]) ).

thf(277,plain,
    ! [SV400: $i > $i > $i > $i > $o] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV400 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV400 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ( SV400
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV400 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV400 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV400 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV400 @ SX0 @ SX1 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX1 @ ( sK3_E @ ( SV400 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[208:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_E @ ( SV400 @ SX0 @ SX1 ) ) )),bind(SV133,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 ))]]) ).

thf(278,plain,
    ( ( ( cP
        @ ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX1 @ SX1 ) ) ) )
        @ ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ SX1 ) ) )
      = $false )
    | ( ( ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ SX1 ) )
        = ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX1 @ SX1 ) ) ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[208:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 )),bind(SV133,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 ))]]) ).

thf(279,plain,
    ( ( ( cP
        @ ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX1 @ SX0 ) ) ) )
        @ ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ SX0 ) ) )
      = $false )
    | ( ( ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX1 @ SX0 ) ) ) )
        = ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ SX0 ) ) )
      = $false )
    | ( ( ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX1 @ SX0 ) )
        = ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX1 @ SX0 ) ) ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[208:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 )),bind(SV133,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 ))]]) ).

thf(280,plain,
    ! [SV385: $i > $i > $i > $i > $o] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( sK3_E @ ( SV385 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( sK3_E @ ( SV385 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ( SV385
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] : ( cP @ SX0 @ ( sK3_E @ ( SV385 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( sK3_E @ ( SV385 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( sK3_E @ ( SV385 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[208:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( sK3_E @ ( SV385 @ SX0 @ SX1 ) ) )),bind(SV133,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(281,plain,
    ( ( cP
      @ ( cE
        @ ^ [SX0: $i] :
            ~ ( cP @ SX0
              @ ( cE
                @ ^ [SX1: $i] : ( cP @ SX0 @ SX1 ) ) ) )
      @ ( sK3_E
        @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extuni,[status(esa)],[208:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX1 )),bind(SV133,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(282,plain,
    ( ( ( cP
        @ ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX0 @ SX0 ) ) ) )
        @ ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ SX0 ) ) )
      = $false )
    | ( ( ( cE
          @ ^ [SX0: $i] :
              ~ ( cP @ SX0
                @ ( cE
                  @ ^ [SX1: $i] : ( cP @ SX0 @ SX0 ) ) ) )
        = ( sK3_E
          @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ SX0 ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[208:[bind(SV132,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 )),bind(SV133,$thf( ^ [SX0: $i] : ^ [SX1: $i] : SX0 ))]]) ).

thf(283,plain,
    ! [SV466: $i > $i > $i > $i > $i > $i > $o,SV465: $i > $i > $i > $i > $i > $i,SV133: $i > $i > $i,SV457: $i > $i > $i > $i] :
      ( ( ( ( sK60_E
            @ ( SV465
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK60_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( SV466
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK60_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          = ( sK60_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV457
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( sK60_E @ ( SV465 @ SX1 @ SX2 @ SX3 ) @ ( SV466 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( sK60_E @ ( SV465 @ SX1 @ SX2 @ SX3 ) @ ( SV466 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
                  @ SX0 )
                @ ( sK60_E
                  @ ( SV465
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] :
                                  ( cP @ ( SV133 @ SX1 @ SX2 )
                                  @ ( cE
                                    @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( sK60_E @ ( SV465 @ SX1 @ SX2 @ SX3 ) @ ( SV466 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( sK60_E @ ( SV465 @ SX1 @ SX2 @ SX3 ) @ ( SV466 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
                    @ SX0 )
                  @ ( SV466
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] :
                                  ( cP @ ( SV133 @ SX1 @ SX2 )
                                  @ ( cE
                                    @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( sK60_E @ ( SV465 @ SX1 @ SX2 @ SX3 ) @ ( SV466 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( sK60_E @ ( SV465 @ SX1 @ SX2 @ SX3 ) @ ( SV466 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
                    @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( sK60_E @ ( SV465 @ SX1 @ SX2 @ SX3 ) @ ( SV466 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( sK60_E @ ( SV465 @ SX1 @ SX2 @ SX3 ) @ ( SV466 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
        = $true )
      | ( ( ( SV457
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
            @ ( sK60_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[245:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( sK60_E @ ( SV465 @ SX0 @ SX1 @ SX2 ) @ ( SV466 @ SX0 @ SX1 @ SX2 ) ) ) ))]]) ).

thf(284,plain,
    ! [SV133: $i > $i > $i,SV457: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV457
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) )
                  @ SX0 )
                @ SX0 ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) )
        = $true )
      | ( ( ( SV457
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) )
            @ ( sK60_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[245:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ))]]) ).

thf(285,plain,
    ! [SV133: $i > $i > $i,SV457: $i > $i > $i > $i] :
      ( ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
          = ( sK60_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV457
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) )
                  @ SX0 )
                @ ( sK3_E
                  @ ^ [SX1: $i,SX2: $i] :
                      ( cP @ ( SV133 @ SX1 @ SX2 )
                      @ ( cE
                        @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV457
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK60_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[245:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ))]]) ).

thf(286,plain,
    ! [SV133: $i > $i > $i,SV457: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          = ( sK60_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV457
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) )
                  @ SX0 )
                @ ( cE
                  @ ^ [SX1: $i] :
                      ~ ( cP @ SX1
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ( cP @ ( SV133 @ SX1 @ SX2 )
                              @ ( cE
                                @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) )
        = $true )
      | ( ( ( SV457
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) )
            @ ( sK60_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[245:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ))]]) ).

thf(287,plain,
    ! [SV458: $i > $i > $i > $i,SV133: $i > $i > $i,SV457: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV457
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK60_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV458
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK60_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          @ ( sK60_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV457
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) )
                  @ SX0 )
                @ ( SV458
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) )
                  @ SX0 ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[245:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(288,plain,
    ! [SV458: $i > $i > $i > $i,SV133: $i > $i > $i,SV457: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV457
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK60_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV458
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK60_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          @ ( sK60_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV457
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) )
                  @ SX0 )
                @ ( SV458
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) )
                  @ SX0 ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV457 @ SX1 @ SX2 @ SX3 ) @ ( SV458 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[245:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV457 @ SX0 @ SX1 @ SX2 ) @ ( SV458 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(289,plain,
    ! [SV482: $i > $i > $i > $i > $i > $i > $o,SV481: $i > $i > $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( sK61_E
            @ ( SV481
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1
                      @ ( cE
                        @ ^ [SX2: $i] :
                            ( cP @ ( SV133 @ SX1 @ SX2 )
                            @ ( cE
                              @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX1: $i,SX2: $i] :
                    ( cP @ ( SV133 @ SX1 @ SX2 )
                    @ ( cE
                      @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
              @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) )
            @ ( SV482
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1
                      @ ( cE
                        @ ^ [SX2: $i] :
                            ( cP @ ( SV133 @ SX1 @ SX2 )
                            @ ( cE
                              @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX1: $i,SX2: $i] :
                    ( cP @ ( SV133 @ SX1 @ SX2 )
                    @ ( cE
                      @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
              @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) ) )
          = ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK61_E
            @ ( SV481
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( SV482
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
            @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ))]]) ).

