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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN500-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:25:09 PM UTC 2026

% Result   : Unsatisfiable 11.54s 7.06s
% Output   : CNFRefutation 11.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  170
% Syntax   : Number of formulae    :  714 (   2 unt;   0 def)
%            Number of atoms       : 2898 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 3522 (1338   ~;2133   |;   0   &)
%                                         (  51 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   81 (  80 usr;  77 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  388 (   0 sgn  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause4,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

cnf(clause22,negated_conjecture,
    ( ~ hskp9
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

cnf(clause153,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

cnf(clause1,negated_conjecture,
    ( hskp9
    | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause58,negated_conjecture,
    ( ~ hskp21
    | c3_1(a47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(clause57,negated_conjecture,
    ( ~ hskp21
    | c2_1(a47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

cnf(clause90,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(clause84,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a73) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

cnf(clause104,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

cnf(clause102,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

cnf(clause103,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

cnf(clause73,negated_conjecture,
    ( ~ hskp11
    | c2_1(a19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(clause72,negated_conjecture,
    ( ~ hskp11
    | c1_1(a19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

cnf(clause105,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(clause51,negated_conjecture,
    ( ~ hskp25
    | c0_1(a73) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

cnf(clause52,negated_conjecture,
    ( ~ hskp25
    | c2_1(a73) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

cnf(clause38,negated_conjecture,
    ( hskp12
    | hskp21
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

cnf(clause99,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

cnf(clause69,negated_conjecture,
    ( ~ hskp14
    | c0_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(clause83,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

cnf(clause82,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

cnf(clause128,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(clause70,negated_conjecture,
    ( ~ hskp14
    | c1_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(clause42,negated_conjecture,
    ( ~ hskp28
    | c0_1(a23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

cnf(clause43,negated_conjecture,
    ( ~ hskp28
    | c1_1(a23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(clause133,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp19
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

cnf(clause47,negated_conjecture,
    ( ~ hskp27
    | c3_1(a13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

cnf(clause45,negated_conjecture,
    ( ~ hskp27
    | c1_1(a13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

cnf(clause46,negated_conjecture,
    ( ~ hskp27
    | c2_1(a13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

cnf(clause80,negated_conjecture,
    ( ~ hskp2
    | c3_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(clause125,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(clause124,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(clause61,negated_conjecture,
    ( ~ hskp19
    | c2_1(a40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

cnf(clause92,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

cnf(clause93,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

cnf(clause160,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

cnf(clause151,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp18
    | hskp28
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

cnf(clause59,negated_conjecture,
    ( ~ hskp20
    | c0_1(a43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(clause91,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

cnf(clause149,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | hskp11
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

cnf(clause64,negated_conjecture,
    ( ~ hskp17
    | c0_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

cnf(clause96,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

cnf(clause81,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(clause127,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(clause79,negated_conjecture,
    ( ~ hskp3
    | c2_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(clause123,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(clause145,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp5
    | hskp17
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

cnf(clause56,negated_conjecture,
    ( ~ hskp22
    | c1_1(a48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

cnf(clause89,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(clause121,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(clause120,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(clause130,negated_conjecture,
    ( ~ ndr1_0
    | hskp27
    | hskp1
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(clause131,negated_conjecture,
    ( ~ ndr1_0
    | hskp9
    | hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

cnf(clause141,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | hskp11
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

cnf(clause140,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | hskp1
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

cnf(clause134,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | hskp0
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

cnf(clause144,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp16
    | hskp26
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

cnf(clause50,negated_conjecture,
    ( ~ hskp26
    | c3_1(a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

cnf(clause48,negated_conjecture,
    ( ~ hskp26
    | c0_1(a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

cnf(clause49,negated_conjecture,
    ( ~ hskp26
    | c1_1(a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

cnf(clause63,negated_conjecture,
    ( ~ hskp18
    | c3_1(a39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

cnf(clause94,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(clause62,negated_conjecture,
    ( ~ hskp18
    | c0_1(a39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(clause88,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(clause119,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(clause187,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

cnf(clause60,negated_conjecture,
    ( ~ hskp20
    | c1_1(a43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

cnf(clause74,negated_conjecture,
    ( ~ hskp8
    | c3_1(a14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(clause112,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(clause113,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(clause159,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

cnf(clause111,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(clause109,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(clause110,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(clause118,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

cnf(clause78,negated_conjecture,
    ( ~ hskp5
    | c1_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(clause71,negated_conjecture,
    ( ~ hskp13
    | c3_1(a22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

cnf(clause68,negated_conjecture,
    ( ~ hskp15
    | c3_1(a28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

cnf(clause67,negated_conjecture,
    ( ~ hskp15
    | c2_1(a28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

cnf(clause98,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

cnf(clause117,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(clause44,negated_conjecture,
    ( ~ hskp28
    | c2_1(a23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

cnf(clause126,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(clause95,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

cnf(clause65,negated_conjecture,
    ( ~ hskp16
    | c0_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

cnf(clause97,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

cnf(clause198,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

cnf(clause194,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

cnf(clause195,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

cnf(clause193,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

cnf(clause192,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

cnf(clause191,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

cnf(clause190,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

cnf(clause189,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

cnf(clause185,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

cnf(clause183,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

cnf(clause182,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

cnf(clause180,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(clause178,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

cnf(clause170,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c3_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

cnf(clause174,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

cnf(clause171,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp28
    | c3_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

cnf(clause165,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp3
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

cnf(clause163,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

cnf(clause164,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp14
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(clause166,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp15
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(clause168,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp22
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

cnf(clause162,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp28
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

cnf(clause155,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

cnf(clause156,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp2
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

cnf(clause157,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp4
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

cnf(clause158,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp20
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

cnf(clause154,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

cnf(clause34,negated_conjecture,
    ( hskp9
    | hskp22
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

cnf(clause37,negated_conjecture,
    ( hskp22
    | hskp0
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

cnf(clause122,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(clause101,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

cnf(clause100,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

cnf(clause36,negated_conjecture,
    ( hskp19
    | hskp22
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause4]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ hskp9
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause22]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25 ),
    inference(fof_simplification,[status(thm)],[clause153]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    c_0_119 ).

cnf(c_0_123,negated_conjecture,
    ( hskp9
    | hskp27 ),
    clause1 ).

cnf(c_0_124,negated_conjecture,
    ( ~ hskp9
    | ndr1_0 ),
    c_0_120 ).

cnf(c_0_125,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25 ),
    c_0_121 ).

cnf(c_0_126,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).

fof(c_0_127,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_128,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp21
    | c3_1(a47) ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ hskp21
    | c2_1(a47) ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a47) ),
    inference(fof_simplification,[status(thm)],[clause90]) ).

fof(c_0_132,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_133,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a73) ),
    inference(fof_simplification,[status(thm)],[clause84]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp25 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c3_1(X1)
    | epred40_0 ),
    inference(split_equiv,[status(thm)],[c_0_127]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

fof(c_0_138,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c2_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_139,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a20) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a20) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred13_0 ),
    inference(split_equiv,[status(thm)],[c_0_128]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp21
    | c3_1(a47) ),
    c_0_129 ).

cnf(c_0_143,negated_conjecture,
    ( ~ hskp21
    | c2_1(a47) ),
    c_0_130 ).

cnf(c_0_144,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a47) ),
    c_0_131 ).

cnf(c_0_145,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | c0_1(X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_132]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred29_0 ),
    inference(split_equiv,[status(thm)],[c_0_133]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp11
    | c2_1(a19) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp11
    | c1_1(a19) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    inference(fof_simplification,[status(thm)],[clause105]) ).

fof(c_0_150,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_151,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_152,plain,
    ( ~ epred54_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_153,plain,
    ( ~ epred57_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_154,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a73) ),
    c_0_134 ).

cnf(c_0_155,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp25
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ hskp25
    | c0_1(a73) ),
    inference(fof_simplification,[status(thm)],[clause51]) ).

fof(c_0_157,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2)
        | hskp1 ) ),
    introduced(definition) ).

cnf(c_0_158,negated_conjecture,
    ( ~ hskp25
    | c2_1(a73) ),
    inference(fof_simplification,[status(thm)],[clause52]) ).

fof(c_0_159,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_160,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_161,plain,
    ( ~ epred51_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    c_0_137 ).

