TSTP Solution File: SYN452-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN452-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 20:16:21 EDT 2023

% Result   : Unsatisfiable 9.88s 1.78s
% Output   : CNFRefutation 9.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  173
% Syntax   : Number of formulae    :  632 (   2 unt;   0 def)
%            Number of atoms       : 2497 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2944 (1079   ~;1822   |;   0   &)
%                                         (  43 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   77 (  76 usr;  73 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  254 (   0 sgn;  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause7,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause7) ).

cnf(clause1,negated_conjecture,
    ( hskp14
    | hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause1) ).

cnf(clause17,negated_conjecture,
    ( ndr1_0
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause17) ).

cnf(clause115,negated_conjecture,
    ( ~ c2_1(a830)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause115) ).

cnf(clause116,negated_conjecture,
    ( ~ c3_1(a830)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause116) ).

cnf(clause63,negated_conjecture,
    ( c0_1(a842)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause63) ).

cnf(clause64,negated_conjecture,
    ( c1_1(a842)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause64) ).

cnf(clause107,negated_conjecture,
    ( ~ c2_1(a842)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause107) ).

cnf(clause88,negated_conjecture,
    ( ~ c3_1(a878)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause88) ).

cnf(clause53,negated_conjecture,
    ( c1_1(a878)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause53) ).

cnf(clause114,negated_conjecture,
    ( ~ c0_1(a830)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause114) ).

cnf(clause128,negated_conjecture,
    ( ~ c3_1(a815)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause128) ).

cnf(clause85,negated_conjecture,
    ( c1_1(a815)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause85) ).

cnf(clause74,negated_conjecture,
    ( c0_1(a828)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause74) ).

cnf(clause118,negated_conjecture,
    ( ~ c2_1(a828)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause118) ).

cnf(clause69,negated_conjecture,
    ( c2_1(a835)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause69) ).

cnf(clause110,negated_conjecture,
    ( ~ c0_1(a835)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause110) ).

cnf(clause70,negated_conjecture,
    ( c3_1(a835)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause70) ).

cnf(clause40,negated_conjecture,
    ( c2_1(a865)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause40) ).

cnf(clause39,negated_conjecture,
    ( c1_1(a865)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause39) ).

cnf(clause41,negated_conjecture,
    ( c3_1(a865)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause41) ).

cnf(clause171,negated_conjecture,
    ( c2_1(X2)
    | hskp29
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause171) ).

cnf(clause67,negated_conjecture,
    ( c0_1(a838)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause67) ).

cnf(clause109,negated_conjecture,
    ( ~ c3_1(a838)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause109) ).

cnf(clause68,negated_conjecture,
    ( c2_1(a838)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause68) ).

cnf(clause112,negated_conjecture,
    ( ~ c0_1(a831)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause112) ).

cnf(clause73,negated_conjecture,
    ( c3_1(a831)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause73) ).

cnf(clause113,negated_conjecture,
    ( ~ c1_1(a831)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause113) ).

cnf(clause125,negated_conjecture,
    ( ~ c0_1(a817)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause125) ).

cnf(clause81,negated_conjecture,
    ( c2_1(a817)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause81) ).

cnf(clause126,negated_conjecture,
    ( ~ c3_1(a817)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause126) ).

cnf(clause82,negated_conjecture,
    ( c0_1(a816)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause82) ).

cnf(clause83,negated_conjecture,
    ( c3_1(a816)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause83) ).

cnf(clause127,negated_conjecture,
    ( ~ c2_1(a816)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause127) ).

cnf(clause148,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause148) ).

cnf(clause143,negated_conjecture,
    ( c1_1(X1)
    | hskp14
    | hskp22
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause143) ).

cnf(clause145,negated_conjecture,
    ( c3_1(X1)
    | hskp14
    | hskp7
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause145) ).

cnf(clause57,negated_conjecture,
    ( c3_1(a856)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause57) ).

cnf(clause95,negated_conjecture,
    ( ~ c1_1(a856)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause95) ).

cnf(clause96,negated_conjecture,
    ( ~ c2_1(a856)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause96) ).

cnf(clause149,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause149) ).

cnf(clause78,negated_conjecture,
    ( c3_1(a825)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause78) ).

cnf(clause77,negated_conjecture,
    ( c1_1(a825)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause77) ).

cnf(clause120,negated_conjecture,
    ( ~ c0_1(a825)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause120) ).

cnf(clause37,negated_conjecture,
    ( hskp7
    | hskp5
    | hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause37) ).

cnf(clause52,negated_conjecture,
    ( c2_1(a892)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause52) ).

cnf(clause51,negated_conjecture,
    ( c1_1(a892)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause51) ).

cnf(clause86,negated_conjecture,
    ( ~ c3_1(a892)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause86) ).

cnf(clause87,negated_conjecture,
    ( ~ c0_1(a878)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause87) ).

cnf(clause58,negated_conjecture,
    ( c1_1(a854)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause58) ).

cnf(clause101,negated_conjecture,
    ( ~ c2_1(a854)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause101) ).

cnf(clause100,negated_conjecture,
    ( ~ c0_1(a854)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause100) ).

cnf(clause117,negated_conjecture,
    ( ~ c1_1(a828)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause117) ).

cnf(clause42,negated_conjecture,
    ( c0_1(a833)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause42) ).

cnf(clause44,negated_conjecture,
    ( c3_1(a833)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause44) ).

cnf(clause55,negated_conjecture,
    ( c3_1(a862)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause55) ).

cnf(clause89,negated_conjecture,
    ( ~ c1_1(a862)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause89) ).

cnf(clause66,negated_conjecture,
    ( c3_1(a839)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause66) ).

cnf(clause65,negated_conjecture,
    ( c1_1(a839)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause65) ).

cnf(clause33,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause33) ).

cnf(clause54,negated_conjecture,
    ( c0_1(a862)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause54) ).

cnf(clause146,negated_conjecture,
    ( c3_1(X1)
    | hskp14
    | hskp15
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause146) ).

cnf(clause119,negated_conjecture,
    ( ~ c0_1(a827)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause119) ).

cnf(clause76,negated_conjecture,
    ( c2_1(a827)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause76) ).

cnf(clause108,negated_conjecture,
    ( ~ c2_1(a839)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause108) ).

cnf(clause80,negated_conjecture,
    ( c0_1(a820)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause80) ).

cnf(clause123,negated_conjecture,
    ( ~ c1_1(a820)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause123) ).

cnf(clause124,negated_conjecture,
    ( ~ c3_1(a820)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause124) ).

cnf(clause139,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp1
    | hskp22
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause139) ).

cnf(clause92,negated_conjecture,
    ( ~ c2_1(a860)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause92) ).

cnf(clause91,negated_conjecture,
    ( ~ c1_1(a860)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause91) ).

cnf(clause121,negated_conjecture,
    ( ~ c0_1(a821)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause121) ).

cnf(clause122,negated_conjecture,
    ( ~ c1_1(a821)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause122) ).

cnf(clause130,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp26
    | hskp0
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause130) ).

cnf(clause132,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp4
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause132) ).

cnf(clause137,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp17
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause137) ).

cnf(clause136,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp13
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause136) ).

cnf(clause140,negated_conjecture,
    ( c0_1(X1)
    | hskp14
    | hskp13
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause140) ).

cnf(clause144,negated_conjecture,
    ( c2_1(X1)
    | hskp29
    | hskp19
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause144) ).

cnf(clause142,negated_conjecture,
    ( c1_1(X1)
    | hskp21
    | hskp13
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause142) ).

cnf(clause147,negated_conjecture,
    ( c3_1(X1)
    | hskp1
    | hskp2
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause147) ).

cnf(clause43,negated_conjecture,
    ( c1_1(a833)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause43) ).

cnf(clause32,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause32) ).

cnf(clause172,negated_conjecture,
    ( hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause172) ).

cnf(clause48,negated_conjecture,
    ( c0_1(a818)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause48) ).

cnf(clause49,negated_conjecture,
    ( c1_1(a818)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause49) ).

cnf(clause36,negated_conjecture,
    ( hskp23
    | hskp25
    | hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause36) ).

cnf(clause56,negated_conjecture,
    ( c0_1(a857)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause56) ).

cnf(clause93,negated_conjecture,
    ( ~ c2_1(a857)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause93) ).

cnf(clause94,negated_conjecture,
    ( ~ c3_1(a857)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause94) ).

cnf(clause97,negated_conjecture,
    ( ~ c0_1(a855)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause97) ).

cnf(clause98,negated_conjecture,
    ( ~ c1_1(a855)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause98) ).

cnf(clause99,negated_conjecture,
    ( ~ c3_1(a855)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause99) ).

cnf(clause34,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause34) ).

cnf(clause84,negated_conjecture,
    ( c0_1(a815)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause84) ).

cnf(clause90,negated_conjecture,
    ( ~ c0_1(a860)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause90) ).

cnf(clause62,negated_conjecture,
    ( c2_1(a844)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause62) ).

cnf(clause50,negated_conjecture,
    ( c2_1(a818)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause50) ).

cnf(clause79,negated_conjecture,
    ( c2_1(a821)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause79) ).

cnf(clause45,negated_conjecture,
    ( c0_1(a826)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause45) ).

cnf(clause75,negated_conjecture,
    ( c1_1(a827)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause75) ).

cnf(clause59,negated_conjecture,
    ( c1_1(a852)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause59) ).

cnf(clause102,negated_conjecture,
    ( ~ c2_1(a852)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause102) ).

cnf(clause103,negated_conjecture,
    ( ~ c3_1(a852)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause103) ).

cnf(clause176,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause176) ).

cnf(clause179,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause179) ).

