TSTP Solution File: SYN485-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN485-1 : TPTP v8.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 07:45:53 EDT 2024

% Result   : Unsatisfiable 8.17s 1.50s
% Output   : CNFRefutation 8.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  136
% Syntax   : Number of formulae    :  527 (   2 unt;   0 def)
%            Number of atoms       : 2019 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2463 ( 971   ~;1454   |;   0   &)
%                                         (  38 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   64 (  63 usr;  60 prp; 0-1 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  257 (   0 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause29,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

cnf(clause14,negated_conjecture,
    ( ndr1_0
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

cnf(clause137,negated_conjecture,
    ( c0_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

cnf(clause1,negated_conjecture,
    ( hskp17
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause42,negated_conjecture,
    ( c3_1(a2077)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(clause40,negated_conjecture,
    ( c1_1(a2077)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

cnf(clause41,negated_conjecture,
    ( c2_1(a2077)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(clause86,negated_conjecture,
    ( c3_1(a2068)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(clause129,negated_conjecture,
    ( ~ c2_1(a2068)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

cnf(clause128,negated_conjecture,
    ( ~ c0_1(a2068)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

cnf(clause79,negated_conjecture,
    ( c3_1(a2076)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(clause78,negated_conjecture,
    ( c1_1(a2076)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(clause121,negated_conjecture,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(clause133,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp4
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

cnf(clause81,negated_conjecture,
    ( c3_1(a2074)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(clause80,negated_conjecture,
    ( c1_1(a2074)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(clause122,negated_conjecture,
    ( ~ c2_1(a2074)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(clause125,negated_conjecture,
    ( ~ c3_1(a2072)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(clause124,negated_conjecture,
    ( ~ c1_1(a2072)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(clause123,negated_conjecture,
    ( ~ c0_1(a2072)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(clause56,negated_conjecture,
    ( c3_1(a2149)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(clause55,negated_conjecture,
    ( c0_1(a2149)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(clause90,negated_conjecture,
    ( ~ c1_1(a2149)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

cnf(clause141,negated_conjecture,
    ( c2_1(X1)
    | hskp22
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

cnf(clause37,negated_conjecture,
    ( hskp29
    | hskp5
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(clause48,negated_conjecture,
    ( c3_1(a2073)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(clause46,negated_conjecture,
    ( c0_1(a2073)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

cnf(clause47,negated_conjecture,
    ( c1_1(a2073)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(clause62,negated_conjecture,
    ( c1_1(a2116)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(clause98,negated_conjecture,
    ( ~ c2_1(a2116)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(clause119,negated_conjecture,
    ( ~ c1_1(a2078)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(clause77,negated_conjecture,
    ( c0_1(a2078)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(clause120,negated_conjecture,
    ( ~ c2_1(a2078)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(clause154,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp4
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

cnf(clause87,negated_conjecture,
    ( ~ c0_1(a2172)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(clause52,negated_conjecture,
    ( c1_1(a2172)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(clause117,negated_conjecture,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(clause74,negated_conjecture,
    ( c2_1(a2082)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(clause91,negated_conjecture,
    ( ~ c0_1(a2140)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(clause57,negated_conjecture,
    ( c2_1(a2140)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(clause99,negated_conjecture,
    ( ~ c3_1(a2116)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(clause88,negated_conjecture,
    ( ~ c3_1(a2172)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

cnf(clause73,negated_conjecture,
    ( c1_1(a2082)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(clause146,negated_conjecture,
    ( c1_1(X1)
    | hskp11
    | hskp10
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

cnf(clause32,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

cnf(clause36,negated_conjecture,
    ( hskp6
    | hskp5
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(clause139,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp1
    | hskp8
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

cnf(clause70,negated_conjecture,
    ( c2_1(a2087)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(clause115,negated_conjecture,
    ( ~ c3_1(a2087)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(clause126,negated_conjecture,
    ( ~ c3_1(a2071)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(clause83,negated_conjecture,
    ( c2_1(a2071)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(clause134,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp17
    | hskp1
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

cnf(clause144,negated_conjecture,
    ( c0_1(X1)
    | hskp11
    | hskp0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

cnf(clause152,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

cnf(clause156,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp4
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

cnf(clause68,negated_conjecture,
    ( c1_1(a2095)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(clause111,negated_conjecture,
    ( ~ c2_1(a2095)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(clause110,negated_conjecture,
    ( ~ c0_1(a2095)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(clause113,negated_conjecture,
    ( ~ c3_1(a2093)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(clause112,negated_conjecture,
    ( ~ c1_1(a2093)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(clause100,negated_conjecture,
    ( ~ c1_1(a2110)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(clause63,negated_conjecture,
    ( c0_1(a2110)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(clause85,negated_conjecture,
    ( c3_1(a2070)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(clause58,negated_conjecture,
    ( c3_1(a2140)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(clause82,negated_conjecture,
    ( c0_1(a2071)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

cnf(clause54,negated_conjecture,
    ( c2_1(a2160)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

cnf(clause69,negated_conjecture,
    ( c0_1(a2093)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(clause39,negated_conjecture,
    ( hskp12
    | hskp25
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(clause64,negated_conjecture,
    ( c2_1(a2110)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(clause51,negated_conjecture,
    ( c3_1(a2069)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(clause50,negated_conjecture,
    ( c2_1(a2069)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(clause49,negated_conjecture,
    ( c0_1(a2069)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(clause84,negated_conjecture,
    ( c0_1(a2070)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(clause127,negated_conjecture,
    ( ~ c2_1(a2070)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(clause114,negated_conjecture,
    ( ~ c1_1(a2087)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(clause196,negated_conjecture,
    ( c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

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

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

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

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

cnf(clause188,negated_conjecture,
    ( c0_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

cnf(clause182,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

cnf(clause186,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

cnf(clause181,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

cnf(clause176,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | hskp10
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

cnf(clause185,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp12
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

cnf(clause159,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

cnf(clause165,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

cnf(clause172,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp3
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

cnf(clause174,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp8
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

cnf(clause167,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp11
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

cnf(clause173,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp17
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

cnf(clause155,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp8
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

cnf(clause157,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp11
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

cnf(clause89,negated_conjecture,
    ( ~ c3_1(a2160)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

cnf(clause53,negated_conjecture,
    ( c1_1(a2160)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

cnf(clause35,negated_conjecture,
    ( hskp23
    | hskp24
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(clause34,negated_conjecture,
    ( hskp17
    | hskp23
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(c_0_98,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    inference(fof_simplification,[status(thm)],[clause29]) ).

cnf(c_0_99,negated_conjecture,
    ( ndr1_0
    | ~ hskp17 ),
    inference(fof_simplification,[status(thm)],[clause14]) ).

cnf(c_0_100,negated_conjecture,
    ( c0_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause137]) ).

cnf(c_0_101,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    c_0_98 ).

cnf(c_0_102,negated_conjecture,
    ( hskp17
    | hskp2 ),
    clause1 ).

cnf(c_0_103,negated_conjecture,
    ( ndr1_0
    | ~ hskp17 ),
    c_0_99 ).

fof(c_0_104,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_105,negated_conjecture,
    ( c3_1(a2077)
    | ~ hskp29 ),
    inference(fof_simplification,[status(thm)],[clause42]) ).

cnf(c_0_106,negated_conjecture,
    ( c1_1(a2077)
    | ~ hskp29 ),
    inference(fof_simplification,[status(thm)],[clause40]) ).

cnf(c_0_107,negated_conjecture,
    ( c0_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_100 ).

cnf(c_0_108,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).