cnf(c_0_163,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred50_0 ),
    inference(split_equiv,[status(thm)],[c_0_138]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a20) ),
    c_0_139 ).

cnf(c_0_165,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a20) ),
    c_0_140 ).

cnf(c_0_166,negated_conjecture,
    ( ~ hskp21
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]),c_0_144]) ).

cnf(c_0_167,negated_conjecture,
    ( hskp12
    | hskp21
    | hskp11 ),
    clause38 ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a47)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_143]),c_0_144]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp21
    | c1_1(a47)
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_142]),c_0_144]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp11
    | c2_1(a19) ),
    c_0_147 ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp11
    | c1_1(a19) ),
    c_0_148 ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    c_0_149 ).

cnf(c_0_173,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_150]) ).

cnf(c_0_174,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_151]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a25) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred54_0 ),
    inference(split_equiv,[status(thm)],[c_0_152]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred57_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_153]),c_0_126])]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp14
    | c0_1(a25) ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

fof(c_0_179,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp14 ) ),
    introduced(definition) ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1) ),
    inference(fof_simplification,[status(thm)],[clause83]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    inference(fof_simplification,[status(thm)],[clause82]) ).

cnf(c_0_182,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    inference(fof_simplification,[status(thm)],[clause128]) ).

fof(c_0_183,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_184,plain,
    ( ~ epred56_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_185,negated_conjecture,
    ( ~ hskp14
    | c1_1(a25) ),
    inference(fof_simplification,[status(thm)],[clause70]) ).

fof(c_0_186,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | hskp22 ) ),
    introduced(definition) ).

cnf(c_0_187,negated_conjecture,
    ( ~ c0_1(a73)
    | ~ c1_1(a73)
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_136]),c_0_155]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ hskp25
    | c0_1(a73) ),
    c_0_156 ).

cnf(c_0_189,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | epred11_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_157]),c_0_126])]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp25
    | c2_1(a73) ),
    c_0_158 ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp28
    | c0_1(a23) ),
    inference(fof_simplification,[status(thm)],[clause42]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp28
    | c1_1(a23) ),
    inference(fof_simplification,[status(thm)],[clause43]) ).

fof(c_0_193,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c0_1(X2)
        | hskp28 ) ),
    introduced(definition) ).

fof(c_0_194,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_195,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_196,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp19
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause133]) ).

fof(c_0_197,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_198,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | hskp20 ) ),
    introduced(definition) ).

cnf(c_0_199,negated_conjecture,
    ( ~ hskp27
    | c3_1(a13) ),
    inference(fof_simplification,[status(thm)],[clause47]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp27
    | c1_1(a13) ),
    inference(fof_simplification,[status(thm)],[clause45]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp27
    | c2_1(a13) ),
    inference(fof_simplification,[status(thm)],[clause46]) ).

fof(c_0_202,plain,
    ( ~ epred60_0
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | c1_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp2
    | c3_1(a3) ),
    inference(fof_simplification,[status(thm)],[clause80]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    inference(fof_simplification,[status(thm)],[clause125]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    inference(fof_simplification,[status(thm)],[clause124]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred17_0 ),
    inference(split_equiv,[status(thm)],[c_0_159]) ).

fof(c_0_207,plain,
    ( ~ epred45_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c2_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp19
    | c2_1(a40) ),
    inference(fof_simplification,[status(thm)],[clause61]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a40) ),
    inference(fof_simplification,[status(thm)],[clause92]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a40) ),
    inference(fof_simplification,[status(thm)],[clause93]) ).

fof(c_0_211,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2)
        | c0_1(X2)
        | hskp2 ) ),
    introduced(definition) ).

fof(c_0_212,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c2_1(X2)
        | hskp21 ) ),
    introduced(definition) ).

fof(c_0_213,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_214,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred52_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_160]),c_0_126])]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_161]),c_0_126])]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause160]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp12
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]),c_0_165]) ).

cnf(c_0_218,negated_conjecture,
    ( hskp12
    | hskp11
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp21
    | epred10_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp11
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_170]),c_0_171]),c_0_172]) ).

fof(c_0_221,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_222,plain,
    ( ~ epred46_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a20)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_173]),c_0_165]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp12
    | c1_1(a20)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_174]),c_0_165]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a25) ),
    c_0_175 ).

cnf(c_0_226,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | epred54_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp14
    | c0_1(a25) ),
    c_0_178 ).

cnf(c_0_228,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp14
    | c3_1(X1)
    | epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_179]),c_0_126])]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1) ),
    c_0_180 ).

cnf(c_0_230,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    c_0_181 ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    c_0_182 ).

cnf(c_0_232,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_183]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred56_0 ),
    inference(split_equiv,[status(thm)],[c_0_184]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp14
    | c1_1(a25) ),
    c_0_185 ).

cnf(c_0_235,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp18
    | hskp28
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause151]) ).

fof(c_0_236,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp15 ) ),
    introduced(definition) ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp20
    | c0_1(a43) ),
    inference(fof_simplification,[status(thm)],[clause59]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a43) ),
    inference(fof_simplification,[status(thm)],[clause91]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | hskp11
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause149]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp17
    | c0_1(a33) ),
    inference(fof_simplification,[status(thm)],[clause64]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a33) ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2) ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(fof_simplification,[status(thm)],[clause127]) ).

fof(c_0_244,plain,
    ( ~ epred47_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c3_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_245,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2)
        | c0_1(X2)
        | hskp1 ) ),
    introduced(definition) ).

cnf(c_0_246,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp22
    | c1_1(X1)
    | epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_186]),c_0_126])]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a73)
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp25
    | hskp1
    | c1_1(a73)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_154]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp28
    | c0_1(a23) ),
    c_0_191 ).

cnf(c_0_250,negated_conjecture,
    ( ~ hskp28
    | c1_1(a23) ),
    c_0_192 ).

cnf(c_0_251,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp28
    | c0_1(X1)
    | c2_1(X1)
    | epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_193]),c_0_126])]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | epred33_0 ),
    inference(split_equiv,[status(thm)],[c_0_194]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | c0_1(X1)
    | epred19_0 ),
    inference(split_equiv,[status(thm)],[c_0_195]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ hskp3
    | c2_1(a5) ),
    inference(fof_simplification,[status(thm)],[clause79]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp5
    | hskp17
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause145]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp19
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_196 ).

cnf(c_0_258,negated_conjecture,
    ( ~ hskp22
    | c1_1(a48) ),
    inference(fof_simplification,[status(thm)],[clause56]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a48) ),
    inference(fof_simplification,[status(thm)],[clause89]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X1)
    | epred49_0 ),
    inference(split_equiv,[status(thm)],[c_0_197]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp20
    | c1_1(X1)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_198]),c_0_126])]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ hskp27
    | c3_1(a13) ),
    c_0_199 ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp27
    | c1_1(a13) ),
    c_0_200 ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp27
    | c2_1(a13) ),
    c_0_201 ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a7) ),
    inference(fof_simplification,[status(thm)],[clause121]) ).

fof(c_0_266,plain,
    ( ~ epred61_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c1_1(X3)
        | c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a7) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred60_0 ),
    inference(split_equiv,[status(thm)],[c_0_202]) ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp2
    | c3_1(a3) ),
    c_0_203 ).

cnf(c_0_270,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    c_0_204 ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    c_0_205 ).

fof(c_0_272,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_273,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_274,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | epred17_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_176,c_0_206]) ).

cnf(c_0_275,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred45_0 ),
    inference(split_equiv,[status(thm)],[c_0_207]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ hskp19
    | c2_1(a40) ),
    c_0_208 ).

cnf(c_0_277,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a40) ),
    c_0_209 ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a40) ),
    c_0_210 ).

cnf(c_0_279,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_211]),c_0_126])]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp21
    | c2_1(X1)
    | c1_1(X1)
    | epred32_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_212]),c_0_126])]) ).

cnf(c_0_281,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred44_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_213]),c_0_126])]) ).

fof(c_0_282,plain,
    ( ~ epred55_0
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ ndr1_0
        | c1_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_283,negated_conjecture,
    ( ~ ndr1_0
    | hskp27
    | hskp1
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause130]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ ndr1_0
    | hskp9
    | hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | hskp11
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause141]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | hskp1
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause140]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | hskp0
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause134]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp16
    | hskp26
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp26
    | c3_1(a4) ),
    inference(fof_simplification,[status(thm)],[clause50]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp26
    | c0_1(a4) ),
    inference(fof_simplification,[status(thm)],[clause48]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp26
    | c1_1(a4) ),
    inference(fof_simplification,[status(thm)],[clause49]) ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp18
    | c3_1(a39) ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a39) ),
    inference(fof_simplification,[status(thm)],[clause94]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ hskp18
    | c0_1(a39) ),
    inference(fof_simplification,[status(thm)],[clause62]) ).

