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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN455-1 : 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 : n020.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 03:24:32 PM UTC 2026

% Result   : Unsatisfiable 22.31s 3.32s
% Output   : CNFRefutation 22.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  157
% Syntax   : Number of formulae    :  671 (   2 unt;   0 def)
%            Number of atoms       : 2595 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3138 (1214   ~;1888   |;   0   &)
%                                         (  36 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   68 (  67 usr;  64 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  308 (   0 sgn  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause5,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(clause10,negated_conjecture,
    ( ~ hskp21
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

cnf(clause26,negated_conjecture,
    ( ~ hskp5
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

cnf(clause158,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp12
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

cnf(clause32,negated_conjecture,
    ( hskp21
    | hskp5
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

cnf(clause151,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | hskp5
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

cnf(clause42,negated_conjecture,
    ( ~ hskp28
    | c1_1(a916) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(clause43,negated_conjecture,
    ( ~ hskp28
    | c3_1(a916) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

cnf(clause64,negated_conjecture,
    ( ~ hskp12
    | c1_1(a917) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(clause65,negated_conjecture,
    ( ~ hskp12
    | c3_1(a917) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(clause107,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a917) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(clause141,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp28
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

cnf(clause48,negated_conjecture,
    ( ~ hskp26
    | c1_1(a979) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(clause47,negated_conjecture,
    ( ~ hskp26
    | c0_1(a979) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(clause82,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a979) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

cnf(clause67,negated_conjecture,
    ( ~ hskp11
    | c3_1(a914) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(clause66,negated_conjecture,
    ( ~ hskp11
    | c0_1(a914) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(clause108,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a914) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(clause50,negated_conjecture,
    ( ~ hskp25
    | c3_1(a960) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(clause49,negated_conjecture,
    ( ~ hskp25
    | c0_1(a960) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(clause83,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a960) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(clause148,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp13
    | hskp7
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

cnf(clause145,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | hskp3
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

cnf(clause69,negated_conjecture,
    ( ~ hskp10
    | c2_1(a912) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(clause109,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a912) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(clause63,negated_conjecture,
    ( ~ hskp13
    | c2_1(a921) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(clause105,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a921) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

cnf(clause106,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a921) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(clause153,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp21
    | hskp10
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

cnf(clause157,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp15
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

cnf(clause78,negated_conjecture,
    ( ~ hskp3
    | c0_1(a904) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(clause120,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a904) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(clause121,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a904) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(clause68,negated_conjecture,
    ( ~ hskp10
    | c1_1(a912) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(clause70,negated_conjecture,
    ( ~ hskp9
    | c2_1(a910) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(clause111,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a910) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(clause110,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a910) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(clause76,negated_conjecture,
    ( ~ hskp5
    | c2_1(a906) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(clause75,negated_conjecture,
    ( ~ hskp5
    | c0_1(a906) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(clause117,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a906) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(clause129,negated_conjecture,
    ( ~ ndr1_0
    | hskp10
    | hskp27
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

cnf(clause152,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp21
    | hskp25
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

cnf(clause136,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp0
    | hskp2
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

cnf(clause146,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | hskp7
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

cnf(clause61,negated_conjecture,
    ( ~ hskp15
    | c2_1(a924) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

cnf(clause101,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a924) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(clause45,negated_conjecture,
    ( ~ hskp27
    | c2_1(a900) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

cnf(clause46,negated_conjecture,
    ( ~ hskp27
    | c3_1(a900) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

cnf(clause44,negated_conjecture,
    ( ~ hskp27
    | c1_1(a900) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(clause51,negated_conjecture,
    ( ~ hskp23
    | c1_1(a954) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(clause52,negated_conjecture,
    ( ~ hskp23
    | c3_1(a954) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(clause87,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a954) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(clause132,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | hskp3
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

cnf(clause102,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a924) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(clause154,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | hskp27
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

cnf(clause90,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a946) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

cnf(clause89,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a946) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

cnf(clause91,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a946) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(clause72,negated_conjecture,
    ( ~ hskp7
    | c1_1(a908) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(clause114,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a908) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(clause115,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a908) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(clause81,negated_conjecture,
    ( ~ hskp1
    | c2_1(a902) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(clause80,negated_conjecture,
    ( ~ hskp1
    | c0_1(a902) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(clause124,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a902) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(clause126,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a901) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(clause127,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a901) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(clause125,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a901) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(clause122,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a903) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(clause79,negated_conjecture,
    ( ~ hskp2
    | c0_1(a903) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(clause123,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a903) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(clause41,negated_conjecture,
    ( ~ hskp28
    | c0_1(a916) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(clause74,negated_conjecture,
    ( ~ hskp6
    | c1_1(a907) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(clause116,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a907) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(clause73,negated_conjecture,
    ( ~ hskp6
    | c0_1(a907) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(clause71,negated_conjecture,
    ( ~ hskp8
    | c1_1(a909) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(clause113,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a909) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(clause142,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp14
    | hskp6
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

cnf(clause97,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a936) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(clause98,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a936) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(clause135,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp12
    | hskp28
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

cnf(clause143,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp23
    | hskp1
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

cnf(clause137,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | hskp12
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

cnf(clause133,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp7
    | hskp6
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

cnf(clause149,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | hskp30
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

cnf(clause62,negated_conjecture,
    ( ~ hskp14
    | c3_1(a923) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(clause103,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a923) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(clause104,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a923) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(clause36,negated_conjecture,
    ( ~ hskp30
    | c1_1(a942) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(clause37,negated_conjecture,
    ( ~ hskp30
    | c2_1(a942) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(clause35,negated_conjecture,
    ( ~ hskp30
    | c0_1(a942) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(clause99,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a936) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(clause34,negated_conjecture,
    ( hskp21
    | hskp13
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(clause77,negated_conjecture,
    ( ~ hskp4
    | c3_1(a905) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(clause119,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a905) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(clause118,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a905) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

cnf(clause85,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a959) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(clause84,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a959) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(clause86,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a959) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(clause93,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a939) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(clause55,negated_conjecture,
    ( ~ hskp20
    | c0_1(a939) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(clause184,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

cnf(clause183,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

cnf(clause182,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

cnf(clause181,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

cnf(clause180,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

cnf(clause179,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

cnf(clause176,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

cnf(clause178,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

cnf(clause173,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

cnf(clause170,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

cnf(clause172,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c3_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

cnf(clause171,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp15
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

cnf(clause175,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | c2_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

cnf(clause169,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

cnf(clause167,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp21
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

cnf(clause166,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp27
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

cnf(clause162,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp8
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

cnf(clause160,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp27
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

cnf(clause159,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

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

cnf(clause33,negated_conjecture,
    ( hskp4
    | hskp14
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

cnf(c_0_121,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause5]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ hskp21
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause10]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ hskp5
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause26]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp12
    | hskp11 ),
    inference(fof_simplification,[status(thm)],[clause158]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    c_0_121 ).

cnf(c_0_126,negated_conjecture,
    ( hskp21
    | hskp5
    | hskp26 ),
    clause32 ).

cnf(c_0_127,negated_conjecture,
    ( ~ hskp21
    | ndr1_0 ),
    c_0_122 ).

cnf(c_0_128,negated_conjecture,
    ( ~ hskp5
    | ndr1_0 ),
    c_0_123 ).

cnf(c_0_129,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | hskp5
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause151]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp12
    | hskp11 ),
    c_0_124 ).

