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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN452-1 : 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 03:24:31 PM UTC 2026

% Result   : Unsatisfiable 21.36s 3.64s
% Output   : CNFRefutation 21.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  173
% Syntax   : Number of formulae    :  756 (   2 unt;   0 def)
%            Number of atoms       : 2956 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3541 (1341   ~;2157   |;   0   &)
%                                         (  43 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   77 (  76 usr;  73 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  322 (   0 sgn  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause7,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

cnf(clause17,negated_conjecture,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

cnf(clause1,negated_conjecture,
    ( hskp24
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause115,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a830) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

cnf(clause116,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a830) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

cnf(clause63,negated_conjecture,
    ( ~ hskp14
    | c0_1(a842) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

cnf(clause64,negated_conjecture,
    ( ~ hskp14
    | c1_1(a842) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

cnf(clause107,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a842) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

cnf(clause88,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a878) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(clause53,negated_conjecture,
    ( ~ hskp24
    | c1_1(a878) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

cnf(clause114,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a830) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(clause128,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a815) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(clause85,negated_conjecture,
    ( ~ hskp0
    | c1_1(a815) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

cnf(clause74,negated_conjecture,
    ( ~ hskp7
    | c0_1(a828) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(clause118,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a828) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

cnf(clause69,negated_conjecture,
    ( ~ hskp11
    | c2_1(a835) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(clause110,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a835) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(clause70,negated_conjecture,
    ( ~ hskp11
    | c3_1(a835) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(clause40,negated_conjecture,
    ( ~ hskp29
    | c2_1(a865) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

cnf(clause39,negated_conjecture,
    ( ~ hskp29
    | c1_1(a865) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

cnf(clause41,negated_conjecture,
    ( ~ hskp29
    | c3_1(a865) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

cnf(clause171,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp29
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

cnf(clause67,negated_conjecture,
    ( ~ hskp12
    | c0_1(a838) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

cnf(clause109,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a838) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(clause68,negated_conjecture,
    ( ~ hskp12
    | c2_1(a838) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

cnf(clause112,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a831) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(clause73,negated_conjecture,
    ( ~ hskp9
    | c3_1(a831) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(clause113,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a831) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(clause125,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a817) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(clause81,negated_conjecture,
    ( ~ hskp2
    | c2_1(a817) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(clause126,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a817) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(clause82,negated_conjecture,
    ( ~ hskp1
    | c0_1(a816) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

cnf(clause83,negated_conjecture,
    ( ~ hskp1
    | c3_1(a816) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

cnf(clause127,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a816) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(clause148,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

cnf(clause143,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp22
    | hskp14
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

cnf(clause145,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | hskp14
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

cnf(clause57,negated_conjecture,
    ( ~ hskp20
    | c3_1(a856) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

cnf(clause95,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a856) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

cnf(clause96,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a856) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

cnf(clause149,negated_conjecture,
    ( ~ ndr1_0
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

cnf(clause78,negated_conjecture,
    ( ~ hskp5
    | c3_1(a825) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(clause77,negated_conjecture,
    ( ~ hskp5
    | c1_1(a825) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(clause120,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a825) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(clause52,negated_conjecture,
    ( ~ hskp25
    | c2_1(a892) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

cnf(clause51,negated_conjecture,
    ( ~ hskp25
    | c1_1(a892) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

cnf(clause86,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a892) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

cnf(clause87,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a878) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(clause58,negated_conjecture,
    ( ~ hskp18
    | c1_1(a854) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(clause101,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a854) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

cnf(clause100,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a854) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

cnf(clause117,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a828) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(clause42,negated_conjecture,
    ( ~ hskp28
    | c0_1(a833) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

cnf(clause44,negated_conjecture,
    ( ~ hskp28
    | c3_1(a833) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

cnf(clause55,negated_conjecture,
    ( ~ hskp23
    | c3_1(a862) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

cnf(clause89,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a862) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(clause66,negated_conjecture,
    ( ~ hskp13
    | c3_1(a839) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(clause65,negated_conjecture,
    ( ~ hskp13
    | c1_1(a839) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

cnf(clause54,negated_conjecture,
    ( ~ hskp23
    | c0_1(a862) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

cnf(clause146,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp15
    | hskp14
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

cnf(clause119,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a827) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(clause76,negated_conjecture,
    ( ~ hskp6
    | c2_1(a827) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(clause108,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a839) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

cnf(clause80,negated_conjecture,
    ( ~ hskp3
    | c0_1(a820) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(clause123,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a820) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(clause124,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a820) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(clause139,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp22
    | hskp1
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

cnf(clause92,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a860) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

cnf(clause91,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a860) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

cnf(clause121,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a821) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(clause122,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a821) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(clause130,negated_conjecture,
    ( ~ ndr1_0
    | hskp0
    | hskp26
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(clause132,negated_conjecture,
    ( ~ ndr1_0
    | hskp4
    | hskp7
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

cnf(clause137,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | hskp12
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

cnf(clause136,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp13
    | hskp12
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

cnf(clause140,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | hskp14
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

cnf(clause144,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | hskp29
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

cnf(clause142,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | hskp21
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

cnf(clause147,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp2
    | hskp1
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

cnf(clause43,negated_conjecture,
    ( ~ hskp28
    | c1_1(a833) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(clause172,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

cnf(clause48,negated_conjecture,
    ( ~ hskp26
    | c0_1(a818) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

cnf(clause49,negated_conjecture,
    ( ~ hskp26
    | c1_1(a818) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

cnf(clause37,negated_conjecture,
    ( hskp13
    | hskp5
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

cnf(clause56,negated_conjecture,
    ( ~ hskp21
    | c0_1(a857) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

cnf(clause93,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a857) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

cnf(clause94,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a857) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(clause97,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a855) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

cnf(clause98,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a855) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

cnf(clause99,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a855) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

cnf(clause84,negated_conjecture,
    ( ~ hskp0
    | c0_1(a815) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

cnf(clause90,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a860) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(clause33,negated_conjecture,
    ( hskp11
    | hskp12
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

cnf(clause62,negated_conjecture,
    ( ~ hskp15
    | c2_1(a844) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(clause50,negated_conjecture,
    ( ~ hskp26
    | c2_1(a818) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

cnf(clause79,negated_conjecture,
    ( ~ hskp4
    | c2_1(a821) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(clause45,negated_conjecture,
    ( ~ hskp27
    | c0_1(a826) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

cnf(clause32,negated_conjecture,
    ( hskp20
    | hskp24
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

cnf(clause36,negated_conjecture,
    ( hskp5
    | hskp25
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

cnf(clause75,negated_conjecture,
    ( ~ hskp6
    | c1_1(a827) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(clause34,negated_conjecture,
    ( hskp9
    | hskp18
    | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

cnf(clause59,negated_conjecture,
    ( ~ hskp17
    | c1_1(a852) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(clause102,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a852) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

cnf(clause103,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a852) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

cnf(clause176,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

cnf(clause179,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c0_1(X3)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

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

cnf(clause174,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

cnf(clause173,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

cnf(clause167,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(clause166,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c0_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(clause168,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

cnf(clause169,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp20
    | c1_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

cnf(clause159,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp3
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

cnf(clause162,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

cnf(clause160,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

cnf(clause164,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(clause165,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

cnf(clause161,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp26
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(clause154,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

cnf(clause155,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp2
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

cnf(clause156,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp8
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

cnf(clause151,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

cnf(clause152,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp4
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

cnf(clause153,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp5
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

cnf(clause150,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

cnf(clause106,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a844) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

cnf(clause105,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a844) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(clause47,negated_conjecture,
    ( ~ hskp27
    | c3_1(a826) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

cnf(clause46,negated_conjecture,
    ( ~ hskp27
    | c2_1(a826) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

cnf(c_0_130,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause7]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ hskp14
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause17]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    c_0_130 ).

cnf(c_0_133,negated_conjecture,
    ( hskp24
    | hskp14 ),
    clause1 ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp14
    | ndr1_0 ),
    c_0_131 ).

fof(c_0_135,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_136,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_137,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a830) ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a830) ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

fof(c_0_139,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_140,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2)
        | ~ ndr1_0
        | hskp8 ) ),
    introduced(definition) ).

cnf(c_0_141,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp14
    | c0_1(a842) ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ hskp14
    | c1_1(a842) ),
    inference(fof_simplification,[status(thm)],[clause64]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a842) ),
    inference(fof_simplification,[status(thm)],[clause107]) ).

fof(c_0_145,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_146,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a878) ),
    inference(fof_simplification,[status(thm)],[clause88]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred43_0 ),
    inference(split_equiv,[status(thm)],[c_0_135]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred52_0 ),
    inference(split_equiv,[status(thm)],[c_0_136]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp24
    | c1_1(a878) ),
    inference(fof_simplification,[status(thm)],[clause53]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a830) ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

fof(c_0_151,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c0_1(X2)
        | c2_1(X2)
        | c1_1(X2)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_152,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a815) ),
    inference(fof_simplification,[status(thm)],[clause128]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ hskp0
    | c1_1(a815) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a830) ),
    c_0_137 ).

cnf(c_0_155,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a830) ),
    c_0_138 ).

cnf(c_0_156,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_139]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | epred40_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_140]),c_0_141])]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ hskp14
    | c0_1(a842) ),
    c_0_142 ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp14
    | c1_1(a842) ),
    c_0_143 ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a842) ),
    c_0_144 ).

fof(c_0_161,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | hskp29 ) ),
    introduced(definition) ).

cnf(c_0_162,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | epred35_0 ),
    inference(split_equiv,[status(thm)],[c_0_145]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a878) ),
    c_0_146 ).

