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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN506-1 : 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 : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:25:12 PM UTC 2026

% Result   : Unsatisfiable 7.78s 6.45s
% Output   : CNFRefutation 7.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  139
% Syntax   : Number of formulae    :  547 (   2 unt;   0 def)
%            Number of atoms       : 2054 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2583 (1076   ~;1466   |;   0   &)
%                                         (  41 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   69 (  68 usr;  65 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  271 (   0 sgn  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause6,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

cnf(clause15,negated_conjecture,
    ( ~ hskp16
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).

cnf(clause1,negated_conjecture,
    ( hskp16
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause137,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp28
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

cnf(clause47,negated_conjecture,
    ( ~ hskp26
    | c3_1(a333) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

cnf(clause46,negated_conjecture,
    ( ~ hskp26
    | c1_1(a333) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

cnf(clause40,negated_conjecture,
    ( ~ hskp28
    | c1_1(a343) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

cnf(clause41,negated_conjecture,
    ( ~ hskp28
    | c2_1(a343) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

cnf(clause48,negated_conjecture,
    ( ~ hskp25
    | c0_1(a419) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

cnf(clause81,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a419) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(clause82,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a419) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

cnf(clause61,negated_conjecture,
    ( ~ hskp16
    | c3_1(a349) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

cnf(clause60,negated_conjecture,
    ( ~ hskp16
    | c1_1(a349) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

cnf(clause96,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a349) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

cnf(clause71,negated_conjecture,
    ( ~ hskp7
    | c3_1(a330) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

cnf(clause113,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a330) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(clause83,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a401) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

cnf(clause49,negated_conjecture,
    ( ~ hskp24
    | c1_1(a401) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

cnf(clause84,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a401) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

cnf(clause68,negated_conjecture,
    ( ~ hskp12
    | c3_1(a345) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

cnf(clause101,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a345) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

cnf(clause67,negated_conjecture,
    ( ~ hskp12
    | c0_1(a345) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

cnf(clause64,negated_conjecture,
    ( ~ hskp14
    | c3_1(a347) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

cnf(clause99,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a347) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

cnf(clause155,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp26
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

cnf(clause63,negated_conjecture,
    ( ~ hskp14
    | c2_1(a347) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

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

cnf(clause2,negated_conjecture,
    ( hskp7
    | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

cnf(clause53,negated_conjecture,
    ( ~ hskp21
    | c3_1(a359) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

cnf(clause89,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a359) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(clause88,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a359) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(clause58,negated_conjecture,
    ( ~ hskp17
    | c1_1(a353) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(clause59,negated_conjecture,
    ( ~ hskp17
    | c2_1(a353) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(clause45,negated_conjecture,
    ( ~ hskp26
    | c0_1(a333) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

cnf(clause39,negated_conjecture,
    ( ~ hskp28
    | c0_1(a343) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

cnf(clause134,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp15
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

cnf(clause112,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a330) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(clause72,negated_conjecture,
    ( ~ hskp6
    | c2_1(a329) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

cnf(clause114,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a329) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(clause115,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a329) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

cnf(clause121,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(clause119,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(clause120,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(clause124,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a323) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(clause122,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a323) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

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

cnf(clause74,negated_conjecture,
    ( ~ hskp5
    | c1_1(a327) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(clause73,negated_conjecture,
    ( ~ hskp5
    | c0_1(a327) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(clause116,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a327) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

cnf(clause123,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a323) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(clause102,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

cnf(clause103,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

cnf(clause104,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

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

cnf(clause35,negated_conjecture,
    ( hskp14
    | hskp17
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

cnf(clause56,negated_conjecture,
    ( ~ hskp19
    | c2_1(a355) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

cnf(clause55,negated_conjecture,
    ( ~ hskp19
    | c1_1(a355) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

cnf(clause92,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a355) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

cnf(clause91,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a358) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

cnf(clause90,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a358) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(clause133,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp22
    | hskp7
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

cnf(clause152,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

cnf(clause36,negated_conjecture,
    ( hskp1
    | hskp11
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

cnf(clause185,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp22
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

cnf(clause107,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a334) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

cnf(clause70,negated_conjecture,
    ( ~ hskp9
    | c2_1(a334) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(clause108,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a334) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

cnf(clause52,negated_conjecture,
    ( ~ hskp22
    | c3_1(a367) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

cnf(clause86,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a367) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

cnf(clause87,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a367) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(clause69,negated_conjecture,
    ( ~ hskp10
    | c0_1(a337) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(clause105,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a337) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(clause106,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a337) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

cnf(clause98,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a348) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

cnf(clause62,negated_conjecture,
    ( ~ hskp15
    | c0_1(a348) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(clause97,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a348) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

cnf(clause75,negated_conjecture,
    ( ~ hskp4
    | c0_1(a326) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(clause76,negated_conjecture,
    ( ~ hskp4
    | c2_1(a326) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(clause117,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a326) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(clause196,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

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

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

cnf(clause187,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

cnf(clause186,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp20
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

cnf(clause180,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(clause176,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | c1_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

cnf(clause172,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

cnf(clause167,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp4
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(clause166,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp5
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(clause163,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

cnf(clause174,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

cnf(clause169,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp26
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

cnf(clause164,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(clause156,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

cnf(clause161,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(clause162,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp22
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

cnf(clause159,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp7
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

cnf(clause154,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp12
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

cnf(c_0_98,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause6]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ hskp16
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause15]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    c_0_98 ).

cnf(c_0_101,negated_conjecture,
    ( hskp16
    | hskp25 ),
    clause1 ).

cnf(c_0_102,negated_conjecture,
    ( ~ hskp16
    | ndr1_0 ),
    c_0_99 ).

cnf(c_0_103,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp28
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause137]) ).