cnf(c_0_131,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),c_0_128]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ hskp28
    | c1_1(a916) ),
    inference(fof_simplification,[status(thm)],[clause42]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ hskp28
    | c3_1(a916) ),
    inference(fof_simplification,[status(thm)],[clause43]) ).

fof(c_0_134,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_135,negated_conjecture,
    ( ~ hskp12
    | c1_1(a917) ),
    inference(fof_simplification,[status(thm)],[clause64]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ hskp12
    | c3_1(a917) ),
    inference(fof_simplification,[status(thm)],[clause65]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a917) ),
    inference(fof_simplification,[status(thm)],[clause107]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp28
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause141]) ).

fof(c_0_139,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp25 ) ),
    introduced(definition) ).

cnf(c_0_140,negated_conjecture,
    ( ~ hskp26
    | c1_1(a979) ),
    inference(fof_simplification,[status(thm)],[clause48]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ hskp26
    | c0_1(a979) ),
    inference(fof_simplification,[status(thm)],[clause47]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a979) ),
    inference(fof_simplification,[status(thm)],[clause82]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | hskp5
    | c2_1(X1) ),
    c_0_129 ).

cnf(c_0_144,negated_conjecture,
    ( ~ hskp11
    | c3_1(a914) ),
    inference(fof_simplification,[status(thm)],[clause67]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ hskp11
    | c0_1(a914) ),
    inference(fof_simplification,[status(thm)],[clause66]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a914) ),
    inference(fof_simplification,[status(thm)],[clause108]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp12
    | hskp11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp28
    | c1_1(a916) ),
    c_0_132 ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp28
    | c3_1(a916) ),
    c_0_133 ).

cnf(c_0_150,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_134]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ hskp12
    | c1_1(a917) ),
    c_0_135 ).

cnf(c_0_152,negated_conjecture,
    ( ~ hskp12
    | c3_1(a917) ),
    c_0_136 ).

cnf(c_0_153,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a917) ),
    c_0_137 ).

cnf(c_0_154,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp28
    | c1_1(X1) ),
    c_0_138 ).

cnf(c_0_155,negated_conjecture,
    ( ~ hskp25
    | c3_1(a960) ),
    inference(fof_simplification,[status(thm)],[clause50]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ hskp25
    | c0_1(a960) ),
    inference(fof_simplification,[status(thm)],[clause49]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a960) ),
    inference(fof_simplification,[status(thm)],[clause83]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp25
    | c3_1(X1)
    | epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_139]),c_0_131])]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp26
    | c1_1(a979) ),
    c_0_140 ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp26
    | c0_1(a979) ),
    c_0_141 ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a979) ),
    c_0_142 ).

cnf(c_0_162,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp13
    | hskp7
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause148]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | hskp3
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause145]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp7
    | hskp5
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_131])]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ hskp11
    | c3_1(a914) ),
    c_0_144 ).

cnf(c_0_166,negated_conjecture,
    ( ~ hskp11
    | c0_1(a914) ),
    c_0_145 ).

cnf(c_0_167,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a914) ),
    c_0_146 ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp28
    | ~ c2_1(a916)
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp28
    | c2_1(a916)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_148]),c_0_149]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp12
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_153]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp28
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_131])]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp25
    | c3_1(a960) ),
    c_0_155 ).

cnf(c_0_173,negated_conjecture,
    ( ~ hskp25
    | c0_1(a960) ),
    c_0_156 ).

cnf(c_0_174,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a960) ),
    c_0_157 ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp26
    | hskp25
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]),c_0_161]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp13
    | hskp7
    | c0_1(X1) ),
    c_0_162 ).

cnf(c_0_177,negated_conjecture,
    ( ~ hskp10
    | c2_1(a912) ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a912) ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

fof(c_0_179,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp13
    | c2_1(a921) ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a921) ),
    inference(fof_simplification,[status(thm)],[clause105]) ).

cnf(c_0_182,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a921) ),
    inference(fof_simplification,[status(thm)],[clause106]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp21
    | hskp10
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause153]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp15
    | hskp23 ),
    inference(fof_simplification,[status(thm)],[clause157]) ).

fof(c_0_185,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c1_1(X2)
        | hskp15 ) ),
    introduced(definition) ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp3
    | c0_1(a904) ),
    inference(fof_simplification,[status(thm)],[clause78]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a904) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a904) ),
    inference(fof_simplification,[status(thm)],[clause121]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | hskp3
    | c0_1(X1) ),
    c_0_163 ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp10
    | c1_1(a912) ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

fof(c_0_191,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp9
    | c2_1(a910) ),
    inference(fof_simplification,[status(thm)],[clause70]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a910) ),
    inference(fof_simplification,[status(thm)],[clause111]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a910) ),
    inference(fof_simplification,[status(thm)],[clause110]) ).

fof(c_0_195,plain,
    ( ~ epred34_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c1_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_196,negated_conjecture,
    ( ~ hskp5
    | c2_1(a906) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp5
    | c0_1(a906) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a906) ),
    inference(fof_simplification,[status(thm)],[clause117]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ hskp11
    | hskp7
    | hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]),c_0_167]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp28
    | hskp11
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp25
    | hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]),c_0_174]) ).

cnf(c_0_202,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp5
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_126]) ).

fof(c_0_203,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_204,negated_conjecture,
    ( ~ ndr1_0
    | hskp10
    | hskp27
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause129]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp21
    | hskp25
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause152]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp0
    | hskp2
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause136]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | hskp7
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause146]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp13
    | hskp7
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_131])]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp10
    | c2_1(a912) ),
    c_0_177 ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a912) ),
    c_0_178 ).

cnf(c_0_211,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred36_0 ),
    inference(split_equiv,[status(thm)],[c_0_179]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ hskp13
    | c2_1(a921) ),
    c_0_180 ).

cnf(c_0_213,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a921) ),
    c_0_181 ).

cnf(c_0_214,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a921) ),
    c_0_182 ).

cnf(c_0_215,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp21
    | hskp10
    | c2_1(X1) ),
    c_0_183 ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp15
    | c2_1(a924) ),
    inference(fof_simplification,[status(thm)],[clause61]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a924) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp15
    | hskp23 ),
    c_0_184 ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp27
    | c2_1(a900) ),
    inference(fof_simplification,[status(thm)],[clause45]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp27
    | c3_1(a900) ),
    inference(fof_simplification,[status(thm)],[clause46]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ hskp27
    | c1_1(a900) ),
    inference(fof_simplification,[status(thm)],[clause44]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp23
    | c1_1(a954) ),
    inference(fof_simplification,[status(thm)],[clause51]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp23
    | c3_1(a954) ),
    inference(fof_simplification,[status(thm)],[clause52]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a954) ),
    inference(fof_simplification,[status(thm)],[clause87]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | hskp3
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a924) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

fof(c_0_227,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_228,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp15
    | c1_1(X1)
    | c2_1(X1)
    | epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_185]),c_0_131])]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ hskp3
    | c0_1(a904) ),
    c_0_186 ).

cnf(c_0_230,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a904) ),
    c_0_187 ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a904) ),
    c_0_188 ).

cnf(c_0_232,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp13
    | hskp3
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_131])]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp10
    | c1_1(a912) ),
    c_0_190 ).

cnf(c_0_234,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | hskp27
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause154]) ).

cnf(c_0_235,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred42_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_191]),c_0_131])]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp9
    | c2_1(a910) ),
    c_0_192 ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a910) ),
    c_0_193 ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a910) ),
    c_0_194 ).

cnf(c_0_239,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred34_0 ),
    inference(split_equiv,[status(thm)],[c_0_195]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a946) ),
    inference(fof_simplification,[status(thm)],[clause90]) ).