cnf(c_0_164,negated_conjecture,
    ( ~ c1_1(X1)
    | c3_1(X1)
    | epred43_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ hskp24
    | c1_1(a878) ),
    c_0_149 ).

fof(c_0_166,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_167,negated_conjecture,
    ( ~ hskp7
    | c0_1(a828) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a828) ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

fof(c_0_169,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_170,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c0_1(X1)
        | hskp3 ) ),
    introduced(definition) ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp11
    | c2_1(a835) ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a835) ),
    inference(fof_simplification,[status(thm)],[clause110]) ).

fof(c_0_173,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_174,negated_conjecture,
    ( ~ hskp11
    | c3_1(a835) ),
    inference(fof_simplification,[status(thm)],[clause70]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a830) ),
    c_0_150 ).

cnf(c_0_176,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_151]),c_0_141])]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a815) ),
    c_0_152 ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp0
    | c1_1(a815) ),
    c_0_153 ).

cnf(c_0_179,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a830)
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_148]),c_0_155]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp8
    | c1_1(a830)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_156]),c_0_155]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a842)
    | hskp8
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).

cnf(c_0_182,negated_conjecture,
    ( ~ hskp14
    | c3_1(a842)
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_148]),c_0_159]) ).

fof(c_0_183,plain,
    ( ~ epred41_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_184,negated_conjecture,
    ( ~ hskp29
    | c2_1(a865) ),
    inference(fof_simplification,[status(thm)],[clause40]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ hskp29
    | c1_1(a865) ),
    inference(fof_simplification,[status(thm)],[clause39]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp29
    | c3_1(a865) ),
    inference(fof_simplification,[status(thm)],[clause41]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp29
    | c2_1(X1)
    | epred39_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_161]),c_0_141])]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp29
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause171]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a842)
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_158]),c_0_159]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp24
    | epred43_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | epred23_0 ),
    inference(split_equiv,[status(thm)],[c_0_166]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp7
    | c0_1(a828) ),
    c_0_167 ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a828) ),
    c_0_168 ).

cnf(c_0_194,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_169]) ).

fof(c_0_195,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_196,negated_conjecture,
    ( ~ hskp12
    | c0_1(a838) ),
    inference(fof_simplification,[status(thm)],[clause67]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a838) ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

fof(c_0_198,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_199,negated_conjecture,
    ( ~ hskp12
    | c2_1(a838) ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp3
    | c0_1(X1)
    | epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_141])]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp11
    | c2_1(a835) ),
    c_0_171 ).

cnf(c_0_202,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a835) ),
    c_0_172 ).

cnf(c_0_203,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_173]),c_0_141])]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ hskp11
    | c3_1(a835) ),
    c_0_174 ).

cnf(c_0_205,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a831) ),
    inference(fof_simplification,[status(thm)],[clause112]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ hskp9
    | c3_1(a831) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a831) ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a817) ),
    inference(fof_simplification,[status(thm)],[clause125]) ).

fof(c_0_209,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp2
    | c2_1(a817) ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a817) ),
    inference(fof_simplification,[status(thm)],[clause126]) ).

fof(c_0_212,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_213,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c0_1(X2)
        | c2_1(X2)
        | c1_1(X2)
        | hskp2 ) ),
    introduced(definition) ).

cnf(c_0_214,negated_conjecture,
    ( ~ hskp1
    | c0_1(a816) ),
    inference(fof_simplification,[status(thm)],[clause82]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp1
    | c3_1(a816) ),
    inference(fof_simplification,[status(thm)],[clause83]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a816) ),
    inference(fof_simplification,[status(thm)],[clause127]) ).

fof(c_0_217,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_218,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_219,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | hskp23 ),
    inference(fof_simplification,[status(thm)],[clause148]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp22
    | hskp14
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause143]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | hskp14
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause145]) ).

fof(c_0_222,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c1_1(X2)
        | hskp3 ) ),
    introduced(definition) ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp20
    | c3_1(a856) ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a856) ),
    inference(fof_simplification,[status(thm)],[clause95]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a856) ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ ndr1_0
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause149]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a830)
    | epred43_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_155,c_0_164]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ hskp8
    | hskp0
    | c1_1(a830)
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_154]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ hskp0
    | epred43_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_164]),c_0_178]) ).

cnf(c_0_230,negated_conjecture,
    ( ~ hskp8
    | epred4_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp14
    | hskp8
    | epred40_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred41_0 ),
    inference(split_equiv,[status(thm)],[c_0_183]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp29
    | c2_1(a865) ),
    c_0_184 ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp29
    | c1_1(a865) ),
    c_0_185 ).

cnf(c_0_235,negated_conjecture,
    ( ~ hskp29
    | c3_1(a865) ),
    c_0_186 ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a842)
    | hskp29
    | epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_158]),c_0_160]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp29
    | c2_1(X2) ),
    c_0_188 ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp14
    | epred35_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_182]) ).

cnf(c_0_239,negated_conjecture,
    ( hskp14
    | epred43_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_190,c_0_133]) ).

fof(c_0_240,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | ~ ndr1_0
        | c0_1(X2)
        | hskp9 ) ),
    introduced(definition) ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp5
    | c3_1(a825) ),
    inference(fof_simplification,[status(thm)],[clause78]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp5
    | c1_1(a825) ),
    inference(fof_simplification,[status(thm)],[clause77]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a825) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a828)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp7
    | c3_1(a828)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_192]),c_0_193]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ hskp25
    | c2_1(a892) ),
    inference(fof_simplification,[status(thm)],[clause52]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp25
    | c1_1(a892) ),
    inference(fof_simplification,[status(thm)],[clause51]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a892) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a878) ),
    inference(fof_simplification,[status(thm)],[clause87]) ).

fof(c_0_250,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c0_1(X2)
        | c2_1(X2)
        | hskp9 ) ),
    introduced(definition) ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp18
    | c1_1(a854) ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a854) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a854) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

fof(c_0_254,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | hskp23 ) ),
    introduced(definition) ).

fof(c_0_255,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_256,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a828) ),
    inference(fof_simplification,[status(thm)],[clause117]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp28
    | c0_1(a833) ),
    inference(fof_simplification,[status(thm)],[clause42]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ hskp28
    | c3_1(a833) ),
    inference(fof_simplification,[status(thm)],[clause44]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp23
    | c3_1(a862) ),
    inference(fof_simplification,[status(thm)],[clause55]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a862) ),
    inference(fof_simplification,[status(thm)],[clause89]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp13
    | c3_1(a839) ),
    inference(fof_simplification,[status(thm)],[clause66]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ hskp13
    | c1_1(a839) ),
    inference(fof_simplification,[status(thm)],[clause65]) ).

cnf(c_0_263,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | epred37_0 ),
    inference(split_equiv,[status(thm)],[c_0_195]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp12
    | c0_1(a838) ),
    c_0_196 ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a838) ),
    c_0_197 ).

cnf(c_0_266,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X1)
    | epred33_0 ),
    inference(split_equiv,[status(thm)],[c_0_198]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp12
    | c2_1(a838) ),
    c_0_199 ).

cnf(c_0_268,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a835)
    | hskp3
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp11
    | c1_1(a835)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).

fof(c_0_270,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp9 ) ),
    introduced(definition) ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a831) ),
    c_0_205 ).

cnf(c_0_272,negated_conjecture,
    ( ~ hskp9
    | c3_1(a831) ),
    c_0_206 ).

cnf(c_0_273,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a831) ),
    c_0_207 ).

cnf(c_0_274,negated_conjecture,
    ( ~ hskp23
    | c0_1(a862) ),
    inference(fof_simplification,[status(thm)],[clause54]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp15
    | hskp14
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause146]) ).

fof(c_0_276,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c0_1(X2)
        | c1_1(X2)
        | hskp2 ) ),
    introduced(definition) ).

cnf(c_0_277,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a827) ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp6
    | c2_1(a827) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a817) ),
    c_0_208 ).

cnf(c_0_280,negated_conjecture,
    ( ~ c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | epred42_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_209]),c_0_141])]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp2
    | c2_1(a817) ),
    c_0_210 ).

cnf(c_0_282,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a817) ),
    c_0_211 ).

cnf(c_0_283,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_212]) ).

cnf(c_0_284,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | epred16_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_213]),c_0_141])]) ).

fof(c_0_285,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c0_1(X2)
        | c2_1(X2)
        | hskp8 ) ),
    introduced(definition) ).

fof(c_0_286,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c0_1(X2)
        | c2_1(X2)
        | c1_1(X2)
        | hskp1 ) ),
    introduced(definition) ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp1
    | c0_1(a816) ),
    c_0_214 ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp1
    | c3_1(a816) ),
    c_0_215 ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a816) ),
    c_0_216 ).

cnf(c_0_290,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | epred8_0 ),
    inference(split_equiv,[status(thm)],[c_0_217]) ).

fof(c_0_291,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | c0_1(X1)
        | c2_1(X1)
        | hskp4 ) ),
    introduced(definition) ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a839) ),
    inference(fof_simplification,[status(thm)],[clause108]) ).

cnf(c_0_293,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_218]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | hskp23 ),
    c_0_219 ).

fof(c_0_295,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c2_1(X3)
        | ~ ndr1_0
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_296,negated_conjecture,
    ( ~ hskp3
    | c0_1(a820) ),
    inference(fof_simplification,[status(thm)],[clause80]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a820) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

fof(c_0_298,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_299,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a820) ),
    inference(fof_simplification,[status(thm)],[clause124]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp22
    | hskp1
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause139]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a860) ),
    inference(fof_simplification,[status(thm)],[clause92]) ).