fof(c_0_295,plain,
    ( ~ epred58_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_296,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a48) ),
    inference(fof_simplification,[status(thm)],[clause88]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | epred51_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_298,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a7) ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

fof(c_0_299,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c0_1(X1)
        | hskp4 ) ),
    introduced(definition) ).

cnf(c_0_300,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause187]) ).

fof(c_0_301,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c0_1(X2)
        | hskp5 ) ),
    introduced(definition) ).

cnf(c_0_302,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_216 ).

cnf(c_0_303,negated_conjecture,
    ( hskp11
    | epred13_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_304,negated_conjecture,
    ( hskp12
    | epred10_0
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_167]),c_0_220]) ).

cnf(c_0_305,negated_conjecture,
    ( ~ hskp20
    | c1_1(a43) ),
    inference(fof_simplification,[status(thm)],[clause60]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ hskp8
    | c3_1(a14) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a14) ),
    inference(fof_simplification,[status(thm)],[clause112]) ).

cnf(c_0_308,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a14) ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

cnf(c_0_309,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | epred36_0 ),
    inference(split_equiv,[status(thm)],[c_0_221]) ).

fof(c_0_310,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_311,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred46_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_222]),c_0_126])]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause159]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp12
    | epred2_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

fof(c_0_314,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_315,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c1_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_316,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    inference(fof_simplification,[status(thm)],[clause111]) ).

cnf(c_0_317,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a15) ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

cnf(c_0_318,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    inference(fof_simplification,[status(thm)],[clause110]) ).

fof(c_0_319,plain,
    ( ~ epred53_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ ndr1_0
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_320,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_321,negated_conjecture,
    ( ~ hskp14
    | epred54_0
    | epred57_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).

cnf(c_0_322,negated_conjecture,
    ( ~ hskp25
    | hskp14
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_190]),c_0_188]),c_0_154]) ).

cnf(c_0_323,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1)
    | hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_229]),c_0_230]) ).

cnf(c_0_324,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_230]) ).

cnf(c_0_325,negated_conjecture,
    ( ~ hskp14
    | epred56_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_233]),c_0_227]),c_0_234]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp18
    | hskp28
    | c3_1(X1) ),
    c_0_235 ).

cnf(c_0_327,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp15
    | c2_1(X1)
    | c3_1(X1)
    | epred18_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_236]),c_0_126])]) ).

cnf(c_0_328,negated_conjecture,
    ( ~ hskp20
    | c0_1(a43) ),
    c_0_237 ).

cnf(c_0_329,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a43) ),
    c_0_238 ).

cnf(c_0_330,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | hskp11
    | c1_1(X1) ),
    c_0_239 ).

cnf(c_0_331,negated_conjecture,
    ( ~ hskp17
    | c0_1(a33) ),
    c_0_240 ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a33) ),
    c_0_241 ).

cnf(c_0_333,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2) ),
    c_0_242 ).

cnf(c_0_334,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    c_0_243 ).

cnf(c_0_335,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred47_0 ),
    inference(split_equiv,[status(thm)],[c_0_244]) ).

cnf(c_0_336,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_245]),c_0_126])]) ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp21
    | hskp22
    | c1_1(a47)
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_142]),c_0_143]) ).

cnf(c_0_338,negated_conjecture,
    ( ~ hskp25
    | hskp1
    | epred11_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_339,negated_conjecture,
    ( ~ hskp28
    | hskp25
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_249]),c_0_250]) ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1)
    | epred56_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_233]),c_0_230]) ).

cnf(c_0_341,negated_conjecture,
    ( ~ hskp0
    | hskp28
    | c0_1(a1)
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_229]),c_0_231]) ).

cnf(c_0_342,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a73)
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_190]),c_0_188]) ).

cnf(c_0_343,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_229]),c_0_230]) ).

cnf(c_0_344,negated_conjecture,
    ( ~ hskp3
    | c2_1(a5) ),
    c_0_254 ).

cnf(c_0_345,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    c_0_255 ).

cnf(c_0_346,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp5
    | hskp17
    | c0_1(X1) ),
    c_0_256 ).

cnf(c_0_347,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp19
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_126])]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ hskp22
    | c1_1(a48) ),
    c_0_258 ).

cnf(c_0_349,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a48) ),
    c_0_259 ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a73)
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_260]),c_0_190]) ).

cnf(c_0_351,negated_conjecture,
    ( ~ hskp25
    | hskp20
    | c1_1(a73)
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_190]),c_0_188]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a13)
    | hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_262]),c_0_263]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ hskp27
    | c0_1(a13)
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_262]),c_0_264]) ).

cnf(c_0_354,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a7) ),
    c_0_265 ).

cnf(c_0_355,negated_conjecture,
    ( ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred61_0 ),
    inference(split_equiv,[status(thm)],[c_0_266]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a7) ),
    c_0_267 ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp2
    | epred60_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270]),c_0_271]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred26_0 ),
    inference(split_equiv,[status(thm)],[c_0_272]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred15_0 ),
    inference(split_equiv,[status(thm)],[c_0_273]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a3)
    | epred17_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_274]) ).

cnf(c_0_361,negated_conjecture,
    ( ~ hskp2
    | c0_1(a3)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_275]),c_0_271]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a40)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_276]),c_0_277]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ hskp19
    | hskp2
    | c1_1(a40)
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_277]) ).

fof(c_0_364,plain,
    ( ~ epred59_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_365,negated_conjecture,
    ( hskp21
    | c2_1(X1)
    | c1_1(X1)
    | epred32_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred55_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_282]),c_0_126])]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ ndr1_0
    | hskp27
    | hskp1
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_283 ).

cnf(c_0_368,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a8) ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ ndr1_0
    | hskp9
    | hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_284 ).

cnf(c_0_370,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | hskp11
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_285 ).

cnf(c_0_371,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | hskp1
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_286 ).

cnf(c_0_372,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | hskp0
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_287 ).

cnf(c_0_373,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp16
    | hskp26
    | c0_1(X1) ),
    c_0_288 ).

fof(c_0_374,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c0_1(X2)
        | hskp13 ) ),
    introduced(definition) ).

fof(c_0_375,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c0_1(X2)
        | hskp28 ) ),
    introduced(definition) ).

fof(c_0_376,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | c3_1(X1)
        | hskp3 ) ),
    introduced(definition) ).

fof(c_0_377,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp3 ) ),
    introduced(definition) ).

cnf(c_0_378,negated_conjecture,
    ( ~ hskp5
    | c1_1(a8) ),
    inference(fof_simplification,[status(thm)],[clause78]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp13
    | c3_1(a22) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ hskp26
    | c3_1(a4) ),
    c_0_289 ).

cnf(c_0_381,negated_conjecture,
    ( ~ hskp26
    | c0_1(a4) ),
    c_0_290 ).

cnf(c_0_382,negated_conjecture,
    ( ~ hskp26
    | c1_1(a4) ),
    c_0_291 ).

cnf(c_0_383,negated_conjecture,
    ( ~ hskp18
    | c3_1(a39) ),
    c_0_292 ).

cnf(c_0_384,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a39) ),
    c_0_293 ).

cnf(c_0_385,negated_conjecture,
    ( ~ hskp18
    | c0_1(a39) ),
    c_0_294 ).

cnf(c_0_386,negated_conjecture,
    ( ~ hskp15
    | c3_1(a28) ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ hskp15
    | c2_1(a28) ),
    inference(fof_simplification,[status(thm)],[clause67]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a28) ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred58_0 ),
    inference(split_equiv,[status(thm)],[c_0_295]) ).

cnf(c_0_390,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a48) ),
    c_0_296 ).

cnf(c_0_391,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a8) ),
    inference(fof_simplification,[status(thm)],[clause117]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp25
    | c1_1(a73)
    | epred51_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_297,c_0_188]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a7) ),
    c_0_298 ).

cnf(c_0_394,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp4
    | c0_1(X1)
    | c3_1(X1)
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_299]),c_0_126])]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_300 ).