thf(290,plain,
    ! [SV482: $i > $i > $i > $i > $i > $i > $o,SV481: $i > $i > $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
            @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) )
          @ ( sK61_E
            @ ( SV481
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1
                      @ ( cE
                        @ ^ [SX2: $i] :
                            ( cP @ ( SV133 @ SX1 @ SX2 )
                            @ ( cE
                              @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX1: $i,SX2: $i] :
                    ( cP @ ( SV133 @ SX1 @ SX2 )
                    @ ( cE
                      @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
              @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) )
            @ ( SV482
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1
                      @ ( cE
                        @ ^ [SX2: $i] :
                            ( cP @ ( SV133 @ SX1 @ SX2 )
                            @ ( cE
                              @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX1: $i,SX2: $i] :
                    ( cP @ ( SV133 @ SX1 @ SX2 )
                    @ ( cE
                      @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
              @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
          @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK61_E
            @ ( SV481
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( SV482
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ))]]) ).

thf(291,plain,
    ! [SV482: $i > $i > $i > $i > $i > $i > $o,SV481: $i > $i > $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
            @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) )
          @ ( sK61_E
            @ ( SV481
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1
                      @ ( cE
                        @ ^ [SX2: $i] :
                            ( cP @ ( SV133 @ SX1 @ SX2 )
                            @ ( cE
                              @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX1: $i,SX2: $i] :
                    ( cP @ ( SV133 @ SX1 @ SX2 )
                    @ ( cE
                      @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
              @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) )
            @ ( SV482
              @ ( cE
                @ ^ [SX1: $i] :
                    ~ ( cP @ SX1
                      @ ( cE
                        @ ^ [SX2: $i] :
                            ( cP @ ( SV133 @ SX1 @ SX2 )
                            @ ( cE
                              @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX1: $i,SX2: $i] :
                    ( cP @ ( SV133 @ SX1 @ SX2 )
                    @ ( cE
                      @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
              @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
          @ ( sK65_E @ SV482 @ SV481 @ SV133 @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK61_E
            @ ( SV481
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( SV482
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ))]]) ).

thf(292,plain,
    ! [SV482: $i > $i > $i > $i > $i > $i > $o,SV481: $i > $i > $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV473
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
                  @ SX0 )
                @ ( sK61_E
                  @ ( SV481
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] :
                                  ( cP @ ( SV133 @ SX1 @ SX2 )
                                  @ ( cE
                                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
                    @ SX0 )
                  @ ( SV482
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ~ ( cP @ SX1
                            @ ( cE
                              @ ^ [SX2: $i] :
                                  ( cP @ ( SV133 @ SX1 @ SX2 )
                                  @ ( cE
                                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
                    @ ( sK3_E
                      @ ^ [SX1: $i,SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
                    @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( sK61_E @ ( SV481 @ SX1 @ SX2 @ SX3 ) @ ( SV482 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK61_E
            @ ( SV481
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( SV482
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK61_E @ ( SV481 @ SX0 @ SX1 @ SX2 ) @ ( SV482 @ SX0 @ SX1 @ SX2 ) ) ) ))]]) ).

thf(293,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) )
            @ ( sK64_E @ SV133 @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ))]]) ).

thf(294,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) )
            @ ( sK64_E @ SV133 @ SV473 ) )
          @ ( sK64_E @ SV133 @ SV473 ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) )
          @ ( sK64_E @ SV133 @ SV473 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ))]]) ).

thf(295,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) )
            @ ( sK64_E @ SV133 @ SV473 ) )
          @ ( sK64_E @ SV133 @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) )
          @ ( sK64_E @ SV133 @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ))]]) ).

thf(296,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV473
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) )
                  @ SX0 )
                @ SX0 ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ))]]) ).

thf(297,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( sK3_E
            @ ^ [SX1: $i,SX2: $i] :
                ( cP @ ( SV133 @ SX1 @ SX2 )
                @ ( cE
                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) )
          = ( sK63_E @ SV133 @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) )
            @ ( sK63_E @ SV133 @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ))]]) ).

thf(298,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) )
            @ ( sK63_E @ SV133 @ SV473 ) )
          @ ( sK3_E
            @ ^ [SX1: $i,SX2: $i] :
                ( cP @ ( SV133 @ SX1 @ SX2 )
                @ ( cE
                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) )
          @ ( sK63_E @ SV133 @ SV473 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ))]]) ).

thf(299,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) )
            @ ( sK63_E @ SV133 @ SV473 ) )
          @ ( sK3_E
            @ ^ [SX1: $i,SX2: $i] :
                ( cP @ ( SV133 @ SX1 @ SX2 )
                @ ( cE
                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) )
          @ ( sK63_E @ SV133 @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ))]]) ).

thf(300,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV473
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) )
                  @ SX0 )
                @ ( sK3_E
                  @ ^ [SX1: $i,SX2: $i] :
                      ( cP @ ( SV133 @ SX1 @ SX2 )
                      @ ( cE
                        @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX2 ) ) ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ))]]) ).

thf(301,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
          = ( sK62_E @ SV133 @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) )
            @ ( sK62_E @ SV133 @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ))]]) ).

thf(302,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) )
            @ ( sK62_E @ SV133 @ SV473 ) )
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) )
          @ ( sK62_E @ SV133 @ SV473 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ))]]) ).

thf(303,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) )
            @ ( sK62_E @ SV133 @ SV473 ) )
          @ ( cE
            @ ^ [SX1: $i] :
                ~ ( cP @ SX1
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) )
          @ ( sK62_E @ SV133 @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ))]]) ).

thf(304,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV473
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) )
                  @ SX0 )
                @ ( cE
                  @ ^ [SX1: $i] :
                      ~ ( cP @ SX1
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ( cP @ ( SV133 @ SX1 @ SX2 )
                              @ ( cE
                                @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ) ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          = ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ))]]) ).

thf(305,plain,
    ! [SV491: $i > $i > $i > $i > $i > $i > $i,SV490: $i > $i > $i > $i > $i > $i,SV489: $i > $i > $i > $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( sK66_E
            @ ( SV489
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK66_E
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) )
                @ SV133
                @ SV473 ) )
            @ ( SV490
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK66_E
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) )
                @ SV133
                @ SV473 ) )
            @ ( SV491
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK66_E
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) )
                @ SV133
                @ SV473 ) ) )
          = ( sK66_E
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) )
            @ SV133
            @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) )
          @ ( sK66_E
            @ ( SV489
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( SV490
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( SV491
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) )
              @ SV133
              @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK66_E @ ( SV489 @ SX0 @ SX1 @ SX2 ) @ ( SV490 @ SX0 @ SX1 @ SX2 ) @ ( SV491 @ SX0 @ SX1 @ SX2 ) ) ) ))]]) ).

thf(306,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
        = $true )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : SX2
              @ SV133
              @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ))]]) ).

thf(307,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
          = ( sK66_E
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : SX1
            @ SV133
            @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
        = $true )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : SX1
              @ SV133
              @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ))]]) ).

thf(308,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          = ( sK66_E
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : SX0
            @ SV133
            @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
        = $true )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : SX0
              @ SV133
              @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ))]]) ).