cnf(c_0_302,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a860) ),
    inference(fof_simplification,[status(thm)],[clause91]) ).

cnf(c_0_303,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a821) ),
    inference(fof_simplification,[status(thm)],[clause121]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a821) ),
    inference(fof_simplification,[status(thm)],[clause122]) ).

cnf(c_0_305,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp22
    | hskp14
    | c1_1(X1) ),
    c_0_220 ).

cnf(c_0_306,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | hskp14
    | c3_1(X1) ),
    c_0_221 ).

fof(c_0_307,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp19 ) ),
    introduced(definition) ).

fof(c_0_308,plain,
    ( ~ epred53_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | ~ ndr1_0
        | c0_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_309,negated_conjecture,
    ( ~ ndr1_0
    | hskp0
    | hskp26
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause130]) ).

cnf(c_0_310,negated_conjecture,
    ( ~ ndr1_0
    | hskp4
    | hskp7
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

fof(c_0_311,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | hskp20 ) ),
    introduced(definition) ).

cnf(c_0_312,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | hskp12
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause137]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp13
    | hskp12
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause136]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | hskp14
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause140]) ).

cnf(c_0_315,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | hskp29
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_316,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | hskp21
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause142]) ).

cnf(c_0_317,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp2
    | hskp1
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause147]) ).

cnf(c_0_318,negated_conjecture,
    ( ~ hskp28
    | c1_1(a833) ),
    inference(fof_simplification,[status(thm)],[clause43]) ).

cnf(c_0_319,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp3
    | c1_1(X1)
    | c2_1(X1)
    | epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_222]),c_0_141])]) ).

cnf(c_0_320,negated_conjecture,
    ( ~ hskp20
    | c3_1(a856) ),
    c_0_223 ).

cnf(c_0_321,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a856) ),
    c_0_224 ).

cnf(c_0_322,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a856) ),
    c_0_225 ).

cnf(c_0_323,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp8 ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_324,negated_conjecture,
    ( ~ ndr1_0
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_226 ).

cnf(c_0_325,negated_conjecture,
    ( ~ hskp8
    | epred3_0
    | epred43_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ hskp14
    | epred4_0
    | epred40_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_327,negated_conjecture,
    ( ~ hskp29
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),c_0_235]) ).

cnf(c_0_328,negated_conjecture,
    ( ~ hskp14
    | hskp29
    | epred39_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_236,c_0_182]) ).

cnf(c_0_329,negated_conjecture,
    ( ~ epred35_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_237,c_0_161]),c_0_145]) ).

cnf(c_0_330,negated_conjecture,
    ( epred35_0
    | epred43_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_331,negated_conjecture,
    ( ~ hskp26
    | c0_1(a818) ),
    inference(fof_simplification,[status(thm)],[clause48]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp26
    | c1_1(a818) ),
    inference(fof_simplification,[status(thm)],[clause49]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp9
    | c0_1(X1)
    | epred36_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_240]),c_0_141])]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ hskp5
    | c3_1(a825) ),
    c_0_241 ).

cnf(c_0_335,negated_conjecture,
    ( ~ hskp5
    | c1_1(a825) ),
    c_0_242 ).

cnf(c_0_336,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a825) ),
    c_0_243 ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp7
    | epred6_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_338,negated_conjecture,
    ( hskp13
    | hskp5
    | hskp7 ),
    clause37 ).

cnf(c_0_339,negated_conjecture,
    ( ~ hskp25
    | c2_1(a892) ),
    c_0_246 ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp25
    | c1_1(a892) ),
    c_0_247 ).

cnf(c_0_341,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a892) ),
    c_0_248 ).

cnf(c_0_342,negated_conjecture,
    ( ~ hskp21
    | c0_1(a857) ),
    inference(fof_simplification,[status(thm)],[clause56]) ).

cnf(c_0_343,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a857) ),
    inference(fof_simplification,[status(thm)],[clause93]) ).

cnf(c_0_344,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a857) ),
    inference(fof_simplification,[status(thm)],[clause94]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a855) ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

cnf(c_0_346,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a855) ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_347,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a855) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a878) ),
    c_0_249 ).

cnf(c_0_349,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp9
    | c2_1(X1)
    | c0_1(X1)
    | epred26_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_250]),c_0_141])]) ).

fof(c_0_350,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_351,negated_conjecture,
    ( ~ hskp18
    | c1_1(a854) ),
    c_0_251 ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a854) ),
    c_0_252 ).

cnf(c_0_353,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a854) ),
    c_0_253 ).

cnf(c_0_354,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp23
    | c2_1(X1)
    | c3_1(X1)
    | epred22_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_254]),c_0_141])]) ).

fof(c_0_355,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_356,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c0_1(X2)
        | c3_1(X2)
        | hskp26 ) ),
    introduced(definition) ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a835)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_201]),c_0_204]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ hskp0
    | c0_1(a815) ),
    inference(fof_simplification,[status(thm)],[clause84]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a860) ),
    inference(fof_simplification,[status(thm)],[clause90]) ).

fof(c_0_360,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c0_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | hskp5 ) ),
    introduced(definition) ).

cnf(c_0_361,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred15_0 ),
    inference(split_equiv,[status(thm)],[c_0_255]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a828) ),
    c_0_256 ).

fof(c_0_363,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp28
    | c0_1(a833) ),
    c_0_257 ).

cnf(c_0_365,negated_conjecture,
    ( ~ hskp28
    | c3_1(a833) ),
    c_0_258 ).

cnf(c_0_366,negated_conjecture,
    ( ~ hskp23
    | c3_1(a862) ),
    c_0_259 ).

cnf(c_0_367,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a862) ),
    c_0_260 ).

cnf(c_0_368,negated_conjecture,
    ( ~ hskp13
    | c3_1(a839) ),
    c_0_261 ).

cnf(c_0_369,negated_conjecture,
    ( ~ hskp13
    | c1_1(a839) ),
    c_0_262 ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a838)
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]) ).

cnf(c_0_371,negated_conjecture,
    ( ~ hskp12
    | c1_1(a838)
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_264]),c_0_267]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp11
    | hskp3
    | epred1_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_373,negated_conjecture,
    ( hskp11
    | hskp12
    | hskp14 ),
    clause33 ).

cnf(c_0_374,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X1)
    | epred25_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_270]),c_0_141])]) ).

cnf(c_0_375,negated_conjecture,
    ( ~ hskp9
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_203]),c_0_272]),c_0_273]) ).

cnf(c_0_376,negated_conjecture,
    ( ~ hskp23
    | c0_1(a862) ),
    c_0_274 ).

cnf(c_0_377,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp15
    | hskp14
    | c3_1(X1) ),
    c_0_275 ).

cnf(c_0_378,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp2
    | c1_1(X1)
    | c0_1(X1)
    | epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_276]),c_0_141])]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a827) ),
    c_0_277 ).

cnf(c_0_380,negated_conjecture,
    ( ~ hskp6
    | c2_1(a827) ),
    c_0_278 ).

cnf(c_0_381,negated_conjecture,
    ( ~ hskp2
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_281]),c_0_282]) ).

cnf(c_0_382,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c2_1(X1)
    | epred10_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_383,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp8
    | c2_1(X1)
    | c0_1(X1)
    | epred11_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_285]),c_0_141])]) ).

cnf(c_0_384,negated_conjecture,
    ( hskp1
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_286]),c_0_141])]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ hskp1
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_287]),c_0_288]),c_0_289]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred8_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_263,c_0_290]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp4
    | c2_1(X1)
    | c0_1(X1)
    | epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_291]),c_0_141])]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a839) ),
    c_0_292 ).

cnf(c_0_389,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred2_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_266,c_0_293]) ).

cnf(c_0_390,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred2_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_293]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ hskp15
    | c2_1(a844) ),
    inference(fof_simplification,[status(thm)],[clause62]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | hskp3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_141])]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_295]),c_0_141])]) ).

cnf(c_0_394,negated_conjecture,
    ( ~ hskp3
    | c0_1(a820) ),
    c_0_296 ).

cnf(c_0_395,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a820) ),
    c_0_297 ).

fof(c_0_396,plain,
    ( ~ epred44_0
  <=> ! [X3] :
        ( ~ ndr1_0
        | c3_1(X3)
        | c2_1(X3)
        | c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_397,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | epred17_0 ),
    inference(split_equiv,[status(thm)],[c_0_298]) ).

cnf(c_0_398,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a820) ),
    c_0_299 ).

cnf(c_0_399,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp22
    | hskp1
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_300 ).

cnf(c_0_400,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a860) ),
    c_0_301 ).

cnf(c_0_401,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a860) ),
    c_0_302 ).

cnf(c_0_402,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a821) ),
    c_0_303 ).

cnf(c_0_403,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a821) ),
    c_0_304 ).

cnf(c_0_404,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp14
    | hskp22
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_141])]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp14
    | hskp7
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_141])]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ hskp26
    | c2_1(a818) ),
    inference(fof_simplification,[status(thm)],[clause50]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ hskp4
    | c2_1(a821) ),
    inference(fof_simplification,[status(thm)],[clause79]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c2_1(X1)
    | epred32_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_307]),c_0_141])]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | epred53_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_308]),c_0_141])]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ ndr1_0
    | hskp0
    | hskp26
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_309 ).

cnf(c_0_411,negated_conjecture,
    ( ~ ndr1_0
    | hskp4
    | hskp7
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_310 ).

cnf(c_0_412,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp20
    | c1_1(X1)
    | epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_311]),c_0_141])]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | hskp12
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_312 ).

