↑ Up

E---3.5.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN501-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:25:10 PM UTC 2026

% Result   : Unsatisfiable 7.61s 1.32s
% Output   : CNFRefutation 7.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  156
% Syntax   : Number of formulae    :  613 (   2 unt;   0 def)
%            Number of atoms       : 2447 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3015 (1181   ~;1788   |;   0   &)
%                                         (  46 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   74 (  73 usr;  70 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  334 (   0 sgn  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause19,negated_conjecture,
    ( ~ hskp12
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

cnf(clause18,negated_conjecture,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

cnf(clause1,negated_conjecture,
    ( hskp13
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause69,negated_conjecture,
    ( ~ hskp12
    | c1_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(clause68,negated_conjecture,
    ( ~ hskp12
    | c0_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(clause113,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(clause87,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(clause52,negated_conjecture,
    ( ~ hskp26
    | c0_1(a195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(clause89,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a173) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

cnf(clause54,negated_conjecture,
    ( ~ hskp25
    | c1_1(a173) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

cnf(clause88,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a173) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

cnf(clause67,negated_conjecture,
    ( ~ hskp13
    | c1_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(clause149,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

cnf(clause123,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(clause79,negated_conjecture,
    ( ~ hskp5
    | c2_1(a104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(clause37,negated_conjecture,
    ( hskp5
    | hskp25
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(clause112,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(clause66,negated_conjecture,
    ( ~ hskp13
    | c0_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(clause99,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(clause98,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(clause97,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(clause70,negated_conjecture,
    ( ~ hskp11
    | c3_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(clause114,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(clause115,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(clause150,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

cnf(clause178,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp16
    | c0_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

cnf(clause154,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp20
    | hskp7
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

cnf(clause196,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

cnf(clause86,negated_conjecture,
    ( ~ hskp0
    | c0_1(a97) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(clause131,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a97) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

cnf(clause77,negated_conjecture,
    ( ~ hskp6
    | c1_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(clause122,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(clause78,negated_conjecture,
    ( ~ hskp6
    | c2_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(clause51,negated_conjecture,
    ( ~ hskp27
    | c3_1(a101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(clause50,negated_conjecture,
    ( ~ hskp27
    | c1_1(a101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(clause74,negated_conjecture,
    ( ~ hskp8
    | c3_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(clause120,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(clause132,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a97) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

cnf(clause80,negated_conjecture,
    ( ~ hskp4
    | c0_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(clause125,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(clause117,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(clause71,negated_conjecture,
    ( ~ hskp10
    | c1_1(a110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(clause116,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(clause47,negated_conjecture,
    ( ~ hskp28
    | c1_1(a137) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(clause48,negated_conjecture,
    ( ~ hskp28
    | c2_1(a137) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(clause160,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

cnf(clause63,negated_conjecture,
    ( ~ hskp18
    | c2_1(a129) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(clause101,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a129) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(clause155,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | hskp4
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

cnf(clause124,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(clause76,negated_conjecture,
    ( ~ hskp7
    | c3_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(clause75,negated_conjecture,
    ( ~ hskp7
    | c2_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(clause81,negated_conjecture,
    ( ~ hskp4
    | c2_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(clause119,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(clause187,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

cnf(clause158,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | hskp16
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

cnf(clause129,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a98) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

cnf(clause85,negated_conjecture,
    ( ~ hskp1
    | c0_1(a98) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(clause135,negated_conjecture,
    ( ~ ndr1_0
    | hskp19
    | hskp18
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

cnf(clause139,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp5
    | hskp13
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

cnf(clause147,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp11
    | hskp18
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

cnf(clause138,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp6
    | hskp9
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

cnf(clause157,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | hskp18
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

cnf(clause151,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp17
    | hskp9
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

cnf(clause152,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | hskp4
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

cnf(clause130,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a98) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

cnf(clause104,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(clause65,negated_conjecture,
    ( ~ hskp16
    | c0_1(a122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(clause105,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

cnf(clause60,negated_conjecture,
    ( ~ hskp19
    | c1_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

cnf(clause61,negated_conjecture,
    ( ~ hskp19
    | c3_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

cnf(clause102,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(clause108,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a121) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(clause64,negated_conjecture,
    ( ~ hskp17
    | c2_1(a124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(clause103,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(clause35,negated_conjecture,
    ( hskp20
    | hskp4
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(clause41,negated_conjecture,
    ( hskp8
    | hskp10
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(clause106,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a121) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(clause107,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a121) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(clause100,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(clause72,negated_conjecture,
    ( ~ hskp9
    | c1_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(clause73,negated_conjecture,
    ( ~ hskp9
    | c2_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(clause118,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

cnf(clause121,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(clause198,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c0_1(X3)
    | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

cnf(clause197,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

cnf(clause193,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

cnf(clause192,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

cnf(clause191,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

cnf(clause189,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

cnf(clause188,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

cnf(clause186,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

cnf(clause181,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

cnf(clause183,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | c2_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

cnf(clause177,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp15
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

cnf(clause174,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp0
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

cnf(clause172,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp10
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

cnf(clause173,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

cnf(clause176,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp28
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

cnf(clause163,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp1
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

cnf(clause168,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

cnf(clause165,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp10
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

cnf(clause167,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp15
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

cnf(clause166,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp17
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

cnf(clause162,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp27
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

cnf(clause161,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

cnf(clause62,negated_conjecture,
    ( ~ hskp18
    | c0_1(a129) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(clause42,negated_conjecture,
    ( hskp15
    | hskp8
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(clause36,negated_conjecture,
    ( hskp17
    | hskp19
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(clause34,negated_conjecture,
    ( hskp8
    | hskp18
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(c_0_110,negated_conjecture,
    ( ~ hskp12
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause19]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ hskp13
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause18]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ hskp12
    | ndr1_0 ),
    c_0_110 ).

cnf(c_0_113,negated_conjecture,
    ( hskp13
    | hskp12 ),
    clause1 ).

cnf(c_0_114,negated_conjecture,
    ( ~ hskp13
    | ndr1_0 ),
    c_0_111 ).

fof(c_0_115,plain,
    ( ~ epred48_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_116,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).

fof(c_0_117,plain,
    ( ~ epred55_0
  <=> ! [X3] :
        ( ~ c0_1(X3)
        | ~ ndr1_0
        | c1_1(X3)
        | c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_118,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp12
    | c1_1(a113) ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ hskp12
    | c0_1(a113) ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a195) ),
    inference(fof_simplification,[status(thm)],[clause87]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_115]),c_0_116])]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred55_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_116])]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp26
    | c0_1(a195) ),
    inference(fof_simplification,[status(thm)],[clause52]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred19_0 ),
    inference(split_equiv,[status(thm)],[c_0_118]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ hskp12
    | c1_1(a113) ),
    c_0_119 ).

