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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN459-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:24:33 PM UTC 2026

% Result   : Unsatisfiable 23.85s 9.03s
% Output   : CNFRefutation 23.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  137
% Syntax   : Number of formulae    :  542 (   2 unt;   0 def)
%            Number of atoms       : 2128 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2610 (1024   ~;1545   |;   0   &)
%                                         (  41 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   66 (  65 usr;  62 prp; 0-1 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :  285 (   0 sgn  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause11,negated_conjecture,
    ( ~ hskp15
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

cnf(clause24,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

cnf(clause112,negated_conjecture,
    ( ~ ndr1_0
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(clause27,negated_conjecture,
    ( hskp2
    | hskp15
    | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

cnf(clause110,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a188) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(clause109,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a188) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(clause111,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a188) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(clause72,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a257) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(clause44,negated_conjecture,
    ( ~ hskp21
    | c2_1(a257) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(clause73,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a257) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(clause76,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a225) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(clause75,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a225) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(clause47,negated_conjecture,
    ( ~ hskp19
    | c3_1(a225) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(clause64,negated_conjecture,
    ( ~ hskp5
    | c0_1(a194) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(clause100,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a194) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(clause101,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a194) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(clause51,negated_conjecture,
    ( ~ hskp15
    | c2_1(a214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(clause83,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(clause84,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(clause69,negated_conjecture,
    ( ~ hskp1
    | c2_1(a190) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(clause68,negated_conjecture,
    ( ~ hskp1
    | c0_1(a190) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(clause108,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a190) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(clause94,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a199) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(clause93,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a199) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(clause29,negated_conjecture,
    ( hskp0
    | hskp9
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

cnf(clause35,negated_conjecture,
    ( ~ hskp25
    | c1_1(a230) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(clause34,negated_conjecture,
    ( ~ hskp25
    | c0_1(a230) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(clause30,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

cnf(clause59,negated_conjecture,
    ( ~ hskp9
    | c2_1(a199) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(clause37,negated_conjecture,
    ( ~ hskp24
    | c1_1(a215) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(clause39,negated_conjecture,
    ( ~ hskp24
    | c3_1(a215) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(clause38,negated_conjecture,
    ( ~ hskp24
    | c2_1(a215) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(clause54,negated_conjecture,
    ( ~ hskp13
    | c1_1(a209) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

cnf(clause55,negated_conjecture,
    ( ~ hskp13
    | c3_1(a209) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(clause86,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a209) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(clause151,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

cnf(clause43,negated_conjecture,
    ( ~ hskp22
    | c3_1(a259) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

cnf(clause70,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a259) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(clause71,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a259) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(clause105,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a191) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

cnf(clause107,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a191) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(clause62,negated_conjecture,
    ( ~ hskp7
    | c1_1(a197) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(clause96,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a197) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

cnf(clause116,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp9
    | hskp11
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(clause114,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp4
    | hskp3
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(clause125,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | hskp10
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(clause123,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp4
    | hskp7
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(clause127,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(clause126,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(clause133,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp5
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

cnf(clause156,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

cnf(clause143,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

cnf(clause113,negated_conjecture,
    ( ~ ndr1_0
    | hskp6
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(clause106,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a191) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(clause159,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

cnf(clause158,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

cnf(clause160,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

cnf(clause36,negated_conjecture,
    ( ~ hskp25
    | c2_1(a230) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(clause41,negated_conjecture,
    ( ~ hskp23
    | c1_1(a189) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(clause40,negated_conjecture,
    ( ~ hskp23
    | c0_1(a189) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

cnf(clause42,negated_conjecture,
    ( ~ hskp23
    | c3_1(a189) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(clause67,negated_conjecture,
    ( ~ hskp3
    | c1_1(a192) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(clause58,negated_conjecture,
    ( ~ hskp10
    | c3_1(a200) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(clause98,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(clause91,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a202) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(clause92,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a200) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

cnf(clause31,negated_conjecture,
    ( hskp2
    | hskp22
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

cnf(clause57,negated_conjecture,
    ( ~ hskp10
    | c0_1(a200) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(clause65,negated_conjecture,
    ( ~ hskp4
    | c1_1(a193) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(clause102,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a193) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(clause103,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a193) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(clause97,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a197) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(clause163,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

cnf(clause155,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

cnf(clause153,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

cnf(clause145,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

cnf(clause148,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

cnf(clause149,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | c3_1(X2)
    | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

cnf(clause140,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

cnf(clause138,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp2
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

cnf(clause137,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

cnf(clause141,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

cnf(clause139,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

cnf(clause136,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

cnf(clause134,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp10
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

cnf(clause135,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp13
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

cnf(clause130,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp15
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

cnf(clause129,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp23
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

cnf(clause28,negated_conjecture,
    ( hskp2
    | hskp9
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

cnf(clause104,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a192) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(clause99,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(clause90,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a202) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

cnf(clause66,negated_conjecture,
    ( ~ hskp3
    | c0_1(a192) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(clause63,negated_conjecture,
    ( ~ hskp6
    | c0_1(a195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(clause56,negated_conjecture,
    ( ~ hskp11
    | c0_1(a202) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(c_0_96,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause1]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ hskp15
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause11]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause24]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ ndr1_0
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause112]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    c_0_96 ).

cnf(c_0_101,negated_conjecture,
    ( hskp2
    | hskp15
    | hskp25 ),
    clause27 ).

cnf(c_0_102,negated_conjecture,
    ( ~ hskp15
    | ndr1_0 ),
    c_0_97 ).

cnf(c_0_103,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    c_0_98 ).

cnf(c_0_104,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a188) ),
    inference(fof_simplification,[status(thm)],[clause110]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ ndr1_0
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_99 ).