cnf(c_0_414,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp13
    | hskp12
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_313 ).

cnf(c_0_415,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | hskp14
    | c0_1(X1) ),
    c_0_314 ).

cnf(c_0_416,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | hskp29
    | c2_1(X1) ),
    c_0_315 ).

cnf(c_0_417,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | hskp21
    | c1_1(X1) ),
    c_0_316 ).

cnf(c_0_418,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp2
    | hskp1
    | c3_1(X1) ),
    c_0_317 ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp27
    | c0_1(a826) ),
    inference(fof_simplification,[status(thm)],[clause45]) ).

fof(c_0_420,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ c1_1(X3)
        | ~ ndr1_0
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_421,negated_conjecture,
    ( ~ hskp28
    | c1_1(a833) ),
    c_0_318 ).

cnf(c_0_422,negated_conjecture,
    ( ~ hskp20
    | hskp3
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_321]),c_0_322]) ).

cnf(c_0_423,negated_conjecture,
    ( hskp20
    | hskp24
    | hskp28 ),
    clause32 ).

cnf(c_0_424,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp8 ),
    c_0_323 ).

cnf(c_0_425,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_324,c_0_151]),c_0_139]) ).

cnf(c_0_426,negated_conjecture,
    ( epred3_0
    | epred40_0
    | epred43_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_231]),c_0_239]) ).

cnf(c_0_427,negated_conjecture,
    ( epred4_0
    | epred40_0
    | epred43_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_326,c_0_239]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ hskp14
    | epred39_0
    | epred41_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ epred39_0
    | epred43_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_329,c_0_330]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ hskp26
    | c0_1(a818) ),
    c_0_331 ).

cnf(c_0_431,negated_conjecture,
    ( ~ hskp26
    | c1_1(a818) ),
    c_0_332 ).

cnf(c_0_432,negated_conjecture,
    ( ~ hskp5
    | hskp9
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_335]),c_0_336]) ).

cnf(c_0_433,negated_conjecture,
    ( hskp13
    | hskp5
    | epred6_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ hskp25
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_339]),c_0_340]),c_0_341]) ).

cnf(c_0_435,negated_conjecture,
    ( hskp5
    | hskp25
    | hskp23 ),
    clause36 ).

cnf(c_0_436,negated_conjecture,
    ( ~ hskp21
    | c0_1(a857) ),
    c_0_342 ).

cnf(c_0_437,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a857) ),
    c_0_343 ).

cnf(c_0_438,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a857) ),
    c_0_344 ).

cnf(c_0_439,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a855) ),
    c_0_345 ).

cnf(c_0_440,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a855) ),
    c_0_346 ).

cnf(c_0_441,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a855) ),
    c_0_347 ).

cnf(c_0_442,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a817)
    | hskp3
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_281]),c_0_279]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ hskp2
    | c1_1(a817)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_293]),c_0_282]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ hskp6
    | c1_1(a827) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

fof(c_0_445,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c0_1(X2)
        | c3_1(X2)
        | hskp6 ) ),
    introduced(definition) ).

cnf(c_0_446,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a878)
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_280]),c_0_163]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ hskp24
    | hskp9
    | c2_1(a878)
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_165]),c_0_348]) ).

cnf(c_0_448,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | epred29_0 ),
    inference(split_equiv,[status(thm)],[c_0_350]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ hskp18
    | hskp9
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_351]),c_0_352]),c_0_353]) ).

cnf(c_0_450,negated_conjecture,
    ( hskp9
    | hskp18
    | hskp27 ),
    clause34 ).

cnf(c_0_451,negated_conjecture,
    ( ~ hskp24
    | hskp23
    | c2_1(a878)
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_165]),c_0_163]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ hskp17
    | c1_1(a852) ),
    inference(fof_simplification,[status(thm)],[clause59]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a852) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a852) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred49_0 ),
    inference(split_equiv,[status(thm)],[c_0_355]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp26
    | c3_1(X1)
    | c0_1(X1)
    | epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_356]),c_0_141])]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a817)
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_281]),c_0_282]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ hskp11
    | epred1_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_357,c_0_269]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ hskp0
    | c0_1(a815) ),
    c_0_358 ).

cnf(c_0_460,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a860) ),
    c_0_359 ).

fof(c_0_461,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_462,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_360]),c_0_141])]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a828)
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_361]),c_0_362]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ hskp7
    | c3_1(a828)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_156]),c_0_362]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | epred21_0 ),
    inference(split_equiv,[status(thm)],[c_0_363]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause176]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c0_1(X3)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause179]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c0_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause178]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause174]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_471,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause167]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c0_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause166]) ).

cnf(c_0_473,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause168]) ).

cnf(c_0_474,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp20
    | c1_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause169]) ).

cnf(c_0_475,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp3
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause159]) ).

cnf(c_0_476,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause162]) ).

cnf(c_0_477,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause160]) ).

cnf(c_0_478,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause164]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause165]) ).

cnf(c_0_480,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp26
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause161]) ).

cnf(c_0_481,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause154]) ).

cnf(c_0_482,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp2
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause155]) ).

cnf(c_0_483,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp8
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause156]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause151]) ).

cnf(c_0_485,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp4
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause152]) ).

cnf(c_0_486,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp5
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause153]) ).

cnf(c_0_487,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_488,negated_conjecture,
    ( ~ hskp28
    | hskp29
    | c2_1(a833)
    | epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_364]),c_0_365]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ hskp23
    | hskp3
    | c2_1(a862)
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_366]),c_0_367]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ hskp29
    | hskp9
    | c0_1(a865)
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_235]),c_0_234]) ).

cnf(c_0_491,negated_conjecture,
    ( ~ hskp13
    | hskp9
    | c0_1(a839)
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_368]),c_0_369]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ hskp12
    | epred33_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_370,c_0_371]) ).

cnf(c_0_493,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp3
    | epred1_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_372,c_0_373]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ hskp29
    | hskp3
    | c0_1(a865)
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_233]),c_0_234]) ).

cnf(c_0_495,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred1_0
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_203]),c_0_375]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ hskp23
    | hskp9
    | c2_1(a862)
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_376]),c_0_366]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp14
    | hskp15
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_141])]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ hskp0
    | hskp23
    | c2_1(a815)
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_178]),c_0_177]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ hskp20
    | hskp2
    | c0_1(a856)
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_320]),c_0_321]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ hskp6
    | c3_1(a827)
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_280]),c_0_380]) ).

cnf(c_0_501,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | epred10_0
    | epred16_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ hskp24
    | hskp8
    | c2_1(a878)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_165]),c_0_348]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred9_0
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_384]),c_0_385]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ c1_1(X1)
    | c3_1(X1)
    | epred8_0
    | epred37_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_386]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ hskp13
    | hskp4
    | c0_1(a839)
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_368]),c_0_388]) ).

cnf(c_0_506,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | epred2_0
    | epred10_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_389,c_0_390]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ hskp15
    | c2_1(a844) ),
    c_0_391 ).

cnf(c_0_508,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp23
    | hskp3
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ hskp5
    | hskp4
    | c2_1(a825)
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_334]),c_0_336]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a820)
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_394]),c_0_395]) ).

cnf(c_0_511,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred44_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_396]),c_0_141])]) ).

cnf(c_0_512,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred3_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_194,c_0_176]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ hskp23
    | c2_1(a862)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_376]),c_0_366]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a820)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_394]),c_0_398]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred1_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_203]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ hskp23
    | c2_1(a862)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_376]),c_0_367]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ hskp24
    | c2_1(a878)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_290]),c_0_163]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp22
    | hskp1
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_141])]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ hskp22
    | c3_1(a860)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_156]),c_0_401]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ hskp4
    | c3_1(a821)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_293]),c_0_403]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ hskp8
    | c1_1(a830)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_293]),c_0_155]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp14
    | hskp22
    | c1_1(X1)
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_404,c_0_361]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp14
    | hskp7
    | c3_1(X1)
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_405,c_0_148]) ).

cnf(c_0_524,negated_conjecture,
    ( ~ hskp26
    | c2_1(a818) ),
    c_0_406 ).

cnf(c_0_525,negated_conjecture,
    ( ~ hskp4
    | c2_1(a821) ),
    c_0_407 ).

cnf(c_0_526,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp19
    | c2_1(X1)
    | epred32_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_408,c_0_409]) ).

cnf(c_0_527,negated_conjecture,
    ( hskp26
    | hskp0
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_410,c_0_141])]) ).

cnf(c_0_528,negated_conjecture,
    ( hskp7
    | hskp4
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_411,c_0_141])]) ).

cnf(c_0_529,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp20
    | c1_1(X1)
    | epred15_0
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_361]) ).

cnf(c_0_530,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp17
    | hskp12
    | c1_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_413,c_0_141])]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp13
    | hskp12
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_414,c_0_141])]) ).

cnf(c_0_532,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp14
    | hskp13
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_415,c_0_141])]) ).

cnf(c_0_533,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp29
    | hskp19
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_416,c_0_141])]) ).

cnf(c_0_534,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | hskp13
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_417,c_0_141])]) ).

cnf(c_0_535,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp2
    | hskp1
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_418,c_0_141])]) ).

cnf(c_0_536,negated_conjecture,
    ( ~ hskp27
    | c0_1(a826) ),
    c_0_419 ).

cnf(c_0_537,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | epred50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_420]),c_0_141])]) ).

cnf(c_0_538,negated_conjecture,
    ( ~ hskp28
    | hskp8
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_364]),c_0_421]),c_0_365]) ).