thf(309,plain,
    ! [SV474: $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
            @ ( sK66_E @ SV474 @ SV133 @ SV473 ) )
          @ ( SV474
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
            @ ( sK66_E @ SV474 @ SV133 @ SV473 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
          @ ( sK66_E @ SV474 @ SV133 @ SV473 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV474
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(310,plain,
    ! [SV474: $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
            @ ( sK66_E @ SV474 @ SV133 @ SV473 ) )
          @ ( SV474
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
            @ ( sK66_E @ SV474 @ SV133 @ SV473 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
          @ ( sK66_E @ SV474 @ SV133 @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV474
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(311,plain,
    ! [SV474: $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV473
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
                  @ SX0 )
                @ ( SV474
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
                  @ SX0 ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV474
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(312,plain,
    ! [SV515: $i > $i > $i > $i > $i > $i > $i,SV514: $i > $i > $i > $i > $i > $i,SV513: $i > $i > $i > $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( sK70_E
            @ ( SV513
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK70_E
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) )
                @ SV133
                @ SV473 ) )
            @ ( SV514
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK70_E
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) )
                @ SV133
                @ SV473 ) )
            @ ( SV515
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK70_E
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) )
                @ SV133
                @ SV473 ) ) )
          = ( sK70_E
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) )
            @ SV133
            @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) )
          @ ( sK70_E
            @ ( SV513
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( SV514
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( SV515
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK61_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
            @ ( sK70_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) )
              @ SV133
              @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( sK70_E @ ( SV513 @ SX0 @ SX1 @ SX2 ) @ ( SV514 @ SX0 @ SX1 @ SX2 ) @ ( SV515 @ SX0 @ SX1 @ SX2 ) ) ) ))]]) ).

thf(313,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) )
            @ ( sK70_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : SX2
              @ SV133
              @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ))]]) ).

thf(314,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
          = ( sK70_E
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : SX1
            @ SV133
            @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK70_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : SX1
              @ SV133
              @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ))]]) ).

thf(315,plain,
    ! [SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          = ( sK70_E
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : SX0
            @ SV133
            @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
        = $false )
      | ( ( ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) )
            @ ( sK70_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : SX0
              @ SV133
              @ SV473 ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ))]]) ).

thf(316,plain,
    ! [SV474: $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
            @ ( sK70_E @ SV474 @ SV133 @ SV473 ) )
          @ ( SV474
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
            @ ( sK70_E @ SV474 @ SV133 @ SV473 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
          @ ( sK70_E @ SV474 @ SV133 @ SV473 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV474
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(317,plain,
    ! [SV474: $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
            @ ( sK70_E @ SV474 @ SV133 @ SV473 ) )
          @ ( SV474
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
            @ ( sK70_E @ SV474 @ SV133 @ SV473 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ( cP @ ( SV133 @ SX1 @ SX2 )
                          @ ( cE
                            @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] :
                  ( cP @ ( SV133 @ SX1 @ SX2 )
                  @ ( cE
                    @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
          @ ( sK70_E @ SV474 @ SV133 @ SV473 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV474
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(318,plain,
    ! [SV474: $i > $i > $i > $i,SV133: $i > $i > $i,SV473: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV473
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
                  @ SX0 )
                @ ( SV474
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) )
                  @ SX0 ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ( cP @ ( SV133 @ SX1 @ SX2 )
                                @ ( cE
                                  @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] :
                        ( cP @ ( SV133 @ SX1 @ SX2 )
                        @ ( cE
                          @ ^ [SX3: $i] : ( cP @ ( SV473 @ SX1 @ SX2 @ SX3 ) @ ( SV474 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV473
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV474
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK61_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          @ ( sK61_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[261:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV473 @ SX0 @ SX1 @ SX2 ) @ ( SV474 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(319,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK74_E @ SV133 )
              @ ( cE
                @ ^ [SY1019: $i] : ( cP @ ( SV133 @ ( sK74_E @ SV133 ) @ SY1019 ) @ ( sK74_E @ SV133 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK74_E @ SV133 ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[249]) ).

thf(320,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK74_E @ SV133 )
              @ ( cE
                @ ^ [SY1019: $i] : ( cP @ ( SV133 @ ( sK74_E @ SV133 ) @ SY1019 ) @ ( sK74_E @ SV133 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK74_E @ SV133 ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[249]) ).

thf(321,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK76_E @ SV133 )
              @ ( cE
                @ ^ [SY1029: $i] : ( cP @ ( SV133 @ ( sK76_E @ SV133 ) @ SY1029 ) @ ( sK76_E @ SV133 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK76_E @ SV133 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK75_E @ SV133 )
              @ ( cE
                @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[263]) ).

thf(322,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK76_E @ SV133 )
              @ ( cE
                @ ^ [SY1029: $i] : ( cP @ ( SV133 @ ( sK76_E @ SV133 ) @ SY1029 ) @ ( sK76_E @ SV133 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK76_E @ SV133 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK75_E @ SV133 )
              @ ( cE
                @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[263]) ).

thf(323,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK75_E @ SV133 )
              @ ( cE
                @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[263]) ).

thf(324,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK77_E @ SV133 )
              @ ( cE
                @ ^ [SY1034: $i] : ( cP @ ( SV133 @ ( sK77_E @ SV133 ) @ SY1034 ) @ ( sK77_E @ SV133 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK77_E @ SV133 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK75_E @ SV133 )
              @ ( cE
                @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[263]) ).

thf(325,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK77_E @ SV133 )
              @ ( cE
                @ ^ [SY1034: $i] : ( cP @ ( SV133 @ ( sK77_E @ SV133 ) @ SY1034 ) @ ( sK77_E @ SV133 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK77_E @ SV133 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK75_E @ SV133 )
              @ ( cE
                @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[263]) ).

thf(326,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK75_E @ SV133 )
              @ ( cE
                @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[263]) ).

thf(327,plain,
    ( ( ( ~ ( cP @ sK78_E @ sK78_E ) )
      = $true )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK78_E )
      = $true ) ),
    inference(extuni,[status(esa)],[24]) ).

thf(328,plain,
    ( ( ( ~ ( cP @ sK78_E @ sK78_E ) )
      = $false )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK78_E )
      = $false ) ),
    inference(extuni,[status(esa)],[24]) ).

thf(329,plain,
    ! [SV536: $i > $i > $i,SV535: $i > $i > $i] :
      ( ( ( cP
          @ ( SV535
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK79_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) )
          @ ( SV536
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK79_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK79_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[27:[bind(SV19,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ))]]) ).

thf(330,plain,
    ! [SV536: $i > $i > $i,SV535: $i > $i > $i] :
      ( ( ( cP
          @ ( SV535
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK79_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) )
          @ ( SV536
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK79_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK79_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[27:[bind(SV19,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( cP @ ( SV535 @ SX0 @ SX1 ) @ ( SV536 @ SX0 @ SX1 ) ) ))]]) ).

thf(331,plain,
    ! [SV9: $i > $i] :
      ( ( ( ( sK81_E @ SV9 )
          = ( SV9 @ ( sK81_E @ SV9 ) ) )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[60]) ).

thf(332,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ ( sK81_E @ SV9 ) @ ( sK81_E @ SV9 ) )
        = $true )
      | ( ( cP @ ( sK81_E @ SV9 ) @ ( SV9 @ ( sK81_E @ SV9 ) ) )
        = $true )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[60]) ).

thf(333,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ ( sK81_E @ SV9 ) @ ( sK81_E @ SV9 ) )
        = $false )
      | ( ( cP @ ( sK81_E @ SV9 ) @ ( SV9 @ ( sK81_E @ SV9 ) ) )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[60]) ).

thf(334,plain,
    ! [SV9: $i > $i] :
      ( ( ( ~ ( cP @ ( sK81_E @ SV9 ) @ ( sK81_E @ SV9 ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK81_E @ SV9 ) @ ( SV9 @ ( sK81_E @ SV9 ) ) ) )
        = $true )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[60]) ).

