TSTP Solution File: SYN470-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN470-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 : Sat May  4 10:08:39 EDT 2024

% Result   : Unsatisfiable 35.57s 5.04s
% Output   : CNFRefutation 35.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :  207
% Syntax   : Number of formulae    : 1125 (   2 unt;   0 def)
%            Number of atoms       : 4424 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 5157 (1858   ~;3247   |;   0   &)
%                                         (  52 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   90 (  89 usr;  86 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  405 (   0 sgn  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause11,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause11) ).

cnf(clause4,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause4) ).

cnf(clause12,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause12) ).

cnf(clause35,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause35) ).

cnf(clause156,negated_conjecture,
    ( hskp12
    | hskp8
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause156) ).

cnf(clause53,negated_conjecture,
    ( c3_1(a568)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause53) ).

cnf(clause52,negated_conjecture,
    ( c0_1(a568)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause52) ).

cnf(clause88,negated_conjecture,
    ( ~ c1_1(a568)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause88) ).

cnf(clause87,negated_conjecture,
    ( c3_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause87) ).

cnf(clause134,negated_conjecture,
    ( ~ c0_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause134) ).

cnf(clause69,negated_conjecture,
    ( c2_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause69) ).

cnf(clause110,negated_conjecture,
    ( ~ c1_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause110) ).

cnf(clause111,negated_conjecture,
    ( ~ c3_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause111) ).

cnf(clause147,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp20
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause147) ).

cnf(clause113,negated_conjecture,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause113) ).

cnf(clause72,negated_conjecture,
    ( c1_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause72) ).

cnf(clause73,negated_conjecture,
    ( c3_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause73) ).

cnf(clause68,negated_conjecture,
    ( c1_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause68) ).

cnf(clause67,negated_conjecture,
    ( c0_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause67) ).

cnf(clause96,negated_conjecture,
    ( ~ c2_1(a541)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause96) ).

cnf(clause56,negated_conjecture,
    ( c0_1(a541)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause56) ).

cnf(clause57,negated_conjecture,
    ( c1_1(a541)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause57) ).

cnf(clause109,negated_conjecture,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause109) ).

cnf(clause135,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause135) ).

cnf(clause116,negated_conjecture,
    ( ~ c2_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause116) ).

cnf(clause75,negated_conjecture,
    ( c0_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause75) ).

cnf(clause76,negated_conjecture,
    ( c3_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause76) ).

cnf(clause91,negated_conjecture,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause91) ).

cnf(clause89,negated_conjecture,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause89) ).

cnf(clause90,negated_conjecture,
    ( ~ c2_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause90) ).

cnf(clause115,negated_conjecture,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause115) ).

cnf(clause74,negated_conjecture,
    ( c0_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause74) ).

cnf(clause114,negated_conjecture,
    ( ~ c1_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause114) ).

cnf(clause112,negated_conjecture,
    ( ~ c3_1(a520)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause112) ).

cnf(clause71,negated_conjecture,
    ( c2_1(a520)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause71) ).

cnf(clause70,negated_conjecture,
    ( c0_1(a520)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause70) ).

cnf(clause55,negated_conjecture,
    ( c0_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause55) ).

cnf(clause94,negated_conjecture,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause94) ).

cnf(clause95,negated_conjecture,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause95) ).

cnf(clause77,negated_conjecture,
    ( c3_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause77) ).

cnf(clause117,negated_conjecture,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause117) ).

cnf(clause118,negated_conjecture,
    ( ~ c1_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause118) ).

cnf(clause37,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause37) ).

cnf(clause107,negated_conjecture,
    ( ~ c2_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause107) ).

cnf(clause106,negated_conjecture,
    ( ~ c1_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause106) ).

cnf(clause64,negated_conjecture,
    ( c3_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause64) ).

cnf(clause153,negated_conjecture,
    ( c2_1(X1)
    | hskp15
    | hskp10
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause153) ).

cnf(clause123,negated_conjecture,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause123) ).

cnf(clause80,negated_conjecture,
    ( c1_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause80) ).

cnf(clause81,negated_conjecture,
    ( c2_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause81) ).

cnf(clause158,negated_conjecture,
    ( hskp27
    | hskp19
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause158) ).

cnf(clause79,negated_conjecture,
    ( c3_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause79) ).

cnf(clause119,negated_conjecture,
    ( ~ c0_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause119) ).

cnf(clause78,negated_conjecture,
    ( c2_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause78) ).

cnf(clause33,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause33) ).

cnf(clause59,negated_conjecture,
    ( c3_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause59) ).

cnf(clause58,negated_conjecture,
    ( c1_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause58) ).

cnf(clause97,negated_conjecture,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause97) ).

cnf(clause154,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp26
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause154) ).

cnf(clause146,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp7
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause146) ).

cnf(clause152,negated_conjecture,
    ( c2_1(X1)
    | hskp5
    | hskp4
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause152) ).

cnf(clause38,negated_conjecture,
    ( hskp11
    | hskp17
    | hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause38) ).