cnf(c_0_128,negated_conjecture,
    ( ~ hskp12
    | c0_1(a113) ),
    c_0_120 ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    c_0_121 ).

fof(c_0_130,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_131,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_132,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a173) ),
    inference(fof_simplification,[status(thm)],[clause89]) ).

fof(c_0_133,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp25
    | c1_1(a173) ),
    inference(fof_simplification,[status(thm)],[clause54]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a173) ),
    inference(fof_simplification,[status(thm)],[clause88]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a195) ),
    c_0_122 ).

cnf(c_0_137,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | epred48_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ hskp26
    | c0_1(a195) ),
    c_0_125 ).

cnf(c_0_139,negated_conjecture,
    ( ~ hskp13
    | c1_1(a116) ),
    inference(fof_simplification,[status(thm)],[clause67]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ hskp12
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_129]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause149]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a104) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | c0_1(X1)
    | epred17_0 ),
    inference(split_equiv,[status(thm)],[c_0_130]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred43_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_131]),c_0_116])]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ hskp5
    | c2_1(a104) ),
    inference(fof_simplification,[status(thm)],[clause79]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a173) ),
    c_0_132 ).

cnf(c_0_147,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred22_0 ),
    inference(split_equiv,[status(thm)],[c_0_133]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp25
    | c1_1(a173) ),
    c_0_134 ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a173) ),
    c_0_135 ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp26
    | epred48_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).

cnf(c_0_151,negated_conjecture,
    ( hskp5
    | hskp25
    | hskp26 ),
    clause37 ).

cnf(c_0_152,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a116) ),
    inference(fof_simplification,[status(thm)],[clause112]) ).

fof(c_0_153,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_154,negated_conjecture,
    ( ~ hskp13
    | c0_1(a116) ),
    inference(fof_simplification,[status(thm)],[clause66]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ hskp13
    | c1_1(a116) ),
    c_0_139 ).

cnf(c_0_156,negated_conjecture,
    ( hskp13
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_140,c_0_113]) ).

fof(c_0_157,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_158,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c3_1(X1) ),
    c_0_141 ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a132) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

fof(c_0_160,plain,
    ( ~ epred56_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a132) ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a132) ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

fof(c_0_163,plain,
    ( ~ epred44_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c2_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_164,plain,
    ( ~ epred57_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_165,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_166,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_167,negated_conjecture,
    ( ~ hskp11
    | c3_1(a112) ),
    inference(fof_simplification,[status(thm)],[clause70]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a112) ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

fof(c_0_169,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c2_1(X2)
        | hskp28 ) ),
    introduced(definition) ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a112) ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp16
    | c0_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause178]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a104) ),
    c_0_142 ).

cnf(c_0_174,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | epred17_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp5
    | c2_1(a104) ),
    c_0_145 ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp25
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_149]) ).

cnf(c_0_177,negated_conjecture,
    ( hskp25
    | hskp5
    | epred48_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp20
    | hskp7
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause154]) ).

fof(c_0_179,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c1_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_180,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause196]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a116) ),
    c_0_152 ).

cnf(c_0_182,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred8_0 ),
    inference(split_equiv,[status(thm)],[c_0_153]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp13
    | c0_1(a116) ),
    c_0_154 ).

cnf(c_0_184,negated_conjecture,
    ( ~ c0_1(a116)
    | c2_1(a116)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_155]),c_0_156]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred14_0 ),
    inference(split_equiv,[status(thm)],[c_0_157]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp0
    | c0_1(a97) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a97) ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_116])]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp6
    | c1_1(a105) ),
    inference(fof_simplification,[status(thm)],[clause77]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a105) ),
    inference(fof_simplification,[status(thm)],[clause122]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp6
    | c2_1(a105) ),
    inference(fof_simplification,[status(thm)],[clause78]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp27
    | c3_1(a101) ),
    inference(fof_simplification,[status(thm)],[clause51]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp27
    | c1_1(a101) ),
    inference(fof_simplification,[status(thm)],[clause50]) ).

fof(c_0_194,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_195,negated_conjecture,
    ( ~ hskp8
    | c3_1(a107) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a107) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

fof(c_0_197,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | c2_1(X1)
        | hskp27 ) ),
    introduced(definition) ).

cnf(c_0_198,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a97) ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

fof(c_0_199,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp4
    | c0_1(a103) ),
    inference(fof_simplification,[status(thm)],[clause80]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a103) ),
    inference(fof_simplification,[status(thm)],[clause125]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a132) ),
    c_0_159 ).

cnf(c_0_203,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred56_0 ),
    inference(split_equiv,[status(thm)],[c_0_160]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a132) ),
    c_0_161 ).

cnf(c_0_205,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a132) ),
    c_0_162 ).

cnf(c_0_206,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred44_0 ),
    inference(split_equiv,[status(thm)],[c_0_163]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a110) ),
    inference(fof_simplification,[status(thm)],[clause117]) ).

fof(c_0_208,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp10
    | c1_1(a110) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a110) ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

fof(c_0_211,plain,
    ( ~ epred54_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_212,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( ~ ndr1_0
        | c1_1(X3)
        | c3_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_213,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp11 ) ),
    introduced(definition) ).

cnf(c_0_214,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | epred57_0 ),
    inference(split_equiv,[status(thm)],[c_0_164]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X1)
    | epred51_0 ),
    inference(split_equiv,[status(thm)],[c_0_165]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp28
    | c1_1(a137) ),
    inference(fof_simplification,[status(thm)],[clause47]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp28
    | c2_1(a137) ),
    inference(fof_simplification,[status(thm)],[clause48]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_166]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp11
    | c3_1(a112) ),
    c_0_167 ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a112) ),
    c_0_168 ).

cnf(c_0_221,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp28
    | c2_1(X1)
    | c1_1(X1)
    | epred18_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_169]),c_0_116])]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a112) ),
    c_0_170 ).

cnf(c_0_223,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | hskp1 ),
    inference(fof_simplification,[status(thm)],[clause160]) ).

fof(c_0_224,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | c3_1(X1)
        | hskp1 ) ),
    introduced(definition) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp18
    | c2_1(a129) ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a129) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | hskp4
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause155]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c3_1(X1) ),
    c_0_171 ).

cnf(c_0_229,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a104) ),
    inference(fof_simplification,[status(thm)],[clause124]) ).

fof(c_0_230,plain,
    ( ~ epred59_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c1_1(X3)
        | c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp7
    | c3_1(a106) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ hskp7
    | c2_1(a106) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp4
    | c2_1(a103) ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

fof(c_0_234,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | hskp10 ) ),
    introduced(definition) ).

fof(c_0_235,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | hskp10 ) ),
    introduced(definition) ).

fof(c_0_236,plain,
    ( ~ epred47_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c3_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_237,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a107) ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause187]) ).

fof(c_0_240,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp16 ) ),
    introduced(definition) ).