fof(c_0_104,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_105,plain,
    ( ~ epred66_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ ndr1_0
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_106,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ hskp26
    | c3_1(a333) ),
    inference(fof_simplification,[status(thm)],[clause47]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ hskp26
    | c1_1(a333) ),
    inference(fof_simplification,[status(thm)],[clause46]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp28
    | c2_1(X1) ),
    c_0_103 ).

cnf(c_0_110,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred47_0 ),
    inference(split_equiv,[status(thm)],[c_0_104]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred66_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_105]),c_0_106])]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ hskp28
    | c1_1(a343) ),
    inference(fof_simplification,[status(thm)],[clause40]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ hskp28
    | c2_1(a343) ),
    inference(fof_simplification,[status(thm)],[clause41]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ hskp26
    | c3_1(a333) ),
    c_0_107 ).

cnf(c_0_115,negated_conjecture,
    ( ~ hskp26
    | c1_1(a333) ),
    c_0_108 ).

cnf(c_0_116,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp28
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_106])]) ).

fof(c_0_117,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c1_1(X1)
        | hskp26 ) ),
    introduced(definition) ).

cnf(c_0_118,negated_conjecture,
    ( ~ hskp25
    | c0_1(a419) ),
    inference(fof_simplification,[status(thm)],[clause48]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a419) ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a419) ),
    inference(fof_simplification,[status(thm)],[clause82]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ hskp16
    | c3_1(a349) ),
    inference(fof_simplification,[status(thm)],[clause61]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ hskp16
    | c1_1(a349) ),
    inference(fof_simplification,[status(thm)],[clause60]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a349) ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

fof(c_0_124,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp7
    | c3_1(a330) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a330) ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

fof(c_0_127,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_128,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a401) ),
    inference(fof_simplification,[status(thm)],[clause83]) ).

fof(c_0_129,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_130,negated_conjecture,
    ( ~ hskp24
    | c1_1(a401) ),
    inference(fof_simplification,[status(thm)],[clause49]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a401) ),
    inference(fof_simplification,[status(thm)],[clause84]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ hskp12
    | c3_1(a345) ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a345) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

fof(c_0_134,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_135,negated_conjecture,
    ( ~ hskp12
    | c0_1(a345) ),
    inference(fof_simplification,[status(thm)],[clause67]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ hskp14
    | c3_1(a347) ),
    inference(fof_simplification,[status(thm)],[clause64]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a347) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

fof(c_0_138,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_139,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | epred47_0
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ hskp28
    | c1_1(a343) ),
    c_0_112 ).

cnf(c_0_141,negated_conjecture,
    ( ~ hskp28
    | c2_1(a343) ),
    c_0_113 ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a333)
    | epred47_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_114]),c_0_115]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ hskp26
    | hskp28
    | c2_1(a333) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_114]),c_0_115]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp26
    | c1_1(X1)
    | c2_1(X1)
    | epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_106])]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ hskp25
    | c0_1(a419) ),
    c_0_118 ).

cnf(c_0_146,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a419) ),
    c_0_119 ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a419) ),
    c_0_120 ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp16
    | c3_1(a349) ),
    c_0_121 ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp16
    | c1_1(a349) ),
    c_0_122 ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a349) ),
    c_0_123 ).

cnf(c_0_151,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred34_0 ),
    inference(split_equiv,[status(thm)],[c_0_124]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ hskp7
    | c3_1(a330) ),
    c_0_125 ).

cnf(c_0_153,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a330) ),
    c_0_126 ).

cnf(c_0_154,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_127]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a401) ),
    c_0_128 ).

cnf(c_0_156,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred19_0 ),
    inference(split_equiv,[status(thm)],[c_0_129]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp24
    | c1_1(a401) ),
    c_0_130 ).

cnf(c_0_158,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a401) ),
    c_0_131 ).

fof(c_0_159,plain,
    ( ~ epred13_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp12
    | c3_1(a345) ),
    c_0_132 ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a345) ),
    c_0_133 ).

cnf(c_0_162,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred17_0 ),
    inference(split_equiv,[status(thm)],[c_0_134]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp12
    | c0_1(a345) ),
    c_0_135 ).

cnf(c_0_164,negated_conjecture,
    ( ~ hskp14
    | c3_1(a347) ),
    c_0_136 ).

cnf(c_0_165,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a347) ),
    c_0_137 ).

cnf(c_0_166,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred11_0 ),
    inference(split_equiv,[status(thm)],[c_0_138]) ).

cnf(c_0_167,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp26
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause155]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp28
    | epred47_0
    | epred66_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp26
    | hskp28
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp25
    | hskp26
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),c_0_147]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp16
    | hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_148]),c_0_149]),c_0_150]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp14
    | c2_1(a347) ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause195]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a330)
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp7
    | c2_1(a330)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_152]),c_0_153]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp24
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_158]) ).

cnf(c_0_177,negated_conjecture,
    ( hskp7
    | hskp24 ),
    clause2 ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp21
    | c3_1(a359) ),
    inference(fof_simplification,[status(thm)],[clause53]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a359) ),
    inference(fof_simplification,[status(thm)],[clause89]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a359) ),
    inference(fof_simplification,[status(thm)],[clause88]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred13_0 ),
    inference(split_equiv,[status(thm)],[c_0_159]) ).

fof(c_0_182,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a345)
    | hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_160]),c_0_161]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ hskp12
    | c1_1(a345)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_160]),c_0_163]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a347)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_164]),c_0_165]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp14
    | c0_1(a347)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_164]),c_0_165]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp17
    | c1_1(a353) ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ hskp17
    | c2_1(a353) ),
    inference(fof_simplification,[status(thm)],[clause59]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp26
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_167 ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp26
    | epred47_0
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_191,negated_conjecture,
    ( hskp16
    | hskp26
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_170,c_0_101]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp16
    | epred47_0
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_171]) ).

fof(c_0_193,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp26
    | c0_1(a333) ),
    inference(fof_simplification,[status(thm)],[clause45]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ hskp28
    | c0_1(a343) ),
    inference(fof_simplification,[status(thm)],[clause39]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp15
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause134]) ).

