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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN443-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 03:24:27 PM UTC 2026

% Result   : Unsatisfiable 20.87s 3.63s
% Output   : CNFRefutation 20.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :  147
% Syntax   : Number of formulae    :  646 (   2 unt;   0 def)
%            Number of atoms       : 2383 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2831 (1094   ~;1701   |;   0   &)
%                                         (  36 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   67 (  66 usr;  63 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  258 (   0 sgn  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause21,negated_conjecture,
    ( ~ hskp11
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).

cnf(clause10,negated_conjecture,
    ( ~ hskp22
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

cnf(clause1,negated_conjecture,
    ( hskp22
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause58,negated_conjecture,
    ( ~ hskp24
    | c3_1(a58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(clause92,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

cnf(clause57,negated_conjecture,
    ( ~ hskp24
    | c0_1(a58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

cnf(clause93,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a52) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

cnf(clause59,negated_conjecture,
    ( ~ hskp23
    | c0_1(a52) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(clause94,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a52) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(clause99,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

cnf(clause100,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

cnf(clause86,negated_conjecture,
    ( ~ hskp1
    | c3_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

cnf(clause85,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

cnf(clause133,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

cnf(clause84,negated_conjecture,
    ( ~ hskp2
    | c2_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

cnf(clause83,negated_conjecture,
    ( ~ hskp2
    | c0_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

cnf(clause132,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

cnf(clause40,negated_conjecture,
    ( hskp23
    | hskp24
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

cnf(clause56,negated_conjecture,
    ( ~ hskp25
    | c3_1(a64) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

cnf(clause91,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a64) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

cnf(clause68,negated_conjecture,
    ( ~ hskp15
    | c0_1(a27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

cnf(clause108,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

cnf(clause55,negated_conjecture,
    ( ~ hskp25
    | c1_1(a64) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

cnf(clause127,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(clause77,negated_conjecture,
    ( ~ hskp6
    | c0_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(clause126,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(clause135,negated_conjecture,
    ( ~ ndr1_0
    | hskp4
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

cnf(clause152,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp23
    | hskp2
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

cnf(clause158,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp2
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

cnf(clause35,negated_conjecture,
    ( hskp25
    | hskp2
    | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

cnf(clause96,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

cnf(clause60,negated_conjecture,
    ( ~ hskp22
    | c2_1(a43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

cnf(clause95,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

cnf(clause117,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(clause71,negated_conjecture,
    ( ~ hskp11
    | c0_1(a19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

cnf(clause81,negated_conjecture,
    ( ~ hskp4
    | c3_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(clause80,negated_conjecture,
    ( ~ hskp4
    | c2_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(clause129,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

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

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

cnf(clause160,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

cnf(clause101,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

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

cnf(clause128,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(clause78,negated_conjecture,
    ( ~ hskp5
    | c0_1(a6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(clause79,negated_conjecture,
    ( ~ hskp5
    | c2_1(a6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(clause181,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

cnf(clause166,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp22
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(clause49,negated_conjecture,
    ( ~ hskp28
    | c1_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

cnf(clause48,negated_conjecture,
    ( ~ hskp28
    | c0_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

cnf(clause66,negated_conjecture,
    ( ~ hskp17
    | c3_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(clause104,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

cnf(clause105,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(clause122,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(clause121,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(clause73,negated_conjecture,
    ( ~ hskp9
    | c1_1(a12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(clause50,negated_conjecture,
    ( ~ hskp28
    | c3_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

cnf(clause69,negated_conjecture,
    ( ~ hskp15
    | c1_1(a27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(clause45,negated_conjecture,
    ( ~ hskp29
    | c0_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

cnf(clause47,negated_conjecture,
    ( ~ hskp29
    | c2_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

cnf(clause65,negated_conjecture,
    ( ~ hskp18
    | c3_1(a34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

cnf(clause103,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

cnf(clause102,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

cnf(clause76,negated_conjecture,
    ( ~ hskp7
    | c1_1(a9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(clause124,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(clause125,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(clause155,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | hskp18
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

cnf(clause110,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(clause109,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(clause111,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(clause142,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp27
    | hskp28
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

cnf(clause154,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | hskp22
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

cnf(clause159,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

cnf(clause42,negated_conjecture,
    ( ~ hskp30
    | c0_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

cnf(clause43,negated_conjecture,
    ( ~ hskp30
    | c2_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(clause34,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

cnf(clause33,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

cnf(clause149,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp4
    | hskp2
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

cnf(clause140,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp8
    | hskp27
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

cnf(clause156,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp25
    | hskp27
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

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

cnf(clause173,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | c0_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

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

cnf(clause51,negated_conjecture,
    ( ~ hskp27
    | c1_1(a10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

cnf(clause52,negated_conjecture,
    ( ~ hskp27
    | c2_1(a10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

cnf(clause53,negated_conjecture,
    ( ~ hskp27
    | c3_1(a10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

cnf(clause174,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp29
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

cnf(clause74,negated_conjecture,
    ( ~ hskp8
    | c1_1(a11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(clause123,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(clause44,negated_conjecture,
    ( ~ hskp30
    | c3_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

cnf(clause112,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(clause82,negated_conjecture,
    ( ~ hskp3
    | c3_1(a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

cnf(clause37,negated_conjecture,
    ( hskp18
    | hskp2
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

cnf(clause87,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(clause88,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(clause134,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

cnf(clause184,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

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

cnf(clause177,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp19
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

cnf(clause168,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

cnf(clause170,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp13
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

cnf(clause171,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

cnf(clause167,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp22
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(clause164,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp0
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(clause161,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(clause163,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

cnf(clause131,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

cnf(clause130,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(clause113,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(clause75,negated_conjecture,
    ( ~ hskp8
    | c2_1(a11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(clause38,negated_conjecture,
    ( hskp7
    | hskp27
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

cnf(c_0_111,negated_conjecture,
    ( ~ hskp11
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause21]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ hskp22
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause10]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ hskp11
    | ndr1_0 ),
    c_0_111 ).

cnf(c_0_114,negated_conjecture,
    ( hskp22
    | hskp11 ),
    clause1 ).

cnf(c_0_115,negated_conjecture,
    ( ~ hskp22
    | ndr1_0 ),
    c_0_112 ).

fof(c_0_116,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | hskp19 ) ),
    introduced(definition) ).

cnf(c_0_117,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ hskp24
    | c3_1(a58) ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    inference(fof_simplification,[status(thm)],[clause92]) ).

fof(c_0_120,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_121,negated_conjecture,
    ( ~ hskp24
    | c0_1(a58) ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a52) ),
    inference(fof_simplification,[status(thm)],[clause93]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ hskp23
    | c0_1(a52) ),
    inference(fof_simplification,[status(thm)],[clause59]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a52) ),
    inference(fof_simplification,[status(thm)],[clause94]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a36) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

fof(c_0_127,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c1_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | hskp2 ) ),
    introduced(definition) ).

cnf(c_0_128,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp19
    | c1_1(X1)
    | epred37_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_116]),c_0_117])]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp24
    | c3_1(a58) ),
    c_0_118 ).

cnf(c_0_130,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    c_0_119 ).

cnf(c_0_131,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred40_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_120]),c_0_117])]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ hskp24
    | c0_1(a58) ),
    c_0_121 ).

cnf(c_0_133,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a52) ),
    c_0_122 ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp23
    | c0_1(a52) ),
    c_0_123 ).