cnf(clause178,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause178) ).

cnf(clause174,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause174) ).

cnf(clause173,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | c0_1(X2)
    | c3_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause173) ).

cnf(clause167,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause167) ).

cnf(clause166,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause166) ).

cnf(clause168,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp19
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause168) ).

cnf(clause169,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause169) ).

cnf(clause159,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp3
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause159) ).

cnf(clause162,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause162) ).

cnf(clause160,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause160) ).

cnf(clause164,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause164) ).

cnf(clause165,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp23
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause165) ).

cnf(clause161,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause161) ).

cnf(clause154,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause154) ).

cnf(clause155,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp2
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause155) ).

cnf(clause156,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp8
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause156) ).

cnf(clause151,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause151) ).

cnf(clause152,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp4
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause152) ).

cnf(clause153,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause153) ).

cnf(clause150,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause150) ).

cnf(clause106,negated_conjecture,
    ( ~ c3_1(a844)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause106) ).

cnf(clause105,negated_conjecture,
    ( ~ c1_1(a844)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause105) ).

cnf(clause47,negated_conjecture,
    ( c3_1(a826)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause47) ).

cnf(clause46,negated_conjecture,
    ( c2_1(a826)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p',clause46) ).

cnf(c_0_130,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    clause7 ).

cnf(c_0_131,negated_conjecture,
    ( hskp14
    | hskp24 ),
    clause1 ).

cnf(c_0_132,negated_conjecture,
    ( ndr1_0
    | ~ hskp14 ),
    clause17 ).

fof(c_0_133,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_134,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_135,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_136,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( hskp8
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_137,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).

fof(c_0_138,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_139,negated_conjecture,
    ( epred43_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_133]) ).

cnf(c_0_140,negated_conjecture,
    ( epred52_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_134]) ).

fof(c_0_141,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( hskp0
        | c1_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_142,negated_conjecture,
    ( ~ c2_1(a830)
    | ~ hskp8 ),
    clause115 ).

cnf(c_0_143,negated_conjecture,
    ( ~ c3_1(a830)
    | ~ hskp8 ),
    clause116 ).

cnf(c_0_144,negated_conjecture,
    ( epred4_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_135]) ).

cnf(c_0_145,negated_conjecture,
    ( epred40_0
    | hskp8
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_136]),c_0_137])]) ).

cnf(c_0_146,negated_conjecture,
    ( c0_1(a842)
    | ~ hskp14 ),
    clause63 ).

cnf(c_0_147,negated_conjecture,
    ( c1_1(a842)
    | ~ hskp14 ),
    clause64 ).

cnf(c_0_148,negated_conjecture,
    ( ~ c2_1(a842)
    | ~ hskp14 ),
    clause107 ).

fof(c_0_149,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( hskp29
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_150,negated_conjecture,
    ( epred35_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_138]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ c3_1(a878)
    | ~ hskp24 ),
    clause88 ).

cnf(c_0_152,negated_conjecture,
    ( epred52_0
    | epred43_0
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_153,negated_conjecture,
    ( c1_1(a878)
    | ~ hskp24 ),
    clause53 ).

fof(c_0_154,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_155,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_156,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( hskp3
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_157,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_158,negated_conjecture,
    ( ~ c0_1(a830)
    | ~ hskp8 ),
    clause114 ).

cnf(c_0_159,negated_conjecture,
    ( epred3_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_141]),c_0_137])]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ c3_1(a815)
    | ~ hskp0 ),
    clause128 ).

cnf(c_0_161,negated_conjecture,
    ( c1_1(a815)
    | ~ hskp0 ),
    clause85 ).

cnf(c_0_162,negated_conjecture,
    ( epred52_0
    | ~ c1_1(a830)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_140]),c_0_143]) ).

cnf(c_0_163,negated_conjecture,
    ( epred4_0
    | c1_1(a830)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_144]),c_0_143]) ).

cnf(c_0_164,negated_conjecture,
    ( epred40_0
    | hskp8
    | ~ c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]) ).

cnf(c_0_165,negated_conjecture,
    ( epred52_0
    | c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_140]),c_0_147]) ).

fof(c_0_166,plain,
    ( ~ epred41_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_167,negated_conjecture,
    ( epred39_0
    | c2_1(X1)
    | hskp29
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_149]),c_0_137])]) ).

cnf(c_0_168,negated_conjecture,
    ( epred35_0
    | ~ c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_146]),c_0_147]) ).

cnf(c_0_169,negated_conjecture,
    ( epred52_0
    | epred43_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).

cnf(c_0_170,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_154]) ).

cnf(c_0_171,negated_conjecture,
    ( c0_1(a828)
    | ~ hskp7 ),
    clause74 ).

cnf(c_0_172,negated_conjecture,
    ( ~ c2_1(a828)
    | ~ hskp7 ),
    clause118 ).

cnf(c_0_173,negated_conjecture,
    ( epred6_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_155]) ).

fof(c_0_174,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_175,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_176,negated_conjecture,
    ( epred28_0
    | c0_1(X1)
    | hskp3
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_156]),c_0_137])]) ).

cnf(c_0_177,negated_conjecture,
    ( c2_1(a835)
    | ~ hskp11 ),
    clause69 ).

cnf(c_0_178,negated_conjecture,
    ( ~ c0_1(a835)
    | ~ hskp11 ),
    clause110 ).

cnf(c_0_179,negated_conjecture,
    ( epred1_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_157]),c_0_137])]) ).

cnf(c_0_180,negated_conjecture,
    ( c3_1(a835)
    | ~ hskp11 ),
    clause70 ).

fof(c_0_181,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_182,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_183,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( hskp2
        | c1_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_184,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_185,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_186,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( hskp3
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_187,negated_conjecture,
    ( epred52_0
    | epred43_0
    | ~ c1_1(a830)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_143,c_0_152]) ).

cnf(c_0_188,negated_conjecture,
    ( epred3_0
    | c1_1(a830)
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_142]) ).

cnf(c_0_189,negated_conjecture,
    ( epred52_0
    | epred43_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_152]),c_0_161]) ).

cnf(c_0_190,negated_conjecture,
    ( epred52_0
    | epred4_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_191,negated_conjecture,
    ( epred52_0
    | epred40_0
    | hskp8
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_192,negated_conjecture,
    ( epred41_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_166]) ).

cnf(c_0_193,negated_conjecture,
    ( c2_1(a865)
    | ~ hskp29 ),
    clause40 ).

cnf(c_0_194,negated_conjecture,
    ( c1_1(a865)
    | ~ hskp29 ),
    clause39 ).

cnf(c_0_195,negated_conjecture,
    ( c3_1(a865)
    | ~ hskp29 ),
    clause41 ).

cnf(c_0_196,negated_conjecture,
    ( epred39_0
    | hskp29
    | ~ c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_146]),c_0_148]) ).

cnf(c_0_197,negated_conjecture,
    ( c2_1(X2)
    | hskp29
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    clause171 ).

cnf(c_0_198,negated_conjecture,
    ( epred52_0
    | epred35_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_168,c_0_165]) ).

cnf(c_0_199,negated_conjecture,
    ( epred52_0
    | epred43_0
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_169,c_0_131]) ).

fof(c_0_200,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( hskp9
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_201,negated_conjecture,
    ( epred23_0
    | ~ c3_1(a828)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).

cnf(c_0_202,negated_conjecture,
    ( epred6_0
    | c3_1(a828)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_171]),c_0_172]) ).

fof(c_0_203,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( hskp9
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_204,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( hskp23
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_205,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_206,negated_conjecture,
    ( epred37_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_174]) ).

cnf(c_0_207,negated_conjecture,
    ( c0_1(a838)
    | ~ hskp12 ),
    clause67 ).

cnf(c_0_208,negated_conjecture,
    ( ~ c3_1(a838)
    | ~ hskp12 ),
    clause109 ).

cnf(c_0_209,negated_conjecture,
    ( epred33_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_175]) ).

cnf(c_0_210,negated_conjecture,
    ( c2_1(a838)
    | ~ hskp12 ),
    clause68 ).

cnf(c_0_211,negated_conjecture,
    ( epred28_0
    | hskp3
    | ~ c1_1(a835)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).

cnf(c_0_212,negated_conjecture,
    ( epred1_0
    | c1_1(a835)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]) ).

fof(c_0_213,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( hskp9
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_214,negated_conjecture,
    ( ~ c0_1(a831)
    | ~ hskp9 ),
    clause112 ).

cnf(c_0_215,negated_conjecture,
    ( c3_1(a831)
    | ~ hskp9 ),
    clause73 ).

cnf(c_0_216,negated_conjecture,
    ( ~ c1_1(a831)
    | ~ hskp9 ),
    clause113 ).

fof(c_0_217,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( hskp2
        | c1_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_218,negated_conjecture,
    ( ~ c0_1(a817)
    | ~ hskp2 ),
    clause125 ).

cnf(c_0_219,negated_conjecture,
    ( epred42_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_181]),c_0_137])]) ).

cnf(c_0_220,negated_conjecture,
    ( c2_1(a817)
    | ~ hskp2 ),
    clause81 ).

cnf(c_0_221,negated_conjecture,
    ( ~ c3_1(a817)
    | ~ hskp2 ),
    clause126 ).

cnf(c_0_222,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_182]) ).

cnf(c_0_223,negated_conjecture,
    ( epred16_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_183]),c_0_137])]) ).

fof(c_0_224,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( hskp8
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_225,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( hskp1
        | c1_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_226,negated_conjecture,
    ( c0_1(a816)
    | ~ hskp1 ),
    clause82 ).

cnf(c_0_227,negated_conjecture,
    ( c3_1(a816)
    | ~ hskp1 ),
    clause83 ).

cnf(c_0_228,negated_conjecture,
    ( ~ c2_1(a816)
    | ~ hskp1 ),
    clause127 ).