cnf(c_0_396,negated_conjecture,
    ( ~ epred10_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_302,c_0_301]),c_0_132]) ).

cnf(c_0_397,negated_conjecture,
    ( epred10_0
    | epred13_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_220,c_0_303]) ).

cnf(c_0_398,negated_conjecture,
    ( epred10_0
    | epred29_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_217,c_0_304]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ hskp20
    | c1_1(a43) ),
    c_0_305 ).

cnf(c_0_400,negated_conjecture,
    ( ~ hskp8
    | c3_1(a14) ),
    c_0_306 ).

cnf(c_0_401,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a14) ),
    c_0_307 ).

cnf(c_0_402,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a14) ),
    c_0_308 ).

cnf(c_0_403,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a13)
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_262]),c_0_263]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ hskp27
    | c0_1(a13)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_264]),c_0_263]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ hskp28
    | c2_1(a23) ),
    inference(fof_simplification,[status(thm)],[clause44]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a13)
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_264]),c_0_263]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ hskp27
    | c0_1(a13)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_262]),c_0_263]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | epred31_0 ),
    inference(split_equiv,[status(thm)],[c_0_310]) ).

fof(c_0_409,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_410,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a2) ),
    inference(fof_simplification,[status(thm)],[clause126]) ).

fof(c_0_411,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_412,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | epred45_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_311,c_0_275]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a33) ),
    inference(fof_simplification,[status(thm)],[clause95]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_312 ).

cnf(c_0_415,negated_conjecture,
    ( hskp11
    | epred2_0
    | epred4_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_218]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred8_0 ),
    inference(split_equiv,[status(thm)],[c_0_314]) ).

cnf(c_0_417,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_315]),c_0_126])]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    c_0_316 ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a15) ),
    c_0_317 ).

cnf(c_0_420,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    c_0_318 ).

cnf(c_0_421,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred53_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_319]),c_0_126])]) ).

cnf(c_0_422,negated_conjecture,
    ( ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_320]),c_0_126])]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ hskp16
    | c0_1(a32) ),
    inference(fof_simplification,[status(thm)],[clause65]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a32) ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

cnf(c_0_425,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause198]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause194]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause195]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause193]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause192]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause191]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause190]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause189]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause185]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause183]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause182]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause180]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause178]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c3_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause170]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause174]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp28
    | c3_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause171]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp3
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause165]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause163]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp14
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause164]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp15
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause166]) ).

cnf(c_0_445,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp22
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause168]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp28
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause162]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause155]) ).

cnf(c_0_448,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp2
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause156]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp4
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause157]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp20
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause158]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause154]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ hskp25
    | epred20_0
    | epred54_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ hskp0
    | hskp25
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_323,c_0_324]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ hskp25
    | epred20_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_325,c_0_322]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp28
    | hskp18
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_326,c_0_126])]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ hskp20
    | hskp15
    | c2_1(a43)
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_329]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp21
    | hskp11
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_126])]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ hskp17
    | hskp15
    | c2_1(a33)
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_331]),c_0_332]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ hskp1
    | hskp15
    | c3_1(a2)
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_333]),c_0_334]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp22
    | c0_1(X1)
    | c1_1(X1)
    | epred14_0
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_246,c_0_335]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp22
    | hskp1
    | c0_1(X1)
    | c1_1(X1)
    | epred9_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_246,c_0_336]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ hskp21
    | hskp22
    | epred10_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_337]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ hskp28
    | hskp1
    | epred11_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_338,c_0_339]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ hskp0
    | hskp28
    | epred12_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_340,c_0_341]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ hskp25
    | hskp1
    | epred11_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_342,c_0_248]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ hskp0
    | hskp25
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_323,c_0_343]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ hskp3
    | hskp1
    | c3_1(a5)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_344]),c_0_345]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp17
    | hskp5
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_126])]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ hskp22
    | hskp19
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_349]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ hskp25
    | hskp20
    | epred3_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_471,negated_conjecture,
    ( ~ hskp27
    | hskp25
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a7)
    | epred61_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_356]) ).

cnf(c_0_473,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred9_0
    | epred60_0 ),
    inference(spm,[status(thm)],[c_0_268,c_0_336]) ).

cnf(c_0_474,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred7_0
    | epred60_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_279]),c_0_357]) ).

cnf(c_0_475,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred9_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_336]) ).

cnf(c_0_476,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp1
    | c0_1(X1)
    | c1_1(X1)
    | epred9_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_141,c_0_336]) ).

cnf(c_0_477,negated_conjecture,
    ( ~ hskp19
    | hskp1
    | c1_1(a40)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_336]),c_0_277]) ).

cnf(c_0_478,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred15_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_176,c_0_359]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred4_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_176,c_0_174]) ).

cnf(c_0_480,negated_conjecture,
    ( ~ hskp2
    | epred17_0
    | epred45_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_481,negated_conjecture,
    ( ~ hskp19
    | hskp2
    | epred7_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_482,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred7_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_279]) ).

cnf(c_0_483,negated_conjecture,
    ( ~ hskp17
    | c2_1(a33)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_206]),c_0_331]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred59_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_364]),c_0_126])]) ).

cnf(c_0_485,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | epred13_0
    | epred32_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_166,c_0_365]) ).

cnf(c_0_486,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c1_1(X1)
    | epred9_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_366,c_0_336]) ).

cnf(c_0_487,negated_conjecture,
    ( ~ hskp22
    | c2_1(a48)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_173]),c_0_348]) ).

cnf(c_0_488,negated_conjecture,
    ( hskp27
    | hskp1
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_367,c_0_126])]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a8) ),
    c_0_368 ).

cnf(c_0_490,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_369,c_0_126])]) ).

cnf(c_0_491,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp9
    | hskp11
    | c3_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_126])]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp17
    | hskp1
    | c3_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_126])]) ).

cnf(c_0_493,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp4
    | hskp0
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_126])]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp26
    | hskp16
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_126])]) ).

cnf(c_0_495,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp13
    | c0_1(X1)
    | c3_1(X1)
    | epred35_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_374]),c_0_126])]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp28
    | c0_1(X1)
    | c3_1(X1)
    | epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_375]),c_0_126])]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp3
    | c3_1(X1)
    | c1_1(X1)
    | epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_376]),c_0_126])]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp3
    | c2_1(X1)
    | epred25_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_377]),c_0_126])]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ hskp5
    | c1_1(a8) ),
    c_0_378 ).

cnf(c_0_500,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp5
    | c0_1(X1)
    | c1_1(X1)
    | epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_301]),c_0_126])]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ hskp13
    | c3_1(a22) ),
    c_0_379 ).

cnf(c_0_502,negated_conjecture,
    ( ~ hskp26
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_380]),c_0_381]),c_0_382]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a47)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_142]),c_0_144]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a39)
    | hskp22
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_383]),c_0_384]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ hskp18
    | c2_1(a39)
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_383]),c_0_385]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ hskp15
    | c3_1(a28) ),
    c_0_386 ).

cnf(c_0_507,negated_conjecture,
    ( ~ hskp15
    | c2_1(a28) ),
    c_0_387 ).

cnf(c_0_508,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a28) ),
    c_0_388 ).

cnf(c_0_509,negated_conjecture,
    ( ~ hskp19
    | hskp1
    | c1_1(a40)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_276]),c_0_278]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a48)
    | epred58_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_389]),c_0_390]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ hskp19
    | epred58_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_389]),c_0_276]),c_0_277]) ).

cnf(c_0_512,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a8) ),
    c_0_391 ).

cnf(c_0_513,negated_conjecture,
    ( ~ hskp25
    | epred33_0
    | epred51_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_342,c_0_392]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ hskp4
    | hskp1
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_336]),c_0_393]),c_0_356]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ hskp22
    | hskp4
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_348]),c_0_390]),c_0_349]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1)
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_229]),c_0_231]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ epred13_0
    | ~ epred29_0
    | ~ epred48_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_395,c_0_320]),c_0_133]),c_0_128]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ epred24_0
    | epred13_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ epred24_0
    | epred29_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_396,c_0_398]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a43)
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_260]),c_0_399]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ hskp20
    | c2_1(a43)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_206]),c_0_328]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a14)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_400]),c_0_401]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ hskp8
    | c1_1(a14)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_275]),c_0_401]) ).