cnf(c_0_135,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a52) ),
    c_0_124 ).

fof(c_0_136,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_137,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_138,negated_conjecture,
    ( ~ hskp1
    | c3_1(a2) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_139,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(fof_simplification,[status(thm)],[clause133]) ).

fof(c_0_141,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | hskp1 ) ),
    introduced(definition) ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp2
    | c2_1(a3) ),
    inference(fof_simplification,[status(thm)],[clause84]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ hskp2
    | c0_1(a3) ),
    inference(fof_simplification,[status(thm)],[clause83]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    c_0_125 ).

cnf(c_0_146,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a36) ),
    c_0_126 ).

cnf(c_0_147,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_127]),c_0_117])]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a58)
    | hskp19
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp24
    | c2_1(a58)
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp23
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_131]),c_0_134]),c_0_135]) ).

cnf(c_0_151,negated_conjecture,
    ( hskp23
    | hskp24
    | hskp2 ),
    clause40 ).

cnf(c_0_152,negated_conjecture,
    ( ~ hskp25
    | c3_1(a64) ),
    inference(fof_simplification,[status(thm)],[clause56]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a64) ),
    inference(fof_simplification,[status(thm)],[clause91]) ).

fof(c_0_154,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c0_1(X1)
        | hskp6 ) ),
    introduced(definition) ).

cnf(c_0_155,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred13_0 ),
    inference(split_equiv,[status(thm)],[c_0_136]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_137]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp15
    | c0_1(a27) ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a27) ),
    inference(fof_simplification,[status(thm)],[clause108]) ).

fof(c_0_159,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp25
    | c1_1(a64) ),
    inference(fof_simplification,[status(thm)],[clause55]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp1
    | c3_1(a2) ),
    c_0_138 ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2) ),
    c_0_139 ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    c_0_140 ).

cnf(c_0_164,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp1
    | c1_1(X1)
    | epred16_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_141]),c_0_117])]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ hskp2
    | c2_1(a3) ),
    c_0_142 ).

cnf(c_0_166,negated_conjecture,
    ( ~ hskp2
    | c0_1(a3) ),
    c_0_143 ).

cnf(c_0_167,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    c_0_144 ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a36)
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_131]),c_0_146]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp19
    | hskp2
    | c0_1(a36)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_147]),c_0_146]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp24
    | hskp19
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_171,negated_conjecture,
    ( hskp24
    | hskp2
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp25
    | c3_1(a64) ),
    c_0_152 ).

cnf(c_0_173,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a64) ),
    c_0_153 ).

cnf(c_0_174,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp6
    | c0_1(X1)
    | c2_1(X1)
    | epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_154]),c_0_117])]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | epred6_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp15
    | c0_1(a27) ),
    c_0_157 ).

cnf(c_0_177,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a27) ),
    c_0_158 ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a8) ),
    inference(fof_simplification,[status(thm)],[clause127]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ hskp6
    | c0_1(a8) ),
    inference(fof_simplification,[status(thm)],[clause77]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    inference(fof_simplification,[status(thm)],[clause126]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred11_0 ),
    inference(split_equiv,[status(thm)],[c_0_159]) ).

cnf(c_0_182,negated_conjecture,
    ( ~ hskp25
    | c1_1(a64) ),
    c_0_160 ).

cnf(c_0_183,negated_conjecture,
    ( ~ ndr1_0
    | hskp4
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause135]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp23
    | hskp2
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause152]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp2
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause158]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp1
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_161]),c_0_162]),c_0_163]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp2
    | hskp1
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]),c_0_167]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ hskp19
    | hskp2
    | epred5_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_189,negated_conjecture,
    ( hskp19
    | hskp2
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a64)
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_172]),c_0_173]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp25
    | hskp6
    | c0_1(a64)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_172]),c_0_173]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp15
    | epred6_0
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]) ).

cnf(c_0_193,negated_conjecture,
    ( hskp25
    | hskp2
    | hskp15 ),
    clause35 ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a8) ),
    c_0_178 ).

cnf(c_0_195,negated_conjecture,
    ( ~ hskp6
    | c0_1(a8) ),
    c_0_179 ).

cnf(c_0_196,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    c_0_180 ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp25
    | c0_1(a64)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_173]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a43) ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

fof(c_0_199,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp22
    | c2_1(a43) ),
    inference(fof_simplification,[status(thm)],[clause60]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a43) ),
    inference(fof_simplification,[status(thm)],[clause95]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ ndr1_0
    | hskp4
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_183 ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(fof_simplification,[status(thm)],[clause117]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ hskp11
    | c0_1(a19) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

fof(c_0_205,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_206,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | c3_1(X1)
        | hskp17 ) ),
    introduced(definition) ).

cnf(c_0_207,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp23
    | hskp2
    | c1_1(X1) ),
    c_0_184 ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp4
    | c3_1(a5) ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp4
    | c2_1(a5) ),
    inference(fof_simplification,[status(thm)],[clause80]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a5) ),
    inference(fof_simplification,[status(thm)],[clause129]) ).

fof(c_0_211,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp22 ) ),
    introduced(definition) ).

cnf(c_0_212,negated_conjecture,
    ( ~ hskp11
    | c1_1(a19) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp2
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_185 ).

cnf(c_0_214,negated_conjecture,
    ( ~ hskp2
    | epred13_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_215,negated_conjecture,
    ( hskp2
    | epred5_0
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp25
    | hskp6
    | epred10_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_217,negated_conjecture,
    ( hskp25
    | hskp2
    | epred6_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ hskp6
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_156]),c_0_195]),c_0_196]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp25
    | epred11_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_190,c_0_197]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause179]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause160]) ).

fof(c_0_222,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a36) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

fof(c_0_224,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a43) ),
    c_0_198 ).

cnf(c_0_226,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred26_0 ),
    inference(split_equiv,[status(thm)],[c_0_199]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp22
    | c2_1(a43) ),
    c_0_200 ).

cnf(c_0_228,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a43) ),
    c_0_201 ).

cnf(c_0_229,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_117])]) ).

cnf(c_0_230,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    c_0_203 ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp11
    | c0_1(a19) ),
    c_0_204 ).

fof(c_0_232,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_233,negated_conjecture,
    ( ~ c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred21_0 ),
    inference(split_equiv,[status(thm)],[c_0_205]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp17
    | c3_1(X1)
    | c1_1(X1)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_117])]) ).

cnf(c_0_235,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp23
    | hskp2
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_117])]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp4
    | c3_1(a5) ),
    c_0_208 ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp4
    | c2_1(a5) ),
    c_0_209 ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a5) ),
    c_0_210 ).

cnf(c_0_239,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp22
    | c2_1(X1)
    | c3_1(X1)
    | epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_211]),c_0_117])]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp11
    | c1_1(a19) ),
    c_0_212 ).

cnf(c_0_241,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp6
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause162]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_213,c_0_127]),c_0_137]) ).

cnf(c_0_243,negated_conjecture,
    ( epred5_0
    | epred13_0
    | epred16_0
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_244,negated_conjecture,
    ( hskp2
    | epred6_0
    | epred10_0
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).

cnf(c_0_245,negated_conjecture,
    ( hskp2
    | epred6_0
    | epred11_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_219,c_0_217]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_220 ).

cnf(c_0_247,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    c_0_221 ).

cnf(c_0_248,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_222]),c_0_117])]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a36) ),
    c_0_223 ).