thf(335,plain,
    ! [SV9: $i > $i] :
      ( ( ( ~ ( cP @ ( sK81_E @ SV9 ) @ ( sK81_E @ SV9 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK81_E @ SV9 ) @ ( SV9 @ ( sK81_E @ SV9 ) ) ) )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[60]) ).

thf(336,plain,
    ! [SV9: $i > $i,SV578: $i > $i > $i > $i,SV577: $i > $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP
          @ ( SV577
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) )
            @ ( sK82_E @ SV9 @ SV31
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV578
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) )
            @ ( sK82_E @ SV9 @ SV31
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( sK82_E @ SV9 @ SV31
            @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
          @ ( SV9
            @ ( sK82_E @ SV9 @ SV31
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[81:[bind(SV37,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(337,plain,
    ! [SV9: $i > $i,SV578: $i > $i > $i > $i,SV577: $i > $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP
          @ ( SV577
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) )
            @ ( sK82_E @ SV9 @ SV31
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV578
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) )
            @ ( sK82_E @ SV9 @ SV31
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( sK82_E @ SV9 @ SV31
            @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
          @ ( SV9
            @ ( sK82_E @ SV9 @ SV31
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[81:[bind(SV37,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ~ ( cP @ ( SV577 @ SX0 @ SX1 @ SX2 ) @ ( SV578 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(338,plain,
    ! [SV9: $i > $i,SV570: $i > $i > $i > $o,SV31: $i > $i > $i] :
      ( ( ( ~ ( SV570
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP
                            @ ( cE
                              @ ^ [SX2: $i] :
                                  ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                            @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                    @ ( SV31 @ SX0 @ SX1 ) ) )
              @ ( sK82_E @ SV9 @ SV31
                @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                    ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $true )
      | ( ( ~ ( cP
              @ ( sK82_E @ SV9 @ SV31
                @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                    ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
              @ ( SV9
                @ ( sK82_E @ SV9 @ SV31
                  @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[81:[bind(SV37,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ))]]) ).

thf(339,plain,
    ! [SV9: $i > $i,SV570: $i > $i > $i > $o,SV31: $i > $i > $i] :
      ( ( ( ~ ( SV570
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP
                            @ ( cE
                              @ ^ [SX2: $i] :
                                  ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                            @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP
                    @ ( cE
                      @ ^ [SX2: $i] :
                          ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                    @ ( SV31 @ SX0 @ SX1 ) ) )
              @ ( sK82_E @ SV9 @ SV31
                @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                    ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $false )
      | ( ( ~ ( cP
              @ ( sK82_E @ SV9 @ SV31
                @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                    ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
              @ ( SV9
                @ ( sK82_E @ SV9 @ SV31
                  @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[81:[bind(SV37,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ))]]) ).

thf(340,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1069: $i] : ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK83_E @ SV9 @ SV31 ) @ SY1069 ) ) )
          = ( SV9 @ ( sK83_E @ SV9 @ SV31 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[88]) ).

thf(341,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK83_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY1069: $i] : ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK83_E @ SV9 @ SV31 ) @ SY1069 ) ) ) )
        = $true )
      | ( ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK83_E @ SV9 @ SV31 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[88]) ).

thf(342,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK83_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY1069: $i] : ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK83_E @ SV9 @ SV31 ) @ SY1069 ) ) ) )
        = $false )
      | ( ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK83_E @ SV9 @ SV31 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[88]) ).

thf(343,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK83_E @ SV9 @ SV31 )
              @ ( cE
                @ ^ [SY1069: $i] : ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK83_E @ SV9 @ SV31 ) @ SY1069 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK83_E @ SV9 @ SV31 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[88]) ).

thf(344,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK83_E @ SV9 @ SV31 )
              @ ( cE
                @ ^ [SY1069: $i] : ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK83_E @ SV9 @ SV31 ) @ SY1069 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK83_E @ SV9 @ SV31 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[88]) ).

thf(345,plain,
    ! [SV31: $i > $i > $i,SV9: $i > $i,SV32: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1070: $i] : ( cP @ ( SV32 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) @ ( SV31 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) ) )
          = ( SV9 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[94]) ).

thf(346,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1070: $i] : ( cP @ ( SV32 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) @ ( SV31 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) ) ) )
        = $true )
      | ( ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[94]) ).

thf(347,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1070: $i] : ( cP @ ( SV32 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) @ ( SV31 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) ) ) )
        = $false )
      | ( ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[94]) ).

thf(348,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( ~ ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 )
              @ ( cE
                @ ^ [SY1070: $i] : ( cP @ ( SV32 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) @ ( SV31 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[94]) ).

thf(349,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( ~ ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 )
              @ ( cE
                @ ^ [SY1070: $i] : ( cP @ ( SV32 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) @ ( SV31 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[94]) ).

thf(350,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1071: $i] : ( cP @ ( SV32 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) @ ( SV31 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) ) )
          = ( sK85_E @ SV31 @ SV32 ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(extuni,[status(esa)],[100]) ).

thf(351,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK85_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1071: $i] : ( cP @ ( SV32 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) @ ( SV31 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) ) ) )
        = $true )
      | ( ( cP @ ( sK85_E @ SV31 @ SV32 ) @ ( sK85_E @ SV31 @ SV32 ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(extuni,[status(esa)],[100]) ).

thf(352,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK85_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1071: $i] : ( cP @ ( SV32 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) @ ( SV31 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) ) ) )
        = $false )
      | ( ( cP @ ( sK85_E @ SV31 @ SV32 ) @ ( sK85_E @ SV31 @ SV32 ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(extuni,[status(esa)],[100]) ).

thf(353,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK85_E @ SV31 @ SV32 )
              @ ( cE
                @ ^ [SY1071: $i] : ( cP @ ( SV32 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) @ ( SV31 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK85_E @ SV31 @ SV32 ) @ ( sK85_E @ SV31 @ SV32 ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(extuni,[status(esa)],[100]) ).

thf(354,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK85_E @ SV31 @ SV32 )
              @ ( cE
                @ ^ [SY1071: $i] : ( cP @ ( SV32 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) @ ( SV31 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK85_E @ SV31 @ SV32 ) @ ( sK85_E @ SV31 @ SV32 ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(extuni,[status(esa)],[100]) ).

thf(355,plain,
    ! [SV603: $i > $i > $i > $i > $i > $i > $o,SV602: $i > $i > $i > $i > $i > $i,SV133: $i > $i > $i,SV594: $i > $i > $i > $i] :
      ( ( ( ( sK86_E
            @ ( SV602
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK86_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( SV603
              @ ( cE
                @ ^ [SX0: $i] :
                    ~ ( cP @ SX0
                      @ ( cE
                        @ ^ [SX1: $i] :
                            ( cP @ ( SV133 @ SX0 @ SX1 )
                            @ ( cE
                              @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
              @ ( sK3_E
                @ ^ [SX0: $i,SX1: $i] :
                    ( cP @ ( SV133 @ SX0 @ SX1 )
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
              @ ( sK86_E @ SV133
                @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          = ( sK86_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
        = $false )
      | ( ( ( SV594
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
            @ ( sK86_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[126:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( sK86_E @ ( SV602 @ SX0 @ SX1 @ SX2 ) @ ( SV603 @ SX0 @ SX1 @ SX2 ) ) ) ))]]) ).

thf(356,plain,
    ! [SV133: $i > $i > $i,SV594: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV594
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) )
            @ ( sK86_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[126:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX2 ) ))]]) ).