cnf(c_0_524,negated_conjecture,
    ( ~ hskp12
    | hskp2
    | c1_1(a20)
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_279]),c_0_164]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ hskp27
    | epred10_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_403,c_0_404]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ hskp25
    | hskp20
    | epred3_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_342,c_0_351]) ).

cnf(c_0_527,negated_conjecture,
    ( hskp9
    | hskp22
    | hskp25 ),
    clause34 ).

cnf(c_0_528,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1)
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_229]),c_0_230]) ).

cnf(c_0_529,negated_conjecture,
    ( ~ hskp28
    | c2_1(a23) ),
    c_0_405 ).

cnf(c_0_530,negated_conjecture,
    ( ~ hskp27
    | epred19_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_406,c_0_407]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ hskp27
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_262]),c_0_264]),c_0_263]) ).

cnf(c_0_532,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred23_0 ),
    inference(split_equiv,[status(thm)],[c_0_409]) ).

cnf(c_0_533,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a2) ),
    c_0_410 ).

cnf(c_0_534,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred21_0 ),
    inference(split_equiv,[status(thm)],[c_0_411]) ).

cnf(c_0_535,negated_conjecture,
    ( ~ hskp4
    | epred45_0
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_412]),c_0_356]) ).

cnf(c_0_536,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a33) ),
    c_0_413 ).

cnf(c_0_537,negated_conjecture,
    ( ~ epred2_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_414,c_0_157]),c_0_150]) ).

cnf(c_0_538,negated_conjecture,
    ( epred2_0
    | epred4_0
    | epred10_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_220,c_0_415]) ).

cnf(c_0_539,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a14)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_400]),c_0_402]) ).

cnf(c_0_540,negated_conjecture,
    ( ~ hskp8
    | hskp0
    | c1_1(a14)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_417]),c_0_401]) ).

cnf(c_0_541,negated_conjecture,
    ( ~ hskp0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_229]),c_0_230]),c_0_231]) ).

cnf(c_0_542,negated_conjecture,
    ( ~ hskp9
    | hskp0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_417]),c_0_419]),c_0_420]) ).

cnf(c_0_543,negated_conjecture,
    ( hskp22
    | hskp0
    | hskp11 ),
    clause37 ).

cnf(c_0_544,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | epred48_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_545,negated_conjecture,
    ( ~ hskp16
    | c0_1(a32) ),
    c_0_423 ).

cnf(c_0_546,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a32) ),
    c_0_424 ).

cnf(c_0_547,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | epred15_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_359]) ).

cnf(c_0_548,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | epred6_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_145,c_0_232]) ).

cnf(c_0_549,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c2_1(X2) ),
    c_0_425 ).

cnf(c_0_550,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_426 ).

cnf(c_0_551,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    c_0_427 ).

cnf(c_0_552,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_428 ).

cnf(c_0_553,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_429 ).

cnf(c_0_554,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    c_0_430 ).

cnf(c_0_555,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_431 ).

cnf(c_0_556,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_432 ).

cnf(c_0_557,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_433 ).

cnf(c_0_558,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_434 ).

cnf(c_0_559,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_435 ).

cnf(c_0_560,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_436 ).

cnf(c_0_561,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_437 ).

cnf(c_0_562,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c3_1(X2)
    | c0_1(X2) ),
    c_0_438 ).

cnf(c_0_563,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_439 ).

cnf(c_0_564,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp28
    | c3_1(X2)
    | c0_1(X2) ),
    c_0_440 ).

cnf(c_0_565,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp3
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_441 ).

cnf(c_0_566,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_442 ).

cnf(c_0_567,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp14
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    c_0_443 ).

cnf(c_0_568,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp15
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_444 ).

cnf(c_0_569,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp22
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    c_0_445 ).

cnf(c_0_570,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp28
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_446 ).

cnf(c_0_571,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_447 ).

cnf(c_0_572,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp2
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_448 ).

cnf(c_0_573,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp4
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_449 ).

cnf(c_0_574,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp20
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    c_0_450 ).

cnf(c_0_575,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_451 ).

cnf(c_0_576,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a5) ),
    inference(fof_simplification,[status(thm)],[clause122]) ).

cnf(c_0_577,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a22) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_578,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_579,negated_conjecture,
    ( ~ hskp0
    | epred6_0
    | epred20_0
    | epred54_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_580,negated_conjecture,
    ( ~ hskp0
    | epred6_0
    | epred20_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_454,c_0_453]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a43)
    | hskp15
    | epred18_0
    | hskp28
    | hskp18
    | c3_1(a43) ),
    inference(spm,[status(thm)],[c_0_455,c_0_456]) ).

cnf(c_0_582,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a33)
    | hskp15
    | epred18_0
    | hskp21
    | hskp11
    | c1_1(a33) ),
    inference(spm,[status(thm)],[c_0_457,c_0_458]) ).

cnf(c_0_583,negated_conjecture,
    ( ~ hskp17
    | hskp15
    | epred18_0
    | hskp1
    | c3_1(a33)
    | c1_1(a33)
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_458]) ).

cnf(c_0_584,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2)
    | hskp15
    | epred18_0
    | c1_1(a2)
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_459]) ).

cnf(c_0_585,negated_conjecture,
    ( ~ hskp3
    | hskp22
    | c0_1(a5)
    | c1_1(a5)
    | epred14_0
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_460,c_0_344]) ).

cnf(c_0_586,negated_conjecture,
    ( ~ hskp3
    | hskp22
    | hskp1
    | c0_1(a5)
    | c1_1(a5)
    | epred9_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_461,c_0_344]) ).

cnf(c_0_587,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp22
    | epred10_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_462,c_0_167]) ).

cnf(c_0_588,negated_conjecture,
    ( ~ hskp0
    | epred12_0
    | epred56_0
    | hskp1
    | epred11_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_463,c_0_464]) ).

cnf(c_0_589,negated_conjecture,
    ( ~ hskp0
    | epred19_0
    | hskp1
    | epred11_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_465,c_0_466]) ).

cnf(c_0_590,negated_conjecture,
    ( ~ hskp3
    | hskp1
    | epred11_0
    | c0_1(a5)
    | c1_1(a5)
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_366,c_0_467]) ).

cnf(c_0_591,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a5)
    | hskp1
    | epred11_0
    | c1_1(a5)
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_421,c_0_467]) ).

cnf(c_0_592,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a5)
    | hskp1
    | epred11_0
    | c0_1(a5)
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_141,c_0_467]) ).

cnf(c_0_593,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a48)
    | hskp19
    | hskp17
    | hskp5
    | c0_1(a48) ),
    inference(spm,[status(thm)],[c_0_468,c_0_469]) ).

cnf(c_0_594,negated_conjecture,
    ( ~ hskp27
    | epred13_0
    | hskp20
    | epred3_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_470,c_0_471]) ).

cnf(c_0_595,negated_conjecture,
    ( ~ hskp4
    | c0_1(a7)
    | c1_1(a7)
    | epred45_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_472,c_0_275]) ).

cnf(c_0_596,negated_conjecture,
    ( ~ hskp9
    | hskp1
    | c0_1(a15)
    | c1_1(a15)
    | epred9_0
    | epred60_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_473]) ).

cnf(c_0_597,negated_conjecture,
    ( ~ hskp9
    | c0_1(a15)
    | c1_1(a15)
    | epred7_0
    | epred60_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_474]) ).

cnf(c_0_598,negated_conjecture,
    ( ~ hskp9
    | hskp1
    | c0_1(a15)
    | c1_1(a15)
    | epred9_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_475]) ).

cnf(c_0_599,negated_conjecture,
    ( ~ hskp3
    | hskp1
    | c0_1(a5)
    | c1_1(a5)
    | epred9_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_476,c_0_344]) ).

cnf(c_0_600,negated_conjecture,
    ( ~ hskp19
    | hskp1
    | epred9_0
    | hskp4
    | c0_1(a40)
    | c3_1(a40)
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_394,c_0_477]) ).

cnf(c_0_601,negated_conjecture,
    ( ~ c0_1(a2)
    | ~ hskp1
    | c1_1(a2)
    | epred15_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_334,c_0_478]) ).

cnf(c_0_602,negated_conjecture,
    ( ~ c0_1(a2)
    | ~ hskp1
    | c1_1(a2)
    | epred4_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_334,c_0_479]) ).