cnf(c_0_229,negated_conjecture,
    ( epred8_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_184]) ).

fof(c_0_230,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp4
        | c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_231,negated_conjecture,
    ( epred2_0
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_185]) ).

cnf(c_0_232,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause148 ).

fof(c_0_233,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( c0_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_234,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_235,negated_conjecture,
    ( c1_1(X1)
    | hskp14
    | hskp22
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause143 ).

cnf(c_0_236,negated_conjecture,
    ( c3_1(X1)
    | hskp14
    | hskp7
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause145 ).

fof(c_0_237,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( hskp19
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_238,plain,
    ( ~ epred53_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c0_1(X3)
        | ~ ndr1_0
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_239,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( hskp20
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_240,negated_conjecture,
    ( epred38_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp3
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_186]),c_0_137])]) ).

cnf(c_0_241,negated_conjecture,
    ( c3_1(a856)
    | ~ hskp20 ),
    clause57 ).

cnf(c_0_242,negated_conjecture,
    ( ~ c1_1(a856)
    | ~ hskp20 ),
    clause95 ).

cnf(c_0_243,negated_conjecture,
    ( ~ c2_1(a856)
    | ~ hskp20 ),
    clause96 ).

cnf(c_0_244,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ ndr1_0 ),
    clause149 ).

cnf(c_0_245,negated_conjecture,
    ( epred52_0
    | epred43_0
    | epred3_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).

cnf(c_0_246,negated_conjecture,
    ( epred52_0
    | epred40_0
    | epred4_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_247,negated_conjecture,
    ( epred41_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]),c_0_195]) ).

cnf(c_0_248,negated_conjecture,
    ( epred52_0
    | epred39_0
    | hskp29
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_196,c_0_165]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ epred39_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_197,c_0_149]),c_0_138]) ).

cnf(c_0_250,negated_conjecture,
    ( epred52_0
    | epred43_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_251,negated_conjecture,
    ( epred36_0
    | c0_1(X1)
    | hskp9
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_200]),c_0_137])]) ).

cnf(c_0_252,negated_conjecture,
    ( c3_1(a825)
    | ~ hskp5 ),
    clause78 ).

cnf(c_0_253,negated_conjecture,
    ( c1_1(a825)
    | ~ hskp5 ),
    clause77 ).

cnf(c_0_254,negated_conjecture,
    ( ~ c0_1(a825)
    | ~ hskp5 ),
    clause120 ).

cnf(c_0_255,negated_conjecture,
    ( epred23_0
    | epred6_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_256,negated_conjecture,
    ( hskp7
    | hskp5
    | hskp13 ),
    clause37 ).

cnf(c_0_257,negated_conjecture,
    ( c2_1(a892)
    | ~ hskp25 ),
    clause52 ).

cnf(c_0_258,negated_conjecture,
    ( c1_1(a892)
    | ~ hskp25 ),
    clause51 ).

cnf(c_0_259,negated_conjecture,
    ( ~ c3_1(a892)
    | ~ hskp25 ),
    clause86 ).

cnf(c_0_260,negated_conjecture,
    ( ~ c0_1(a878)
    | ~ hskp24 ),
    clause87 ).

cnf(c_0_261,negated_conjecture,
    ( epred26_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp9
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_203]),c_0_137])]) ).

fof(c_0_262,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_263,negated_conjecture,
    ( c1_1(a854)
    | ~ hskp18 ),
    clause58 ).

cnf(c_0_264,negated_conjecture,
    ( ~ c2_1(a854)
    | ~ hskp18 ),
    clause101 ).

cnf(c_0_265,negated_conjecture,
    ( ~ c0_1(a854)
    | ~ hskp18 ),
    clause100 ).

cnf(c_0_266,negated_conjecture,
    ( epred22_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp23
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_204]),c_0_137])]) ).

fof(c_0_267,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_268,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( hskp26
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_269,negated_conjecture,
    ( epred41_0
    | ~ c1_1(a835)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_177]),c_0_180]) ).

fof(c_0_270,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( hskp5
        | c2_1(X2)
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_271,negated_conjecture,
    ( epred15_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_205]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ c1_1(a828)
    | ~ hskp7 ),
    clause117 ).

fof(c_0_273,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_274,negated_conjecture,
    ( c0_1(a833)
    | ~ hskp28 ),
    clause42 ).

cnf(c_0_275,negated_conjecture,
    ( c3_1(a833)
    | ~ hskp28 ),
    clause44 ).

cnf(c_0_276,negated_conjecture,
    ( c3_1(a862)
    | ~ hskp23 ),
    clause55 ).

cnf(c_0_277,negated_conjecture,
    ( ~ c1_1(a862)
    | ~ hskp23 ),
    clause89 ).

cnf(c_0_278,negated_conjecture,
    ( c3_1(a839)
    | ~ hskp13 ),
    clause66 ).

cnf(c_0_279,negated_conjecture,
    ( c1_1(a839)
    | ~ hskp13 ),
    clause65 ).

cnf(c_0_280,negated_conjecture,
    ( epred37_0
    | ~ c1_1(a838)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]) ).

cnf(c_0_281,negated_conjecture,
    ( epred33_0
    | c1_1(a838)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_207]),c_0_210]) ).

cnf(c_0_282,negated_conjecture,
    ( epred28_0
    | epred1_0
    | hskp3
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_283,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11 ),
    clause33 ).

cnf(c_0_284,negated_conjecture,
    ( epred25_0
    | c2_1(X1)
    | hskp9
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_213]),c_0_137])]) ).

cnf(c_0_285,negated_conjecture,
    ( epred1_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_179]),c_0_215]),c_0_216]) ).

cnf(c_0_286,negated_conjecture,
    ( c0_1(a862)
    | ~ hskp23 ),
    clause54 ).

cnf(c_0_287,negated_conjecture,
    ( c3_1(X1)
    | hskp14
    | hskp15
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause146 ).

cnf(c_0_288,negated_conjecture,
    ( epred14_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp2
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_217]),c_0_137])]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ c0_1(a827)
    | ~ hskp6 ),
    clause119 ).

cnf(c_0_290,negated_conjecture,
    ( c2_1(a827)
    | ~ hskp6 ),
    clause76 ).

cnf(c_0_291,negated_conjecture,
    ( epred42_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221]) ).

cnf(c_0_292,negated_conjecture,
    ( epred16_0
    | epred10_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_293,negated_conjecture,
    ( epred11_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp8
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_224]),c_0_137])]) ).

cnf(c_0_294,negated_conjecture,
    ( epred9_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_225]),c_0_137])]) ).

cnf(c_0_295,negated_conjecture,
    ( epred23_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_226]),c_0_227]),c_0_228]) ).

cnf(c_0_296,negated_conjecture,
    ( epred37_0
    | epred8_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_206,c_0_229]) ).

cnf(c_0_297,negated_conjecture,
    ( epred7_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp4
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_230]),c_0_137])]) ).

cnf(c_0_298,negated_conjecture,
    ( ~ c2_1(a839)
    | ~ hskp13 ),
    clause108 ).

cnf(c_0_299,negated_conjecture,
    ( epred33_0
    | epred2_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_209,c_0_231]) ).

cnf(c_0_300,negated_conjecture,
    ( epred10_0
    | epred2_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_222,c_0_231]) ).

cnf(c_0_301,negated_conjecture,
    ( hskp3
    | hskp23
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_137])]) ).

cnf(c_0_302,negated_conjecture,
    ( epred51_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_233]),c_0_137])]) ).

cnf(c_0_303,negated_conjecture,
    ( c0_1(a820)
    | ~ hskp3 ),
    clause80 ).

cnf(c_0_304,negated_conjecture,
    ( ~ c1_1(a820)
    | ~ hskp3 ),
    clause123 ).

fof(c_0_305,plain,
    ( ~ epred44_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c2_1(X3)
        | c3_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_306,negated_conjecture,
    ( epred17_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_234]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ c3_1(a820)
    | ~ hskp3 ),
    clause124 ).

cnf(c_0_308,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp1
    | hskp22
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause139 ).

cnf(c_0_309,negated_conjecture,
    ( ~ c2_1(a860)
    | ~ hskp22 ),
    clause92 ).

cnf(c_0_310,negated_conjecture,
    ( ~ c1_1(a860)
    | ~ hskp22 ),
    clause91 ).

cnf(c_0_311,negated_conjecture,
    ( ~ c0_1(a821)
    | ~ hskp4 ),
    clause121 ).

cnf(c_0_312,negated_conjecture,
    ( ~ c1_1(a821)
    | ~ hskp4 ),
    clause122 ).

cnf(c_0_313,negated_conjecture,
    ( c1_1(X1)
    | hskp22
    | hskp14
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_137])]) ).

cnf(c_0_314,negated_conjecture,
    ( c3_1(X1)
    | hskp7
    | hskp14
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_137])]) ).

cnf(c_0_315,negated_conjecture,
    ( epred32_0
    | c2_1(X1)
    | hskp19
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_237]),c_0_137])]) ).

cnf(c_0_316,negated_conjecture,
    ( epred53_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_238]),c_0_137])]) ).

cnf(c_0_317,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp26
    | hskp0
    | ~ ndr1_0 ),
    clause130 ).

cnf(c_0_318,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp4
    | ~ ndr1_0 ),
    clause132 ).

cnf(c_0_319,negated_conjecture,
    ( epred30_0
    | c1_1(X1)
    | hskp20
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_239]),c_0_137])]) ).

cnf(c_0_320,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp17
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause137 ).

cnf(c_0_321,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp13
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause136 ).

cnf(c_0_322,negated_conjecture,
    ( c0_1(X1)
    | hskp14
    | hskp13
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause140 ).

cnf(c_0_323,negated_conjecture,
    ( c2_1(X1)
    | hskp29
    | hskp19
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause144 ).