fof(c_0_109,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_110,negated_conjecture,
    ( c2_1(a2077)
    | ~ hskp29 ),
    inference(fof_simplification,[status(thm)],[clause41]) ).

fof(c_0_111,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( hskp4
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_112,negated_conjecture,
    ( c3_1(a2068)
    | ~ hskp0 ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ c2_1(a2068)
    | ~ hskp0 ),
    inference(fof_simplification,[status(thm)],[clause129]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ c0_1(a2068)
    | ~ hskp0 ),
    inference(fof_simplification,[status(thm)],[clause128]) ).

cnf(c_0_115,negated_conjecture,
    ( c3_1(a2076)
    | ~ hskp5 ),
    inference(fof_simplification,[status(thm)],[clause79]) ).

cnf(c_0_116,negated_conjecture,
    ( c1_1(a2076)
    | ~ hskp5 ),
    inference(fof_simplification,[status(thm)],[clause78]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    inference(fof_simplification,[status(thm)],[clause121]) ).

cnf(c_0_118,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp4
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause133]) ).

cnf(c_0_119,negated_conjecture,
    ( epred45_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_104]) ).

cnf(c_0_120,negated_conjecture,
    ( c3_1(a2077)
    | ~ hskp29 ),
    c_0_105 ).

cnf(c_0_121,negated_conjecture,
    ( c1_1(a2077)
    | ~ hskp29 ),
    c_0_106 ).

cnf(c_0_122,negated_conjecture,
    ( c0_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]) ).

cnf(c_0_123,negated_conjecture,
    ( epred34_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_109]) ).

cnf(c_0_124,negated_conjecture,
    ( c2_1(a2077)
    | ~ hskp29 ),
    c_0_110 ).

fof(c_0_125,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_126,negated_conjecture,
    ( c3_1(a2074)
    | ~ hskp4 ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_127,negated_conjecture,
    ( c1_1(a2074)
    | ~ hskp4 ),
    inference(fof_simplification,[status(thm)],[clause80]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ c2_1(a2074)
    | ~ hskp4 ),
    inference(fof_simplification,[status(thm)],[clause122]) ).

cnf(c_0_129,negated_conjecture,
    ( epred10_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp4
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_111]),c_0_108])]) ).

cnf(c_0_130,negated_conjecture,
    ( c3_1(a2068)
    | ~ hskp0 ),
    c_0_112 ).

cnf(c_0_131,negated_conjecture,
    ( ~ c2_1(a2068)
    | ~ hskp0 ),
    c_0_113 ).

cnf(c_0_132,negated_conjecture,
    ( ~ c0_1(a2068)
    | ~ hskp0 ),
    c_0_114 ).

cnf(c_0_133,negated_conjecture,
    ( c3_1(a2076)
    | ~ hskp5 ),
    c_0_115 ).

cnf(c_0_134,negated_conjecture,
    ( c1_1(a2076)
    | ~ hskp5 ),
    c_0_116 ).

cnf(c_0_135,negated_conjecture,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    c_0_117 ).

cnf(c_0_136,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp4
    | ~ ndr1_0 ),
    c_0_118 ).

cnf(c_0_137,negated_conjecture,
    ( epred45_0
    | ~ c0_1(a2077)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).

cnf(c_0_138,negated_conjecture,
    ( c0_1(a2077)
    | hskp0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_121]) ).

cnf(c_0_139,negated_conjecture,
    ( epred34_0
    | ~ c0_1(a2077)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_120]),c_0_124]) ).

cnf(c_0_140,negated_conjecture,
    ( epred30_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_125]) ).

cnf(c_0_141,negated_conjecture,
    ( c3_1(a2074)
    | ~ hskp4 ),
    c_0_126 ).

cnf(c_0_142,negated_conjecture,
    ( c1_1(a2074)
    | ~ hskp4 ),
    c_0_127 ).

cnf(c_0_143,negated_conjecture,
    ( ~ c2_1(a2074)
    | ~ hskp4 ),
    c_0_128 ).

cnf(c_0_144,negated_conjecture,
    ( epred10_0
    | hskp4
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]),c_0_132]) ).

cnf(c_0_145,negated_conjecture,
    ( hskp0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_133]),c_0_134]),c_0_135]) ).

cnf(c_0_146,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp5 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_108])]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ c3_1(a2072)
    | ~ hskp3 ),
    inference(fof_simplification,[status(thm)],[clause125]) ).

fof(c_0_148,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( hskp4
        | c1_1(X2)
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_149,negated_conjecture,
    ( ~ c1_1(a2072)
    | ~ hskp3 ),
    inference(fof_simplification,[status(thm)],[clause124]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ c0_1(a2072)
    | ~ hskp3 ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_151,negated_conjecture,
    ( epred45_0
    | hskp0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_152,negated_conjecture,
    ( epred34_0
    | hskp0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_139,c_0_138]) ).

cnf(c_0_153,negated_conjecture,
    ( c3_1(a2149)
    | ~ hskp23 ),
    inference(fof_simplification,[status(thm)],[clause56]) ).

cnf(c_0_154,negated_conjecture,
    ( c0_1(a2149)
    | ~ hskp23 ),
    inference(fof_simplification,[status(thm)],[clause55]) ).

fof(c_0_155,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_156,negated_conjecture,
    ( ~ c1_1(a2149)
    | ~ hskp23 ),
    inference(fof_simplification,[status(thm)],[clause90]) ).

cnf(c_0_157,negated_conjecture,
    ( c2_1(X1)
    | hskp22
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause141]) ).

cnf(c_0_158,negated_conjecture,
    ( epred30_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_143]) ).

cnf(c_0_159,negated_conjecture,
    ( epred10_0
    | hskp4
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_160,negated_conjecture,
    ( epred10_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_129,c_0_146]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ c3_1(a2072)
    | ~ hskp3 ),
    c_0_147 ).

cnf(c_0_162,negated_conjecture,
    ( epred3_0
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_148]),c_0_108])]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ c1_1(a2072)
    | ~ hskp3 ),
    c_0_149 ).

cnf(c_0_164,negated_conjecture,
    ( ~ c0_1(a2072)
    | ~ hskp3 ),
    c_0_150 ).

cnf(c_0_165,negated_conjecture,
    ( epred45_0
    | epred10_0
    | hskp4
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_144,c_0_151]) ).

cnf(c_0_166,negated_conjecture,
    ( hskp29
    | hskp5
    | hskp3 ),
    clause37 ).

cnf(c_0_167,negated_conjecture,
    ( epred34_0
    | epred10_0
    | hskp4
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_144,c_0_152]) ).

cnf(c_0_168,negated_conjecture,
    ( c3_1(a2073)
    | ~ hskp27 ),
    inference(fof_simplification,[status(thm)],[clause48]) ).

cnf(c_0_169,negated_conjecture,
    ( c0_1(a2073)
    | ~ hskp27 ),
    inference(fof_simplification,[status(thm)],[clause46]) ).

cnf(c_0_170,negated_conjecture,
    ( c1_1(a2073)
    | ~ hskp27 ),
    inference(fof_simplification,[status(thm)],[clause47]) ).

cnf(c_0_171,negated_conjecture,
    ( c3_1(a2149)
    | ~ hskp23 ),
    c_0_153 ).

cnf(c_0_172,negated_conjecture,
    ( c0_1(a2149)
    | ~ hskp23 ),
    c_0_154 ).

cnf(c_0_173,negated_conjecture,
    ( epred11_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_155]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ c1_1(a2149)
    | ~ hskp23 ),
    c_0_156 ).