cnf(c_0_250,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred17_0 ),
    inference(split_equiv,[status(thm)],[c_0_224]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a43)
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp22
    | hskp4
    | c0_1(a43) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_225]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a19)
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_226]),c_0_231]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ hskp11
    | c2_1(a19)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_156]),c_0_231]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred43_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_232]),c_0_117])]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a52)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_233]),c_0_135]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp23
    | hskp17
    | c3_1(a52)
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_134]),c_0_133]) ).

fof(c_0_258,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a6) ),
    inference(fof_simplification,[status(thm)],[clause128]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ hskp5
    | c0_1(a6) ),
    inference(fof_simplification,[status(thm)],[clause78]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp5
    | c2_1(a6) ),
    inference(fof_simplification,[status(thm)],[clause79]) ).

fof(c_0_262,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | hskp5 ) ),
    introduced(definition) ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp4
    | hskp23
    | hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]),c_0_238]) ).

cnf(c_0_264,negated_conjecture,
    ( hskp22
    | c2_1(a19)
    | c3_1(a19)
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_114]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause181]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp6
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_241 ).

cnf(c_0_267,negated_conjecture,
    ( ~ epred6_0
    | epred13_0
    | epred16_0
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_268,negated_conjecture,
    ( epred6_0
    | epred10_0
    | epred13_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_244]) ).

cnf(c_0_269,negated_conjecture,
    ( epred6_0
    | epred11_0
    | epred13_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_245]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ epred6_0
    | ~ epred17_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_246,c_0_120]),c_0_224]),c_0_137]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ epred16_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_247,c_0_141]),c_0_224]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a43)
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_248]),c_0_225]) ).

cnf(c_0_273,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp22
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause166]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a36)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_156]),c_0_146]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ hskp19
    | c0_1(a36)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_250]),c_0_146]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ hskp4
    | hskp19
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_236]),c_0_237]),c_0_238]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ hskp22
    | hskp4
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp11
    | epred6_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

fof(c_0_279,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_280,plain,
    ( ~ epred46_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | ~ c2_1(X3)
        | ~ c0_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp28
    | c1_1(a15) ),
    inference(fof_simplification,[status(thm)],[clause49]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ hskp28
    | c0_1(a15) ),
    inference(fof_simplification,[status(thm)],[clause48]) ).

fof(c_0_283,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp17
    | c3_1(a32) ),
    inference(fof_simplification,[status(thm)],[clause66]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a32) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a32) ),
    inference(fof_simplification,[status(thm)],[clause105]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a58)
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_255]),c_0_132]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp24
    | c2_1(a58)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_233]),c_0_129]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp23
    | hskp17
    | epred3_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_290,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_258]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a12) ),
    inference(fof_simplification,[status(thm)],[clause122]) ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a12) ),
    inference(fof_simplification,[status(thm)],[clause121]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp9
    | c1_1(a12) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

fof(c_0_294,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_295,negated_conjecture,
    ( ~ hskp28
    | c3_1(a15) ),
    inference(fof_simplification,[status(thm)],[clause50]) ).

cnf(c_0_296,negated_conjecture,
    ( ~ hskp15
    | c1_1(a27) ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a6) ),
    c_0_259 ).

cnf(c_0_298,negated_conjecture,
    ( ~ hskp5
    | c0_1(a6) ),
    c_0_260 ).

cnf(c_0_299,negated_conjecture,
    ( ~ hskp5
    | c2_1(a6) ),
    c_0_261 ).

cnf(c_0_300,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp5
    | c1_1(X1)
    | epred35_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_262]),c_0_117])]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp4
    | hskp2
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_263]) ).

cnf(c_0_302,negated_conjecture,
    ( hskp22
    | c2_1(a19)
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_264]),c_0_114]) ).

fof(c_0_303,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_304,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_265 ).

cnf(c_0_305,negated_conjecture,
    ( ~ epred10_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_266,c_0_154]),c_0_159]) ).

cnf(c_0_306,negated_conjecture,
    ( epred10_0
    | epred13_0
    | epred16_0
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

cnf(c_0_307,negated_conjecture,
    ( epred11_0
    | epred13_0
    | epred16_0
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_267,c_0_269]) ).

cnf(c_0_308,negated_conjecture,
    ( ~ epred17_0
    | ~ epred40_0
    | epred10_0
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_268]),c_0_271]) ).

cnf(c_0_309,negated_conjecture,
    ( ~ epred17_0
    | ~ epred40_0
    | epred11_0
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_269]),c_0_271]) ).

cnf(c_0_310,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a36)
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_248]),c_0_249]) ).

cnf(c_0_311,negated_conjecture,
    ( ~ hskp22
    | hskp4
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_272,c_0_252]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp22
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_273 ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp19
    | epred6_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ hskp22
    | hskp19
    | epred26_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_315,negated_conjecture,
    ( hskp22
    | epred6_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_278,c_0_114]) ).

cnf(c_0_316,negated_conjecture,
    ( ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred42_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_279]),c_0_117])]) ).

cnf(c_0_317,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | epred46_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_280]),c_0_117])]) ).

cnf(c_0_318,negated_conjecture,
    ( ~ hskp28
    | c1_1(a15) ),
    c_0_281 ).

cnf(c_0_319,negated_conjecture,
    ( ~ hskp28
    | c0_1(a15) ),
    c_0_282 ).

cnf(c_0_320,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred44_0 ),
    inference(split_equiv,[status(thm)],[c_0_283]) ).

cnf(c_0_321,negated_conjecture,
    ( ~ hskp17
    | c3_1(a32) ),
    c_0_284 ).

cnf(c_0_322,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a32) ),
    c_0_285 ).

cnf(c_0_323,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a32) ),
    c_0_286 ).

cnf(c_0_324,negated_conjecture,
    ( ~ hskp24
    | epred21_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_287,c_0_288]) ).

cnf(c_0_325,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp2
    | epred3_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_289,c_0_151]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ hskp2
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_255]),c_0_166]),c_0_165]) ).

cnf(c_0_327,negated_conjecture,
    ( ~ hskp23
    | c3_1(a52)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_290]),c_0_135]) ).

cnf(c_0_328,negated_conjecture,
    ( ~ hskp29
    | c0_1(a25) ),
    inference(fof_simplification,[status(thm)],[clause45]) ).

cnf(c_0_329,negated_conjecture,
    ( ~ hskp29
    | c2_1(a25) ),
    inference(fof_simplification,[status(thm)],[clause47]) ).

fof(c_0_330,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c2_1(X2)
        | hskp29 ) ),
    introduced(definition) ).

cnf(c_0_331,negated_conjecture,
    ( ~ hskp18
    | c3_1(a34) ),
    inference(fof_simplification,[status(thm)],[clause65]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a34) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a34) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

fof(c_0_334,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_335,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a12) ),
    c_0_291 ).

cnf(c_0_336,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a12) ),
    c_0_292 ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp9
    | c1_1(a12) ),
    c_0_293 ).

cnf(c_0_338,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | epred45_0 ),
    inference(split_equiv,[status(thm)],[c_0_294]) ).

cnf(c_0_339,negated_conjecture,
    ( ~ hskp28
    | c3_1(a15) ),
    c_0_295 ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp7
    | c1_1(a9) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_341,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a9) ),
    inference(fof_simplification,[status(thm)],[clause124]) ).

cnf(c_0_342,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a9) ),
    inference(fof_simplification,[status(thm)],[clause125]) ).