fof(c_0_197,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c0_1(X1)
        | hskp1 ) ),
    introduced(definition) ).

cnf(c_0_198,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a330) ),
    inference(fof_simplification,[status(thm)],[clause112]) ).

fof(c_0_199,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_200,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2)
        | hskp19 ) ),
    introduced(definition) ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp6
    | c2_1(a329) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a329) ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a329) ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a324) ),
    inference(fof_simplification,[status(thm)],[clause121]) ).

fof(c_0_205,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2)
        | c0_1(X2)
        | hskp6 ) ),
    introduced(definition) ).

cnf(c_0_206,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a324) ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a324) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a323) ),
    inference(fof_simplification,[status(thm)],[clause124]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a323) ),
    inference(fof_simplification,[status(thm)],[clause122]) ).

fof(c_0_210,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2)
        | c0_1(X2)
        | hskp7 ) ),
    introduced(definition) ).

fof(c_0_211,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_212,negated_conjecture,
    ( ~ hskp12
    | c1_1(a345)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_160]),c_0_161]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ hskp14
    | c2_1(a347) ),
    c_0_172 ).

cnf(c_0_214,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause194]) ).

fof(c_0_215,plain,
    ( ~ epred63_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_216,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c2_1(X2) ),
    c_0_173 ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp7
    | epred2_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_218,negated_conjecture,
    ( hskp7
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp21
    | c3_1(a359) ),
    c_0_178 ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a359) ),
    c_0_179 ).

cnf(c_0_221,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a359) ),
    c_0_180 ).

fof(c_0_222,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp21 ) ),
    introduced(definition) ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp5
    | c1_1(a327) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp5
    | c0_1(a327) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a327) ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | epred13_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_162,c_0_181]) ).

cnf(c_0_227,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_182]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a323) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a338) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

cnf(c_0_230,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a338) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a338) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause191]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp12
    | hskp28
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp14
    | epred11_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_235,negated_conjecture,
    ( hskp14
    | hskp17
    | hskp12 ),
    clause35 ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp17
    | c1_1(a353) ),
    c_0_187 ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp17
    | c2_1(a353) ),
    c_0_188 ).

cnf(c_0_238,negated_conjecture,
    ( ~ epred10_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_189,c_0_117]),c_0_138]) ).

cnf(c_0_239,negated_conjecture,
    ( epred10_0
    | epred47_0
    | epred66_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | epred31_0 ),
    inference(split_equiv,[status(thm)],[c_0_193]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp26
    | c0_1(a333) ),
    c_0_194 ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp28
    | c0_1(a343) ),
    c_0_195 ).

cnf(c_0_243,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp15
    | c1_1(X1) ),
    c_0_196 ).

fof(c_0_244,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_245,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c1_1(X2)
        | hskp12 ) ),
    introduced(definition) ).

cnf(c_0_246,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp1
    | c0_1(X1)
    | c2_1(X1)
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_197]),c_0_106])]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a330) ),
    c_0_198 ).

cnf(c_0_248,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred15_0 ),
    inference(split_equiv,[status(thm)],[c_0_199]) ).

fof(c_0_249,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp4 ) ),
    introduced(definition) ).

cnf(c_0_250,negated_conjecture,
    ( ~ hskp19
    | c2_1(a355) ),
    inference(fof_simplification,[status(thm)],[clause56]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp19
    | c1_1(a355) ),
    inference(fof_simplification,[status(thm)],[clause55]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a355) ),
    inference(fof_simplification,[status(thm)],[clause92]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp19
    | c1_1(X1)
    | c3_1(X1)
    | epred26_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_200]),c_0_106])]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ hskp6
    | c2_1(a329) ),
    c_0_201 ).

cnf(c_0_255,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a329) ),
    c_0_202 ).

cnf(c_0_256,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a329) ),
    c_0_203 ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a324) ),
    c_0_204 ).

cnf(c_0_258,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_205]),c_0_106])]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a324) ),
    c_0_206 ).

cnf(c_0_260,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a324) ),
    c_0_207 ).

fof(c_0_261,plain,
    ( ~ epred60_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_262,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c0_1(X2)
        | hskp26 ) ),
    introduced(definition) ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a358) ),
    inference(fof_simplification,[status(thm)],[clause91]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a358) ),
    inference(fof_simplification,[status(thm)],[clause90]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a323) ),
    c_0_208 ).

cnf(c_0_266,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a323) ),
    c_0_209 ).

cnf(c_0_267,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred21_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_106])]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred25_0 ),
    inference(split_equiv,[status(thm)],[c_0_211]) ).

fof(c_0_269,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp22 ) ),
    introduced(definition) ).

cnf(c_0_270,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp22
    | hskp7
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause133]) ).

fof(c_0_271,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_272,plain,
    ( ~ epred61_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ ndr1_0
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_273,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c0_1(X2)
        | hskp5 ) ),
    introduced(definition) ).

cnf(c_0_274,negated_conjecture,
    ( ~ hskp12
    | hskp28
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_183,c_0_212]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ hskp14
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_164]),c_0_213]),c_0_165]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c3_1(X2) ),
    c_0_214 ).

cnf(c_0_277,negated_conjecture,
    ( ~ epred2_0
    | ~ epred31_0
    | ~ epred63_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_216,c_0_215]),c_0_127]),c_0_193]) ).

cnf(c_0_278,negated_conjecture,
    ( epred2_0
    | epred19_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

fof(c_0_279,plain,
    ( ~ epred57_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a359)
    | hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_219]),c_0_220]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp21
    | c1_1(a359)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_219]),c_0_221]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp21
    | c3_1(X1)
    | epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_222]),c_0_106])]) ).

cnf(c_0_283,negated_conjecture,
    ( ~ hskp5
    | c1_1(a327) ),
    c_0_223 ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp5
    | c0_1(a327) ),
    c_0_224 ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a327) ),
    c_0_225 ).