cnf(clause36,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause36) ).

cnf(clause103,negated_conjecture,
    ( ~ c2_1(a534)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause103) ).

cnf(clause61,negated_conjecture,
    ( c1_1(a534)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause61) ).

cnf(clause104,negated_conjecture,
    ( ~ c3_1(a534)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause104) ).

cnf(clause51,negated_conjecture,
    ( c3_1(a500)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause51) ).

cnf(clause50,negated_conjecture,
    ( c2_1(a500)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause50) ).

cnf(clause49,negated_conjecture,
    ( c0_1(a500)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause49) ).

cnf(clause144,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp13
    | hskp30
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause144) ).

cnf(clause157,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause157) ).

cnf(clause60,negated_conjecture,
    ( c0_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause60) ).

cnf(clause98,negated_conjecture,
    ( ~ c1_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause98) ).

cnf(clause99,negated_conjecture,
    ( ~ c3_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause99) ).

cnf(clause126,negated_conjecture,
    ( ~ c2_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause126) ).

cnf(clause84,negated_conjecture,
    ( c1_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause84) ).

cnf(clause125,negated_conjecture,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause125) ).

cnf(clause164,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause164) ).

cnf(clause48,negated_conjecture,
    ( c3_1(a504)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause48) ).

cnf(clause47,negated_conjecture,
    ( c1_1(a504)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause47) ).

cnf(clause46,negated_conjecture,
    ( c0_1(a504)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause46) ).

cnf(clause139,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp29
    | hskp8
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause139) ).

cnf(clause160,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause160) ).

cnf(clause102,negated_conjecture,
    ( ~ c2_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause102) ).

cnf(clause100,negated_conjecture,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause100) ).

cnf(clause101,negated_conjecture,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause101) ).

cnf(clause142,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp12
    | hskp8
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause142) ).

cnf(clause177,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp23
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause177) ).

cnf(clause165,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause165) ).

cnf(clause130,negated_conjecture,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause130) ).

cnf(clause129,negated_conjecture,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause129) ).

cnf(clause131,negated_conjecture,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause131) ).

cnf(clause54,negated_conjecture,
    ( c2_1(a558)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause54) ).

cnf(clause92,negated_conjecture,
    ( ~ c0_1(a558)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause92) ).

cnf(clause93,negated_conjecture,
    ( ~ c3_1(a558)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause93) ).

cnf(clause85,negated_conjecture,
    ( c2_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause85) ).

cnf(clause127,negated_conjecture,
    ( ~ c0_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause127) ).

cnf(clause128,negated_conjecture,
    ( ~ c1_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause128) ).

cnf(clause45,negated_conjecture,
    ( c3_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause45) ).

cnf(clause43,negated_conjecture,
    ( c1_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause43) ).

cnf(clause44,negated_conjecture,
    ( c2_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause44) ).

cnf(clause83,negated_conjecture,
    ( c2_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause83) ).

cnf(clause82,negated_conjecture,
    ( c0_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause82) ).

cnf(clause124,negated_conjecture,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause124) ).

cnf(clause122,negated_conjecture,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause122) ).

cnf(clause120,negated_conjecture,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause120) ).

cnf(clause121,negated_conjecture,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause121) ).

cnf(clause184,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause184) ).

cnf(clause150,negated_conjecture,
    ( c0_1(X1)
    | hskp28
    | hskp16
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause150) ).

cnf(clause140,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp6
    | hskp9
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause140) ).

cnf(clause34,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause34) ).

cnf(clause192,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause192) ).

cnf(clause86,negated_conjecture,
    ( c1_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause86) ).

cnf(clause132,negated_conjecture,
    ( ~ c0_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause132) ).

cnf(clause133,negated_conjecture,
    ( ~ c3_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause133) ).

cnf(clause195,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause195) ).

cnf(clause159,negated_conjecture,
    ( hskp22
    | hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause159) ).

cnf(clause170,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp28
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause170) ).

cnf(clause63,negated_conjecture,
    ( c2_1(a533)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause63) ).

cnf(clause105,negated_conjecture,
    ( ~ c0_1(a533)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause105) ).

cnf(clause62,negated_conjecture,
    ( c1_1(a533)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause62) ).

cnf(clause137,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp18
    | hskp19
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause137) ).

cnf(clause136,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp10
    | hskp11
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause136) ).

cnf(clause169,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause169) ).

cnf(clause191,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause191) ).

cnf(clause168,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause168) ).

cnf(clause190,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause190) ).

cnf(clause66,negated_conjecture,
    ( c3_1(a530)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause66) ).

cnf(clause108,negated_conjecture,
    ( ~ c1_1(a530)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause108) ).

cnf(clause65,negated_conjecture,
    ( c2_1(a530)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause65) ).

cnf(clause42,negated_conjecture,
    ( c2_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause42) ).

cnf(clause40,negated_conjecture,
    ( c0_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause40) ).