cnf(c_0_106,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a188) ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a188) ),
    inference(fof_simplification,[status(thm)],[clause111]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a257) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

fof(c_0_110,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_111,negated_conjecture,
    ( ~ hskp21
    | c2_1(a257) ),
    inference(fof_simplification,[status(thm)],[clause44]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a257) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a225) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

fof(c_0_114,plain,
    ( ~ epred45_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c1_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_115,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a225) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

fof(c_0_116,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_117,negated_conjecture,
    ( ~ hskp19
    | c3_1(a225) ),
    inference(fof_simplification,[status(thm)],[clause47]) ).

fof(c_0_118,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a188) ),
    c_0_104 ).

cnf(c_0_120,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a188) ),
    c_0_107 ).

cnf(c_0_122,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a188) ),
    c_0_108 ).

fof(c_0_123,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c1_1(X2)
        | hskp9 ) ),
    introduced(definition) ).

cnf(c_0_124,negated_conjecture,
    ( ~ hskp5
    | c0_1(a194) ),
    inference(fof_simplification,[status(thm)],[clause64]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a194) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a194) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

fof(c_0_127,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c0_1(X1)
        | hskp5 ) ),
    introduced(definition) ).

cnf(c_0_128,negated_conjecture,
    ( ~ hskp15
    | c2_1(a214) ),
    inference(fof_simplification,[status(thm)],[clause51]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a214) ),
    inference(fof_simplification,[status(thm)],[clause83]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a214) ),
    inference(fof_simplification,[status(thm)],[clause84]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a257) ),
    c_0_109 ).

cnf(c_0_132,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred22_0 ),
    inference(split_equiv,[status(thm)],[c_0_110]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ hskp21
    | c2_1(a257) ),
    c_0_111 ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a257) ),
    c_0_112 ).

cnf(c_0_135,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a225) ),
    c_0_113 ).

cnf(c_0_136,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred45_0 ),
    inference(split_equiv,[status(thm)],[c_0_114]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a225) ),
    c_0_115 ).

cnf(c_0_138,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred8_0 ),
    inference(split_equiv,[status(thm)],[c_0_116]) ).

cnf(c_0_139,negated_conjecture,
    ( ~ hskp19
    | c3_1(a225) ),
    c_0_117 ).

fof(c_0_140,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp19 ) ),
    introduced(definition) ).

cnf(c_0_141,negated_conjecture,
    ( ~ hskp1
    | c2_1(a190) ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp1
    | c0_1(a190) ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a190) ),
    inference(fof_simplification,[status(thm)],[clause108]) ).

cnf(c_0_144,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred16_0 ),
    inference(split_equiv,[status(thm)],[c_0_118]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a199) ),
    inference(fof_simplification,[status(thm)],[clause94]) ).

fof(c_0_146,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a199) ),
    inference(fof_simplification,[status(thm)],[clause93]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp0
    | hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_122]) ).

cnf(c_0_149,negated_conjecture,
    ( hskp0
    | hskp9
    | hskp1 ),
    clause29 ).

fof(c_0_150,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ c0_1(X3)
        | c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_151,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_152,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_153,negated_conjecture,
    ( ~ hskp25
    | c1_1(a230) ),
    inference(fof_simplification,[status(thm)],[clause35]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ hskp25
    | c0_1(a230) ),
    inference(fof_simplification,[status(thm)],[clause34]) ).

fof(c_0_155,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp13 ) ),
    introduced(definition) ).

fof(c_0_156,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_157,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c1_1(X2)
        | hskp13 ) ),
    introduced(definition) ).

cnf(c_0_158,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp9
    | c1_1(X1)
    | c2_1(X1)
    | epred35_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_123]),c_0_106])]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp5
    | c0_1(a194) ),
    c_0_124 ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a194) ),
    c_0_125 ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a194) ),
    c_0_126 ).

cnf(c_0_162,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp5
    | c0_1(X1)
    | c3_1(X1)
    | epred11_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_127]),c_0_106])]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp15
    | c2_1(a214) ),
    c_0_128 ).

cnf(c_0_164,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a214) ),
    c_0_129 ).

cnf(c_0_165,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a214) ),
    c_0_130 ).

cnf(c_0_166,negated_conjecture,
    ( ~ hskp21
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]),c_0_134]) ).

cnf(c_0_167,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp5 ),
    clause30 ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a225)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp19
    | c2_1(a225)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_137]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp19
    | c3_1(X1)
    | epred21_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_140]),c_0_106])]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp1
    | c2_1(a190) ),
    c_0_141 ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp1
    | c0_1(a190) ),
    c_0_142 ).

cnf(c_0_173,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a190) ),
    c_0_143 ).

cnf(c_0_174,negated_conjecture,
    ( ~ hskp9
    | c2_1(a199) ),
    inference(fof_simplification,[status(thm)],[clause59]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp19
    | c2_1(a225)
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_144]),c_0_137]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a199) ),
    c_0_145 ).

cnf(c_0_177,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred25_0 ),
    inference(split_equiv,[status(thm)],[c_0_146]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a199) ),
    c_0_147 ).

cnf(c_0_179,negated_conjecture,
    ( hskp9
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred51_0 ),
    inference(split_equiv,[status(thm)],[c_0_150]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred50_0 ),
    inference(split_equiv,[status(thm)],[c_0_151]) ).

cnf(c_0_182,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | epred36_0 ),
    inference(split_equiv,[status(thm)],[c_0_152]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp25
    | c1_1(a230) ),
    c_0_153 ).

cnf(c_0_184,negated_conjecture,
    ( ~ hskp25
    | c0_1(a230) ),
    c_0_154 ).

cnf(c_0_185,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | c3_1(X1)
    | epred23_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_155]),c_0_106])]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp24
    | c1_1(a215) ),
    inference(fof_simplification,[status(thm)],[clause37]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp24
    | c3_1(a215) ),
    inference(fof_simplification,[status(thm)],[clause39]) ).

fof(c_0_188,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ ndr1_0
        | c0_1(X2)
        | hskp7 ) ),
    introduced(definition) ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp24
    | c2_1(a215) ),
    inference(fof_simplification,[status(thm)],[clause38]) ).

fof(c_0_190,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c1_1(X2)
        | hskp24 ) ),
    introduced(definition) ).