fof(c_0_241,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | hskp9 ) ),
    introduced(definition) ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a946) ),
    inference(fof_simplification,[status(thm)],[clause89]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a946) ),
    inference(fof_simplification,[status(thm)],[clause91]) ).

fof(c_0_244,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp21 ) ),
    introduced(definition) ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp7
    | c1_1(a908) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a908) ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a908) ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp5
    | c2_1(a906) ),
    c_0_196 ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp5
    | c0_1(a906) ),
    c_0_197 ).

cnf(c_0_250,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a906) ),
    c_0_198 ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp28
    | hskp7
    | hskp5
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_252,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp5
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

fof(c_0_253,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_254,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_255,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_203]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ ndr1_0
    | hskp10
    | hskp27
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_204 ).

cnf(c_0_257,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp21
    | hskp25
    | c2_1(X1) ),
    c_0_205 ).

fof(c_0_258,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp1
    | c2_1(a902) ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ hskp1
    | c0_1(a902) ),
    inference(fof_simplification,[status(thm)],[clause80]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a902) ),
    inference(fof_simplification,[status(thm)],[clause124]) ).

fof(c_0_262,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | hskp1 ) ),
    introduced(definition) ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a901) ),
    inference(fof_simplification,[status(thm)],[clause126]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a901) ),
    inference(fof_simplification,[status(thm)],[clause127]) ).

fof(c_0_265,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_266,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a901) ),
    inference(fof_simplification,[status(thm)],[clause125]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a903) ),
    inference(fof_simplification,[status(thm)],[clause122]) ).

fof(c_0_268,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp2
    | c0_1(a903) ),
    inference(fof_simplification,[status(thm)],[clause79]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a903) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp0
    | hskp2
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_206 ).

fof(c_0_272,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_273,negated_conjecture,
    ( ~ hskp28
    | c0_1(a916) ),
    inference(fof_simplification,[status(thm)],[clause41]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ hskp6
    | c1_1(a907) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a907) ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

fof(c_0_276,plain,
    ( ~ epred43_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_277,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | hskp7
    | c0_1(X1) ),
    c_0_207 ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a912)
    | hskp13
    | hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp10
    | c3_1(a912)
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_209]),c_0_210]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp13
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213]),c_0_214]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp21
    | hskp10
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_131])]) ).

fof(c_0_282,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_283,negated_conjecture,
    ( ~ hskp15
    | c2_1(a924) ),
    c_0_216 ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a924) ),
    c_0_217 ).

cnf(c_0_285,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp23
    | hskp15 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_131])]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp27
    | c2_1(a900) ),
    c_0_219 ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp27
    | c3_1(a900) ),
    c_0_220 ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp27
    | c1_1(a900) ),
    c_0_221 ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp23
    | c1_1(a954) ),
    c_0_222 ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp23
    | c3_1(a954) ),
    c_0_223 ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a954) ),
    c_0_224 ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp6
    | c0_1(a907) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp8
    | c1_1(a909) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a909) ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

fof(c_0_295,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_296,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | hskp3
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_225 ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a924) ),
    c_0_226 ).

cnf(c_0_298,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred41_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_227]),c_0_131])]) ).

cnf(c_0_299,negated_conjecture,
    ( ~ hskp3
    | hskp15
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]),c_0_231]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ hskp10
    | hskp13
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_209]),c_0_210]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | hskp27
    | c3_1(X1) ),
    c_0_234 ).

fof(c_0_302,plain,
    ( ~ epred13_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_303,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a910)
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ hskp9
    | c0_1(a910)
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_237]) ).

cnf(c_0_305,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a946) ),
    c_0_240 ).

cnf(c_0_306,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_241]),c_0_131])]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a946) ),
    c_0_242 ).

cnf(c_0_308,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a946) ),
    c_0_243 ).

cnf(c_0_309,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp21
    | c2_1(X1)
    | c3_1(X1)
    | epred15_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_244]),c_0_131])]) ).

cnf(c_0_310,negated_conjecture,
    ( ~ hskp7
    | c1_1(a908) ),
    c_0_245 ).

cnf(c_0_311,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a908) ),
    c_0_246 ).

cnf(c_0_312,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a908) ),
    c_0_247 ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp5
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_248]),c_0_249]),c_0_250]) ).

cnf(c_0_314,negated_conjecture,
    ( hskp21
    | hskp7
    | hskp5
    | epred2_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

fof(c_0_315,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2)
        | hskp9 ) ),
    introduced(definition) ).

fof(c_0_316,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp27 ) ),
    introduced(definition) ).

fof(c_0_317,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c2_1(X2)
        | c1_1(X2)
        | c0_1(X2)
        | hskp27 ) ),
    introduced(definition) ).

cnf(c_0_318,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred39_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_253]),c_0_131])]) ).

cnf(c_0_319,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred35_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_254]),c_0_131])]) ).

fof(c_0_320,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_321,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_322,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a912)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_233]),c_0_210]) ).

cnf(c_0_323,negated_conjecture,
    ( hskp27
    | hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_131])]) ).

cnf(c_0_324,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp14
    | hskp6
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause142]) ).

cnf(c_0_325,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a936) ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a936) ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

fof(c_0_327,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_328,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp12
    | hskp28
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause135]) ).

cnf(c_0_329,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp23
    | hskp1
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause143]) ).

cnf(c_0_330,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | hskp12
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause137]) ).

cnf(c_0_331,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp7
    | hskp6
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause133]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp25
    | hskp21
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_131])]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred27_0 ),
    inference(split_equiv,[status(thm)],[c_0_258]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ hskp1
    | c2_1(a902) ),
    c_0_259 ).

cnf(c_0_335,negated_conjecture,
    ( ~ hskp1
    | c0_1(a902) ),
    c_0_260 ).

cnf(c_0_336,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a902) ),
    c_0_261 ).

cnf(c_0_337,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp1
    | c1_1(X1)
    | epred31_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_262]),c_0_131])]) ).

cnf(c_0_338,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a901) ),
    c_0_263 ).

cnf(c_0_339,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a901) ),
    c_0_264 ).

cnf(c_0_340,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred9_0 ),
    inference(split_equiv,[status(thm)],[c_0_265]) ).

cnf(c_0_341,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a901) ),
    c_0_266 ).

cnf(c_0_342,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a903) ),
    c_0_267 ).

cnf(c_0_343,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred19_0 ),
    inference(split_equiv,[status(thm)],[c_0_268]) ).

cnf(c_0_344,negated_conjecture,
    ( ~ hskp2
    | c0_1(a903) ),
    c_0_269 ).

cnf(c_0_345,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a903) ),
    c_0_270 ).

cnf(c_0_346,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp2
    | hskp0
    | c0_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_131])]) ).

cnf(c_0_347,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred23_0 ),
    inference(split_equiv,[status(thm)],[c_0_272]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ hskp28
    | c0_1(a916) ),
    c_0_273 ).

cnf(c_0_349,negated_conjecture,
    ( ~ hskp6
    | c1_1(a907) ),
    c_0_274 ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a907) ),
    c_0_275 ).

cnf(c_0_351,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred43_0 ),
    inference(split_equiv,[status(thm)],[c_0_276]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | hskp30
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause149]) ).

fof(c_0_353,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c0_1(X2)
        | hskp5 ) ),
    introduced(definition) ).

cnf(c_0_354,negated_conjecture,
    ( ~ hskp14
    | c3_1(a923) ),
    inference(fof_simplification,[status(thm)],[clause62]) ).