cnf(clause41,negated_conjecture,
    ( c1_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause41) ).

cnf(clause196,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause196) ).

cnf(clause194,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause194) ).

cnf(clause193,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause193) ).

cnf(clause189,negated_conjecture,
    ( c3_1(X2)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause189) ).

cnf(clause188,negated_conjecture,
    ( c3_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause188) ).

cnf(clause187,negated_conjecture,
    ( c2_1(X2)
    | hskp31
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause187) ).

cnf(clause181,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause181) ).

cnf(clause178,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause178) ).

cnf(clause180,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | hskp15
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause180) ).

cnf(clause186,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp17
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause186) ).

cnf(clause183,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause183) ).

cnf(clause185,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp24
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause185) ).

cnf(clause182,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | hskp29
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause182) ).

cnf(clause166,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause166) ).

cnf(clause171,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause171) ).

cnf(clause172,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp10
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause172) ).

cnf(clause174,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause174) ).

cnf(clause176,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp21
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause176) ).

cnf(clause162,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause162) ).

cnf(clause163,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause163) ).

cnf(clause161,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause161) ).

cnf(clause39,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p',clause39) ).

cnf(c_0_155,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    inference(fof_simplification,[status(thm)],[clause11]) ).

cnf(c_0_156,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(fof_simplification,[status(thm)],[clause4]) ).

cnf(c_0_157,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    inference(fof_simplification,[status(thm)],[clause12]) ).

cnf(c_0_158,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    c_0_155 ).

cnf(c_0_159,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp20 ),
    clause35 ).

cnf(c_0_160,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    c_0_156 ).

cnf(c_0_161,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    c_0_157 ).

cnf(c_0_162,negated_conjecture,
    ( hskp12
    | hskp8
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause156]) ).

fof(c_0_163,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_164,negated_conjecture,
    ( c3_1(a568)
    | ~ hskp27 ),
    inference(fof_simplification,[status(thm)],[clause53]) ).

cnf(c_0_165,negated_conjecture,
    ( c0_1(a568)
    | ~ hskp27 ),
    inference(fof_simplification,[status(thm)],[clause52]) ).

fof(c_0_166,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( hskp9
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_167,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]),c_0_161]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ c1_1(a568)
    | ~ hskp27 ),
    inference(fof_simplification,[status(thm)],[clause88]) ).

fof(c_0_169,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_170,negated_conjecture,
    ( c3_1(a494)
    | ~ hskp0 ),
    inference(fof_simplification,[status(thm)],[clause87]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ c0_1(a494)
    | ~ hskp0 ),
    inference(fof_simplification,[status(thm)],[clause134]) ).

fof(c_0_172,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_173,negated_conjecture,
    ( hskp12
    | hskp8
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    c_0_162 ).

fof(c_0_174,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_175,negated_conjecture,
    ( epred47_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_163]) ).

cnf(c_0_176,negated_conjecture,
    ( c3_1(a568)
    | ~ hskp27 ),
    c_0_164 ).

cnf(c_0_177,negated_conjecture,
    ( c0_1(a568)
    | ~ hskp27 ),
    c_0_165 ).

cnf(c_0_178,negated_conjecture,
    ( epred9_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp9
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_166]),c_0_167])]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ c1_1(a568)
    | ~ hskp27 ),
    c_0_168 ).

cnf(c_0_180,negated_conjecture,
    ( epred22_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_169]) ).

cnf(c_0_181,negated_conjecture,
    ( c3_1(a494)
    | ~ hskp0 ),
    c_0_170 ).

cnf(c_0_182,negated_conjecture,
    ( ~ c0_1(a494)
    | ~ hskp0 ),
    c_0_171 ).

cnf(c_0_183,negated_conjecture,
    ( epred14_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_172]) ).

fof(c_0_184,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( hskp0
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_185,negated_conjecture,
    ( c2_1(a527)
    | ~ hskp14 ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ c1_1(a527)
    | ~ hskp14 ),
    inference(fof_simplification,[status(thm)],[clause110]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ c3_1(a527)
    | ~ hskp14 ),
    inference(fof_simplification,[status(thm)],[clause111]) ).

cnf(c_0_188,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp20
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause147]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

cnf(c_0_190,negated_conjecture,
    ( c1_1(a514)
    | ~ hskp12 ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_191,negated_conjecture,
    ( c3_1(a514)
    | ~ hskp12 ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_192,negated_conjecture,
    ( hskp8
    | hskp12
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_167])]) ).

cnf(c_0_193,negated_conjecture,
    ( epred12_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_174]) ).

cnf(c_0_194,negated_conjecture,
    ( c1_1(a528)
    | ~ hskp15 ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

cnf(c_0_195,negated_conjecture,
    ( c0_1(a528)
    | ~ hskp15 ),
    inference(fof_simplification,[status(thm)],[clause67]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ c2_1(a541)
    | ~ hskp23 ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

cnf(c_0_197,negated_conjecture,
    ( c0_1(a541)
    | ~ hskp23 ),
    inference(fof_simplification,[status(thm)],[clause56]) ).

