TSTP Solution File: SYN472-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN472-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:31:51 EDT 2023

% Result   : Unsatisfiable 12.64s 2.05s
% Output   : CNFRefutation 12.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  192
% Syntax   : Number of formulae    :  704 (   2 unt;   0 def)
%            Number of atoms       : 2819 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 3349 (1234   ~;2061   |;   0   &)
%                                         (  54 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   88 (  87 usr;  84 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  308 (   0 sgn;  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause19,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause19) ).

cnf(clause32,negated_conjecture,
    ( hskp28
    | hskp30
    | hskp12 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause32) ).

cnf(clause1,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause1) ).

cnf(clause3,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause3) ).

cnf(clause115,negated_conjecture,
    ( ~ c1_1(a722)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause115) ).

cnf(clause70,negated_conjecture,
    ( c3_1(a722)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause70) ).

cnf(clause69,negated_conjecture,
    ( c0_1(a722)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause69) ).

cnf(clause88,negated_conjecture,
    ( ~ c1_1(a777)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause88) ).

cnf(clause52,negated_conjecture,
    ( c3_1(a777)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause52) ).

cnf(clause132,negated_conjecture,
    ( ~ c1_1(a692)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause132) ).

cnf(clause86,negated_conjecture,
    ( c2_1(a692)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause86) ).

cnf(clause113,negated_conjecture,
    ( ~ c1_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause113) ).

cnf(clause114,negated_conjecture,
    ( ~ c3_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause114) ).

cnf(clause112,negated_conjecture,
    ( ~ c0_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause112) ).

cnf(clause56,negated_conjecture,
    ( c0_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause56) ).

cnf(clause93,negated_conjecture,
    ( ~ c2_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause93) ).

cnf(clause67,negated_conjecture,
    ( c1_1(a730)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause67) ).

cnf(clause109,negated_conjecture,
    ( ~ c3_1(a730)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause109) ).

cnf(clause66,negated_conjecture,
    ( c0_1(a730)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause66) ).

cnf(clause68,negated_conjecture,
    ( c1_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause68) ).

cnf(clause111,negated_conjecture,
    ( ~ c3_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause111) ).

cnf(clause110,negated_conjecture,
    ( ~ c0_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause110) ).

cnf(clause77,negated_conjecture,
    ( c0_1(a702)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause77) ).

cnf(clause78,negated_conjecture,
    ( c3_1(a702)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause78) ).

cnf(clause122,negated_conjecture,
    ( ~ c2_1(a702)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause122) ).

cnf(clause36,negated_conjecture,
    ( hskp11
    | hskp23
    | hskp13 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause36) ).

cnf(clause49,negated_conjecture,
    ( c0_1(a691)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause49) ).

cnf(clause51,negated_conjecture,
    ( c3_1(a691)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause51) ).

cnf(clause92,negated_conjecture,
    ( ~ c1_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause92) ).

cnf(clause34,negated_conjecture,
    ( hskp14
    | hskp7
    | hskp26 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause34) ).

cnf(clause75,negated_conjecture,
    ( c1_1(a708)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause75) ).

cnf(clause76,negated_conjecture,
    ( c2_1(a708)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause76) ).

cnf(clause121,negated_conjecture,
    ( ~ c3_1(a708)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause121) ).

cnf(clause131,negated_conjecture,
    ( ~ c0_1(a692)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause131) ).

cnf(clause189,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause189) ).

cnf(clause39,negated_conjecture,
    ( hskp13
    | hskp20
    | hskp12 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause39) ).

cnf(clause98,negated_conjecture,
    ( ~ c3_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause98) ).

cnf(clause60,negated_conjecture,
    ( c2_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause60) ).

cnf(clause157,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause157) ).

cnf(clause87,negated_conjecture,
    ( ~ c0_1(a777)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause87) ).

cnf(clause97,negated_conjecture,
    ( ~ c0_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause97) ).

cnf(clause43,negated_conjecture,
    ( c0_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause43) ).

cnf(clause44,negated_conjecture,
    ( c2_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause44) ).

cnf(clause45,negated_conjecture,
    ( c3_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause45) ).

cnf(clause71,negated_conjecture,
    ( c1_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause71) ).

cnf(clause116,negated_conjecture,
    ( ~ c2_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause116) ).

cnf(clause72,negated_conjecture,
    ( c3_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause72) ).

cnf(clause57,negated_conjecture,
    ( c1_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause57) ).

cnf(clause94,negated_conjecture,
    ( ~ c0_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause94) ).

cnf(clause191,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause191) ).

cnf(clause133,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp0
    | hskp1
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause133) ).

cnf(clause152,negated_conjecture,
    ( c3_1(X1)
    | hskp21
    | hskp22
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause152) ).

cnf(clause153,negated_conjecture,
    ( hskp23
    | hskp24
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause153) ).

cnf(clause162,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause162) ).

cnf(clause58,negated_conjecture,
    ( c1_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause58) ).

cnf(clause59,negated_conjecture,
    ( c3_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause59) ).

cnf(clause96,negated_conjecture,
    ( ~ c0_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause96) ).

cnf(clause81,negated_conjecture,
    ( c0_1(a697)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause81) ).

cnf(clause127,negated_conjecture,
    ( ~ c3_1(a697)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause127) ).

cnf(clause73,negated_conjecture,
    ( c2_1(a710)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause73) ).

cnf(clause120,negated_conjecture,
    ( ~ c0_1(a710)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause120) ).

cnf(clause55,negated_conjecture,
    ( c1_1(a764)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause55) ).

cnf(clause91,negated_conjecture,
    ( ~ c3_1(a764)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause91) ).

cnf(clause140,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp3
    | hskp1
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause140) ).

cnf(clause101,negated_conjecture,
    ( ~ c1_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause101) ).

cnf(clause62,negated_conjecture,
    ( c0_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause62) ).

cnf(clause103,negated_conjecture,
    ( ~ c1_1(a744)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause103) ).

cnf(clause104,negated_conjecture,
    ( ~ c2_1(a744)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause104) ).

cnf(clause138,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp3
    | hskp4
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause138) ).

cnf(clause135,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp2
    | hskp7
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause135) ).

cnf(clause149,negated_conjecture,
    ( c2_1(X1)
    | hskp16
    | hskp20
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause149) ).

cnf(clause148,negated_conjecture,
    ( c2_1(X1)
    | hskp18
    | hskp19
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause148) ).

cnf(clause146,negated_conjecture,
    ( c1_1(X1)
    | hskp7
    | hskp13
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause146) ).

cnf(clause154,negated_conjecture,
    ( hskp27
    | hskp18
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause154) ).

cnf(clause90,negated_conjecture,
    ( ~ c2_1(a764)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause90) ).

cnf(clause95,negated_conjecture,
    ( ~ c2_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause95) ).

cnf(clause172,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause172) ).

cnf(clause156,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp27
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause156) ).

cnf(clause123,negated_conjecture,
    ( ~ c1_1(a701)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause123) ).

cnf(clause80,negated_conjecture,
    ( c2_1(a701)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause80) ).

cnf(clause79,negated_conjecture,
    ( c0_1(a701)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause79) ).

cnf(clause129,negated_conjecture,
    ( ~ c1_1(a693)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause129) ).

cnf(clause130,negated_conjecture,
    ( ~ c3_1(a693)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause130) ).

cnf(clause85,negated_conjecture,
    ( c2_1(a693)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause85) ).

cnf(clause35,negated_conjecture,
    ( hskp29
    | hskp7
    | hskp13 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause35) ).

cnf(clause83,negated_conjecture,
    ( c0_1(a696)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause83) ).

cnf(clause128,negated_conjecture,
    ( ~ c2_1(a696)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause128) ).

cnf(clause84,negated_conjecture,
    ( c1_1(a696)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause84) ).

cnf(clause61,negated_conjecture,
    ( c0_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause61) ).

cnf(clause82,negated_conjecture,
    ( c2_1(a697)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause82) ).

cnf(clause64,negated_conjecture,
    ( c3_1(a738)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause64) ).

cnf(clause47,negated_conjecture,
    ( c1_1(a695)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause47) ).

cnf(clause50,negated_conjecture,
    ( c1_1(a691)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause50) ).

cnf(clause40,negated_conjecture,
    ( c1_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause40) ).

cnf(clause102,negated_conjecture,
    ( ~ c3_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause102) ).

cnf(clause41,negated_conjecture,
    ( c2_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause41) ).

cnf(clause42,negated_conjecture,
    ( c3_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause42) ).

cnf(clause48,negated_conjecture,
    ( c2_1(a695)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause48) ).

cnf(clause46,negated_conjecture,
    ( c0_1(a695)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause46) ).

cnf(clause106,negated_conjecture,
    ( ~ c1_1(a738)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause106) ).

cnf(clause63,negated_conjecture,
    ( c2_1(a738)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause63) ).

cnf(clause99,negated_conjecture,
    ( ~ c2_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause99) ).

cnf(clause100,negated_conjecture,
    ( ~ c3_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause100) ).

cnf(clause124,negated_conjecture,
    ( ~ c0_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause124) ).

cnf(clause125,negated_conjecture,
    ( ~ c2_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause125) ).

cnf(clause126,negated_conjecture,
    ( ~ c3_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause126) ).

cnf(clause194,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause194) ).

cnf(clause193,negated_conjecture,
    ( c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause193) ).

cnf(clause195,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause195) ).

cnf(clause196,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause196) ).

cnf(clause192,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause192) ).

cnf(clause190,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause190) ).

cnf(clause184,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause184) ).

cnf(clause188,negated_conjecture,
    ( c3_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause188) ).

cnf(clause186,negated_conjecture,
    ( c2_1(X2)
    | hskp28
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause186) ).

cnf(clause179,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause179) ).

cnf(clause178,negated_conjecture,
    ( c0_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause178) ).

cnf(clause180,negated_conjecture,
    ( c1_1(X2)
    | c3_1(X2)
    | hskp14
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause180) ).

cnf(clause181,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | hskp16
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause181) ).

cnf(clause183,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp17
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause183) ).

cnf(clause177,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | hskp28
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause177) ).

cnf(clause182,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | hskp30
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause182) ).

cnf(clause169,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp2
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause169) ).

cnf(clause171,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp10
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause171) ).

cnf(clause174,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp12
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause174) ).

cnf(clause176,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp28
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause176) ).

cnf(clause170,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp29
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause170) ).

cnf(clause161,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause161) ).

cnf(clause160,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp3
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause160) ).

cnf(clause166,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause166) ).