cnf(c_0_603,negated_conjecture,
    ( ~ hskp19
    | epred7_0
    | epred10_0
    | epred17_0
    | epred45_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_480,c_0_481]) ).

cnf(c_0_604,negated_conjecture,
    ( ~ hskp9
    | hskp2
    | c0_1(a15)
    | c1_1(a15)
    | epred7_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_482]) ).

cnf(c_0_605,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a33)
    | epred17_0
    | hskp21
    | hskp11
    | c1_1(a33) ),
    inference(spm,[status(thm)],[c_0_457,c_0_483]) ).

cnf(c_0_606,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a33)
    | epred17_0
    | c1_1(a33)
    | epred59_0 ),
    inference(spm,[status(thm)],[c_0_484,c_0_483]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ hskp9
    | c1_1(a15)
    | epred13_0
    | epred32_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_485]) ).

cnf(c_0_608,negated_conjecture,
    ( ~ hskp9
    | hskp1
    | c1_1(a15)
    | epred9_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_419,c_0_486]) ).

cnf(c_0_609,negated_conjecture,
    ( ~ hskp9
    | hskp21
    | c1_1(a15)
    | epred32_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_365]) ).

cnf(c_0_610,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a48)
    | epred2_0
    | hskp17
    | hskp5
    | c0_1(a48) ),
    inference(spm,[status(thm)],[c_0_468,c_0_487]) ).

cnf(c_0_611,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a48)
    | epred2_0
    | c0_1(a48)
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_145,c_0_487]) ).

cnf(c_0_612,negated_conjecture,
    ( ~ hskp12
    | hskp27
    | hskp1
    | c0_1(a20)
    | c2_1(a20) ),
    inference(spm,[status(thm)],[c_0_162,c_0_488]) ).

cnf(c_0_613,negated_conjecture,
    ( ~ hskp5
    | hskp9
    | hskp8
    | c0_1(a8)
    | c2_1(a8) ),
    inference(spm,[status(thm)],[c_0_489,c_0_490]) ).

cnf(c_0_614,negated_conjecture,
    ( ~ hskp17
    | hskp9
    | hskp11
    | c3_1(a33)
    | c1_1(a33) ),
    inference(spm,[status(thm)],[c_0_491,c_0_331]) ).

cnf(c_0_615,negated_conjecture,
    ( ~ hskp25
    | hskp17
    | hskp1
    | c3_1(a73)
    | c1_1(a73) ),
    inference(spm,[status(thm)],[c_0_492,c_0_188]) ).

cnf(c_0_616,negated_conjecture,
    ( ~ hskp3
    | hskp4
    | hskp0
    | c0_1(a5)
    | c1_1(a5) ),
    inference(spm,[status(thm)],[c_0_493,c_0_344]) ).

cnf(c_0_617,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a40)
    | hskp26
    | hskp16
    | c0_1(a40) ),
    inference(spm,[status(thm)],[c_0_494,c_0_276]) ).

cnf(c_0_618,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a13)
    | hskp17
    | hskp5
    | c0_1(a13) ),
    inference(spm,[status(thm)],[c_0_468,c_0_264]) ).

cnf(c_0_619,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a40)
    | hskp17
    | hskp5
    | c0_1(a40) ),
    inference(spm,[status(thm)],[c_0_468,c_0_276]) ).

cnf(c_0_620,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a19)
    | hskp17
    | hskp5
    | c0_1(a19) ),
    inference(spm,[status(thm)],[c_0_468,c_0_170]) ).

cnf(c_0_621,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a73)
    | c1_1(a73)
    | epred59_0 ),
    inference(spm,[status(thm)],[c_0_484,c_0_190]) ).

cnf(c_0_622,negated_conjecture,
    ( ~ c0_1(a33)
    | ~ hskp17
    | c2_1(a33)
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_332,c_0_177]) ).

cnf(c_0_623,negated_conjecture,
    ( ~ c0_1(a8)
    | ~ hskp5
    | c2_1(a8)
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_489,c_0_177]) ).

cnf(c_0_624,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a3)
    | c1_1(a3)
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_269]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ c2_1(a40)
    | ~ hskp19
    | c1_1(a40)
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_278,c_0_422]) ).

cnf(c_0_626,negated_conjecture,
    ( ~ c2_1(a33)
    | ~ hskp17
    | c1_1(a33)
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_332,c_0_422]) ).

cnf(c_0_627,negated_conjecture,
    ( ~ hskp19
    | c0_1(a40)
    | c1_1(a40)
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_311,c_0_276]) ).

cnf(c_0_628,negated_conjecture,
    ( ~ hskp3
    | c0_1(a5)
    | c1_1(a5)
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_311,c_0_344]) ).

cnf(c_0_629,negated_conjecture,
    ( ~ hskp22
    | hskp13
    | c0_1(a48)
    | c3_1(a48)
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_495,c_0_348]) ).

cnf(c_0_630,negated_conjecture,
    ( ~ hskp2
    | hskp21
    | c2_1(a3)
    | c1_1(a3)
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_280,c_0_269]) ).

cnf(c_0_631,negated_conjecture,
    ( ~ hskp22
    | hskp28
    | c0_1(a48)
    | c3_1(a48)
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_496,c_0_348]) ).

cnf(c_0_632,negated_conjecture,
    ( ~ hskp17
    | hskp3
    | c3_1(a33)
    | c1_1(a33)
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_497,c_0_331]) ).

cnf(c_0_633,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a8)
    | hskp3
    | c2_1(a8)
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_498,c_0_499]) ).

cnf(c_0_634,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1)
    | hskp3
    | c2_1(a1)
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_498,c_0_230]) ).

cnf(c_0_635,negated_conjecture,
    ( ~ hskp13
    | hskp5
    | c0_1(a22)
    | c1_1(a22)
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_500,c_0_501]) ).

cnf(c_0_636,negated_conjecture,
    ( ~ hskp2
    | hskp5
    | c0_1(a3)
    | c1_1(a3)
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_500,c_0_269]) ).

cnf(c_0_637,negated_conjecture,
    ( ~ hskp26
    | epred20_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_454,c_0_502]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ hskp21
    | hskp22
    | epred14_0
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_503,c_0_337]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ hskp18
    | hskp22
    | epred14_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_504,c_0_505]) ).

cnf(c_0_640,negated_conjecture,
    ( ~ hskp15
    | hskp22
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_506]),c_0_507]),c_0_508]) ).

cnf(c_0_641,negated_conjecture,
    ( ~ hskp19
    | hskp1
    | epred10_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_509]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ hskp22
    | epred58_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_469]),c_0_511]) ).

cnf(c_0_643,negated_conjecture,
    ( ~ hskp5
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_499]),c_0_512]),c_0_489]) ).

cnf(c_0_644,negated_conjecture,
    ( ~ hskp26
    | epred33_0
    | epred51_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_513,c_0_502]) ).

cnf(c_0_645,negated_conjecture,
    ( ~ hskp22
    | hskp1
    | epred5_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_514,c_0_515]) ).

cnf(c_0_646,negated_conjecture,
    ( ~ hskp0
    | epred19_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_516,c_0_343]) ).

cnf(c_0_647,negated_conjecture,
    ( ~ epred24_0
    | ~ epred48_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_518]),c_0_519]) ).

cnf(c_0_648,negated_conjecture,
    ( ~ hskp20
    | epred17_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_649,negated_conjecture,
    ( ~ hskp19
    | c1_1(a40)
    | epred47_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_335]),c_0_277]) ).

cnf(c_0_650,negated_conjecture,
    ( ~ hskp4
    | epred47_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_335]),c_0_393]),c_0_356]) ).

cnf(c_0_651,negated_conjecture,
    ( ~ hskp8
    | epred19_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_523]) ).

cnf(c_0_652,negated_conjecture,
    ( ~ hskp9
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_275]),c_0_419]),c_0_420]) ).

cnf(c_0_653,negated_conjecture,
    ( ~ hskp12
    | hskp2
    | epred2_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_223,c_0_524]) ).

cnf(c_0_654,negated_conjecture,
    ( hskp9
    | epred10_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_525,c_0_123]) ).

cnf(c_0_655,negated_conjecture,
    ( hskp9
    | hskp22
    | hskp20
    | epred3_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_526,c_0_527]) ).