fof(c_0_191,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp13
    | c1_1(a209) ),
    inference(fof_simplification,[status(thm)],[clause54]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp13
    | c3_1(a209) ),
    inference(fof_simplification,[status(thm)],[clause55]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a209) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred14_0 ),
    inference(split_equiv,[status(thm)],[c_0_156]) ).

cnf(c_0_196,negated_conjecture,
    ( hskp13
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_157]),c_0_106])]) ).

fof(c_0_197,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp1 ) ),
    introduced(definition) ).

fof(c_0_198,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_199,negated_conjecture,
    ( ~ hskp5
    | hskp9
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]),c_0_161]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp15
    | hskp5
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]),c_0_165]) ).

cnf(c_0_201,negated_conjecture,
    ( hskp15
    | hskp5
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

fof(c_0_202,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | hskp13 ) ),
    introduced(definition) ).

fof(c_0_203,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_204,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause151]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ hskp19
    | epred8_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ hskp1
    | hskp19
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_173]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ hskp9
    | c2_1(a199) ),
    c_0_174 ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp19
    | epred16_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_175]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a199)
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).

cnf(c_0_210,negated_conjecture,
    ( hskp1
    | c0_1(a199)
    | c3_1(a199) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_120]),c_0_179]) ).

fof(c_0_211,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_212,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a257)
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_180]),c_0_133]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ hskp21
    | c0_1(a257)
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_181]),c_0_133]) ).

fof(c_0_214,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_215,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp22
    | c3_1(a259) ),
    inference(fof_simplification,[status(thm)],[clause43]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a259) ),
    inference(fof_simplification,[status(thm)],[clause70]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a259) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a230)
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp25
    | hskp13
    | c3_1(a230)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_183]),c_0_184]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ hskp24
    | c1_1(a215) ),
    c_0_186 ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp24
    | c3_1(a215) ),
    c_0_187 ).

cnf(c_0_223,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp7
    | c0_1(X1)
    | epred39_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_188]),c_0_106])]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp24
    | c2_1(a215) ),
    c_0_189 ).

cnf(c_0_225,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp24
    | c1_1(X1)
    | c2_1(X1)
    | epred17_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_190]),c_0_106])]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_191]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp13
    | c1_1(a209) ),
    c_0_192 ).

cnf(c_0_228,negated_conjecture,
    ( ~ hskp13
    | c3_1(a209) ),
    c_0_193 ).

cnf(c_0_229,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a209) ),
    c_0_194 ).

cnf(c_0_230,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a194)
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_195]),c_0_161]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp5
    | hskp13
    | c3_1(a194)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_196]),c_0_161]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp1
    | c3_1(X1)
    | epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_197]),c_0_106])]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp21
    | hskp1
    | c0_1(a257) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_120]),c_0_134]) ).

fof(c_0_234,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp2 ) ),
    introduced(definition) ).

fof(c_0_235,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp15 ) ),
    introduced(definition) ).

fof(c_0_236,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c1_1(X2)
        | hskp10 ) ),
    introduced(definition) ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a191) ),
    inference(fof_simplification,[status(thm)],[clause105]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a191) ),
    inference(fof_simplification,[status(thm)],[clause107]) ).

fof(c_0_239,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_240,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

fof(c_0_241,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_242,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2)
        | c0_1(X2)
        | hskp23 ) ),
    introduced(definition) ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp7
    | c1_1(a197) ),
    inference(fof_simplification,[status(thm)],[clause62]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a197) ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

fof(c_0_245,plain,
    ( ~ epred57_0
  <=> ! [X3] :
        ( ~ c0_1(X3)
        | ~ ndr1_0
        | c3_1(X3)
        | c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_246,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred18_0 ),
    inference(split_equiv,[status(thm)],[c_0_198]) ).

fof(c_0_247,plain,
    ( ~ epred49_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_248,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp9
    | hskp11
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp4
    | hskp3
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | hskp10
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause125]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp4
    | hskp7
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | hskp23 ),
    inference(fof_simplification,[status(thm)],[clause127]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | hskp1 ),
    inference(fof_simplification,[status(thm)],[clause126]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp5
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause133]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ hskp15
    | hskp9
    | epred11_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_256,negated_conjecture,
    ( hskp15
    | hskp9
    | epred22_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_199,c_0_201]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp13
    | c2_1(X1)
    | c3_1(X1)
    | epred31_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_202]),c_0_106])]) ).

fof(c_0_258,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c1_1(X1)
        | hskp2 ) ),
    introduced(definition) ).

cnf(c_0_259,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_203]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause156]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause143]) ).

fof(c_0_262,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_263,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_204 ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp1
    | epred8_0
    | epred21_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp9
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_136]),c_0_207]),c_0_178]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ hskp1
    | epred16_0
    | epred21_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_206]) ).

cnf(c_0_267,negated_conjecture,
    ( hskp1
    | c0_1(a199)
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_179]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ ndr1_0
    | hskp6
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a191) ),
    inference(fof_simplification,[status(thm)],[clause106]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause159]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred29_0 ),
    inference(split_equiv,[status(thm)],[c_0_211]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ hskp21
    | epred50_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_273,negated_conjecture,
    ( ~ hskp15
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_181]),c_0_163]),c_0_164]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause158]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause160]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred42_0 ),
    inference(split_equiv,[status(thm)],[c_0_214]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | epred27_0 ),
    inference(split_equiv,[status(thm)],[c_0_215]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp22
    | c3_1(a259) ),
    c_0_216 ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a259) ),
    c_0_217 ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a259) ),
    c_0_218 ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp25
    | c2_1(a230) ),
    inference(fof_simplification,[status(thm)],[clause36]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ hskp23
    | c1_1(a189) ),
    inference(fof_simplification,[status(thm)],[clause41]) ).