cnf(c_0_241,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp16
    | c0_1(X2)
    | c3_1(X1) ),
    c_0_172 ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp5
    | epred17_0
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).

cnf(c_0_243,negated_conjecture,
    ( hskp5
    | epred22_0
    | epred48_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | hskp16
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause158]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a98) ),
    inference(fof_simplification,[status(thm)],[clause129]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ hskp1
    | c0_1(a98) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

fof(c_0_247,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | hskp17 ) ),
    introduced(definition) ).

cnf(c_0_248,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp20
    | hskp7
    | c2_1(X1) ),
    c_0_178 ).

cnf(c_0_249,negated_conjecture,
    ( ~ ndr1_0
    | hskp19
    | hskp18
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause135]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp5
    | hskp13
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause139]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp11
    | hskp18
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause147]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp6
    | hskp9
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause138]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | hskp18
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause157]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp17
    | hskp9
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause151]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | hskp4
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause152]) ).

cnf(c_0_256,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_179]),c_0_116])]) ).

fof(c_0_257,plain,
    ( ~ epred58_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_258,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_180 ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a116)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]) ).

cnf(c_0_260,negated_conjecture,
    ( c2_1(a116)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_183]),c_0_156]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | epred14_0
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_126,c_0_185]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ hskp0
    | c0_1(a97) ),
    c_0_186 ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a97) ),
    c_0_187 ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp13
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_155]),c_0_183]),c_0_181]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp6
    | c1_1(a105) ),
    c_0_189 ).

cnf(c_0_266,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a105) ),
    c_0_190 ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp6
    | c2_1(a105) ),
    c_0_191 ).

cnf(c_0_268,negated_conjecture,
    ( ~ hskp27
    | c3_1(a101) ),
    c_0_192 ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp27
    | c1_1(a101) ),
    c_0_193 ).

cnf(c_0_270,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_194]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp8
    | c3_1(a107) ),
    c_0_195 ).

cnf(c_0_272,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a107) ),
    c_0_196 ).

cnf(c_0_273,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp27
    | c2_1(X1)
    | c1_1(X1)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_197]),c_0_116])]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a97) ),
    c_0_198 ).

cnf(c_0_275,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp0
    | c3_1(X1)
    | epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_116])]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ hskp4
    | c0_1(a103) ),
    c_0_200 ).

cnf(c_0_277,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a103) ),
    c_0_201 ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a132)
    | epred56_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp20
    | c0_1(a132)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_204]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a98) ),
    inference(fof_simplification,[status(thm)],[clause130]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a122) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ hskp16
    | c0_1(a122) ),
    inference(fof_simplification,[status(thm)],[clause65]) ).

cnf(c_0_283,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a122) ),
    inference(fof_simplification,[status(thm)],[clause105]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a110) ),
    c_0_207 ).

cnf(c_0_285,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred52_0 ),
    inference(split_equiv,[status(thm)],[c_0_208]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp10
    | c1_1(a110) ),
    c_0_209 ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a110) ),
    c_0_210 ).

cnf(c_0_288,negated_conjecture,
    ( ~ c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred54_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_211]),c_0_116])]) ).

cnf(c_0_289,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_212]),c_0_116])]) ).

fof(c_0_290,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_291,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_292,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp11
    | c3_1(X1)
    | epred21_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_213]),c_0_116])]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | epred51_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ hskp28
    | c1_1(a137) ),
    c_0_216 ).

cnf(c_0_295,negated_conjecture,
    ( ~ hskp28
    | c2_1(a137) ),
    c_0_217 ).

cnf(c_0_296,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a112)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp11
    | hskp28
    | c2_1(a112)
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_219]),c_0_222]) ).

cnf(c_0_298,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | hskp1 ),
    c_0_223 ).

cnf(c_0_299,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | epred15_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_224]),c_0_116])]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ hskp18
    | c2_1(a129) ),
    c_0_225 ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a129) ),
    c_0_226 ).

cnf(c_0_302,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | hskp4
    | c2_1(X1) ),
    c_0_227 ).

cnf(c_0_303,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp6
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_116])]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a104) ),
    c_0_229 ).

cnf(c_0_305,negated_conjecture,
    ( ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred59_0 ),
    inference(split_equiv,[status(thm)],[c_0_230]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ hskp7
    | c3_1(a106) ),
    c_0_231 ).

cnf(c_0_307,negated_conjecture,
    ( ~ hskp7
    | c2_1(a106) ),
    c_0_232 ).

cnf(c_0_308,negated_conjecture,
    ( ~ hskp4
    | c2_1(a103) ),
    c_0_233 ).

cnf(c_0_309,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp10
    | c1_1(X1)
    | epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_234]),c_0_116])]) ).

cnf(c_0_310,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_235]),c_0_116])]) ).

cnf(c_0_311,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred47_0 ),
    inference(split_equiv,[status(thm)],[c_0_236]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | c0_1(X1)
    | epred28_0 ),
    inference(split_equiv,[status(thm)],[c_0_237]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a107) ),
    c_0_238 ).

fof(c_0_314,plain,
    ( ~ epred46_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_315,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_239 ).

cnf(c_0_316,negated_conjecture,
    ( ~ epred17_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_241,c_0_240]),c_0_130]) ).

cnf(c_0_317,negated_conjecture,
    ( epred17_0
    | epred22_0
    | epred43_0
    | epred48_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_318,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | hskp16
    | c3_1(X1) ),
    c_0_244 ).

cnf(c_0_319,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a98) ),
    c_0_245 ).

cnf(c_0_320,negated_conjecture,
    ( ~ hskp1
    | c0_1(a98) ),
    c_0_246 ).

fof(c_0_321,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp11 ) ),
    introduced(definition) ).

cnf(c_0_322,negated_conjecture,
    ( hskp17
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_247]),c_0_116])]) ).

fof(c_0_323,plain,
    ( ~ epred60_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_324,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp20
    | hskp7
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_116])]) ).

cnf(c_0_325,negated_conjecture,
    ( ~ ndr1_0
    | hskp19
    | hskp18
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_249 ).

cnf(c_0_326,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp5
    | hskp13
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_250 ).

cnf(c_0_327,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp11
    | hskp18
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_251 ).

cnf(c_0_328,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp6
    | hskp9
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_252 ).

cnf(c_0_329,negated_conjecture,
    ( ~ hskp19
    | c1_1(a130) ),
    inference(fof_simplification,[status(thm)],[clause60]) ).

cnf(c_0_330,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | hskp18
    | c3_1(X1) ),
    c_0_253 ).

cnf(c_0_331,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp17
    | hskp9
    | c0_1(X1) ),
    c_0_254 ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp19
    | c3_1(a130) ),
    inference(fof_simplification,[status(thm)],[clause61]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | hskp4
    | c1_1(X1) ),
    c_0_255 ).