thf(357,plain,
    ! [SV133: $i > $i > $i,SV594: $i > $i > $i > $i] :
      ( ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
          = ( sK86_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV594
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK86_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[126:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX1 ) ))]]) ).

thf(358,plain,
    ! [SV133: $i > $i > $i,SV594: $i > $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          = ( sK86_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( SV594
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) )
            @ ( sK86_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
          = ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[126:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ SX0 ) ))]]) ).

thf(359,plain,
    ! [SV595: $i > $i > $i > $i,SV133: $i > $i > $i,SV594: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV594
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK86_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV595
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK86_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          @ ( sK86_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[126:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(360,plain,
    ! [SV595: $i > $i > $i > $i,SV133: $i > $i > $i,SV594: $i > $i > $i > $i] :
      ( ( ( cP
          @ ( SV594
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK86_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV595
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) )
            @ ( sK86_E @ SV133
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP @ ( SV133 @ SX0 @ SX1 )
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP @ ( SV133 @ SX0 @ SX1 )
                  @ ( cE
                    @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
          @ ( sK86_E @ SV133
            @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP @ ( SV133 @ SX0 @ SX1 )
                        @ ( cE
                          @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP @ ( SV133 @ SX0 @ SX1 )
                @ ( cE
                  @ ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[126:[bind(SV138,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ^ [SX2: $i] : ( cP @ ( SV594 @ SX0 @ SX1 @ SX2 ) @ ( SV595 @ SX0 @ SX1 @ SX2 ) ) ))]]) ).

thf(361,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK87_E @ SV133 )
              @ ( cE
                @ ^ [SY1090: $i] : ( cP @ ( SV133 @ ( sK87_E @ SV133 ) @ SY1090 ) @ ( sK87_E @ SV133 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK87_E @ SV133 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[130]) ).

thf(362,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK87_E @ SV133 )
              @ ( cE
                @ ^ [SY1090: $i] : ( cP @ ( SV133 @ ( sK87_E @ SV133 ) @ SY1090 ) @ ( sK87_E @ SV133 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK87_E @ SV133 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[130]) ).

thf(363,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1091: $i] : ( cP @ ( SV133 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) @ ( SV132 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) ) )
          = ( sK88_E @ SV132 @ SV133 ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[138]) ).

thf(364,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK88_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1091: $i] : ( cP @ ( SV133 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) @ ( SV132 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) ) ) )
        = $true )
      | ( ( cP @ ( sK88_E @ SV132 @ SV133 ) @ ( sK88_E @ SV132 @ SV133 ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[138]) ).

thf(365,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK88_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1091: $i] : ( cP @ ( SV133 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) @ ( SV132 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) ) ) )
        = $false )
      | ( ( cP @ ( sK88_E @ SV132 @ SV133 ) @ ( sK88_E @ SV132 @ SV133 ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[138]) ).

thf(366,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK88_E @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1091: $i] : ( cP @ ( SV133 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) @ ( SV132 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK88_E @ SV132 @ SV133 ) @ ( sK88_E @ SV132 @ SV133 ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[138]) ).

thf(367,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK88_E @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1091: $i] : ( cP @ ( SV133 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) @ ( SV132 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK88_E @ SV132 @ SV133 ) @ ( sK88_E @ SV132 @ SV133 ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extuni,[status(esa)],[138]) ).

thf(368,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[144]) ).

thf(369,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[144]) ).

thf(370,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK89_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK90_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[144]) ).

thf(371,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[148]) ).

thf(372,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[148]) ).

thf(373,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK91_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK92_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[148]) ).

thf(374,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[152]) ).

thf(375,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[152]) ).

thf(376,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK26_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK93_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK94_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[152]) ).

thf(377,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[153]) ).

thf(378,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[153]) ).

thf(379,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK95_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[153]) ).

thf(380,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[154]) ).

thf(381,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[154]) ).

thf(382,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK96_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[154]) ).

thf(383,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[155]) ).

thf(384,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[155]) ).

thf(385,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK97_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK33_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK34_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[155]) ).

thf(386,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(387,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(388,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK100_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(389,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) )
          = ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(390,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(391,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(392,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK101_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(393,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) )
          = ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(394,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(395,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(396,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK102_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(397,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) )
          = ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK98_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK99_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(398,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(399,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(400,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK103_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[156]) ).

thf(401,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[160]) ).

thf(402,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[160]) ).

thf(403,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK104_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK105_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[160]) ).

thf(404,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[164]) ).

thf(405,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[164]) ).

thf(406,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK106_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK107_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[164]) ).

thf(407,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[173]) ).

thf(408,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[173]) ).

thf(409,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK109_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[173]) ).

thf(410,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1105: $i] : ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) ) )
          = ( cE
            @ ^ [SY1104: $i] : ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[173]) ).

thf(411,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1105: $i] : ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) ) ) )
        = $true )
      | ( ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1104: $i] : ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[173]) ).

thf(412,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1105: $i] : ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) ) ) )
        = $false )
      | ( ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1104: $i] : ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[173]) ).

thf(413,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1105: $i] : ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1104: $i] : ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[173]) ).

thf(414,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1105: $i] : ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1104: $i] : ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[173]) ).

thf(415,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[174]) ).

thf(416,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[174]) ).

thf(417,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK111_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[174]) ).

thf(418,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1107: $i] : ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) ) )
          = ( cE
            @ ^ [SY1106: $i] : ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[174]) ).

thf(419,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1107: $i] : ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) ) ) )
        = $true )
      | ( ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1106: $i] : ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[174]) ).

thf(420,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1107: $i] : ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) ) ) )
        = $false )
      | ( ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1106: $i] : ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[174]) ).

thf(421,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1107: $i] : ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1106: $i] : ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) ) ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[174]) ).

thf(422,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1107: $i] : ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1106: $i] : ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[174]) ).

thf(423,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[175]) ).

thf(424,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[175]) ).

thf(425,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK113_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[175]) ).

thf(426,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1109: $i] : ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) ) )
          = ( cE
            @ ^ [SY1108: $i] : ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[175]) ).

thf(427,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1109: $i] : ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) ) ) )
        = $true )
      | ( ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1108: $i] : ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[175]) ).

thf(428,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1109: $i] : ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) ) ) )
        = $false )
      | ( ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1108: $i] : ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[175]) ).

thf(429,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1109: $i] : ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1108: $i] : ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) ) ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[175]) ).

thf(430,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1109: $i] : ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1108: $i] : ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[175]) ).

thf(431,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(432,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(433,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK117_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(434,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1113: $i] : ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) ) )
          = ( cE
            @ ^ [SY1112: $i] : ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(435,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1113: $i] : ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) ) ) )
        = $true )
      | ( ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1112: $i] : ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(436,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1113: $i] : ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) ) ) )
        = $false )
      | ( ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1112: $i] : ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(437,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1113: $i] : ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1112: $i] : ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(438,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1113: $i] : ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1112: $i] : ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(439,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(440,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(441,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(442,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK119_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(443,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1115: $i] : ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) ) )
          = ( cE
            @ ^ [SY1114: $i] : ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(444,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1115: $i] : ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) ) ) )
        = $true )
      | ( ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1114: $i] : ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(445,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1115: $i] : ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) ) ) )
        = $false )
      | ( ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1114: $i] : ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(446,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1115: $i] : ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1114: $i] : ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(447,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1115: $i] : ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1114: $i] : ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(448,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i,SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(449,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(450,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(451,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK121_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(452,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1117: $i] : ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) ) )
          = ( cE
            @ ^ [SY1116: $i] : ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(453,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1117: $i] : ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) ) ) )
        = $true )
      | ( ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1116: $i] : ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(454,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1117: $i] : ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) ) ) )
        = $false )
      | ( ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1116: $i] : ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(455,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1117: $i] : ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1116: $i] : ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(456,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1117: $i] : ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1116: $i] : ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(457,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i,SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(458,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(459,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(460,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK123_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(461,plain,
    ! [SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( ( cE
            @ ^ [SY1119: $i] : ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) ) )
          = ( cE
            @ ^ [SY1118: $i] : ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(462,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1119: $i] : ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) ) ) )
        = $true )
      | ( ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1118: $i] : ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(463,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1119: $i] : ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) ) ) )
        = $false )
      | ( ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1118: $i] : ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(464,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1119: $i] : ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1118: $i] : ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(465,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( ~ ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1119: $i] : ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1118: $i] : ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[176]) ).