cnf(clause164,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause164) ).

cnf(clause165,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause165) ).

cnf(clause167,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause167) ).

cnf(clause168,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp28
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause168) ).

cnf(clause159,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp28
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause159) ).

cnf(clause105,negated_conjecture,
    ( ~ c3_1(a744)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause105) ).

cnf(clause74,negated_conjecture,
    ( c3_1(a710)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause74) ).

cnf(clause37,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp21 ),
    file('/export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p',clause37) ).

cnf(c_0_138,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    clause19 ).

cnf(c_0_139,negated_conjecture,
    ( hskp28
    | hskp30
    | hskp12 ),
    clause32 ).

cnf(c_0_140,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    clause1 ).

cnf(c_0_141,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    clause3 ).

fof(c_0_142,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_143,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_144,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_145,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_146,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( hskp0
        | c2_1(X2)
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_147,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_141]) ).

fof(c_0_148,plain,
    ( ~ epred29_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_149,negated_conjecture,
    ( ~ c1_1(a722)
    | ~ hskp11 ),
    clause115 ).

cnf(c_0_150,negated_conjecture,
    ( epred34_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_142]) ).

cnf(c_0_151,negated_conjecture,
    ( c3_1(a722)
    | ~ hskp11 ),
    clause70 ).

cnf(c_0_152,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_143]) ).

cnf(c_0_153,negated_conjecture,
    ( c0_1(a722)
    | ~ hskp11 ),
    clause69 ).

fof(c_0_154,plain,
    ( ~ epred57_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_155,negated_conjecture,
    ( ~ c1_1(a777)
    | ~ hskp26 ),
    clause88 ).

cnf(c_0_156,negated_conjecture,
    ( c3_1(a777)
    | ~ hskp26 ),
    clause52 ).

cnf(c_0_157,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_144]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ c1_1(a692)
    | ~ hskp0 ),
    clause132 ).

cnf(c_0_159,negated_conjecture,
    ( c2_1(a692)
    | ~ hskp0 ),
    clause86 ).

cnf(c_0_160,negated_conjecture,
    ( epred10_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_145]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ c1_1(a725)
    | ~ hskp12 ),
    clause113 ).

cnf(c_0_162,negated_conjecture,
    ( ~ c3_1(a725)
    | ~ hskp12 ),
    clause114 ).

cnf(c_0_163,negated_conjecture,
    ( ~ c0_1(a725)
    | ~ hskp12 ),
    clause112 ).

cnf(c_0_164,negated_conjecture,
    ( epred22_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_146]),c_0_147])]) ).

fof(c_0_165,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( hskp6
        | c3_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_166,negated_conjecture,
    ( c0_1(a763)
    | ~ hskp23 ),
    clause56 ).

cnf(c_0_167,negated_conjecture,
    ( ~ c2_1(a763)
    | ~ hskp23 ),
    clause93 ).

cnf(c_0_168,negated_conjecture,
    ( epred29_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_148]) ).

cnf(c_0_169,negated_conjecture,
    ( epred34_0
    | ~ c2_1(a722)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).

cnf(c_0_170,negated_conjecture,
    ( epred23_0
    | c2_1(a722)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_151]) ).

fof(c_0_171,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_172,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_173,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_174,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_175,negated_conjecture,
    ( epred57_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_154]) ).

cnf(c_0_176,negated_conjecture,
    ( c1_1(a730)
    | ~ hskp14 ),
    clause67 ).

cnf(c_0_177,negated_conjecture,
    ( ~ c3_1(a730)
    | ~ hskp14 ),
    clause109 ).

cnf(c_0_178,negated_conjecture,
    ( c0_1(a730)
    | ~ hskp14 ),
    clause66 ).

cnf(c_0_179,negated_conjecture,
    ( epred34_0
    | ~ c2_1(a777)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_150]),c_0_156]) ).

cnf(c_0_180,negated_conjecture,
    ( epred6_0
    | c2_1(a777)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_157]),c_0_156]) ).

cnf(c_0_181,negated_conjecture,
    ( c1_1(a726)
    | ~ hskp13 ),
    clause68 ).

cnf(c_0_182,negated_conjecture,
    ( ~ c3_1(a726)
    | ~ hskp13 ),
    clause111 ).

cnf(c_0_183,negated_conjecture,
    ( ~ c0_1(a726)
    | ~ hskp13 ),
    clause110 ).

cnf(c_0_184,negated_conjecture,
    ( epred34_0
    | ~ c3_1(a692)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_150]),c_0_159]) ).

cnf(c_0_185,negated_conjecture,
    ( epred10_0
    | c3_1(a692)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_160]),c_0_159]) ).

cnf(c_0_186,negated_conjecture,
    ( epred10_0
    | ~ c2_1(a725)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_160]),c_0_162]) ).

cnf(c_0_187,negated_conjecture,
    ( epred22_0
    | c2_1(a725)
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_162]) ).

cnf(c_0_188,negated_conjecture,
    ( c0_1(a702)
    | ~ hskp6 ),
    clause77 ).

cnf(c_0_189,negated_conjecture,
    ( c3_1(a702)
    | ~ hskp6 ),
    clause78 ).

cnf(c_0_190,negated_conjecture,
    ( ~ c2_1(a702)
    | ~ hskp6 ),
    clause122 ).

cnf(c_0_191,negated_conjecture,
    ( epred3_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp6
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_165]),c_0_147])]) ).

cnf(c_0_192,negated_conjecture,
    ( epred23_0
    | ~ c3_1(a763)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_166]),c_0_167]) ).

cnf(c_0_193,negated_conjecture,
    ( epred29_0
    | c3_1(a763)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_166]),c_0_167]) ).

cnf(c_0_194,negated_conjecture,
    ( epred34_0
    | epred23_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_195,negated_conjecture,
    ( hskp11
    | hskp23
    | hskp13 ),
    clause36 ).

cnf(c_0_196,negated_conjecture,
    ( epred31_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_171]) ).

cnf(c_0_197,negated_conjecture,
    ( epred4_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_172]) ).

cnf(c_0_198,negated_conjecture,
    ( epred37_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_173]) ).

cnf(c_0_199,negated_conjecture,
    ( c0_1(a691)
    | ~ hskp27 ),
    clause49 ).

cnf(c_0_200,negated_conjecture,
    ( c3_1(a691)
    | ~ hskp27 ),
    clause51 ).

fof(c_0_201,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( hskp27
        | c1_1(X2)
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_202,negated_conjecture,
    ( ~ c1_1(a763)
    | ~ hskp23 ),
    clause92 ).

cnf(c_0_203,negated_conjecture,
    ( epred2_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_174]) ).

cnf(c_0_204,negated_conjecture,
    ( epred6_0
    | c2_1(a722)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_157]),c_0_151]) ).

cnf(c_0_205,negated_conjecture,
    ( epred57_0
    | ~ c2_1(a730)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]) ).

cnf(c_0_206,negated_conjecture,
    ( epred29_0
    | c2_1(a730)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_178]),c_0_177]) ).

cnf(c_0_207,negated_conjecture,
    ( epred34_0
    | epred6_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_208,negated_conjecture,
    ( hskp14
    | hskp7
    | hskp26 ),
    clause34 ).

cnf(c_0_209,negated_conjecture,
    ( c1_1(a708)
    | ~ hskp7 ),
    clause75 ).

cnf(c_0_210,negated_conjecture,
    ( c2_1(a708)
    | ~ hskp7 ),
    clause76 ).

cnf(c_0_211,negated_conjecture,
    ( ~ c3_1(a708)
    | ~ hskp7 ),
    clause121 ).

cnf(c_0_212,negated_conjecture,
    ( epred57_0
    | ~ c2_1(a726)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_181]),c_0_182]) ).

cnf(c_0_213,negated_conjecture,
    ( epred22_0
    | c2_1(a726)
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_164]),c_0_182]) ).

cnf(c_0_214,negated_conjecture,
    ( epred34_0
    | epred10_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_215,negated_conjecture,
    ( epred22_0
    | epred10_0
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_216,negated_conjecture,
    ( epred23_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_188]),c_0_189]),c_0_190]) ).

cnf(c_0_217,negated_conjecture,
    ( epred3_0
    | hskp6
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_181]),c_0_182]),c_0_183]) ).

cnf(c_0_218,negated_conjecture,
    ( epred29_0
    | epred23_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_219,negated_conjecture,
    ( epred34_0
    | epred23_0
    | hskp13
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ c0_1(a692)
    | ~ hskp0 ),
    clause131 ).

cnf(c_0_221,negated_conjecture,
    ( epred31_0
    | ~ c2_1(a725)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_196]),c_0_162]) ).

cnf(c_0_222,negated_conjecture,
    ( epred4_0
    | c2_1(a725)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_197]),c_0_162]) ).

fof(c_0_223,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( hskp29
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_224,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_225,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_226,negated_conjecture,
    ( epred37_0
    | ~ c2_1(a691)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).

cnf(c_0_227,negated_conjecture,
    ( epred23_0
    | c2_1(a691)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_199]),c_0_200]) ).

cnf(c_0_228,negated_conjecture,
    ( epred1_0
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp27 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_201]),c_0_147])]) ).

fof(c_0_229,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( hskp13
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_230,plain,
    ( ~ epred58_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_231,negated_conjecture,
    ( epred6_0
    | ~ c3_1(a763)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_157]),c_0_167]) ).

cnf(c_0_232,negated_conjecture,
    ( epred2_0
    | c3_1(a763)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_166]) ).

cnf(c_0_233,negated_conjecture,
    ( epred34_0
    | epred6_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_169,c_0_204]) ).

fof(c_0_234,plain,
    ( ~ epred54_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c0_1(X3)
        | ~ ndr1_0
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_235,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    clause189 ).

cnf(c_0_236,negated_conjecture,
    ( epred57_0
    | epred29_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_237,negated_conjecture,
    ( epred34_0
    | epred6_0
    | hskp7
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_238,negated_conjecture,
    ( epred57_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_209]),c_0_210]),c_0_211]) ).

cnf(c_0_239,negated_conjecture,
    ( epred57_0
    | epred22_0
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_240,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred10_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_241,negated_conjecture,
    ( hskp13
    | hskp20
    | hskp12 ),
    clause39 ).

cnf(c_0_242,negated_conjecture,
    ( ~ c3_1(a754)
    | ~ hskp20 ),
    clause98 ).

cnf(c_0_243,negated_conjecture,
    ( epred57_0
    | epred10_0
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_175,c_0_160]) ).

cnf(c_0_244,negated_conjecture,
    ( c2_1(a754)
    | ~ hskp20 ),
    clause60 ).

cnf(c_0_245,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause157 ).