cnf(c_0_286,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause152]) ).

cnf(c_0_287,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | epred4_0
    | epred13_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a323) ),
    c_0_228 ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp25
    | epred13_0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_145]),c_0_146]) ).

cnf(c_0_290,negated_conjecture,
    ( hskp1
    | hskp11
    | hskp25 ),
    clause36 ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a338) ),
    c_0_229 ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a338) ),
    c_0_230 ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a338) ),
    c_0_231 ).

cnf(c_0_294,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp22
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause185]) ).

fof(c_0_295,plain,
    ( ~ epred62_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c1_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_296,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c1_1(X1) ),
    c_0_232 ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp12
    | epred17_0
    | epred47_0
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_233]) ).

cnf(c_0_298,negated_conjecture,
    ( hskp17
    | hskp12
    | epred11_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_299,negated_conjecture,
    ( ~ hskp17
    | epred47_0
    | epred66_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_236]),c_0_237]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ epred11_0
    | epred47_0
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a334) ),
    inference(fof_simplification,[status(thm)],[clause107]) ).

cnf(c_0_302,negated_conjecture,
    ( ~ hskp9
    | c2_1(a334) ),
    inference(fof_simplification,[status(thm)],[clause70]) ).

cnf(c_0_303,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a334) ),
    inference(fof_simplification,[status(thm)],[clause108]) ).

fof(c_0_304,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c1_1(X1)
        | hskp9 ) ),
    introduced(definition) ).

cnf(c_0_305,negated_conjecture,
    ( ~ hskp22
    | c3_1(a367) ),
    inference(fof_simplification,[status(thm)],[clause52]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a367) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a367) ),
    inference(fof_simplification,[status(thm)],[clause87]) ).

cnf(c_0_308,negated_conjecture,
    ( ~ hskp10
    | c0_1(a337) ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

cnf(c_0_309,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a337) ),
    inference(fof_simplification,[status(thm)],[clause105]) ).

cnf(c_0_310,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a337) ),
    inference(fof_simplification,[status(thm)],[clause106]) ).

cnf(c_0_311,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a333)
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_115]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ hskp28
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_242]),c_0_140]),c_0_141]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a348) ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ hskp15
    | c0_1(a348) ),
    inference(fof_simplification,[status(thm)],[clause62]) ).

cnf(c_0_315,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a348) ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

cnf(c_0_316,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp15
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_106])]) ).

cnf(c_0_317,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred8_0 ),
    inference(split_equiv,[status(thm)],[c_0_244]) ).

cnf(c_0_318,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_245]),c_0_106])]) ).

cnf(c_0_319,negated_conjecture,
    ( ~ hskp7
    | hskp1
    | c2_1(a330)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_152]),c_0_247]) ).

fof(c_0_320,plain,
    ( ~ epred59_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_321,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | epred2_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_154,c_0_248]) ).

cnf(c_0_322,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp4
    | c3_1(X1)
    | epred37_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_249]),c_0_106])]) ).

cnf(c_0_323,negated_conjecture,
    ( ~ hskp19
    | c2_1(a355) ),
    c_0_250 ).

cnf(c_0_324,negated_conjecture,
    ( ~ hskp19
    | c1_1(a355) ),
    c_0_251 ).

cnf(c_0_325,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a355) ),
    c_0_252 ).

cnf(c_0_326,negated_conjecture,
    ( ~ hskp6
    | hskp19
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]),c_0_256]) ).

cnf(c_0_327,negated_conjecture,
    ( ~ hskp2
    | hskp6
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_259]),c_0_260]) ).

cnf(c_0_328,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred63_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_215]),c_0_106])]) ).

cnf(c_0_329,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred60_0 ),
    inference(split_equiv,[status(thm)],[c_0_261]) ).

cnf(c_0_330,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp26
    | c0_1(X1)
    | c3_1(X1)
    | epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_262]),c_0_106])]) ).

fof(c_0_331,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c0_1(X1)
        | hskp7 ) ),
    introduced(definition) ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a358) ),
    c_0_263 ).

cnf(c_0_333,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a358) ),
    c_0_264 ).

cnf(c_0_334,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a323)
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_181]),c_0_266]) ).

cnf(c_0_335,negated_conjecture,
    ( ~ hskp1
    | hskp7
    | c0_1(a323)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_267]),c_0_266]) ).

cnf(c_0_336,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a349)
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_148]),c_0_150]) ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp16
    | hskp1
    | c0_1(a349)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_148]),c_0_150]) ).

cnf(c_0_338,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp22
    | c2_1(X1)
    | c3_1(X1)
    | epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_269]),c_0_106])]) ).

cnf(c_0_339,negated_conjecture,
    ( ~ hskp12
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_160]),c_0_163]),c_0_161]) ).

fof(c_0_340,plain,
    ( ~ epred56_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | hskp10 ) ),
    introduced(definition) ).

fof(c_0_341,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | hskp20 ) ),
    introduced(definition) ).

fof(c_0_342,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | hskp22 ) ),
    introduced(definition) ).

cnf(c_0_343,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp22
    | hskp7
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_270 ).

fof(c_0_344,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp14 ) ),
    introduced(definition) ).

fof(c_0_345,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c0_1(X2)
        | hskp7 ) ),
    introduced(definition) ).

fof(c_0_346,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp2 ) ),
    introduced(definition) ).

cnf(c_0_347,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred22_0 ),
    inference(split_equiv,[status(thm)],[c_0_271]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred61_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_272]),c_0_106])]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp5
    | c0_1(X1)
    | c2_1(X1)
    | epred33_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_273]),c_0_106])]) ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp12
    | epred2_0
    | epred47_0
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_274]) ).