cnf(c_0_283,negated_conjecture,
    ( ~ hskp23
    | c0_1(a189) ),
    inference(fof_simplification,[status(thm)],[clause40]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp23
    | c3_1(a189) ),
    inference(fof_simplification,[status(thm)],[clause42]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp25
    | hskp13
    | epred23_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a215)
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_221]),c_0_222]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp24
    | hskp7
    | c0_1(a215)
    | epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_222]),c_0_224]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp5
    | hskp24
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_159]),c_0_160]),c_0_161]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp13
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]),c_0_229]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp5
    | hskp13
    | epred5_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp21
    | hskp1
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_133]),c_0_233]),c_0_134]) ).

cnf(c_0_292,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp2
    | c3_1(X1)
    | epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_234]),c_0_106])]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp15
    | c2_1(X1)
    | c3_1(X1)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_235]),c_0_106])]) ).

cnf(c_0_294,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_236]),c_0_106])]) ).

cnf(c_0_295,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a191) ),
    c_0_237 ).

cnf(c_0_296,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a191) ),
    c_0_238 ).

fof(c_0_297,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp1 ) ),
    introduced(definition) ).

cnf(c_0_298,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | epred40_0 ),
    inference(split_equiv,[status(thm)],[c_0_239]) ).

cnf(c_0_299,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp0
    | c2_1(X1)
    | epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_240]),c_0_106])]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred12_0 ),
    inference(split_equiv,[status(thm)],[c_0_241]) ).

cnf(c_0_301,negated_conjecture,
    ( hskp23
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_242]),c_0_106])]) ).

cnf(c_0_302,negated_conjecture,
    ( ~ hskp7
    | c1_1(a197) ),
    c_0_243 ).

cnf(c_0_303,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a197) ),
    c_0_244 ).

cnf(c_0_304,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred57_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_245]),c_0_106])]) ).

cnf(c_0_305,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | epred18_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_182,c_0_246]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred49_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_247]),c_0_106])]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp9
    | hskp11
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_248 ).

cnf(c_0_308,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp4
    | hskp3
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_249 ).

cnf(c_0_309,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | hskp10
    | c3_1(X1) ),
    c_0_250 ).

cnf(c_0_310,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp4
    | hskp7
    | c3_1(X1) ),
    c_0_251 ).

cnf(c_0_311,negated_conjecture,
    ( ~ hskp3
    | c1_1(a192) ),
    inference(fof_simplification,[status(thm)],[clause67]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | hskp23 ),
    c_0_252 ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp10
    | c3_1(a200) ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | hskp1 ),
    c_0_253 ).

cnf(c_0_315,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a195) ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_316,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a202) ),
    inference(fof_simplification,[status(thm)],[clause91]) ).

fof(c_0_317,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_318,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a200) ),
    inference(fof_simplification,[status(thm)],[clause92]) ).

fof(c_0_319,plain,
    ( ~ epred44_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_320,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp5
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_254 ).

cnf(c_0_321,negated_conjecture,
    ( hskp9
    | epred11_0
    | epred22_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_322,negated_conjecture,
    ( ~ hskp5
    | hskp13
    | c3_1(a194)
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_159]),c_0_161]) ).

cnf(c_0_323,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp2
    | c1_1(X1)
    | c2_1(X1)
    | epred26_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_258]),c_0_106])]) ).

cnf(c_0_324,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a225)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_139]),c_0_137]) ).

cnf(c_0_325,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a257)
    | hskp19
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_133]),c_0_134]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_260 ).

cnf(c_0_327,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_261 ).

cnf(c_0_328,negated_conjecture,
    ( ~ epred8_0
    | ~ epred16_0
    | ~ epred43_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_263,c_0_262]),c_0_116]),c_0_118]) ).

cnf(c_0_329,negated_conjecture,
    ( epred8_0
    | epred21_0
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_179]),c_0_265]) ).

cnf(c_0_330,negated_conjecture,
    ( epred16_0
    | epred21_0
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_179]),c_0_265]) ).

cnf(c_0_331,negated_conjecture,
    ( ~ hskp19
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_177]),c_0_139]),c_0_137]) ).

cnf(c_0_332,negated_conjecture,
    ( hskp1
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_267]),c_0_179]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ ndr1_0
    | hskp6
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_268 ).

cnf(c_0_334,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a191) ),
    c_0_269 ).

cnf(c_0_335,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    c_0_270 ).

cnf(c_0_336,negated_conjecture,
    ( ~ hskp5
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_271]),c_0_159]),c_0_161]) ).

cnf(c_0_337,negated_conjecture,
    ( hskp5
    | epred50_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_167]),c_0_273]) ).

cnf(c_0_338,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    c_0_274 ).

cnf(c_0_339,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2) ),
    c_0_275 ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a215)
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_222]),c_0_224]) ).

cnf(c_0_341,negated_conjecture,
    ( ~ hskp24
    | c0_1(a215)
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_221]),c_0_224]) ).

cnf(c_0_342,negated_conjecture,
    ( ~ hskp22
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_278]),c_0_279]),c_0_280]) ).

cnf(c_0_343,negated_conjecture,
    ( hskp2
    | hskp22
    | hskp24 ),
    clause31 ).

cnf(c_0_344,negated_conjecture,
    ( ~ hskp10
    | c0_1(a200) ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ hskp25
    | c2_1(a230) ),
    c_0_281 ).

cnf(c_0_346,negated_conjecture,
    ( ~ hskp23
    | c1_1(a189) ),
    c_0_282 ).

cnf(c_0_347,negated_conjecture,
    ( ~ hskp23
    | c0_1(a189) ),
    c_0_283 ).

cnf(c_0_348,negated_conjecture,
    ( ~ hskp23
    | c3_1(a189) ),
    c_0_284 ).

fof(c_0_349,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp4
    | c1_1(a193) ),
    inference(fof_simplification,[status(thm)],[clause65]) ).

cnf(c_0_351,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a193) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a193) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

fof(c_0_353,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_354,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_355,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a197) ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3) ),
    inference(fof_simplification,[status(thm)],[clause163]) ).

cnf(c_0_357,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause155]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause153]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause145]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause148]) ).