thf(466,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(467,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(468,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK124_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK125_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(469,plain,
    ! [SV133: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(470,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(471,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY648: $i] : ( cP @ ( SV133 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) @ ( SV132 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY648 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK126_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK127_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY647: $i] : ( cP @ ( SV32 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) @ ( SV31 @ ( sK25_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY647 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(472,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK74_E @ SV133 )
          @ ( cE
            @ ^ [SY1019: $i] : ( cP @ ( SV133 @ ( sK74_E @ SV133 ) @ SY1019 ) @ ( sK74_E @ SV133 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK74_E @ SV133 ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[320]) ).

thf(473,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK74_E @ SV133 )
          @ ( cE
            @ ^ [SY1019: $i] : ( cP @ ( SV133 @ ( sK74_E @ SV133 ) @ SY1019 ) @ ( sK74_E @ SV133 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK74_E @ SV133 ) )
        = $true )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[319]) ).

thf(474,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK75_E @ SV133 )
          @ ( cE
            @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[326]) ).

thf(475,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK77_E @ SV133 )
          @ ( cE
            @ ^ [SY1034: $i] : ( cP @ ( SV133 @ ( sK77_E @ SV133 ) @ SY1034 ) @ ( sK77_E @ SV133 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK77_E @ SV133 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK75_E @ SV133 )
              @ ( cE
                @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[325]) ).

thf(476,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK77_E @ SV133 )
          @ ( cE
            @ ^ [SY1034: $i] : ( cP @ ( SV133 @ ( sK77_E @ SV133 ) @ SY1034 ) @ ( sK77_E @ SV133 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK77_E @ SV133 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK75_E @ SV133 )
              @ ( cE
                @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[324]) ).

thf(477,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK75_E @ SV133 )
          @ ( cE
            @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          = ( cE
            @ ^ [SX0: $i] :
                ( cP
                @ ( SV133
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ~ ( cP @ SX1
                          @ ( cE
                            @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
                  @ ( sK3_E
                    @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[323]) ).

thf(478,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK76_E @ SV133 )
          @ ( cE
            @ ^ [SY1029: $i] : ( cP @ ( SV133 @ ( sK76_E @ SV133 ) @ SY1029 ) @ ( sK76_E @ SV133 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK76_E @ SV133 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK75_E @ SV133 )
              @ ( cE
                @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[322]) ).

thf(479,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK76_E @ SV133 )
          @ ( cE
            @ ^ [SY1029: $i] : ( cP @ ( SV133 @ ( sK76_E @ SV133 ) @ SY1029 ) @ ( sK76_E @ SV133 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK76_E @ SV133 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK75_E @ SV133 )
              @ ( cE
                @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[321]) ).

thf(480,plain,
    ( ( ( cP @ sK78_E @ sK78_E )
      = $true )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK78_E )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[328]) ).

thf(481,plain,
    ( ( ( cP @ sK78_E @ sK78_E )
      = $false )
    | ( ( cP
        @ ( cE
          @ ^ [SX1: $i] :
              ~ ( cP @ SX1 @ SX1 ) )
        @ sK78_E )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[327]) ).

thf(482,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ ( sK81_E @ SV9 ) @ ( sK81_E @ SV9 ) )
        = $true )
      | ( ( ~ ( cP @ ( sK81_E @ SV9 ) @ ( SV9 @ ( sK81_E @ SV9 ) ) ) )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[335]) ).

thf(483,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ ( sK81_E @ SV9 ) @ ( sK81_E @ SV9 ) )
        = $false )
      | ( ( ~ ( cP @ ( sK81_E @ SV9 ) @ ( SV9 @ ( sK81_E @ SV9 ) ) ) )
        = $true )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[334]) ).

thf(484,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i,SV570: $i > $i > $i > $o] :
      ( ( ( SV570
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                @ ( SV31 @ SX0 @ SX1 ) ) )
          @ ( sK82_E @ SV9 @ SV31
            @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) )
        = $true )
      | ( ( ~ ( cP
              @ ( sK82_E @ SV9 @ SV31
                @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                    ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
              @ ( SV9
                @ ( sK82_E @ SV9 @ SV31
                  @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[339]) ).

thf(485,plain,
    ! [SV9: $i > $i,SV31: $i > $i > $i,SV570: $i > $i > $i > $o] :
      ( ( ( SV570
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                @ ( SV31 @ SX0 @ SX1 ) ) )
          @ ( sK82_E @ SV9 @ SV31
            @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) )
        = $false )
      | ( ( ~ ( cP
              @ ( sK82_E @ SV9 @ SV31
                @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                    ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
              @ ( SV9
                @ ( sK82_E @ SV9 @ SV31
                  @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[338]) ).

thf(486,plain,
    ! [SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK83_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY1069: $i] : ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK83_E @ SV9 @ SV31 ) @ SY1069 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK83_E @ SV9 @ SV31 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[344]) ).

thf(487,plain,
    ! [SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK83_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY1069: $i] : ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK83_E @ SV9 @ SV31 ) @ SY1069 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK83_E @ SV9 @ SV31 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[343]) ).

thf(488,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1070: $i] : ( cP @ ( SV32 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) @ ( SV31 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[349]) ).

thf(489,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1070: $i] : ( cP @ ( SV32 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) @ ( SV31 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[348]) ).

thf(490,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK85_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1071: $i] : ( cP @ ( SV32 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) @ ( SV31 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK85_E @ SV31 @ SV32 ) @ ( sK85_E @ SV31 @ SV32 ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[354]) ).

thf(491,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK85_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1071: $i] : ( cP @ ( SV32 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) @ ( SV31 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK85_E @ SV31 @ SV32 ) @ ( sK85_E @ SV31 @ SV32 ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(492,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK87_E @ SV133 )
          @ ( cE
            @ ^ [SY1090: $i] : ( cP @ ( SV133 @ ( sK87_E @ SV133 ) @ SY1090 ) @ ( sK87_E @ SV133 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK87_E @ SV133 ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[362]) ).

thf(493,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK87_E @ SV133 )
          @ ( cE
            @ ^ [SY1090: $i] : ( cP @ ( SV133 @ ( sK87_E @ SV133 ) @ SY1090 ) @ ( sK87_E @ SV133 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK87_E @ SV133 ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[361]) ).

thf(494,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK88_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1091: $i] : ( cP @ ( SV133 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) @ ( SV132 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK88_E @ SV132 @ SV133 ) @ ( sK88_E @ SV132 @ SV133 ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[367]) ).