cnf(c_0_343,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | hskp18
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause155]) ).

cnf(c_0_344,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a26) ),
    inference(fof_simplification,[status(thm)],[clause110]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a26) ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

cnf(c_0_346,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a26) ),
    inference(fof_simplification,[status(thm)],[clause111]) ).

fof(c_0_347,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp24 ) ),
    introduced(definition) ).

cnf(c_0_348,negated_conjecture,
    ( ~ hskp15
    | c1_1(a27) ),
    c_0_296 ).

cnf(c_0_349,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp27
    | hskp28
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause142]) ).

cnf(c_0_350,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | hskp22
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause154]) ).

cnf(c_0_351,negated_conjecture,
    ( ~ hskp5
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_226]),c_0_298]),c_0_299]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp2
    | hskp5
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_165]),c_0_166]),c_0_167]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ hskp22
    | hskp2
    | epred26_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_301,c_0_277]) ).

cnf(c_0_354,negated_conjecture,
    ( hskp22
    | epred7_0
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_302]),c_0_114]) ).

cnf(c_0_355,negated_conjecture,
    ( ~ epred13_0
    | ~ epred41_0
    | ~ epred42_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_304,c_0_279]),c_0_136]),c_0_303]) ).

cnf(c_0_356,negated_conjecture,
    ( epred13_0
    | epred16_0
    | epred37_0
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]) ).

cnf(c_0_357,negated_conjecture,
    ( ~ epred17_0
    | ~ epred40_0
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_308]),c_0_309]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ hskp19
    | epred17_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_310,c_0_275]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp22
    | hskp19
    | epred37_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_276,c_0_311]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ epred6_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_312,c_0_211]),c_0_137]) ).

cnf(c_0_361,negated_conjecture,
    ( epred6_0
    | epred17_0
    | epred26_0
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ hskp22
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_316]),c_0_227]),c_0_225]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ hskp28
    | ~ c2_1(a15)
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_319]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp28
    | c2_1(a15)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_318]),c_0_319]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause159]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ hskp17
    | hskp6
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_321]),c_0_322]),c_0_323]) ).

cnf(c_0_367,negated_conjecture,
    ( hskp17
    | epred3_0
    | epred21_0
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ hskp23
    | epred4_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_256,c_0_327]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | epred43_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_317,c_0_255]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp29
    | c0_1(a25) ),
    c_0_328 ).

cnf(c_0_371,negated_conjecture,
    ( ~ hskp29
    | c2_1(a25) ),
    c_0_329 ).

cnf(c_0_372,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp29
    | c2_1(X1)
    | c1_1(X1)
    | epred29_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_330]),c_0_117])]) ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp18
    | c3_1(a34) ),
    c_0_331 ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a34) ),
    c_0_332 ).

cnf(c_0_375,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a34) ),
    c_0_333 ).

cnf(c_0_376,negated_conjecture,
    ( ~ hskp30
    | c0_1(a33) ),
    inference(fof_simplification,[status(thm)],[clause42]) ).

cnf(c_0_377,negated_conjecture,
    ( ~ hskp30
    | c2_1(a33) ),
    inference(fof_simplification,[status(thm)],[clause43]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred36_0 ),
    inference(split_equiv,[status(thm)],[c_0_334]) ).

fof(c_0_379,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_380,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a12)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_156]),c_0_336]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ hskp9
    | c0_1(a12)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_337]),c_0_336]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ hskp28
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_318]),c_0_319]),c_0_339]) ).

cnf(c_0_383,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp28 ),
    clause34 ).

cnf(c_0_384,negated_conjecture,
    ( ~ hskp7
    | c1_1(a9) ),
    c_0_340 ).

cnf(c_0_385,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a9) ),
    c_0_341 ).

cnf(c_0_386,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a9) ),
    c_0_342 ).

fof(c_0_387,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_388,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp28 ),
    clause33 ).

fof(c_0_389,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_390,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | hskp18
    | c2_1(X1) ),
    c_0_343 ).

cnf(c_0_391,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a26) ),
    c_0_344 ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a26) ),
    c_0_345 ).

cnf(c_0_393,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a26) ),
    c_0_346 ).

cnf(c_0_394,negated_conjecture,
    ( ~ hskp24
    | c2_1(a58)
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_129]),c_0_132]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp24
    | c3_1(X1)
    | epred22_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_347]),c_0_117])]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a43)
    | hskp5
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_227]),c_0_228]) ).

fof(c_0_397,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c2_1(X2)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_398,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a27)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_348]),c_0_176]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ hskp15
    | hskp22
    | c3_1(a27)
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_348]),c_0_177]) ).

fof(c_0_400,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | c3_1(X1)
        | hskp9 ) ),
    introduced(definition) ).

cnf(c_0_401,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp4
    | hskp2
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause149]) ).

cnf(c_0_402,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | epred11_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_181,c_0_250]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp27
    | hskp28
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_349 ).

cnf(c_0_404,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp8
    | hskp27
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause140]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | hskp22
    | c2_1(X1) ),
    c_0_350 ).

cnf(c_0_406,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp25
    | hskp27
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause156]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c0_1(X3)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause182]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ hskp2
    | epred26_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_409,negated_conjecture,
    ( hskp2
    | epred6_0
    | epred26_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_353,c_0_315]) ).

cnf(c_0_410,negated_conjecture,
    ( hskp2
    | epred7_0
    | epred26_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | c0_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ epred41_0
    | ~ epred42_0
    | epred16_0
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ epred17_0
    | ~ epred40_0
    | ~ epred41_0
    | ~ epred42_0 ),
    inference(spm,[status(thm)],[c_0_355,c_0_357]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp22
    | epred17_0
    | epred37_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_415,negated_conjecture,
    ( ~ epred7_0
    | epred17_0
    | epred26_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_416,negated_conjecture,
    ( epred6_0
    | epred26_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_315]) ).

cnf(c_0_417,negated_conjecture,
    ( epred7_0
    | epred26_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_354]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause180]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a12)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_337]),c_0_336]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ hskp28
    | epred44_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_363,c_0_364]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ hskp27
    | c1_1(a10) ),
    inference(fof_simplification,[status(thm)],[clause51]) ).

cnf(c_0_422,negated_conjecture,
    ( ~ hskp27
    | c2_1(a10) ),
    inference(fof_simplification,[status(thm)],[clause52]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ hskp27
    | c3_1(a10) ),
    inference(fof_simplification,[status(thm)],[clause53]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp17
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_365 ).

cnf(c_0_425,negated_conjecture,
    ( hskp6
    | epred3_0
    | epred10_0
    | epred21_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_366,c_0_367]) ).

cnf(c_0_426,negated_conjecture,
    ( hskp24
    | hskp2
    | epred4_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_368,c_0_151]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp29
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause174]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ hskp29
    | epred43_0
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_371]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ hskp18
    | hskp29
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_374]),c_0_375]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ hskp30
    | c0_1(a33) ),
    c_0_376 ).

cnf(c_0_431,negated_conjecture,
    ( ~ hskp30
    | c2_1(a33) ),
    c_0_377 ).

fof(c_0_432,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2)
        | c0_1(X2)
        | hskp3 ) ),
    introduced(definition) ).

fof(c_0_433,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | hskp22 ) ),
    introduced(definition) ).

