TSTP Solution File: SYN506-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN506-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 20:32:08 EDT 2023

% Result   : Timeout 10.06s 300.15s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  139
% Syntax   : Number of formulae    :  453 (   2 unt;   0 def)
%            Number of atoms       : 1694 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2095 ( 854   ~;1200   |;   0   &)
%                                         (  41 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   69 (  68 usr;  65 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  212 (   0 sgn;  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause6,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause6) ).

cnf(clause1,negated_conjecture,
    ( hskp25
    | hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause1) ).

cnf(clause15,negated_conjecture,
    ( ndr1_0
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause15) ).

cnf(clause137,negated_conjecture,
    ( c2_1(X1)
    | hskp28
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause137) ).

cnf(clause47,negated_conjecture,
    ( c3_1(a333)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause47) ).

cnf(clause46,negated_conjecture,
    ( c1_1(a333)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause46) ).

cnf(clause40,negated_conjecture,
    ( c1_1(a343)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause40) ).

cnf(clause41,negated_conjecture,
    ( c2_1(a343)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause41) ).

cnf(clause48,negated_conjecture,
    ( c0_1(a419)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause48) ).

cnf(clause81,negated_conjecture,
    ( ~ c1_1(a419)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause81) ).

cnf(clause82,negated_conjecture,
    ( ~ c2_1(a419)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause82) ).

cnf(clause61,negated_conjecture,
    ( c3_1(a349)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause61) ).

cnf(clause60,negated_conjecture,
    ( c1_1(a349)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause60) ).

cnf(clause96,negated_conjecture,
    ( ~ c2_1(a349)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause96) ).

cnf(clause71,negated_conjecture,
    ( c3_1(a330)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause71) ).

cnf(clause113,negated_conjecture,
    ( ~ c1_1(a330)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause113) ).

cnf(clause83,negated_conjecture,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause83) ).

cnf(clause49,negated_conjecture,
    ( c1_1(a401)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause49) ).

cnf(clause84,negated_conjecture,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause84) ).

cnf(clause68,negated_conjecture,
    ( c3_1(a345)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause68) ).

cnf(clause101,negated_conjecture,
    ( ~ c2_1(a345)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause101) ).

cnf(clause67,negated_conjecture,
    ( c0_1(a345)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause67) ).

cnf(clause64,negated_conjecture,
    ( c3_1(a347)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause64) ).

cnf(clause99,negated_conjecture,
    ( ~ c1_1(a347)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause99) ).

cnf(clause2,negated_conjecture,
    ( hskp24
    | hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause2) ).

cnf(clause155,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause155) ).

cnf(clause63,negated_conjecture,
    ( c2_1(a347)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause63) ).

cnf(clause195,negated_conjecture,
    ( c2_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause195) ).

cnf(clause53,negated_conjecture,
    ( c3_1(a359)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause53) ).

cnf(clause89,negated_conjecture,
    ( ~ c2_1(a359)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause89) ).

cnf(clause88,negated_conjecture,
    ( ~ c0_1(a359)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause88) ).

cnf(clause35,negated_conjecture,
    ( hskp12
    | hskp17
    | hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause35) ).

cnf(clause58,negated_conjecture,
    ( c1_1(a353)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause58) ).

cnf(clause59,negated_conjecture,
    ( c2_1(a353)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause59) ).

cnf(clause45,negated_conjecture,
    ( c0_1(a333)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause45) ).

cnf(clause39,negated_conjecture,
    ( c0_1(a343)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause39) ).

cnf(clause134,negated_conjecture,
    ( c1_1(X1)
    | hskp15
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause134) ).

cnf(clause112,negated_conjecture,
    ( ~ c0_1(a330)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause112) ).

cnf(clause72,negated_conjecture,
    ( c2_1(a329)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause72) ).

cnf(clause114,negated_conjecture,
    ( ~ c1_1(a329)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause114) ).

cnf(clause115,negated_conjecture,
    ( ~ c3_1(a329)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause115) ).

cnf(clause121,negated_conjecture,
    ( ~ c3_1(a324)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause121) ).

cnf(clause119,negated_conjecture,
    ( ~ c0_1(a324)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause119) ).

cnf(clause120,negated_conjecture,
    ( ~ c1_1(a324)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause120) ).

cnf(clause124,negated_conjecture,
    ( ~ c3_1(a323)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause124) ).

cnf(clause122,negated_conjecture,
    ( ~ c1_1(a323)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause122) ).

cnf(clause194,negated_conjecture,
    ( c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause194) ).

cnf(clause74,negated_conjecture,
    ( c1_1(a327)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause74) ).

cnf(clause73,negated_conjecture,
    ( c0_1(a327)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause73) ).

cnf(clause116,negated_conjecture,
    ( ~ c3_1(a327)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause116) ).

cnf(clause123,negated_conjecture,
    ( ~ c2_1(a323)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause123) ).

cnf(clause36,negated_conjecture,
    ( hskp25
    | hskp11
    | hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause36) ).

cnf(clause102,negated_conjecture,
    ( ~ c0_1(a338)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause102) ).

cnf(clause103,negated_conjecture,
    ( ~ c1_1(a338)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause103) ).

cnf(clause104,negated_conjecture,
    ( ~ c2_1(a338)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause104) ).

cnf(clause191,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause191) ).

cnf(clause56,negated_conjecture,
    ( c2_1(a355)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause56) ).

cnf(clause55,negated_conjecture,
    ( c1_1(a355)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause55) ).

cnf(clause92,negated_conjecture,
    ( ~ c3_1(a355)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause92) ).

cnf(clause91,negated_conjecture,
    ( ~ c3_1(a358)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause91) ).

cnf(clause90,negated_conjecture,
    ( ~ c0_1(a358)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause90) ).

cnf(clause133,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp7
    | hskp22
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause133) ).

cnf(clause152,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp1
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause152) ).

cnf(clause185,negated_conjecture,
    ( c1_1(X2)
    | hskp22
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause185) ).

cnf(clause107,negated_conjecture,
    ( ~ c0_1(a334)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause107) ).

cnf(clause70,negated_conjecture,
    ( c2_1(a334)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause70) ).

cnf(clause108,negated_conjecture,
    ( ~ c1_1(a334)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause108) ).

cnf(clause52,negated_conjecture,
    ( c3_1(a367)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause52) ).

cnf(clause86,negated_conjecture,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause86) ).