cnf(c_0_351,negated_conjecture,
    ( hskp17
    | hskp12
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_275,c_0_235]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ epred19_0
    | ~ epred31_0
    | ~ epred66_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_276,c_0_105]),c_0_129]),c_0_193]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ epred31_0
    | ~ epred63_0
    | epred19_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_277,c_0_278]) ).

fof(c_0_354,plain,
    ( ~ epred58_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_355,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred57_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_279]),c_0_106])]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ hskp21
    | hskp28
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp5
    | hskp21
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_284]),c_0_285]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_286 ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp1
    | epred4_0
    | epred13_0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_287]),c_0_288]) ).

cnf(c_0_360,negated_conjecture,
    ( hskp11
    | hskp1
    | epred13_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_289,c_0_290]) ).

cnf(c_0_361,negated_conjecture,
    ( ~ hskp11
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_227]),c_0_292]),c_0_293]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp22
    | c1_1(X2) ),
    c_0_294 ).

cnf(c_0_363,negated_conjecture,
    ( ~ epred17_0
    | ~ epred61_0
    | ~ epred62_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_296,c_0_272]),c_0_134]),c_0_295]) ).

cnf(c_0_364,negated_conjecture,
    ( epred17_0
    | epred47_0
    | epred66_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299]),c_0_300]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a334) ),
    c_0_301 ).

cnf(c_0_366,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred62_0 ),
    inference(split_equiv,[status(thm)],[c_0_295]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ hskp9
    | c2_1(a334) ),
    c_0_302 ).

cnf(c_0_368,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a334) ),
    c_0_303 ).

cnf(c_0_369,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp9
    | c1_1(X1)
    | c2_1(X1)
    | epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_304]),c_0_106])]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp22
    | c3_1(a367) ),
    c_0_305 ).

cnf(c_0_371,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a367) ),
    c_0_306 ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a367) ),
    c_0_307 ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp10
    | c0_1(a337) ),
    c_0_308 ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a337) ),
    c_0_309 ).

cnf(c_0_375,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a337) ),
    c_0_310 ).

cnf(c_0_376,negated_conjecture,
    ( ~ hskp26
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_143]),c_0_312]) ).

cnf(c_0_377,negated_conjecture,
    ( ~ hskp16
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_312,c_0_171]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a348) ),
    c_0_313 ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp15
    | c0_1(a348) ),
    c_0_314 ).

cnf(c_0_380,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a348) ),
    c_0_315 ).

cnf(c_0_381,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a330)
    | hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_152]),c_0_153]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ hskp7
    | c2_1(a330)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_152]),c_0_247]) ).

fof(c_0_383,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_384,negated_conjecture,
    ( ~ hskp4
    | c0_1(a326) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ hskp4
    | c2_1(a326) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a326) ),
    inference(fof_simplification,[status(thm)],[clause117]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ hskp1
    | hskp12
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_318]),c_0_266]),c_0_288]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ hskp7
    | hskp1
    | epred5_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_174,c_0_319]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred59_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_320]),c_0_106])]) ).

cnf(c_0_390,negated_conjecture,
    ( ~ hskp25
    | epred2_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_321]),c_0_147]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ hskp11
    | epred2_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_321]),c_0_293]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp1
    | epred2_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_321]),c_0_288]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause196]) ).

cnf(c_0_394,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause190]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause189]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp10 ),
    inference(fof_simplification,[status(thm)],[clause187]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp20
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause186]) ).

cnf(c_0_398,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause180]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | c1_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause176]) ).

cnf(c_0_400,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_401,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp4
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause167]) ).

cnf(c_0_402,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp5
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause166]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause163]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause174]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp26
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause169]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause164]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause156]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause161]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp22
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause162]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp7
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause159]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp12
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause154]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp19
    | hskp4
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324]),c_0_325]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp2
    | hskp19
    | epred26_0
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_326,c_0_327]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred60_0
    | epred63_0 ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_415,negated_conjecture,
    ( ~ hskp24
    | hskp26
    | c3_1(a401)
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_157]),c_0_155]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp7
    | c0_1(X1)
    | c3_1(X1)
    | epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_331]),c_0_106])]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ hskp20
    | hskp7
    | c1_1(a358)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_267]),c_0_333]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ hskp1
    | hskp7
    | epred13_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_334,c_0_335]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp16
    | hskp1
    | epred5_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_336,c_0_337]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ hskp28
    | hskp21
    | c3_1(a343)
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_140]),c_0_242]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ hskp25
    | hskp22
    | c3_1(a419)
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_145]),c_0_147]) ).

cnf(c_0_422,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred1_0
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_318]),c_0_339]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp10
    | epred56_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_340]),c_0_106])]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp20
    | c2_1(X1)
    | epred53_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_341]),c_0_106])]) ).

cnf(c_0_425,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp22
    | c1_1(X1)
    | epred52_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_342]),c_0_106])]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp7
    | hskp22
    | c1_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_343,c_0_106])]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp14
    | c2_1(X1)
    | epred42_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_344]),c_0_106])]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp7
    | c0_1(X1)
    | c1_1(X1)
    | epred39_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_345]),c_0_106])]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp2
    | c2_1(X1)
    | epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_346]),c_0_106])]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ hskp26
    | c2_1(a333)
    | epred63_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_114]),c_0_115]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a333)
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_114]),c_0_241]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a330)
    | epred61_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_152]),c_0_153]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ hskp24
    | hskp5
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_157]),c_0_155]),c_0_158]) ).

cnf(c_0_434,negated_conjecture,
    ( epred2_0
    | epred34_0
    | epred47_0
    | epred66_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_299]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ epred31_0
    | ~ epred63_0
    | ~ epred66_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred58_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_354]),c_0_106])]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ hskp25
    | epred57_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_145]),c_0_146]),c_0_147]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ hskp5
    | hskp28
    | epred11_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_356,c_0_357]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ epred4_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_358,c_0_197]),c_0_182]) ).