cnf(c_0_334,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a124) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

fof(c_0_335,plain,
    ( ~ epred53_0
  <=> ! [X3] :
        ( ~ ndr1_0
        | c3_1(X3)
        | c2_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_336,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a121) ),
    inference(fof_simplification,[status(thm)],[clause108]) ).

fof(c_0_337,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | hskp1 ) ),
    introduced(definition) ).

fof(c_0_338,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ ndr1_0
        | c0_1(X1)
        | hskp15 ) ),
    introduced(definition) ).

cnf(c_0_339,negated_conjecture,
    ( ~ hskp17
    | c2_1(a124) ),
    inference(fof_simplification,[status(thm)],[clause64]) ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a124) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

fof(c_0_341,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | c3_1(X1)
        | hskp4 ) ),
    introduced(definition) ).

cnf(c_0_342,negated_conjecture,
    ( ~ hskp20
    | hskp0
    | c0_1(a132)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_256]),c_0_204]) ).

cnf(c_0_343,negated_conjecture,
    ( ~ epred8_0
    | ~ epred14_0
    | ~ epred58_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_258,c_0_257]),c_0_157]),c_0_153]) ).

cnf(c_0_344,negated_conjecture,
    ( epred8_0
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_156]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ hskp0
    | epred14_0
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).

cnf(c_0_346,negated_conjecture,
    ( hskp0
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_264,c_0_156]) ).

cnf(c_0_347,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a105)
    | hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_265]),c_0_266]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ hskp6
    | c0_1(a105)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_265]),c_0_267]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a101)
    | epred57_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_268]),c_0_269]) ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp27
    | c2_1(a101)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_268]),c_0_269]) ).

cnf(c_0_351,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a107)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp8
    | hskp27
    | c1_1(a107)
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_271]),c_0_272]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ hskp0
    | epred56_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_203]),c_0_262]),c_0_263]) ).

cnf(c_0_354,negated_conjecture,
    ( ~ hskp4
    | hskp0
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).

cnf(c_0_355,negated_conjecture,
    ( ~ hskp20
    | epred44_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_356,negated_conjecture,
    ( hskp20
    | hskp4
    | hskp18 ),
    clause35 ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp11
    | hskp0
    | c2_1(a112)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_256]),c_0_220]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a98) ),
    c_0_280 ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a122) ),
    c_0_281 ).

cnf(c_0_360,negated_conjecture,
    ( ~ hskp16
    | c0_1(a122) ),
    c_0_282 ).

cnf(c_0_361,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a122) ),
    c_0_283 ).

cnf(c_0_362,negated_conjecture,
    ( ~ hskp10
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_286]),c_0_287]) ).

cnf(c_0_363,negated_conjecture,
    ( hskp8
    | hskp10
    | hskp16 ),
    clause41 ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a121) ),
    inference(fof_simplification,[status(thm)],[clause106]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a121) ),
    inference(fof_simplification,[status(thm)],[clause107]) ).

fof(c_0_366,plain,
    ( ~ epred49_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c2_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_367,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_368,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_369,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | hskp15 ) ),
    introduced(definition) ).

fof(c_0_370,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_371,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a130) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp9
    | c1_1(a108) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp9
    | c2_1(a108) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a108) ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

cnf(c_0_375,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | epred50_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_376,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a106) ),
    inference(fof_simplification,[status(thm)],[clause121]) ).

fof(c_0_377,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_378,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | epred40_0 ),
    inference(split_equiv,[status(thm)],[c_0_290]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred58_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_257]),c_0_116])]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_291]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c0_1(X3)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause198]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause197]) ).

cnf(c_0_383,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause193]) ).

cnf(c_0_384,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause192]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause191]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause189]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause188]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause186]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause181]) ).

cnf(c_0_390,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | c2_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause183]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp15
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause177]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp0
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause174]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp10
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_394,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp28
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause176]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp1
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause163]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause168]) ).

cnf(c_0_398,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp10
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause165]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp15
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause167]) ).

cnf(c_0_400,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp17
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause166]) ).

cnf(c_0_401,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp27
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause162]) ).

cnf(c_0_402,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause161]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp11
    | c2_1(X1)
    | c3_1(X1)
    | epred14_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_185]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ hskp28
    | epred51_0
    | epred57_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_295]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ hskp11
    | hskp28
    | epred6_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_297]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp9
    | hskp1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_116])]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ hskp18
    | hskp1
    | c3_1(a129)
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp7
    | hskp4
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_116])]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ hskp12
    | hskp6
    | c3_1(a113) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_127]),c_0_128]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ hskp12
    | hskp0
    | c3_1(a113) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_127]),c_0_128]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ hskp5
    | c1_1(a104)
    | epred59_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_175]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a106)
    | epred57_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_306]),c_0_307]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a97)
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_285]),c_0_263]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a103)
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_215]),c_0_308]) ).

cnf(c_0_415,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp10
    | c1_1(X1)
    | epred24_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_309,c_0_124]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ hskp20
    | hskp10
    | c0_1(a132)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_310]),c_0_204]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ hskp5
    | c1_1(a104)
    | epred47_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_311]),c_0_173]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a107)
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_271]),c_0_313]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ epred22_0
    | ~ epred46_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_315,c_0_314]),c_0_236]),c_0_133]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ epred34_0
    | epred22_0
    | epred43_0
    | epred48_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_316,c_0_317]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp25
    | hskp16
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_116])]) ).

cnf(c_0_422,negated_conjecture,
    ( ~ hskp1
    | c2_1(a98)
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_185]),c_0_320]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp11
    | c3_1(X1)
    | epred36_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_321]),c_0_116])]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ hskp0
    | hskp17
    | c1_1(a97)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_322]),c_0_263]) ).

cnf(c_0_425,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred60_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_323]),c_0_116])]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp20
    | hskp7
    | c2_1(X1)
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_324,c_0_185]) ).

cnf(c_0_427,negated_conjecture,
    ( hskp19
    | hskp18
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_116])]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp13
    | hskp5
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_326,c_0_116])]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp18
    | hskp11
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_327,c_0_116])]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp9
    | hskp6
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_116])]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ hskp19
    | c1_1(a130) ),
    c_0_329 ).

cnf(c_0_432,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp18
    | hskp8
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_116])]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp17
    | hskp9
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_331,c_0_116])]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ hskp19
    | c3_1(a130) ),
    c_0_332 ).

cnf(c_0_435,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp7
    | hskp4
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_116])]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a124) ),
    c_0_334 ).

cnf(c_0_437,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred53_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_335]),c_0_116])]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a121) ),
    c_0_336 ).