cnf(c_0_246,negated_conjecture,
    ( epred23_0
    | epred3_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_247,negated_conjecture,
    ( epred34_0
    | epred29_0
    | epred23_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_248,negated_conjecture,
    ( epred31_0
    | c3_1(a692)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_196]),c_0_159]) ).

cnf(c_0_249,negated_conjecture,
    ( epred31_0
    | ~ c2_1(a726)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_196]),c_0_182]) ).

cnf(c_0_250,negated_conjecture,
    ( epred4_0
    | c2_1(a726)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_197]),c_0_182]) ).

cnf(c_0_251,negated_conjecture,
    ( epred31_0
    | epred4_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_252,negated_conjecture,
    ( epred24_0
    | c0_1(X1)
    | hskp29
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_223]),c_0_147])]) ).

cnf(c_0_253,negated_conjecture,
    ( epred15_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_224]) ).

cnf(c_0_254,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_225]) ).

fof(c_0_255,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( hskp6
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_256,negated_conjecture,
    ( epred37_0
    | epred23_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_257,negated_conjecture,
    ( epred1_0
    | hskp27
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_228]),c_0_162]),c_0_163]) ).

cnf(c_0_258,negated_conjecture,
    ( epred37_0
    | ~ c2_1(a722)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_153]),c_0_151]) ).

cnf(c_0_259,negated_conjecture,
    ( epred13_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp13
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_229]),c_0_147])]) ).

fof(c_0_260,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( hskp12
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_261,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( hskp5
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_262,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( hskp10
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_263,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_264,negated_conjecture,
    ( epred58_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_230]) ).

cnf(c_0_265,negated_conjecture,
    ( epred6_0
    | epred2_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_266,negated_conjecture,
    ( epred34_0
    | epred6_0
    | hskp13
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_233,c_0_195]) ).

fof(c_0_267,plain,
    ( ~ epred61_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c3_1(X3)
        | c0_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_268,negated_conjecture,
    ( ~ c0_1(a777)
    | ~ hskp26 ),
    clause87 ).

cnf(c_0_269,negated_conjecture,
    ( epred54_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_234]),c_0_147])]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ epred54_0
    | ~ epred10_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_235,c_0_234]),c_0_145]),c_0_144]) ).

cnf(c_0_271,negated_conjecture,
    ( epred57_0
    | epred34_0
    | epred29_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]) ).

cnf(c_0_272,negated_conjecture,
    ( epred57_0
    | epred34_0
    | epred22_0
    | epred10_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_214,c_0_239]) ).

cnf(c_0_273,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred10_0
    | hskp13
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_274,negated_conjecture,
    ( epred57_0
    | epred10_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_245,c_0_165]),c_0_172]) ).

cnf(c_0_276,negated_conjecture,
    ( epred34_0
    | epred29_0
    | epred23_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_277,negated_conjecture,
    ( epred34_0
    | epred31_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_248]) ).

cnf(c_0_278,negated_conjecture,
    ( epred31_0
    | epred22_0
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_221,c_0_187]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ c0_1(a754)
    | ~ hskp20 ),
    clause97 ).

cnf(c_0_280,negated_conjecture,
    ( epred31_0
    | epred22_0
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_249,c_0_213]) ).

cnf(c_0_281,negated_conjecture,
    ( epred31_0
    | epred4_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_282,negated_conjecture,
    ( epred31_0
    | epred4_0
    | hskp13
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_251,c_0_241]) ).

cnf(c_0_283,negated_conjecture,
    ( c0_1(a713)
    | ~ hskp29 ),
    clause43 ).

cnf(c_0_284,negated_conjecture,
    ( c2_1(a713)
    | ~ hskp29 ),
    clause44 ).

cnf(c_0_285,negated_conjecture,
    ( c3_1(a713)
    | ~ hskp29 ),
    clause45 ).

cnf(c_0_286,negated_conjecture,
    ( epred24_0
    | hskp29
    | ~ c2_1(a726)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_181]),c_0_183]) ).

cnf(c_0_287,negated_conjecture,
    ( epred15_0
    | c2_1(a726)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_181]),c_0_182]) ).

cnf(c_0_288,negated_conjecture,
    ( epred8_0
    | c2_1(a722)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_254]),c_0_153]) ).

cnf(c_0_289,negated_conjecture,
    ( epred14_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp6
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_255]),c_0_147])]) ).

cnf(c_0_290,negated_conjecture,
    ( epred37_0
    | epred23_0
    | epred1_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_291,negated_conjecture,
    ( epred37_0
    | epred23_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_258,c_0_170]) ).

cnf(c_0_292,negated_conjecture,
    ( epred13_0
    | c3_1(a763)
    | hskp13
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_166]),c_0_202]) ).

fof(c_0_293,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( hskp28
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_294,negated_conjecture,
    ( epred27_0
    | c2_1(X1)
    | hskp12
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_260]),c_0_147])]) ).

cnf(c_0_295,negated_conjecture,
    ( c1_1(a717)
    | ~ hskp10 ),
    clause71 ).

cnf(c_0_296,negated_conjecture,
    ( ~ c2_1(a717)
    | ~ hskp10 ),
    clause116 ).

cnf(c_0_297,negated_conjecture,
    ( epred16_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp5
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_261]),c_0_147])]) ).

cnf(c_0_298,negated_conjecture,
    ( c3_1(a717)
    | ~ hskp10 ),
    clause72 ).

cnf(c_0_299,negated_conjecture,
    ( epred30_0
    | c0_1(X1)
    | hskp10
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_262]),c_0_147])]) ).

cnf(c_0_300,negated_conjecture,
    ( c1_1(a761)
    | ~ hskp22 ),
    clause57 ).

cnf(c_0_301,negated_conjecture,
    ( ~ c0_1(a761)
    | ~ hskp22 ),
    clause94 ).

cnf(c_0_302,negated_conjecture,
    ( epred52_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_263]),c_0_147])]) ).

fof(c_0_303,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( hskp3
        | c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_304,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( hskp3
        | c1_1(X2)
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_305,plain,
    ( ~ epred56_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c0_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_306,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3) ),
    clause191 ).

cnf(c_0_307,negated_conjecture,
    ( epred58_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_181]),c_0_182]),c_0_183]) ).

cnf(c_0_308,negated_conjecture,
    ( epred34_0
    | epred6_0
    | epred2_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

fof(c_0_309,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( hskp28
        | c1_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_310,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_311,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_312,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp0
    | hskp1
    | ~ ndr1_0 ),
    clause133 ).

cnf(c_0_313,negated_conjecture,
    ( c3_1(X1)
    | hskp21
    | hskp22
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause152 ).

fof(c_0_314,plain,
    ( ~ epred55_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c0_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_315,negated_conjecture,
    ( hskp23
    | hskp24
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause153 ).

fof(c_0_316,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_317,negated_conjecture,
    ( epred61_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_267]),c_0_147])]) ).

cnf(c_0_318,negated_conjecture,
    ( epred54_0
    | c2_1(a777)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_156]) ).

cnf(c_0_319,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause162 ).

cnf(c_0_320,negated_conjecture,
    ( epred57_0
    | epred34_0
    | epred29_0
    | ~ epred54_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_321,negated_conjecture,
    ( epred57_0
    | epred34_0
    | epred22_0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).

cnf(c_0_322,negated_conjecture,
    ( epred57_0
    | epred4_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_212,c_0_250]) ).

cnf(c_0_323,negated_conjecture,
    ( epred34_0
    | epred29_0
    | epred23_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

fof(c_0_324,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( hskp28
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_325,negated_conjecture,
    ( epred34_0
    | epred31_0
    | epred22_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_277,c_0_278]) ).

cnf(c_0_326,negated_conjecture,
    ( epred31_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_196]),c_0_244]),c_0_242]) ).

cnf(c_0_327,negated_conjecture,
    ( epred34_0
    | epred31_0
    | epred22_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_277,c_0_280]) ).

cnf(c_0_328,negated_conjecture,
    ( epred31_0
    | epred4_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_281,c_0_282]) ).

cnf(c_0_329,negated_conjecture,
    ( epred37_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_283]),c_0_284]),c_0_285]) ).

cnf(c_0_330,negated_conjecture,
    ( epred24_0
    | epred15_0
    | hskp29
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_286,c_0_287]) ).

cnf(c_0_331,negated_conjecture,
    ( epred37_0
    | epred8_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_258,c_0_288]) ).

cnf(c_0_332,negated_conjecture,
    ( epred8_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_254]),c_0_166]),c_0_167]) ).

fof(c_0_333,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( hskp0
        | c1_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_334,negated_conjecture,
    ( epred14_0
    | hskp6
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_244]),c_0_242]),c_0_279]) ).

cnf(c_0_335,negated_conjecture,
    ( epred37_0
    | epred23_0
    | epred1_0
    | hskp13
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_290,c_0_241]) ).

cnf(c_0_336,negated_conjecture,
    ( epred23_0
    | epred2_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_192,c_0_232]) ).

cnf(c_0_337,negated_conjecture,
    ( epred37_0
    | epred23_0
    | hskp13
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_291,c_0_195]) ).

cnf(c_0_338,negated_conjecture,
    ( epred13_0
    | epred6_0
    | hskp13
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_231,c_0_292]) ).

cnf(c_0_339,negated_conjecture,
    ( epred9_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp28
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_293]),c_0_147])]) ).

fof(c_0_340,plain,
    ( ~ epred62_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_341,negated_conjecture,
    ( epred27_0
    | hskp12
    | ~ c0_1(a717)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]) ).

cnf(c_0_342,negated_conjecture,
    ( epred16_0
    | c0_1(a717)
    | hskp5
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_296]) ).

cnf(c_0_343,negated_conjecture,
    ( epred30_0
    | hskp10
    | ~ c3_1(a761)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]) ).

cnf(c_0_344,negated_conjecture,
    ( epred58_0
    | c3_1(a761)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_300]),c_0_301]) ).

cnf(c_0_345,negated_conjecture,
    ( epred52_0
    | c0_1(a717)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_295]),c_0_296]) ).

cnf(c_0_346,negated_conjecture,
    ( c1_1(a760)
    | ~ hskp21 ),
    clause58 ).

cnf(c_0_347,negated_conjecture,
    ( c3_1(a760)
    | ~ hskp21 ),
    clause59 ).

cnf(c_0_348,negated_conjecture,
    ( ~ c0_1(a760)
    | ~ hskp21 ),
    clause96 ).

fof(c_0_349,plain,
    ( ~ epred47_0
  <=> ! [X2] :
        ( hskp28
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_350,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( hskp14
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_351,negated_conjecture,
    ( epred19_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp3
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_303]),c_0_147])]) ).

cnf(c_0_352,negated_conjecture,
    ( epred17_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_304]),c_0_147])]) ).

cnf(c_0_353,negated_conjecture,
    ( c0_1(a697)
    | ~ hskp3 ),
    clause81 ).