thf(495,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK88_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1091: $i] : ( cP @ ( SV133 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) @ ( SV132 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK88_E @ SV132 @ SV133 ) @ ( sK88_E @ SV132 @ SV133 ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[366]) ).

thf(496,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1105: $i] : ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1104: $i] : ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[414]) ).

thf(497,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1105: $i] : ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1104: $i] : ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[413]) ).

thf(498,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1107: $i] : ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1106: $i] : ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[422]) ).

thf(499,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1107: $i] : ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1106: $i] : ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) ) ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[421]) ).

thf(500,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1109: $i] : ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1108: $i] : ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[430]) ).

thf(501,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1109: $i] : ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1108: $i] : ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) ) ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[429]) ).

thf(502,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1119: $i] : ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1118: $i] : ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[465]) ).

thf(503,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1119: $i] : ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1118: $i] : ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[464]) ).

thf(504,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1117: $i] : ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1116: $i] : ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[456]) ).

thf(505,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1117: $i] : ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1116: $i] : ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(506,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1115: $i] : ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1114: $i] : ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[447]) ).

thf(507,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1115: $i] : ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1114: $i] : ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[446]) ).

thf(508,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1113: $i] : ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) ) ) )
        = $true )
      | ( ( ~ ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1112: $i] : ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[438]) ).

thf(509,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1113: $i] : ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) ) ) )
        = $false )
      | ( ( ~ ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
              @ ( cE
                @ ^ [SY1112: $i] : ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[437]) ).

thf(510,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK75_E @ SV133 )
          @ ( cE
            @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK77_E @ SV133 ) )
        = $false )
      | ( ( cP @ ( sK77_E @ SV133 )
          @ ( cE
            @ ^ [SY1034: $i] : ( cP @ ( SV133 @ ( sK77_E @ SV133 ) @ SY1034 ) @ ( sK77_E @ SV133 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[475]) ).

thf(511,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK75_E @ SV133 )
          @ ( cE
            @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK77_E @ SV133 ) )
        = $true )
      | ( ( cP @ ( sK77_E @ SV133 )
          @ ( cE
            @ ^ [SY1034: $i] : ( cP @ ( SV133 @ ( sK77_E @ SV133 ) @ SY1034 ) @ ( sK77_E @ SV133 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[476]) ).

thf(512,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK75_E @ SV133 )
          @ ( cE
            @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK76_E @ SV133 ) )
        = $false )
      | ( ( cP @ ( sK76_E @ SV133 )
          @ ( cE
            @ ^ [SY1029: $i] : ( cP @ ( SV133 @ ( sK76_E @ SV133 ) @ SY1029 ) @ ( sK76_E @ SV133 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(513,plain,
    ! [SV133: $i > $i > $i] :
      ( ( ( cP @ ( sK75_E @ SV133 )
          @ ( cE
            @ ^ [SY1024: $i] : ( cP @ ( SV133 @ ( sK75_E @ SV133 ) @ SY1024 ) @ ( sK75_E @ SV133 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ SX0 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK76_E @ SV133 ) )
        = $true )
      | ( ( cP @ ( sK76_E @ SV133 )
          @ ( cE
            @ ^ [SY1029: $i] : ( cP @ ( SV133 @ ( sK76_E @ SV133 ) @ SY1029 ) @ ( sK76_E @ SV133 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX1: $i] :
                  ~ ( cP @ SX1
                    @ ( cE
                      @ ^ [SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) ) )
            @ ( sK3_E
              @ ^ [SX1: $i,SX2: $i] : ( cP @ ( SV133 @ SX1 @ SX2 ) @ SX1 ) ) )
          @ ( sK75_E @ SV133 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[479]) ).

thf(514,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ ( sK81_E @ SV9 ) @ ( SV9 @ ( sK81_E @ SV9 ) ) )
        = $true )
      | ( ( cP @ ( sK81_E @ SV9 ) @ ( sK81_E @ SV9 ) )
        = $true )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[482]) ).

thf(515,plain,
    ! [SV9: $i > $i] :
      ( ( ( cP @ ( sK81_E @ SV9 ) @ ( SV9 @ ( sK81_E @ SV9 ) ) )
        = $false )
      | ( ( cP @ ( sK81_E @ SV9 ) @ ( sK81_E @ SV9 ) )
        = $false )
      | ( ( sK1_E
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[483]) ).

thf(516,plain,
    ! [SV570: $i > $i > $i > $o,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP
          @ ( sK82_E @ SV9 @ SV31
            @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
          @ ( SV9
            @ ( sK82_E @ SV9 @ SV31
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $true )
      | ( ( SV570
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                @ ( SV31 @ SX0 @ SX1 ) ) )
          @ ( sK82_E @ SV9 @ SV31
            @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[484]) ).

thf(517,plain,
    ! [SV570: $i > $i > $i > $o,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP
          @ ( sK82_E @ SV9 @ SV31
            @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
          @ ( SV9
            @ ( sK82_E @ SV9 @ SV31
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) ) )
        = $false )
      | ( ( SV570
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                @ ( SV31 @ SX0 @ SX1 ) ) )
          @ ( sK82_E @ SV9 @ SV31
            @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] :
                        ( cP
                        @ ( cE
                          @ ^ [SX2: $i] :
                              ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                        @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] :
                ( cP
                @ ( cE
                  @ ^ [SX2: $i] :
                      ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] :
                          ( cP
                          @ ( cE
                            @ ^ [SX2: $i] :
                                ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                          @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( cP
                  @ ( cE
                    @ ^ [SX2: $i] :
                        ~ ( SV570 @ SX0 @ SX1 @ SX2 ) )
                  @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(518,plain,
    ! [SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK83_E @ SV9 @ SV31 ) ) )
        = $true )
      | ( ( cP @ ( sK83_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY1069: $i] : ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK83_E @ SV9 @ SV31 ) @ SY1069 ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[486]) ).

thf(519,plain,
    ! [SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV9 @ ( sK83_E @ SV9 @ SV31 ) ) )
        = $false )
      | ( ( cP @ ( sK83_E @ SV9 @ SV31 )
          @ ( cE
            @ ^ [SY1069: $i] : ( cP @ ( sK83_E @ SV9 @ SV31 ) @ ( SV31 @ ( sK83_E @ SV9 @ SV31 ) @ SY1069 ) ) ) )
        = $false )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(520,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) ) )
        = $true )
      | ( ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1070: $i] : ( cP @ ( SV32 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) @ ( SV31 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[488]) ).

thf(521,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i,SV9: $i > $i] :
      ( ( ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ ( SV9 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) ) )
        = $false )
      | ( ( cP @ ( sK84_E @ SV9 @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1070: $i] : ( cP @ ( SV32 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) @ ( SV31 @ ( sK84_E @ SV9 @ SV31 @ SV32 ) @ SY1070 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = ( SV9
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0 @ ( SV9 @ SX0 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[489]) ).

thf(522,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK85_E @ SV31 @ SV32 ) @ ( sK85_E @ SV31 @ SV32 ) )
        = $true )
      | ( ( cP @ ( sK85_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1071: $i] : ( cP @ ( SV32 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) @ ( SV31 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[490]) ).

thf(523,plain,
    ! [SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK85_E @ SV31 @ SV32 ) @ ( sK85_E @ SV31 @ SV32 ) )
        = $false )
      | ( ( cP @ ( sK85_E @ SV31 @ SV32 )
          @ ( cE
            @ ^ [SY1071: $i] : ( cP @ ( SV32 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) @ ( SV31 @ ( sK85_E @ SV31 @ SV32 ) @ SY1071 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP @ sK1_E @ sK1_E )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[491]) ).