cnf(c_0_198,negated_conjecture,
    ( c1_1(a541)
    | ~ hskp23 ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

fof(c_0_199,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( hskp23
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_200,negated_conjecture,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

fof(c_0_201,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_202,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    inference(fof_simplification,[status(thm)],[clause135]) ).

fof(c_0_203,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( hskp28
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_204,negated_conjecture,
    ( ~ c2_1(a509)
    | ~ hskp10 ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

cnf(c_0_205,negated_conjecture,
    ( c0_1(a509)
    | ~ hskp10 ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_206,negated_conjecture,
    ( c3_1(a509)
    | ~ hskp10 ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    inference(fof_simplification,[status(thm)],[clause91]) ).

fof(c_0_208,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_209,negated_conjecture,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    inference(fof_simplification,[status(thm)],[clause89]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ c2_1(a559)
    | ~ hskp26 ),
    inference(fof_simplification,[status(thm)],[clause90]) ).

cnf(c_0_211,negated_conjecture,
    ( epred47_0
    | ~ c2_1(a568)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]) ).

cnf(c_0_212,negated_conjecture,
    ( epred9_0
    | c2_1(a568)
    | hskp9
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_176]),c_0_179]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

fof(c_0_214,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_215,negated_conjecture,
    ( c0_1(a510)
    | ~ hskp11 ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ c1_1(a510)
    | ~ hskp11 ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

cnf(c_0_217,negated_conjecture,
    ( epred22_0
    | ~ c1_1(a494)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]) ).

cnf(c_0_218,negated_conjecture,
    ( epred14_0
    | c1_1(a494)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_181]),c_0_182]) ).

cnf(c_0_219,negated_conjecture,
    ( epred3_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp0
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_184]),c_0_167])]) ).

cnf(c_0_220,negated_conjecture,
    ( c2_1(a527)
    | ~ hskp14 ),
    c_0_185 ).

cnf(c_0_221,negated_conjecture,
    ( ~ c1_1(a527)
    | ~ hskp14 ),
    c_0_186 ).

cnf(c_0_222,negated_conjecture,
    ( ~ c3_1(a527)
    | ~ hskp14 ),
    c_0_187 ).

cnf(c_0_223,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp20
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    c_0_188 ).

cnf(c_0_224,negated_conjecture,
    ( ~ c3_1(a520)
    | ~ hskp13 ),
    inference(fof_simplification,[status(thm)],[clause112]) ).

fof(c_0_225,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_226,negated_conjecture,
    ( c2_1(a520)
    | ~ hskp13 ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_227,negated_conjecture,
    ( c0_1(a520)
    | ~ hskp13 ),
    inference(fof_simplification,[status(thm)],[clause70]) ).

fof(c_0_228,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_229,negated_conjecture,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    c_0_189 ).

cnf(c_0_230,negated_conjecture,
    ( c1_1(a514)
    | ~ hskp12 ),
    c_0_190 ).

cnf(c_0_231,negated_conjecture,
    ( c3_1(a514)
    | ~ hskp12 ),
    c_0_191 ).

cnf(c_0_232,negated_conjecture,
    ( epred12_0
    | hskp8
    | hskp12
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_233,negated_conjecture,
    ( c1_1(a528)
    | ~ hskp15 ),
    c_0_194 ).

cnf(c_0_234,negated_conjecture,
    ( c0_1(a528)
    | ~ hskp15 ),
    c_0_195 ).

fof(c_0_235,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( hskp22
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_236,negated_conjecture,
    ( c0_1(a554)
    | ~ hskp24 ),
    inference(fof_simplification,[status(thm)],[clause55]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    inference(fof_simplification,[status(thm)],[clause94]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    inference(fof_simplification,[status(thm)],[clause95]) ).

fof(c_0_239,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( hskp24
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_240,negated_conjecture,
    ( ~ c2_1(a541)
    | ~ hskp23 ),
    c_0_196 ).

cnf(c_0_241,negated_conjecture,
    ( c0_1(a541)
    | ~ hskp23 ),
    c_0_197 ).

cnf(c_0_242,negated_conjecture,
    ( c1_1(a541)
    | ~ hskp23 ),
    c_0_198 ).

cnf(c_0_243,negated_conjecture,
    ( epred15_0
    | c3_1(X1)
    | hskp23
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_167])]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    c_0_200 ).

cnf(c_0_245,negated_conjecture,
    ( epred39_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_201]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    c_0_202 ).

fof(c_0_247,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_248,negated_conjecture,
    ( epred13_0
    | c1_1(X1)
    | hskp28
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_203]),c_0_167])]) ).

cnf(c_0_249,negated_conjecture,
    ( c3_1(a507)
    | ~ hskp9 ),
    inference(fof_simplification,[status(thm)],[clause77]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    inference(fof_simplification,[status(thm)],[clause117]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ c1_1(a507)
    | ~ hskp9 ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ c2_1(a509)
    | ~ hskp10 ),
    c_0_204 ).

cnf(c_0_253,negated_conjecture,
    ( c0_1(a509)
    | ~ hskp10 ),
    c_0_205 ).