fof(c_0_175,plain,
    ( ~ epred59_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_176,plain,
    ( ~ epred62_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c0_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_177,negated_conjecture,
    ( c2_1(X1)
    | hskp22
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    c_0_157 ).

cnf(c_0_178,negated_conjecture,
    ( c1_1(a2116)
    | ~ hskp18 ),
    inference(fof_simplification,[status(thm)],[clause62]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ c2_1(a2116)
    | ~ hskp18 ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

fof(c_0_180,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( hskp8
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_181,negated_conjecture,
    ( ~ c1_1(a2078)
    | ~ hskp6 ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

fof(c_0_182,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_183,negated_conjecture,
    ( c0_1(a2078)
    | ~ hskp6 ),
    inference(fof_simplification,[status(thm)],[clause77]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ c2_1(a2078)
    | ~ hskp6 ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

fof(c_0_185,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_186,negated_conjecture,
    ( epred30_0
    | epred10_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_187,negated_conjecture,
    ( epred30_0
    | epred10_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_158,c_0_160]) ).

cnf(c_0_188,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp4
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause154]) ).

cnf(c_0_189,negated_conjecture,
    ( epred3_0
    | hskp4
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]),c_0_164]) ).

cnf(c_0_190,negated_conjecture,
    ( epred45_0
    | epred10_0
    | hskp3
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_159]) ).

cnf(c_0_191,negated_conjecture,
    ( epred34_0
    | epred10_0
    | hskp3
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_166]),c_0_159]) ).

cnf(c_0_192,negated_conjecture,
    ( c3_1(a2073)
    | ~ hskp27 ),
    c_0_168 ).

cnf(c_0_193,negated_conjecture,
    ( c0_1(a2073)
    | ~ hskp27 ),
    c_0_169 ).

cnf(c_0_194,negated_conjecture,
    ( c1_1(a2073)
    | ~ hskp27 ),
    c_0_170 ).

cnf(c_0_195,negated_conjecture,
    ( epred34_0
    | ~ c2_1(a2149)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_171]),c_0_172]) ).

cnf(c_0_196,negated_conjecture,
    ( epred11_0
    | c2_1(a2149)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_171]),c_0_174]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ c0_1(a2172)
    | ~ hskp25 ),
    inference(fof_simplification,[status(thm)],[clause87]) ).

cnf(c_0_198,negated_conjecture,
    ( epred59_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_175]),c_0_108])]) ).

cnf(c_0_199,negated_conjecture,
    ( epred62_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_176]),c_0_108])]) ).

cnf(c_0_200,negated_conjecture,
    ( c1_1(a2172)
    | ~ hskp25 ),
    inference(fof_simplification,[status(thm)],[clause52]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    inference(fof_simplification,[status(thm)],[clause117]) ).

cnf(c_0_202,negated_conjecture,
    ( c2_1(a2082)
    | ~ hskp8 ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ c0_1(a2140)
    | ~ hskp22 ),
    inference(fof_simplification,[status(thm)],[clause91]) ).

cnf(c_0_204,negated_conjecture,
    ( c2_1(a2140)
    | ~ hskp22 ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_205,negated_conjecture,
    ( c2_1(X1)
    | hskp22
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_108])]) ).

cnf(c_0_206,negated_conjecture,
    ( c1_1(a2116)
    | ~ hskp18 ),
    c_0_178 ).

cnf(c_0_207,negated_conjecture,
    ( ~ c2_1(a2116)
    | ~ hskp18 ),
    c_0_179 ).

cnf(c_0_208,negated_conjecture,
    ( epred9_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp8
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_180]),c_0_108])]) ).

fof(c_0_209,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( hskp8
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_210,negated_conjecture,
    ( ~ c3_1(a2116)
    | ~ hskp18 ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ c1_1(a2078)
    | ~ hskp6 ),
    c_0_181 ).

cnf(c_0_212,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_182]) ).

cnf(c_0_213,negated_conjecture,
    ( c0_1(a2078)
    | ~ hskp6 ),
    c_0_183 ).

cnf(c_0_214,negated_conjecture,
    ( ~ c2_1(a2078)
    | ~ hskp6 ),
    c_0_184 ).

fof(c_0_215,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( hskp11
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_216,plain,
    ( ~ epred60_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c0_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_217,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( hskp17
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_218,negated_conjecture,
    ( ~ c3_1(a2172)
    | ~ hskp25 ),
    inference(fof_simplification,[status(thm)],[clause88]) ).

cnf(c_0_219,negated_conjecture,
    ( c1_1(a2082)
    | ~ hskp8 ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_220,negated_conjecture,
    ( c1_1(X1)
    | hskp11
    | hskp10
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause146]) ).

cnf(c_0_221,negated_conjecture,
    ( epred4_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_185]) ).

cnf(c_0_222,negated_conjecture,
    ( epred30_0
    | epred10_0
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_223,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp4
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    c_0_188 ).

cnf(c_0_224,negated_conjecture,
    ( epred45_0
    | epred10_0
    | epred3_0
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_225,negated_conjecture,
    ( epred34_0
    | epred10_0
    | epred3_0
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_189,c_0_191]) ).

cnf(c_0_226,negated_conjecture,
    ( epred30_0
    | ~ c1_1(a2068)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_130]),c_0_131]) ).

cnf(c_0_227,negated_conjecture,
    ( epred11_0
    | c1_1(a2068)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_130]),c_0_131]) ).

cnf(c_0_228,negated_conjecture,
    ( epred34_0
    | ~ c2_1(a2073)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_192]),c_0_193]) ).

cnf(c_0_229,negated_conjecture,
    ( epred30_0
    | c2_1(a2073)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_192]),c_0_194]) ).

cnf(c_0_230,negated_conjecture,
    ( epred34_0
    | epred11_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_231,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp5 ),
    clause32 ).

cnf(c_0_232,negated_conjecture,
    ( ~ c0_1(a2172)
    | ~ hskp25 ),
    c_0_197 ).

cnf(c_0_233,negated_conjecture,
    ( epred62_0
    | epred59_0
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_234,negated_conjecture,
    ( c1_1(a2172)
    | ~ hskp25 ),
    c_0_200 ).

cnf(c_0_235,negated_conjecture,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    c_0_201 ).

cnf(c_0_236,negated_conjecture,
    ( c2_1(a2082)
    | ~ hskp8 ),
    c_0_202 ).

cnf(c_0_237,negated_conjecture,
    ( ~ c0_1(a2140)
    | ~ hskp22 ),
    c_0_203 ).

cnf(c_0_238,negated_conjecture,
    ( c2_1(a2140)
    | ~ hskp22 ),
    c_0_204 ).

cnf(c_0_239,negated_conjecture,
    ( hskp22
    | ~ c0_1(a2116)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).

cnf(c_0_240,negated_conjecture,
    ( epred9_0
    | c0_1(a2116)
    | hskp8
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_206]),c_0_207]) ).

cnf(c_0_241,negated_conjecture,
    ( epred27_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp8
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_209]),c_0_108])]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ c3_1(a2116)
    | ~ hskp18 ),
    c_0_210 ).

cnf(c_0_243,negated_conjecture,
    ( epred8_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213]),c_0_214]) ).

cnf(c_0_244,negated_conjecture,
    ( hskp6
    | hskp5
    | hskp18 ),
    clause36 ).

cnf(c_0_245,negated_conjecture,
    ( epred23_0
    | c0_1(X1)
    | hskp11
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_215]),c_0_108])]) ).

cnf(c_0_246,negated_conjecture,
    ( epred60_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_216]) ).

cnf(c_0_247,negated_conjecture,
    ( epred12_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp17
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_217]),c_0_108])]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ c3_1(a2172)
    | ~ hskp25 ),
    c_0_218 ).