cnf(c_0_434,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a5)
    | hskp1
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_237]),c_0_238]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ hskp4
    | c0_1(a5)
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_236]),c_0_237]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a43)
    | hskp1
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_227]),c_0_228]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred9_0 ),
    inference(split_equiv,[status(thm)],[c_0_379]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ hskp9
    | epred6_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_439,negated_conjecture,
    ( hskp9
    | hskp7
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_382,c_0_383]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ hskp7
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_384]),c_0_385]),c_0_386]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred23_0 ),
    inference(split_equiv,[status(thm)],[c_0_387]) ).

cnf(c_0_442,negated_conjecture,
    ( hskp9
    | hskp1
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_382,c_0_388]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | epred30_0 ),
    inference(split_equiv,[status(thm)],[c_0_389]) ).

fof(c_0_444,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_445,negated_conjecture,
    ( ~ hskp8
    | c1_1(a11) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a11) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

fof(c_0_447,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_448,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp18
    | hskp14
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_117])]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ hskp14
    | hskp2
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_147]),c_0_392]),c_0_393]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ hskp24
    | hskp19
    | epred13_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_148,c_0_394]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ hskp5
    | hskp24
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_299]),c_0_298]),c_0_297]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ hskp22
    | hskp5
    | hskp4
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_396,c_0_252]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ hskp30
    | c3_1(a33) ),
    inference(fof_simplification,[status(thm)],[clause44]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp0
    | c2_1(X1)
    | c1_1(X1)
    | epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_397]),c_0_117])]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a64)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_182]),c_0_172]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ hskp15
    | hskp22
    | epred7_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_399]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp9
    | c3_1(X1)
    | c1_1(X1)
    | epred8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_400]),c_0_117])]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp4
    | hskp2
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_401 ).

cnf(c_0_459,negated_conjecture,
    ( ~ hskp17
    | epred11_0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_402]),c_0_323]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    inference(fof_simplification,[status(thm)],[clause112]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp28
    | hskp27
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_403,c_0_117])]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp8
    | hskp27
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_404 ).

cnf(c_0_463,negated_conjecture,
    ( ~ hskp3
    | c3_1(a4) ),
    inference(fof_simplification,[status(thm)],[clause82]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp22
    | hskp19
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_117])]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp25
    | hskp27
    | c3_1(X1) ),
    c_0_406 ).

cnf(c_0_466,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c0_1(X3)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_407 ).

cnf(c_0_467,negated_conjecture,
    ( epred6_0
    | epred26_0
    | epred35_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_408,c_0_409]) ).

cnf(c_0_468,negated_conjecture,
    ( epred7_0
    | epred26_0
    | epred35_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_408,c_0_410]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ hskp24
    | epred40_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_287,c_0_149]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | c0_1(X2)
    | c1_1(X1) ),
    c_0_411 ).

cnf(c_0_471,negated_conjecture,
    ( ~ epred17_0
    | ~ epred41_0
    | ~ epred42_0
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_412]),c_0_413]) ).

cnf(c_0_472,negated_conjecture,
    ( epred17_0
    | epred26_0
    | epred37_0
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_354]),c_0_415]) ).

cnf(c_0_473,negated_conjecture,
    ( epred26_0
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_416]),c_0_417]) ).

cnf(c_0_474,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_418 ).

cnf(c_0_475,negated_conjecture,
    ( ~ hskp9
    | epred11_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_419,c_0_381]) ).

cnf(c_0_476,negated_conjecture,
    ( hskp9
    | hskp7
    | epred44_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_420,c_0_383]) ).

cnf(c_0_477,negated_conjecture,
    ( ~ hskp27
    | c1_1(a10) ),
    c_0_421 ).

cnf(c_0_478,negated_conjecture,
    ( ~ hskp27
    | c2_1(a10) ),
    c_0_422 ).

cnf(c_0_479,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | c0_1(X1)
    | epred41_0 ),
    inference(split_equiv,[status(thm)],[c_0_303]) ).

cnf(c_0_480,negated_conjecture,
    ( ~ hskp27
    | c3_1(a10) ),
    c_0_423 ).

cnf(c_0_481,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_424,c_0_206]),c_0_258]) ).

cnf(c_0_482,negated_conjecture,
    ( epred3_0
    | epred6_0
    | epred10_0
    | epred21_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_218,c_0_425]) ).

cnf(c_0_483,negated_conjecture,
    ( epred4_0
    | epred21_0
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_426]),c_0_326]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp29
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_427 ).

cnf(c_0_485,negated_conjecture,
    ( ~ hskp18
    | epred29_0
    | epred43_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_428,c_0_429]) ).

cnf(c_0_486,negated_conjecture,
    ( hskp18
    | hskp2
    | hskp30 ),
    clause37 ).

cnf(c_0_487,negated_conjecture,
    ( ~ hskp30
    | epred43_0
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_430]),c_0_431]) ).

cnf(c_0_488,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_432]),c_0_117])]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp22
    | c1_1(X1)
    | epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_433]),c_0_117])]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ hskp19
    | hskp4
    | c0_1(a36) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_229]),c_0_249]) ).

fof(c_0_491,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | c3_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_492,negated_conjecture,
    ( ~ hskp4
    | hskp1
    | epred16_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_434,c_0_435]) ).

cnf(c_0_493,negated_conjecture,
    ( ~ hskp22
    | hskp4
    | hskp1
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_436,c_0_252]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ hskp25
    | c0_1(a64)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_172]),c_0_173]) ).

cnf(c_0_495,negated_conjecture,
    ( epred6_0
    | epred11_0
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_439]),c_0_440]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ hskp9
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_337]),c_0_336]),c_0_335]) ).

cnf(c_0_497,negated_conjecture,
    ( hskp9
    | epred13_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_442]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ hskp28
    | ~ c2_1(a15)
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_318]),c_0_339]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    inference(fof_simplification,[status(thm)],[clause87]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1) ),
    inference(fof_simplification,[status(thm)],[clause88]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    inference(fof_simplification,[status(thm)],[clause134]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c3_1(X1)
    | epred28_0 ),
    inference(split_equiv,[status(thm)],[c_0_444]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ hskp8
    | c1_1(a11) ),
    c_0_445 ).

cnf(c_0_504,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a11) ),
    c_0_446 ).

cnf(c_0_505,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred19_0 ),
    inference(split_equiv,[status(thm)],[c_0_447]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause184]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause183]) ).

cnf(c_0_508,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp19
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause177]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause168]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp13
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause170]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause171]) ).

cnf(c_0_512,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp22
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause167]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp0
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause164]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause161]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause163]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp18
    | hskp2
    | c0_1(X1)
    | c2_1(X1)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_147]),c_0_449]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ hskp5
    | hskp19
    | epred13_0
    | epred22_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ hskp22
    | hskp19
    | hskp5
    | epred35_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_276,c_0_452]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred30_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_443,c_0_255]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ hskp30
    | c3_1(a33) ),
    c_0_453 ).

cnf(c_0_521,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp0
    | c2_1(X1)
    | c1_1(X1)
    | epred6_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_454,c_0_156]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred40_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_338,c_0_131]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ hskp25
    | hskp6
    | epred10_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_455,c_0_191]) ).

cnf(c_0_524,negated_conjecture,
    ( hskp22
    | hskp25
    | hskp2
    | epred7_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_456,c_0_193]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ hskp6
    | hskp9
    | c1_1(a8)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_195]),c_0_194]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp4
    | hskp2
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_117])]) ).