cnf(c_0_324,negated_conjecture,
    ( c1_1(X1)
    | hskp21
    | hskp13
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause142 ).

cnf(c_0_325,negated_conjecture,
    ( c3_1(X1)
    | hskp1
    | hskp2
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause147 ).

fof(c_0_326,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( c0_1(X3)
        | ~ ndr1_0
        | ~ c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_327,negated_conjecture,
    ( c1_1(a833)
    | ~ hskp28 ),
    clause43 ).

cnf(c_0_328,negated_conjecture,
    ( epred38_0
    | hskp3
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]),c_0_243]) ).

cnf(c_0_329,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp20 ),
    clause32 ).

cnf(c_0_330,negated_conjecture,
    ( hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause172 ).

cnf(c_0_331,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_244,c_0_141]),c_0_135]) ).

cnf(c_0_332,negated_conjecture,
    ( epred52_0
    | epred43_0
    | epred40_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_191]),c_0_199]) ).

cnf(c_0_333,negated_conjecture,
    ( epred52_0
    | epred43_0
    | epred40_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_246,c_0_199]) ).

cnf(c_0_334,negated_conjecture,
    ( epred52_0
    | epred41_0
    | epred39_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_335,negated_conjecture,
    ( epred52_0
    | epred43_0
    | ~ epred39_0 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_336,negated_conjecture,
    ( c0_1(a818)
    | ~ hskp26 ),
    clause48 ).

cnf(c_0_337,negated_conjecture,
    ( c1_1(a818)
    | ~ hskp26 ),
    clause49 ).

cnf(c_0_338,negated_conjecture,
    ( epred36_0
    | hskp9
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]),c_0_254]) ).

cnf(c_0_339,negated_conjecture,
    ( epred23_0
    | epred6_0
    | hskp5
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_340,negated_conjecture,
    ( epred43_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_257]),c_0_258]),c_0_259]) ).

cnf(c_0_341,negated_conjecture,
    ( hskp23
    | hskp25
    | hskp5 ),
    clause36 ).

cnf(c_0_342,negated_conjecture,
    ( c0_1(a857)
    | ~ hskp21 ),
    clause56 ).

cnf(c_0_343,negated_conjecture,
    ( ~ c2_1(a857)
    | ~ hskp21 ),
    clause93 ).

cnf(c_0_344,negated_conjecture,
    ( ~ c3_1(a857)
    | ~ hskp21 ),
    clause94 ).

cnf(c_0_345,negated_conjecture,
    ( ~ c0_1(a855)
    | ~ hskp19 ),
    clause97 ).

cnf(c_0_346,negated_conjecture,
    ( ~ c1_1(a855)
    | ~ hskp19 ),
    clause98 ).

cnf(c_0_347,negated_conjecture,
    ( ~ c3_1(a855)
    | ~ hskp19 ),
    clause99 ).

cnf(c_0_348,negated_conjecture,
    ( epred28_0
    | hskp3
    | ~ c1_1(a817)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_220]),c_0_218]) ).

cnf(c_0_349,negated_conjecture,
    ( epred2_0
    | c1_1(a817)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_231]),c_0_221]) ).

fof(c_0_350,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( hskp6
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_351,negated_conjecture,
    ( epred42_0
    | ~ c2_1(a878)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_219]),c_0_151]) ).

cnf(c_0_352,negated_conjecture,
    ( epred26_0
    | c2_1(a878)
    | hskp9
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_153]),c_0_260]) ).

cnf(c_0_353,negated_conjecture,
    ( epred29_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_262]) ).

cnf(c_0_354,negated_conjecture,
    ( epred26_0
    | hskp9
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_263]),c_0_264]),c_0_265]) ).

cnf(c_0_355,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp9 ),
    clause34 ).

cnf(c_0_356,negated_conjecture,
    ( epred22_0
    | c2_1(a878)
    | hskp23
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_153]),c_0_151]) ).

cnf(c_0_357,negated_conjecture,
    ( epred49_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_267]) ).

cnf(c_0_358,negated_conjecture,
    ( epred20_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp26
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_268]),c_0_137])]) ).

cnf(c_0_359,negated_conjecture,
    ( epred43_0
    | ~ c1_1(a817)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_220]),c_0_221]) ).

cnf(c_0_360,negated_conjecture,
    ( epred41_0
    | epred1_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_269,c_0_212]) ).

cnf(c_0_361,negated_conjecture,
    ( c0_1(a815)
    | ~ hskp0 ),
    clause84 ).

cnf(c_0_362,negated_conjecture,
    ( ~ c0_1(a860)
    | ~ hskp22 ),
    clause90 ).

fof(c_0_363,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_364,negated_conjecture,
    ( epred5_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp5 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_270]),c_0_137])]) ).

cnf(c_0_365,negated_conjecture,
    ( epred15_0
    | ~ c3_1(a828)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_271]),c_0_272]) ).

cnf(c_0_366,negated_conjecture,
    ( epred4_0
    | c3_1(a828)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_144]),c_0_272]) ).

cnf(c_0_367,negated_conjecture,
    ( epred21_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_273]) ).

cnf(c_0_368,negated_conjecture,
    ( epred39_0
    | c2_1(a833)
    | hskp29
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_274]),c_0_275]) ).

cnf(c_0_369,negated_conjecture,
    ( epred38_0
    | c2_1(a862)
    | hskp3
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_276]),c_0_277]) ).

cnf(c_0_370,negated_conjecture,
    ( epred36_0
    | c0_1(a865)
    | hskp9
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_195]),c_0_194]) ).

cnf(c_0_371,negated_conjecture,
    ( epred36_0
    | c0_1(a839)
    | hskp9
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_278]),c_0_279]) ).

cnf(c_0_372,negated_conjecture,
    ( epred37_0
    | epred33_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_373,negated_conjecture,
    ( epred28_0
    | epred1_0
    | hskp3
    | hskp12
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_374,negated_conjecture,
    ( epred28_0
    | c0_1(a865)
    | hskp3
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_193]),c_0_194]) ).

cnf(c_0_375,negated_conjecture,
    ( epred25_0
    | epred1_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_179]),c_0_285]) ).

cnf(c_0_376,negated_conjecture,
    ( epred25_0
    | c2_1(a862)
    | hskp9
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_286]),c_0_276]) ).

cnf(c_0_377,negated_conjecture,
    ( c3_1(X1)
    | hskp15
    | hskp14
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_137])]) ).

cnf(c_0_378,negated_conjecture,
    ( epred22_0
    | c2_1(a815)
    | hskp23
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_161]),c_0_160]) ).

cnf(c_0_379,negated_conjecture,
    ( epred14_0
    | c0_1(a856)
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_241]),c_0_242]) ).

cnf(c_0_380,negated_conjecture,
    ( epred42_0
    | c3_1(a827)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_219]),c_0_290]) ).

cnf(c_0_381,negated_conjecture,
    ( epred42_0
    | epred16_0
    | epred10_0
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_291,c_0_292]) ).

cnf(c_0_382,negated_conjecture,
    ( epred11_0
    | c2_1(a878)
    | hskp8
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_153]),c_0_260]) ).

cnf(c_0_383,negated_conjecture,
    ( epred23_0
    | epred9_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_294]),c_0_295]) ).

cnf(c_0_384,negated_conjecture,
    ( epred43_0
    | epred37_0
    | epred8_0
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_296]) ).

cnf(c_0_385,negated_conjecture,
    ( epred7_0
    | c0_1(a839)
    | hskp4
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_278]),c_0_298]) ).

cnf(c_0_386,negated_conjecture,
    ( epred33_0
    | epred10_0
    | epred2_0
    | c3_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_299,c_0_300]) ).

cnf(c_0_387,negated_conjecture,
    ( c2_1(a844)
    | ~ hskp15 ),
    clause62 ).

cnf(c_0_388,negated_conjecture,
    ( epred51_0
    | hskp3
    | hskp23
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_389,negated_conjecture,
    ( epred7_0
    | c2_1(a825)
    | hskp4
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_252]),c_0_254]) ).

cnf(c_0_390,negated_conjecture,
    ( epred33_0
    | ~ c2_1(a820)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_303]),c_0_304]) ).

cnf(c_0_391,negated_conjecture,
    ( epred6_0
    | epred3_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_173,c_0_159]) ).

cnf(c_0_392,negated_conjecture,
    ( epred44_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_305]),c_0_137])]) ).

cnf(c_0_393,negated_conjecture,
    ( epred23_0
    | c2_1(a862)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_286]),c_0_276]) ).

cnf(c_0_394,negated_conjecture,
    ( epred17_0
    | ~ c2_1(a820)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_303]),c_0_307]) ).

cnf(c_0_395,negated_conjecture,
    ( epred10_0
    | epred1_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_222,c_0_179]) ).

cnf(c_0_396,negated_conjecture,
    ( epred10_0
    | c2_1(a862)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_286]),c_0_277]) ).

cnf(c_0_397,negated_conjecture,
    ( epred8_0
    | c2_1(a878)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_229]),c_0_151]) ).

cnf(c_0_398,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp1
    | hskp22
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_137])]) ).

cnf(c_0_399,negated_conjecture,
    ( epred4_0
    | c3_1(a860)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_144]),c_0_310]) ).

cnf(c_0_400,negated_conjecture,
    ( epred2_0
    | c3_1(a821)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_231]),c_0_312]) ).

cnf(c_0_401,negated_conjecture,
    ( epred2_0
    | c1_1(a830)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_231]),c_0_143]) ).

cnf(c_0_402,negated_conjecture,
    ( epred15_0
    | c1_1(X1)
    | hskp22
    | hskp14
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_313,c_0_271]) ).

cnf(c_0_403,negated_conjecture,
    ( epred52_0
    | c3_1(X1)
    | hskp7
    | hskp14
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_314,c_0_140]) ).

cnf(c_0_404,negated_conjecture,
    ( c2_1(a818)
    | ~ hskp26 ),
    clause50 ).