cnf(c_0_439,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred46_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_314]),c_0_116])]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp1
    | c1_1(X1)
    | epred37_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_337]),c_0_116])]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp15
    | c0_1(X1)
    | epred35_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_338]),c_0_116])]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp16
    | c3_1(X1)
    | epred34_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_240]),c_0_116])]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ hskp17
    | c2_1(a124) ),
    c_0_339 ).

cnf(c_0_444,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a124) ),
    c_0_340 ).

cnf(c_0_445,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp4
    | c3_1(X1)
    | c1_1(X1)
    | epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_341]),c_0_116])]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ hskp20
    | hskp0
    | epred1_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_278,c_0_342]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ epred14_0
    | ~ epred58_0
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_343,c_0_344]) ).

cnf(c_0_448,negated_conjecture,
    ( epred14_0
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_345,c_0_346]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ hskp6
    | hskp0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ hskp4
    | c1_1(a103)
    | epred59_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_305]),c_0_308]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ hskp27
    | epred10_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_350]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ hskp8
    | hskp27
    | epred3_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ hskp4
    | epred27_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_454,negated_conjecture,
    ( hskp18
    | hskp4
    | epred44_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ hskp11
    | hskp0
    | epred1_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_357]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ hskp1
    | hskp0
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_320]),c_0_358]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ hskp16
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_185]),c_0_360]),c_0_361]) ).

cnf(c_0_458,negated_conjecture,
    ( hskp16
    | hskp8
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a121) ),
    c_0_364 ).

cnf(c_0_460,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a121) ),
    c_0_365 ).

cnf(c_0_461,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred49_0 ),
    inference(split_equiv,[status(thm)],[c_0_366]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a132)
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_185]),c_0_204]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ hskp20
    | c0_1(a132)
    | epred47_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_311]),c_0_205]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred45_0 ),
    inference(split_equiv,[status(thm)],[c_0_367]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ hskp11
    | c2_1(a112)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_206]),c_0_220]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c3_1(X1)
    | epred38_0 ),
    inference(split_equiv,[status(thm)],[c_0_368]) ).

cnf(c_0_467,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_369]),c_0_116])]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred25_0 ),
    inference(split_equiv,[status(thm)],[c_0_370]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a130) ),
    c_0_371 ).

cnf(c_0_470,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a105)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_182]),c_0_267]) ).

cnf(c_0_471,negated_conjecture,
    ( ~ hskp9
    | c1_1(a108) ),
    c_0_372 ).

cnf(c_0_472,negated_conjecture,
    ( ~ hskp9
    | c2_1(a108) ),
    c_0_373 ).

cnf(c_0_473,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a108) ),
    c_0_374 ).

cnf(c_0_474,negated_conjecture,
    ( ~ hskp20
    | hskp17
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_322]),c_0_204]),c_0_205]) ).

cnf(c_0_475,negated_conjecture,
    ( ~ hskp11
    | c2_1(a112)
    | epred50_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_222,c_0_375]) ).

cnf(c_0_476,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a106) ),
    c_0_376 ).

cnf(c_0_477,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_377]) ).

cnf(c_0_478,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | epred40_0
    | epred58_0 ),
    inference(spm,[status(thm)],[c_0_378,c_0_379]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | epred4_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_143,c_0_380]) ).

cnf(c_0_480,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c0_1(X3)
    | c2_1(X2) ),
    c_0_381 ).

cnf(c_0_481,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c1_1(X2) ),
    c_0_382 ).

cnf(c_0_482,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    c_0_383 ).

cnf(c_0_483,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_384 ).

cnf(c_0_484,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_385 ).

cnf(c_0_485,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    c_0_386 ).

cnf(c_0_486,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    c_0_387 ).

cnf(c_0_487,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_388 ).

cnf(c_0_488,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_389 ).

cnf(c_0_489,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | c2_1(X2)
    | c3_1(X1) ),
    c_0_390 ).

cnf(c_0_490,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp15
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_391 ).

cnf(c_0_491,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp0
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_392 ).

cnf(c_0_492,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp10
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    c_0_393 ).

cnf(c_0_493,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    c_0_394 ).

cnf(c_0_494,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp28
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_395 ).

cnf(c_0_495,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp1
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_396 ).

cnf(c_0_496,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_397 ).

cnf(c_0_497,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp10
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_398 ).

cnf(c_0_498,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp15
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_399 ).

cnf(c_0_499,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp17
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_400 ).

cnf(c_0_500,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp27
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_401 ).

cnf(c_0_501,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_402 ).

cnf(c_0_502,negated_conjecture,
    ( ~ hskp18
    | c0_1(a129) ),
    inference(fof_simplification,[status(thm)],[clause62]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ hskp0
    | hskp11
    | c2_1(a97)
    | c3_1(a97)
    | epred14_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_403,c_0_262]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ hskp11
    | epred6_0
    | epred18_0
    | epred51_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_404,c_0_405]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a129)
    | ~ c2_1(a129)
    | epred15_0
    | hskp9
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_406,c_0_407]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a113)
    | hskp6
    | hskp7
    | hskp4
    | c2_1(a113) ),
    inference(spm,[status(thm)],[c_0_408,c_0_409]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a113)
    | hskp6
    | c2_1(a113)
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_409]) ).

cnf(c_0_508,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a113)
    | hskp0
    | hskp7
    | hskp4
    | c2_1(a113) ),
    inference(spm,[status(thm)],[c_0_408,c_0_410]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a104)
    | epred59_0
    | c0_1(a104)
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_143,c_0_411]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ c2_1(a106)
    | ~ hskp7
    | c0_1(a106)
    | epred4_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_380]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ c2_1(a106)
    | ~ hskp7
    | c0_1(a106)
    | epred43_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_144]) ).

cnf(c_0_512,negated_conjecture,
    ( ~ c0_1(a97)
    | ~ hskp0
    | c2_1(a97)
    | epred14_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_413,c_0_185]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ c0_1(a103)
    | ~ c2_1(a103)
    | ~ hskp4
    | epred58_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_414,c_0_379]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ hskp20
    | epred9_0
    | hskp10
    | c1_1(a132)
    | epred24_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_415,c_0_416]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a104)
    | epred47_0
    | c0_1(a104)
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_143,c_0_417]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ hskp8
    | c0_1(a107)
    | c2_1(a107)
    | epred44_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_206]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ epred34_0
    | ~ epred46_0
    | ~ epred47_0
    | epred43_0
    | epred48_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_419,c_0_420]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a98)
    | epred14_0
    | hskp25
    | hskp16
    | c3_1(a98) ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a98)
    | epred14_0
    | hskp11
    | c3_1(a98)
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_423,c_0_422]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a97)
    | hskp17
    | epred5_0
    | hskp20
    | hskp7
    | c2_1(a97) ),
    inference(spm,[status(thm)],[c_0_324,c_0_424]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a97)
    | hskp17
    | epred5_0
    | c2_1(a97)
    | epred60_0 ),
    inference(spm,[status(thm)],[c_0_425,c_0_424]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ hskp8
    | c0_1(a107)
    | c2_1(a107)
    | epred44_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_206]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ hskp0
    | hskp20
    | hskp7
    | c2_1(a97)
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_426,c_0_262]) ).