cnf(clause87,negated_conjecture,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause87) ).

cnf(clause69,negated_conjecture,
    ( c0_1(a337)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause69) ).

cnf(clause105,negated_conjecture,
    ( ~ c2_1(a337)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause105) ).

cnf(clause106,negated_conjecture,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause106) ).

cnf(clause98,negated_conjecture,
    ( ~ c3_1(a348)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause98) ).

cnf(clause62,negated_conjecture,
    ( c0_1(a348)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause62) ).

cnf(clause97,negated_conjecture,
    ( ~ c1_1(a348)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause97) ).

cnf(clause75,negated_conjecture,
    ( c0_1(a326)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause75) ).

cnf(clause76,negated_conjecture,
    ( c2_1(a326)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause76) ).

cnf(clause117,negated_conjecture,
    ( ~ c1_1(a326)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause117) ).

cnf(clause196,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause196) ).

cnf(clause190,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause190) ).

cnf(clause189,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause189) ).

cnf(clause187,negated_conjecture,
    ( hskp10
    | ~ 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.xWyHalCVwT/E---3.1_32495.p',clause187) ).

cnf(clause186,negated_conjecture,
    ( c2_1(X2)
    | hskp20
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause186) ).

cnf(clause180,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp14
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause180) ).

cnf(clause176,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause176) ).

cnf(clause172,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause172) ).

cnf(clause167,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp4
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause167) ).

cnf(clause166,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp5
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause166) ).

cnf(clause163,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause163) ).

cnf(clause174,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp19
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause174) ).

cnf(clause169,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause169) ).

cnf(clause164,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause164) ).

cnf(clause156,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause156) ).

cnf(clause161,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp21
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause161) ).

cnf(clause162,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause162) ).

cnf(clause159,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp7
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause159) ).

cnf(clause154,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp12
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p',clause154) ).

cnf(c_0_98,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    clause6 ).

cnf(c_0_99,negated_conjecture,
    ( hskp25
    | hskp16 ),
    clause1 ).

cnf(c_0_100,negated_conjecture,
    ( ndr1_0
    | ~ hskp16 ),
    clause15 ).

fof(c_0_101,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_102,plain,
    ( ~ epred66_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_103,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).

cnf(c_0_104,negated_conjecture,
    ( c2_1(X1)
    | hskp28
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause137 ).

cnf(c_0_105,negated_conjecture,
    ( epred47_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_101]) ).

cnf(c_0_106,negated_conjecture,
    ( epred66_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_102]),c_0_103])]) ).

cnf(c_0_107,negated_conjecture,
    ( c3_1(a333)
    | ~ hskp26 ),
    clause47 ).

cnf(c_0_108,negated_conjecture,
    ( c1_1(a333)
    | ~ hskp26 ),
    clause46 ).

cnf(c_0_109,negated_conjecture,
    ( c2_1(X1)
    | hskp28
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_103])]) ).

fof(c_0_110,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( hskp26
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_111,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_112,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_113,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_114,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_115,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_116,negated_conjecture,
    ( epred66_0
    | epred47_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_117,negated_conjecture,
    ( c1_1(a343)
    | ~ hskp28 ),
    clause40 ).

cnf(c_0_118,negated_conjecture,
    ( c2_1(a343)
    | ~ hskp28 ),
    clause41 ).

cnf(c_0_119,negated_conjecture,
    ( epred47_0
    | ~ c2_1(a333)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_107]),c_0_108]) ).

cnf(c_0_120,negated_conjecture,
    ( c2_1(a333)
    | hskp28
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_107]),c_0_108]) ).

cnf(c_0_121,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp26
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_110]),c_0_103])]) ).

cnf(c_0_122,negated_conjecture,
    ( c0_1(a419)
    | ~ hskp25 ),
    clause48 ).

cnf(c_0_123,negated_conjecture,
    ( ~ c1_1(a419)
    | ~ hskp25 ),
    clause81 ).

cnf(c_0_124,negated_conjecture,
    ( ~ c2_1(a419)
    | ~ hskp25 ),
    clause82 ).

cnf(c_0_125,negated_conjecture,
    ( c3_1(a349)
    | ~ hskp16 ),
    clause61 ).

cnf(c_0_126,negated_conjecture,
    ( c1_1(a349)
    | ~ hskp16 ),
    clause60 ).

cnf(c_0_127,negated_conjecture,
    ( ~ c2_1(a349)
    | ~ hskp16 ),
    clause96 ).

cnf(c_0_128,negated_conjecture,
    ( epred34_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_111]) ).

cnf(c_0_129,negated_conjecture,
    ( c3_1(a330)
    | ~ hskp7 ),
    clause71 ).

cnf(c_0_130,negated_conjecture,
    ( ~ c1_1(a330)
    | ~ hskp7 ),
    clause113 ).

cnf(c_0_131,negated_conjecture,
    ( epred2_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_112]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    clause83 ).

cnf(c_0_133,negated_conjecture,
    ( epred19_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_113]) ).

cnf(c_0_134,negated_conjecture,
    ( c1_1(a401)
    | ~ hskp24 ),
    clause49 ).

cnf(c_0_135,negated_conjecture,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    clause84 ).

fof(c_0_136,plain,
    ( ~ epred13_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_137,negated_conjecture,
    ( c3_1(a345)
    | ~ hskp12 ),
    clause68 ).

cnf(c_0_138,negated_conjecture,
    ( ~ c2_1(a345)
    | ~ hskp12 ),
    clause101 ).

cnf(c_0_139,negated_conjecture,
    ( epred17_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_114]) ).

cnf(c_0_140,negated_conjecture,
    ( c0_1(a345)
    | ~ hskp12 ),
    clause67 ).

cnf(c_0_141,negated_conjecture,
    ( c3_1(a347)
    | ~ hskp14 ),
    clause64 ).

cnf(c_0_142,negated_conjecture,
    ( ~ c1_1(a347)
    | ~ hskp14 ),
    clause99 ).

cnf(c_0_143,negated_conjecture,
    ( epred11_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_115]) ).

cnf(c_0_144,negated_conjecture,
    ( epred66_0
    | epred47_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).

cnf(c_0_145,negated_conjecture,
    ( epred47_0
    | hskp28
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_146,negated_conjecture,
    ( epred10_0
    | hskp26
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_124]) ).

cnf(c_0_147,negated_conjecture,
    ( hskp28
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_125]),c_0_126]),c_0_127]) ).