cnf(c_0_354,negated_conjecture,
    ( ~ c3_1(a697)
    | ~ hskp3 ),
    clause127 ).

cnf(c_0_355,negated_conjecture,
    ( ~ epred57_0
    | ~ epred56_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_306,c_0_305]),c_0_154]),c_0_174]) ).

cnf(c_0_356,negated_conjecture,
    ( epred58_0
    | epred34_0
    | epred6_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_307,c_0_308]) ).

cnf(c_0_357,negated_conjecture,
    ( epred7_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp28
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_309]),c_0_147])]) ).

cnf(c_0_358,negated_conjecture,
    ( c2_1(a710)
    | ~ hskp8 ),
    clause73 ).

cnf(c_0_359,negated_conjecture,
    ( ~ c0_1(a710)
    | ~ hskp8 ),
    clause120 ).

cnf(c_0_360,negated_conjecture,
    ( c1_1(a764)
    | ~ hskp24 ),
    clause55 ).

cnf(c_0_361,negated_conjecture,
    ( ~ c3_1(a764)
    | ~ hskp24 ),
    clause91 ).

cnf(c_0_362,negated_conjecture,
    ( epred41_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_310]) ).

cnf(c_0_363,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp3
    | hskp1
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause140 ).

cnf(c_0_364,negated_conjecture,
    ( epred25_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_311]) ).

fof(c_0_365,plain,
    ( ~ epred45_0
  <=> ! [X2] :
        ( hskp8
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_366,negated_conjecture,
    ( ~ c1_1(a751)
    | ~ hskp18 ),
    clause101 ).

cnf(c_0_367,negated_conjecture,
    ( c0_1(a751)
    | ~ hskp18 ),
    clause62 ).

cnf(c_0_368,negated_conjecture,
    ( ~ c1_1(a744)
    | ~ hskp17 ),
    clause103 ).

cnf(c_0_369,negated_conjecture,
    ( ~ c2_1(a744)
    | ~ hskp17 ),
    clause104 ).

cnf(c_0_370,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp3
    | hskp4
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause138 ).

fof(c_0_371,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( hskp2
        | c1_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_372,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp2
    | hskp7
    | ~ ndr1_0 ),
    clause135 ).

cnf(c_0_373,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp0
    | hskp1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_147])]) ).

cnf(c_0_374,negated_conjecture,
    ( c3_1(X1)
    | hskp21
    | hskp22
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_147])]) ).

cnf(c_0_375,negated_conjecture,
    ( epred55_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_314]),c_0_147])]) ).

cnf(c_0_376,negated_conjecture,
    ( c2_1(X1)
    | hskp16
    | hskp20
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause149 ).

cnf(c_0_377,negated_conjecture,
    ( c2_1(X1)
    | hskp18
    | hskp19
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause148 ).

cnf(c_0_378,negated_conjecture,
    ( c1_1(X1)
    | hskp7
    | hskp13
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause146 ).

fof(c_0_379,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( hskp20
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_380,negated_conjecture,
    ( hskp27
    | hskp18
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause154 ).

cnf(c_0_381,negated_conjecture,
    ( hskp23
    | hskp24
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_147])]) ).

cnf(c_0_382,negated_conjecture,
    ( epred43_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_316]) ).

fof(c_0_383,plain,
    ( ~ epred46_0
  <=> ! [X2] :
        ( hskp5
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_384,negated_conjecture,
    ( epred61_0
    | epred29_0
    | c3_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_317]) ).

fof(c_0_385,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( hskp16
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_386,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( hskp17
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_387,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( hskp28
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_388,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( hskp30
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_389,plain,
    ( ~ epred60_0
  <=> ! [X3] :
        ( c0_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_390,plain,
    ( ~ epred59_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_391,negated_conjecture,
    ( epred54_0
    | epred34_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_179,c_0_318]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_319,c_0_146]),c_0_143]) ).

cnf(c_0_393,negated_conjecture,
    ( epred57_0
    | epred34_0
    | epred29_0
    | epred22_0
    | ~ epred54_0 ),
    inference(spm,[status(thm)],[c_0_320,c_0_321]) ).

cnf(c_0_394,negated_conjecture,
    ( epred57_0
    | epred34_0
    | epred29_0
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_247]),c_0_323]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ c2_1(a764)
    | ~ hskp24 ),
    clause90 ).

cnf(c_0_396,negated_conjecture,
    ( ~ c2_1(a761)
    | ~ hskp22 ),
    clause95 ).

cnf(c_0_397,negated_conjecture,
    ( epred26_0
    | c3_1(X1)
    | hskp28
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_324]),c_0_147])]) ).

cnf(c_0_398,negated_conjecture,
    ( epred34_0
    | epred31_0
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_241]),c_0_326]),c_0_327]) ).

cnf(c_0_399,negated_conjecture,
    ( epred31_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_326,c_0_328]) ).

fof(c_0_400,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( hskp4
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_401,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause172 ).

cnf(c_0_402,negated_conjecture,
    ( epred37_0
    | epred24_0
    | epred15_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_329,c_0_330]) ).

cnf(c_0_403,negated_conjecture,
    ( epred37_0
    | epred8_0
    | hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_195]),c_0_332]) ).

cnf(c_0_404,negated_conjecture,
    ( epred21_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp0
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_333]),c_0_147])]) ).

cnf(c_0_405,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp27
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause156 ).

cnf(c_0_406,negated_conjecture,
    ( epred23_0
    | epred14_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_216,c_0_334]) ).

cnf(c_0_407,negated_conjecture,
    ( epred37_0
    | epred23_0
    | epred3_0
    | epred1_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_246,c_0_335]) ).

cnf(c_0_408,negated_conjecture,
    ( epred37_0
    | epred23_0
    | epred2_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_336,c_0_337]) ).

cnf(c_0_409,negated_conjecture,
    ( epred16_0
    | c2_1(a777)
    | hskp5
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_156]),c_0_268]) ).

cnf(c_0_410,negated_conjecture,
    ( epred34_0
    | epred13_0
    | epred6_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_338,c_0_266]) ).

cnf(c_0_411,negated_conjecture,
    ( epred9_0
    | c3_1(a763)
    | hskp28
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_166]),c_0_167]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ c1_1(a701)
    | ~ hskp5 ),
    clause123 ).

cnf(c_0_413,negated_conjecture,
    ( c2_1(a701)
    | ~ hskp5 ),
    clause80 ).

cnf(c_0_414,negated_conjecture,
    ( c0_1(a701)
    | ~ hskp5 ),
    clause79 ).

cnf(c_0_415,negated_conjecture,
    ( ~ c1_1(a693)
    | ~ hskp1 ),
    clause129 ).

cnf(c_0_416,negated_conjecture,
    ( ~ c3_1(a693)
    | ~ hskp1 ),
    clause130 ).

cnf(c_0_417,negated_conjecture,
    ( c2_1(a693)
    | ~ hskp1 ),
    clause85 ).

cnf(c_0_418,negated_conjecture,
    ( epred62_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_340]) ).

cnf(c_0_419,negated_conjecture,
    ( hskp29
    | hskp7
    | hskp13 ),
    clause35 ).

fof(c_0_420,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_421,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_422,negated_conjecture,
    ( c0_1(a696)
    | ~ hskp2 ),
    clause83 ).

cnf(c_0_423,negated_conjecture,
    ( ~ c2_1(a696)
    | ~ hskp2 ),
    clause128 ).

cnf(c_0_424,negated_conjecture,
    ( c1_1(a696)
    | ~ hskp2 ),
    clause84 ).

fof(c_0_425,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_426,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_427,negated_conjecture,
    ( epred27_0
    | epred16_0
    | hskp5
    | hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_341,c_0_342]) ).

cnf(c_0_428,negated_conjecture,
    ( epred58_0
    | epred30_0
    | hskp10
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_343,c_0_344]) ).

cnf(c_0_429,negated_conjecture,
    ( epred52_0
    | epred27_0
    | hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_341,c_0_345]) ).

cnf(c_0_430,negated_conjecture,
    ( epred30_0
    | hskp10
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_346]),c_0_347]),c_0_348]) ).

cnf(c_0_431,negated_conjecture,
    ( epred27_0
    | epred6_0
    | c2_1(X1)
    | hskp12
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_294,c_0_157]) ).

cnf(c_0_432,negated_conjecture,
    ( epred47_0
    | c2_1(X1)
    | hskp28
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_349]),c_0_147])]) ).

cnf(c_0_433,negated_conjecture,
    ( epred44_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp14
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_350]),c_0_147])]) ).

cnf(c_0_434,negated_conjecture,
    ( epred19_0
    | epred17_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_435,negated_conjecture,
    ( epred13_0
    | c1_1(a697)
    | hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_353]),c_0_354]) ).

cnf(c_0_436,negated_conjecture,
    ( epred58_0
    | epred34_0
    | epred6_0
    | ~ epred57_0
    | ~ epred56_0 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_437,negated_conjecture,
    ( epred7_0
    | c1_1(a710)
    | hskp28
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]) ).

cnf(c_0_438,negated_conjecture,
    ( epred58_0
    | epred10_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_264,c_0_160]) ).

cnf(c_0_439,negated_conjecture,
    ( epred58_0
    | c0_1(a764)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_360]),c_0_361]) ).

cnf(c_0_440,negated_conjecture,
    ( epred58_0
    | c0_1(a708)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_209]),c_0_211]) ).

cnf(c_0_441,negated_conjecture,
    ( epred41_0
    | epred8_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_362,c_0_254]) ).

cnf(c_0_442,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp1
    | hskp3
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_147])]) ).

cnf(c_0_443,negated_conjecture,
    ( epred3_0
    | epred1_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp6
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_191,c_0_228]) ).

cnf(c_0_444,negated_conjecture,
    ( epred25_0
    | c0_1(a717)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_295]),c_0_296]) ).

cnf(c_0_445,negated_conjecture,
    ( epred3_0
    | c0_1(a764)
    | hskp6
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_360]),c_0_361]) ).

cnf(c_0_446,negated_conjecture,
    ( epred15_0
    | epred8_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_447,negated_conjecture,
    ( c0_1(a752)
    | ~ hskp19 ),
    clause61 ).

cnf(c_0_448,negated_conjecture,
    ( epred45_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp8
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_365]),c_0_147])]) ).

cnf(c_0_449,negated_conjecture,
    ( epred8_0
    | c2_1(a751)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_254]),c_0_367]) ).

cnf(c_0_450,negated_conjecture,
    ( epred8_0
    | ~ c0_1(a744)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_254]),c_0_369]) ).

cnf(c_0_451,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp3
    | hskp4
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_147])]) ).

cnf(c_0_452,negated_conjecture,
    ( epred33_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp2
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_371]),c_0_147])]) ).

cnf(c_0_453,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp2
    | hskp7 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_147])]) ).