cnf(c_0_405,negated_conjecture,
    ( c2_1(a821)
    | ~ hskp4 ),
    clause79 ).

cnf(c_0_406,negated_conjecture,
    ( epred53_0
    | epred32_0
    | c2_1(X1)
    | hskp19
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_315,c_0_316]) ).

cnf(c_0_407,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp0
    | hskp26 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_137])]) ).

cnf(c_0_408,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp7 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_137])]) ).

cnf(c_0_409,negated_conjecture,
    ( epred30_0
    | epred15_0
    | c1_1(X1)
    | hskp20
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_271]) ).

cnf(c_0_410,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | hskp12
    | hskp17
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_320,c_0_137])]) ).

cnf(c_0_411,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp13
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_137])]) ).

cnf(c_0_412,negated_conjecture,
    ( c0_1(X1)
    | hskp13
    | hskp14
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_322,c_0_137])]) ).

cnf(c_0_413,negated_conjecture,
    ( c2_1(X1)
    | hskp19
    | hskp29
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_137])]) ).

cnf(c_0_414,negated_conjecture,
    ( c1_1(X1)
    | hskp13
    | hskp21
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_324,c_0_137])]) ).

cnf(c_0_415,negated_conjecture,
    ( c3_1(X1)
    | hskp1
    | hskp2
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_137])]) ).

cnf(c_0_416,negated_conjecture,
    ( c0_1(a826)
    | ~ hskp27 ),
    clause45 ).

cnf(c_0_417,negated_conjecture,
    ( epred50_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_326]),c_0_137])]) ).

cnf(c_0_418,negated_conjecture,
    ( epred40_0
    | hskp8
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_274]),c_0_327]),c_0_275]) ).

cnf(c_0_419,negated_conjecture,
    ( epred38_0
    | hskp3
    | hskp28
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ epred41_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_330,c_0_136]),c_0_166]) ).

cnf(c_0_421,negated_conjecture,
    ( epred52_0
    | epred43_0
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333]) ).

cnf(c_0_422,negated_conjecture,
    ( epred52_0
    | epred43_0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_199]),c_0_335]) ).

cnf(c_0_423,negated_conjecture,
    ( epred22_0
    | c3_1(a842)
    | hskp23
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_147]),c_0_148]) ).

cnf(c_0_424,negated_conjecture,
    ( epred40_0
    | hskp8
    | ~ c3_1(a818)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_336]),c_0_337]) ).

cnf(c_0_425,negated_conjecture,
    ( epred37_0
    | c3_1(a818)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_336]),c_0_337]) ).

cnf(c_0_426,negated_conjecture,
    ( epred33_0
    | ~ c2_1(a862)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_286]),c_0_277]) ).

cnf(c_0_427,negated_conjecture,
    ( epred36_0
    | epred23_0
    | epred6_0
    | hskp9
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_338,c_0_339]) ).

cnf(c_0_428,negated_conjecture,
    ( epred43_0
    | hskp5
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_340,c_0_341]) ).

cnf(c_0_429,negated_conjecture,
    ( epred32_0
    | hskp19
    | ~ c1_1(a857)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_342]),c_0_343]) ).

cnf(c_0_430,negated_conjecture,
    ( epred4_0
    | c1_1(a857)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_144]),c_0_344]) ).

cnf(c_0_431,negated_conjecture,
    ( epred2_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_231]),c_0_346]),c_0_347]) ).

cnf(c_0_432,negated_conjecture,
    ( epred32_0
    | hskp19
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_146]),c_0_147]),c_0_148]) ).

cnf(c_0_433,negated_conjecture,
    ( epred28_0
    | epred2_0
    | hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_348,c_0_349]) ).

cnf(c_0_434,negated_conjecture,
    ( epred14_0
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_215]),c_0_216]),c_0_214]) ).

cnf(c_0_435,negated_conjecture,
    ( c1_1(a827)
    | ~ hskp6 ),
    clause75 ).

cnf(c_0_436,negated_conjecture,
    ( epred27_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_350]),c_0_137])]) ).

cnf(c_0_437,negated_conjecture,
    ( epred42_0
    | epred26_0
    | hskp9
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_438,negated_conjecture,
    ( epred29_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_353]),c_0_215]),c_0_216]) ).

cnf(c_0_439,negated_conjecture,
    ( epred26_0
    | hskp9
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_354,c_0_355]) ).

cnf(c_0_440,negated_conjecture,
    ( epred25_0
    | hskp9
    | ~ c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_146]),c_0_148]) ).

cnf(c_0_441,negated_conjecture,
    ( epred25_0
    | hskp9
    | ~ c3_1(a828)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_171]),c_0_172]) ).

cnf(c_0_442,negated_conjecture,
    ( epred42_0
    | epred22_0
    | hskp23
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_351,c_0_356]) ).

cnf(c_0_443,negated_conjecture,
    ( c1_1(a852)
    | ~ hskp17 ),
    clause59 ).

cnf(c_0_444,negated_conjecture,
    ( ~ c2_1(a852)
    | ~ hskp17 ),
    clause102 ).

cnf(c_0_445,negated_conjecture,
    ( ~ c3_1(a852)
    | ~ hskp17 ),
    clause103 ).

cnf(c_0_446,negated_conjecture,
    ( epred49_0
    | ~ c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_357]),c_0_147]) ).

cnf(c_0_447,negated_conjecture,
    ( epred20_0
    | hskp26
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_153]),c_0_151]),c_0_260]) ).

cnf(c_0_448,negated_conjecture,
    ( epred43_0
    | epred2_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_359,c_0_349]) ).

cnf(c_0_449,negated_conjecture,
    ( epred41_0
    | epred1_0
    | hskp12
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_360,c_0_283]) ).

cnf(c_0_450,negated_conjecture,
    ( epred23_0
    | ~ c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_146]),c_0_148]) ).

cnf(c_0_451,negated_conjecture,
    ( epred37_0
    | c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_146]),c_0_147]) ).

cnf(c_0_452,negated_conjecture,
    ( epred37_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_361]),c_0_161]),c_0_160]) ).

cnf(c_0_453,negated_conjecture,
    ( epred3_0
    | hskp0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_159]),c_0_310]),c_0_309]) ).

cnf(c_0_454,negated_conjecture,
    ( epred31_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_363]) ).

cnf(c_0_455,negated_conjecture,
    ( epred29_0
    | ~ c3_1(a821)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_353]),c_0_312]) ).

cnf(c_0_456,negated_conjecture,
    ( epred6_0
    | c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_146]),c_0_148]) ).

cnf(c_0_457,negated_conjecture,
    ( epred1_0
    | ~ c3_1(a860)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_179]),c_0_310]) ).

cnf(c_0_458,negated_conjecture,
    ( epred5_0
    | c3_1(a860)
    | hskp5
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_364]),c_0_309]) ).

cnf(c_0_459,negated_conjecture,
    ( epred15_0
    | epred4_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_365,c_0_366]) ).

cnf(c_0_460,negated_conjecture,
    ( epred15_0
    | ~ c3_1(a860)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_271]),c_0_310]) ).

cnf(c_0_461,negated_conjecture,
    ( epred2_0
    | c3_1(a860)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_231]),c_0_310]) ).

cnf(c_0_462,negated_conjecture,
    ( epred53_0
    | epred21_0
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_367,c_0_316]) ).

cnf(c_0_463,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3) ),
    clause176 ).

cnf(c_0_464,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    clause179 ).

cnf(c_0_465,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c2_1(X3) ),
    clause178 ).

cnf(c_0_466,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause174 ).

cnf(c_0_467,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | c0_1(X2)
    | c3_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause173 ).

cnf(c_0_468,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause167 ).

cnf(c_0_469,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause166 ).

cnf(c_0_470,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp19
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    clause168 ).

cnf(c_0_471,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    clause169 ).

cnf(c_0_472,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp3
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause159 ).

cnf(c_0_473,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause162 ).

cnf(c_0_474,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause160 ).

cnf(c_0_475,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause164 ).

cnf(c_0_476,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp23
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause165 ).

cnf(c_0_477,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause161 ).

cnf(c_0_478,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause154 ).

cnf(c_0_479,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp2
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause155 ).

cnf(c_0_480,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp8
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause156 ).

cnf(c_0_481,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause151 ).

cnf(c_0_482,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp4
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause152 ).

cnf(c_0_483,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause153 ).

cnf(c_0_484,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause150 ).

cnf(c_0_485,negated_conjecture,
    ( epred41_0
    | epred39_0
    | hskp29
    | ~ c3_1(a833)
    | ~ c1_1(a833)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_192,c_0_368]) ).

cnf(c_0_486,negated_conjecture,
    ( epred30_0
    | c1_1(a862)
    | hskp20
    | epred38_0
    | hskp3
    | ~ c3_1(a862)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_319,c_0_369]) ).

cnf(c_0_487,negated_conjecture,
    ( hskp3
    | hskp23
    | epred36_0
    | hskp9
    | ~ c3_1(a865)
    | ~ c2_1(a865)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_301,c_0_370]) ).

cnf(c_0_488,negated_conjecture,
    ( epred23_0
    | c2_1(a839)
    | epred36_0
    | hskp9
    | ~ c3_1(a839)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_170,c_0_371]) ).

cnf(c_0_489,negated_conjecture,
    ( epred37_0
    | epred33_0
    | epred28_0
    | epred1_0
    | hskp3
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_372,c_0_373]) ).

cnf(c_0_490,negated_conjecture,
    ( hskp3
    | hskp23
    | epred28_0
    | ~ c3_1(a865)
    | ~ c2_1(a865)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_301,c_0_374]) ).

cnf(c_0_491,negated_conjecture,
    ( c3_1(a878)
    | hskp7
    | hskp14
    | epred26_0
    | hskp9
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_314,c_0_352]) ).