cnf(c_0_148,negated_conjecture,
    ( epred34_0
    | ~ c2_1(a330)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).

cnf(c_0_149,negated_conjecture,
    ( epred2_0
    | c2_1(a330)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_129]),c_0_130]) ).

cnf(c_0_150,negated_conjecture,
    ( epred19_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_135]) ).

cnf(c_0_151,negated_conjecture,
    ( hskp24
    | hskp7 ),
    clause2 ).

cnf(c_0_152,negated_conjecture,
    ( epred13_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_136]) ).

fof(c_0_153,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_154,negated_conjecture,
    ( hskp28
    | ~ c1_1(a345)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_137]),c_0_138]) ).

cnf(c_0_155,negated_conjecture,
    ( epred17_0
    | c1_1(a345)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_137]),c_0_140]) ).

cnf(c_0_156,negated_conjecture,
    ( epred17_0
    | ~ c0_1(a347)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_141]),c_0_142]) ).

cnf(c_0_157,negated_conjecture,
    ( epred11_0
    | c0_1(a347)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_141]),c_0_142]) ).

cnf(c_0_158,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause155 ).

cnf(c_0_159,negated_conjecture,
    ( epred66_0
    | epred47_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_160,negated_conjecture,
    ( epred10_0
    | hskp26
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_146,c_0_99]) ).

cnf(c_0_161,negated_conjecture,
    ( epred66_0
    | epred47_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_144,c_0_147]) ).

fof(c_0_162,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_163,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( hskp1
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_164,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_165,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( hskp19
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_166,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( hskp6
        | c0_1(X2)
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_167,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( hskp7
        | c0_1(X2)
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_168,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_169,negated_conjecture,
    ( epred2_0
    | c1_1(a345)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_137]),c_0_138]) ).

cnf(c_0_170,negated_conjecture,
    ( c2_1(a347)
    | ~ hskp14 ),
    clause63 ).

fof(c_0_171,plain,
    ( ~ epred63_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_172,negated_conjecture,
    ( c2_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    clause195 ).

cnf(c_0_173,negated_conjecture,
    ( epred34_0
    | epred2_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_174,negated_conjecture,
    ( epred19_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_175,negated_conjecture,
    ( c3_1(a359)
    | ~ hskp21 ),
    clause53 ).

cnf(c_0_176,negated_conjecture,
    ( ~ c2_1(a359)
    | ~ hskp21 ),
    clause89 ).

cnf(c_0_177,negated_conjecture,
    ( ~ c0_1(a359)
    | ~ hskp21 ),
    clause88 ).

fof(c_0_178,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( hskp21
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_179,negated_conjecture,
    ( epred17_0
    | epred13_0
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_152]) ).

cnf(c_0_180,negated_conjecture,
    ( epred4_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_153]) ).

cnf(c_0_181,negated_conjecture,
    ( epred17_0
    | hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_182,negated_conjecture,
    ( epred17_0
    | epred11_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_183,negated_conjecture,
    ( hskp12
    | hskp17
    | hskp14 ),
    clause35 ).

cnf(c_0_184,negated_conjecture,
    ( c1_1(a353)
    | ~ hskp17 ),
    clause58 ).

cnf(c_0_185,negated_conjecture,
    ( c2_1(a353)
    | ~ hskp17 ),
    clause59 ).

cnf(c_0_186,negated_conjecture,
    ( ~ epred11_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_158,c_0_110]),c_0_115]) ).

cnf(c_0_187,negated_conjecture,
    ( epred66_0
    | epred47_0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]) ).

cnf(c_0_188,negated_conjecture,
    ( epred31_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_162]) ).

cnf(c_0_189,negated_conjecture,
    ( c0_1(a333)
    | ~ hskp26 ),
    clause45 ).

cnf(c_0_190,negated_conjecture,
    ( c0_1(a343)
    | ~ hskp28 ),
    clause39 ).

cnf(c_0_191,negated_conjecture,
    ( c1_1(X1)
    | hskp15
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause134 ).

fof(c_0_192,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_193,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( hskp12
        | c1_1(X2)
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_194,negated_conjecture,
    ( epred5_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp1
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_163]),c_0_103])]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ c0_1(a330)
    | ~ hskp7 ),
    clause112 ).

cnf(c_0_196,negated_conjecture,
    ( epred15_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_164]) ).

fof(c_0_197,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( hskp4
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_198,negated_conjecture,
    ( epred26_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp19
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_165]),c_0_103])]) ).

cnf(c_0_199,negated_conjecture,
    ( c2_1(a329)
    | ~ hskp6 ),
    clause72 ).

cnf(c_0_200,negated_conjecture,
    ( ~ c1_1(a329)
    | ~ hskp6 ),
    clause114 ).

cnf(c_0_201,negated_conjecture,
    ( ~ c3_1(a329)
    | ~ hskp6 ),
    clause115 ).

cnf(c_0_202,negated_conjecture,
    ( ~ c3_1(a324)
    | ~ hskp2 ),
    clause121 ).

cnf(c_0_203,negated_conjecture,
    ( epred30_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_166]),c_0_103])]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ c0_1(a324)
    | ~ hskp2 ),
    clause119 ).

cnf(c_0_205,negated_conjecture,
    ( ~ c1_1(a324)
    | ~ hskp2 ),
    clause120 ).

fof(c_0_206,plain,
    ( ~ epred60_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_207,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( hskp26
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_208,negated_conjecture,
    ( ~ c3_1(a323)
    | ~ hskp1 ),
    clause124 ).

cnf(c_0_209,negated_conjecture,
    ( ~ c1_1(a323)
    | ~ hskp1 ),
    clause122 ).

cnf(c_0_210,negated_conjecture,
    ( epred21_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_167]),c_0_103])]) ).

cnf(c_0_211,negated_conjecture,
    ( epred25_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_168]) ).

fof(c_0_212,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( hskp22
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_213,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_214,plain,
    ( ~ epred61_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_215,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( hskp5
        | c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_216,negated_conjecture,
    ( epred2_0
    | hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_154,c_0_169]) ).

cnf(c_0_217,negated_conjecture,
    ( epred34_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_141]),c_0_170]),c_0_142]) ).

cnf(c_0_218,negated_conjecture,
    ( c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    clause194 ).

cnf(c_0_219,negated_conjecture,
    ( ~ epred63_0
    | ~ epred31_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_172,c_0_171]),c_0_112]),c_0_162]) ).

cnf(c_0_220,negated_conjecture,
    ( epred34_0
    | epred19_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

fof(c_0_221,plain,
    ( ~ epred57_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_222,negated_conjecture,
    ( hskp28
    | ~ c1_1(a359)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_175]),c_0_176]) ).