cnf(c_0_249,negated_conjecture,
    ( c1_1(a2082)
    | ~ hskp8 ),
    c_0_219 ).

cnf(c_0_250,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp1
    | hskp8
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause139]) ).

fof(c_0_251,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( hskp11
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_252,negated_conjecture,
    ( c2_1(a2087)
    | ~ hskp10 ),
    inference(fof_simplification,[status(thm)],[clause70]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ c3_1(a2087)
    | ~ hskp10 ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ c3_1(a2071)
    | ~ hskp2 ),
    inference(fof_simplification,[status(thm)],[clause126]) ).

cnf(c_0_255,negated_conjecture,
    ( c2_1(a2071)
    | ~ hskp2 ),
    inference(fof_simplification,[status(thm)],[clause83]) ).

cnf(c_0_256,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp17
    | hskp1
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause134]) ).

cnf(c_0_257,negated_conjecture,
    ( c1_1(X1)
    | hskp11
    | hskp10
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_220 ).

fof(c_0_258,plain,
    ( ~ epred64_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c3_1(X3)
        | ~ ndr1_0
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_259,negated_conjecture,
    ( c0_1(X1)
    | hskp11
    | hskp0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_260,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause152]) ).

fof(c_0_261,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_262,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_263,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp4
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause156]) ).

cnf(c_0_264,negated_conjecture,
    ( epred4_0
    | ~ c2_1(a2072)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_221]),c_0_163]) ).

cnf(c_0_265,negated_conjecture,
    ( epred30_0
    | epred10_0
    | c2_1(a2072)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_164,c_0_222]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_223,c_0_148]),c_0_185]) ).

cnf(c_0_267,negated_conjecture,
    ( epred45_0
    | epred30_0
    | epred10_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_158,c_0_224]) ).

cnf(c_0_268,negated_conjecture,
    ( epred34_0
    | epred30_0
    | epred10_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_158,c_0_225]) ).

cnf(c_0_269,negated_conjecture,
    ( epred30_0
    | epred11_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_270,negated_conjecture,
    ( epred34_0
    | epred30_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_271,negated_conjecture,
    ( epred34_0
    | epred11_0
    | hskp5
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_272,negated_conjecture,
    ( c1_1(a2095)
    | ~ hskp12 ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

cnf(c_0_273,negated_conjecture,
    ( ~ c2_1(a2095)
    | ~ hskp12 ),
    inference(fof_simplification,[status(thm)],[clause111]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ c0_1(a2095)
    | ~ hskp12 ),
    inference(fof_simplification,[status(thm)],[clause110]) ).

cnf(c_0_275,negated_conjecture,
    ( epred62_0
    | epred59_0
    | ~ c2_1(a2172)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_276,negated_conjecture,
    ( epred9_0
    | c2_1(a2172)
    | hskp8
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_234]),c_0_232]) ).

cnf(c_0_277,negated_conjecture,
    ( epred62_0
    | epred59_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_233]),c_0_236]) ).

cnf(c_0_278,negated_conjecture,
    ( epred62_0
    | epred59_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_233]),c_0_238]) ).

cnf(c_0_279,negated_conjecture,
    ( epred9_0
    | hskp8
    | hskp22
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

fof(c_0_280,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_281,plain,
    ( ~ epred53_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c2_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_282,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_283,negated_conjecture,
    ( ~ c3_1(a2093)
    | ~ hskp11 ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ c1_1(a2093)
    | ~ hskp11 ),
    inference(fof_simplification,[status(thm)],[clause112]) ).

fof(c_0_285,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_286,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_287,negated_conjecture,
    ( epred27_0
    | hskp8
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_206]),c_0_207]),c_0_242]) ).

cnf(c_0_288,negated_conjecture,
    ( epred8_0
    | hskp5
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_289,negated_conjecture,
    ( epred60_0
    | epred23_0
    | c0_1(X1)
    | hskp11
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_290,negated_conjecture,
    ( hskp22
    | ~ c0_1(a2074)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_142]),c_0_143]) ).

cnf(c_0_291,negated_conjecture,
    ( epred9_0
    | c0_1(a2074)
    | hskp8
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_142]),c_0_143]) ).

cnf(c_0_292,negated_conjecture,
    ( epred23_0
    | hskp11
    | ~ c2_1(a2172)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_234]),c_0_232]) ).

cnf(c_0_293,negated_conjecture,
    ( epred12_0
    | c2_1(a2172)
    | hskp17
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_234]),c_0_248]) ).

cnf(c_0_294,negated_conjecture,
    ( epred23_0
    | hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_249]),c_0_236]),c_0_235]) ).

cnf(c_0_295,negated_conjecture,
    ( ~ c1_1(a2110)
    | ~ hskp17 ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_296,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp1
    | hskp8
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    c_0_250 ).

cnf(c_0_297,negated_conjecture,
    ( epred7_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp11
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_251]),c_0_108])]) ).

cnf(c_0_298,negated_conjecture,
    ( c2_1(a2087)
    | ~ hskp10 ),
    c_0_252 ).

cnf(c_0_299,negated_conjecture,
    ( ~ c3_1(a2087)
    | ~ hskp10 ),
    c_0_253 ).

fof(c_0_300,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_301,negated_conjecture,
    ( ~ c3_1(a2071)
    | ~ hskp2 ),
    c_0_254 ).

cnf(c_0_302,negated_conjecture,
    ( c2_1(a2071)
    | ~ hskp2 ),
    c_0_255 ).

cnf(c_0_303,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp17
    | hskp1
    | ~ ndr1_0 ),
    c_0_256 ).

cnf(c_0_304,negated_conjecture,
    ( c1_1(X1)
    | hskp10
    | hskp11
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_108])]) ).

cnf(c_0_305,negated_conjecture,
    ( epred64_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_258]),c_0_108])]) ).

cnf(c_0_306,negated_conjecture,
    ( c0_1(a2110)
    | ~ hskp17 ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_307,negated_conjecture,
    ( c3_1(a2070)
    | ~ hskp1 ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_308,negated_conjecture,
    ( c0_1(X1)
    | hskp11
    | hskp0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_259 ).

cnf(c_0_309,negated_conjecture,
    ( c3_1(a2140)
    | ~ hskp22 ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_310,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_260 ).

fof(c_0_311,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( hskp26
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_312,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( hskp3
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_313,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( hskp4
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_314,negated_conjecture,
    ( c0_1(a2071)
    | ~ hskp2 ),
    inference(fof_simplification,[status(thm)],[clause82]) ).

fof(c_0_315,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( hskp8
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_316,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( hskp10
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_317,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( hskp12
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_318,negated_conjecture,
    ( c2_1(a2160)
    | ~ hskp24 ),
    inference(fof_simplification,[status(thm)],[clause54]) ).

fof(c_0_319,plain,
    ( ~ epred54_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c3_1(X3)
        | c0_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_320,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( hskp0
        | c1_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_321,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( hskp1
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_322,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( hskp3
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_323,negated_conjecture,
    ( c0_1(a2093)
    | ~ hskp11 ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

cnf(c_0_324,negated_conjecture,
    ( epred16_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_261]) ).

cnf(c_0_325,negated_conjecture,
    ( epred52_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_262]),c_0_108])]) ).

cnf(c_0_326,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp4
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    c_0_263 ).

cnf(c_0_327,negated_conjecture,
    ( epred30_0
    | epred10_0
    | epred4_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_328,negated_conjecture,
    ( epred45_0
    | epred30_0
    | epred10_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_266,c_0_267]) ).