cnf(c_0_539,negated_conjecture,
    ( hskp24
    | hskp28
    | hskp3
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_422,c_0_423]) ).

cnf(c_0_540,negated_conjecture,
    ( ~ epred40_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_424,c_0_140]),c_0_183]) ).

cnf(c_0_541,negated_conjecture,
    ( epred40_0
    | epred43_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_427]) ).

cnf(c_0_542,negated_conjecture,
    ( epred41_0
    | epred43_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_239]),c_0_429]) ).

cnf(c_0_543,negated_conjecture,
    ( ~ hskp14
    | hskp23
    | c3_1(a842)
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_159]),c_0_160]) ).

cnf(c_0_544,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a818)
    | hskp8
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_430]),c_0_431]) ).

cnf(c_0_545,negated_conjecture,
    ( ~ hskp26
    | c3_1(a818)
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_430]),c_0_431]) ).

cnf(c_0_546,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a862)
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_376]),c_0_367]) ).

cnf(c_0_547,negated_conjecture,
    ( hskp13
    | hskp9
    | epred6_0
    | epred23_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_432,c_0_433]) ).

cnf(c_0_548,negated_conjecture,
    ( hskp23
    | hskp5
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_434,c_0_435]) ).

cnf(c_0_549,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a857)
    | hskp19
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_436]),c_0_437]) ).

cnf(c_0_550,negated_conjecture,
    ( ~ hskp21
    | c1_1(a857)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_156]),c_0_438]) ).

cnf(c_0_551,negated_conjecture,
    ( ~ hskp19
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_293]),c_0_440]),c_0_441]) ).

cnf(c_0_552,negated_conjecture,
    ( ~ hskp14
    | hskp19
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_158]),c_0_159]),c_0_160]) ).

cnf(c_0_553,negated_conjecture,
    ( ~ hskp2
    | hskp3
    | epred2_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_442,c_0_443]) ).

cnf(c_0_554,negated_conjecture,
    ( ~ hskp9
    | hskp2
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_272]),c_0_273]),c_0_271]) ).

cnf(c_0_555,negated_conjecture,
    ( ~ hskp6
    | c1_1(a827) ),
    c_0_444 ).

cnf(c_0_556,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp6
    | c3_1(X1)
    | c0_1(X1)
    | epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_445]),c_0_141])]) ).

cnf(c_0_557,negated_conjecture,
    ( ~ hskp24
    | hskp9
    | epred26_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_446,c_0_447]) ).

cnf(c_0_558,negated_conjecture,
    ( ~ hskp9
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_448]),c_0_272]),c_0_273]) ).

cnf(c_0_559,negated_conjecture,
    ( hskp27
    | hskp9
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_449,c_0_450]) ).

cnf(c_0_560,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a842)
    | hskp9
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_158]),c_0_160]) ).

cnf(c_0_561,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a828)
    | hskp9
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_192]),c_0_193]) ).

cnf(c_0_562,negated_conjecture,
    ( ~ hskp24
    | hskp23
    | epred22_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_446,c_0_451]) ).

cnf(c_0_563,negated_conjecture,
    ( ~ hskp17
    | c1_1(a852) ),
    c_0_452 ).

cnf(c_0_564,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a852) ),
    c_0_453 ).

cnf(c_0_565,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a852) ),
    c_0_454 ).

cnf(c_0_566,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a842)
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_455]),c_0_159]) ).

cnf(c_0_567,negated_conjecture,
    ( ~ hskp24
    | hskp26
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_165]),c_0_163]),c_0_348]) ).

cnf(c_0_568,negated_conjecture,
    ( ~ hskp2
    | epred2_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_457,c_0_443]) ).

cnf(c_0_569,negated_conjecture,
    ( hskp14
    | hskp12
    | epred1_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_458,c_0_373]) ).

cnf(c_0_570,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a842)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_158]),c_0_160]) ).

cnf(c_0_571,negated_conjecture,
    ( ~ hskp14
    | c3_1(a842)
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_158]),c_0_159]) ).

cnf(c_0_572,negated_conjecture,
    ( ~ hskp0
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_459]),c_0_178]),c_0_177]) ).

cnf(c_0_573,negated_conjecture,
    ( ~ hskp22
    | hskp0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_176]),c_0_401]),c_0_400]) ).

cnf(c_0_574,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | c1_1(X1)
    | epred31_0 ),
    inference(split_equiv,[status(thm)],[c_0_461]) ).

cnf(c_0_575,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a821)
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_448]),c_0_403]) ).

cnf(c_0_576,negated_conjecture,
    ( ~ hskp14
    | c3_1(a842)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_158]),c_0_160]) ).

cnf(c_0_577,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a860)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_203]),c_0_401]) ).

cnf(c_0_578,negated_conjecture,
    ( ~ hskp22
    | hskp5
    | c3_1(a860)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_462]),c_0_400]) ).

cnf(c_0_579,negated_conjecture,
    ( ~ hskp7
    | epred4_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_463,c_0_464]) ).

cnf(c_0_580,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a860)
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_361]),c_0_401]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ hskp22
    | c3_1(a860)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_293]),c_0_401]) ).

cnf(c_0_582,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | epred21_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_465,c_0_409]) ).

cnf(c_0_583,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c2_1(X1) ),
    c_0_466 ).

cnf(c_0_584,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c0_1(X3)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_467 ).

cnf(c_0_585,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c0_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_468 ).

cnf(c_0_586,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_469 ).

cnf(c_0_587,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X1) ),
    c_0_470 ).

cnf(c_0_588,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_471 ).

cnf(c_0_589,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c0_1(X2)
    | c3_1(X1) ),
    c_0_472 ).

cnf(c_0_590,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_473 ).

cnf(c_0_591,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp20
    | c1_1(X2)
    | c1_1(X1) ),
    c_0_474 ).

cnf(c_0_592,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp3
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_475 ).

cnf(c_0_593,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    c_0_476 ).

cnf(c_0_594,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_477 ).

cnf(c_0_595,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_478 ).

cnf(c_0_596,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    c_0_479 ).

cnf(c_0_597,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp26
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_480 ).

cnf(c_0_598,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    c_0_481 ).

cnf(c_0_599,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp2
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_482 ).

cnf(c_0_600,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp8
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_483 ).

cnf(c_0_601,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_484 ).

cnf(c_0_602,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp4
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_485 ).

cnf(c_0_603,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp5
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_486 ).

cnf(c_0_604,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_487 ).

cnf(c_0_605,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a844) ),
    inference(fof_simplification,[status(thm)],[clause106]) ).

cnf(c_0_606,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a844) ),
    inference(fof_simplification,[status(thm)],[clause105]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ hskp27
    | c3_1(a826) ),
    inference(fof_simplification,[status(thm)],[clause47]) ).

cnf(c_0_608,negated_conjecture,
    ( ~ hskp27
    | c2_1(a826) ),
    inference(fof_simplification,[status(thm)],[clause46]) ).

cnf(c_0_609,negated_conjecture,
    ( ~ hskp28
    | ~ c1_1(a833)
    | ~ c3_1(a833)
    | hskp29
    | epred39_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_232,c_0_488]) ).

cnf(c_0_610,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a862)
    | hskp3
    | epred38_0
    | hskp20
    | c1_1(a862)
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_489]) ).

cnf(c_0_611,negated_conjecture,
    ( ~ hskp29
    | ~ c2_1(a865)
    | ~ c3_1(a865)
    | hskp9
    | epred36_0
    | hskp23
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_392,c_0_490]) ).

cnf(c_0_612,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a839)
    | hskp9
    | epred36_0
    | c2_1(a839)
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_491]) ).

cnf(c_0_613,negated_conjecture,
    ( hskp14
    | hskp3
    | epred1_0
    | epred28_0
    | epred33_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_614,negated_conjecture,
    ( ~ hskp29
    | ~ c2_1(a865)
    | ~ c3_1(a865)
    | epred28_0
    | hskp23
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_392,c_0_494]) ).

cnf(c_0_615,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a878)
    | hskp9
    | epred26_0
    | hskp14
    | hskp7
    | c3_1(a878) ),
    inference(spm,[status(thm)],[c_0_405,c_0_447]) ).

cnf(c_0_616,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a878)
    | hskp9
    | epred26_0
    | c3_1(a878)
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_447]) ).

cnf(c_0_617,negated_conjecture,
    ( ~ c3_1(a856)
    | ~ hskp20
    | c1_1(a856)
    | epred1_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_322,c_0_495]) ).

cnf(c_0_618,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a862)
    | hskp9
    | epred25_0
    | hskp20
    | c1_1(a862)
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_496]) ).

cnf(c_0_619,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a878)
    | hskp23
    | epred22_0
    | hskp14
    | hskp15
    | c3_1(a878) ),
    inference(spm,[status(thm)],[c_0_497,c_0_451]) ).

cnf(c_0_620,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a878)
    | hskp23
    | epred22_0
    | hskp14
    | hskp7
    | c3_1(a878) ),
    inference(spm,[status(thm)],[c_0_405,c_0_451]) ).

cnf(c_0_621,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a878)
    | hskp23
    | epred22_0
    | c3_1(a878)
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_451]) ).

cnf(c_0_622,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a815)
    | hskp23
    | epred22_0
    | c3_1(a815)
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_498]) ).

cnf(c_0_623,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a856)
    | hskp2
    | epred14_0
    | c2_1(a856)
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_499]) ).

cnf(c_0_624,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a827)
    | epred42_0
    | hskp9
    | c0_1(a827)
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_333,c_0_500]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ hskp8
    | c1_1(a830)
    | epred10_0
    | epred16_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_154,c_0_501]) ).