cnf(c_0_454,negated_conjecture,
    ( epred58_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp0
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_264,c_0_373]) ).

cnf(c_0_455,negated_conjecture,
    ( epred55_0
    | c3_1(X1)
    | hskp21
    | hskp22
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_456,negated_conjecture,
    ( c2_1(a697)
    | ~ hskp3 ),
    clause82 ).

cnf(c_0_457,negated_conjecture,
    ( c2_1(X1)
    | hskp16
    | hskp20
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_147])]) ).

cnf(c_0_458,negated_conjecture,
    ( c2_1(X1)
    | hskp18
    | hskp19
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_147])]) ).

cnf(c_0_459,negated_conjecture,
    ( c1_1(X1)
    | hskp7
    | hskp13
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_147])]) ).

cnf(c_0_460,negated_conjecture,
    ( c3_1(a738)
    | ~ hskp16 ),
    clause64 ).

cnf(c_0_461,negated_conjecture,
    ( epred48_0
    | c3_1(X1)
    | hskp20
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_379]),c_0_147])]) ).

cnf(c_0_462,negated_conjecture,
    ( hskp18
    | hskp27
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_147])]) ).

cnf(c_0_463,negated_conjecture,
    ( epred43_0
    | hskp23
    | hskp24
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_464,negated_conjecture,
    ( c1_1(a695)
    | ~ hskp28 ),
    clause47 ).

cnf(c_0_465,negated_conjecture,
    ( c1_1(a691)
    | ~ hskp27 ),
    clause50 ).

cnf(c_0_466,negated_conjecture,
    ( epred46_0
    | c0_1(X1)
    | hskp5
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_383]),c_0_147])]) ).

cnf(c_0_467,negated_conjecture,
    ( epred61_0
    | epred29_0
    | c2_1(a725)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_162,c_0_384]) ).

cnf(c_0_468,negated_conjecture,
    ( epred42_0
    | c3_1(X1)
    | hskp16
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_147])]) ).

cnf(c_0_469,negated_conjecture,
    ( epred40_0
    | c3_1(X1)
    | hskp17
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_386]),c_0_147])]) ).

cnf(c_0_470,negated_conjecture,
    ( epred38_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp28
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_387]),c_0_147])]) ).

cnf(c_0_471,negated_conjecture,
    ( epred36_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp30
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_388]),c_0_147])]) ).

cnf(c_0_472,negated_conjecture,
    ( epred60_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_389]),c_0_147])]) ).

cnf(c_0_473,negated_conjecture,
    ( epred59_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_390]),c_0_147])]) ).

cnf(c_0_474,negated_conjecture,
    ( epred56_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_305]),c_0_147])]) ).

cnf(c_0_475,negated_conjecture,
    ( c1_1(a733)
    | ~ hskp30 ),
    clause40 ).

cnf(c_0_476,negated_conjecture,
    ( epred54_0
    | epred34_0
    | hskp7
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_391,c_0_208]) ).

cnf(c_0_477,negated_conjecture,
    ( epred57_0
    | epred34_0
    | epred29_0
    | ~ epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_394]) ).

cnf(c_0_478,negated_conjecture,
    ( epred27_0
    | hskp12
    | ~ c0_1(a764)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_360]),c_0_395]) ).

cnf(c_0_479,negated_conjecture,
    ( epred54_0
    | ~ c3_1(a761)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_269]),c_0_396]) ).

cnf(c_0_480,negated_conjecture,
    ( epred15_0
    | c3_1(a761)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_300]),c_0_396]) ).

cnf(c_0_481,negated_conjecture,
    ( epred26_0
    | hskp28
    | ~ c2_1(a726)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_181]),c_0_182]) ).

cnf(c_0_482,negated_conjecture,
    ( epred52_0
    | c2_1(a726)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_181]),c_0_183]) ).

cnf(c_0_483,negated_conjecture,
    ( epred26_0
    | hskp28
    | ~ c2_1(a730)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_176]),c_0_177]) ).

cnf(c_0_484,negated_conjecture,
    ( epred9_0
    | c2_1(a730)
    | hskp28
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_178]),c_0_177]) ).

cnf(c_0_485,negated_conjecture,
    ( epred34_0
    | epred31_0
    | ~ epred23_0 ),
    inference(spm,[status(thm)],[c_0_392,c_0_398]) ).

cnf(c_0_486,negated_conjecture,
    ( epred34_0
    | epred31_0
    | epred29_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_323,c_0_399]) ).

cnf(c_0_487,negated_conjecture,
    ( ~ epred32_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_401,c_0_400]),c_0_225]) ).

cnf(c_0_488,negated_conjecture,
    ( epred37_0
    | epred24_0
    | epred15_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_402,c_0_403]) ).

cnf(c_0_489,negated_conjecture,
    ( epred21_0
    | hskp0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_156]),c_0_155]),c_0_268]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_405,c_0_201]),c_0_174]) ).

cnf(c_0_491,negated_conjecture,
    ( epred37_0
    | epred23_0
    | epred14_0
    | epred3_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_406,c_0_407]) ).

cnf(c_0_492,negated_conjecture,
    ( epred37_0
    | epred23_0
    | epred3_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_246,c_0_408]) ).

cnf(c_0_493,negated_conjecture,
    ( epred34_0
    | epred16_0
    | hskp5
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_179,c_0_409]) ).

cnf(c_0_494,negated_conjecture,
    ( epred58_0
    | epred34_0
    | epred13_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_307,c_0_410]) ).

cnf(c_0_495,negated_conjecture,
    ( epred23_0
    | epred9_0
    | hskp28
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_192,c_0_411]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ c3_1(a751)
    | ~ hskp18 ),
    clause102 ).

cnf(c_0_497,negated_conjecture,
    ( epred34_0
    | ~ c3_1(a701)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_150]),c_0_413]) ).

cnf(c_0_498,negated_conjecture,
    ( epred13_0
    | c3_1(a701)
    | hskp13
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_414]),c_0_412]) ).

cnf(c_0_499,negated_conjecture,
    ( epred2_0
    | ~ c0_1(a693)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_203]),c_0_416]) ).

cnf(c_0_500,negated_conjecture,
    ( epred7_0
    | c0_1(a693)
    | hskp28
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_417]),c_0_415]) ).

cnf(c_0_501,negated_conjecture,
    ( epred62_0
    | ~ c0_1(a764)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_360]),c_0_361]) ).

cnf(c_0_502,negated_conjecture,
    ( epred37_0
    | hskp7
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_329,c_0_419]) ).

cnf(c_0_503,negated_conjecture,
    ( epred53_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_420]) ).

cnf(c_0_504,negated_conjecture,
    ( epred39_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_421]) ).

cnf(c_0_505,negated_conjecture,
    ( c2_1(a733)
    | ~ hskp30 ),
    clause41 ).

cnf(c_0_506,negated_conjecture,
    ( c3_1(a733)
    | ~ hskp30 ),
    clause42 ).

cnf(c_0_507,negated_conjecture,
    ( c2_1(a695)
    | ~ hskp28 ),
    clause48 ).

cnf(c_0_508,negated_conjecture,
    ( c0_1(a695)
    | ~ hskp28 ),
    clause46 ).

cnf(c_0_509,negated_conjecture,
    ( epred37_0
    | ~ c3_1(a701)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_414]),c_0_413]) ).

cnf(c_0_510,negated_conjecture,
    ( epred2_0
    | c3_1(a701)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_203]),c_0_414]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ c1_1(a738)
    | ~ hskp16 ),
    clause106 ).

cnf(c_0_512,negated_conjecture,
    ( c2_1(a738)
    | ~ hskp16 ),
    clause63 ).

cnf(c_0_513,negated_conjecture,
    ( epred34_0
    | epred8_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_169,c_0_288]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ c2_1(a752)
    | ~ hskp19 ),
    clause99 ).

cnf(c_0_515,negated_conjecture,
    ( ~ c3_1(a752)
    | ~ hskp19 ),
    clause100 ).

cnf(c_0_516,negated_conjecture,
    ( epred23_0
    | ~ c3_1(a696)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_422]),c_0_423]) ).

cnf(c_0_517,negated_conjecture,
    ( epred15_0
    | c3_1(a696)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_424]),c_0_423]) ).

cnf(c_0_518,negated_conjecture,
    ( epred20_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_425]) ).

cnf(c_0_519,negated_conjecture,
    ( epred18_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_426]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ c0_1(a698)
    | ~ hskp4 ),
    clause124 ).

cnf(c_0_521,negated_conjecture,
    ( ~ c2_1(a698)
    | ~ hskp4 ),
    clause125 ).

cnf(c_0_522,negated_conjecture,
    ( ~ c3_1(a698)
    | ~ hskp4 ),
    clause126 ).

cnf(c_0_523,negated_conjecture,
    ( epred29_0
    | epred4_0
    | c3_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_197]) ).

cnf(c_0_524,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    clause194 ).

cnf(c_0_525,negated_conjecture,
    ( c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause193 ).

cnf(c_0_526,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    clause195 ).

cnf(c_0_527,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    clause196 ).

cnf(c_0_528,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    clause192 ).

cnf(c_0_529,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3) ),
    clause190 ).

cnf(c_0_530,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    clause184 ).

cnf(c_0_531,negated_conjecture,
    ( c3_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    clause188 ).

cnf(c_0_532,negated_conjecture,
    ( c2_1(X2)
    | hskp28
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    clause186 ).

cnf(c_0_533,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    clause179 ).

cnf(c_0_534,negated_conjecture,
    ( c0_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause178 ).

cnf(c_0_535,negated_conjecture,
    ( c1_1(X2)
    | c3_1(X2)
    | hskp14
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause180 ).

cnf(c_0_536,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | hskp16
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    clause181 ).

cnf(c_0_537,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp17
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause183 ).

cnf(c_0_538,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | hskp28
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause177 ).

cnf(c_0_539,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | hskp30
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause182 ).

cnf(c_0_540,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp2
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause169 ).

cnf(c_0_541,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp10
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause171 ).

cnf(c_0_542,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp12
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause174 ).

cnf(c_0_543,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp28
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause176 ).

cnf(c_0_544,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp29
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause170 ).

cnf(c_0_545,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause161 ).

cnf(c_0_546,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp3
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause160 ).

cnf(c_0_547,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause166 ).

cnf(c_0_548,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause164 ).

cnf(c_0_549,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause165 ).

cnf(c_0_550,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause167 ).

cnf(c_0_551,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp28
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause168 ).

cnf(c_0_552,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp28
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause159 ).

cnf(c_0_553,negated_conjecture,
    ( epred27_0
    | epred16_0
    | hskp5
    | hskp12
    | epred58_0
    | epred30_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_427,c_0_428]) ).