cnf(c_0_329,negated_conjecture,
    ( epred34_0
    | epred30_0
    | epred10_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_266,c_0_268]) ).

cnf(c_0_330,negated_conjecture,
    ( epred30_0
    | epred11_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_269,c_0_145]) ).

cnf(c_0_331,negated_conjecture,
    ( epred34_0
    | epred30_0
    | epred11_0
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_332,negated_conjecture,
    ( c1_1(a2095)
    | ~ hskp12 ),
    c_0_272 ).

cnf(c_0_333,negated_conjecture,
    ( ~ c2_1(a2095)
    | ~ hskp12 ),
    c_0_273 ).

cnf(c_0_334,negated_conjecture,
    ( ~ c0_1(a2095)
    | ~ hskp12 ),
    c_0_274 ).

cnf(c_0_335,negated_conjecture,
    ( epred62_0
    | epred59_0
    | epred9_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).

cnf(c_0_336,negated_conjecture,
    ( hskp12
    | hskp25
    | hskp18 ),
    clause39 ).

cnf(c_0_337,negated_conjecture,
    ( epred62_0
    | epred59_0
    | epred9_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_277]) ).

cnf(c_0_338,negated_conjecture,
    ( epred26_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_280]) ).

fof(c_0_339,plain,
    ( ~ epred61_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_340,negated_conjecture,
    ( c2_1(a2110)
    | ~ hskp17 ),
    inference(fof_simplification,[status(thm)],[clause64]) ).

cnf(c_0_341,negated_conjecture,
    ( epred53_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_281]) ).

cnf(c_0_342,negated_conjecture,
    ( epred42_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_282]) ).

cnf(c_0_343,negated_conjecture,
    ( c3_1(a2069)
    | ~ hskp26 ),
    inference(fof_simplification,[status(thm)],[clause51]) ).

cnf(c_0_344,negated_conjecture,
    ( c2_1(a2069)
    | ~ hskp26 ),
    inference(fof_simplification,[status(thm)],[clause50]) ).

cnf(c_0_345,negated_conjecture,
    ( c0_1(a2069)
    | ~ hskp26 ),
    inference(fof_simplification,[status(thm)],[clause49]) ).

fof(c_0_346,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_347,negated_conjecture,
    ( c0_1(a2070)
    | ~ hskp1 ),
    inference(fof_simplification,[status(thm)],[clause84]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ c2_1(a2070)
    | ~ hskp1 ),
    inference(fof_simplification,[status(thm)],[clause127]) ).

fof(c_0_349,plain,
    ( ~ epred13_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_350,negated_conjecture,
    ( ~ c3_1(a2093)
    | ~ hskp11 ),
    c_0_283 ).

cnf(c_0_351,negated_conjecture,
    ( ~ c1_1(a2093)
    | ~ hskp11 ),
    c_0_284 ).

cnf(c_0_352,negated_conjecture,
    ( epred6_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_285]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ c1_1(a2087)
    | ~ hskp10 ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

cnf(c_0_354,negated_conjecture,
    ( epred18_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_286]) ).

cnf(c_0_355,negated_conjecture,
    ( c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X3) ),
    inference(fof_simplification,[status(thm)],[clause196]) ).

cnf(c_0_356,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    inference(fof_simplification,[status(thm)],[clause194]) ).

cnf(c_0_357,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    inference(fof_simplification,[status(thm)],[clause193]) ).

cnf(c_0_358,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause190]) ).

cnf(c_0_359,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | c0_1(X3)
    | c1_1(X3)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause187]) ).

cnf(c_0_360,negated_conjecture,
    ( c0_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause188]) ).

cnf(c_0_361,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause182]) ).

cnf(c_0_362,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause186]) ).

cnf(c_0_363,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause181]) ).

cnf(c_0_364,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | hskp10
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause176]) ).

cnf(c_0_365,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp12
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause185]) ).

cnf(c_0_366,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause159]) ).

cnf(c_0_367,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause165]) ).

cnf(c_0_368,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp3
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_369,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp8
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause174]) ).

cnf(c_0_370,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp11
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause167]) ).

cnf(c_0_371,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp17
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_372,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp8
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause155]) ).

cnf(c_0_373,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp11
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause157]) ).

cnf(c_0_374,negated_conjecture,
    ( epred27_0
    | epred8_0
    | hskp5
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_287,c_0_288]) ).

cnf(c_0_375,negated_conjecture,
    ( epred60_0
    | epred23_0
    | hskp11
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_238]),c_0_237]) ).

cnf(c_0_376,negated_conjecture,
    ( epred9_0
    | hskp8
    | hskp22
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_377,negated_conjecture,
    ( epred23_0
    | epred12_0
    | hskp11
    | hskp17
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_378,negated_conjecture,
    ( epred23_0
    | epred9_0
    | hskp11
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_276]),c_0_294]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ c1_1(a2110)
    | ~ hskp17 ),
    c_0_295 ).

cnf(c_0_380,negated_conjecture,
    ( epred34_0
    | epred4_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_123,c_0_221]) ).

cnf(c_0_381,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | hskp1
    | hskp8
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_108])]) ).

cnf(c_0_382,negated_conjecture,
    ( epred7_0
    | c0_1(a2087)
    | hskp11
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299]) ).

cnf(c_0_383,negated_conjecture,
    ( epred39_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_300]) ).

cnf(c_0_384,negated_conjecture,
    ( epred4_0
    | c1_1(a2071)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_221]),c_0_302]) ).

cnf(c_0_385,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp1
    | hskp17 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_108])]) ).

cnf(c_0_386,negated_conjecture,
    ( epred64_0
    | c1_1(X1)
    | hskp10
    | hskp11
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_304,c_0_305]) ).

cnf(c_0_387,negated_conjecture,
    ( c0_1(a2110)
    | ~ hskp17 ),
    c_0_306 ).

cnf(c_0_388,negated_conjecture,
    ( c3_1(a2070)
    | ~ hskp1 ),
    c_0_307 ).

cnf(c_0_389,negated_conjecture,
    ( c0_1(X1)
    | hskp0
    | hskp11
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_108])]) ).

cnf(c_0_390,negated_conjecture,
    ( c3_1(a2140)
    | ~ hskp22 ),
    c_0_309 ).

cnf(c_0_391,negated_conjecture,
    ( hskp22
    | hskp17
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_108])]) ).

cnf(c_0_392,negated_conjecture,
    ( epred50_0
    | c0_1(X1)
    | hskp26
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_311]),c_0_108])]) ).

cnf(c_0_393,negated_conjecture,
    ( epred49_0
    | c2_1(X1)
    | hskp3
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_312]),c_0_108])]) ).

cnf(c_0_394,negated_conjecture,
    ( epred47_0
    | c3_1(X1)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_313]),c_0_108])]) ).

cnf(c_0_395,negated_conjecture,
    ( c0_1(a2071)
    | ~ hskp2 ),
    c_0_314 ).

cnf(c_0_396,negated_conjecture,
    ( epred41_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp8
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_315]),c_0_108])]) ).

cnf(c_0_397,negated_conjecture,
    ( epred40_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp10
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_316]),c_0_108])]) ).

cnf(c_0_398,negated_conjecture,
    ( epred37_0
    | c3_1(X1)
    | hskp12
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_317]),c_0_108])]) ).

cnf(c_0_399,negated_conjecture,
    ( c2_1(a2160)
    | ~ hskp24 ),
    c_0_318 ).

cnf(c_0_400,negated_conjecture,
    ( epred54_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_319]),c_0_108])]) ).