cnf(c_0_626,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a878)
    | hskp8
    | epred11_0
    | hskp14
    | hskp7
    | c3_1(a878) ),
    inference(spm,[status(thm)],[c_0_405,c_0_502]) ).

cnf(c_0_627,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a878)
    | hskp8
    | epred11_0
    | c3_1(a878)
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_502]) ).

cnf(c_0_628,negated_conjecture,
    ( ~ c3_1(a856)
    | ~ hskp20
    | c1_1(a856)
    | epred9_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_322,c_0_503]) ).

cnf(c_0_629,negated_conjecture,
    ( ~ c1_1(a878)
    | ~ hskp24
    | epred8_0
    | epred37_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_163,c_0_504]) ).

cnf(c_0_630,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a839)
    | hskp4
    | epred7_0
    | c2_1(a839)
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_505]) ).

cnf(c_0_631,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a839)
    | hskp4
    | epred7_0
    | c2_1(a839)
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_465,c_0_505]) ).

cnf(c_0_632,negated_conjecture,
    ( ~ hskp3
    | c1_1(a820)
    | epred2_0
    | epred10_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_506]) ).

cnf(c_0_633,negated_conjecture,
    ( ~ hskp15
    | c1_1(a844)
    | c3_1(a844)
    | epred2_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_389,c_0_507]) ).

cnf(c_0_634,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a825)
    | hskp4
    | epred7_0
    | hskp23
    | hskp3
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_508,c_0_509]) ).

cnf(c_0_635,negated_conjecture,
    ( ~ hskp3
    | c1_1(a820)
    | c3_1(a820)
    | epred44_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_511]) ).

cnf(c_0_636,negated_conjecture,
    ( ~ hskp3
    | c1_1(a820)
    | c3_1(a820)
    | epred4_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_156]) ).

cnf(c_0_637,negated_conjecture,
    ( ~ hskp3
    | hskp0
    | c1_1(a820)
    | c3_1(a820)
    | epred3_0
    | epred6_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_512]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a862)
    | epred23_0
    | hskp14
    | hskp22
    | c1_1(a862) ),
    inference(spm,[status(thm)],[c_0_404,c_0_513]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a862)
    | epred23_0
    | hskp20
    | c1_1(a862)
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_513]) ).

cnf(c_0_640,negated_conjecture,
    ( ~ hskp3
    | c1_1(a820)
    | c3_1(a820)
    | epred4_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_514,c_0_156]) ).

cnf(c_0_641,negated_conjecture,
    ( ~ hskp3
    | hskp0
    | c1_1(a820)
    | c3_1(a820)
    | epred3_0
    | epred6_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_514,c_0_512]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ c3_1(a856)
    | ~ hskp20
    | c1_1(a856)
    | epred1_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_322,c_0_515]) ).

cnf(c_0_643,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a862)
    | epred10_0
    | hskp20
    | c1_1(a862)
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_516]) ).

cnf(c_0_644,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a878)
    | epred8_0
    | hskp14
    | hskp7
    | c3_1(a878) ),
    inference(spm,[status(thm)],[c_0_405,c_0_517]) ).

cnf(c_0_645,negated_conjecture,
    ( ~ hskp8
    | hskp0
    | epred3_0
    | hskp22
    | hskp1
    | c2_1(a830)
    | c3_1(a830) ),
    inference(spm,[status(thm)],[c_0_518,c_0_228]) ).

cnf(c_0_646,negated_conjecture,
    ( ~ hskp8
    | hskp0
    | epred3_0
    | hskp9
    | c2_1(a830)
    | c0_1(a830)
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_228]) ).

cnf(c_0_647,negated_conjecture,
    ( ~ hskp8
    | hskp0
    | epred3_0
    | hskp23
    | c2_1(a830)
    | c3_1(a830)
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_354,c_0_228]) ).

cnf(c_0_648,negated_conjecture,
    ( ~ hskp22
    | epred4_0
    | hskp2
    | c1_1(a860)
    | c0_1(a860)
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_378,c_0_519]) ).

cnf(c_0_649,negated_conjecture,
    ( ~ hskp8
    | epred4_0
    | hskp22
    | hskp1
    | c2_1(a830)
    | c3_1(a830) ),
    inference(spm,[status(thm)],[c_0_518,c_0_180]) ).

cnf(c_0_650,negated_conjecture,
    ( ~ hskp8
    | epred4_0
    | hskp9
    | c2_1(a830)
    | c0_1(a830)
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_180]) ).

cnf(c_0_651,negated_conjecture,
    ( ~ hskp4
    | epred2_0
    | hskp2
    | c1_1(a821)
    | c0_1(a821)
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_378,c_0_520]) ).

cnf(c_0_652,negated_conjecture,
    ( ~ hskp8
    | epred2_0
    | hskp22
    | hskp1
    | c2_1(a830)
    | c3_1(a830) ),
    inference(spm,[status(thm)],[c_0_518,c_0_521]) ).

cnf(c_0_653,negated_conjecture,
    ( ~ hskp8
    | epred2_0
    | hskp9
    | c2_1(a830)
    | c0_1(a830)
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_521]) ).

cnf(c_0_654,negated_conjecture,
    ( ~ hskp9
    | hskp14
    | hskp22
    | c1_1(a831)
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_272]) ).

cnf(c_0_655,negated_conjecture,
    ( ~ hskp24
    | hskp14
    | hskp7
    | c3_1(a878)
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_523,c_0_165]) ).

cnf(c_0_656,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a818)
    | hskp23
    | hskp3
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_508,c_0_524]) ).

cnf(c_0_657,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a821)
    | hskp23
    | hskp3
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_508,c_0_525]) ).

cnf(c_0_658,negated_conjecture,
    ( ~ hskp13
    | hskp19
    | c2_1(a839)
    | epred32_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_526,c_0_369]) ).

cnf(c_0_659,negated_conjecture,
    ( ~ hskp4
    | hskp26
    | hskp0
    | c1_1(a821)
    | c3_1(a821) ),
    inference(spm,[status(thm)],[c_0_402,c_0_527]) ).

cnf(c_0_660,negated_conjecture,
    ( ~ hskp8
    | hskp7
    | hskp4
    | c2_1(a830)
    | c3_1(a830) ),
    inference(spm,[status(thm)],[c_0_175,c_0_528]) ).

cnf(c_0_661,negated_conjecture,
    ( ~ hskp24
    | hskp22
    | hskp1
    | c2_1(a878)
    | c3_1(a878) ),
    inference(spm,[status(thm)],[c_0_518,c_0_165]) ).

cnf(c_0_662,negated_conjecture,
    ( ~ hskp14
    | hskp22
    | hskp1
    | c2_1(a842)
    | c3_1(a842) ),
    inference(spm,[status(thm)],[c_0_518,c_0_159]) ).

cnf(c_0_663,negated_conjecture,
    ( ~ hskp23
    | hskp20
    | c1_1(a862)
    | epred15_0
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_529,c_0_366]) ).

cnf(c_0_664,negated_conjecture,
    ( ~ hskp9
    | hskp20
    | c1_1(a831)
    | epred15_0
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_529,c_0_272]) ).

cnf(c_0_665,negated_conjecture,
    ( ~ hskp3
    | hskp17
    | hskp12
    | c1_1(a820)
    | c3_1(a820) ),
    inference(spm,[status(thm)],[c_0_530,c_0_394]) ).

cnf(c_0_666,negated_conjecture,
    ( ~ hskp24
    | hskp13
    | hskp12
    | c3_1(a878)
    | c0_1(a878) ),
    inference(spm,[status(thm)],[c_0_531,c_0_165]) ).

cnf(c_0_667,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a821)
    | hskp14
    | hskp22
    | c1_1(a821) ),
    inference(spm,[status(thm)],[c_0_404,c_0_525]) ).

cnf(c_0_668,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a825)
    | hskp14
    | hskp13
    | c0_1(a825) ),
    inference(spm,[status(thm)],[c_0_532,c_0_334]) ).

cnf(c_0_669,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a827)
    | hskp14
    | hskp7
    | c3_1(a827) ),
    inference(spm,[status(thm)],[c_0_405,c_0_380]) ).

cnf(c_0_670,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a817)
    | hskp14
    | hskp7
    | c3_1(a817) ),
    inference(spm,[status(thm)],[c_0_405,c_0_281]) ).

cnf(c_0_671,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a842)
    | hskp29
    | hskp19
    | c2_1(a842) ),
    inference(spm,[status(thm)],[c_0_533,c_0_158]) ).

cnf(c_0_672,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a862)
    | hskp21
    | hskp13
    | c1_1(a862) ),
    inference(spm,[status(thm)],[c_0_534,c_0_376]) ).

cnf(c_0_673,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a828)
    | hskp21
    | hskp13
    | c1_1(a828) ),
    inference(spm,[status(thm)],[c_0_534,c_0_192]) ).

cnf(c_0_674,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a892)
    | hskp2
    | hskp1
    | c3_1(a892) ),
    inference(spm,[status(thm)],[c_0_535,c_0_339]) ).

cnf(c_0_675,negated_conjecture,
    ( ~ hskp28
    | ~ c2_1(a833)
    | ~ c3_1(a833)
    | hskp23
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_392,c_0_364]) ).

cnf(c_0_676,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a826)
    | ~ c3_1(a826)
    | hskp23
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_392,c_0_536]) ).

cnf(c_0_677,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a818)
    | ~ c3_1(a818)
    | hskp23
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_392,c_0_430]) ).