cnf(c_0_524,negated_conjecture,
    ( ~ hskp20
    | hskp19
    | hskp18
    | c2_1(a132)
    | c1_1(a132) ),
    inference(spm,[status(thm)],[c_0_202,c_0_427]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ hskp8
    | hskp13
    | hskp5
    | c0_1(a107)
    | c2_1(a107) ),
    inference(spm,[status(thm)],[c_0_428,c_0_271]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ hskp0
    | hskp18
    | hskp11
    | c2_1(a97)
    | c3_1(a97) ),
    inference(spm,[status(thm)],[c_0_429,c_0_262]) ).

cnf(c_0_527,negated_conjecture,
    ( ~ hskp7
    | hskp9
    | hskp6
    | c0_1(a106)
    | c1_1(a106) ),
    inference(spm,[status(thm)],[c_0_430,c_0_306]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a105)
    | hskp25
    | hskp16
    | c3_1(a105) ),
    inference(spm,[status(thm)],[c_0_421,c_0_267]) ).

cnf(c_0_529,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a103)
    | hskp25
    | hskp16
    | c3_1(a103) ),
    inference(spm,[status(thm)],[c_0_421,c_0_308]) ).

cnf(c_0_530,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a130)
    | hskp20
    | hskp7
    | c2_1(a130) ),
    inference(spm,[status(thm)],[c_0_324,c_0_431]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a113)
    | hskp20
    | hskp7
    | c2_1(a113) ),
    inference(spm,[status(thm)],[c_0_324,c_0_127]) ).

cnf(c_0_532,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a116)
    | hskp18
    | hskp8
    | c3_1(a116) ),
    inference(spm,[status(thm)],[c_0_432,c_0_155]) ).

cnf(c_0_533,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a106)
    | hskp17
    | hskp9
    | c0_1(a106) ),
    inference(spm,[status(thm)],[c_0_433,c_0_306]) ).

cnf(c_0_534,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a130)
    | hskp7
    | hskp4
    | c2_1(a130) ),
    inference(spm,[status(thm)],[c_0_408,c_0_434]) ).

cnf(c_0_535,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a129)
    | hskp7
    | hskp4
    | c1_1(a129) ),
    inference(spm,[status(thm)],[c_0_435,c_0_300]) ).

cnf(c_0_536,negated_conjecture,
    ( ~ c0_1(a129)
    | ~ c2_1(a129)
    | ~ hskp18
    | epred58_0 ),
    inference(spm,[status(thm)],[c_0_301,c_0_379]) ).

cnf(c_0_537,negated_conjecture,
    ( ~ c0_1(a124)
    | ~ c2_1(a124)
    | ~ hskp17
    | epred58_0 ),
    inference(spm,[status(thm)],[c_0_436,c_0_379]) ).

cnf(c_0_538,negated_conjecture,
    ( ~ c0_1(a98)
    | ~ hskp1
    | c1_1(a98)
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_124]) ).

cnf(c_0_539,negated_conjecture,
    ( ~ c0_1(a97)
    | ~ hskp0
    | c1_1(a97)
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_124]) ).

cnf(c_0_540,negated_conjecture,
    ( ~ hskp25
    | c0_1(a173)
    | c2_1(a173)
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_146,c_0_437]) ).

cnf(c_0_541,negated_conjecture,
    ( ~ hskp15
    | c0_1(a121)
    | c2_1(a121)
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_438,c_0_437]) ).

cnf(c_0_542,negated_conjecture,
    ( ~ hskp20
    | c2_1(a132)
    | c1_1(a132)
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_202,c_0_289]) ).

cnf(c_0_543,negated_conjecture,
    ( ~ hskp11
    | c0_1(a112)
    | c1_1(a112)
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_439,c_0_219]) ).

cnf(c_0_544,negated_conjecture,
    ( ~ c2_1(a124)
    | ~ hskp17
    | c0_1(a124)
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_436,c_0_144]) ).

cnf(c_0_545,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a129)
    | hskp1
    | c1_1(a129)
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_440,c_0_300]) ).

cnf(c_0_546,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a103)
    | hskp11
    | c3_1(a103)
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_423,c_0_308]) ).

cnf(c_0_547,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a106)
    | hskp15
    | c0_1(a106)
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_441,c_0_306]) ).

cnf(c_0_548,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a103)
    | hskp16
    | c3_1(a103)
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_442,c_0_308]) ).

cnf(c_0_549,negated_conjecture,
    ( ~ hskp17
    | hskp1
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_443]),c_0_444]),c_0_436]) ).

cnf(c_0_550,negated_conjecture,
    ( ~ hskp17
    | hskp4
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_443]),c_0_444]),c_0_436]) ).

cnf(c_0_551,negated_conjecture,
    ( ~ hskp13
    | hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_155]),c_0_183]),c_0_181]) ).

cnf(c_0_552,negated_conjecture,
    ( hskp18
    | hskp4
    | epred1_0
    | epred56_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_356]),c_0_353]) ).

cnf(c_0_553,negated_conjecture,
    ( ~ epred58_0
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_447,c_0_448]) ).

cnf(c_0_554,negated_conjecture,
    ( ~ hskp6
    | epred17_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_353,c_0_449]) ).

cnf(c_0_555,negated_conjecture,
    ( ~ hskp17
    | epred59_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_305]),c_0_443]),c_0_436]) ).

cnf(c_0_556,negated_conjecture,
    ( ~ hskp4
    | epred51_0
    | epred59_0 ),
    inference(spm,[status(thm)],[c_0_414,c_0_450]) ).

cnf(c_0_557,negated_conjecture,
    ( ~ hskp8
    | epred3_0
    | epred10_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_451,c_0_452]) ).

cnf(c_0_558,negated_conjecture,
    ( hskp18
    | epred27_0
    | epred44_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_453,c_0_454]) ).

cnf(c_0_559,negated_conjecture,
    ( ~ hskp11
    | epred1_0
    | epred6_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_353,c_0_455]) ).

cnf(c_0_560,negated_conjecture,
    ( ~ hskp1
    | epred27_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_353,c_0_456]) ).

cnf(c_0_561,negated_conjecture,
    ( hskp8
    | epred14_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_457,c_0_458]) ).

cnf(c_0_562,negated_conjecture,
    ( ~ hskp6
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_215]),c_0_267]),c_0_265]) ).

cnf(c_0_563,negated_conjecture,
    ( ~ hskp15
    | hskp10
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_310]),c_0_459]),c_0_460]) ).

cnf(c_0_564,negated_conjecture,
    ( ~ hskp15
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_461]),c_0_459]),c_0_460]) ).