thf(524,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK88_E @ SV132 @ SV133 ) @ ( sK88_E @ SV132 @ SV133 ) )
        = $true )
      | ( ( cP @ ( sK88_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1091: $i] : ( cP @ ( SV133 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) @ ( SV132 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[494]) ).

thf(525,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i] :
      ( ( ( cP @ ( sK88_E @ SV132 @ SV133 ) @ ( sK88_E @ SV132 @ SV133 ) )
        = $false )
      | ( ( cP @ ( sK88_E @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1091: $i] : ( cP @ ( SV133 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) @ ( SV132 @ ( sK88_E @ SV132 @ SV133 ) @ SY1091 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = sK1_E )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP @ sK1_E @ sK1_E )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[495]) ).

thf(526,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1104: $i] : ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) ) ) )
        = $true )
      | ( ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1105: $i] : ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[496]) ).

thf(527,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1104: $i] : ( cP @ ( SV32 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) @ ( SV31 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1104 ) ) ) )
        = $false )
      | ( ( cP @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1105: $i] : ( cP @ ( SV133 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) @ ( SV132 @ ( sK108_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1105 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[497]) ).

thf(528,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1106: $i] : ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) ) ) )
        = $true )
      | ( ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1107: $i] : ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[498]) ).

thf(529,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1106: $i] : ( cP @ ( SV32 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) @ ( SV31 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1106 ) ) ) )
        = $false )
      | ( ( cP @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1107: $i] : ( cP @ ( SV133 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) @ ( SV132 @ ( sK110_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1107 ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[499]) ).

thf(530,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1108: $i] : ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) ) ) )
        = $true )
      | ( ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1109: $i] : ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[500]) ).

thf(531,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1108: $i] : ( cP @ ( SV32 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) @ ( SV31 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1108 ) ) ) )
        = $false )
      | ( ( cP @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1109: $i] : ( cP @ ( SV133 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) @ ( SV132 @ ( sK112_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1109 ) ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK43_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK44_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[501]) ).

thf(532,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1118: $i] : ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) ) ) )
        = $true )
      | ( ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1119: $i] : ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) ) ) )
        = $true )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[502]) ).

thf(533,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1118: $i] : ( cP @ ( SV32 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) @ ( SV31 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1118 ) ) ) )
        = $false )
      | ( ( cP @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1119: $i] : ( cP @ ( SV133 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) @ ( SV132 @ ( sK122_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1119 ) ) ) )
        = $false )
      | ( ( ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) )
          = ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[503]) ).

thf(534,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1116: $i] : ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) ) ) )
        = $true )
      | ( ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1117: $i] : ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[504]) ).

thf(535,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1116: $i] : ( cP @ ( SV32 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) @ ( SV31 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1116 ) ) ) )
        = $false )
      | ( ( cP @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1117: $i] : ( cP @ ( SV133 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) @ ( SV132 @ ( sK120_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1117 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[505]) ).

thf(536,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1114: $i] : ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) ) ) )
        = $true )
      | ( ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1115: $i] : ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) ) ) )
        = $true )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[506]) ).

thf(537,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1114: $i] : ( cP @ ( SV32 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) @ ( SV31 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1114 ) ) ) )
        = $false )
      | ( ( cP @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1115: $i] : ( cP @ ( SV133 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) @ ( SV132 @ ( sK118_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1115 ) ) ) )
        = $false )
      | ( ( cP @ ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP @ ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) @ ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[507]) ).

thf(538,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1112: $i] : ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) ) ) )
        = $true )
      | ( ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1113: $i] : ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) ) ) )
        = $true )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[508]) ).

thf(539,plain,
    ! [SV133: $i > $i > $i,SV132: $i > $i > $i,SV32: $i > $i > $i,SV31: $i > $i > $i] :
      ( ( ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1112: $i] : ( cP @ ( SV32 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) @ ( SV31 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1112 ) ) ) )
        = $false )
      | ( ( cP @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 )
          @ ( cE
            @ ^ [SY1113: $i] : ( cP @ ( SV133 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) @ ( SV132 @ ( sK116_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ SY1113 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV132 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV31 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false )
      | ( ( ( SV133 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) )
          = ( SV32 @ ( sK114_E @ SV31 @ SV32 @ SV132 @ SV133 ) @ ( sK115_E @ SV132 @ SV32 @ SV31 @ SV133 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[509]) ).

thf(540,plain,
    ! [SV31: $i > $i > $i,SV32: $i > $i > $i] :
      ( ( ( cP
          @ ( SV32
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
          @ ( SV31
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV32 @ SX0 @ SX1 ) @ ( SV31 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[241]) ).

thf(541,plain,
    ! [SV132: $i > $i > $i,SV133: $i > $i > $i] :
      ( ( ( cP
          @ ( cE
            @ ^ [SX0: $i] :
                ~ ( cP @ SX0
                  @ ( cE
                    @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK3_E
            @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( cP
          @ ( SV133
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) )
          @ ( SV132
            @ ( cE
              @ ^ [SX0: $i] :
                  ~ ( cP @ SX0
                    @ ( cE
                      @ ^ [SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK3_E
              @ ^ [SX0: $i,SX1: $i] : ( cP @ ( SV133 @ SX0 @ SX1 ) @ ( SV132 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(sim,[status(thm)],[260]) ).

thf(542,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[18,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,493,492,481,480,477,474,473,472,471,470,469,468,467,466,463,462,461,460,459,458,457,454,453,452,451,450,449,448,445,444,443,442,441,440,439,436,435,434,433,432,431,428,427,426,425,424,423,420,419,418,417,416,415,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,365,364,363,360,359,358,357,356,355,352,351,350,347,346,345,342,341,340,337,336,333,332,331,330,329,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,198,197,196,195,194,193,192,191,190,189,178,177,176,175,174,173,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,135,134,133,132,131,130,127,126,114,113,112,111,110,109,108,101,100,97,96,95,94,91,90,89,88,85,84,83,82,81,69,68,67,64,63,60,57,56,55,54,45,44,43,42,35,34,27,26,25,24,19]) ).

thf(543,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[542]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYO262^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jul  8 23:08:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  
% 0.12/0.33   No.of.Axioms: 0
% 0.12/0.33  
% 0.12/0.33   Length.of.Defs: 0
% 0.12/0.33  
% 0.12/0.33   Contains.Choice.Funs: true
% 0.12/0.34  (rf:0,axioms:0,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...........................
% 75.25/75.49  (rf:0,axioms:0,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).................................................
% 233.41/233.64  
% 233.41/233.64  ********************************
% 233.41/233.64  *   All subproblems solved!    *
% 233.41/233.64  ********************************
% 233.41/233.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:542,loop_count:11,foatp_calls:5,translation:fof_full)
% 234.20/234.39  
% 234.20/234.39  %**** Beginning of derivation protocol ****
% 234.20/234.39  % SZS output start CNFRefutation
% See solution above
% 234.20/234.39  
% 234.20/234.39  %**** End of derivation protocol ****
% 234.20/234.39  %**** no. of clauses in derivation: 489 ****
% 234.20/234.39  %**** clause counter: 542 ****
% 234.20/234.39  
% 234.20/234.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:542,loop_count:11,foatp_calls:5,translation:fof_full)
%------------------------------------------------------------------------------