cnf(c_0_401,negated_conjecture,
    ( epred33_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_320]),c_0_108])]) ).

cnf(c_0_402,negated_conjecture,
    ( epred31_0
    | c0_1(X1)
    | hskp1
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_321]),c_0_108])]) ).

cnf(c_0_403,negated_conjecture,
    ( epred29_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp3
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_322]),c_0_108])]) ).

cnf(c_0_404,negated_conjecture,
    ( c0_1(a2093)
    | ~ hskp11 ),
    c_0_323 ).

cnf(c_0_405,negated_conjecture,
    ( epred16_0
    | ~ c0_1(a2074)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_142]),c_0_143]) ).

cnf(c_0_406,negated_conjecture,
    ( epred52_0
    | c0_1(a2074)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_142]),c_0_143]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ epred11_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_326,c_0_111]),c_0_155]) ).

cnf(c_0_408,negated_conjecture,
    ( epred45_0
    | epred30_0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_190]),c_0_158]),c_0_328]) ).

cnf(c_0_409,negated_conjecture,
    ( epred34_0
    | epred30_0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_191]),c_0_158]),c_0_329]) ).

cnf(c_0_410,negated_conjecture,
    ( epred34_0
    | epred30_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_411,negated_conjecture,
    ( epred23_0
    | hskp11
    | ~ c2_1(a2076)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_134]),c_0_135]) ).

cnf(c_0_412,negated_conjecture,
    ( epred9_0
    | c2_1(a2076)
    | hskp8
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_134]),c_0_135]) ).

cnf(c_0_413,negated_conjecture,
    ( epred9_0
    | hskp8
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_332]),c_0_333]),c_0_334]) ).

cnf(c_0_414,negated_conjecture,
    ( epred62_0
    | epred59_0
    | epred9_0
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337]) ).

cnf(c_0_415,negated_conjecture,
    ( epred45_0
    | epred30_0
    | epred11_0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_269,c_0_151]) ).

cnf(c_0_416,negated_conjecture,
    ( epred16_0
    | ~ c0_1(a2116)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_206]),c_0_207]) ).

cnf(c_0_417,negated_conjecture,
    ( epred26_0
    | ~ c0_1(a2074)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_141]),c_0_143]) ).

cnf(c_0_418,negated_conjecture,
    ( epred61_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_339]) ).

cnf(c_0_419,negated_conjecture,
    ( c2_1(a2110)
    | ~ hskp17 ),
    c_0_340 ).

cnf(c_0_420,negated_conjecture,
    ( epred53_0
    | c2_1(a2072)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_341]),c_0_164]) ).

cnf(c_0_421,negated_conjecture,
    ( epred42_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_120]),c_0_121]),c_0_124]) ).

cnf(c_0_422,negated_conjecture,
    ( c3_1(a2069)
    | ~ hskp26 ),
    c_0_343 ).

cnf(c_0_423,negated_conjecture,
    ( c2_1(a2069)
    | ~ hskp26 ),
    c_0_344 ).

cnf(c_0_424,negated_conjecture,
    ( c0_1(a2069)
    | ~ hskp26 ),
    c_0_345 ).

cnf(c_0_425,negated_conjecture,
    ( epred32_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_346]) ).

cnf(c_0_426,negated_conjecture,
    ( c0_1(a2070)
    | ~ hskp1 ),
    c_0_347 ).

cnf(c_0_427,negated_conjecture,
    ( ~ c2_1(a2070)
    | ~ hskp1 ),
    c_0_348 ).

cnf(c_0_428,negated_conjecture,
    ( epred13_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_349]) ).

cnf(c_0_429,negated_conjecture,
    ( epred4_0
    | ~ c2_1(a2093)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_221]),c_0_351]) ).

cnf(c_0_430,negated_conjecture,
    ( epred6_0
    | c2_1(a2093)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_352]),c_0_351]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ c1_1(a2087)
    | ~ hskp10 ),
    c_0_353 ).

cnf(c_0_432,negated_conjecture,
    ( epred18_0
    | epred4_0
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_354,c_0_221]) ).

cnf(c_0_433,negated_conjecture,
    ( c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X3) ),
    c_0_355 ).

cnf(c_0_434,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    c_0_356 ).

cnf(c_0_435,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    c_0_357 ).

cnf(c_0_436,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    c_0_358 ).

cnf(c_0_437,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | c0_1(X3)
    | c1_1(X3)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    c_0_359 ).

cnf(c_0_438,negated_conjecture,
    ( c0_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    c_0_360 ).

cnf(c_0_439,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    c_0_361 ).

cnf(c_0_440,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    c_0_362 ).

cnf(c_0_441,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    c_0_363 ).

cnf(c_0_442,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | hskp10
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    c_0_364 ).

cnf(c_0_443,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp12
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    c_0_365 ).

cnf(c_0_444,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_366 ).

cnf(c_0_445,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    c_0_367 ).

cnf(c_0_446,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp3
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    c_0_368 ).

cnf(c_0_447,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp8
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    c_0_369 ).

cnf(c_0_448,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp11
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    c_0_370 ).

cnf(c_0_449,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp17
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    c_0_371 ).

cnf(c_0_450,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp8
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    c_0_372 ).

cnf(c_0_451,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp11
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    c_0_373 ).

cnf(c_0_452,negated_conjecture,
    ( ~ c3_1(a2160)
    | ~ hskp24 ),
    inference(fof_simplification,[status(thm)],[clause89]) ).

cnf(c_0_453,negated_conjecture,
    ( c1_1(a2160)
    | ~ hskp24 ),
    inference(fof_simplification,[status(thm)],[clause53]) ).

cnf(c_0_454,negated_conjecture,
    ( epred23_0
    | hskp11
    | epred27_0
    | epred8_0
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_294,c_0_374]) ).

cnf(c_0_455,negated_conjecture,
    ( epred60_0
    | epred23_0
    | hskp11
    | epred9_0
    | hskp8
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_456,negated_conjecture,
    ( epred23_0
    | epred12_0
    | hskp11
    | hskp17
    | hskp12
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_377,c_0_336]) ).

cnf(c_0_457,negated_conjecture,
    ( epred23_0
    | epred9_0
    | hskp11
    | hskp12
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_378,c_0_336]) ).

cnf(c_0_458,negated_conjecture,
    ( epred34_0
    | epred4_0
    | ~ hskp17
    | ~ c0_1(a2110)
    | ~ c2_1(a2110) ),
    inference(spm,[status(thm)],[c_0_379,c_0_380]) ).

cnf(c_0_459,negated_conjecture,
    ( c3_1(a2087)
    | c1_1(a2087)
    | hskp1
    | hskp8
    | epred7_0
    | hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_460,negated_conjecture,
    ( epred39_0
    | epred4_0
    | ~ c0_1(a2071)
    | ~ c2_1(a2071)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_383,c_0_384]) ).

cnf(c_0_461,negated_conjecture,
    ( c2_1(a2093)
    | c1_1(a2093)
    | hskp1
    | hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_350,c_0_385]) ).

cnf(c_0_462,negated_conjecture,
    ( epred64_0
    | c1_1(a2110)
    | hskp10
    | hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_386,c_0_387]) ).

cnf(c_0_463,negated_conjecture,
    ( c1_1(a2149)
    | hskp10
    | hskp11
    | ~ c0_1(a2149)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_304,c_0_171]) ).

cnf(c_0_464,negated_conjecture,
    ( c1_1(a2070)
    | hskp10
    | hskp11
    | ~ c0_1(a2070)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_304,c_0_388]) ).