cnf(c_0_678,negated_conjecture,
    ( ~ c1_1(a830)
    | ~ hskp8
    | c2_1(a830)
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_409]) ).

cnf(c_0_679,negated_conjecture,
    ( ~ c2_1(a827)
    | ~ c3_1(a827)
    | ~ hskp6
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_393]) ).

cnf(c_0_680,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | epred50_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_162,c_0_537]) ).

cnf(c_0_681,negated_conjecture,
    ( ~ c1_1(a878)
    | ~ c2_1(a878)
    | ~ hskp24
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_348,c_0_537]) ).

cnf(c_0_682,negated_conjecture,
    ( ~ c1_1(a827)
    | ~ c2_1(a827)
    | ~ hskp6
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_537]) ).

cnf(c_0_683,negated_conjecture,
    ( hskp24
    | hskp8
    | hskp3
    | epred38_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_538,c_0_539]) ).

cnf(c_0_684,negated_conjecture,
    ( epred43_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_541]),c_0_542]) ).

cnf(c_0_685,negated_conjecture,
    ( ~ hskp14
    | hskp23
    | hskp8
    | epred22_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_181,c_0_543]) ).

cnf(c_0_686,negated_conjecture,
    ( ~ hskp26
    | hskp8
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_545]) ).

cnf(c_0_687,negated_conjecture,
    ( ~ hskp23
    | hskp3
    | epred33_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_546,c_0_489]) ).

cnf(c_0_688,negated_conjecture,
    ( hskp13
    | epred1_0
    | epred6_0
    | epred23_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_547]) ).

cnf(c_0_689,negated_conjecture,
    ( hskp23
    | hskp9
    | epred36_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_432,c_0_548]) ).

cnf(c_0_690,negated_conjecture,
    ( ~ hskp21
    | hskp19
    | epred4_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_549,c_0_550]) ).

cnf(c_0_691,negated_conjecture,
    ( ~ hskp14
    | epred2_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_551,c_0_552]) ).

cnf(c_0_692,negated_conjecture,
    ( ~ hskp9
    | hskp3
    | epred2_0
    | epred14_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_553,c_0_554]) ).

cnf(c_0_693,negated_conjecture,
    ( ~ hskp6
    | hskp3
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_380]),c_0_555]),c_0_379]) ).

cnf(c_0_694,negated_conjecture,
    ( ~ hskp24
    | hskp6
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_165]),c_0_163]),c_0_348]) ).

cnf(c_0_695,negated_conjecture,
    ( hskp14
    | hskp9
    | epred26_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_557,c_0_133]) ).

cnf(c_0_696,negated_conjecture,
    ( hskp27
    | epred26_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_558,c_0_559]) ).

cnf(c_0_697,negated_conjecture,
    ( ~ hskp14
    | hskp23
    | hskp9
    | epred22_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_543]) ).

cnf(c_0_698,negated_conjecture,
    ( ~ hskp7
    | hskp9
    | epred4_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_561,c_0_464]) ).

cnf(c_0_699,negated_conjecture,
    ( hskp14
    | hskp23
    | epred22_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_562,c_0_133]) ).

cnf(c_0_700,negated_conjecture,
    ( ~ hskp17
    | hskp23
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_563]),c_0_564]),c_0_565]) ).

cnf(c_0_701,negated_conjecture,
    ( ~ hskp14
    | hskp23
    | epred22_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_566,c_0_543]) ).

cnf(c_0_702,negated_conjecture,
    ( ~ hskp14
    | hskp23
    | epred22_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_543]) ).

cnf(c_0_703,negated_conjecture,
    ( hskp14
    | hskp26
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_567,c_0_133]) ).

cnf(c_0_704,negated_conjecture,
    ( ~ hskp9
    | epred2_0
    | epred14_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_568,c_0_554]) ).

cnf(c_0_705,negated_conjecture,
    ( ~ hskp9
    | epred14_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_381,c_0_554]) ).

cnf(c_0_706,negated_conjecture,
    ( ~ hskp22
    | hskp1
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_384]),c_0_401]),c_0_400]) ).

cnf(c_0_707,negated_conjecture,
    ( ~ hskp13
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_455]),c_0_369]),c_0_368]) ).

cnf(c_0_708,negated_conjecture,
    ( ~ hskp26
    | c3_1(a818)
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_524]),c_0_431]) ).

cnf(c_0_709,negated_conjecture,
    ( hskp14
    | epred1_0
    | epred33_0
    | epred37_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_569]) ).

cnf(c_0_710,negated_conjecture,
    ( ~ hskp14
    | epred23_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_570,c_0_571]) ).

cnf(c_0_711,negated_conjecture,
    ( ~ hskp22
    | epred3_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_572,c_0_573]) ).

cnf(c_0_712,negated_conjecture,
    ( ~ hskp28
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_364]),c_0_421]),c_0_365]) ).

cnf(c_0_713,negated_conjecture,
    ( ~ hskp23
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_376]),c_0_366]),c_0_367]) ).

cnf(c_0_714,negated_conjecture,
    ( ~ hskp4
    | epred2_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_575,c_0_520]) ).

cnf(c_0_715,negated_conjecture,
    ( ~ hskp28
    | c2_1(a833)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_364]),c_0_365]) ).

cnf(c_0_716,negated_conjecture,
    ( ~ hskp14
    | epred6_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_570,c_0_576]) ).

cnf(c_0_717,negated_conjecture,
    ( ~ hskp7
    | epred4_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_244,c_0_464]) ).

cnf(c_0_718,negated_conjecture,
    ( ~ hskp14
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_158]),c_0_159]),c_0_160]) ).

cnf(c_0_719,negated_conjecture,
    ( ~ hskp26
    | c3_1(a818)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_430]),c_0_524]) ).

cnf(c_0_720,negated_conjecture,
    ( ~ hskp12
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_264]),c_0_267]),c_0_265]) ).

cnf(c_0_721,negated_conjecture,
    ( ~ hskp22
    | hskp5
    | epred1_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_577,c_0_578]) ).

cnf(c_0_722,negated_conjecture,
    ( ~ hskp20
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_361]),c_0_320]),c_0_321]) ).

cnf(c_0_723,negated_conjecture,
    ( hskp13
    | hskp5
    | epred4_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_579,c_0_338]) ).

cnf(c_0_724,negated_conjecture,
    ( ~ hskp8
    | hskp5
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_462]),c_0_154]),c_0_155]) ).

cnf(c_0_725,negated_conjecture,
    ( ~ hskp22
    | epred2_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_580,c_0_581]) ).

cnf(c_0_726,negated_conjecture,
    ( ~ hskp7
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_192]),c_0_362]),c_0_193]) ).

cnf(c_0_727,negated_conjecture,
    ( ~ hskp22
    | epred1_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_577,c_0_519]) ).

cnf(c_0_728,negated_conjecture,
    ( ~ hskp13
    | epred21_0
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_582]),c_0_369]) ).

cnf(c_0_729,negated_conjecture,
    ( ~ epred23_0
    | ~ epred49_0
    | ~ epred53_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_583,c_0_308]),c_0_355]),c_0_166]) ).

cnf(c_0_730,negated_conjecture,
    ( ~ epred33_0
    | ~ epred51_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_584,c_0_295]),c_0_136]),c_0_198]) ).

cnf(c_0_731,negated_conjecture,
    ( ~ epred15_0
    | ~ epred21_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_585,c_0_420]),c_0_363]),c_0_255]) ).

cnf(c_0_732,negated_conjecture,
    ( ~ epred10_0
    | ~ epred41_0
    | ~ epred44_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_586,c_0_396]),c_0_212]),c_0_183]) ).

cnf(c_0_733,negated_conjecture,
    ( ~ epred4_0
    | ~ epred42_0
    | ~ epred43_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_587,c_0_209]),c_0_135]),c_0_139]) ).

cnf(c_0_734,negated_conjecture,
    ( ~ epred35_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_588,c_0_222]),c_0_145]) ).

cnf(c_0_735,negated_conjecture,
    ( ~ epred36_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_589,c_0_240]),c_0_195]) ).

cnf(c_0_736,negated_conjecture,
    ( ~ epred32_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_590,c_0_307]),c_0_198]) ).

cnf(c_0_737,negated_conjecture,
    ( ~ epred30_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_591,c_0_311]),c_0_461]) ).

cnf(c_0_738,negated_conjecture,
    ( ~ epred28_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_592,c_0_170]),c_0_350]) ).

cnf(c_0_739,negated_conjecture,
    ( ~ epred17_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_593,c_0_445]),c_0_298]) ).

cnf(c_0_740,negated_conjecture,
    ( ~ epred23_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_594,c_0_250]),c_0_166]) ).

cnf(c_0_741,negated_conjecture,
    ( ~ epred10_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_595,c_0_270]),c_0_212]) ).

cnf(c_0_742,negated_conjecture,
    ( ~ epred22_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_596,c_0_254]),c_0_166]) ).

cnf(c_0_743,negated_conjecture,
    ( ~ epred20_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_597,c_0_356]),c_0_363]) ).

cnf(c_0_744,negated_conjecture,
    ( ~ epred16_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_598,c_0_213]),c_0_298]) ).

cnf(c_0_745,negated_conjecture,
    ( ~ epred14_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_599,c_0_276]),c_0_255]) ).

cnf(c_0_746,negated_conjecture,
    ( ~ epred6_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_600,c_0_285]),c_0_169]) ).

cnf(c_0_747,negated_conjecture,
    ( ~ epred9_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_601,c_0_286]),c_0_212]) ).