cnf(c_0_554,negated_conjecture,
    ( epred52_0
    | epred27_0
    | hskp12
    | epred30_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_429,c_0_430]) ).

cnf(c_0_555,negated_conjecture,
    ( epred27_0
    | epred16_0
    | hskp5
    | hskp12
    | epred30_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_427,c_0_430]) ).

cnf(c_0_556,negated_conjecture,
    ( epred27_0
    | epred6_0
    | c2_1(a702)
    | hskp12
    | ~ c3_1(a702)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_431,c_0_188]) ).

cnf(c_0_557,negated_conjecture,
    ( epred47_0
    | c2_1(a717)
    | hskp28
    | epred52_0
    | ~ c3_1(a717)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_432,c_0_345]) ).

cnf(c_0_558,negated_conjecture,
    ( epred23_0
    | c2_1(a717)
    | epred52_0
    | ~ c3_1(a717)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_152,c_0_345]) ).

cnf(c_0_559,negated_conjecture,
    ( epred44_0
    | c3_1(a725)
    | c1_1(a725)
    | hskp14
    | epred22_0
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_433,c_0_187]) ).

cnf(c_0_560,negated_conjecture,
    ( epred7_0
    | c0_1(a725)
    | c1_1(a725)
    | hskp28
    | epred22_0
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_357,c_0_187]) ).

cnf(c_0_561,negated_conjecture,
    ( epred19_0
    | epred17_0
    | c3_1(a725)
    | c2_1(a725)
    | hskp3
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_163,c_0_434]) ).

cnf(c_0_562,negated_conjecture,
    ( epred62_0
    | c3_1(a697)
    | epred13_0
    | hskp13
    | ~ c0_1(a697)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_418,c_0_435]) ).

cnf(c_0_563,negated_conjecture,
    ( epred58_0
    | epred34_0
    | ~ epred54_0
    | ~ epred10_0
    | ~ epred57_0
    | ~ epred56_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_436]) ).

cnf(c_0_564,negated_conjecture,
    ( epred30_0
    | c0_1(a710)
    | hskp10
    | epred7_0
    | hskp28
    | ~ c3_1(a710)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_299,c_0_437]) ).

cnf(c_0_565,negated_conjecture,
    ( epred58_0
    | epred10_0
    | c3_1(a754)
    | ~ hskp20
    | ~ c2_1(a754) ),
    inference(spm,[status(thm)],[c_0_279,c_0_438]) ).

cnf(c_0_566,negated_conjecture,
    ( epred29_0
    | c3_1(a764)
    | c2_1(a764)
    | epred58_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_168,c_0_439]) ).

cnf(c_0_567,negated_conjecture,
    ( c3_1(a708)
    | hskp21
    | hskp22
    | epred58_0
    | ~ c2_1(a708)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_374,c_0_440]) ).

cnf(c_0_568,negated_conjecture,
    ( epred41_0
    | epred8_0
    | c2_1(a702)
    | ~ c3_1(a702)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_441,c_0_188]) ).

cnf(c_0_569,negated_conjecture,
    ( c2_1(a763)
    | c1_1(a763)
    | hskp1
    | hskp3
    | epred29_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_442,c_0_193]) ).

cnf(c_0_570,negated_conjecture,
    ( epred3_0
    | epred1_0
    | c3_1(a725)
    | hskp6
    | hskp27
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_163,c_0_443]) ).

cnf(c_0_571,negated_conjecture,
    ( epred47_0
    | c2_1(a717)
    | hskp28
    | epred25_0
    | ~ c3_1(a717)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_432,c_0_444]) ).

cnf(c_0_572,negated_conjecture,
    ( epred29_0
    | c3_1(a764)
    | c2_1(a764)
    | epred3_0
    | hskp6
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_168,c_0_445]) ).

cnf(c_0_573,negated_conjecture,
    ( epred15_0
    | epred8_0
    | c3_1(a752)
    | c2_1(a752)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_446,c_0_447]) ).

cnf(c_0_574,negated_conjecture,
    ( epred45_0
    | c0_1(a726)
    | c3_1(a726)
    | hskp8
    | epred15_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_448,c_0_287]) ).

cnf(c_0_575,negated_conjecture,
    ( epred44_0
    | c3_1(a751)
    | c1_1(a751)
    | hskp14
    | epred8_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_433,c_0_449]) ).

cnf(c_0_576,negated_conjecture,
    ( epred8_0
    | epred61_0
    | c3_1(a744)
    | c2_1(a744)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_450,c_0_317]) ).

cnf(c_0_577,negated_conjecture,
    ( epred14_0
    | c0_1(a726)
    | c3_1(a726)
    | hskp6
    | epred4_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_289,c_0_250]) ).

cnf(c_0_578,negated_conjecture,
    ( c0_1(a725)
    | c1_1(a725)
    | hskp3
    | hskp4
    | epred4_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_451,c_0_222]) ).

cnf(c_0_579,negated_conjecture,
    ( epred33_0
    | c0_1(a725)
    | c1_1(a725)
    | hskp2
    | epred4_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_452,c_0_222]) ).

cnf(c_0_580,negated_conjecture,
    ( epred7_0
    | c0_1(a725)
    | c1_1(a725)
    | hskp28
    | epred4_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_357,c_0_222]) ).

cnf(c_0_581,negated_conjecture,
    ( c3_1(a725)
    | c2_1(a725)
    | hskp2
    | hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_163,c_0_453]) ).

cnf(c_0_582,negated_conjecture,
    ( epred58_0
    | c3_1(a754)
    | hskp0
    | hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_279,c_0_454]) ).

cnf(c_0_583,negated_conjecture,
    ( c0_1(a725)
    | c3_1(a725)
    | hskp0
    | hskp1
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_161,c_0_373]) ).

cnf(c_0_584,negated_conjecture,
    ( epred55_0
    | c3_1(a697)
    | hskp21
    | hskp22
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_455,c_0_456]) ).

cnf(c_0_585,negated_conjecture,
    ( c3_1(a730)
    | hskp21
    | hskp22
    | ~ c2_1(a730)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_374,c_0_178]) ).

cnf(c_0_586,negated_conjecture,
    ( c2_1(a696)
    | hskp16
    | hskp20
    | ~ c3_1(a696)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_457,c_0_424]) ).

cnf(c_0_587,negated_conjecture,
    ( c2_1(a717)
    | hskp18
    | hskp19
    | ~ c3_1(a717)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_458,c_0_295]) ).

cnf(c_0_588,negated_conjecture,
    ( c2_1(a696)
    | hskp18
    | hskp19
    | ~ c3_1(a696)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_458,c_0_424]) ).

cnf(c_0_589,negated_conjecture,
    ( c1_1(a777)
    | hskp7
    | hskp13
    | ~ c2_1(a777)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_459,c_0_156]) ).

cnf(c_0_590,negated_conjecture,
    ( c1_1(a738)
    | hskp7
    | hskp13
    | ~ c2_1(a738)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_459,c_0_460]) ).

cnf(c_0_591,negated_conjecture,
    ( c1_1(a722)
    | hskp7
    | hskp13
    | ~ c2_1(a722)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_459,c_0_151]) ).

cnf(c_0_592,negated_conjecture,
    ( epred48_0
    | c3_1(a730)
    | hskp20
    | ~ c2_1(a730)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_461,c_0_176]) ).

cnf(c_0_593,negated_conjecture,
    ( epred48_0
    | c3_1(a708)
    | hskp20
    | ~ c2_1(a708)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_461,c_0_209]) ).

cnf(c_0_594,negated_conjecture,
    ( hskp18
    | hskp27
    | ~ c0_1(a717)
    | ~ c3_1(a717)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_462,c_0_295]) ).

cnf(c_0_595,negated_conjecture,
    ( epred43_0
    | hskp23
    | hskp24
    | ~ c2_1(a697)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_463,c_0_353]) ).

cnf(c_0_596,negated_conjecture,
    ( hskp23
    | hskp24
    | ~ c0_1(a695)
    | ~ c2_1(a695)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_381,c_0_464]) ).

cnf(c_0_597,negated_conjecture,
    ( hskp23
    | hskp24
    | ~ c0_1(a691)
    | ~ c2_1(a691)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_381,c_0_465]) ).

cnf(c_0_598,negated_conjecture,
    ( hskp23
    | hskp24
    | ~ c0_1(a708)
    | ~ c2_1(a708)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_381,c_0_209]) ).

cnf(c_0_599,negated_conjecture,
    ( epred47_0
    | c2_1(a702)
    | hskp28
    | ~ c3_1(a702)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_432,c_0_188]) ).

cnf(c_0_600,negated_conjecture,
    ( epred46_0
    | c0_1(a760)
    | hskp5
    | ~ c2_1(a760)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_466,c_0_346]) ).

cnf(c_0_601,negated_conjecture,
    ( epred45_0
    | c0_1(a754)
    | c3_1(a754)
    | hskp8
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_448,c_0_244]) ).

cnf(c_0_602,negated_conjecture,
    ( epred44_0
    | c3_1(a693)
    | c1_1(a693)
    | hskp14
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_433,c_0_417]) ).

cnf(c_0_603,negated_conjecture,
    ( epred44_0
    | c3_1(a692)
    | c1_1(a692)
    | hskp14
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_433,c_0_159]) ).

cnf(c_0_604,negated_conjecture,
    ( epred44_0
    | c3_1(a725)
    | c1_1(a725)
    | hskp14
    | epred61_0
    | epred29_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_433,c_0_467]) ).

cnf(c_0_605,negated_conjecture,
    ( epred42_0
    | c3_1(a726)
    | hskp16
    | ~ c2_1(a726)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_468,c_0_181]) ).

cnf(c_0_606,negated_conjecture,
    ( epred42_0
    | c3_1(a708)
    | hskp16
    | ~ c2_1(a708)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_468,c_0_209]) ).

cnf(c_0_607,negated_conjecture,
    ( epred61_0
    | c3_1(a725)
    | c2_1(a725)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_163,c_0_317]) ).

cnf(c_0_608,negated_conjecture,
    ( epred40_0
    | c3_1(a764)
    | hskp17
    | ~ c0_1(a764)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_469,c_0_360]) ).

cnf(c_0_609,negated_conjecture,
    ( epred38_0
    | c0_1(a717)
    | c2_1(a717)
    | hskp28
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_470,c_0_298]) ).

cnf(c_0_610,negated_conjecture,
    ( epred36_0
    | c3_1(a764)
    | c2_1(a764)
    | hskp30
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_471,c_0_360]) ).

cnf(c_0_611,negated_conjecture,
    ( epred60_0
    | ~ hskp8
    | ~ c3_1(a710)
    | ~ c2_1(a710) ),
    inference(spm,[status(thm)],[c_0_359,c_0_472]) ).