cnf(c_0_361,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | c3_1(X2)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause149]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause140]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp2
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause138]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause137]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause141]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause139]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause136]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp10
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause134]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp13
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause135]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp15
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause130]) ).

cnf(c_0_371,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp23
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause129]) ).

cnf(c_0_372,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp2
    | epred23_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_285,c_0_101]) ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp24
    | hskp7
    | epred36_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_286,c_0_287]) ).

cnf(c_0_374,negated_conjecture,
    ( hskp24
    | hskp15
    | epred17_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_288,c_0_201]) ).

cnf(c_0_375,negated_conjecture,
    ( ~ hskp5
    | epred5_0
    | epred10_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_289,c_0_290]) ).

cnf(c_0_376,negated_conjecture,
    ( hskp15
    | hskp5
    | hskp1
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_167]) ).

cnf(c_0_377,negated_conjecture,
    ( ~ hskp25
    | hskp2
    | c3_1(a230)
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_183]),c_0_184]) ).

cnf(c_0_378,negated_conjecture,
    ( hskp15
    | hskp10
    | c2_1(X1)
    | c3_1(X1)
    | epred3_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_294]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp1
    | c0_1(X1)
    | c3_1(X1)
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_277,c_0_120]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ hskp2
    | hskp1
    | c0_1(a191) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_120]),c_0_296]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp1
    | c2_1(X1)
    | c3_1(X1)
    | epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_297]),c_0_106])]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred22_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_298,c_0_132]) ).

cnf(c_0_383,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp0
    | c2_1(X1)
    | epred14_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_299,c_0_195]) ).

cnf(c_0_384,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred22_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_277,c_0_132]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred12_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_300,c_0_132]) ).

cnf(c_0_386,negated_conjecture,
    ( hskp23
    | hskp15
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred1_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_301]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ hskp7
    | c3_1(a197)
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_302]),c_0_303]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp2
    | c3_1(X1)
    | epred24_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_304]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp13
    | c3_1(X1)
    | epred23_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_185,c_0_304]) ).

cnf(c_0_390,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | epred18_0
    | epred36_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_305,c_0_306]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp11
    | hskp9
    | c0_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_106])]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp4
    | hskp3
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_106])]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp24
    | hskp10
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_106])]) ).

cnf(c_0_394,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | hskp4
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_106])]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ hskp3
    | c1_1(a192) ),
    c_0_311 ).

cnf(c_0_396,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp23
    | hskp5 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_106])]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ hskp10
    | c3_1(a200) ),
    c_0_313 ).

cnf(c_0_398,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp2
    | hskp1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_106])]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a195) ),
    c_0_315 ).

cnf(c_0_400,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a202) ),
    c_0_316 ).

cnf(c_0_401,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred47_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_317]),c_0_106])]) ).

cnf(c_0_402,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a200) ),
    c_0_318 ).

cnf(c_0_403,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred44_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_319]),c_0_106])]) ).

cnf(c_0_404,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred43_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_262]),c_0_106])]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ epred11_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_320,c_0_127]),c_0_241]) ).

cnf(c_0_406,negated_conjecture,
    ( epred11_0
    | epred22_0
    | epred35_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_265,c_0_321]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ hskp5
    | hskp13
    | epred14_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_230,c_0_322]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ hskp5
    | hskp2
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_159]),c_0_160]),c_0_161]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ hskp19
    | epred6_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_324,c_0_169]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ hskp21
    | hskp19
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_233]),c_0_206]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ epred8_0
    | ~ epred22_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_326,c_0_317]),c_0_110]),c_0_116]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ epred21_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_327,c_0_140]),c_0_110]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ epred43_0
    | epred21_0
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_330]) ).

cnf(c_0_414,negated_conjecture,
    ( epred21_0
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_206]),c_0_332]) ).

cnf(c_0_415,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_106])]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a191)
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_271]),c_0_334]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ epred29_0
    | ~ epred40_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_335,c_0_247]),c_0_211]),c_0_239]) ).

cnf(c_0_418,negated_conjecture,
    ( epred29_0
    | epred50_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_336,c_0_337]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ epred40_0
    | ~ epred49_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_338,c_0_247]),c_0_151]),c_0_239]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ epred40_0
    | ~ epred49_0
    | ~ epred51_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_339,c_0_247]),c_0_150]),c_0_239]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ hskp24
    | epred27_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_340,c_0_341]) ).

cnf(c_0_422,negated_conjecture,
    ( hskp24
    | hskp2
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_342,c_0_343]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ hskp24
    | c0_1(a215)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_221]),c_0_222]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ hskp10
    | c0_1(a200) ),
    c_0_344 ).

cnf(c_0_425,negated_conjecture,
    ( ~ hskp25
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_183]),c_0_184]),c_0_345]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ hskp2
    | hskp13
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_196]),c_0_334]),c_0_296]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ hskp24
    | epred27_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_286,c_0_341]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ hskp23
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_346]),c_0_347]),c_0_348]) ).

cnf(c_0_429,negated_conjecture,
    ( hskp2
    | hskp9
    | hskp23 ),
    clause28 ).

cnf(c_0_430,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred32_0 ),
    inference(split_equiv,[status(thm)],[c_0_349]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ hskp4
    | c1_1(a193) ),
    c_0_350 ).

cnf(c_0_432,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a193) ),
    c_0_351 ).

cnf(c_0_433,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a193) ),
    c_0_352 ).

cnf(c_0_434,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_353]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_354]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a197) ),
    c_0_355 ).

cnf(c_0_437,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c3_1(X1)
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_300,c_0_120]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c1_1(X3) ),
    c_0_356 ).

cnf(c_0_439,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_357 ).

cnf(c_0_440,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp7
    | c0_1(X2) ),
    c_0_358 ).

cnf(c_0_441,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_359 ).

cnf(c_0_442,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_360 ).

cnf(c_0_443,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | c3_1(X2)
    | c2_1(X2) ),
    c_0_361 ).