cnf(c_0_527,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred3_0
    | epred11_0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_402]),c_0_459]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    c_0_460 ).

cnf(c_0_529,negated_conjecture,
    ( hskp28
    | hskp27
    | c0_1(X1)
    | c2_1(X1)
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_461,c_0_250]) ).

cnf(c_0_530,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp27
    | hskp8
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_462,c_0_117])]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ hskp3
    | c3_1(a4) ),
    c_0_463 ).

cnf(c_0_532,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp22
    | hskp19
    | c2_1(X1)
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_464,c_0_156]) ).

cnf(c_0_533,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp27
    | hskp25
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_465,c_0_117])]) ).

cnf(c_0_534,negated_conjecture,
    ( ~ epred26_0
    | ~ epred36_0
    | ~ epred43_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_466,c_0_232]),c_0_199]),c_0_334]) ).

cnf(c_0_535,negated_conjecture,
    ( epred26_0
    | epred35_0
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_467]),c_0_468]) ).

cnf(c_0_536,negated_conjecture,
    ( epred40_0
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_171]),c_0_326]) ).

cnf(c_0_537,negated_conjecture,
    ( ~ epred35_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_470,c_0_262]),c_0_334]) ).

cnf(c_0_538,negated_conjecture,
    ( ~ hskp25
    | hskp18
    | hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_182]),c_0_172]),c_0_173]) ).

cnf(c_0_539,negated_conjecture,
    ( ~ epred41_0
    | epred26_0
    | epred37_0
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_472]),c_0_473]) ).

cnf(c_0_540,negated_conjecture,
    ( ~ epred11_0
    | ~ epred38_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_474,c_0_222]),c_0_159]),c_0_303]) ).

cnf(c_0_541,negated_conjecture,
    ( epred11_0
    | epred44_0
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_476]),c_0_440]) ).

cnf(c_0_542,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a10)
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_477]),c_0_478]) ).

cnf(c_0_543,negated_conjecture,
    ( ~ hskp27
    | c0_1(a10)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_477]),c_0_478]) ).

cnf(c_0_544,negated_conjecture,
    ( ~ hskp27
    | c0_1(a10)
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_480]),c_0_478]) ).

cnf(c_0_545,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a19)
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_240]),c_0_231]) ).

cnf(c_0_546,negated_conjecture,
    ( epred6_0
    | epred10_0
    | epred21_0
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_483]) ).

cnf(c_0_547,negated_conjecture,
    ( ~ epred29_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_484,c_0_330]),c_0_389]) ).

cnf(c_0_548,negated_conjecture,
    ( epred29_0
    | epred43_0
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_486]),c_0_487]),c_0_326]) ).

cnf(c_0_549,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a43)
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_255]),c_0_227]) ).

cnf(c_0_550,negated_conjecture,
    ( ~ hskp22
    | hskp3
    | c0_1(a43)
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_488]),c_0_225]) ).

cnf(c_0_551,negated_conjecture,
    ( ~ hskp4
    | hskp22
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_236]),c_0_237]),c_0_238]) ).

cnf(c_0_552,negated_conjecture,
    ( ~ hskp19
    | hskp4
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_490]) ).

cnf(c_0_553,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp0
    | c3_1(X1)
    | c1_1(X1)
    | epred18_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_491]),c_0_117])]) ).

cnf(c_0_554,negated_conjecture,
    ( ~ hskp22
    | hskp1
    | epred16_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_555,negated_conjecture,
    ( ~ hskp9
    | hskp22
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_337]),c_0_336]),c_0_335]) ).

cnf(c_0_556,negated_conjecture,
    ( ~ hskp25
    | epred9_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_455,c_0_494]) ).

cnf(c_0_557,negated_conjecture,
    ( ~ hskp25
    | epred11_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_455,c_0_197]) ).

cnf(c_0_558,negated_conjecture,
    ( ~ epred7_0
    | epred11_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_360,c_0_495]) ).

cnf(c_0_559,negated_conjecture,
    ( epred13_0
    | epred23_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_496,c_0_497]) ).

cnf(c_0_560,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a10)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_477]),c_0_480]) ).

cnf(c_0_561,negated_conjecture,
    ( ~ hskp28
    | epred30_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_498,c_0_364]) ).

cnf(c_0_562,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    c_0_499 ).

cnf(c_0_563,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1) ),
    c_0_500 ).

cnf(c_0_564,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    c_0_501 ).

cnf(c_0_565,negated_conjecture,
    ( ~ hskp28
    | c2_1(a15)
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_339]),c_0_319]) ).

cnf(c_0_566,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a11)
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_503]),c_0_504]) ).

cnf(c_0_567,negated_conjecture,
    ( ~ hskp8
    | c0_1(a11)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_503]),c_0_504]) ).

fof(c_0_568,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | hskp13 ) ),
    introduced(definition) ).

cnf(c_0_569,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    c_0_506 ).

cnf(c_0_570,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c2_1(X2) ),
    c_0_507 ).

cnf(c_0_571,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp19
    | c1_1(X2) ),
    c_0_508 ).

cnf(c_0_572,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_509 ).

cnf(c_0_573,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp13
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_510 ).

cnf(c_0_574,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp24
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    c_0_511 ).

cnf(c_0_575,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp22
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    c_0_512 ).

cnf(c_0_576,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp0
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_513 ).

cnf(c_0_577,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_514 ).

cnf(c_0_578,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp9
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_515 ).

cnf(c_0_579,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a4) ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

cnf(c_0_580,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a4) ),
    inference(fof_simplification,[status(thm)],[clause130]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

cnf(c_0_582,negated_conjecture,
    ( ~ hskp8
    | c2_1(a11) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_583,negated_conjecture,
    ( ~ hskp17
    | hskp18
    | hskp2
    | c0_1(a32)
    | c2_1(a32)
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_516,c_0_321]) ).

cnf(c_0_584,negated_conjecture,
    ( ~ hskp22
    | epred35_0
    | hskp19
    | epred13_0
    | epred22_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_517,c_0_518]) ).

cnf(c_0_585,negated_conjecture,
    ( ~ hskp30
    | ~ c0_1(a33)
    | ~ c2_1(a33)
    | epred30_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_519,c_0_520]) ).

cnf(c_0_586,negated_conjecture,
    ( ~ hskp23
    | hskp0
    | c2_1(a52)
    | c1_1(a52)
    | epred6_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_521,c_0_134]) ).

cnf(c_0_587,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2)
    | c2_1(a2)
    | epred40_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_161]) ).

cnf(c_0_588,negated_conjecture,
    ( hskp22
    | hskp2
    | epred7_0
    | hskp6
    | epred10_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_523,c_0_524]) ).

cnf(c_0_589,negated_conjecture,
    ( ~ hskp6
    | hskp9
    | epred8_0
    | hskp22
    | c2_1(a8)
    | c3_1(a8)
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_239,c_0_525]) ).

cnf(c_0_590,negated_conjecture,
    ( ~ hskp19
    | hskp4
    | hskp2
    | c2_1(a36)
    | c3_1(a36) ),
    inference(spm,[status(thm)],[c_0_526,c_0_490]) ).

cnf(c_0_591,negated_conjecture,
    ( ~ hskp19
    | c2_1(a36)
    | c3_1(a36)
    | epred3_0
    | epred11_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_145,c_0_527]) ).