cnf(c_0_612,negated_conjecture,
    ( epred60_0
    | ~ hskp0
    | ~ c3_1(a692)
    | ~ c2_1(a692) ),
    inference(spm,[status(thm)],[c_0_220,c_0_472]) ).

cnf(c_0_613,negated_conjecture,
    ( epred59_0
    | c3_1(a695)
    | ~ c0_1(a695)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_473,c_0_464]) ).

cnf(c_0_614,negated_conjecture,
    ( epred59_0
    | c3_1(a730)
    | ~ c0_1(a730)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_473,c_0_176]) ).

cnf(c_0_615,negated_conjecture,
    ( epred56_0
    | c0_1(a692)
    | ~ hskp0
    | ~ c2_1(a692) ),
    inference(spm,[status(thm)],[c_0_158,c_0_474]) ).

cnf(c_0_616,negated_conjecture,
    ( epred55_0
    | c3_1(a754)
    | ~ hskp20
    | ~ c2_1(a754) ),
    inference(spm,[status(thm)],[c_0_279,c_0_375]) ).

cnf(c_0_617,negated_conjecture,
    ( epred55_0
    | c3_1(a726)
    | ~ hskp13
    | ~ c2_1(a726) ),
    inference(spm,[status(thm)],[c_0_183,c_0_375]) ).

cnf(c_0_618,negated_conjecture,
    ( epred55_0
    | c3_1(a692)
    | ~ hskp0
    | ~ c2_1(a692) ),
    inference(spm,[status(thm)],[c_0_220,c_0_375]) ).

cnf(c_0_619,negated_conjecture,
    ( epred55_0
    | c3_1(a725)
    | ~ hskp12
    | ~ c2_1(a725) ),
    inference(spm,[status(thm)],[c_0_163,c_0_375]) ).

cnf(c_0_620,negated_conjecture,
    ( epred33_0
    | c0_1(a692)
    | c1_1(a692)
    | hskp2
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_452,c_0_159]) ).

cnf(c_0_621,negated_conjecture,
    ( epred30_0
    | c0_1(a733)
    | hskp10
    | ~ c3_1(a733)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_299,c_0_475]) ).

cnf(c_0_622,negated_conjecture,
    ( epred57_0
    | epred34_0
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_476]),c_0_238]),c_0_477]) ).

cnf(c_0_623,negated_conjecture,
    ( epred58_0
    | epred27_0
    | hskp12
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_478,c_0_439]) ).

cnf(c_0_624,negated_conjecture,
    ( epred27_0
    | c2_1(a730)
    | hskp12
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_176]),c_0_178]) ).

cnf(c_0_625,negated_conjecture,
    ( epred27_0
    | hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_424]),c_0_422]),c_0_423]) ).

cnf(c_0_626,negated_conjecture,
    ( epred58_0
    | epred54_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_479,c_0_344]) ).

cnf(c_0_627,negated_conjecture,
    ( epred54_0
    | epred15_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_479,c_0_480]) ).

cnf(c_0_628,negated_conjecture,
    ( epred52_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_300]),c_0_396]),c_0_301]) ).

cnf(c_0_629,negated_conjecture,
    ( epred52_0
    | c2_1(a760)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_346]),c_0_348]) ).

cnf(c_0_630,negated_conjecture,
    ( epred52_0
    | epred26_0
    | hskp28
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_481,c_0_482]) ).

cnf(c_0_631,negated_conjecture,
    ( epred26_0
    | epred9_0
    | hskp28
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_483,c_0_484]) ).

cnf(c_0_632,negated_conjecture,
    ( epred26_0
    | epred4_0
    | hskp28
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_481,c_0_250]) ).

cnf(c_0_633,negated_conjecture,
    ( epred26_0
    | hskp28
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_209]),c_0_210]),c_0_211]) ).

cnf(c_0_634,negated_conjecture,
    ( epred34_0
    | epred31_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_485,c_0_486]) ).

cnf(c_0_635,negated_conjecture,
    ( epred37_0
    | epred24_0
    | epred15_0
    | ~ epred32_0 ),
    inference(spm,[status(thm)],[c_0_487,c_0_488]) ).

cnf(c_0_636,negated_conjecture,
    ( epred21_0
    | hskp0
    | hskp7
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_489,c_0_208]) ).

cnf(c_0_637,negated_conjecture,
    ( epred37_0
    | epred23_0
    | epred14_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_491]),c_0_492]) ).

cnf(c_0_638,negated_conjecture,
    ( epred34_0
    | epred16_0
    | hskp5
    | hskp7
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_493,c_0_208]) ).

cnf(c_0_639,negated_conjecture,
    ( epred58_0
    | epred34_0
    | epred13_0
    | ~ epred54_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_494]) ).

cnf(c_0_640,negated_conjecture,
    ( epred37_0
    | epred23_0
    | epred9_0
    | hskp13
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_495,c_0_337]) ).

cnf(c_0_641,negated_conjecture,
    ( epred13_0
    | hskp13
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_367]),c_0_366]),c_0_496]) ).

cnf(c_0_642,negated_conjecture,
    ( epred34_0
    | epred13_0
    | hskp13
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_497,c_0_498]) ).

cnf(c_0_643,negated_conjecture,
    ( epred7_0
    | epred2_0
    | hskp28
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_499,c_0_500]) ).

cnf(c_0_644,negated_conjecture,
    ( epred7_0
    | hskp28
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_159]),c_0_158]),c_0_220]) ).

cnf(c_0_645,negated_conjecture,
    ( epred62_0
    | epred58_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_501,c_0_439]) ).

cnf(c_0_646,negated_conjecture,
    ( epred62_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_176]),c_0_178]),c_0_177]) ).

cnf(c_0_647,negated_conjecture,
    ( epred62_0
    | c3_1(a696)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_424]),c_0_422]) ).

cnf(c_0_648,negated_conjecture,
    ( epred58_0
    | epred37_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_307,c_0_502]) ).

cnf(c_0_649,negated_conjecture,
    ( epred58_0
    | epred37_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_307,c_0_403]) ).

cnf(c_0_650,negated_conjecture,
    ( epred57_0
    | epred15_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_212,c_0_287]) ).

cnf(c_0_651,negated_conjecture,
    ( epred53_0
    | c2_1(a725)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_503]),c_0_162]) ).

cnf(c_0_652,negated_conjecture,
    ( epred43_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_382]),c_0_413]),c_0_414]) ).

cnf(c_0_653,negated_conjecture,
    ( epred39_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_475]),c_0_505]),c_0_506]) ).

cnf(c_0_654,negated_conjecture,
    ( epred39_0
    | ~ c3_1(a695)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_464]),c_0_507]) ).

cnf(c_0_655,negated_conjecture,
    ( epred37_0
    | ~ c3_1(a695)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_508]),c_0_507]) ).

cnf(c_0_656,negated_conjecture,
    ( epred37_0
    | epred2_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_509,c_0_510]) ).

cnf(c_0_657,negated_conjecture,
    ( epred34_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_150]),c_0_512]),c_0_460]) ).

cnf(c_0_658,negated_conjecture,
    ( epred34_0
    | epred8_0
    | hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_195]),c_0_332]) ).

cnf(c_0_659,negated_conjecture,
    ( epred31_0
    | epred15_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_249,c_0_287]) ).

cnf(c_0_660,negated_conjecture,
    ( epred29_0
    | epred6_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_231,c_0_193]) ).

cnf(c_0_661,negated_conjecture,
    ( epred29_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_447]),c_0_514]),c_0_515]) ).

cnf(c_0_662,negated_conjecture,
    ( epred23_0
    | epred15_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_516,c_0_517]) ).

cnf(c_0_663,negated_conjecture,
    ( epred20_0
    | ~ c3_1(a692)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_518]),c_0_220]) ).

cnf(c_0_664,negated_conjecture,
    ( epred3_0
    | c0_1(a708)
    | hskp6
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_209]),c_0_211]) ).

cnf(c_0_665,negated_conjecture,
    ( epred18_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_424]),c_0_422]),c_0_423]) ).

cnf(c_0_666,negated_conjecture,
    ( epred15_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_360]),c_0_395]),c_0_361]) ).

cnf(c_0_667,negated_conjecture,
    ( epred10_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_160]),c_0_417]),c_0_416]) ).

cnf(c_0_668,negated_conjecture,
    ( epred4_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_197]),c_0_521]),c_0_522]) ).

cnf(c_0_669,negated_conjecture,
    ( epred32_0
    | c0_1(X1)
    | hskp4
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_400]),c_0_147])]) ).

cnf(c_0_670,negated_conjecture,
    ( epred29_0
    | epred4_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_523]),c_0_395]) ).

cnf(c_0_671,negated_conjecture,
    ( ~ epred62_0
    | ~ epred57_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_524,c_0_263]),c_0_154]),c_0_340]) ).

cnf(c_0_672,negated_conjecture,
    ( ~ epred62_0
    | ~ epred61_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_525,c_0_267]),c_0_340]),c_0_173]) ).

cnf(c_0_673,negated_conjecture,
    ( ~ epred60_0
    | ~ epred34_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_526,c_0_389]),c_0_224]),c_0_142]) ).

cnf(c_0_674,negated_conjecture,
    ( ~ epred59_0
    | ~ epred34_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_527,c_0_390]),c_0_144]),c_0_142]) ).

cnf(c_0_675,negated_conjecture,
    ( ~ epred58_0
    | ~ epred55_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_528,c_0_314]),c_0_230]),c_0_143]) ).

cnf(c_0_676,negated_conjecture,
    ( ~ epred55_0
    | ~ epred29_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_529,c_0_314]),c_0_148]),c_0_225]) ).

cnf(c_0_677,negated_conjecture,
    ( ~ epred53_0
    | ~ epred52_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_530,c_0_263]),c_0_172]),c_0_420]) ).

cnf(c_0_678,negated_conjecture,
    ( ~ epred48_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_531,c_0_379]),c_0_173]) ).

cnf(c_0_679,negated_conjecture,
    ( ~ epred47_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_532,c_0_349]),c_0_421]) ).

cnf(c_0_680,negated_conjecture,
    ( ~ epred46_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_533,c_0_383]),c_0_426]) ).

cnf(c_0_681,negated_conjecture,
    ( ~ epred45_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_534,c_0_365]),c_0_421]) ).

cnf(c_0_682,negated_conjecture,
    ( ~ epred44_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_535,c_0_350]),c_0_173]) ).

cnf(c_0_683,negated_conjecture,
    ( ~ epred43_0
    | ~ epred42_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_536,c_0_385]),c_0_316]) ).

cnf(c_0_684,negated_conjecture,
    ( ~ epred41_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_537,c_0_386]),c_0_310]) ).

cnf(c_0_685,negated_conjecture,
    ( ~ epred39_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_538,c_0_387]),c_0_421]) ).