cnf(c_0_223,negated_conjecture,
    ( epred11_0
    | c1_1(a359)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_175]),c_0_177]) ).

cnf(c_0_224,negated_conjecture,
    ( epred14_0
    | c3_1(X1)
    | hskp21
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_103])]) ).

cnf(c_0_225,negated_conjecture,
    ( c1_1(a327)
    | ~ hskp5 ),
    clause74 ).

cnf(c_0_226,negated_conjecture,
    ( c0_1(a327)
    | ~ hskp5 ),
    clause73 ).

cnf(c_0_227,negated_conjecture,
    ( ~ c3_1(a327)
    | ~ hskp5 ),
    clause116 ).

cnf(c_0_228,negated_conjecture,
    ( epred17_0
    | epred13_0
    | epred4_0
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ c2_1(a323)
    | ~ hskp1 ),
    clause123 ).

cnf(c_0_230,negated_conjecture,
    ( epred17_0
    | epred13_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_122]),c_0_123]) ).

cnf(c_0_231,negated_conjecture,
    ( hskp25
    | hskp11
    | hskp1 ),
    clause36 ).

cnf(c_0_232,negated_conjecture,
    ( ~ c0_1(a338)
    | ~ hskp11 ),
    clause102 ).

cnf(c_0_233,negated_conjecture,
    ( ~ c1_1(a338)
    | ~ hskp11 ),
    clause103 ).

cnf(c_0_234,negated_conjecture,
    ( ~ c2_1(a338)
    | ~ hskp11 ),
    clause104 ).

fof(c_0_235,plain,
    ( ~ epred62_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_236,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    clause191 ).

cnf(c_0_237,negated_conjecture,
    ( epred66_0
    | epred47_0
    | epred17_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_144,c_0_181]) ).

cnf(c_0_238,negated_conjecture,
    ( epred17_0
    | epred11_0
    | hskp12
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_239,negated_conjecture,
    ( epred66_0
    | epred47_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_184]),c_0_185]) ).

cnf(c_0_240,negated_conjecture,
    ( epred66_0
    | epred47_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

fof(c_0_241,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( hskp9
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_242,negated_conjecture,
    ( epred31_0
    | ~ c2_1(a333)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_108]) ).

cnf(c_0_243,negated_conjecture,
    ( epred31_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_190]),c_0_117]),c_0_118]) ).

cnf(c_0_244,negated_conjecture,
    ( c1_1(X1)
    | hskp15
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_103])]) ).

cnf(c_0_245,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_192]) ).

cnf(c_0_246,negated_conjecture,
    ( epred1_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp12 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_193]),c_0_103])]) ).

cnf(c_0_247,negated_conjecture,
    ( epred5_0
    | c2_1(a330)
    | hskp1
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_129]),c_0_195]) ).

fof(c_0_248,plain,
    ( ~ epred59_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_249,negated_conjecture,
    ( epred15_0
    | epred2_0
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_131,c_0_196]) ).

cnf(c_0_250,negated_conjecture,
    ( epred37_0
    | c3_1(X1)
    | hskp4
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_197]),c_0_103])]) ).

cnf(c_0_251,negated_conjecture,
    ( c2_1(a355)
    | ~ hskp19 ),
    clause56 ).

cnf(c_0_252,negated_conjecture,
    ( c1_1(a355)
    | ~ hskp19 ),
    clause55 ).

cnf(c_0_253,negated_conjecture,
    ( ~ c3_1(a355)
    | ~ hskp19 ),
    clause92 ).

cnf(c_0_254,negated_conjecture,
    ( epred26_0
    | hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]),c_0_201]) ).

cnf(c_0_255,negated_conjecture,
    ( epred30_0
    | hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]),c_0_205]) ).

cnf(c_0_256,negated_conjecture,
    ( epred63_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_103])]) ).

cnf(c_0_257,negated_conjecture,
    ( epred60_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_206]) ).

cnf(c_0_258,negated_conjecture,
    ( epred24_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp26
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_207]),c_0_103])]) ).

fof(c_0_259,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp7
        | c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_260,negated_conjecture,
    ( ~ c3_1(a358)
    | ~ hskp20 ),
    clause91 ).

cnf(c_0_261,negated_conjecture,
    ( ~ c0_1(a358)
    | ~ hskp20 ),
    clause90 ).

cnf(c_0_262,negated_conjecture,
    ( epred13_0
    | ~ c0_1(a323)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_152]),c_0_209]) ).

cnf(c_0_263,negated_conjecture,
    ( epred21_0
    | c0_1(a323)
    | hskp7
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_210]),c_0_209]) ).

cnf(c_0_264,negated_conjecture,
    ( epred25_0
    | ~ c0_1(a349)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_125]),c_0_127]) ).

cnf(c_0_265,negated_conjecture,
    ( epred5_0
    | c0_1(a349)
    | hskp1
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_125]),c_0_127]) ).

cnf(c_0_266,negated_conjecture,
    ( epred12_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp22
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_212]),c_0_103])]) ).

cnf(c_0_267,negated_conjecture,
    ( epred25_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_137]),c_0_140]),c_0_138]) ).

fof(c_0_268,plain,
    ( ~ epred56_0
  <=> ! [X2] :
        ( hskp10
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_269,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( hskp20
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_270,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( hskp22
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_271,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp7
    | hskp22
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause133 ).

fof(c_0_272,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( hskp14
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_273,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( hskp7
        | c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_274,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( hskp2
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_275,negated_conjecture,
    ( epred22_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_213]) ).

cnf(c_0_276,negated_conjecture,
    ( epred61_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_214]),c_0_103])]) ).

cnf(c_0_277,negated_conjecture,
    ( epred33_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp5
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_215]),c_0_103])]) ).

cnf(c_0_278,negated_conjecture,
    ( epred66_0
    | epred47_0
    | epred2_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_144,c_0_216]) ).

cnf(c_0_279,negated_conjecture,
    ( epred34_0
    | hskp12
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_217,c_0_183]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ epred66_0
    | ~ epred31_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_218,c_0_102]),c_0_113]),c_0_162]) ).

cnf(c_0_281,negated_conjecture,
    ( epred34_0
    | epred19_0
    | ~ epred63_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

fof(c_0_282,plain,
    ( ~ epred58_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_283,negated_conjecture,
    ( epred57_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_221]),c_0_103])]) ).