cnf(c_0_355,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a923) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a923) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_357,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp14
    | hskp7
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_131])]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ hskp10
    | hskp7
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp12
    | hskp21
    | hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_151]),c_0_152]),c_0_153]) ).

fof(c_0_360,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_361,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | epred25_0 ),
    inference(split_equiv,[status(thm)],[c_0_282]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a924)
    | hskp13
    | hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_283]),c_0_284]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ hskp15
    | c3_1(a924)
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_283]),c_0_284]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a900)
    | hskp23
    | hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_287]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ hskp27
    | c0_1(a900)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_288]),c_0_287]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ hskp23
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_289]),c_0_290]),c_0_291]) ).

fof(c_0_367,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_368,negated_conjecture,
    ( ~ hskp30
    | c1_1(a942) ),
    inference(fof_simplification,[status(thm)],[clause36]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ hskp30
    | c2_1(a942) ),
    inference(fof_simplification,[status(thm)],[clause37]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp30
    | c0_1(a942) ),
    inference(fof_simplification,[status(thm)],[clause35]) ).

fof(c_0_371,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp6
    | c0_1(a907) ),
    c_0_292 ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp8
    | c1_1(a909) ),
    c_0_293 ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a909) ),
    c_0_294 ).

cnf(c_0_375,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_295]),c_0_131])]) ).

fof(c_0_376,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | hskp8 ) ),
    introduced(definition) ).

cnf(c_0_377,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a936) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp4
    | hskp3
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_131])]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp28
    | hskp21
    | hskp10
    | c2_1(a916) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_148]),c_0_149]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ hskp15
    | c3_1(a924)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_283]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ hskp10
    | hskp15
    | hskp13
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_299,c_0_300]) ).

cnf(c_0_382,negated_conjecture,
    ( hskp21
    | hskp13
    | hskp12 ),
    clause34 ).

cnf(c_0_383,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp27
    | hskp13
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_131])]) ).

cnf(c_0_384,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred13_0 ),
    inference(split_equiv,[status(thm)],[c_0_302]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ hskp4
    | c3_1(a905) ),
    inference(fof_simplification,[status(thm)],[clause77]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ hskp9
    | epred34_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_303,c_0_304]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ hskp21
    | hskp9
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]),c_0_308]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ hskp7
    | hskp21
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311]),c_0_312]) ).

cnf(c_0_389,negated_conjecture,
    ( hskp21
    | hskp7
    | epred2_0
    | epred20_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

fof(c_0_390,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_391,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp9
    | c1_1(X1)
    | c3_1(X1)
    | epred26_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_315]),c_0_131])]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp27
    | c2_1(X1)
    | c3_1(X1)
    | epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_316]),c_0_131])]) ).

cnf(c_0_393,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_317]),c_0_131])]) ).

cnf(c_0_394,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred35_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_318,c_0_319]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred32_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_320]),c_0_131])]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred11_0 ),
    inference(split_equiv,[status(thm)],[c_0_321]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ hskp10
    | epred6_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_322,c_0_279]) ).

cnf(c_0_398,negated_conjecture,
    ( hskp27
    | hskp10
    | c0_1(X1)
    | c3_1(X1)
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_211,c_0_323]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a905) ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

cnf(c_0_400,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp14
    | hskp6
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_324 ).

cnf(c_0_401,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a936) ),
    c_0_325 ).

cnf(c_0_402,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a936) ),
    c_0_326 ).

cnf(c_0_403,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_327]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp12
    | hskp28
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_328 ).

cnf(c_0_405,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp23
    | hskp1
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_329 ).

cnf(c_0_406,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | hskp12
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_330 ).

cnf(c_0_407,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp7
    | hskp6
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_331 ).

cnf(c_0_408,negated_conjecture,
    ( ~ hskp28
    | hskp25
    | hskp21
    | c2_1(a916) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_148]),c_0_149]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ hskp12
    | hskp25
    | hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_151]),c_0_152]),c_0_153]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a902)
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_335]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ hskp1
    | c3_1(a902)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_298]),c_0_334]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp25
    | hskp1
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_172]),c_0_173]),c_0_174]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a901)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_298]),c_0_339]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp0
    | c2_1(a901)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_340]),c_0_341]) ).

cnf(c_0_415,negated_conjecture,
    ( ~ hskp2
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_344]),c_0_345]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ hskp13
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_212]),c_0_213]),c_0_214]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ hskp28
    | ~ c2_1(a916)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_148]),c_0_149]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ hskp28
    | hskp7
    | hskp5
    | c2_1(a916) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_149]),c_0_348]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a907)
    | hskp25
    | hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_349]),c_0_350]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ hskp6
    | c3_1(a907)
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_349]),c_0_350]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | hskp30
    | c2_1(X1) ),
    c_0_352 ).

cnf(c_0_422,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp5
    | c0_1(X1)
    | c1_1(X1)
    | epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_353]),c_0_131])]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ hskp14
    | c3_1(a923) ),
    c_0_354 ).

cnf(c_0_424,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a923) ),
    c_0_355 ).

cnf(c_0_425,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a923) ),
    c_0_356 ).

cnf(c_0_426,negated_conjecture,
    ( ~ hskp10
    | hskp14
    | hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_233]),c_0_209]),c_0_210]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ hskp12
    | hskp21
    | hskp7
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | epred37_0 ),
    inference(split_equiv,[status(thm)],[c_0_360]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a900)
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_288]),c_0_287]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ hskp27
    | hskp14
    | hskp7
    | c0_1(a900) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_288]),c_0_286]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ hskp15
    | hskp7
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_280]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ hskp27
    | hskp15
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_366]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_367]),c_0_131])]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ hskp30
    | c1_1(a942) ),
    c_0_368 ).

cnf(c_0_435,negated_conjecture,
    ( ~ hskp30
    | c2_1(a942) ),
    c_0_369 ).

cnf(c_0_436,negated_conjecture,
    ( ~ hskp30
    | c0_1(a942) ),
    c_0_370 ).

cnf(c_0_437,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred21_0 ),
    inference(split_equiv,[status(thm)],[c_0_371]) ).

fof(c_0_438,plain,
    ( ~ epred29_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_439,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a907)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_349]),c_0_350]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ hskp6
    | hskp25
    | c3_1(a907)
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_349]),c_0_372]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a909)
    | epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_373]),c_0_374]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ hskp8
    | c2_1(a909)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_373]),c_0_374]) ).

cnf(c_0_443,negated_conjecture,
    ( hskp8
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_376]),c_0_131])]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a905) ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

cnf(c_0_445,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a936) ),
    c_0_377 ).

fof(c_0_446,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_447,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_448,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a959) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a959) ),
    inference(fof_simplification,[status(thm)],[clause84]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a959) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a939) ),
    inference(fof_simplification,[status(thm)],[clause93]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ hskp20
    | c0_1(a939) ),
    inference(fof_simplification,[status(thm)],[clause55]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause184]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause183]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause182]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause181]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause180]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause179]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause176]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause178]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause170]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c3_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp15
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause171]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | c2_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause175]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause169]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp21
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause167]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp27
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause166]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp8
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause162]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp27
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause160]) ).

cnf(c_0_471,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause159]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause163]) ).

cnf(c_0_473,negated_conjecture,
    ( ~ hskp13
    | hskp4
    | hskp3
    | c1_1(a921) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_212]),c_0_213]) ).

cnf(c_0_474,negated_conjecture,
    ( ~ hskp28
    | hskp21
    | hskp11
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_379]),c_0_359]) ).