cnf(c_0_440,negated_conjecture,
    ( epred4_0
    | epred13_0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_361]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ epred47_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_362,c_0_342]),c_0_104]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ epred61_0
    | ~ epred62_0
    | epred47_0
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_363,c_0_364]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ hskp9
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_367]),c_0_368]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ hskp25
    | hskp9
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_145]),c_0_146]),c_0_147]) ).

cnf(c_0_445,negated_conjecture,
    ( ~ hskp21
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_219]),c_0_221]),c_0_220]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ hskp22
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_370]),c_0_371]),c_0_372]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ hskp10
    | hskp22
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_373]),c_0_374]),c_0_375]) ).

cnf(c_0_448,negated_conjecture,
    ( epred10_0
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_191]),c_0_377]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ hskp15
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_181]),c_0_379]),c_0_380]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ hskp7
    | hskp15
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a330)
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_366]),c_0_153]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred36_0 ),
    inference(split_equiv,[status(thm)],[c_0_383]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ hskp4
    | c0_1(a326) ),
    c_0_384 ).

cnf(c_0_454,negated_conjecture,
    ( ~ hskp4
    | c2_1(a326) ),
    c_0_385 ).

cnf(c_0_455,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a326) ),
    c_0_386 ).

cnf(c_0_456,negated_conjecture,
    ( ~ hskp7
    | hskp12
    | epred1_0
    | epred5_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_387,c_0_388]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ hskp7
    | c2_1(a330)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_227]),c_0_153]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a359)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_156]),c_0_220]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ hskp21
    | c1_1(a359)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_219]),c_0_220]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a367)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_370]),c_0_371]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ hskp22
    | c0_1(a367)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_370]),c_0_372]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | epred59_0
    | epred63_0 ),
    inference(spm,[status(thm)],[c_0_328,c_0_389]) ).

cnf(c_0_463,negated_conjecture,
    ( epred2_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_290]),c_0_391]),c_0_392]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c2_1(X3)
    | c2_1(X2) ),
    c_0_393 ).

cnf(c_0_465,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_394 ).

cnf(c_0_466,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    c_0_395 ).

cnf(c_0_467,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp10 ),
    c_0_396 ).

cnf(c_0_468,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp20
    | c2_1(X2) ),
    c_0_397 ).

cnf(c_0_469,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_398 ).

cnf(c_0_470,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | c1_1(X2)
    | c0_1(X2) ),
    c_0_399 ).

cnf(c_0_471,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_400 ).

cnf(c_0_472,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp4
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    c_0_401 ).

cnf(c_0_473,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp5
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    c_0_402 ).

cnf(c_0_474,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2) ),
    c_0_403 ).

cnf(c_0_475,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    c_0_404 ).

cnf(c_0_476,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp26
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_405 ).

cnf(c_0_477,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2) ),
    c_0_406 ).

cnf(c_0_478,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_407 ).

cnf(c_0_479,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_408 ).

cnf(c_0_480,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp22
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_409 ).

cnf(c_0_481,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp7
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_410 ).

cnf(c_0_482,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp12
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_411 ).

cnf(c_0_483,negated_conjecture,
    ( ~ hskp2
    | epred26_0
    | epred30_0
    | hskp4
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ c1_1(a401)
    | ~ hskp24
    | c2_1(a401)
    | epred60_0
    | epred63_0 ),
    inference(spm,[status(thm)],[c_0_155,c_0_414]) ).

cnf(c_0_485,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a401)
    | hskp26
    | epred24_0
    | hskp28
    | c2_1(a401) ),
    inference(spm,[status(thm)],[c_0_116,c_0_415]) ).

cnf(c_0_486,negated_conjecture,
    ( ~ hskp20
    | epred21_0
    | hskp7
    | c0_1(a358)
    | c3_1(a358)
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_487,negated_conjecture,
    ( ~ hskp16
    | epred5_0
    | epred25_0
    | hskp7
    | epred13_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_488,negated_conjecture,
    ( ~ hskp28
    | ~ c1_1(a343)
    | ~ c2_1(a343)
    | hskp21
    | epred14_0
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_110,c_0_420]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a419)
    | hskp22
    | epred12_0
    | c1_1(a419)
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_162,c_0_421]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ hskp25
    | c1_1(a419)
    | c2_1(a419)
    | epred1_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_422,c_0_145]) ).

cnf(c_0_491,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | epred66_0
    | hskp10
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_423,c_0_111]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a333)
    | ~ c1_1(a333)
    | hskp10
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_423,c_0_114]) ).

cnf(c_0_493,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a327)
    | hskp20
    | c2_1(a327)
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_424,c_0_284]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a330)
    | hskp22
    | c1_1(a330)
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_425,c_0_152]) ).

cnf(c_0_495,negated_conjecture,
    ( ~ hskp25
    | hskp7
    | hskp22
    | c1_1(a419)
    | c2_1(a419) ),
    inference(spm,[status(thm)],[c_0_426,c_0_145]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a349)
    | hskp14
    | c2_1(a349)
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_427,c_0_148]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | epred66_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_347,c_0_111]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ c1_1(a327)
    | ~ c2_1(a327)
    | ~ hskp5
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_285,c_0_111]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ hskp22
    | hskp7
    | c0_1(a367)
    | c1_1(a367)
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_428,c_0_370]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a367)
    | hskp2
    | c2_1(a367)
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_429,c_0_370]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ hskp26
    | epred47_0
    | epred63_0 ),
    inference(spm,[status(thm)],[c_0_142,c_0_430]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ hskp26
    | epred22_0
    | epred63_0 ),
    inference(spm,[status(thm)],[c_0_431,c_0_430]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ hskp16
    | epred63_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_148]),c_0_149]),c_0_150]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ hskp7
    | epred2_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_432,c_0_175]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ hskp7
    | epred8_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_432,c_0_382]) ).