cnf(c_0_444,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_362 ).

cnf(c_0_445,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp2
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_363 ).

cnf(c_0_446,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp2
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1) ),
    c_0_364 ).

cnf(c_0_447,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_365 ).

cnf(c_0_448,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    c_0_366 ).

cnf(c_0_449,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_367 ).

cnf(c_0_450,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp10
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_368 ).

cnf(c_0_451,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp13
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_369 ).

cnf(c_0_452,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp15
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_370 ).

cnf(c_0_453,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp23
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_371 ).

cnf(c_0_454,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a192) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a195) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a202) ),
    inference(fof_simplification,[status(thm)],[clause90]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ hskp3
    | c0_1(a192) ),
    inference(fof_simplification,[status(thm)],[clause66]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ hskp6
    | c0_1(a195) ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ hskp11
    | c0_1(a202) ),
    inference(fof_simplification,[status(thm)],[clause56]) ).

cnf(c_0_460,negated_conjecture,
    ( hskp15
    | hskp2
    | epred23_0
    | epred36_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_289,c_0_372]) ).

cnf(c_0_461,negated_conjecture,
    ( hskp15
    | epred17_0
    | epred22_0
    | hskp7
    | epred36_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_373,c_0_374]) ).

cnf(c_0_462,negated_conjecture,
    ( hskp15
    | hskp1
    | epred28_0
    | epred5_0
    | epred10_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a230)
    | ~ c2_1(a230)
    | hskp2
    | epred24_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_276,c_0_377]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a230)
    | ~ c2_1(a230)
    | hskp13
    | epred23_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_276,c_0_220]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ hskp2
    | hskp15
    | hskp10
    | c2_1(a191)
    | epred3_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_378]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ hskp15
    | hskp1
    | c0_1(a214)
    | c3_1(a214)
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_163]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ c2_1(a199)
    | hskp1
    | c0_1(a199)
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_259,c_0_210]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ hskp2
    | hskp1
    | hskp13
    | c2_1(a191)
    | c3_1(a191)
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_257,c_0_380]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ hskp2
    | hskp1
    | c2_1(a191)
    | c3_1(a191)
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_381,c_0_380]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ c0_1(a190)
    | ~ c2_1(a190)
    | ~ hskp1
    | epred22_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_173,c_0_382]) ).

cnf(c_0_471,negated_conjecture,
    ( ~ hskp5
    | hskp13
    | epred5_0
    | hskp0
    | c2_1(a194)
    | epred14_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_383,c_0_231]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ c2_1(a214)
    | ~ hskp15
    | c0_1(a214)
    | epred22_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_165,c_0_384]) ).

cnf(c_0_473,negated_conjecture,
    ( ~ c2_1(a214)
    | ~ hskp15
    | c0_1(a214)
    | epred12_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_165,c_0_385]) ).

cnf(c_0_474,negated_conjecture,
    ( ~ hskp2
    | hskp23
    | hskp15
    | c0_1(a191)
    | c2_1(a191)
    | epred1_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_386]) ).

cnf(c_0_475,negated_conjecture,
    ( ~ c0_1(a194)
    | ~ hskp5
    | c2_1(a194)
    | epred49_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_230,c_0_306]) ).

cnf(c_0_476,negated_conjecture,
    ( ~ hskp7
    | epred12_0
    | c0_1(a197)
    | c2_1(a197)
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_138,c_0_387]) ).

cnf(c_0_477,negated_conjecture,
    ( ~ hskp1
    | hskp2
    | c3_1(a190)
    | epred24_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_388,c_0_172]) ).

cnf(c_0_478,negated_conjecture,
    ( ~ hskp1
    | hskp13
    | c3_1(a190)
    | epred23_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_389,c_0_172]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ c0_1(a194)
    | ~ hskp5
    | epred18_0
    | epred36_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_161,c_0_390]) ).

cnf(c_0_480,negated_conjecture,
    ( ~ hskp15
    | hskp11
    | hskp9
    | c0_1(a214)
    | c3_1(a214) ),
    inference(spm,[status(thm)],[c_0_391,c_0_163]) ).

cnf(c_0_481,negated_conjecture,
    ( ~ hskp19
    | hskp4
    | hskp3
    | c0_1(a225)
    | c1_1(a225) ),
    inference(spm,[status(thm)],[c_0_392,c_0_139]) ).

cnf(c_0_482,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a190)
    | hskp24
    | hskp10
    | c3_1(a190) ),
    inference(spm,[status(thm)],[c_0_393,c_0_171]) ).

cnf(c_0_483,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a192)
    | hskp7
    | hskp4
    | c3_1(a192) ),
    inference(spm,[status(thm)],[c_0_394,c_0_395]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a200)
    | ~ c2_1(a200)
    | hskp23
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_485,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a230)
    | ~ c3_1(a230)
    | hskp2
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_398,c_0_183]) ).

cnf(c_0_486,negated_conjecture,
    ( ~ c0_1(a195)
    | ~ hskp6
    | c3_1(a195)
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_399,c_0_304]) ).

cnf(c_0_487,negated_conjecture,
    ( ~ c0_1(a202)
    | ~ hskp11
    | c2_1(a202)
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_400,c_0_306]) ).

cnf(c_0_488,negated_conjecture,
    ( ~ c0_1(a191)
    | ~ hskp2
    | c2_1(a191)
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_306]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ c0_1(a190)
    | ~ c2_1(a190)
    | ~ hskp1
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_173,c_0_401]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ c0_1(a200)
    | ~ hskp10
    | c2_1(a200)
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_402,c_0_403]) ).

cnf(c_0_491,negated_conjecture,
    ( ~ c0_1(a194)
    | ~ hskp5
    | c2_1(a194)
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_160,c_0_403]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ c0_1(a191)
    | ~ hskp2
    | c2_1(a191)
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_295,c_0_403]) ).

cnf(c_0_493,negated_conjecture,
    ( ~ hskp2
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_404]),c_0_334]),c_0_296]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ epred12_0
    | epred22_0
    | epred35_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_405,c_0_406]) ).