cnf(c_0_254,negated_conjecture,
    ( c3_1(a509)
    | ~ hskp10 ),
    c_0_206 ).

cnf(c_0_255,negated_conjecture,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    c_0_207 ).

cnf(c_0_256,negated_conjecture,
    ( epred50_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_208]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    c_0_209 ).

cnf(c_0_258,negated_conjecture,
    ( ~ c2_1(a559)
    | ~ hskp26 ),
    c_0_210 ).

cnf(c_0_259,negated_conjecture,
    ( epred47_0
    | epred9_0
    | hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_260,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp26 ),
    clause37 ).

cnf(c_0_261,negated_conjecture,
    ( ~ c2_1(a532)
    | ~ hskp17 ),
    inference(fof_simplification,[status(thm)],[clause107]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ c1_1(a532)
    | ~ hskp17 ),
    inference(fof_simplification,[status(thm)],[clause106]) ).

cnf(c_0_263,negated_conjecture,
    ( c3_1(a532)
    | ~ hskp17 ),
    inference(fof_simplification,[status(thm)],[clause64]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    c_0_213 ).

cnf(c_0_265,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_214]) ).

cnf(c_0_266,negated_conjecture,
    ( c0_1(a510)
    | ~ hskp11 ),
    c_0_215 ).

cnf(c_0_267,negated_conjecture,
    ( ~ c1_1(a510)
    | ~ hskp11 ),
    c_0_216 ).

cnf(c_0_268,negated_conjecture,
    ( c2_1(X1)
    | hskp15
    | hskp10
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause153]) ).

cnf(c_0_269,negated_conjecture,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_270,negated_conjecture,
    ( c1_1(a501)
    | ~ hskp6 ),
    inference(fof_simplification,[status(thm)],[clause80]) ).

cnf(c_0_271,negated_conjecture,
    ( c2_1(a501)
    | ~ hskp6 ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_272,negated_conjecture,
    ( epred22_0
    | epred14_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_273,negated_conjecture,
    ( epred3_0
    | hskp0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]),c_0_222]) ).

cnf(c_0_274,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | hskp12
    | hskp20
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_167])]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ c3_1(a520)
    | ~ hskp13 ),
    c_0_224 ).

cnf(c_0_276,negated_conjecture,
    ( epred49_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_225]),c_0_167])]) ).

cnf(c_0_277,negated_conjecture,
    ( c2_1(a520)
    | ~ hskp13 ),
    c_0_226 ).

cnf(c_0_278,negated_conjecture,
    ( hskp27
    | hskp19
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause158]) ).

fof(c_0_279,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_280,negated_conjecture,
    ( c3_1(a505)
    | ~ hskp8 ),
    inference(fof_simplification,[status(thm)],[clause79]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ c0_1(a505)
    | ~ hskp8 ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

fof(c_0_282,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_283,negated_conjecture,
    ( c2_1(a505)
    | ~ hskp8 ),
    inference(fof_simplification,[status(thm)],[clause78]) ).

cnf(c_0_284,negated_conjecture,
    ( c0_1(a520)
    | ~ hskp13 ),
    c_0_227 ).

cnf(c_0_285,negated_conjecture,
    ( epred6_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_228]) ).

cnf(c_0_286,negated_conjecture,
    ( epred12_0
    | ~ c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_193]),c_0_230]) ).

cnf(c_0_287,negated_conjecture,
    ( epred22_0
    | c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_231]),c_0_230]) ).

cnf(c_0_288,negated_conjecture,
    ( epred12_0
    | hskp8
    | hskp12
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]) ).

cnf(c_0_289,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp12 ),
    clause33 ).

cnf(c_0_290,negated_conjecture,
    ( c3_1(a540)
    | ~ hskp22 ),
    inference(fof_simplification,[status(thm)],[clause59]) ).

cnf(c_0_291,negated_conjecture,
    ( c1_1(a540)
    | ~ hskp22 ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_292,negated_conjecture,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

cnf(c_0_293,negated_conjecture,
    ( epred5_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp22
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_235]),c_0_167])]) ).

cnf(c_0_294,negated_conjecture,
    ( c0_1(a554)
    | ~ hskp24 ),
    c_0_236 ).

cnf(c_0_295,negated_conjecture,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    c_0_237 ).

cnf(c_0_296,negated_conjecture,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    c_0_238 ).

cnf(c_0_297,negated_conjecture,
    ( epred34_0
    | c3_1(X1)
    | hskp24
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_239]),c_0_167])]) ).

cnf(c_0_298,negated_conjecture,
    ( epred12_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_193]),c_0_241]),c_0_242]) ).

cnf(c_0_299,negated_conjecture,
    ( epred15_0
    | hskp23
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_233]),c_0_234]),c_0_244]) ).

cnf(c_0_300,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp26
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause154]) ).

cnf(c_0_301,negated_conjecture,
    ( epred39_0
    | ~ c1_1(a494)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_181]),c_0_246]) ).

cnf(c_0_302,negated_conjecture,
    ( epred52_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_247]),c_0_167])]) ).

cnf(c_0_303,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp7
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause146]) ).