cnf(c_0_475,negated_conjecture,
    ( ~ hskp15
    | hskp13
    | hskp7
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_380]) ).

cnf(c_0_476,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp13
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_359]),c_0_382]) ).

cnf(c_0_477,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp27
    | hskp13
    | c3_1(X1)
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_383,c_0_384]) ).

cnf(c_0_478,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp21
    | hskp10
    | c0_1(X1)
    | c2_1(X1)
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_340]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ hskp4
    | c3_1(a905) ),
    c_0_385 ).

cnf(c_0_480,negated_conjecture,
    ( ~ hskp21
    | epred3_0
    | epred34_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_386,c_0_387]) ).

cnf(c_0_481,negated_conjecture,
    ( hskp21
    | epred2_0
    | epred15_0
    | epred20_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_388,c_0_389]) ).

cnf(c_0_482,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c3_1(X1)
    | epred18_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_390]),c_0_131])]) ).

cnf(c_0_483,negated_conjecture,
    ( ~ hskp5
    | hskp9
    | c1_1(a906)
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_249]),c_0_250]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ hskp11
    | hskp15
    | c1_1(a914)
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_166]),c_0_167]) ).

cnf(c_0_485,negated_conjecture,
    ( hskp21
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred9_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_309,c_0_340]) ).

cnf(c_0_486,negated_conjecture,
    ( ~ hskp6
    | hskp21
    | c3_1(a907)
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_349]),c_0_350]) ).

cnf(c_0_487,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred5_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_488,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | epred32_0
    | epred35_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_394,c_0_395]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | epred11_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_361,c_0_396]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ hskp6
    | hskp27
    | c3_1(a907)
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_349]),c_0_350]) ).

cnf(c_0_491,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred5_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_393]) ).

cnf(c_0_492,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred1_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_393]) ).

cnf(c_0_493,negated_conjecture,
    ( ~ hskp11
    | hskp28
    | c1_1(a914) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_165]),c_0_166]) ).

cnf(c_0_494,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred34_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_239]) ).

cnf(c_0_495,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred9_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_340]) ).

cnf(c_0_496,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | epred6_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_397,c_0_398]) ).

cnf(c_0_497,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred1_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_239]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred2_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_396]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a905) ),
    c_0_399 ).

cnf(c_0_500,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred2_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_340]) ).

cnf(c_0_501,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred1_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_340]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp14
    | hskp6
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_400,c_0_131])]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ hskp17
    | c0_1(a936)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_340]),c_0_402]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred2_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_403]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ hskp6
    | c3_1(a907)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_349]),c_0_350]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp28
    | hskp12
    | c0_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_404,c_0_131])]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp23
    | hskp1
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_131])]) ).

cnf(c_0_508,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp17
    | hskp12
    | c1_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_131])]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp7
    | hskp6
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_407,c_0_131])]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ hskp25
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_396]),c_0_173]),c_0_172]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ hskp28
    | hskp25
    | hskp21
    | hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_408]),c_0_409]) ).

cnf(c_0_512,negated_conjecture,
    ( ~ hskp1
    | epred27_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_410,c_0_411]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ hskp12
    | hskp21
    | hskp1
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_409]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ hskp0
    | epred9_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_413,c_0_414]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ hskp13
    | hskp0
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_415,c_0_416]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ hskp28
    | hskp7
    | hskp5
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_417,c_0_418]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ hskp12
    | hskp28
    | hskp21 ),
    inference(spm,[status(thm)],[c_0_201,c_0_409]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ hskp6
    | hskp25
    | hskp21
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_419,c_0_420]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp30
    | hskp24
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_421,c_0_131])]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ hskp14
    | hskp5
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_424]),c_0_425]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ hskp12
    | hskp21
    | hskp14
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_426,c_0_359]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ hskp28
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_148]),c_0_348]),c_0_149]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ hskp7
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_310]),c_0_311]),c_0_312]) ).

cnf(c_0_524,negated_conjecture,
    ( hskp21
    | hskp7
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_382]),c_0_280]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ hskp10
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_233]),c_0_209]),c_0_210]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a907)
    | hskp21
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_349]),c_0_350]) ).

cnf(c_0_527,negated_conjecture,
    ( ~ hskp27
    | hskp14
    | hskp7
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_429,c_0_430]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ hskp27
    | hskp7
    | epred6_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_431,c_0_432]) ).

cnf(c_0_529,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a917)
    | hskp7
    | hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_152]),c_0_153]) ).

cnf(c_0_530,negated_conjecture,
    ( ~ hskp12
    | c0_1(a917)
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_433]),c_0_152]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ hskp12
    | c0_1(a917)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_151]),c_0_152]) ).

cnf(c_0_532,negated_conjecture,
    ( ~ hskp27
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_288]),c_0_286]),c_0_287]) ).

cnf(c_0_533,negated_conjecture,
    ( ~ hskp30
    | ~ c3_1(a942)
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_434]),c_0_435]) ).

cnf(c_0_534,negated_conjecture,
    ( ~ hskp30
    | c3_1(a942)
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_435]),c_0_436]) ).

cnf(c_0_535,negated_conjecture,
    ( ~ hskp11
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_437]),c_0_166]),c_0_165]) ).

cnf(c_0_536,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a954)
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_289]),c_0_290]) ).

cnf(c_0_537,negated_conjecture,
    ( ~ hskp23
    | c2_1(a954)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_289]),c_0_290]) ).

cnf(c_0_538,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c2_1(X1)
    | epred29_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_438]),c_0_131])]) ).

cnf(c_0_539,negated_conjecture,
    ( ~ hskp6
    | hskp25
    | epred2_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_439,c_0_440]) ).

cnf(c_0_540,negated_conjecture,
    ( ~ hskp10
    | c3_1(a912)
    | epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_233]),c_0_209]) ).

cnf(c_0_541,negated_conjecture,
    ( ~ hskp8
    | epred1_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_542,negated_conjecture,
    ( ~ hskp21
    | hskp8
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_443]),c_0_307]),c_0_308]) ).

cnf(c_0_543,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a905) ),
    c_0_444 ).

cnf(c_0_544,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a936)
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_395]),c_0_445]) ).

cnf(c_0_545,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred40_0 ),
    inference(split_equiv,[status(thm)],[c_0_446]) ).

cnf(c_0_546,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred33_0 ),
    inference(split_equiv,[status(thm)],[c_0_447]) ).

cnf(c_0_547,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a959) ),
    c_0_448 ).

cnf(c_0_548,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a959) ),
    c_0_449 ).

cnf(c_0_549,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a959) ),
    c_0_450 ).

cnf(c_0_550,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a939) ),
    c_0_451 ).

cnf(c_0_551,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | epred32_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_235,c_0_395]) ).

cnf(c_0_552,negated_conjecture,
    ( ~ hskp20
    | c0_1(a939) ),
    c_0_452 ).

cnf(c_0_553,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c3_1(X2) ),
    c_0_453 ).

cnf(c_0_554,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_454 ).

cnf(c_0_555,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c3_1(X1) ),
    c_0_455 ).

cnf(c_0_556,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c0_1(X2) ),
    c_0_456 ).

cnf(c_0_557,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_457 ).

cnf(c_0_558,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_458 ).

cnf(c_0_559,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_459 ).

cnf(c_0_560,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c1_1(X2) ),
    c_0_460 ).

cnf(c_0_561,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_461 ).

cnf(c_0_562,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2) ),
    c_0_462 ).

cnf(c_0_563,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c3_1(X2)
    | c1_1(X2) ),
    c_0_463 ).