cnf(c_0_565,negated_conjecture,
    ( ~ hskp20
    | epred14_0
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_462,c_0_463]) ).

cnf(c_0_566,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a173)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_464]),c_0_149]) ).

cnf(c_0_567,negated_conjecture,
    ( ~ hskp17
    | c0_1(a124)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_464]),c_0_443]) ).

cnf(c_0_568,negated_conjecture,
    ( ~ hskp5
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_464]),c_0_175]),c_0_173]) ).

cnf(c_0_569,negated_conjecture,
    ( ~ hskp11
    | epred6_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_465]) ).

cnf(c_0_570,negated_conjecture,
    ( ~ hskp13
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_466]),c_0_183]),c_0_155]) ).

cnf(c_0_571,negated_conjecture,
    ( ~ hskp20
    | hskp15
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_467]),c_0_204]),c_0_205]) ).

cnf(c_0_572,negated_conjecture,
    ( ~ hskp19
    | c0_1(a130)
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_434]),c_0_431]) ).

cnf(c_0_573,negated_conjecture,
    ( ~ hskp19
    | c0_1(a130)
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_431]),c_0_469]) ).

cnf(c_0_574,negated_conjecture,
    ( ~ hskp6
    | epred8_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_470,c_0_348]) ).

cnf(c_0_575,negated_conjecture,
    ( ~ hskp9
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_471]),c_0_472]),c_0_473]) ).

cnf(c_0_576,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp4
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_474,c_0_356]) ).

cnf(c_0_577,negated_conjecture,
    ( ~ hskp19
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_434]),c_0_431]),c_0_469]) ).

cnf(c_0_578,negated_conjecture,
    ( ~ hskp4
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_182]),c_0_276]),c_0_308]) ).

cnf(c_0_579,negated_conjecture,
    ( ~ hskp11
    | epred6_0
    | epred50_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_475]) ).

cnf(c_0_580,negated_conjecture,
    ( ~ hskp7
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_306]),c_0_307]),c_0_476]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ hskp17
    | c0_1(a124)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_380]),c_0_443]) ).

cnf(c_0_582,negated_conjecture,
    ( ~ hskp8
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_271]),c_0_313]),c_0_272]) ).

cnf(c_0_583,negated_conjecture,
    ( ~ hskp4
    | epred40_0
    | epred58_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_276]),c_0_308]) ).

cnf(c_0_584,negated_conjecture,
    ( ~ hskp7
    | epred4_0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_479]),c_0_307]) ).

cnf(c_0_585,negated_conjecture,
    ( ~ hskp5
    | epred4_0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_479]),c_0_175]) ).

cnf(c_0_586,negated_conjecture,
    ( ~ epred17_0
    | ~ epred40_0
    | ~ epred60_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_480,c_0_323]),c_0_130]),c_0_290]) ).

cnf(c_0_587,negated_conjecture,
    ( ~ epred57_0
    | ~ epred58_0
    | ~ epred59_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_481,c_0_257]),c_0_230]),c_0_164]) ).

cnf(c_0_588,negated_conjecture,
    ( ~ epred10_0
    | ~ epred55_0
    | ~ epred56_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_482,c_0_117]),c_0_160]),c_0_194]) ).

cnf(c_0_589,negated_conjecture,
    ( ~ epred2_0
    | ~ epred28_0
    | ~ epred54_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_483,c_0_211]),c_0_377]),c_0_237]) ).

cnf(c_0_590,negated_conjecture,
    ( ~ epred6_0
    | ~ epred19_0
    | ~ epred53_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_484,c_0_335]),c_0_118]),c_0_166]) ).

cnf(c_0_591,negated_conjecture,
    ( ~ epred50_0
    | ~ epred51_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_485,c_0_212]),c_0_165]),c_0_208]) ).

cnf(c_0_592,negated_conjecture,
    ( ~ epred2_0
    | ~ epred48_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_486,c_0_115]),c_0_366]),c_0_377]) ).

cnf(c_0_593,negated_conjecture,
    ( ~ epred43_0
    | ~ epred44_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_487,c_0_131]),c_0_163]),c_0_367]) ).

cnf(c_0_594,negated_conjecture,
    ( ~ epred37_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_488,c_0_337]),c_0_368]) ).

cnf(c_0_595,negated_conjecture,
    ( ~ epred10_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_489,c_0_321]),c_0_194]) ).

cnf(c_0_596,negated_conjecture,
    ( ~ epred17_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_490,c_0_338]),c_0_130]) ).

cnf(c_0_597,negated_conjecture,
    ( ~ epred27_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_491,c_0_158]),c_0_199]),c_0_237]) ).

cnf(c_0_598,negated_conjecture,
    ( ~ epred24_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_492,c_0_234]),c_0_370]) ).

cnf(c_0_599,negated_conjecture,
    ( ~ epred21_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_493,c_0_213]),c_0_133]) ).

cnf(c_0_600,negated_conjecture,
    ( ~ epred18_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_494,c_0_169]),c_0_118]) ).

cnf(c_0_601,negated_conjecture,
    ( ~ epred4_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_495,c_0_224]),c_0_291]) ).

cnf(c_0_602,negated_conjecture,
    ( ~ epred13_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_496,c_0_341]),c_0_157]) ).

cnf(c_0_603,negated_conjecture,
    ( ~ epred9_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_497,c_0_235]),c_0_194]) ).

cnf(c_0_604,negated_conjecture,
    ( ~ epred7_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_498,c_0_369]),c_0_153]) ).

cnf(c_0_605,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_499,c_0_247]),c_0_166]) ).

cnf(c_0_606,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_500,c_0_197]),c_0_291]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_501,c_0_179]),c_0_377]) ).

cnf(c_0_608,negated_conjecture,
    ( ~ hskp18
    | c0_1(a129) ),
    c_0_502 ).

cnf(c_0_609,negated_conjecture,
    ( hskp15
    | hskp8
    | hskp19 ),
    clause42 ).

cnf(c_0_610,negated_conjecture,
    ( hskp17
    | hskp19
    | hskp18 ),
    clause36 ).

cnf(c_0_611,negated_conjecture,
    ( hskp8
    | hskp18
    | hskp13 ),
    clause34 ).