cnf(c_0_465,negated_conjecture,
    ( c0_1(a2140)
    | hskp0
    | hskp11
    | ~ c2_1(a2140)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_389,c_0_390]) ).

cnf(c_0_466,negated_conjecture,
    ( hskp22
    | hskp17
    | ~ c0_1(a2070)
    | ~ c1_1(a2070)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_391,c_0_388]) ).

cnf(c_0_467,negated_conjecture,
    ( epred64_0
    | c1_1(a2093)
    | ~ hskp11
    | ~ c0_1(a2093) ),
    inference(spm,[status(thm)],[c_0_350,c_0_305]) ).

cnf(c_0_468,negated_conjecture,
    ( epred62_0
    | c0_1(a2072)
    | ~ hskp3
    | ~ c2_1(a2072) ),
    inference(spm,[status(thm)],[c_0_161,c_0_199]) ).

cnf(c_0_469,negated_conjecture,
    ( epred50_0
    | c0_1(a2140)
    | hskp26
    | ~ c2_1(a2140)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_392,c_0_390]) ).

cnf(c_0_470,negated_conjecture,
    ( epred49_0
    | c2_1(a2070)
    | hskp3
    | ~ c0_1(a2070)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_393,c_0_388]) ).

cnf(c_0_471,negated_conjecture,
    ( epred47_0
    | c3_1(a2071)
    | hskp4
    | ~ c2_1(a2071)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_394,c_0_395]) ).

cnf(c_0_472,negated_conjecture,
    ( epred41_0
    | c2_1(a2149)
    | c1_1(a2149)
    | hskp8
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_396,c_0_171]) ).

cnf(c_0_473,negated_conjecture,
    ( epred40_0
    | c0_1(a2068)
    | c2_1(a2068)
    | hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_397,c_0_130]) ).

cnf(c_0_474,negated_conjecture,
    ( epred37_0
    | c3_1(a2160)
    | hskp12
    | ~ c1_1(a2160)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_398,c_0_399]) ).

cnf(c_0_475,negated_conjecture,
    ( epred37_0
    | c3_1(a2071)
    | hskp12
    | ~ c1_1(a2071)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_398,c_0_302]) ).

cnf(c_0_476,negated_conjecture,
    ( epred54_0
    | c0_1(a2072)
    | c2_1(a2072)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_161,c_0_400]) ).

cnf(c_0_477,negated_conjecture,
    ( epred33_0
    | c0_1(a2072)
    | c2_1(a2072)
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_163,c_0_401]) ).

cnf(c_0_478,negated_conjecture,
    ( epred31_0
    | c0_1(a2082)
    | hskp1
    | ~ c2_1(a2082)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_402,c_0_249]) ).

cnf(c_0_479,negated_conjecture,
    ( epred29_0
    | c3_1(a2093)
    | c1_1(a2093)
    | hskp3
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_403,c_0_404]) ).

cnf(c_0_480,negated_conjecture,
    ( epred52_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_332]),c_0_333]),c_0_334]) ).

cnf(c_0_481,negated_conjecture,
    ( epred52_0
    | epred16_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_405,c_0_406]) ).

cnf(c_0_482,negated_conjecture,
    ( epred45_0
    | epred30_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_407,c_0_408]) ).

cnf(c_0_483,negated_conjecture,
    ( epred34_0
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_409]),c_0_410]) ).

cnf(c_0_484,negated_conjecture,
    ( epred23_0
    | epred9_0
    | hskp11
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_294]) ).

cnf(c_0_485,negated_conjecture,
    ( epred62_0
    | epred59_0
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_277]) ).

cnf(c_0_486,negated_conjecture,
    ( epred30_0
    | epred10_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_222]),c_0_131]) ).

cnf(c_0_487,negated_conjecture,
    ( epred45_0
    | epred30_0
    | epred11_0
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_166]),c_0_330]) ).

cnf(c_0_488,negated_conjecture,
    ( epred16_0
    | epred9_0
    | hskp8
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_416,c_0_240]) ).

cnf(c_0_489,negated_conjecture,
    ( epred26_0
    | epred9_0
    | hskp8
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_417,c_0_291]) ).

cnf(c_0_490,negated_conjecture,
    ( epred61_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_418]),c_0_419]),c_0_387]) ).

cnf(c_0_491,negated_conjecture,
    ( epred60_0
    | ~ c2_1(a2072)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_246]),c_0_164]) ).

cnf(c_0_492,negated_conjecture,
    ( epred53_0
    | epred4_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_264,c_0_420]) ).

cnf(c_0_493,negated_conjecture,
    ( epred45_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_192]),c_0_194]),c_0_193]) ).

cnf(c_0_494,negated_conjecture,
    ( epred42_0
    | hskp3
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_421,c_0_166]) ).

cnf(c_0_495,negated_conjecture,
    ( epred34_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_422]),c_0_423]),c_0_424]) ).

cnf(c_0_496,negated_conjecture,
    ( epred32_0
    | ~ c2_1(a2072)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_425]),c_0_164]) ).

cnf(c_0_497,negated_conjecture,
    ( epred26_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_388]),c_0_426]),c_0_427]) ).

cnf(c_0_498,negated_conjecture,
    ( epred18_0
    | ~ c2_1(a2149)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_171]),c_0_174]) ).

cnf(c_0_499,negated_conjecture,
    ( epred13_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_171]),c_0_172]),c_0_174]) ).

cnf(c_0_500,negated_conjecture,
    ( epred6_0
    | epred4_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_429,c_0_430]) ).

cnf(c_0_501,negated_conjecture,
    ( epred4_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_221]),c_0_298]),c_0_431]) ).

cnf(c_0_502,negated_conjecture,
    ( epred18_0
    | epred4_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_432]),c_0_419]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ epred64_0
    | ~ epred45_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_433,c_0_258]),c_0_104]),c_0_109]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ epred62_0
    | ~ epred30_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_434,c_0_176]),c_0_125]),c_0_280]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ epred61_0
    | ~ epred60_0
    | ~ epred59_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_435,c_0_175]),c_0_216]),c_0_339]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ epred54_0
    | ~ epred30_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_436,c_0_319]),c_0_185]),c_0_125]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ epred53_0
    | ~ epred52_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_437,c_0_262]),c_0_281]),c_0_285]) ).

cnf(c_0_508,negated_conjecture,
    ( ~ epred50_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_438,c_0_311]),c_0_300]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ epred49_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_439,c_0_312]),c_0_286]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ epred47_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_440,c_0_313]),c_0_280]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ epred42_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_441,c_0_315]),c_0_282]) ).

cnf(c_0_512,negated_conjecture,
    ( ~ epred40_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_442,c_0_316]),c_0_109]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ epred37_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_443,c_0_317]),c_0_261]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_444,c_0_320]),c_0_109]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_445,c_0_321]),c_0_346]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ epred30_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_446,c_0_322]),c_0_125]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ epred27_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_447,c_0_209]),c_0_349]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ epred23_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_448,c_0_215]),c_0_185]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ epred13_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_449,c_0_217]),c_0_349]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ epred9_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_450,c_0_180]),c_0_185]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_451,c_0_251]),c_0_182]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ c3_1(a2160)
    | ~ hskp24 ),
    c_0_452 ).

cnf(c_0_523,negated_conjecture,
    ( c1_1(a2160)
    | ~ hskp24 ),
    c_0_453 ).

cnf(c_0_524,negated_conjecture,
    ( hskp23
    | hskp24
    | hskp5 ),
    clause35 ).

cnf(c_0_525,negated_conjecture,
    ( hskp17
    | hskp23
    | hskp1 ),
    clause34 ).