cnf(c_0_686,negated_conjecture,
    ( ~ epred37_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_539,c_0_388]),c_0_173]) ).

cnf(c_0_687,negated_conjecture,
    ( ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_540,c_0_371]),c_0_142]) ).

cnf(c_0_688,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_541,c_0_262]),c_0_171]) ).

cnf(c_0_689,negated_conjecture,
    ( ~ epred27_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_542,c_0_260]),c_0_225]) ).

cnf(c_0_690,negated_conjecture,
    ( ~ epred26_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_543,c_0_324]),c_0_224]) ).

cnf(c_0_691,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_544,c_0_223]),c_0_311]) ).

cnf(c_0_692,negated_conjecture,
    ( ~ epred21_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_545,c_0_333]),c_0_224]) ).

cnf(c_0_693,negated_conjecture,
    ( ~ epred20_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_546,c_0_303]),c_0_425]) ).

cnf(c_0_694,negated_conjecture,
    ( ~ epred18_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_547,c_0_304]),c_0_426]) ).

cnf(c_0_695,negated_conjecture,
    ( ~ epred16_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_548,c_0_261]),c_0_225]) ).

cnf(c_0_696,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_549,c_0_255]),c_0_224]) ).

cnf(c_0_697,negated_conjecture,
    ( ~ epred13_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_550,c_0_229]),c_0_144]) ).

cnf(c_0_698,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_551,c_0_293]),c_0_145]) ).

cnf(c_0_699,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_552,c_0_309]),c_0_225]) ).

cnf(c_0_700,negated_conjecture,
    ( ~ c3_1(a744)
    | ~ hskp17 ),
    clause105 ).

cnf(c_0_701,negated_conjecture,
    ( c3_1(a710)
    | ~ hskp8 ),
    clause74 ).

cnf(c_0_702,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp21 ),
    clause37 ).

cnf(c_0_703,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_553,c_0_554,c_0_555,c_0_556,c_0_557,c_0_558,c_0_559,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_567,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_614,c_0_615,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_428,c_0_430,c_0_622,c_0_623,c_0_624,c_0_341,c_0_625,c_0_476,c_0_318,c_0_626,c_0_627,c_0_628,c_0_629,c_0_630,c_0_631,c_0_632,c_0_633,c_0_634,c_0_273,c_0_635,c_0_213,c_0_187,c_0_636,c_0_637,c_0_638,c_0_639,c_0_406,c_0_334,c_0_640,c_0_641,c_0_642,c_0_495,c_0_643,c_0_644,c_0_645,c_0_646,c_0_647,c_0_439,c_0_648,c_0_649,c_0_307,c_0_440,c_0_650,c_0_238,c_0_651,c_0_652,c_0_653,c_0_654,c_0_335,c_0_655,c_0_403,c_0_656,c_0_657,c_0_658,c_0_184,c_0_326,c_0_659,c_0_218,c_0_660,c_0_661,c_0_206,c_0_227,c_0_336,c_0_246,c_0_216,c_0_662,c_0_217,c_0_663,c_0_664,c_0_665,c_0_666,c_0_287,c_0_517,c_0_667,c_0_332,c_0_288,c_0_250,c_0_222,c_0_668,c_0_381,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,c_0_674,c_0_675,c_0_355,c_0_676,c_0_270,c_0_677,c_0_678,c_0_679,c_0_680,c_0_681,c_0_682,c_0_683,c_0_684,c_0_685,c_0_686,c_0_687,c_0_688,c_0_689,c_0_690,c_0_691,c_0_392,c_0_692,c_0_693,c_0_694,c_0_695,c_0_696,c_0_697,c_0_698,c_0_699,c_0_275,c_0_490,c_0_220,c_0_158,c_0_416,c_0_415,c_0_423,c_0_354,c_0_190,c_0_211,c_0_359,c_0_296,c_0_149,c_0_163,c_0_162,c_0_161,c_0_183,c_0_182,c_0_177,c_0_511,c_0_700,c_0_369,c_0_496,c_0_366,c_0_515,c_0_514,c_0_279,c_0_242,c_0_348,c_0_167,c_0_202,c_0_361,c_0_395,c_0_155,c_0_353,c_0_178,c_0_199,c_0_508,c_0_189,c_0_701,c_0_298,c_0_506,c_0_159,c_0_456,c_0_210,c_0_358,c_0_512,c_0_244,c_0_507,c_0_505,c_0_475,c_0_241,c_0_195,c_0_702,c_0_208,c_0_139]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN472-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.09  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n023.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 2400
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Oct  2 18:21:37 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.14/0.40  Running first-order model finding
% 0.14/0.40  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.PvFkO8ezlq/E---3.1_8782.p
% 12.64/2.05  # Version: 3.1pre001
% 12.64/2.05  # Preprocessing class: FSLSSLSMSSSNFFN.
% 12.64/2.05  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.64/2.05  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.64/2.05  # Starting new_bool_3 with 300s (1) cores
% 12.64/2.05  # Starting new_bool_1 with 300s (1) cores
% 12.64/2.05  # Starting sh5l with 300s (1) cores
% 12.64/2.05  # sh5l with pid 8862 completed with status 0
% 12.64/2.05  # Result found by sh5l
% 12.64/2.05  # Preprocessing class: FSLSSLSMSSSNFFN.
% 12.64/2.05  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.64/2.05  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.64/2.05  # Starting new_bool_3 with 300s (1) cores
% 12.64/2.05  # Starting new_bool_1 with 300s (1) cores
% 12.64/2.05  # Starting sh5l with 300s (1) cores
% 12.64/2.05  # SinE strategy is gf500_gu_R04_F100_L20000
% 12.64/2.05  # Search class: FGHNF-FSMM00-SFFFFFNN
% 12.64/2.05  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 12.64/2.05  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 12.64/2.05  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 8869 completed with status 0
% 12.64/2.05  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 12.64/2.05  # Preprocessing class: FSLSSLSMSSSNFFN.
% 12.64/2.05  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.64/2.05  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.64/2.05  # Starting new_bool_3 with 300s (1) cores
% 12.64/2.05  # Starting new_bool_1 with 300s (1) cores
% 12.64/2.05  # Starting sh5l with 300s (1) cores
% 12.64/2.05  # SinE strategy is gf500_gu_R04_F100_L20000
% 12.64/2.05  # Search class: FGHNF-FSMM00-SFFFFFNN
% 12.64/2.05  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 12.64/2.05  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 12.64/2.05  # Preprocessing time       : 0.002 s
% 12.64/2.05  # SatCheck found unsatisfiable ground set
% 12.64/2.05  
% 12.64/2.05  # Proof found!
% 12.64/2.05  # SZS status Unsatisfiable
% 12.64/2.05  # SZS output start CNFRefutation
% See solution above
% 12.64/2.05  # Parsed axioms                        : 196
% 12.64/2.05  # Removed by relevancy pruning/SinE    : 0
% 12.64/2.05  # Initial clauses                      : 196
% 12.64/2.05  # Removed in clause preprocessing      : 0
% 12.64/2.05  # Initial clauses in saturation        : 196
% 12.64/2.05  # Processed clauses                    : 7901
% 12.64/2.05  # ...of these trivial                  : 0
% 12.64/2.05  # ...subsumed                          : 2901
% 12.64/2.05  # ...remaining for further processing  : 5000
% 12.64/2.05  # Other redundant clauses eliminated   : 0
% 12.64/2.05  # Clauses deleted for lack of memory   : 0
% 12.64/2.05  # Backward-subsumed                    : 1327
% 12.64/2.05  # Backward-rewritten                   : 54
% 12.64/2.05  # Generated clauses                    : 60863
% 12.64/2.05  # ...of the previous two non-redundant : 57250
% 12.64/2.05  # ...aggressively subsumed             : 0
% 12.64/2.05  # Contextual simplify-reflections      : 577
% 12.64/2.05  # Paramodulations                      : 60760
% 12.64/2.05  # Factorizations                       : 0
% 12.64/2.05  # NegExts                              : 0
% 12.64/2.05  # Equation resolutions                 : 0
% 12.64/2.05  # Total rewrite steps                  : 93
% 12.64/2.05  # Propositional unsat checks           : 1
% 12.64/2.05  #    Propositional check models        : 0
% 12.64/2.05  #    Propositional check unsatisfiable : 1
% 12.64/2.05  #    Propositional clauses             : 52438
% 12.64/2.05  #    Propositional clauses after purity: 51468
% 12.64/2.05  #    Propositional unsat core size     : 239
% 12.64/2.05  #    Propositional preprocessing time  : 0.000
% 12.64/2.05  #    Propositional encoding time       : 0.024
% 12.64/2.05  #    Propositional solver time         : 0.066
% 12.64/2.05  #    Success case prop preproc time    : 0.000
% 12.64/2.05  #    Success case prop encoding time   : 0.024
% 12.64/2.05  #    Success case prop solver time     : 0.066
% 12.64/2.05  # Current number of processed clauses  : 3578
% 12.64/2.05  #    Positive orientable unit clauses  : 1
% 12.64/2.05  #    Positive unorientable unit clauses: 0
% 12.64/2.05  #    Negative unit clauses             : 0
% 12.64/2.05  #    Non-unit-clauses                  : 3577
% 12.64/2.05  # Current number of unprocessed clauses: 48860
% 12.64/2.05  # ...number of literals in the above   : 336146
% 12.64/2.05  # Current number of archived formulas  : 0
% 12.64/2.05  # Current number of archived clauses   : 1381
% 12.64/2.05  # Clause-clause subsumption calls (NU) : 5628871
% 12.64/2.05  # Rec. Clause-clause subsumption calls : 300885
% 12.64/2.05  # Non-unit clause-clause subsumptions  : 4863
% 12.64/2.05  # Unit Clause-clause subsumption calls : 15
% 12.64/2.05  # Rewrite failures with RHS unbound    : 0
% 12.64/2.05  # BW rewrite match attempts            : 1
% 12.64/2.05  # BW rewrite match successes           : 1
% 12.64/2.05  # Condensation attempts                : 7901
% 12.64/2.05  # Condensation successes               : 0
% 12.64/2.05  # Termbank termtop insertions          : 581644
% 12.64/2.05  
% 12.64/2.05  # -------------------------------------------------
% 12.64/2.05  # User time                : 1.574 s
% 12.64/2.05  # System time              : 0.034 s
% 12.64/2.05  # Total time               : 1.607 s
% 12.64/2.05  # Maximum resident set size: 2324 pages
% 12.64/2.05  
% 12.64/2.05  # -------------------------------------------------
% 12.64/2.05  # User time                : 1.578 s
% 12.64/2.05  # System time              : 0.035 s
% 12.64/2.05  # Total time               : 1.613 s
% 12.64/2.05  # Maximum resident set size: 1868 pages
% 12.64/2.05  % E---3.1 exiting
%------------------------------------------------------------------------------