cnf(c_0_284,negated_conjecture,
    ( epred11_0
    | hskp28
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_285,negated_conjecture,
    ( epred14_0
    | hskp21
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]),c_0_227]) ).

cnf(c_0_286,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp1
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause152 ).

cnf(c_0_287,negated_conjecture,
    ( epred17_0
    | epred13_0
    | epred4_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_228]),c_0_229]) ).

cnf(c_0_288,negated_conjecture,
    ( epred17_0
    | epred13_0
    | hskp1
    | hskp11 ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_289,negated_conjecture,
    ( epred4_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_180]),c_0_233]),c_0_234]) ).

cnf(c_0_290,negated_conjecture,
    ( c1_1(X2)
    | hskp22
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    clause185 ).

cnf(c_0_291,negated_conjecture,
    ( ~ epred62_0
    | ~ epred61_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_236,c_0_214]),c_0_114]),c_0_235]) ).

cnf(c_0_292,negated_conjecture,
    ( epred66_0
    | epred47_0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]),c_0_240]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ c0_1(a334)
    | ~ hskp9 ),
    clause107 ).

cnf(c_0_294,negated_conjecture,
    ( epred62_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_235]) ).

cnf(c_0_295,negated_conjecture,
    ( c2_1(a334)
    | ~ hskp9 ),
    clause70 ).

cnf(c_0_296,negated_conjecture,
    ( ~ c1_1(a334)
    | ~ hskp9 ),
    clause108 ).

cnf(c_0_297,negated_conjecture,
    ( epred20_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp9
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_241]),c_0_103])]) ).

cnf(c_0_298,negated_conjecture,
    ( c3_1(a367)
    | ~ hskp22 ),
    clause52 ).

cnf(c_0_299,negated_conjecture,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    clause86 ).

cnf(c_0_300,negated_conjecture,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    clause87 ).

cnf(c_0_301,negated_conjecture,
    ( c0_1(a337)
    | ~ hskp10 ),
    clause69 ).

cnf(c_0_302,negated_conjecture,
    ( ~ c2_1(a337)
    | ~ hskp10 ),
    clause105 ).

cnf(c_0_303,negated_conjecture,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    clause106 ).

cnf(c_0_304,negated_conjecture,
    ( epred31_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_120]),c_0_243]) ).

cnf(c_0_305,negated_conjecture,
    ( epred31_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_243,c_0_147]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ c3_1(a348)
    | ~ hskp15 ),
    clause98 ).

cnf(c_0_307,negated_conjecture,
    ( c0_1(a348)
    | ~ hskp15 ),
    clause62 ).

cnf(c_0_308,negated_conjecture,
    ( ~ c1_1(a348)
    | ~ hskp15 ),
    clause97 ).

cnf(c_0_309,negated_conjecture,
    ( hskp15
    | ~ c2_1(a330)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_129]),c_0_130]) ).

cnf(c_0_310,negated_conjecture,
    ( epred8_0
    | c2_1(a330)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_129]),c_0_195]) ).

fof(c_0_311,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_312,negated_conjecture,
    ( epred1_0
    | hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_246]),c_0_209]),c_0_229]) ).

cnf(c_0_313,negated_conjecture,
    ( epred34_0
    | epred5_0
    | hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_148,c_0_247]) ).

cnf(c_0_314,negated_conjecture,
    ( epred59_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_248]),c_0_103])]) ).

cnf(c_0_315,negated_conjecture,
    ( epred15_0
    | epred2_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_249]),c_0_124]) ).

cnf(c_0_316,negated_conjecture,
    ( epred15_0
    | epred2_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_249]),c_0_234]) ).

cnf(c_0_317,negated_conjecture,
    ( epred15_0
    | epred2_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_249]),c_0_229]) ).

cnf(c_0_318,negated_conjecture,
    ( epred37_0
    | hskp4
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]),c_0_253]) ).

cnf(c_0_319,negated_conjecture,
    ( epred30_0
    | epred26_0
    | hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_320,negated_conjecture,
    ( epred63_0
    | epred60_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_321,negated_conjecture,
    ( epred24_0
    | c3_1(a401)
    | hskp26
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_134]),c_0_132]) ).

cnf(c_0_322,negated_conjecture,
    ( epred7_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp7
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_259]),c_0_103])]) ).

cnf(c_0_323,negated_conjecture,
    ( epred21_0
    | c1_1(a358)
    | hskp7
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_210]),c_0_261]) ).

cnf(c_0_324,negated_conjecture,
    ( epred21_0
    | epred13_0
    | hskp7
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_325,negated_conjecture,
    ( epred25_0
    | epred5_0
    | hskp1
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_326,negated_conjecture,
    ( epred14_0
    | c3_1(a343)
    | hskp21
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_117]),c_0_190]) ).

cnf(c_0_327,negated_conjecture,
    ( epred12_0
    | c3_1(a419)
    | hskp22
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_122]),c_0_124]) ).

cnf(c_0_328,negated_conjecture,
    ( epred25_0
    | epred1_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_246]),c_0_267]) ).

cnf(c_0_329,negated_conjecture,
    ( epred56_0
    | hskp10
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_268]),c_0_103])]) ).

cnf(c_0_330,negated_conjecture,
    ( epred53_0
    | c2_1(X1)
    | hskp20
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_269]),c_0_103])]) ).

cnf(c_0_331,negated_conjecture,
    ( epred52_0
    | c1_1(X1)
    | hskp22
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_270]),c_0_103])]) ).

cnf(c_0_332,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp22
    | hskp7
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_103])]) ).

cnf(c_0_333,negated_conjecture,
    ( epred42_0
    | c2_1(X1)
    | hskp14
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_272]),c_0_103])]) ).

cnf(c_0_334,negated_conjecture,
    ( epred39_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp7
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_273]),c_0_103])]) ).

cnf(c_0_335,negated_conjecture,
    ( epred38_0
    | c2_1(X1)
    | hskp2
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_274]),c_0_103])]) ).

cnf(c_0_336,negated_conjecture,
    ( epred63_0
    | c2_1(a333)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_107]),c_0_108]) ).

cnf(c_0_337,negated_conjecture,
    ( epred22_0
    | ~ c2_1(a333)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_107]),c_0_189]) ).

cnf(c_0_338,negated_conjecture,
    ( epred61_0
    | ~ c2_1(a330)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_129]),c_0_130]) ).

cnf(c_0_339,negated_conjecture,
    ( epred33_0
    | hskp5
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_134]),c_0_132]),c_0_135]) ).

cnf(c_0_340,negated_conjecture,
    ( epred66_0
    | epred47_0
    | epred34_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_239]) ).