cnf(c_0_592,negated_conjecture,
    ( ~ c0_1(a52)
    | ~ hskp23
    | c2_1(a52)
    | epred6_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_256,c_0_156]) ).

cnf(c_0_593,negated_conjecture,
    ( ~ hskp13
    | hskp28
    | hskp27
    | c2_1(a22)
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_528,c_0_529]) ).

cnf(c_0_594,negated_conjecture,
    ( ~ hskp9
    | hskp28
    | hskp27
    | c0_1(a12)
    | c2_1(a12) ),
    inference(spm,[status(thm)],[c_0_461,c_0_337]) ).

cnf(c_0_595,negated_conjecture,
    ( ~ hskp7
    | hskp28
    | hskp27
    | c0_1(a9)
    | c2_1(a9) ),
    inference(spm,[status(thm)],[c_0_461,c_0_384]) ).

cnf(c_0_596,negated_conjecture,
    ( ~ hskp3
    | hskp27
    | hskp8
    | c0_1(a4)
    | c1_1(a4) ),
    inference(spm,[status(thm)],[c_0_530,c_0_531]) ).

cnf(c_0_597,negated_conjecture,
    ( ~ hskp15
    | hskp22
    | hskp19
    | c2_1(a27)
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_532,c_0_176]) ).

cnf(c_0_598,negated_conjecture,
    ( ~ hskp28
    | ~ c0_1(a15)
    | hskp22
    | hskp19
    | c2_1(a15) ),
    inference(spm,[status(thm)],[c_0_464,c_0_339]) ).

cnf(c_0_599,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a19)
    | hskp27
    | hskp25
    | c3_1(a19) ),
    inference(spm,[status(thm)],[c_0_533,c_0_240]) ).

cnf(c_0_600,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a11)
    | hskp27
    | hskp25
    | c3_1(a11) ),
    inference(spm,[status(thm)],[c_0_533,c_0_503]) ).

cnf(c_0_601,negated_conjecture,
    ( ~ epred36_0
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_536]),c_0_537]) ).

cnf(c_0_602,negated_conjecture,
    ( ~ hskp25
    | hskp18
    | hskp2
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_449,c_0_538]) ).

cnf(c_0_603,negated_conjecture,
    ( ~ epred36_0
    | ~ epred41_0
    | ~ epred43_0
    | epred37_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_534,c_0_539]) ).

cnf(c_0_604,negated_conjecture,
    ( ~ epred38_0
    | ~ epred41_0
    | epred44_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_540,c_0_541]) ).

cnf(c_0_605,negated_conjecture,
    ( ~ hskp27
    | epred41_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_606,negated_conjecture,
    ( ~ hskp27
    | epred36_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_542,c_0_544]) ).

cnf(c_0_607,negated_conjecture,
    ( hskp22
    | epred7_0
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_302]),c_0_114]) ).

cnf(c_0_608,negated_conjecture,
    ( ~ hskp11
    | epred6_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_545,c_0_254]) ).

cnf(c_0_609,negated_conjecture,
    ( ~ epred7_0
    | epred10_0
    | epred21_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_360,c_0_546]) ).

cnf(c_0_610,negated_conjecture,
    ( ~ epred30_0
    | epred43_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_547,c_0_548]) ).

cnf(c_0_611,negated_conjecture,
    ( ~ hskp18
    | hskp0
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_373]),c_0_374]),c_0_375]) ).

cnf(c_0_612,negated_conjecture,
    ( ~ hskp22
    | hskp3
    | epred12_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_549,c_0_550]) ).

cnf(c_0_613,negated_conjecture,
    ( ~ hskp22
    | hskp4
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_549,c_0_252]) ).

cnf(c_0_614,negated_conjecture,
    ( ~ hskp19
    | hskp22
    | epred6_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_551,c_0_552]) ).

cnf(c_0_615,negated_conjecture,
    ( ~ hskp22
    | hskp0
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_227]),c_0_225]),c_0_228]) ).

cnf(c_0_616,negated_conjecture,
    ( ~ hskp9
    | hskp1
    | epred7_0
    | epred16_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_554,c_0_555]) ).

cnf(c_0_617,negated_conjecture,
    ( hskp22
    | hskp2
    | epred7_0
    | epred9_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_556,c_0_524]) ).

cnf(c_0_618,negated_conjecture,
    ( hskp22
    | hskp2
    | epred11_0
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_524]),c_0_558]) ).

cnf(c_0_619,negated_conjecture,
    ( ~ epred41_0
    | ~ epred42_0
    | epred23_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_355,c_0_559]) ).

cnf(c_0_620,negated_conjecture,
    ( ~ hskp27
    | epred41_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_543]) ).

cnf(c_0_621,negated_conjecture,
    ( ~ hskp27
    | epred36_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_544]) ).

cnf(c_0_622,negated_conjecture,
    ( hskp9
    | hskp7
    | epred30_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_561,c_0_383]) ).

cnf(c_0_623,negated_conjecture,
    ( ~ hskp0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_562]),c_0_563]),c_0_564]) ).

cnf(c_0_624,negated_conjecture,
    ( ~ hskp28
    | epred13_0
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_498,c_0_565]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ hskp27
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_477]),c_0_478]),c_0_480]) ).

cnf(c_0_626,negated_conjecture,
    ( ~ hskp8
    | epred19_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_566,c_0_567]) ).

cnf(c_0_627,negated_conjecture,
    ( ~ hskp18
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_233]),c_0_373]),c_0_374]) ).

cnf(c_0_628,negated_conjecture,
    ( ~ hskp19
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_290]),c_0_146]),c_0_249]) ).

cnf(c_0_629,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp13
    | c1_1(X1)
    | epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_568]),c_0_117])]) ).

cnf(c_0_630,negated_conjecture,
    ( ~ epred30_0
    | ~ epred45_0
    | ~ epred46_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_569,c_0_280]),c_0_294]),c_0_389]) ).

cnf(c_0_631,negated_conjecture,
    ( ~ epred43_0
    | ~ epred44_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_570,c_0_232]),c_0_283]),c_0_294]) ).

cnf(c_0_632,negated_conjecture,
    ( ~ epred30_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_571,c_0_116]),c_0_389]) ).

cnf(c_0_633,negated_conjecture,
    ( ~ epred27_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_572,c_0_397]),c_0_444]) ).

cnf(c_0_634,negated_conjecture,
    ( ~ epred6_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_573,c_0_568]),c_0_137]) ).

cnf(c_0_635,negated_conjecture,
    ( ~ epred22_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_574,c_0_347]),c_0_387]) ).

cnf(c_0_636,negated_conjecture,
    ( ~ epred20_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_575,c_0_433]),c_0_205]) ).

cnf(c_0_637,negated_conjecture,
    ( ~ epred18_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_576,c_0_491]),c_0_447]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ epred12_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_577,c_0_432]),c_0_136]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ epred8_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_578,c_0_400]),c_0_379]) ).

cnf(c_0_640,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a4) ),
    c_0_579 ).

cnf(c_0_641,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a4) ),
    c_0_580 ).

cnf(c_0_642,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    c_0_581 ).

cnf(c_0_643,negated_conjecture,
    ( ~ hskp8
    | c2_1(a11) ),
    c_0_582 ).

cnf(c_0_644,negated_conjecture,
    ( hskp7
    | hskp27
    | hskp30 ),
    clause38 ).