cnf(c_0_748,negated_conjecture,
    ( ~ epred7_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_602,c_0_291]),c_0_217]) ).

cnf(c_0_749,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_603,c_0_360]),c_0_169]) ).

cnf(c_0_750,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_604,c_0_173]),c_0_218]) ).

cnf(c_0_751,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a844) ),
    c_0_605 ).

cnf(c_0_752,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a844) ),
    c_0_606 ).

cnf(c_0_753,negated_conjecture,
    ( ~ hskp27
    | c3_1(a826) ),
    c_0_607 ).

cnf(c_0_754,negated_conjecture,
    ( ~ hskp27
    | c2_1(a826) ),
    c_0_608 ).

cnf(c_0_755,plain,
    $false,
    inference(cdclpropres,[status(thm)],[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_638,c_0_639,c_0_640,c_0_641,c_0_642,c_0_643,c_0_644,c_0_645,c_0_646,c_0_647,c_0_648,c_0_649,c_0_650,c_0_651,c_0_652,c_0_653,c_0_654,c_0_655,c_0_656,c_0_657,c_0_658,c_0_659,c_0_660,c_0_661,c_0_662,c_0_663,c_0_664,c_0_665,c_0_666,c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,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_538,c_0_686,c_0_488,c_0_236,c_0_687,c_0_422,c_0_688,c_0_547,c_0_689,c_0_432,c_0_690,c_0_691,c_0_692,c_0_693,c_0_553,c_0_694,c_0_695,c_0_696,c_0_697,c_0_698,c_0_699,c_0_451,c_0_700,c_0_701,c_0_702,c_0_543,c_0_703,c_0_567,c_0_704,c_0_705,c_0_446,c_0_381,c_0_706,c_0_707,c_0_708,c_0_548,c_0_327,c_0_709,c_0_545,c_0_710,c_0_492,c_0_711,c_0_572,c_0_712,c_0_713,c_0_558,c_0_714,c_0_575,c_0_715,c_0_716,c_0_570,c_0_433,c_0_717,c_0_337,c_0_385,c_0_718,c_0_719,c_0_720,c_0_721,c_0_722,c_0_723,c_0_724,c_0_579,c_0_725,c_0_726,c_0_464,c_0_727,c_0_520,c_0_443,c_0_551,c_0_375,c_0_728,c_0_729,c_0_730,c_0_731,c_0_732,c_0_733,c_0_540,c_0_329,c_0_734,c_0_735,c_0_736,c_0_737,c_0_738,c_0_739,c_0_740,c_0_741,c_0_742,c_0_743,c_0_744,c_0_745,c_0_746,c_0_747,c_0_748,c_0_749,c_0_425,c_0_750,c_0_177,c_0_282,c_0_398,c_0_395,c_0_402,c_0_403,c_0_336,c_0_379,c_0_362,c_0_175,c_0_155,c_0_154,c_0_273,c_0_388,c_0_751,c_0_752,c_0_322,c_0_321,c_0_460,c_0_401,c_0_367,c_0_341,c_0_348,c_0_163,c_0_160,c_0_334,c_0_368,c_0_320,c_0_366,c_0_753,c_0_365,c_0_235,c_0_380,c_0_524,c_0_754,c_0_233,c_0_178,c_0_335,c_0_555,c_0_369,c_0_159,c_0_165,c_0_340,c_0_421,c_0_234,c_0_435,c_0_423,c_0_133]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN452-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n005.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 10:58:04 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44  Running first-order theorem proving
% 0.15/0.44  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
% 21.36/3.64  % Version: 3.5.1
% 21.36/3.64  % Preprocessing class: FSLSSLSMSSSNFFN.
% 21.36/3.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.36/3.64  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 21.36/3.64  % Starting new_bool_3 with 300s (1) cores
% 21.36/3.64  % Starting new_bool_1 with 300s (1) cores
% 21.36/3.64  % Starting sh5l with 300s (1) cores
% 21.36/3.64  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3295814 completed with status 0
% 21.36/3.64  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 21.36/3.64  % Preprocessing class: FSLSSLSMSSSNFFN.
% 21.36/3.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.36/3.64  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 21.36/3.64  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.36/3.64  % No SInE strategy applied
% 21.36/3.64  % Search class: FGHNF-FSMM00-SFFFFFNN
% 21.36/3.64  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 21.36/3.64  % Starting SubtermCWHack with 151s (1) cores
% 21.36/3.64  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 21.36/3.64  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 21.36/3.64  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 21.36/3.64  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 21.36/3.64  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3295819 completed with status 0
% 21.36/3.64  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 21.36/3.64  % Preprocessing class: FSLSSLSMSSSNFFN.
% 21.36/3.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.36/3.64  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 21.36/3.64  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.36/3.64  % No SInE strategy applied
% 21.36/3.64  % Search class: FGHNF-FSMM00-SFFFFFNN
% 21.36/3.64  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 21.36/3.64  % Starting SubtermCWHack with 151s (1) cores
% 21.36/3.64  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 21.36/3.64  % Preprocessing time       : 0.002 s
% 21.36/3.64  % SatCheck found unsatisfiable ground set
% 21.36/3.64  
% 21.36/3.64  % Proof found!
% 21.36/3.64  % SZS status Unsatisfiable
% 21.36/3.64  % SZS output start CNFRefutation
% See solution above
% 21.36/3.65  % Parsed axioms                        : 180
% 21.36/3.65  % Removed by relevancy pruning/SinE    : 0
% 21.36/3.65  % Initial clauses                      : 180
% 21.36/3.65  % Removed in clause preprocessing      : 0
% 21.36/3.65  % Initial clauses in saturation        : 180
% 21.36/3.65  % Processed clauses                    : 6692
% 21.36/3.65  % ...of these trivial                  : 0
% 21.36/3.65  % ...subsumed                          : 1692
% 21.36/3.65  % ...remaining for further processing  : 5000
% 21.36/3.65  % Other redundant clauses eliminated   : 0
% 21.36/3.65  % Clauses deleted for lack of memory   : 0
% 21.36/3.65  % Backward-subsumed                    : 931
% 21.36/3.65  % Backward-rewritten                   : 50
% 21.36/3.65  % Generated clauses                    : 67039
% 21.36/3.65  % ...of the previous two non-redundant : 64244
% 21.36/3.65  % ...aggressively subsumed             : 0
% 21.36/3.65  % Contextual simplify-reflections      : 520
% 21.36/3.65  % Paramodulations                      : 66954
% 21.36/3.65  % Factorizations                       : 0
% 21.36/3.65  % NegExts                              : 0
% 21.36/3.65  % Equation resolutions                 : 0
% 21.36/3.65  % Disequality decompositions           : 0
% 21.36/3.65  % Total rewrite steps                  : 82
% 21.36/3.65  % ...of those cached                   : 81
% 21.36/3.65  % Propositional unsat checks           : 1
% 21.36/3.65  %    Propositional check models        : 0
% 21.36/3.65  %    Propositional check unsatisfiable : 1
% 21.36/3.65  %    Propositional clauses             : 61211
% 21.36/3.65  %    Propositional clauses after purity: 60628
% 21.36/3.65  %    Propositional unsat core size     : 222
% 21.36/3.65  %    Propositional preprocessing time  : 0.000
% 21.36/3.65  %    Propositional encoding time       : 0.045
% 21.36/3.65  %    Propositional solver time         : 0.149
% 21.36/3.65  %    Success case prop preproc time    : 0.000
% 21.36/3.65  %    Success case prop encoding time   : 0.045
% 21.36/3.65  %    Success case prop solver time     : 0.149
% 21.36/3.65  % Current number of processed clauses  : 3987
% 21.36/3.65  %    Positive orientable unit clauses  : 1
% 21.36/3.65  %    Positive unorientable unit clauses: 0
% 21.36/3.65  %    Negative unit clauses             : 0
% 21.36/3.65  %    Non-unit-clauses                  : 3986
% 21.36/3.65  % Current number of unprocessed clauses: 57224
% 21.36/3.65  % ...number of literals in the above   : 403910
% 21.36/3.65  % Current number of archived formulas  : 0
% 21.36/3.65  % Current number of archived clauses   : 981
% 21.36/3.65  % Clause-clause subsumption calls (NU) : 5065204
% 21.36/3.65  % Rec. Clause-clause subsumption calls : 174014
% 21.36/3.65  % Non-unit clause-clause subsumptions  : 3181
% 21.36/3.65  % Unit Clause-clause subsumption calls : 4
% 21.36/3.65  % Rewrite failures with RHS unbound    : 0
% 21.36/3.65  % BW rewrite match attempts            : 1
% 21.36/3.65  % BW rewrite match successes           : 1
% 21.36/3.65  % Condensation attempts                : 6692
% 21.36/3.65  % Condensation successes               : 0
% 21.36/3.65  % Termbank termtop insertions          : 654524
% 21.36/3.65  % Search garbage collected termcells   : 430
% 21.36/3.65  
% 21.36/3.65  % -------------------------------------------------
% 21.36/3.65  % User time                : 2.676 s
% 21.36/3.65  % System time              : 0.094 s
% 21.36/3.65  % Total time               : 2.770 s
% 21.36/3.65  % Maximum resident set size: 4028 pages
% 21.36/3.65  
% 21.36/3.65  % -------------------------------------------------
% 21.36/3.65  % User time                : 14.883 s
% 21.36/3.65  % System time              : 0.382 s
% 21.36/3.65  % Total time               : 15.265 s
% 21.36/3.65  % Maximum resident set size: 4608 pages
% 21.36/3.65  % E exiting
%------------------------------------------------------------------------------