cnf(c_0_341,negated_conjecture,
    ( epred34_0
    | ~ epred66_0
    | ~ epred63_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_342,negated_conjecture,
    ( epred58_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_282]),c_0_103])]) ).

cnf(c_0_343,negated_conjecture,
    ( epred57_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_122]),c_0_123]),c_0_124]) ).

cnf(c_0_344,negated_conjecture,
    ( epred14_0
    | epred11_0
    | hskp28
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_284,c_0_285]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ epred5_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_286,c_0_163]),c_0_153]) ).

cnf(c_0_346,negated_conjecture,
    ( epred17_0
    | epred13_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_289]) ).

cnf(c_0_347,negated_conjecture,
    ( ~ epred52_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_290,c_0_270]),c_0_101]) ).

cnf(c_0_348,negated_conjecture,
    ( epred66_0
    | epred47_0
    | ~ epred62_0
    | ~ epred61_0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_292]) ).

cnf(c_0_349,negated_conjecture,
    ( epred62_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_295]),c_0_296]) ).

cnf(c_0_350,negated_conjecture,
    ( epred20_0
    | hskp9
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_122]),c_0_123]),c_0_124]) ).

cnf(c_0_351,negated_conjecture,
    ( epred8_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_175]),c_0_177]),c_0_176]) ).

cnf(c_0_352,negated_conjecture,
    ( epred2_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_298]),c_0_299]),c_0_300]) ).

cnf(c_0_353,negated_conjecture,
    ( epred12_0
    | hskp22
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_301]),c_0_302]),c_0_303]) ).

cnf(c_0_354,negated_conjecture,
    ( epred31_0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_160]),c_0_305]) ).

cnf(c_0_355,negated_conjecture,
    ( epred13_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_152]),c_0_307]),c_0_308]) ).

cnf(c_0_356,negated_conjecture,
    ( epred8_0
    | hskp15
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_357,negated_conjecture,
    ( epred62_0
    | ~ c2_1(a330)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_294]),c_0_130]) ).

cnf(c_0_358,negated_conjecture,
    ( epred36_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_311]) ).

cnf(c_0_359,negated_conjecture,
    ( c0_1(a326)
    | ~ hskp4 ),
    clause75 ).

cnf(c_0_360,negated_conjecture,
    ( c2_1(a326)
    | ~ hskp4 ),
    clause76 ).

cnf(c_0_361,negated_conjecture,
    ( ~ c1_1(a326)
    | ~ hskp4 ),
    clause117 ).

cnf(c_0_362,negated_conjecture,
    ( epred34_0
    | epred5_0
    | epred1_0
    | hskp12
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_363,negated_conjecture,
    ( epred4_0
    | c2_1(a330)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_180]),c_0_130]) ).

cnf(c_0_364,negated_conjecture,
    ( epred19_0
    | ~ c1_1(a359)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_133]),c_0_176]) ).

cnf(c_0_365,negated_conjecture,
    ( epred2_0
    | c1_1(a359)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_175]),c_0_176]) ).

cnf(c_0_366,negated_conjecture,
    ( epred17_0
    | ~ c0_1(a367)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_298]),c_0_299]) ).

cnf(c_0_367,negated_conjecture,
    ( epred8_0
    | c0_1(a367)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_298]),c_0_300]) ).

cnf(c_0_368,negated_conjecture,
    ( epred63_0
    | epred59_0
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_256,c_0_314]) ).

cnf(c_0_369,negated_conjecture,
    ( epred15_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_231]),c_0_316]),c_0_317]) ).

cnf(c_0_370,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X3) ),
    clause196 ).

cnf(c_0_371,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    clause190 ).

cnf(c_0_372,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X3) ),
    clause189 ).

cnf(c_0_373,negated_conjecture,
    ( hskp10
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause187 ).

cnf(c_0_374,negated_conjecture,
    ( c2_1(X2)
    | hskp20
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause186 ).

cnf(c_0_375,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp14
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    clause180 ).

cnf(c_0_376,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause176 ).

cnf(c_0_377,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause172 ).

cnf(c_0_378,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp4
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause167 ).

cnf(c_0_379,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp5
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause166 ).

cnf(c_0_380,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause163 ).

cnf(c_0_381,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp19
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause174 ).

cnf(c_0_382,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause169 ).

cnf(c_0_383,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause164 ).

cnf(c_0_384,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause156 ).

cnf(c_0_385,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp21
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause161 ).

cnf(c_0_386,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause162 ).

cnf(c_0_387,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp7
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause159 ).

cnf(c_0_388,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp12
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause154 ).

cnf(c_0_389,negated_conjecture,
    ( epred37_0
    | hskp4
    | epred30_0
    | epred26_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_318,c_0_319]) ).

cnf(c_0_390,negated_conjecture,
    ( epred63_0
    | epred60_0
    | c2_1(a401)
    | ~ hskp24
    | ~ c1_1(a401) ),
    inference(spm,[status(thm)],[c_0_132,c_0_320]) ).

cnf(c_0_391,negated_conjecture,
    ( c2_1(a401)
    | hskp28
    | epred24_0
    | hskp26
    | ~ c1_1(a401)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_109,c_0_321]) ).

cnf(c_0_392,negated_conjecture,
    ( epred7_0
    | c3_1(a358)
    | c0_1(a358)
    | hskp7
    | epred21_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_322,c_0_323]) ).

cnf(c_0_393,negated_conjecture,
    ( epred21_0
    | epred13_0
    | hskp7
    | epred25_0
    | epred5_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_394,negated_conjecture,
    ( epred47_0
    | epred14_0
    | hskp21
    | ~ c2_1(a343)
    | ~ c1_1(a343)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_105,c_0_326]) ).

cnf(c_0_395,negated_conjecture,
    ( epred17_0
    | c1_1(a419)
    | epred12_0
    | hskp22
    | ~ c0_1(a419)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_139,c_0_327]) ).

cnf(c_0_396,negated_conjecture,
    ( epred25_0
    | epred1_0
    | c2_1(a419)
    | c1_1(a419)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_328,c_0_122]) ).

cnf(c_0_397,negated_conjecture,
    ( epred56_0
    | hskp10
    | epred66_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_329,c_0_106]) ).

cnf(c_0_398,negated_conjecture,
    ( epred56_0
    | hskp10
    | ~ c1_1(a333)
    | ~ c0_1(a333)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_329,c_0_107]) ).