cnf(c_0_492,negated_conjecture,
    ( epred43_0
    | c3_1(a878)
    | epred26_0
    | hskp9
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_139,c_0_352]) ).

cnf(c_0_493,negated_conjecture,
    ( epred25_0
    | epred1_0
    | c1_1(a856)
    | ~ hskp20
    | ~ c3_1(a856) ),
    inference(spm,[status(thm)],[c_0_243,c_0_375]) ).

cnf(c_0_494,negated_conjecture,
    ( epred30_0
    | c1_1(a862)
    | hskp20
    | epred25_0
    | hskp9
    | ~ c3_1(a862)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_319,c_0_376]) ).

cnf(c_0_495,negated_conjecture,
    ( c3_1(a878)
    | hskp15
    | hskp14
    | epred22_0
    | hskp23
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_377,c_0_356]) ).

cnf(c_0_496,negated_conjecture,
    ( c3_1(a878)
    | hskp7
    | hskp14
    | epred22_0
    | hskp23
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_314,c_0_356]) ).

cnf(c_0_497,negated_conjecture,
    ( epred43_0
    | c3_1(a878)
    | epred22_0
    | hskp23
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_139,c_0_356]) ).

cnf(c_0_498,negated_conjecture,
    ( epred43_0
    | c3_1(a815)
    | epred22_0
    | hskp23
    | ~ c1_1(a815)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_139,c_0_378]) ).

cnf(c_0_499,negated_conjecture,
    ( epred23_0
    | c2_1(a856)
    | epred14_0
    | hskp2
    | ~ c3_1(a856)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_170,c_0_379]) ).

cnf(c_0_500,negated_conjecture,
    ( epred36_0
    | c0_1(a827)
    | hskp9
    | epred42_0
    | ~ c1_1(a827)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_251,c_0_380]) ).

cnf(c_0_501,negated_conjecture,
    ( epred42_0
    | epred16_0
    | epred10_0
    | c1_1(a830)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_142,c_0_381]) ).

cnf(c_0_502,negated_conjecture,
    ( c3_1(a878)
    | hskp7
    | hskp14
    | epred11_0
    | hskp8
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_314,c_0_382]) ).

cnf(c_0_503,negated_conjecture,
    ( epred43_0
    | c3_1(a878)
    | epred11_0
    | hskp8
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_139,c_0_382]) ).

cnf(c_0_504,negated_conjecture,
    ( epred23_0
    | epred9_0
    | c1_1(a856)
    | ~ hskp20
    | ~ c3_1(a856) ),
    inference(spm,[status(thm)],[c_0_243,c_0_383]) ).

cnf(c_0_505,negated_conjecture,
    ( epred43_0
    | epred37_0
    | epred8_0
    | ~ hskp24
    | ~ c1_1(a878) ),
    inference(spm,[status(thm)],[c_0_151,c_0_384]) ).

cnf(c_0_506,negated_conjecture,
    ( epred23_0
    | c2_1(a839)
    | epred7_0
    | hskp4
    | ~ c3_1(a839)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_170,c_0_385]) ).

cnf(c_0_507,negated_conjecture,
    ( epred21_0
    | c2_1(a839)
    | epred7_0
    | hskp4
    | ~ c1_1(a839)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_367,c_0_385]) ).

cnf(c_0_508,negated_conjecture,
    ( epred33_0
    | epred10_0
    | epred2_0
    | c1_1(a820)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_307,c_0_386]) ).

cnf(c_0_509,negated_conjecture,
    ( epred33_0
    | epred2_0
    | c3_1(a844)
    | c1_1(a844)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_299,c_0_387]) ).

cnf(c_0_510,negated_conjecture,
    ( epred51_0
    | hskp3
    | hskp23
    | epred7_0
    | hskp4
    | ~ c3_1(a825)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_388,c_0_389]) ).

cnf(c_0_511,negated_conjecture,
    ( epred33_0
    | epred4_0
    | c3_1(a820)
    | c1_1(a820)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_390,c_0_144]) ).

cnf(c_0_512,negated_conjecture,
    ( epred33_0
    | epred6_0
    | epred3_0
    | c3_1(a820)
    | c1_1(a820)
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_390,c_0_391]) ).

cnf(c_0_513,negated_conjecture,
    ( epred33_0
    | epred44_0
    | c3_1(a820)
    | c1_1(a820)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_390,c_0_392]) ).

cnf(c_0_514,negated_conjecture,
    ( c1_1(a862)
    | hskp22
    | hskp14
    | epred23_0
    | ~ c3_1(a862)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_313,c_0_393]) ).

cnf(c_0_515,negated_conjecture,
    ( epred30_0
    | c1_1(a862)
    | hskp20
    | epred23_0
    | ~ c3_1(a862)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_319,c_0_393]) ).

cnf(c_0_516,negated_conjecture,
    ( epred17_0
    | epred4_0
    | c3_1(a820)
    | c1_1(a820)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_394,c_0_144]) ).

cnf(c_0_517,negated_conjecture,
    ( epred17_0
    | epred6_0
    | epred3_0
    | c3_1(a820)
    | c1_1(a820)
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_394,c_0_391]) ).

cnf(c_0_518,negated_conjecture,
    ( epred10_0
    | epred1_0
    | c1_1(a856)
    | ~ hskp20
    | ~ c3_1(a856) ),
    inference(spm,[status(thm)],[c_0_243,c_0_395]) ).

cnf(c_0_519,negated_conjecture,
    ( epred30_0
    | c1_1(a862)
    | hskp20
    | epred10_0
    | ~ c3_1(a862)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_319,c_0_396]) ).

cnf(c_0_520,negated_conjecture,
    ( c3_1(a878)
    | hskp7
    | hskp14
    | epred8_0
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_314,c_0_397]) ).

cnf(c_0_521,negated_conjecture,
    ( c3_1(a830)
    | c2_1(a830)
    | hskp1
    | hskp22
    | epred3_0
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_398,c_0_188]) ).

cnf(c_0_522,negated_conjecture,
    ( epred26_0
    | c0_1(a830)
    | c2_1(a830)
    | hskp9
    | epred3_0
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_261,c_0_188]) ).

cnf(c_0_523,negated_conjecture,
    ( epred22_0
    | c3_1(a830)
    | c2_1(a830)
    | hskp23
    | epred3_0
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_266,c_0_188]) ).

cnf(c_0_524,negated_conjecture,
    ( epred14_0
    | c0_1(a860)
    | c1_1(a860)
    | hskp2
    | epred4_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_288,c_0_399]) ).

cnf(c_0_525,negated_conjecture,
    ( c3_1(a830)
    | c2_1(a830)
    | hskp1
    | hskp22
    | epred4_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_398,c_0_163]) ).

cnf(c_0_526,negated_conjecture,
    ( epred26_0
    | c0_1(a830)
    | c2_1(a830)
    | hskp9
    | epred4_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_261,c_0_163]) ).

cnf(c_0_527,negated_conjecture,
    ( epred14_0
    | c0_1(a821)
    | c1_1(a821)
    | hskp2
    | epred2_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_288,c_0_400]) ).

cnf(c_0_528,negated_conjecture,
    ( c3_1(a830)
    | c2_1(a830)
    | hskp1
    | hskp22
    | epred2_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_398,c_0_401]) ).

cnf(c_0_529,negated_conjecture,
    ( epred26_0
    | c0_1(a830)
    | c2_1(a830)
    | hskp9
    | epred2_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_261,c_0_401]) ).

cnf(c_0_530,negated_conjecture,
    ( epred15_0
    | c1_1(a831)
    | hskp22
    | hskp14
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_402,c_0_215]) ).

cnf(c_0_531,negated_conjecture,
    ( epred52_0
    | c3_1(a878)
    | hskp7
    | hskp14
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_403,c_0_153]) ).

cnf(c_0_532,negated_conjecture,
    ( epred51_0
    | hskp3
    | hskp23
    | ~ c3_1(a818)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_388,c_0_404]) ).

cnf(c_0_533,negated_conjecture,
    ( epred51_0
    | hskp3
    | hskp23
    | ~ c3_1(a821)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_388,c_0_405]) ).

cnf(c_0_534,negated_conjecture,
    ( epred53_0
    | epred32_0
    | c2_1(a839)
    | hskp19
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_406,c_0_279]) ).

cnf(c_0_535,negated_conjecture,
    ( c3_1(a821)
    | c1_1(a821)
    | hskp0
    | hskp26
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_311,c_0_407]) ).

cnf(c_0_536,negated_conjecture,
    ( c3_1(a830)
    | c2_1(a830)
    | hskp4
    | hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_158,c_0_408]) ).

cnf(c_0_537,negated_conjecture,
    ( c3_1(a878)
    | c2_1(a878)
    | hskp1
    | hskp22
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_398,c_0_153]) ).

cnf(c_0_538,negated_conjecture,
    ( c3_1(a842)
    | c2_1(a842)
    | hskp1
    | hskp22
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_398,c_0_147]) ).

cnf(c_0_539,negated_conjecture,
    ( epred30_0
    | epred15_0
    | c1_1(a862)
    | hskp20
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_409,c_0_276]) ).

cnf(c_0_540,negated_conjecture,
    ( epred30_0
    | epred15_0
    | c1_1(a831)
    | hskp20
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_409,c_0_215]) ).

cnf(c_0_541,negated_conjecture,
    ( c3_1(a820)
    | c1_1(a820)
    | hskp12
    | hskp17
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_410,c_0_303]) ).

cnf(c_0_542,negated_conjecture,
    ( c0_1(a878)
    | c3_1(a878)
    | hskp12
    | hskp13
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_411,c_0_153]) ).

cnf(c_0_543,negated_conjecture,
    ( c1_1(a821)
    | hskp22
    | hskp14
    | ~ c3_1(a821)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_313,c_0_405]) ).

cnf(c_0_544,negated_conjecture,
    ( c0_1(a825)
    | hskp13
    | hskp14
    | ~ c1_1(a825)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_412,c_0_252]) ).