cnf(c_0_612,plain,
    $false,
    inference(cdclpropres,[status(thm)],[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_264,c_0_554,c_0_555,c_0_556,c_0_557,c_0_412,c_0_558,c_0_559,c_0_560,c_0_353,c_0_561,c_0_362,c_0_413,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_567,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_573,c_0_176,c_0_156,c_0_574,c_0_575,c_0_348,c_0_457,c_0_576,c_0_474,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_343,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_419,c_0_593,c_0_594,c_0_595,c_0_596,c_0_316,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_274,c_0_263,c_0_319,c_0_358,c_0_277,c_0_173,c_0_266,c_0_476,c_0_272,c_0_313,c_0_222,c_0_220,c_0_460,c_0_459,c_0_301,c_0_469,c_0_205,c_0_204,c_0_149,c_0_181,c_0_129,c_0_127,c_0_308,c_0_175,c_0_307,c_0_443,c_0_300,c_0_262,c_0_320,c_0_276,c_0_128,c_0_183,c_0_608,c_0_609,c_0_610,c_0_356,c_0_611,c_0_113]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYN501-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Mon Sep 21 11:03:11 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.03/0.30  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.33  Running first-order theorem proving
% 0.06/0.33  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/benchmark/theBenchmark.p
% 7.61/1.32  % Version: 3.5.1
% 7.61/1.32  % Preprocessing class: FSLSSLSMSSSNFFN.
% 7.61/1.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.61/1.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 7.61/1.32  % Starting new_bool_3 with 300s (1) cores
% 7.61/1.32  % Starting new_bool_1 with 300s (1) cores
% 7.61/1.32  % Starting sh5l with 300s (1) cores
% 7.61/1.32  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2225563 completed with status 0
% 7.61/1.32  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 7.61/1.32  % Preprocessing class: FSLSSLSMSSSNFFN.
% 7.61/1.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.61/1.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 7.61/1.32  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.61/1.32  % No SInE strategy applied
% 7.61/1.32  % Search class: FGHNF-FSMM00-SFFFFFNN
% 7.61/1.32  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 7.61/1.32  % Starting SubtermCWHack with 151s (1) cores
% 7.61/1.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 7.61/1.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 7.61/1.32  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 7.61/1.32  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 7.61/1.32  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2225569 completed with status 0
% 7.61/1.32  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 7.61/1.32  % Preprocessing class: FSLSSLSMSSSNFFN.
% 7.61/1.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.61/1.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 7.61/1.32  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.61/1.32  % No SInE strategy applied
% 7.61/1.32  % Search class: FGHNF-FSMM00-SFFFFFNN
% 7.61/1.32  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 7.61/1.32  % Starting SubtermCWHack with 151s (1) cores
% 7.61/1.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 7.61/1.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 7.61/1.32  % Preprocessing time       : 0.002 s
% 7.61/1.32  % SatCheck found unsatisfiable ground set
% 7.61/1.32  
% 7.61/1.32  % Proof found!
% 7.61/1.32  % SZS status Unsatisfiable
% 7.61/1.32  % SZS output start CNFRefutation
% See solution above
% 7.61/1.32  % Parsed axioms                        : 199
% 7.61/1.32  % Removed by relevancy pruning/SinE    : 0
% 7.61/1.32  % Initial clauses                      : 199
% 7.61/1.32  % Removed in clause preprocessing      : 0
% 7.61/1.32  % Initial clauses in saturation        : 199
% 7.61/1.32  % Processed clauses                    : 7165
% 7.61/1.32  % ...of these trivial                  : 0
% 7.61/1.32  % ...subsumed                          : 2165
% 7.61/1.32  % ...remaining for further processing  : 5000
% 7.61/1.32  % Other redundant clauses eliminated   : 0
% 7.61/1.32  % Clauses deleted for lack of memory   : 0
% 7.61/1.32  % Backward-subsumed                    : 1154
% 7.61/1.32  % Backward-rewritten                   : 58
% 7.61/1.32  % Generated clauses                    : 47194
% 7.61/1.32  % ...of the previous two non-redundant : 43349
% 7.61/1.32  % ...aggressively subsumed             : 0
% 7.61/1.32  % Contextual simplify-reflections      : 597
% 7.61/1.32  % Paramodulations                      : 47093
% 7.61/1.32  % Factorizations                       : 0
% 7.61/1.32  % NegExts                              : 0
% 7.61/1.32  % Equation resolutions                 : 0
% 7.61/1.32  % Disequality decompositions           : 0
% 7.61/1.32  % Total rewrite steps                  : 93
% 7.61/1.32  % ...of those cached                   : 92
% 7.61/1.32  % Propositional unsat checks           : 1
% 7.61/1.32  %    Propositional check models        : 0
% 7.61/1.32  %    Propositional check unsatisfiable : 1
% 7.61/1.32  %    Propositional clauses             : 39556
% 7.61/1.32  %    Propositional clauses after purity: 38380
% 7.61/1.32  %    Propositional unsat core size     : 156
% 7.61/1.32  %    Propositional preprocessing time  : 0.000
% 7.61/1.32  %    Propositional encoding time       : 0.011
% 7.61/1.32  %    Propositional solver time         : 0.028
% 7.61/1.32  %    Success case prop preproc time    : 0.000
% 7.61/1.32  %    Success case prop encoding time   : 0.011
% 7.61/1.32  %    Success case prop solver time     : 0.028
% 7.61/1.32  % Current number of processed clauses  : 3749
% 7.61/1.32  %    Positive orientable unit clauses  : 1
% 7.61/1.32  %    Positive unorientable unit clauses: 0
% 7.61/1.32  %    Negative unit clauses             : 0
% 7.61/1.32  %    Non-unit-clauses                  : 3748
% 7.61/1.32  % Current number of unprocessed clauses: 35807
% 7.61/1.32  % ...number of literals in the above   : 237010
% 7.61/1.32  % Current number of archived formulas  : 0
% 7.61/1.32  % Current number of archived clauses   : 1212
% 7.61/1.32  % Clause-clause subsumption calls (NU) : 4814972
% 7.61/1.32  % Rec. Clause-clause subsumption calls : 334174
% 7.61/1.32  % Non-unit clause-clause subsumptions  : 3976
% 7.61/1.32  % Unit Clause-clause subsumption calls : 6
% 7.61/1.32  % Rewrite failures with RHS unbound    : 0
% 7.61/1.32  % BW rewrite match attempts            : 1
% 7.61/1.32  % BW rewrite match successes           : 1
% 7.61/1.32  % Condensation attempts                : 7165
% 7.61/1.32  % Condensation successes               : 0
% 7.61/1.32  % Termbank termtop insertions          : 446034
% 7.61/1.32  % Search garbage collected termcells   : 499
% 7.61/1.32  
% 7.61/1.32  % -------------------------------------------------
% 7.61/1.32  % User time                : 0.949 s
% 7.61/1.32  % System time              : 0.025 s
% 7.61/1.32  % Total time               : 0.974 s
% 7.61/1.32  % Maximum resident set size: 4048 pages
% 7.61/1.32  
% 7.61/1.32  % -------------------------------------------------
% 7.61/1.32  % User time                : 4.698 s
% 7.61/1.32  % System time              : 0.123 s
% 7.61/1.32  % Total time               : 4.821 s
% 7.61/1.32  % Maximum resident set size: 4864 pages
% 7.61/1.32  % E exiting
%------------------------------------------------------------------------------