cnf(c_0_506,negated_conjecture,
    ( hskp7
    | hskp5
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_433,c_0_177]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ epred31_0
    | ~ epred63_0
    | epred34_0
    | epred47_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_434]),c_0_435]) ).

cnf(c_0_508,negated_conjecture,
    ( ~ hskp10
    | epred58_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_436]),c_0_373]),c_0_374]) ).

cnf(c_0_509,negated_conjecture,
    ( hskp16
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_437,c_0_101]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ hskp5
    | epred14_0
    | epred47_0
    | epred66_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_438]),c_0_300]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ epred5_0
    | epred13_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_439,c_0_440]) ).

cnf(c_0_512,negated_conjecture,
    ( ~ epred52_0
    | ~ epred61_0
    | ~ epred62_0
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ hskp25
    | epred20_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_443,c_0_444]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ hskp5
    | epred8_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_445,c_0_357]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ hskp10
    | epred2_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_446,c_0_447]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ epred11_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_238,c_0_448]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ hskp7
    | epred8_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_449,c_0_450]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ hskp7
    | epred2_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_451,c_0_175]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ hskp4
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_454]),c_0_455]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ hskp7
    | epred1_0
    | epred5_0
    | epred25_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_339,c_0_456]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ hskp7
    | epred4_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_174,c_0_457]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ hskp21
    | epred2_0
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_458,c_0_459]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ hskp22
    | epred8_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_460,c_0_461]) ).

cnf(c_0_524,negated_conjecture,
    ( ~ hskp7
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_152]),c_0_247]),c_0_153]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ hskp24
    | epred59_0
    | epred63_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_157]),c_0_158]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ epred31_0
    | ~ epred63_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_277,c_0_463]) ).

cnf(c_0_527,negated_conjecture,
    ( ~ epred22_0
    | ~ epred25_0
    | ~ epred58_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_464,c_0_354]),c_0_211]),c_0_271]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ epred36_0
    | ~ epred59_0
    | ~ epred60_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_465,c_0_320]),c_0_261]),c_0_383]) ).

cnf(c_0_529,negated_conjecture,
    ( ~ epred8_0
    | ~ epred34_0
    | ~ epred57_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_466,c_0_279]),c_0_244]),c_0_124]) ).

cnf(c_0_530,negated_conjecture,
    ( ~ epred47_0
    | ~ epred56_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_467,c_0_340]),c_0_104]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ epred47_0
    | ~ epred53_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_468,c_0_341]),c_0_104]) ).

cnf(c_0_532,negated_conjecture,
    ( ~ epred17_0
    | ~ epred42_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_469,c_0_344]),c_0_134]) ).

cnf(c_0_533,negated_conjecture,
    ( ~ epred31_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_470,c_0_345]),c_0_193]) ).

cnf(c_0_534,negated_conjecture,
    ( ~ epred2_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_471,c_0_346]),c_0_127]) ).

cnf(c_0_535,negated_conjecture,
    ( ~ epred19_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_472,c_0_249]),c_0_129]) ).

cnf(c_0_536,negated_conjecture,
    ( ~ epred33_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_473,c_0_273]),c_0_124]) ).

cnf(c_0_537,negated_conjecture,
    ( ~ epred30_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_474,c_0_205]),c_0_193]) ).

cnf(c_0_538,negated_conjecture,
    ( ~ epred17_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_475,c_0_200]),c_0_134]) ).

cnf(c_0_539,negated_conjecture,
    ( ~ epred24_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_476,c_0_262]),c_0_211]) ).

cnf(c_0_540,negated_conjecture,
    ( ~ epred21_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_477,c_0_210]),c_0_271]) ).

cnf(c_0_541,negated_conjecture,
    ( ~ epred11_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_478,c_0_304]),c_0_138]) ).

cnf(c_0_542,negated_conjecture,
    ( ~ epred14_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_479,c_0_222]),c_0_199]) ).

cnf(c_0_543,negated_conjecture,
    ( ~ epred12_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_480,c_0_269]),c_0_159]) ).

cnf(c_0_544,negated_conjecture,
    ( ~ epred7_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_481,c_0_331]),c_0_244]) ).

cnf(c_0_545,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_482,c_0_245]),c_0_127]) ).