cnf(c_0_495,negated_conjecture,
    ( ~ hskp5
    | epred10_0
    | epred14_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_289,c_0_407]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ hskp15
    | hskp2
    | epred11_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_408,c_0_200]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ hskp25
    | hskp2
    | epred24_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_219,c_0_377]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ hskp21
    | epred6_0
    | epred8_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_409,c_0_410]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ epred22_0
    | ~ epred47_0
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_329]),c_0_412]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ epred22_0
    | ~ epred43_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ epred22_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_414]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ hskp2
    | hskp6
    | c0_1(a191) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_415]),c_0_334]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ hskp2
    | hskp1
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_416,c_0_380]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ epred40_0
    | ~ epred49_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]),c_0_420]) ).

cnf(c_0_505,negated_conjecture,
    ( hskp2
    | epred8_0
    | epred27_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ hskp24
    | epred10_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_340,c_0_423]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a200)
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_397]),c_0_424]) ).

cnf(c_0_508,negated_conjecture,
    ( hskp15
    | hskp2
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_425,c_0_101]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ hskp2
    | epred5_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_289,c_0_426]) ).

cnf(c_0_510,negated_conjecture,
    ( hskp2
    | epred8_0
    | epred27_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_427,c_0_422]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ hskp24
    | epred10_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_286,c_0_423]) ).

cnf(c_0_512,negated_conjecture,
    ( hskp9
    | hskp2
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_428,c_0_429]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ hskp24
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_221]),c_0_224]),c_0_222]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ hskp10
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_246]),c_0_424]),c_0_397]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ hskp4
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_431]),c_0_432]),c_0_433]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ hskp2
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_434]),c_0_334]),c_0_296]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ hskp7
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_302]),c_0_303]),c_0_436]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ hskp15
    | hskp1
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_437]),c_0_164]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ epred36_0
    | ~ epred42_0
    | ~ epred57_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_438,c_0_245]),c_0_152]),c_0_214]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ epred10_0
    | ~ epred44_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_439,c_0_319]),c_0_114]),c_0_191]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ epred39_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_440,c_0_188]),c_0_239]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ epred27_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_441,c_0_240]),c_0_215]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ epred35_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_442,c_0_123]),c_0_152]) ).

cnf(c_0_524,negated_conjecture,
    ( ~ epred31_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_443,c_0_202]),c_0_349]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ epred28_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_444,c_0_197]),c_0_211]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ epred26_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_445,c_0_258]),c_0_215]) ).

cnf(c_0_527,negated_conjecture,
    ( ~ epred24_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_446,c_0_234]),c_0_146]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ epred14_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_447,c_0_155]),c_0_156]) ).

cnf(c_0_529,negated_conjecture,
    ( ~ epred17_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_448,c_0_190]),c_0_198]) ).

cnf(c_0_530,negated_conjecture,
    ( ~ epred13_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_449,c_0_297]),c_0_156]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ epred9_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_450,c_0_236]),c_0_191]) ).

cnf(c_0_532,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_451,c_0_157]),c_0_203]) ).

cnf(c_0_533,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_452,c_0_235]),c_0_353]) ).

cnf(c_0_534,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_453,c_0_242]),c_0_354]) ).

cnf(c_0_535,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a192) ),
    c_0_454 ).

cnf(c_0_536,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a195) ),
    c_0_455 ).

cnf(c_0_537,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a202) ),
    c_0_456 ).

cnf(c_0_538,negated_conjecture,
    ( ~ hskp3
    | c0_1(a192) ),
    c_0_457 ).

cnf(c_0_539,negated_conjecture,
    ( ~ hskp6
    | c0_1(a195) ),
    c_0_458 ).

cnf(c_0_540,negated_conjecture,
    ( ~ hskp11
    | c0_1(a202) ),
    c_0_459 ).