cnf(c_0_304,negated_conjecture,
    ( c2_1(X1)
    | hskp5
    | hskp4
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause152]) ).

fof(c_0_305,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_306,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_307,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( hskp15
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_308,negated_conjecture,
    ( epred13_0
    | hskp28
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_176]),c_0_177]),c_0_179]) ).

cnf(c_0_309,negated_conjecture,
    ( c3_1(a507)
    | ~ hskp9 ),
    c_0_249 ).

cnf(c_0_310,negated_conjecture,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    c_0_250 ).

cnf(c_0_311,negated_conjecture,
    ( ~ c1_1(a507)
    | ~ hskp9 ),
    c_0_251 ).

cnf(c_0_312,negated_conjecture,
    ( epred12_0
    | ~ c1_1(a509)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_193]),c_0_253]) ).

cnf(c_0_313,negated_conjecture,
    ( epred9_0
    | c1_1(a509)
    | hskp9
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_254]),c_0_252]) ).

cnf(c_0_314,negated_conjecture,
    ( epred50_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]),c_0_258]) ).

cnf(c_0_315,negated_conjecture,
    ( epred47_0
    | epred9_0
    | hskp9
    | hskp10
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_316,negated_conjecture,
    ( ~ c2_1(a532)
    | ~ hskp17 ),
    c_0_261 ).

cnf(c_0_317,negated_conjecture,
    ( ~ c1_1(a532)
    | ~ hskp17 ),
    c_0_262 ).

cnf(c_0_318,negated_conjecture,
    ( c3_1(a532)
    | ~ hskp17 ),
    c_0_263 ).

cnf(c_0_319,negated_conjecture,
    ( epred10_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]),c_0_267]) ).

cnf(c_0_320,negated_conjecture,
    ( hskp11
    | hskp17
    | hskp26 ),
    clause38 ).

fof(c_0_321,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( hskp4
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_322,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_323,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( hskp10
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_324,negated_conjecture,
    ( c2_1(X1)
    | hskp15
    | hskp10
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_268 ).

cnf(c_0_325,negated_conjecture,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    c_0_269 ).

cnf(c_0_326,negated_conjecture,
    ( c1_1(a501)
    | ~ hskp6 ),
    c_0_270 ).

cnf(c_0_327,negated_conjecture,
    ( c2_1(a501)
    | ~ hskp6 ),
    c_0_271 ).

cnf(c_0_328,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred3_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_329,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp14 ),
    clause36 ).

cnf(c_0_330,negated_conjecture,
    ( hskp12
    | hskp20
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_220]),c_0_221]),c_0_222]) ).

cnf(c_0_331,negated_conjecture,
    ( epred49_0
    | ~ c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).

cnf(c_0_332,negated_conjecture,
    ( c1_1(a520)
    | hskp12
    | hskp20
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_277]),c_0_275]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ c2_1(a534)
    | ~ hskp19 ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

cnf(c_0_334,negated_conjecture,
    ( c1_1(a534)
    | ~ hskp19 ),
    inference(fof_simplification,[status(thm)],[clause61]) ).

cnf(c_0_335,negated_conjecture,
    ( ~ c3_1(a534)
    | ~ hskp19 ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

fof(c_0_336,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_337,negated_conjecture,
    ( hskp27
    | hskp19
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_278 ).

cnf(c_0_338,negated_conjecture,
    ( c3_1(a500)
    | ~ hskp28 ),
    inference(fof_simplification,[status(thm)],[clause51]) ).

cnf(c_0_339,negated_conjecture,
    ( c2_1(a500)
    | ~ hskp28 ),
    inference(fof_simplification,[status(thm)],[clause50]) ).

cnf(c_0_340,negated_conjecture,
    ( c0_1(a500)
    | ~ hskp28 ),
    inference(fof_simplification,[status(thm)],[clause49]) ).

cnf(c_0_341,negated_conjecture,
    ( epred25_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_279]) ).

fof(c_0_342,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( hskp17
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_343,negated_conjecture,
    ( c3_1(a505)
    | ~ hskp8 ),
    c_0_280 ).

cnf(c_0_344,negated_conjecture,
    ( ~ c0_1(a505)
    | ~ hskp8 ),
    c_0_281 ).

cnf(c_0_345,negated_conjecture,
    ( epred28_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_282]) ).

cnf(c_0_346,negated_conjecture,
    ( c2_1(a505)
    | ~ hskp8 ),
    c_0_283 ).

cnf(c_0_347,negated_conjecture,
    ( hskp8
    | hskp12
    | ~ c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_277]),c_0_284]) ).

cnf(c_0_348,negated_conjecture,
    ( epred6_0
    | c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_285]),c_0_284]) ).

cnf(c_0_349,negated_conjecture,
    ( epred22_0
    | epred12_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_286,c_0_287]) ).

cnf(c_0_350,negated_conjecture,
    ( epred12_0
    | hskp8
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_351,negated_conjecture,
    ( c3_1(a540)
    | ~ hskp22 ),
    c_0_290 ).

cnf(c_0_352,negated_conjecture,
    ( c1_1(a540)
    | ~ hskp22 ),
    c_0_291 ).