cnf(c_0_546,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_170,c_0_376,c_0_377,c_0_171,c_0_517,c_0_518,c_0_519,c_0_275,c_0_520,c_0_217,c_0_521,c_0_312,c_0_218,c_0_522,c_0_523,c_0_460,c_0_524,c_0_446,c_0_175,c_0_525,c_0_526,c_0_527,c_0_277,c_0_352,c_0_363,c_0_528,c_0_529,c_0_530,c_0_531,c_0_441,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_542,c_0_543,c_0_238,c_0_544,c_0_439,c_0_545,c_0_332,c_0_333,c_0_372,c_0_371,c_0_153,c_0_158,c_0_150,c_0_147,c_0_146,c_0_141,c_0_283,c_0_149,c_0_157,c_0_115,c_0_140,c_0_145,c_0_241,c_0_242,c_0_177,c_0_101]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN506-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/5.37  % Computer : n026.cluster.edu
% 0.09/5.37  % Model    : x86_64 x86_64
% 0.09/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37  % Memory   : 8046.5625MB
% 0.09/5.37  % OS       : Linux 6.8.0-71-generic
% 0.09/5.37  % CPULimit : 300
% 0.09/5.37  % WCLimit  : 300
% 0.09/5.37  % DateTime : Mon Sep 21 11:06:43 UTC 2026
% 0.09/5.38  % CPUTime  : 
% 0.09/5.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.42  Running first-order theorem proving
% 0.14/5.42  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
% 7.78/6.45  % Version: 3.5.1
% 7.78/6.45  % Preprocessing class: FSLSSLSMSSSNFFN.
% 7.78/6.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.78/6.45  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 7.78/6.45  % Starting new_bool_3 with 300s (1) cores
% 7.78/6.45  % Starting new_bool_1 with 300s (1) cores
% 7.78/6.45  % Starting sh5l with 300s (1) cores
% 7.78/6.45  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2108265 completed with status 0
% 7.78/6.45  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 7.78/6.45  % Preprocessing class: FSLSSLSMSSSNFFN.
% 7.78/6.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.78/6.45  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 7.78/6.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.78/6.45  % No SInE strategy applied
% 7.78/6.45  % Search class: FGHNF-FSMM00-SFFFFFNN
% 7.78/6.45  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 7.78/6.45  % Starting SubtermCWHack with 151s (1) cores
% 7.78/6.45  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 7.78/6.45  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 7.78/6.45  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 7.78/6.45  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 7.78/6.45  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2108272 completed with status 0
% 7.78/6.45  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 7.78/6.45  % Preprocessing class: FSLSSLSMSSSNFFN.
% 7.78/6.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.78/6.45  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 7.78/6.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.78/6.45  % No SInE strategy applied
% 7.78/6.45  % Search class: FGHNF-FSMM00-SFFFFFNN
% 7.78/6.45  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 7.78/6.45  % Starting SubtermCWHack with 151s (1) cores
% 7.78/6.45  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 7.78/6.45  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 7.78/6.45  % Preprocessing time       : 0.002 s
% 7.78/6.45  % SatCheck found unsatisfiable ground set
% 7.78/6.45  
% 7.78/6.45  % Proof found!
% 7.78/6.45  % SZS status Unsatisfiable
% 7.78/6.45  % SZS output start CNFRefutation
% See solution above
% 7.78/6.45  % Parsed axioms                        : 196
% 7.78/6.45  % Removed by relevancy pruning/SinE    : 0
% 7.78/6.45  % Initial clauses                      : 196
% 7.78/6.45  % Removed in clause preprocessing      : 0
% 7.78/6.45  % Initial clauses in saturation        : 196
% 7.78/6.45  % Processed clauses                    : 8872
% 7.78/6.45  % ...of these trivial                  : 0
% 7.78/6.45  % ...subsumed                          : 3872
% 7.78/6.45  % ...remaining for further processing  : 5000
% 7.78/6.45  % Other redundant clauses eliminated   : 0
% 7.78/6.45  % Clauses deleted for lack of memory   : 0
% 7.78/6.45  % Backward-subsumed                    : 1287
% 7.78/6.45  % Backward-rewritten                   : 54
% 7.78/6.45  % Generated clauses                    : 48804
% 7.78/6.45  % ...of the previous two non-redundant : 44806
% 7.78/6.45  % ...aggressively subsumed             : 0
% 7.78/6.45  % Contextual simplify-reflections      : 681
% 7.78/6.45  % Paramodulations                      : 48692
% 7.78/6.45  % Factorizations                       : 0
% 7.78/6.45  % NegExts                              : 0
% 7.78/6.45  % Equation resolutions                 : 0
% 7.78/6.45  % Disequality decompositions           : 0
% 7.78/6.45  % Total rewrite steps                  : 98
% 7.78/6.45  % ...of those cached                   : 97
% 7.78/6.45  % Propositional unsat checks           : 1
% 7.78/6.45  %    Propositional check models        : 0
% 7.78/6.45  %    Propositional check unsatisfiable : 1
% 7.78/6.45  %    Propositional clauses             : 38559
% 7.78/6.45  %    Propositional clauses after purity: 37796
% 7.78/6.45  %    Propositional unsat core size     : 100
% 7.78/6.45  %    Propositional preprocessing time  : 0.000
% 7.78/6.45  %    Propositional encoding time       : 0.011
% 7.78/6.45  %    Propositional solver time         : 0.030
% 7.78/6.45  %    Success case prop preproc time    : 0.000
% 7.78/6.45  %    Success case prop encoding time   : 0.011
% 7.78/6.45  %    Success case prop solver time     : 0.030
% 7.78/6.45  % Current number of processed clauses  : 3613
% 7.78/6.45  %    Positive orientable unit clauses  : 1
% 7.78/6.45  %    Positive unorientable unit clauses: 0
% 7.78/6.45  %    Negative unit clauses             : 0
% 7.78/6.45  %    Non-unit-clauses                  : 3612
% 7.78/6.45  % Current number of unprocessed clauses: 34946
% 7.78/6.45  % ...number of literals in the above   : 226860
% 7.78/6.45  % Current number of archived formulas  : 0
% 7.78/6.45  % Current number of archived clauses   : 1341
% 7.78/6.45  % Clause-clause subsumption calls (NU) : 5102486
% 7.78/6.45  % Rec. Clause-clause subsumption calls : 714239
% 7.78/6.45  % Non-unit clause-clause subsumptions  : 5910
% 7.78/6.45  % Unit Clause-clause subsumption calls : 6
% 7.78/6.45  % Rewrite failures with RHS unbound    : 0
% 7.78/6.45  % BW rewrite match attempts            : 1
% 7.78/6.45  % BW rewrite match successes           : 1
% 7.78/6.45  % Condensation attempts                : 8872
% 7.78/6.45  % Condensation successes               : 0
% 7.78/6.45  % Termbank termtop insertions          : 449251
% 7.78/6.45  % Search garbage collected termcells   : 516
% 7.78/6.45  
% 7.78/6.45  % -------------------------------------------------
% 7.78/6.45  % User time                : 0.976 s
% 7.78/6.45  % System time              : 0.025 s
% 7.78/6.45  % Total time               : 1.001 s
% 7.78/6.45  % Maximum resident set size: 4044 pages
% 7.78/6.45  
% 7.78/6.45  % -------------------------------------------------
% 7.78/6.45  % User time                : 4.852 s
% 7.78/6.45  % System time              : 0.122 s
% 7.78/6.45  % Total time               : 4.974 s
% 7.78/6.45  % Maximum resident set size: 4864 pages
% 7.78/6.45  % E exiting
%------------------------------------------------------------------------------