cnf(c_0_545,negated_conjecture,
    ( c3_1(a827)
    | hskp7
    | hskp14
    | ~ c1_1(a827)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_314,c_0_290]) ).

cnf(c_0_546,negated_conjecture,
    ( c3_1(a817)
    | hskp7
    | hskp14
    | ~ c1_1(a817)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_314,c_0_220]) ).

cnf(c_0_547,negated_conjecture,
    ( c2_1(a842)
    | hskp19
    | hskp29
    | ~ c1_1(a842)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_413,c_0_146]) ).

cnf(c_0_548,negated_conjecture,
    ( c1_1(a862)
    | hskp13
    | hskp21
    | ~ c3_1(a862)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_414,c_0_286]) ).

cnf(c_0_549,negated_conjecture,
    ( c1_1(a828)
    | hskp13
    | hskp21
    | ~ c3_1(a828)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_414,c_0_171]) ).

cnf(c_0_550,negated_conjecture,
    ( c3_1(a892)
    | hskp1
    | hskp2
    | ~ c1_1(a892)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_415,c_0_257]) ).

cnf(c_0_551,negated_conjecture,
    ( hskp3
    | hskp23
    | ~ c3_1(a833)
    | ~ c2_1(a833)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_301,c_0_274]) ).

cnf(c_0_552,negated_conjecture,
    ( hskp3
    | hskp23
    | ~ c3_1(a826)
    | ~ c2_1(a826)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_301,c_0_416]) ).

cnf(c_0_553,negated_conjecture,
    ( hskp3
    | hskp23
    | ~ c3_1(a818)
    | ~ c2_1(a818)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_301,c_0_336]) ).

cnf(c_0_554,negated_conjecture,
    ( epred53_0
    | c2_1(a830)
    | ~ hskp8
    | ~ c1_1(a830) ),
    inference(spm,[status(thm)],[c_0_158,c_0_316]) ).

cnf(c_0_555,negated_conjecture,
    ( epred51_0
    | ~ hskp6
    | ~ c3_1(a827)
    | ~ c2_1(a827) ),
    inference(spm,[status(thm)],[c_0_289,c_0_302]) ).

cnf(c_0_556,negated_conjecture,
    ( epred35_0
    | epred50_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_150,c_0_417]) ).

cnf(c_0_557,negated_conjecture,
    ( epred50_0
    | ~ hskp24
    | ~ c2_1(a878)
    | ~ c1_1(a878) ),
    inference(spm,[status(thm)],[c_0_260,c_0_417]) ).

cnf(c_0_558,negated_conjecture,
    ( epred50_0
    | ~ hskp6
    | ~ c2_1(a827)
    | ~ c1_1(a827) ),
    inference(spm,[status(thm)],[c_0_289,c_0_417]) ).

cnf(c_0_559,negated_conjecture,
    ( epred40_0
    | epred38_0
    | hskp3
    | hskp8
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_560,negated_conjecture,
    ( epred52_0
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_421]),c_0_422]) ).

cnf(c_0_561,negated_conjecture,
    ( epred40_0
    | epred22_0
    | hskp8
    | hskp23
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_164,c_0_423]) ).

cnf(c_0_562,negated_conjecture,
    ( epred40_0
    | epred37_0
    | hskp8
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_424,c_0_425]) ).

cnf(c_0_563,negated_conjecture,
    ( epred38_0
    | epred33_0
    | hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_426,c_0_369]) ).

cnf(c_0_564,negated_conjecture,
    ( epred36_0
    | epred23_0
    | epred6_0
    | epred1_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_285,c_0_427]) ).

cnf(c_0_565,negated_conjecture,
    ( epred43_0
    | epred36_0
    | hskp9
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_338,c_0_428]) ).

cnf(c_0_566,negated_conjecture,
    ( epred32_0
    | epred4_0
    | hskp19
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_429,c_0_430]) ).

cnf(c_0_567,negated_conjecture,
    ( epred32_0
    | epred2_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_431,c_0_432]) ).

cnf(c_0_568,negated_conjecture,
    ( epred28_0
    | epred14_0
    | epred2_0
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_433,c_0_434]) ).

cnf(c_0_569,negated_conjecture,
    ( epred28_0
    | hskp3
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_290]),c_0_435]),c_0_289]) ).

cnf(c_0_570,negated_conjecture,
    ( epred27_0
    | hskp6
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_153]),c_0_151]),c_0_260]) ).

cnf(c_0_571,negated_conjecture,
    ( epred42_0
    | epred26_0
    | hskp9
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_437,c_0_131]) ).

cnf(c_0_572,negated_conjecture,
    ( epred29_0
    | epred26_0
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_573,negated_conjecture,
    ( epred25_0
    | epred22_0
    | hskp9
    | hskp23
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_440,c_0_423]) ).

cnf(c_0_574,negated_conjecture,
    ( epred25_0
    | epred4_0
    | hskp9
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_441,c_0_366]) ).

cnf(c_0_575,negated_conjecture,
    ( epred42_0
    | epred22_0
    | hskp23
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_442,c_0_131]) ).

cnf(c_0_576,negated_conjecture,
    ( epred22_0
    | hskp23
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_443]),c_0_444]),c_0_445]) ).

cnf(c_0_577,negated_conjecture,
    ( epred49_0
    | epred22_0
    | hskp23
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_446,c_0_423]) ).

cnf(c_0_578,negated_conjecture,
    ( epred35_0
    | epred22_0
    | hskp23
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_168,c_0_423]) ).

cnf(c_0_579,negated_conjecture,
    ( epred20_0
    | hskp26
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_447,c_0_131]) ).

cnf(c_0_580,negated_conjecture,
    ( epred43_0
    | epred14_0
    | epred2_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_448,c_0_434]) ).

cnf(c_0_581,negated_conjecture,
    ( epred42_0
    | epred14_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_291,c_0_434]) ).

cnf(c_0_582,negated_conjecture,
    ( epred9_0
    | hskp1
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_294]),c_0_310]),c_0_309]) ).

cnf(c_0_583,negated_conjecture,
    ( epred49_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_357]),c_0_279]),c_0_278]) ).

cnf(c_0_584,negated_conjecture,
    ( epred43_0
    | c3_1(a818)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_404]),c_0_337]) ).

cnf(c_0_585,negated_conjecture,
    ( epred41_0
    | epred37_0
    | epred33_0
    | epred1_0
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_372,c_0_449]) ).

cnf(c_0_586,negated_conjecture,
    ( epred37_0
    | epred23_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

cnf(c_0_587,negated_conjecture,
    ( epred37_0
    | epred3_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_588,negated_conjecture,
    ( epred35_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_274]),c_0_327]),c_0_275]) ).

cnf(c_0_589,negated_conjecture,
    ( epred31_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_286]),c_0_276]),c_0_277]) ).

cnf(c_0_590,negated_conjecture,
    ( epred29_0
    | epred2_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_455,c_0_400]) ).

cnf(c_0_591,negated_conjecture,
    ( epred23_0
    | c2_1(a833)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_274]),c_0_275]) ).

cnf(c_0_592,negated_conjecture,
    ( epred23_0
    | epred6_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_450,c_0_456]) ).

cnf(c_0_593,negated_conjecture,
    ( epred23_0
    | epred4_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_201,c_0_366]) ).

cnf(c_0_594,negated_conjecture,
    ( epred21_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_146]),c_0_147]),c_0_148]) ).

cnf(c_0_595,negated_conjecture,
    ( epred17_0
    | c3_1(a818)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_336]),c_0_404]) ).

cnf(c_0_596,negated_conjecture,
    ( epred17_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_207]),c_0_210]),c_0_208]) ).

cnf(c_0_597,negated_conjecture,
    ( epred5_0
    | epred1_0
    | hskp5
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_457,c_0_458]) ).

cnf(c_0_598,negated_conjecture,
    ( epred15_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_271]),c_0_241]),c_0_242]) ).

cnf(c_0_599,negated_conjecture,
    ( epred15_0
    | epred4_0
    | hskp5
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_459,c_0_256]) ).

cnf(c_0_600,negated_conjecture,
    ( epred5_0
    | hskp5
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_364]),c_0_142]),c_0_143]) ).

cnf(c_0_601,negated_conjecture,
    ( epred15_0
    | epred2_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_460,c_0_461]) ).

cnf(c_0_602,negated_conjecture,
    ( epred10_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_171]),c_0_272]),c_0_172]) ).

cnf(c_0_603,negated_conjecture,
    ( epred4_0
    | epred1_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_457,c_0_399]) ).

cnf(c_0_604,negated_conjecture,
    ( epred53_0
    | epred21_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_462]),c_0_279]) ).

cnf(c_0_605,negated_conjecture,
    ( ~ epred53_0
    | ~ epred49_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_463,c_0_238]),c_0_267]),c_0_154]) ).

cnf(c_0_606,negated_conjecture,
    ( ~ epred52_0
    | ~ epred51_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_464,c_0_233]),c_0_134]),c_0_175]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ epred50_0
    | ~ epred21_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_465,c_0_326]),c_0_273]),c_0_205]) ).

cnf(c_0_608,negated_conjecture,
    ( ~ epred44_0
    | ~ epred41_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_466,c_0_305]),c_0_182]),c_0_166]) ).

cnf(c_0_609,negated_conjecture,
    ( ~ epred43_0
    | ~ epred42_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_467,c_0_181]),c_0_133]),c_0_135]) ).

cnf(c_0_610,negated_conjecture,
    ( ~ epred38_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_468,c_0_186]),c_0_138]) ).

cnf(c_0_611,negated_conjecture,
    ( ~ epred37_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_469,c_0_200]),c_0_174]) ).

cnf(c_0_612,negated_conjecture,
    ( ~ epred33_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_470,c_0_237]),c_0_175]) ).