cnf(c_0_564,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp15
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_464 ).

cnf(c_0_565,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | c2_1(X2)
    | c3_1(X1) ),
    c_0_465 ).

cnf(c_0_566,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    c_0_466 ).

cnf(c_0_567,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp21
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_467 ).

cnf(c_0_568,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp27
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_468 ).

cnf(c_0_569,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp8
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_469 ).

cnf(c_0_570,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp27
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_470 ).

cnf(c_0_571,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_471 ).

cnf(c_0_572,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    c_0_472 ).

cnf(c_0_573,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a921)
    | hskp4
    | hskp3
    | hskp14
    | hskp7
    | c0_1(a921) ),
    inference(spm,[status(thm)],[c_0_357,c_0_473]) ).

cnf(c_0_574,negated_conjecture,
    ( ~ hskp28
    | hskp21
    | hskp11
    | hskp14
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_426,c_0_474]) ).

cnf(c_0_575,negated_conjecture,
    ( hskp21
    | epred24_0
    | hskp13
    | hskp7
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_475,c_0_476]) ).

cnf(c_0_576,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a906)
    | hskp27
    | hskp13
    | c3_1(a906)
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_477,c_0_248]) ).

cnf(c_0_577,negated_conjecture,
    ( ~ hskp4
    | hskp21
    | hskp10
    | c0_1(a905)
    | c2_1(a905)
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_478,c_0_479]) ).

cnf(c_0_578,negated_conjecture,
    ( epred2_0
    | epred15_0
    | epred20_0
    | epred3_0
    | epred34_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_480,c_0_481]) ).

cnf(c_0_579,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a906)
    | hskp9
    | epred26_0
    | hskp0
    | c3_1(a906)
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_482,c_0_483]) ).

cnf(c_0_580,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a914)
    | hskp15
    | epred24_0
    | c2_1(a914)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_484]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ hskp0
    | hskp21
    | c0_1(a901)
    | c3_1(a901)
    | epred9_0
    | epred15_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_413,c_0_485]) ).

cnf(c_0_582,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a907)
    | hskp21
    | epred15_0
    | hskp7
    | hskp5
    | c2_1(a907) ),
    inference(spm,[status(thm)],[c_0_164,c_0_486]) ).

cnf(c_0_583,negated_conjecture,
    ( ~ hskp21
    | hskp27
    | c0_1(a946)
    | c3_1(a946)
    | epred5_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_305,c_0_487]) ).

cnf(c_0_584,negated_conjecture,
    ( ~ c0_1(a906)
    | ~ hskp5
    | epred32_0
    | epred35_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_250,c_0_488]) ).

cnf(c_0_585,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a906)
    | c3_1(a906)
    | epred35_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_394,c_0_248]) ).

cnf(c_0_586,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a907)
    | hskp27
    | epred12_0
    | epred11_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_489,c_0_490]) ).

cnf(c_0_587,negated_conjecture,
    ( ~ hskp21
    | hskp27
    | c0_1(a946)
    | c3_1(a946)
    | epred5_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_305,c_0_491]) ).

cnf(c_0_588,negated_conjecture,
    ( ~ hskp21
    | hskp27
    | c0_1(a946)
    | c3_1(a946)
    | epred1_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_305,c_0_492]) ).

cnf(c_0_589,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a914)
    | hskp28
    | c2_1(a914)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_493]) ).

cnf(c_0_590,negated_conjecture,
    ( ~ hskp21
    | c0_1(a946)
    | c3_1(a946)
    | epred34_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_305,c_0_494]) ).

cnf(c_0_591,negated_conjecture,
    ( ~ hskp21
    | c0_1(a946)
    | c3_1(a946)
    | epred9_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_305,c_0_495]) ).

cnf(c_0_592,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a907)
    | epred43_0
    | hskp7
    | hskp5
    | c2_1(a907) ),
    inference(spm,[status(thm)],[c_0_164,c_0_420]) ).

cnf(c_0_593,negated_conjecture,
    ( ~ hskp21
    | hskp27
    | c0_1(a946)
    | epred6_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_496]) ).

cnf(c_0_594,negated_conjecture,
    ( ~ hskp21
    | c0_1(a946)
    | c3_1(a946)
    | epred1_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_305,c_0_497]) ).

cnf(c_0_595,negated_conjecture,
    ( ~ c0_1(a914)
    | ~ c3_1(a914)
    | ~ hskp11
    | epred2_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_167,c_0_498]) ).

cnf(c_0_596,negated_conjecture,
    ( ~ c0_1(a907)
    | ~ c3_1(a907)
    | ~ hskp6
    | epred2_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_350,c_0_498]) ).

cnf(c_0_597,negated_conjecture,
    ( ~ c3_1(a905)
    | ~ hskp4
    | c0_1(a905)
    | epred2_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_499,c_0_500]) ).

cnf(c_0_598,negated_conjecture,
    ( ~ hskp21
    | c0_1(a946)
    | c3_1(a946)
    | epred1_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_305,c_0_501]) ).

cnf(c_0_599,negated_conjecture,
    ( ~ hskp17
    | epred9_0
    | hskp14
    | hskp6
    | c2_1(a936)
    | c3_1(a936) ),
    inference(spm,[status(thm)],[c_0_502,c_0_503]) ).

cnf(c_0_600,negated_conjecture,
    ( ~ c0_1(a914)
    | ~ c3_1(a914)
    | ~ hskp11
    | epred2_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_167,c_0_504]) ).

cnf(c_0_601,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a907)
    | epred1_0
    | hskp7
    | hskp5
    | c2_1(a907) ),
    inference(spm,[status(thm)],[c_0_164,c_0_505]) ).

cnf(c_0_602,negated_conjecture,
    ( ~ hskp21
    | hskp27
    | hskp10
    | c0_1(a946)
    | c3_1(a946) ),
    inference(spm,[status(thm)],[c_0_305,c_0_323]) ).

cnf(c_0_603,negated_conjecture,
    ( ~ hskp13
    | hskp28
    | hskp12
    | c0_1(a921)
    | c3_1(a921) ),
    inference(spm,[status(thm)],[c_0_506,c_0_212]) ).

cnf(c_0_604,negated_conjecture,
    ( ~ hskp10
    | hskp28
    | hskp12
    | c0_1(a912)
    | c3_1(a912) ),
    inference(spm,[status(thm)],[c_0_506,c_0_209]) ).

cnf(c_0_605,negated_conjecture,
    ( ~ hskp6
    | hskp23
    | hskp1
    | c2_1(a907)
    | c3_1(a907) ),
    inference(spm,[status(thm)],[c_0_507,c_0_372]) ).

cnf(c_0_606,negated_conjecture,
    ( ~ hskp3
    | hskp17
    | hskp12
    | c1_1(a904)
    | c2_1(a904) ),
    inference(spm,[status(thm)],[c_0_508,c_0_229]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ hskp14
    | hskp7
    | hskp6
    | c0_1(a923)
    | c1_1(a923) ),
    inference(spm,[status(thm)],[c_0_509,c_0_423]) ).

cnf(c_0_608,negated_conjecture,
    ( ~ hskp28
    | hskp21
    | hskp11
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_511]) ).

cnf(c_0_609,negated_conjecture,
    ( ~ hskp12
    | hskp21
    | epred27_0
    | epred31_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_512,c_0_513]) ).

cnf(c_0_610,negated_conjecture,
    ( ~ hskp13
    | epred9_0
    | epred19_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_514,c_0_515]) ).