cnf(c_0_656,negated_conjecture,
    ( ~ hskp0
    | epred19_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_528,c_0_343]) ).

cnf(c_0_657,negated_conjecture,
    ( ~ hskp0
    | epred6_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_528,c_0_324]) ).

cnf(c_0_658,negated_conjecture,
    ( ~ hskp28
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_529]),c_0_249]),c_0_250]) ).

cnf(c_0_659,negated_conjecture,
    ( hskp9
    | epred19_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_530,c_0_123]) ).

cnf(c_0_660,negated_conjecture,
    ( hskp9
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_531,c_0_123]) ).

cnf(c_0_661,negated_conjecture,
    ( ~ hskp2
    | c0_1(a3)
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_269]),c_0_271]) ).

cnf(c_0_662,negated_conjecture,
    ( ~ hskp1
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_532]),c_0_333]),c_0_533]) ).

cnf(c_0_663,negated_conjecture,
    ( ~ hskp22
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_534]),c_0_348]),c_0_390]) ).

cnf(c_0_664,negated_conjecture,
    ( ~ hskp5
    | c0_1(a8)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_534]),c_0_499]) ).

cnf(c_0_665,negated_conjecture,
    ( ~ hskp22
    | epred5_0
    | epred45_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_535,c_0_515]) ).

cnf(c_0_666,negated_conjecture,
    ( ~ hskp5
    | hskp4
    | c0_1(a8)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_499]),c_0_489]) ).

cnf(c_0_667,negated_conjecture,
    ( ~ hskp17
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_359]),c_0_331]),c_0_536]) ).

cnf(c_0_668,negated_conjecture,
    ( ~ epred11_0
    | epred4_0
    | epred10_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_537,c_0_538]) ).

cnf(c_0_669,negated_conjecture,
    ( ~ hskp8
    | epred1_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_540]),c_0_541]) ).

cnf(c_0_670,negated_conjecture,
    ( ~ hskp9
    | epred1_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_541,c_0_542]) ).

cnf(c_0_671,negated_conjecture,
    ( hskp22
    | hskp11
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_541,c_0_543]) ).

cnf(c_0_672,negated_conjecture,
    ( ~ hskp5
    | c0_1(a8)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_232]),c_0_499]) ).

cnf(c_0_673,negated_conjecture,
    ( ~ hskp5
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_173]),c_0_499]),c_0_512]) ).

cnf(c_0_674,negated_conjecture,
    ( ~ hskp1
    | epred54_0
    | epred57_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_226]),c_0_333]) ).

cnf(c_0_675,negated_conjecture,
    ( ~ hskp3
    | epred48_0
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_344]),c_0_345]) ).

cnf(c_0_676,negated_conjecture,
    ( ~ hskp17
    | epred51_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_331]),c_0_536]) ).

cnf(c_0_677,negated_conjecture,
    ( ~ hskp16
    | epred51_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_545]),c_0_546]) ).

cnf(c_0_678,negated_conjecture,
    ( ~ hskp1
    | epred51_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_333]),c_0_533]) ).

cnf(c_0_679,negated_conjecture,
    ( ~ hskp1
    | epred15_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_333]),c_0_533]) ).

cnf(c_0_680,negated_conjecture,
    ( ~ hskp1
    | epred17_0
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_274]),c_0_333]) ).

cnf(c_0_681,negated_conjecture,
    ( ~ hskp22
    | epred6_0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_548]),c_0_348]) ).

cnf(c_0_682,negated_conjecture,
    ( ~ epred36_0
    | ~ epred48_0
    | ~ epred54_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_549,c_0_320]),c_0_152]),c_0_221]) ).

cnf(c_0_683,negated_conjecture,
    ( ~ epred52_0
    | ~ epred56_0
    | ~ epred61_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_550,c_0_160]),c_0_266]),c_0_184]) ).

cnf(c_0_684,negated_conjecture,
    ( ~ epred17_0
    | ~ epred33_0
    | ~ epred48_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_551,c_0_320]),c_0_159]),c_0_194]) ).

cnf(c_0_685,negated_conjecture,
    ( ~ epred40_0
    | ~ epred53_0
    | ~ epred60_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_552,c_0_319]),c_0_202]),c_0_127]) ).

cnf(c_0_686,negated_conjecture,
    ( ~ epred23_0
    | ~ epred54_0
    | ~ epred59_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_553,c_0_364]),c_0_409]),c_0_152]) ).

cnf(c_0_687,negated_conjecture,
    ( ~ epred33_0
    | ~ epred57_0
    | ~ epred58_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_554,c_0_153]),c_0_295]),c_0_194]) ).

cnf(c_0_688,negated_conjecture,
    ( ~ epred13_0
    | ~ epred55_0
    | ~ epred56_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_555,c_0_282]),c_0_184]),c_0_128]) ).

cnf(c_0_689,negated_conjecture,
    ( ~ epred19_0
    | ~ epred46_0
    | ~ epred54_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_556,c_0_222]),c_0_152]),c_0_195]) ).

cnf(c_0_690,negated_conjecture,
    ( ~ epred8_0
    | ~ epred45_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_557,c_0_160]),c_0_207]),c_0_314]) ).

cnf(c_0_691,negated_conjecture,
    ( ~ epred2_0
    | ~ epred21_0
    | ~ epred51_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_558,c_0_161]),c_0_150]),c_0_411]) ).

cnf(c_0_692,negated_conjecture,
    ( ~ epred48_0
    | ~ epred49_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_559,c_0_320]),c_0_197]),c_0_138]) ).

cnf(c_0_693,negated_conjecture,
    ( ~ epred17_0
    | ~ epred46_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_560,c_0_222]),c_0_244]),c_0_159]) ).

cnf(c_0_694,negated_conjecture,
    ( ~ epred2_0
    | ~ epred44_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_561,c_0_213]),c_0_207]),c_0_150]) ).

cnf(c_0_695,negated_conjecture,
    ( ~ epred35_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_562,c_0_374]),c_0_221]) ).

cnf(c_0_696,negated_conjecture,
    ( ~ epred32_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_563,c_0_212]),c_0_194]) ).

cnf(c_0_697,negated_conjecture,
    ( ~ epred30_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_564,c_0_375]),c_0_310]) ).

cnf(c_0_698,negated_conjecture,
    ( ~ epred10_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_565,c_0_376]),c_0_132]) ).

cnf(c_0_699,negated_conjecture,
    ( ~ epred25_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_566,c_0_377]),c_0_272]) ).

cnf(c_0_700,negated_conjecture,
    ( ~ epred20_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_567,c_0_179]),c_0_411]) ).

cnf(c_0_701,negated_conjecture,
    ( ~ epred18_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_568,c_0_236]),c_0_195]) ).

cnf(c_0_702,negated_conjecture,
    ( ~ epred14_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_569,c_0_186]),c_0_273]) ).

cnf(c_0_703,negated_conjecture,
    ( ~ epred12_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_570,c_0_193]),c_0_128]) ).

cnf(c_0_704,negated_conjecture,
    ( ~ epred9_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_571,c_0_245]),c_0_132]) ).

cnf(c_0_705,negated_conjecture,
    ( ~ epred7_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_572,c_0_211]),c_0_314]) ).

cnf(c_0_706,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_573,c_0_299]),c_0_183]) ).

cnf(c_0_707,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_574,c_0_198]),c_0_151]) ).

cnf(c_0_708,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_575,c_0_315]),c_0_150]) ).

cnf(c_0_709,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a5) ),
    c_0_576 ).

cnf(c_0_710,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a22) ),
    c_0_577 ).

cnf(c_0_711,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    c_0_578 ).

cnf(c_0_712,negated_conjecture,
    ( hskp19
    | hskp22
    | hskp17 ),
    clause36 ).