cnf(c_0_353,negated_conjecture,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    c_0_292 ).

cnf(c_0_354,negated_conjecture,
    ( epred5_0
    | hskp22
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_295]),c_0_296]) ).

cnf(c_0_355,negated_conjecture,
    ( epred34_0
    | hskp24
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_277]),c_0_284]),c_0_275]) ).

cnf(c_0_356,negated_conjecture,
    ( epred15_0
    | epred12_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_298,c_0_299]) ).

cnf(c_0_357,negated_conjecture,
    ( epred12_0
    | ~ c1_1(a554)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_193]),c_0_294]) ).

cnf(c_0_358,negated_conjecture,
    ( epred6_0
    | c1_1(a554)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_285]),c_0_294]) ).

fof(c_0_359,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp9
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_360,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp13
    | hskp30
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_361,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp26
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_300 ).

cnf(c_0_362,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause157]) ).

cnf(c_0_363,negated_conjecture,
    ( epred39_0
    | epred14_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_301,c_0_218]) ).

cnf(c_0_364,negated_conjecture,
    ( epred52_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_302]),c_0_234]),c_0_233]) ).

cnf(c_0_365,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp7
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    c_0_303 ).

cnf(c_0_366,negated_conjecture,
    ( c0_1(a538)
    | ~ hskp21 ),
    inference(fof_simplification,[status(thm)],[clause60]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ c1_1(a538)
    | ~ hskp21 ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ c3_1(a538)
    | ~ hskp21 ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

fof(c_0_369,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( hskp21
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_370,negated_conjecture,
    ( c2_1(X1)
    | hskp5
    | hskp4
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    c_0_304 ).

cnf(c_0_371,negated_conjecture,
    ( ~ c2_1(a498)
    | ~ hskp4 ),
    inference(fof_simplification,[status(thm)],[clause126]) ).

cnf(c_0_372,negated_conjecture,
    ( c1_1(a498)
    | ~ hskp4 ),
    inference(fof_simplification,[status(thm)],[clause84]) ).

cnf(c_0_373,negated_conjecture,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    inference(fof_simplification,[status(thm)],[clause125]) ).

cnf(c_0_374,negated_conjecture,
    ( epred35_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_305]) ).

cnf(c_0_375,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_306]) ).

fof(c_0_376,plain,
    ( ~ epred54_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_377,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | hskp15
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_307]),c_0_167])]) ).

cnf(c_0_378,negated_conjecture,
    ( epred13_0
    | c1_1(a509)
    | hskp28
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_254]),c_0_253]) ).

cnf(c_0_379,negated_conjecture,
    ( epred13_0
    | hskp10
    | hskp26
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_308,c_0_260]) ).

cnf(c_0_380,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause164]) ).

cnf(c_0_381,negated_conjecture,
    ( epred14_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_309]),c_0_310]),c_0_311]) ).

cnf(c_0_382,negated_conjecture,
    ( epred12_0
    | epred9_0
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_383,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred9_0
    | hskp9
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_314,c_0_315]) ).

cnf(c_0_384,negated_conjecture,
    ( epred10_0
    | ~ c0_1(a532)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_265]),c_0_317]) ).

cnf(c_0_385,negated_conjecture,
    ( epred14_0
    | c0_1(a532)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_318]),c_0_317]) ).

cnf(c_0_386,negated_conjecture,
    ( epred10_0
    | hskp17
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_319,c_0_320]) ).

cnf(c_0_387,negated_conjecture,
    ( epred27_0
    | c3_1(X1)
    | hskp4
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_321]),c_0_167])]) ).

cnf(c_0_388,negated_conjecture,
    ( epred2_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_322]) ).

cnf(c_0_389,negated_conjecture,
    ( epred21_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp10
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_323]),c_0_167])]) ).

cnf(c_0_390,negated_conjecture,
    ( c2_1(X1)
    | hskp10
    | hskp15
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_324,c_0_167])]) ).

cnf(c_0_391,negated_conjecture,
    ( c3_1(a504)
    | ~ hskp29 ),
    inference(fof_simplification,[status(thm)],[clause48]) ).

cnf(c_0_392,negated_conjecture,
    ( c1_1(a504)
    | ~ hskp29 ),
    inference(fof_simplification,[status(thm)],[clause47]) ).

cnf(c_0_393,negated_conjecture,
    ( c0_1(a504)
    | ~ hskp29 ),
    inference(fof_simplification,[status(thm)],[clause46]) ).

cnf(c_0_394,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp29
    | hskp8
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause139]) ).

cnf(c_0_395,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause160]) ).

cnf(c_0_396,negated_conjecture,
    ( epred3_0
    | c1_1(a520)
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_277]),c_0_275]) ).

cnf(c_0_397,negated_conjecture,
    ( epred49_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_276]),c_0_326]),c_0_327]) ).

cnf(c_0_398,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred3_0
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ c2_1(a536)
    | ~ hskp20 ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

fof(c_0_400,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_401,negated_conjecture,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_402,negated_conjecture,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_403,negated_conjecture,
    ( hskp6
    | hskp12
    | hskp13
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_330,c_0_329]) ).