cnf(c_0_399,negated_conjecture,
    ( epred53_0
    | c2_1(a327)
    | hskp20
    | ~ c1_1(a327)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_330,c_0_226]) ).

cnf(c_0_400,negated_conjecture,
    ( epred52_0
    | c1_1(a330)
    | hskp22
    | ~ c2_1(a330)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_331,c_0_129]) ).

cnf(c_0_401,negated_conjecture,
    ( c2_1(a419)
    | c1_1(a419)
    | hskp22
    | hskp7
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_332,c_0_122]) ).

cnf(c_0_402,negated_conjecture,
    ( epred42_0
    | c2_1(a349)
    | hskp14
    | ~ c1_1(a349)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_333,c_0_125]) ).

cnf(c_0_403,negated_conjecture,
    ( epred22_0
    | epred66_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_275,c_0_106]) ).

cnf(c_0_404,negated_conjecture,
    ( epred66_0
    | ~ hskp5
    | ~ c2_1(a327)
    | ~ c1_1(a327) ),
    inference(spm,[status(thm)],[c_0_227,c_0_106]) ).

cnf(c_0_405,negated_conjecture,
    ( epred39_0
    | c1_1(a367)
    | c0_1(a367)
    | hskp7
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_334,c_0_298]) ).

cnf(c_0_406,negated_conjecture,
    ( epred38_0
    | c2_1(a367)
    | hskp2
    | ~ c0_1(a367)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_335,c_0_298]) ).

cnf(c_0_407,negated_conjecture,
    ( epred63_0
    | epred47_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_119,c_0_336]) ).

cnf(c_0_408,negated_conjecture,
    ( epred63_0
    | epred22_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_337,c_0_336]) ).

cnf(c_0_409,negated_conjecture,
    ( epred63_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_125]),c_0_126]),c_0_127]) ).

cnf(c_0_410,negated_conjecture,
    ( epred61_0
    | epred2_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_338,c_0_149]) ).

cnf(c_0_411,negated_conjecture,
    ( epred61_0
    | epred8_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_338,c_0_310]) ).

cnf(c_0_412,negated_conjecture,
    ( epred33_0
    | hskp5
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_339,c_0_151]) ).

cnf(c_0_413,negated_conjecture,
    ( epred47_0
    | epred34_0
    | ~ epred63_0
    | ~ epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_340]),c_0_341]) ).

cnf(c_0_414,negated_conjecture,
    ( epred58_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_342]),c_0_301]),c_0_302]) ).

cnf(c_0_415,negated_conjecture,
    ( epred57_0
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_343,c_0_99]) ).

cnf(c_0_416,negated_conjecture,
    ( epred66_0
    | epred47_0
    | epred14_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_344]),c_0_240]) ).

cnf(c_0_417,negated_conjecture,
    ( epred17_0
    | epred13_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_345,c_0_346]) ).

cnf(c_0_418,negated_conjecture,
    ( epred66_0
    | ~ epred62_0
    | ~ epred61_0
    | ~ epred52_0 ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_419,negated_conjecture,
    ( epred62_0
    | epred20_0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_349,c_0_350]) ).

cnf(c_0_420,negated_conjecture,
    ( epred14_0
    | epred8_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_351,c_0_285]) ).

cnf(c_0_421,negated_conjecture,
    ( epred12_0
    | epred2_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_422,negated_conjecture,
    ( epred31_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_354]) ).

cnf(c_0_423,negated_conjecture,
    ( epred13_0
    | epred8_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_424,negated_conjecture,
    ( epred62_0
    | epred2_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_357,c_0_149]) ).

cnf(c_0_425,negated_conjecture,
    ( epred36_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_360]),c_0_361]) ).

cnf(c_0_426,negated_conjecture,
    ( epred34_0
    | epred25_0
    | epred5_0
    | epred1_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_267,c_0_362]) ).

cnf(c_0_427,negated_conjecture,
    ( epred34_0
    | epred4_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_148,c_0_363]) ).

cnf(c_0_428,negated_conjecture,
    ( epred19_0
    | epred2_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_364,c_0_365]) ).

cnf(c_0_429,negated_conjecture,
    ( epred17_0
    | epred8_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_366,c_0_367]) ).

cnf(c_0_430,negated_conjecture,
    ( epred11_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_129]),c_0_195]),c_0_130]) ).

cnf(c_0_431,negated_conjecture,
    ( epred63_0
    | epred59_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_134]),c_0_135]) ).

cnf(c_0_432,negated_conjecture,
    ( epred15_0
    | ~ epred63_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_219,c_0_369]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ epred58_0
    | ~ epred25_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_370,c_0_282]),c_0_168]),c_0_213]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ epred60_0
    | ~ epred59_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_371,c_0_248]),c_0_206]),c_0_311]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ epred57_0
    | ~ epred34_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_372,c_0_221]),c_0_192]),c_0_111]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ epred56_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_373,c_0_268]),c_0_101]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ epred53_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_374,c_0_269]),c_0_101]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ epred42_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_375,c_0_272]),c_0_114]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ epred39_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_376,c_0_273]),c_0_162]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ epred38_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_377,c_0_274]),c_0_112]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ epred37_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_378,c_0_197]),c_0_113]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_379,c_0_215]),c_0_111]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_380,c_0_166]),c_0_162]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ epred26_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_381,c_0_165]),c_0_114]) ).

cnf(c_0_445,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_382,c_0_207]),c_0_168]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_383,c_0_167]),c_0_213]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ epred20_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_384,c_0_241]),c_0_115]) ).

cnf(c_0_448,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_385,c_0_178]),c_0_164]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ epred13_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_386,c_0_212]),c_0_136]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_387,c_0_259]),c_0_192]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_388,c_0_193]),c_0_112]) ).