cnf(c_0_645,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_263,c_0_602,c_0_603,c_0_471,c_0_414,c_0_604,c_0_476,c_0_420,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_326,c_0_362,c_0_614,c_0_551,c_0_615,c_0_616,c_0_523,c_0_617,c_0_618,c_0_354,c_0_555,c_0_619,c_0_558,c_0_439,c_0_382,c_0_620,c_0_621,c_0_622,c_0_561,c_0_419,c_0_623,c_0_624,c_0_498,c_0_625,c_0_626,c_0_315,c_0_289,c_0_627,c_0_254,c_0_380,c_0_218,c_0_628,c_0_629,c_0_338,c_0_630,c_0_631,c_0_534,c_0_355,c_0_540,c_0_270,c_0_632,c_0_537,c_0_633,c_0_634,c_0_635,c_0_636,c_0_637,c_0_271,c_0_638,c_0_305,c_0_639,c_0_360,c_0_242,c_0_481,c_0_163,c_0_640,c_0_641,c_0_194,c_0_196,c_0_386,c_0_385,c_0_504,c_0_336,c_0_642,c_0_177,c_0_323,c_0_322,c_0_249,c_0_146,c_0_133,c_0_135,c_0_230,c_0_520,c_0_643,c_0_431,c_0_162,c_0_134,c_0_319,c_0_430,c_0_193,c_0_383,c_0_644,c_0_114]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN443-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n016.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Mon Sep 21 11:01:22 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.47  Running first-order theorem proving
% 0.18/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.87/3.63  % Version: 3.5.1
% 20.87/3.63  % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.87/3.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.87/3.63  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.87/3.63  % Starting new_bool_3 with 300s (1) cores
% 20.87/3.63  % Starting new_bool_1 with 300s (1) cores
% 20.87/3.63  % Starting sh5l with 300s (1) cores
% 20.87/3.63  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2268394 completed with status 0
% 20.87/3.63  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 20.87/3.63  % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.87/3.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.87/3.63  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.87/3.63  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.87/3.63  % No SInE strategy applied
% 20.87/3.63  % Search class: FGHNF-FSMM00-SFFFFFNN
% 20.87/3.63  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 20.87/3.63  % Starting SubtermCWHack with 151s (1) cores
% 20.87/3.63  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 20.87/3.63  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 20.87/3.63  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 20.87/3.63  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 20.87/3.63  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2268400 completed with status 0
% 20.87/3.63  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 20.87/3.63  % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.87/3.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.87/3.63  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.87/3.63  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.87/3.63  % No SInE strategy applied
% 20.87/3.63  % Search class: FGHNF-FSMM00-SFFFFFNN
% 20.87/3.63  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 20.87/3.63  % Starting SubtermCWHack with 151s (1) cores
% 20.87/3.63  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 20.87/3.63  % Preprocessing time       : 0.003 s
% 20.87/3.63  % SatCheck found unsatisfiable ground set
% 20.87/3.63  
% 20.87/3.63  % Proof found!
% 20.87/3.63  % SZS status Unsatisfiable
% 20.87/3.63  % SZS output start CNFRefutation
% See solution above
% 20.87/3.64  % Parsed axioms                        : 184
% 20.87/3.64  % Removed by relevancy pruning/SinE    : 0
% 20.87/3.64  % Initial clauses                      : 184
% 20.87/3.64  % Removed in clause preprocessing      : 0
% 20.87/3.64  % Initial clauses in saturation        : 184
% 20.87/3.64  % Processed clauses                    : 7525
% 20.87/3.64  % ...of these trivial                  : 0
% 20.87/3.64  % ...subsumed                          : 2525
% 20.87/3.64  % ...remaining for further processing  : 5000
% 20.87/3.64  % Other redundant clauses eliminated   : 0
% 20.87/3.64  % Clauses deleted for lack of memory   : 0
% 20.87/3.64  % Backward-subsumed                    : 1459
% 20.87/3.64  % Backward-rewritten                   : 53
% 20.87/3.64  % Generated clauses                    : 62396
% 20.87/3.64  % ...of the previous two non-redundant : 58990
% 20.87/3.64  % ...aggressively subsumed             : 0
% 20.87/3.64  % Contextual simplify-reflections      : 759
% 20.87/3.64  % Paramodulations                      : 62322
% 20.87/3.64  % Factorizations                       : 0
% 20.87/3.64  % NegExts                              : 0
% 20.87/3.64  % Equation resolutions                 : 0
% 20.87/3.64  % Disequality decompositions           : 0
% 20.87/3.64  % Total rewrite steps                  : 79
% 20.87/3.64  % ...of those cached                   : 78
% 20.87/3.64  % Propositional unsat checks           : 1
% 20.87/3.64  %    Propositional check models        : 0
% 20.87/3.64  %    Propositional check unsatisfiable : 1
% 20.87/3.64  %    Propositional clauses             : 54164
% 20.87/3.64  %    Propositional clauses after purity: 52403
% 20.87/3.64  %    Propositional unsat core size     : 119
% 20.87/3.64  %    Propositional preprocessing time  : 0.000
% 20.87/3.64  %    Propositional encoding time       : 0.042
% 20.87/3.64  %    Propositional solver time         : 0.120
% 20.87/3.64  %    Success case prop preproc time    : 0.000
% 20.87/3.64  %    Success case prop encoding time   : 0.042
% 20.87/3.64  %    Success case prop solver time     : 0.120
% 20.87/3.64  % Current number of processed clauses  : 3460
% 20.87/3.64  %    Positive orientable unit clauses  : 1
% 20.87/3.64  %    Positive unorientable unit clauses: 0
% 20.87/3.64  %    Negative unit clauses             : 0
% 20.87/3.64  %    Non-unit-clauses                  : 3459
% 20.87/3.64  % Current number of unprocessed clauses: 50704
% 20.87/3.64  % ...number of literals in the above   : 361029
% 20.87/3.64  % Current number of archived formulas  : 0
% 20.87/3.64  % Current number of archived clauses   : 1512
% 20.87/3.64  % Clause-clause subsumption calls (NU) : 4693310
% 20.87/3.64  % Rec. Clause-clause subsumption calls : 277738
% 20.87/3.64  % Non-unit clause-clause subsumptions  : 4777
% 20.87/3.64  % Unit Clause-clause subsumption calls : 12
% 20.87/3.64  % Rewrite failures with RHS unbound    : 0
% 20.87/3.64  % BW rewrite match attempts            : 1
% 20.87/3.64  % BW rewrite match successes           : 1
% 20.87/3.64  % Condensation attempts                : 7525
% 20.87/3.64  % Condensation successes               : 0
% 20.87/3.64  % Termbank termtop insertions          : 617075
% 20.87/3.64  % Search garbage collected termcells   : 427
% 20.87/3.64  
% 20.87/3.64  % -------------------------------------------------
% 20.87/3.64  % User time                : 2.981 s
% 20.87/3.64  % System time              : 0.091 s
% 20.87/3.64  % Total time               : 3.072 s
% 20.87/3.64  % Maximum resident set size: 4032 pages
% 20.87/3.64  
% 20.87/3.64  % -------------------------------------------------
% 20.87/3.64  % User time                : 14.548 s
% 20.87/3.64  % System time              : 0.379 s
% 20.87/3.64  % Total time               : 14.927 s
% 20.87/3.64  % Maximum resident set size: 4864 pages
% 20.87/3.64  % E exiting
%------------------------------------------------------------------------------