cnf(c_0_526,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_454,c_0_455,c_0_456,c_0_457,c_0_458,c_0_459,c_0_460,c_0_461,c_0_462,c_0_463,c_0_464,c_0_465,c_0_466,c_0_467,c_0_468,c_0_469,c_0_470,c_0_471,c_0_472,c_0_473,c_0_474,c_0_475,c_0_476,c_0_477,c_0_478,c_0_479,c_0_287,c_0_480,c_0_481,c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_294,c_0_487,c_0_145,c_0_488,c_0_489,c_0_413,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_158,c_0_269,c_0_497,c_0_498,c_0_189,c_0_499,c_0_500,c_0_429,c_0_501,c_0_384,c_0_264,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_407,c_0_520,c_0_521,c_0_266,c_0_132,c_0_131,c_0_427,c_0_164,c_0_235,c_0_299,c_0_431,c_0_350,c_0_351,c_0_237,c_0_174,c_0_522,c_0_301,c_0_379,c_0_426,c_0_395,c_0_404,c_0_387,c_0_172,c_0_302,c_0_236,c_0_419,c_0_238,c_0_523,c_0_524,c_0_231,c_0_525,c_0_102]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN485-1 : TPTP v8.2.0. Released v2.1.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 13:44:53 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.17/1.50  # Version: 3.1.0
% 8.17/1.50  # Preprocessing class: FSLSSLSMSSSNFFN.
% 8.17/1.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.17/1.50  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 8.17/1.50  # Starting new_bool_3 with 300s (1) cores
% 8.17/1.50  # Starting new_bool_1 with 300s (1) cores
% 8.17/1.50  # Starting sh5l with 300s (1) cores
% 8.17/1.50  # sh5l with pid 911 completed with status 0
% 8.17/1.50  # Result found by sh5l
% 8.17/1.50  # Preprocessing class: FSLSSLSMSSSNFFN.
% 8.17/1.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.17/1.50  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 8.17/1.50  # Starting new_bool_3 with 300s (1) cores
% 8.17/1.50  # Starting new_bool_1 with 300s (1) cores
% 8.17/1.50  # Starting sh5l with 300s (1) cores
% 8.17/1.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 8.17/1.50  # Search class: FGHNF-FSMM00-SFFFFFNN
% 8.17/1.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 8.17/1.50  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 8.17/1.50  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 921 completed with status 0
% 8.17/1.50  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 8.17/1.50  # Preprocessing class: FSLSSLSMSSSNFFN.
% 8.17/1.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.17/1.50  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 8.17/1.50  # Starting new_bool_3 with 300s (1) cores
% 8.17/1.50  # Starting new_bool_1 with 300s (1) cores
% 8.17/1.50  # Starting sh5l with 300s (1) cores
% 8.17/1.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 8.17/1.50  # Search class: FGHNF-FSMM00-SFFFFFNN
% 8.17/1.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 8.17/1.50  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 8.17/1.50  # Preprocessing time       : 0.002 s
% 8.17/1.50  # SatCheck found unsatisfiable ground set
% 8.17/1.50  
% 8.17/1.50  # Proof found!
% 8.17/1.50  # SZS status Unsatisfiable
% 8.17/1.50  # SZS output start CNFRefutation
% See solution above
% 8.17/1.50  # Parsed axioms                        : 196
% 8.17/1.50  # Removed by relevancy pruning/SinE    : 0
% 8.17/1.50  # Initial clauses                      : 196
% 8.17/1.50  # Removed in clause preprocessing      : 0
% 8.17/1.50  # Initial clauses in saturation        : 196
% 8.17/1.50  # Processed clauses                    : 7479
% 8.17/1.50  # ...of these trivial                  : 0
% 8.17/1.50  # ...subsumed                          : 2479
% 8.17/1.50  # ...remaining for further processing  : 5000
% 8.17/1.50  # Other redundant clauses eliminated   : 0
% 8.17/1.50  # Clauses deleted for lack of memory   : 0
% 8.17/1.50  # Backward-subsumed                    : 1853
% 8.17/1.50  # Backward-rewritten                   : 53
% 8.17/1.50  # Generated clauses                    : 47340
% 8.17/1.50  # ...of the previous two non-redundant : 45233
% 8.17/1.50  # ...aggressively subsumed             : 0
% 8.17/1.50  # Contextual simplify-reflections      : 594
% 8.17/1.50  # Paramodulations                      : 47232
% 8.17/1.50  # Factorizations                       : 0
% 8.17/1.50  # NegExts                              : 0
% 8.17/1.50  # Equation resolutions                 : 0
% 8.17/1.50  # Disequality decompositions           : 0
% 8.17/1.50  # Total rewrite steps                  : 96
% 8.17/1.50  # ...of those cached                   : 95
% 8.17/1.50  # Propositional unsat checks           : 1
% 8.17/1.50  #    Propositional check models        : 0
% 8.17/1.50  #    Propositional check unsatisfiable : 1
% 8.17/1.50  #    Propositional clauses             : 39690
% 8.17/1.50  #    Propositional clauses after purity: 39319
% 8.17/1.50  #    Propositional unsat core size     : 108
% 8.17/1.50  #    Propositional preprocessing time  : 0.000
% 8.17/1.50  #    Propositional encoding time       : 0.011
% 8.17/1.50  #    Propositional solver time         : 0.026
% 8.17/1.50  #    Success case prop preproc time    : 0.000
% 8.17/1.50  #    Success case prop encoding time   : 0.011
% 8.17/1.50  #    Success case prop solver time     : 0.026
% 8.17/1.50  # Current number of processed clauses  : 3050
% 8.17/1.50  #    Positive orientable unit clauses  : 1
% 8.17/1.50  #    Positive unorientable unit clauses: 0
% 8.17/1.50  #    Negative unit clauses             : 0
% 8.17/1.50  #    Non-unit-clauses                  : 3049
% 8.17/1.50  # Current number of unprocessed clauses: 36640
% 8.17/1.50  # ...number of literals in the above   : 243154
% 8.17/1.50  # Current number of archived formulas  : 0
% 8.17/1.50  # Current number of archived clauses   : 1906
% 8.17/1.50  # Clause-clause subsumption calls (NU) : 4366390
% 8.17/1.50  # Rec. Clause-clause subsumption calls : 510544
% 8.17/1.50  # Non-unit clause-clause subsumptions  : 4990
% 8.17/1.50  # Unit Clause-clause subsumption calls : 5
% 8.17/1.50  # Rewrite failures with RHS unbound    : 0
% 8.17/1.50  # BW rewrite match attempts            : 1
% 8.17/1.50  # BW rewrite match successes           : 1
% 8.17/1.50  # Condensation attempts                : 7479
% 8.17/1.50  # Condensation successes               : 0
% 8.17/1.50  # Termbank termtop insertions          : 436449
% 8.17/1.50  # Search garbage collected termcells   : 498
% 8.17/1.50  
% 8.17/1.50  # -------------------------------------------------
% 8.17/1.50  # User time                : 0.979 s
% 8.17/1.50  # System time              : 0.021 s
% 8.17/1.50  # Total time               : 1.000 s
% 8.17/1.50  # Maximum resident set size: 2244 pages
% 8.17/1.50  
% 8.17/1.50  # -------------------------------------------------
% 8.17/1.50  # User time                : 0.982 s
% 8.17/1.50  # System time              : 0.024 s
% 8.17/1.50  # Total time               : 1.006 s
% 8.17/1.50  # Maximum resident set size: 1892 pages
% 8.17/1.50  % E---3.1 exiting
% 8.17/1.50  % E exiting
%------------------------------------------------------------------------------