cnf(c_0_541,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_460,c_0_461,c_0_462,c_0_463,c_0_464,c_0_465,c_0_466,c_0_467,c_0_468,c_0_469,c_0_470,c_0_471,c_0_472,c_0_473,c_0_474,c_0_475,c_0_476,c_0_477,c_0_478,c_0_479,c_0_480,c_0_481,c_0_482,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_256,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_206,c_0_332,c_0_288,c_0_200,c_0_502,c_0_503,c_0_380,c_0_179,c_0_148,c_0_504,c_0_265,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_428,c_0_513,c_0_201,c_0_514,c_0_515,c_0_289,c_0_516,c_0_517,c_0_292,c_0_518,c_0_519,c_0_411,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_528,c_0_412,c_0_529,c_0_530,c_0_405,c_0_531,c_0_532,c_0_533,c_0_534,c_0_173,c_0_296,c_0_334,c_0_535,c_0_161,c_0_536,c_0_436,c_0_303,c_0_178,c_0_537,c_0_165,c_0_164,c_0_135,c_0_137,c_0_171,c_0_207,c_0_163,c_0_345,c_0_183,c_0_172,c_0_538,c_0_159,c_0_539,c_0_424,c_0_540,c_0_184,c_0_167,c_0_101]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN459-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/5.44  % Computer : n005.cluster.edu
% 0.17/5.44  % Model    : x86_64 x86_64
% 0.17/5.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44  % Memory   : 8046.5625MB
% 0.17/5.44  % OS       : Linux 6.8.0-71-generic
% 0.17/5.44  % CPULimit : 300
% 0.17/5.44  % WCLimit  : 300
% 0.17/5.44  % DateTime : Mon Sep 21 10:58:53 UTC 2026
% 0.17/5.44  % CPUTime  : 
% 0.17/5.44  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/5.49  Running first-order theorem proving
% 0.17/5.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.85/9.03  % Version: 3.5.1
% 23.85/9.03  % Preprocessing class: FSLSSLSMSSSNFFN.
% 23.85/9.03  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.85/9.03  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 23.85/9.03  % Starting new_bool_3 with 300s (1) cores
% 23.85/9.03  % Starting new_bool_1 with 300s (1) cores
% 23.85/9.03  % Starting sh5l with 300s (1) cores
% 23.85/9.03  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3296623 completed with status 0
% 23.85/9.03  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 23.85/9.03  % Preprocessing class: FSLSSLSMSSSNFFN.
% 23.85/9.03  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.85/9.03  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 23.85/9.03  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 23.85/9.03  % No SInE strategy applied
% 23.85/9.03  % Search class: FGHNF-FSMM00-SFFFFFNN
% 23.85/9.03  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 23.85/9.03  % Starting SubtermCWHack with 151s (1) cores
% 23.85/9.03  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 23.85/9.03  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 23.85/9.03  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 23.85/9.03  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 23.85/9.03  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 3296629 completed with status 0
% 23.85/9.03  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 23.85/9.03  % Preprocessing class: FSLSSLSMSSSNFFN.
% 23.85/9.03  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.85/9.03  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 23.85/9.03  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 23.85/9.03  % No SInE strategy applied
% 23.85/9.03  % Search class: FGHNF-FSMM00-SFFFFFNN
% 23.85/9.03  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 23.85/9.03  % Starting SubtermCWHack with 151s (1) cores
% 23.85/9.03  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 23.85/9.03  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 23.85/9.03  % Preprocessing time       : 0.003 s
% 23.85/9.03  % SatCheck found unsatisfiable ground set
% 23.85/9.03  
% 23.85/9.03  % Proof found!
% 23.85/9.03  % SZS status Unsatisfiable
% 23.85/9.03  % SZS output start CNFRefutation
% See solution above
% 23.85/9.03  % Parsed axioms                        : 163
% 23.85/9.03  % Removed by relevancy pruning/SinE    : 0
% 23.85/9.03  % Initial clauses                      : 163
% 23.85/9.03  % Removed in clause preprocessing      : 0
% 23.85/9.03  % Initial clauses in saturation        : 163
% 23.85/9.03  % Processed clauses                    : 7349
% 23.85/9.03  % ...of these trivial                  : 0
% 23.85/9.03  % ...subsumed                          : 2349
% 23.85/9.03  % ...remaining for further processing  : 5000
% 23.85/9.03  % Other redundant clauses eliminated   : 0
% 23.85/9.03  % Clauses deleted for lack of memory   : 0
% 23.85/9.03  % Backward-subsumed                    : 1037
% 23.85/9.03  % Backward-rewritten                   : 43
% 23.85/9.03  % Generated clauses                    : 76994
% 23.85/9.03  % ...of the previous two non-redundant : 73068
% 23.85/9.03  % ...aggressively subsumed             : 0
% 23.85/9.03  % Contextual simplify-reflections      : 524
% 23.85/9.03  % Paramodulations                      : 76902
% 23.85/9.03  % Factorizations                       : 0
% 23.85/9.03  % NegExts                              : 0
% 23.85/9.03  % Equation resolutions                 : 0
% 23.85/9.03  % Disequality decompositions           : 0
% 23.85/9.03  % Total rewrite steps                  : 76
% 23.85/9.03  % ...of those cached                   : 75
% 23.85/9.03  % Propositional unsat checks           : 1
% 23.85/9.03  %    Propositional check models        : 0
% 23.85/9.03  %    Propositional check unsatisfiable : 1
% 23.85/9.03  %    Propositional clauses             : 68934
% 23.85/9.03  %    Propositional clauses after purity: 68710
% 23.85/9.03  %    Propositional unsat core size     : 119
% 23.85/9.03  %    Propositional preprocessing time  : 0.000
% 23.85/9.03  %    Propositional encoding time       : 0.029
% 23.85/9.03  %    Propositional solver time         : 0.094
% 23.85/9.03  %    Success case prop preproc time    : 0.000
% 23.85/9.03  %    Success case prop encoding time   : 0.029
% 23.85/9.03  %    Success case prop solver time     : 0.094
% 23.85/9.03  % Current number of processed clauses  : 3885
% 23.85/9.03  %    Positive orientable unit clauses  : 1
% 23.85/9.03  %    Positive unorientable unit clauses: 0
% 23.85/9.03  %    Negative unit clauses             : 0
% 23.85/9.03  %    Non-unit-clauses                  : 3884
% 23.85/9.03  % Current number of unprocessed clauses: 65049
% 23.85/9.03  % ...number of literals in the above   : 448443
% 23.85/9.03  % Current number of archived formulas  : 0
% 23.85/9.03  % Current number of archived clauses   : 1080
% 23.85/9.03  % Clause-clause subsumption calls (NU) : 6907911
% 23.85/9.03  % Rec. Clause-clause subsumption calls : 236777
% 23.85/9.03  % Non-unit clause-clause subsumptions  : 3958
% 23.85/9.03  % Unit Clause-clause subsumption calls : 3
% 23.85/9.03  % Rewrite failures with RHS unbound    : 0
% 23.85/9.03  % BW rewrite match attempts            : 1
% 23.85/9.03  % BW rewrite match successes           : 1
% 23.85/9.03  % Condensation attempts                : 7349
% 23.85/9.03  % Condensation successes               : 0
% 23.85/9.03  % Termbank termtop insertions          : 734482
% 23.85/9.03  % Search garbage collected termcells   : 431
% 23.85/9.03  
% 23.85/9.03  % -------------------------------------------------
% 23.85/9.03  % User time                : 3.193 s
% 23.85/9.03  % System time              : 0.091 s
% 23.85/9.03  % Total time               : 3.284 s
% 23.85/9.03  % Maximum resident set size: 4016 pages
% 23.85/9.03  
% 23.85/9.03  % -------------------------------------------------
% 23.85/9.03  % User time                : 16.547 s
% 23.85/9.03  % System time              : 0.324 s
% 23.85/9.03  % Total time               : 16.871 s
% 23.85/9.03  % Maximum resident set size: 4608 pages
% 23.85/9.03  % E exiting
%------------------------------------------------------------------------------