cnf(c_0_713,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_614,c_0_615,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_622,c_0_623,c_0_624,c_0_625,c_0_626,c_0_627,c_0_628,c_0_629,c_0_630,c_0_631,c_0_632,c_0_633,c_0_634,c_0_635,c_0_636,c_0_637,c_0_454,c_0_638,c_0_462,c_0_639,c_0_640,c_0_641,c_0_509,c_0_642,c_0_643,c_0_644,c_0_466,c_0_511,c_0_477,c_0_645,c_0_514,c_0_646,c_0_647,c_0_648,c_0_649,c_0_650,c_0_651,c_0_652,c_0_481,c_0_653,c_0_187,c_0_654,c_0_403,c_0_655,c_0_656,c_0_657,c_0_658,c_0_659,c_0_530,c_0_342,c_0_660,c_0_661,c_0_662,c_0_663,c_0_664,c_0_665,c_0_515,c_0_343,c_0_666,c_0_667,c_0_668,c_0_218,c_0_362,c_0_220,c_0_669,c_0_670,c_0_671,c_0_541,c_0_672,c_0_673,c_0_542,c_0_674,c_0_675,c_0_676,c_0_677,c_0_678,c_0_679,c_0_680,c_0_681,c_0_682,c_0_683,c_0_684,c_0_685,c_0_686,c_0_687,c_0_688,c_0_689,c_0_690,c_0_517,c_0_691,c_0_692,c_0_693,c_0_694,c_0_695,c_0_696,c_0_697,c_0_698,c_0_699,c_0_396,c_0_700,c_0_701,c_0_702,c_0_703,c_0_537,c_0_704,c_0_705,c_0_706,c_0_707,c_0_708,c_0_231,c_0_533,c_0_271,c_0_270,c_0_345,c_0_709,c_0_356,c_0_393,c_0_512,c_0_172,c_0_165,c_0_164,c_0_710,c_0_711,c_0_536,c_0_332,c_0_278,c_0_277,c_0_329,c_0_349,c_0_390,c_0_154,c_0_420,c_0_419,c_0_171,c_0_348,c_0_263,c_0_344,c_0_276,c_0_333,c_0_331,c_0_328,c_0_188,c_0_543,c_0_712,c_0_527,c_0_123]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN500-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.43  % Computer : n005.cluster.edu
% 0.16/5.43  % Model    : x86_64 x86_64
% 0.16/5.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43  % Memory   : 8046.5625MB
% 0.16/5.43  % OS       : Linux 6.8.0-71-generic
% 0.16/5.43  % CPULimit : 300
% 0.16/5.43  % WCLimit  : 300
% 0.16/5.43  % DateTime : Mon Sep 21 11:03:24 UTC 2026
% 0.16/5.44  % CPUTime  : 
% 0.16/5.44  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/5.51  Running first-order theorem proving
% 0.20/5.51  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 11.54/7.06  % Version: 3.5.1
% 11.54/7.06  % Preprocessing class: FSLSSLSMSSSNFFN.
% 11.54/7.06  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.54/7.06  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 11.54/7.06  % Starting new_bool_3 with 300s (1) cores
% 11.54/7.06  % Starting new_bool_1 with 300s (1) cores
% 11.54/7.06  % Starting sh5l with 300s (1) cores
% 11.54/7.06  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3305524 completed with status 0
% 11.54/7.06  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 11.54/7.06  % Preprocessing class: FSLSSLSMSSSNFFN.
% 11.54/7.06  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.54/7.06  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 11.54/7.06  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.54/7.06  % No SInE strategy applied
% 11.54/7.06  % Search class: FGHNF-FSMM00-SFFFFFNN
% 11.54/7.06  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 11.54/7.06  % Starting SubtermCWHack with 151s (1) cores
% 11.54/7.06  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 11.54/7.06  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 11.54/7.06  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 11.54/7.06  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 11.54/7.06  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3305530 completed with status 0
% 11.54/7.06  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 11.54/7.06  % Preprocessing class: FSLSSLSMSSSNFFN.
% 11.54/7.06  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.54/7.06  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 11.54/7.06  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.54/7.06  % No SInE strategy applied
% 11.54/7.06  % Search class: FGHNF-FSMM00-SFFFFFNN
% 11.54/7.06  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 11.54/7.06  % Starting SubtermCWHack with 151s (1) cores
% 11.54/7.06  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 11.54/7.06  % Preprocessing time       : 0.002 s
% 11.54/7.06  % SatCheck found unsatisfiable ground set
% 11.54/7.06  
% 11.54/7.06  % Proof found!
% 11.54/7.06  % SZS status Unsatisfiable
% 11.54/7.06  % SZS output start CNFRefutation
% See solution above
% 11.54/7.07  % Parsed axioms                        : 200
% 11.54/7.07  % Removed by relevancy pruning/SinE    : 0
% 11.54/7.07  % Initial clauses                      : 200
% 11.54/7.07  % Removed in clause preprocessing      : 0
% 11.54/7.07  % Initial clauses in saturation        : 200
% 11.54/7.07  % Processed clauses                    : 7067
% 11.54/7.07  % ...of these trivial                  : 0
% 11.54/7.07  % ...subsumed                          : 2067
% 11.54/7.07  % ...remaining for further processing  : 5000
% 11.54/7.07  % Other redundant clauses eliminated   : 0
% 11.54/7.07  % Clauses deleted for lack of memory   : 0
% 11.54/7.07  % Backward-subsumed                    : 1272
% 11.54/7.07  % Backward-rewritten                   : 55
% 11.54/7.07  % Generated clauses                    : 57310
% 11.54/7.07  % ...of the previous two non-redundant : 53711
% 11.54/7.07  % ...aggressively subsumed             : 0
% 11.54/7.07  % Contextual simplify-reflections      : 484
% 11.54/7.07  % Paramodulations                      : 57201
% 11.54/7.07  % Factorizations                       : 0
% 11.54/7.07  % NegExts                              : 0
% 11.54/7.07  % Equation resolutions                 : 0
% 11.54/7.07  % Disequality decompositions           : 0
% 11.54/7.07  % Total rewrite steps                  : 88
% 11.54/7.07  % ...of those cached                   : 87
% 11.54/7.07  % Propositional unsat checks           : 1
% 11.54/7.07  %    Propositional check models        : 0
% 11.54/7.07  %    Propositional check unsatisfiable : 1
% 11.54/7.07  %    Propositional clauses             : 50080
% 11.54/7.07  %    Propositional clauses after purity: 49607
% 11.54/7.07  %    Propositional unsat core size     : 189
% 11.54/7.07  %    Propositional preprocessing time  : 0.000
% 11.54/7.07  %    Propositional encoding time       : 0.022
% 11.54/7.07  %    Propositional solver time         : 0.056
% 11.54/7.07  %    Success case prop preproc time    : 0.000
% 11.54/7.07  %    Success case prop encoding time   : 0.022
% 11.54/7.07  %    Success case prop solver time     : 0.056
% 11.54/7.07  % Current number of processed clauses  : 3626
% 11.54/7.07  %    Positive orientable unit clauses  : 1
% 11.54/7.07  %    Positive unorientable unit clauses: 0
% 11.54/7.07  %    Negative unit clauses             : 0
% 11.54/7.07  %    Non-unit-clauses                  : 3625
% 11.54/7.07  % Current number of unprocessed clauses: 46454
% 11.54/7.07  % ...number of literals in the above   : 298850
% 11.54/7.07  % Current number of archived formulas  : 0
% 11.54/7.07  % Current number of archived clauses   : 1327
% 11.54/7.07  % Clause-clause subsumption calls (NU) : 3981813
% 11.54/7.07  % Rec. Clause-clause subsumption calls : 361077
% 11.54/7.07  % Non-unit clause-clause subsumptions  : 3931
% 11.54/7.07  % Unit Clause-clause subsumption calls : 6
% 11.54/7.07  % Rewrite failures with RHS unbound    : 0
% 11.54/7.07  % BW rewrite match attempts            : 1
% 11.54/7.07  % BW rewrite match successes           : 1
% 11.54/7.07  % Condensation attempts                : 7067
% 11.54/7.07  % Condensation successes               : 0
% 11.54/7.07  % Termbank termtop insertions          : 524916
% 11.54/7.07  % Search garbage collected termcells   : 533
% 11.54/7.07  
% 11.54/7.07  % -------------------------------------------------
% 11.54/7.07  % User time                : 1.422 s
% 11.54/7.07  % System time              : 0.057 s
% 11.54/7.07  % Total time               : 1.479 s
% 11.54/7.07  % Maximum resident set size: 4000 pages
% 11.54/7.07  
% 11.54/7.07  % -------------------------------------------------
% 11.54/7.07  % User time                : 7.056 s
% 11.54/7.07  % System time              : 0.208 s
% 11.54/7.07  % Total time               : 7.264 s
% 11.54/7.07  % Maximum resident set size: 5120 pages
% 11.54/7.07  % E exiting
%------------------------------------------------------------------------------