cnf(c_0_611,negated_conjecture,
    ( ~ hskp12
    | hskp21
    | hskp7
    | hskp5
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_516,c_0_517]) ).

cnf(c_0_612,negated_conjecture,
    ( ~ hskp6
    | hskp21
    | hskp1
    | epred31_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_518]) ).

cnf(c_0_613,negated_conjecture,
    ( ~ hskp6
    | hskp30
    | hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_349]),c_0_372]),c_0_350]) ).

cnf(c_0_614,negated_conjecture,
    ( ~ hskp12
    | hskp21
    | hskp7
    | hskp5
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_615,negated_conjecture,
    ( ~ hskp6
    | hskp21
    | epred11_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_518]) ).

cnf(c_0_616,negated_conjecture,
    ( ~ hskp12
    | hskp21
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_517]) ).

cnf(c_0_617,negated_conjecture,
    ( hskp21
    | epred1_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_523,c_0_524]) ).

cnf(c_0_618,negated_conjecture,
    ( ~ hskp12
    | hskp21
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_525,c_0_359]) ).

cnf(c_0_619,negated_conjecture,
    ( ~ hskp6
    | hskp21
    | hskp10
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_526,c_0_420]) ).

cnf(c_0_620,negated_conjecture,
    ( ~ hskp27
    | hskp7
    | hskp5
    | epred25_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_520,c_0_527]) ).

cnf(c_0_621,negated_conjecture,
    ( ~ hskp27
    | epred1_0
    | epred6_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_523,c_0_528]) ).

cnf(c_0_622,negated_conjecture,
    ( ~ hskp28
    | hskp12
    | hskp7
    | hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_418]),c_0_199]) ).

cnf(c_0_623,negated_conjecture,
    ( ~ hskp12
    | hskp7
    | hskp5
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_529,c_0_530]) ).

cnf(c_0_624,negated_conjecture,
    ( ~ hskp12
    | hskp7
    | hskp5
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_529,c_0_531]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ hskp27
    | hskp12
    | hskp7
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_199,c_0_532]) ).

cnf(c_0_626,negated_conjecture,
    ( ~ hskp30
    | hskp12
    | hskp11
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_533,c_0_534]) ).

cnf(c_0_627,negated_conjecture,
    ( ~ hskp28
    | epred2_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_535,c_0_200]) ).

cnf(c_0_628,negated_conjecture,
    ( ~ hskp23
    | hskp11
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_537]),c_0_170]) ).

cnf(c_0_629,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a912)
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_233]),c_0_209]) ).

cnf(c_0_630,negated_conjecture,
    ( ~ hskp6
    | hskp0
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_349]),c_0_372]),c_0_350]) ).

cnf(c_0_631,negated_conjecture,
    ( hskp21
    | hskp5
    | epred11_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_202]) ).

cnf(c_0_632,negated_conjecture,
    ( ~ hskp6
    | epred2_0
    | epred11_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_539]) ).

cnf(c_0_633,negated_conjecture,
    ( ~ hskp9
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_298]),c_0_236]),c_0_237]) ).

cnf(c_0_634,negated_conjecture,
    ( ~ hskp10
    | epred6_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_322,c_0_540]) ).

cnf(c_0_635,negated_conjecture,
    ( ~ hskp21
    | epred1_0
    | epred7_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_541,c_0_542]) ).

cnf(c_0_636,negated_conjecture,
    ( ~ hskp4
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_433]),c_0_479]),c_0_543]) ).

cnf(c_0_637,negated_conjecture,
    ( ~ hskp17
    | epred9_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_503]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ hskp7
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_310]),c_0_311]),c_0_312]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ hskp6
    | epred2_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_439,c_0_420]) ).

cnf(c_0_640,negated_conjecture,
    ( ~ hskp5
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_248]),c_0_249]),c_0_250]) ).

cnf(c_0_641,negated_conjecture,
    ( ~ hskp0
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_239]),c_0_341]),c_0_339]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ hskp21
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_546]),c_0_307]),c_0_308]) ).

cnf(c_0_643,negated_conjecture,
    ( ~ hskp28
    | epred2_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_417,c_0_169]) ).

cnf(c_0_644,negated_conjecture,
    ( ~ hskp27
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_288]),c_0_286]),c_0_287]) ).

cnf(c_0_645,negated_conjecture,
    ( ~ hskp1
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_384]),c_0_335]),c_0_334]) ).

cnf(c_0_646,negated_conjecture,
    ( ~ hskp24
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_340]),c_0_548]),c_0_549]) ).

cnf(c_0_647,negated_conjecture,
    ( hskp21
    | hskp13
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_170,c_0_382]) ).

cnf(c_0_648,negated_conjecture,
    ( ~ hskp20
    | epred32_0
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_551]),c_0_552]) ).

cnf(c_0_649,negated_conjecture,
    ( ~ epred25_0
    | ~ epred42_0
    | ~ epred43_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_553,c_0_191]),c_0_276]),c_0_282]) ).

cnf(c_0_650,negated_conjecture,
    ( ~ epred2_0
    | ~ epred37_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_554,c_0_227]),c_0_134]),c_0_360]) ).

cnf(c_0_651,negated_conjecture,
    ( ~ epred9_0
    | ~ epred39_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_555,c_0_253]),c_0_446]),c_0_265]) ).

cnf(c_0_652,negated_conjecture,
    ( ~ epred9_0
    | ~ epred25_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_556,c_0_367]),c_0_265]),c_0_282]) ).

cnf(c_0_653,negated_conjecture,
    ( ~ epred32_0
    | ~ epred34_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_557,c_0_320]),c_0_195]),c_0_360]) ).

cnf(c_0_654,negated_conjecture,
    ( ~ epred9_0
    | ~ epred35_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_558,c_0_254]),c_0_179]),c_0_265]) ).

cnf(c_0_655,negated_conjecture,
    ( ~ epred32_0
    | ~ epred33_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_559,c_0_320]),c_0_447]),c_0_195]) ).

cnf(c_0_656,negated_conjecture,
    ( ~ epred25_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_560,c_0_262]),c_0_282]) ).

cnf(c_0_657,negated_conjecture,
    ( ~ epred13_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_561,c_0_438]),c_0_302]) ).

cnf(c_0_658,negated_conjecture,
    ( ~ epred23_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_562,c_0_353]),c_0_272]) ).

cnf(c_0_659,negated_conjecture,
    ( ~ epred26_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_563,c_0_315]),c_0_258]) ).

cnf(c_0_660,negated_conjecture,
    ( ~ epred24_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_564,c_0_185]),c_0_282]) ).

cnf(c_0_661,negated_conjecture,
    ( ~ epred20_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_565,c_0_139]),c_0_371]) ).

cnf(c_0_662,negated_conjecture,
    ( ~ epred18_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_566,c_0_390]),c_0_268]) ).

cnf(c_0_663,negated_conjecture,
    ( ~ epred11_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_567,c_0_244]),c_0_321]) ).

cnf(c_0_664,negated_conjecture,
    ( ~ epred12_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_568,c_0_316]),c_0_302]) ).

cnf(c_0_665,negated_conjecture,
    ( ~ epred6_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_569,c_0_376]),c_0_203]) ).

cnf(c_0_666,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_570,c_0_317]),c_0_203]) ).

cnf(c_0_667,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_571,c_0_241]),c_0_327]) ).

cnf(c_0_668,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_572,c_0_295]),c_0_134]) ).

cnf(c_0_669,negated_conjecture,
    ( hskp4
    | hskp14
    | hskp20 ),
    clause33 ).