cnf(c_0_452,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_396,c_0_397,c_0_398,c_0_399,c_0_400,c_0_401,c_0_402,c_0_403,c_0_404,c_0_405,c_0_406,c_0_407,c_0_408,c_0_409,c_0_410,c_0_411,c_0_412,c_0_413,c_0_414,c_0_415,c_0_416,c_0_417,c_0_418,c_0_419,c_0_420,c_0_421,c_0_422,c_0_146,c_0_304,c_0_305,c_0_147,c_0_423,c_0_424,c_0_425,c_0_217,c_0_426,c_0_173,c_0_427,c_0_243,c_0_174,c_0_428,c_0_429,c_0_366,c_0_430,c_0_352,c_0_149,c_0_431,c_0_432,c_0_433,c_0_219,c_0_280,c_0_291,c_0_434,c_0_435,c_0_436,c_0_437,c_0_347,c_0_438,c_0_439,c_0_440,c_0_441,c_0_442,c_0_443,c_0_444,c_0_445,c_0_446,c_0_447,c_0_448,c_0_449,c_0_186,c_0_450,c_0_345,c_0_451,c_0_260,c_0_261,c_0_300,c_0_299,c_0_130,c_0_135,c_0_127,c_0_124,c_0_123,c_0_118,c_0_225,c_0_126,c_0_134,c_0_108,c_0_117,c_0_122,c_0_189,c_0_190,c_0_151,c_0_99]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYN506-1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 19:23:51 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.xWyHalCVwT/E---3.1_32495.p
% 10.06/300.15  # Version: 3.1pre001
% 10.06/300.15  # Preprocessing class: FSLSSLSMSSSNFFN.
% 10.06/300.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.06/300.15  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.06/300.15  # Starting new_bool_3 with 300s (1) cores
% 10.06/300.15  # Starting new_bool_1 with 300s (1) cores
% 10.06/300.15  # Starting sh5l with 300s (1) cores
% 10.06/300.15  # new_bool_3 with pid 32648 completed with status 0
% 10.06/300.15  # Result found by new_bool_3
% 10.06/300.15  # Preprocessing class: FSLSSLSMSSSNFFN.
% 10.06/300.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.06/300.15  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.06/300.15  # Starting new_bool_3 with 300s (1) cores
% 10.06/300.15  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.06/300.15  # Search class: FGHNF-FSMM00-SFFFFFNN
% 10.06/300.15  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 10.06/300.15  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 10.06/300.15  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 32656 completed with status 0
% 10.06/300.15  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 10.06/300.15  # Preprocessing class: FSLSSLSMSSSNFFN.
% 10.06/300.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.06/300.15  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.06/300.15  # Starting new_bool_3 with 300s (1) cores
% 10.06/300.15  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.06/300.15  # Search class: FGHNF-FSMM00-SFFFFFNN
% 10.06/300.15  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 10.06/300.15  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 10.06/300.15  # Preprocessing time       : 0.002 s
% 10.06/300.15  # SatCheck found unsatisfiable ground set
% 10.06/300.15  
% 10.06/300.15  # Proof found!
% 10.06/300.15  # SZS status Unsatisfiable
% 10.06/300.15  # SZS output start CNFRefutation
% See solution above
% 10.06/300.15  # Parsed axioms                        : 196
% 10.06/300.15  # Removed by relevancy pruning/SinE    : 0
% 10.06/300.15  # Initial clauses                      : 196
% 10.06/300.15  # Removed in clause preprocessing      : 0
% 10.06/300.15  # Initial clauses in saturation        : 196
% 10.06/300.15  # Processed clauses                    : 8872
% 10.06/300.15  # ...of these trivial                  : 0
% 10.06/300.15  # ...subsumed                          : 3872
% 10.06/300.15  # ...remaining for further processing  : 5000
% 10.06/300.15  # Other redundant clauses eliminated   : 0
% 10.06/300.15  # Clauses deleted for lack of memory   : 0
% 10.06/300.15  # Backward-subsumed                    : 1287
% 10.06/300.15  # Backward-rewritten                   : 54
% 10.06/300.15  # Generated clauses                    : 48804
% 10.06/300.15  # ...of the previous two non-redundant : 44806
% 10.06/300.15  # ...aggressively subsumed             : 0
% 10.06/300.15  # Contextual simplify-reflections      : 681
% 10.06/300.15  # Paramodulations                      : 48692
% 10.06/300.15  # Factorizations                       : 0
% 10.06/300.15  # NegExts                              : 0
% 10.06/300.15  # Equation resolutions                 : 0
% 10.06/300.15  # Total rewrite steps                  : 98
% 10.06/300.15  # Propositional unsat checks           : 1
% 10.06/300.15  #    Propositional check models        : 0
% 10.06/300.15  #    Propositional check unsatisfiable : 1
% 10.06/300.15  #    Propositional clauses             : 38559
% 10.06/300.15  #    Propositional clauses after purity: 37796
% 10.06/300.15  #    Propositional unsat core size     : 100
% 10.06/300.15  #    Propositional preprocessing time  : 0.000
% 10.06/300.15  #    Propositional encoding time       : 0.013
% 10.06/300.15  #    Propositional solver time         : 0.031
% 10.06/300.15  #    Success case prop preproc time    : 0.000
% 10.06/300.15  #    Success case prop encoding time   : 0.013
% 10.06/300.15  #    Success case prop solver time     : 0.031
% 10.06/300.15  # Current number of processed clauses  : 3613
% 10.06/300.15  #    Positive orientable unit clauses  : 1
% 10.06/300.15  #    Positive unorientable unit clauses: 0
% 10.06/300.15  #    Negative unit clauses             : 0
% 10.06/300.15  #    Non-unit-clauses                  : 3612
% 10.06/300.15  # Current number of unprocessed clauses: 34946
% 10.06/300.15  # ...number of literals in the above   : 226860
% 10.06/300.15  # Current number of archived formulas  : 0
% 10.06/300.15  # Current number of archived clauses   : 1341
% 10.06/300.15  # Clause-clause subsumption calls (NU) : 6295554
% 10.06/300.15  # Rec. Clause-clause subsumption calls : 762348
% 10.06/300.15  # Non-unit clause-clause subsumptions  : 5910
% 10.06/300.15  # Unit Clause-clause subsumption calls : 6
% 10.06/300.15  # Rewrite failures with RHS unbound    : 0
% 10.06/300.15  # BW rewrite match attempts            : 1
% 10.06/300.15  # BW rewrite match successes           : 1
% 10.06/300.15  # Condensation attempts                : 8872
% 10.06/300.15  # Condensation successes               : 0
% 10.06/300.15  # Termbank termtop insertions          : 445810
% 10.06/300.15  
% 10.06/300.15  # -------------------------------------------------
% 10.06/300.15  # User time                : 1.185 s
% 10.06/300.15  # System time              : 0.030 s
% 10.06/300.15  # Total time               : 1.215 s
% 10.06/300.15  # Maximum resident set size: 2324 pages
% 10.06/300.15  
% 10.06/300.15  # -------------------------------------------------
% 10.06/300.15  # User time                : 1.188 s
% 10.06/300.15  # System time              : 0.033 s
% 10.06/300.15  # Total time               : 1.221 s
% 10.06/300.15  # Maximum resident set size: 1864 pages
% 10.06/300.15  % E---3.1 exiting
%------------------------------------------------------------------------------