cnf(c_0_613,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_471,c_0_239]),c_0_363]) ).

cnf(c_0_614,negated_conjecture,
    ( ~ epred29_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_472,c_0_156]),c_0_262]) ).

cnf(c_0_615,negated_conjecture,
    ( ~ epred27_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_473,c_0_350]),c_0_234]) ).

cnf(c_0_616,negated_conjecture,
    ( ~ epred26_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_474,c_0_203]),c_0_154]) ).

cnf(c_0_617,negated_conjecture,
    ( ~ epred25_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_475,c_0_213]),c_0_182]) ).

cnf(c_0_618,negated_conjecture,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_476,c_0_204]),c_0_154]) ).

cnf(c_0_619,negated_conjecture,
    ( ~ epred21_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_477,c_0_268]),c_0_273]) ).

cnf(c_0_620,negated_conjecture,
    ( ~ epred17_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_478,c_0_183]),c_0_234]) ).

cnf(c_0_621,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_479,c_0_217]),c_0_205]) ).

cnf(c_0_622,negated_conjecture,
    ( ~ epred11_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_480,c_0_224]),c_0_155]) ).

cnf(c_0_623,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_481,c_0_225]),c_0_182]) ).

cnf(c_0_624,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_482,c_0_230]),c_0_184]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_483,c_0_270]),c_0_155]) ).

cnf(c_0_626,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_484,c_0_157]),c_0_185]) ).

cnf(c_0_627,negated_conjecture,
    ( ~ c3_1(a844)
    | ~ hskp15 ),
    clause106 ).

cnf(c_0_628,negated_conjecture,
    ( ~ c1_1(a844)
    | ~ hskp15 ),
    clause105 ).

cnf(c_0_629,negated_conjecture,
    ( c3_1(a826)
    | ~ hskp27 ),
    clause47 ).

cnf(c_0_630,negated_conjecture,
    ( c2_1(a826)
    | ~ hskp27 ),
    clause46 ).

cnf(c_0_631,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_528,c_0_529,c_0_530,c_0_531,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_542,c_0_543,c_0_544,c_0_545,c_0_546,c_0_547,c_0_548,c_0_549,c_0_550,c_0_551,c_0_552,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_418,c_0_562,c_0_368,c_0_196,c_0_563,c_0_328,c_0_564,c_0_427,c_0_565,c_0_338,c_0_566,c_0_567,c_0_568,c_0_569,c_0_433,c_0_570,c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_356,c_0_576,c_0_577,c_0_578,c_0_423,c_0_579,c_0_447,c_0_580,c_0_581,c_0_351,c_0_291,c_0_582,c_0_583,c_0_584,c_0_428,c_0_247,c_0_585,c_0_425,c_0_586,c_0_372,c_0_587,c_0_452,c_0_588,c_0_589,c_0_438,c_0_590,c_0_455,c_0_591,c_0_592,c_0_450,c_0_339,c_0_593,c_0_255,c_0_295,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_459,c_0_601,c_0_602,c_0_366,c_0_603,c_0_400,c_0_349,c_0_431,c_0_285,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_420,c_0_249,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_622,c_0_623,c_0_624,c_0_625,c_0_331,c_0_626,c_0_160,c_0_221,c_0_307,c_0_304,c_0_311,c_0_312,c_0_254,c_0_289,c_0_272,c_0_158,c_0_143,c_0_142,c_0_216,c_0_298,c_0_627,c_0_628,c_0_243,c_0_242,c_0_362,c_0_310,c_0_277,c_0_259,c_0_260,c_0_151,c_0_148,c_0_252,c_0_278,c_0_241,c_0_276,c_0_629,c_0_275,c_0_195,c_0_290,c_0_404,c_0_630,c_0_193,c_0_161,c_0_253,c_0_435,c_0_279,c_0_147,c_0_153,c_0_258,c_0_327,c_0_194,c_0_341,c_0_329,c_0_131]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15  % Problem    : SYN452-1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.16  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n007.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 2400
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Mon Oct  2 18:07:24 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.p5yMtcUP0E/E---3.1_15373.p
% 9.88/1.78  # Version: 3.1pre001
% 9.88/1.78  # Preprocessing class: FSLSSLSMSSSNFFN.
% 9.88/1.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.88/1.78  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 9.88/1.78  # Starting new_bool_3 with 300s (1) cores
% 9.88/1.78  # Starting new_bool_1 with 300s (1) cores
% 9.88/1.78  # Starting sh5l with 300s (1) cores
% 9.88/1.78  # new_bool_3 with pid 15452 completed with status 0
% 9.88/1.78  # Result found by new_bool_3
% 9.88/1.78  # Preprocessing class: FSLSSLSMSSSNFFN.
% 9.88/1.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.88/1.78  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 9.88/1.78  # Starting new_bool_3 with 300s (1) cores
% 9.88/1.78  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.88/1.78  # Search class: FGHNF-FSMM00-SFFFFFNN
% 9.88/1.78  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 9.88/1.78  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 9.88/1.78  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 15461 completed with status 0
% 9.88/1.78  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 9.88/1.78  # Preprocessing class: FSLSSLSMSSSNFFN.
% 9.88/1.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.88/1.78  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 9.88/1.78  # Starting new_bool_3 with 300s (1) cores
% 9.88/1.78  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.88/1.78  # Search class: FGHNF-FSMM00-SFFFFFNN
% 9.88/1.78  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 9.88/1.78  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 9.88/1.78  # Preprocessing time       : 0.002 s
% 9.88/1.78  # SatCheck found unsatisfiable ground set
% 9.88/1.78  
% 9.88/1.78  # Proof found!
% 9.88/1.78  # SZS status Unsatisfiable
% 9.88/1.78  # SZS output start CNFRefutation
% See solution above
% 9.88/1.78  # Parsed axioms                        : 180
% 9.88/1.78  # Removed by relevancy pruning/SinE    : 0
% 9.88/1.78  # Initial clauses                      : 180
% 9.88/1.78  # Removed in clause preprocessing      : 0
% 9.88/1.78  # Initial clauses in saturation        : 180
% 9.88/1.78  # Processed clauses                    : 6692
% 9.88/1.78  # ...of these trivial                  : 0
% 9.88/1.78  # ...subsumed                          : 1692
% 9.88/1.78  # ...remaining for further processing  : 5000
% 9.88/1.78  # Other redundant clauses eliminated   : 0
% 9.88/1.78  # Clauses deleted for lack of memory   : 0
% 9.88/1.78  # Backward-subsumed                    : 931
% 9.88/1.78  # Backward-rewritten                   : 50
% 9.88/1.78  # Generated clauses                    : 67039
% 9.88/1.78  # ...of the previous two non-redundant : 64244
% 9.88/1.78  # ...aggressively subsumed             : 0
% 9.88/1.78  # Contextual simplify-reflections      : 520
% 9.88/1.78  # Paramodulations                      : 66954
% 9.88/1.78  # Factorizations                       : 0
% 9.88/1.78  # NegExts                              : 0
% 9.88/1.78  # Equation resolutions                 : 0
% 9.88/1.78  # Total rewrite steps                  : 82
% 9.88/1.78  # Propositional unsat checks           : 1
% 9.88/1.78  #    Propositional check models        : 0
% 9.88/1.78  #    Propositional check unsatisfiable : 1
% 9.88/1.78  #    Propositional clauses             : 61211
% 9.88/1.78  #    Propositional clauses after purity: 60628
% 9.88/1.78  #    Propositional unsat core size     : 222
% 9.88/1.78  #    Propositional preprocessing time  : 0.000
% 9.88/1.78  #    Propositional encoding time       : 0.019
% 9.88/1.78  #    Propositional solver time         : 0.060
% 9.88/1.78  #    Success case prop preproc time    : 0.000
% 9.88/1.78  #    Success case prop encoding time   : 0.019
% 9.88/1.78  #    Success case prop solver time     : 0.060
% 9.88/1.78  # Current number of processed clauses  : 3987
% 9.88/1.78  #    Positive orientable unit clauses  : 1
% 9.88/1.78  #    Positive unorientable unit clauses: 0
% 9.88/1.78  #    Negative unit clauses             : 0
% 9.88/1.78  #    Non-unit-clauses                  : 3986
% 9.88/1.78  # Current number of unprocessed clauses: 57224
% 9.88/1.78  # ...number of literals in the above   : 403910
% 9.88/1.78  # Current number of archived formulas  : 0
% 9.88/1.78  # Current number of archived clauses   : 981
% 9.88/1.78  # Clause-clause subsumption calls (NU) : 5470187
% 9.88/1.78  # Rec. Clause-clause subsumption calls : 169144
% 9.88/1.78  # Non-unit clause-clause subsumptions  : 3181
% 9.88/1.78  # Unit Clause-clause subsumption calls : 4
% 9.88/1.78  # Rewrite failures with RHS unbound    : 0
% 9.88/1.78  # BW rewrite match attempts            : 1
% 9.88/1.78  # BW rewrite match successes           : 1
% 9.88/1.78  # Condensation attempts                : 6692
% 9.88/1.78  # Condensation successes               : 0
% 9.88/1.78  # Termbank termtop insertions          : 651764
% 9.88/1.78  
% 9.88/1.78  # -------------------------------------------------
% 9.88/1.78  # User time                : 1.141 s
% 9.88/1.78  # System time              : 0.042 s
% 9.88/1.78  # Total time               : 1.182 s
% 9.88/1.78  # Maximum resident set size: 2344 pages
% 9.88/1.78  
% 9.88/1.78  # -------------------------------------------------
% 9.88/1.78  # User time                : 1.144 s
% 9.88/1.78  # System time              : 0.045 s
% 9.88/1.78  # Total time               : 1.188 s
% 9.88/1.78  # Maximum resident set size: 1872 pages
% 9.88/1.78  % E---3.1 exiting
% 9.88/1.78  % E---3.1 exiting
%------------------------------------------------------------------------------