cnf(c_0_670,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_511,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_614,c_0_615,c_0_616,c_0_617,c_0_521,c_0_618,c_0_619,c_0_620,c_0_426,c_0_621,c_0_431,c_0_622,c_0_623,c_0_624,c_0_625,c_0_199,c_0_626,c_0_627,c_0_200,c_0_532,c_0_628,c_0_629,c_0_630,c_0_520,c_0_631,c_0_632,c_0_313,c_0_388,c_0_633,c_0_514,c_0_634,c_0_635,c_0_636,c_0_637,c_0_638,c_0_639,c_0_640,c_0_525,c_0_280,c_0_641,c_0_642,c_0_522,c_0_643,c_0_644,c_0_535,c_0_645,c_0_510,c_0_646,c_0_322,c_0_647,c_0_170,c_0_523,c_0_648,c_0_649,c_0_650,c_0_651,c_0_652,c_0_653,c_0_654,c_0_655,c_0_656,c_0_657,c_0_658,c_0_659,c_0_660,c_0_661,c_0_662,c_0_663,c_0_664,c_0_665,c_0_666,c_0_667,c_0_668,c_0_339,c_0_341,c_0_231,c_0_230,c_0_499,c_0_543,c_0_250,c_0_350,c_0_210,c_0_167,c_0_214,c_0_213,c_0_425,c_0_424,c_0_445,c_0_402,c_0_308,c_0_307,c_0_479,c_0_165,c_0_212,c_0_249,c_0_372,c_0_166,c_0_669,c_0_382]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN455-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n020.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 21 10:59:32 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 22.31/3.32  % Version: 3.5.1
% 22.31/3.32  % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.31/3.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.31/3.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.31/3.32  % Starting new_bool_3 with 300s (1) cores
% 22.31/3.32  % Starting new_bool_1 with 300s (1) cores
% 22.31/3.32  % Starting sh5l with 300s (1) cores
% 22.31/3.32  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2757322 completed with status 0
% 22.31/3.32  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 22.31/3.32  % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.31/3.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.31/3.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.31/3.32  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.31/3.32  % No SInE strategy applied
% 22.31/3.32  % Search class: FGHNF-FSMS00-SFFFFFNN
% 22.31/3.32  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 22.31/3.32  % Starting SubtermCWHack with 151s (1) cores
% 22.31/3.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 22.31/3.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 22.31/3.32  % Starting new_bool_3 with 151s (1) cores
% 22.31/3.32  % Starting new_bool_1 with 146s (1) cores
% 22.31/3.32  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2757328 completed with status 0
% 22.31/3.32  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 22.31/3.32  % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.31/3.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.31/3.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.31/3.32  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.31/3.32  % No SInE strategy applied
% 22.31/3.32  % Search class: FGHNF-FSMS00-SFFFFFNN
% 22.31/3.32  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 22.31/3.32  % Starting SubtermCWHack with 151s (1) cores
% 22.31/3.32  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 22.31/3.32  % Preprocessing time       : 0.002 s
% 22.31/3.32  % SatCheck found unsatisfiable ground set
% 22.31/3.32  
% 22.31/3.32  % Proof found!
% 22.31/3.32  % SZS status Unsatisfiable
% 22.31/3.32  % SZS output start CNFRefutation
% See solution above
% 22.31/3.32  % Parsed axioms                        : 184
% 22.31/3.32  % Removed by relevancy pruning/SinE    : 0
% 22.31/3.32  % Initial clauses                      : 184
% 22.31/3.32  % Removed in clause preprocessing      : 0
% 22.31/3.32  % Initial clauses in saturation        : 184
% 22.31/3.32  % Processed clauses                    : 7738
% 22.31/3.32  % ...of these trivial                  : 0
% 22.31/3.32  % ...subsumed                          : 2738
% 22.31/3.32  % ...remaining for further processing  : 5000
% 22.31/3.32  % Other redundant clauses eliminated   : 0
% 22.31/3.32  % Clauses deleted for lack of memory   : 0
% 22.31/3.32  % Backward-subsumed                    : 1533
% 22.31/3.32  % Backward-rewritten                   : 62
% 22.31/3.32  % Generated clauses                    : 81348
% 22.31/3.32  % ...of the previous two non-redundant : 76995
% 22.31/3.32  % ...aggressively subsumed             : 0
% 22.31/3.32  % Contextual simplify-reflections      : 708
% 22.31/3.32  % Paramodulations                      : 81279
% 22.31/3.32  % Factorizations                       : 0
% 22.31/3.32  % NegExts                              : 0
% 22.31/3.32  % Equation resolutions                 : 0
% 22.31/3.32  % Disequality decompositions           : 0
% 22.31/3.32  % Total rewrite steps                  : 87
% 22.31/3.32  % ...of those cached                   : 86
% 22.31/3.32  % Propositional unsat checks           : 1
% 22.31/3.32  %    Propositional check models        : 0
% 22.31/3.32  %    Propositional check unsatisfiable : 1
% 22.31/3.32  %    Propositional clauses             : 71717
% 22.31/3.32  %    Propositional clauses after purity: 69654
% 22.31/3.32  %    Propositional unsat core size     : 141
% 22.31/3.32  %    Propositional preprocessing time  : 0.000
% 22.31/3.32  %    Propositional encoding time       : 0.031
% 22.31/3.32  %    Propositional solver time         : 0.096
% 22.31/3.32  %    Success case prop preproc time    : 0.000
% 22.31/3.32  %    Success case prop encoding time   : 0.031
% 22.31/3.32  %    Success case prop solver time     : 0.096
% 22.31/3.32  % Current number of processed clauses  : 3379
% 22.31/3.32  %    Positive orientable unit clauses  : 1
% 22.31/3.32  %    Positive unorientable unit clauses: 0
% 22.31/3.32  %    Negative unit clauses             : 0
% 22.31/3.32  %    Non-unit-clauses                  : 3378
% 22.31/3.32  % Current number of unprocessed clauses: 68338
% 22.31/3.32  % ...number of literals in the above   : 479515
% 22.31/3.32  % Current number of archived formulas  : 0
% 22.31/3.32  % Current number of archived clauses   : 1595
% 22.31/3.32  % Clause-clause subsumption calls (NU) : 4848125
% 22.31/3.32  % Rec. Clause-clause subsumption calls : 244813
% 22.31/3.32  % Non-unit clause-clause subsumptions  : 5011
% 22.31/3.32  % Unit Clause-clause subsumption calls : 15
% 22.31/3.32  % Rewrite failures with RHS unbound    : 0
% 22.31/3.32  % BW rewrite match attempts            : 1
% 22.31/3.32  % BW rewrite match successes           : 1
% 22.31/3.32  % Condensation attempts                : 7738
% 22.31/3.32  % Condensation successes               : 0
% 22.31/3.32  % Termbank termtop insertions          : 798158
% 22.31/3.32  % Search garbage collected termcells   : 446
% 22.31/3.32  
% 22.31/3.32  % -------------------------------------------------
% 22.31/3.32  % User time                : 2.742 s
% 22.31/3.32  % System time              : 0.104 s
% 22.31/3.32  % Total time               : 2.846 s
% 22.31/3.32  % Maximum resident set size: 4032 pages
% 22.31/3.32  
% 22.31/3.32  % -------------------------------------------------
% 22.31/3.32  % User time                : 13.542 s
% 22.31/3.32  % System time              : 0.359 s
% 22.31/3.32  % Total time               : 13.901 s
% 22.31/3.32  % Maximum resident set size: 5120 pages
% 22.31/3.32  % E exiting
%------------------------------------------------------------------------------