cnf(c_0_404,negated_conjecture,
    ( epred49_0
    | hskp12
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_331,c_0_332]) ).

fof(c_0_405,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_406,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( hskp29
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_407,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp12
    | hskp8
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause142]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ c2_1(a534)
    | ~ hskp19 ),
    c_0_333 ).

cnf(c_0_409,negated_conjecture,
    ( c1_1(a534)
    | ~ hskp19 ),
    c_0_334 ).

cnf(c_0_410,negated_conjecture,
    ( ~ c3_1(a534)
    | ~ hskp19 ),
    c_0_335 ).

cnf(c_0_411,negated_conjecture,
    ( epred53_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_336]) ).

cnf(c_0_412,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_167])]) ).

cnf(c_0_413,negated_conjecture,
    ( c3_1(a500)
    | ~ hskp28 ),
    c_0_338 ).

cnf(c_0_414,negated_conjecture,
    ( c2_1(a500)
    | ~ hskp28 ),
    c_0_339 ).

cnf(c_0_415,negated_conjecture,
    ( c0_1(a500)
    | ~ hskp28 ),
    c_0_340 ).

cnf(c_0_416,negated_conjecture,
    ( epred25_0
    | ~ c0_1(a532)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_318]),c_0_317]) ).

cnf(c_0_417,negated_conjecture,
    ( epred38_0
    | c3_1(X1)
    | hskp17
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_342]),c_0_167])]) ).

cnf(c_0_418,negated_conjecture,
    ( epred25_0
    | c1_1(a509)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_254]),c_0_253]) ).

cnf(c_0_419,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp23
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause177]) ).

cnf(c_0_420,negated_conjecture,
    ( epred22_0
    | ~ c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_343]),c_0_344]) ).

cnf(c_0_421,negated_conjecture,
    ( epred28_0
    | c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_344]) ).

cnf(c_0_422,negated_conjecture,
    ( epred6_0
    | hskp8
    | hskp12
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_423,negated_conjecture,
    ( epred22_0
    | epred12_0
    | hskp8
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_349,c_0_350]) ).

cnf(c_0_424,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause165]) ).

cnf(c_0_425,negated_conjecture,
    ( epred22_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_351]),c_0_352]),c_0_353]) ).

cnf(c_0_426,negated_conjecture,
    ( epred34_0
    | epred5_0
    | hskp22
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_354,c_0_355]) ).

cnf(c_0_427,negated_conjecture,
    ( epred15_0
    | epred12_0
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_356,c_0_289]) ).

cnf(c_0_428,negated_conjecture,
    ( epred12_0
    | epred6_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_357,c_0_358]) ).

fof(c_0_429,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( hskp1
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_430,negated_conjecture,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    inference(fof_simplification,[status(thm)],[clause130]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    inference(fof_simplification,[status(thm)],[clause129]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

fof(c_0_433,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( hskp2
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_434,plain,
    ( ~ epred46_0
  <=> ! [X2] :
        ( hskp2
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_435,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( hskp6
        | c0_1(X2)
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_436,negated_conjecture,
    ( epred7_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp9
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_359]),c_0_167])]) ).

cnf(c_0_437,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp13
    | hskp30
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    c_0_360 ).

cnf(c_0_438,negated_conjecture,
    ( c2_1(a558)
    | ~ hskp25 ),
    inference(fof_simplification,[status(thm)],[clause54]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ c0_1(a558)
    | ~ hskp25 ),
    inference(fof_simplification,[status(thm)],[clause92]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ c3_1(a558)
    | ~ hskp25 ),
    inference(fof_simplification,[status(thm)],[clause93]) ).

cnf(c_0_441,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp26
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_167])]) ).

cnf(c_0_442,negated_conjecture,
    ( epred25_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_176]),c_0_177]),c_0_179]) ).

cnf(c_0_443,negated_conjecture,
    ( c2_1(a497)
    | ~ hskp3 ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ c0_1(a497)
    | ~ hskp3 ),
    inference(fof_simplification,[status(thm)],[clause127]) ).

cnf(c_0_445,negated_conjecture,
    ( ~ c1_1(a497)
    | ~ hskp3 ),
    inference(fof_simplification,[status(thm)],[clause128]) ).

cnf(c_0_446,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_362 ).

cnf(c_0_447,negated_conjecture,
    ( c3_1(a512)
    | ~ hskp30 ),
    inference(fof_simplification,[status(thm)],[clause45]) ).

cnf(c_0_448,negated_conjecture,
    ( c1_1(a512)
    | ~ hskp30 ),
    inference(fof_simplification,[status(thm)],[clause43]) ).

cnf(c_0_449,negated_conjecture,
    ( c2_1(a512)
    | ~ hskp30 ),
    inference(fof_simplification,[status(thm)],[clause44]) ).

cnf(c_0_450,negated_conjecture,
    ( epred39_0
    | epred14_0
    | epred3_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_363,c_0_273]) ).

cnf(c_0_451,negated_conjecture,
    ( epred52_0
    | ~ c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_302]),c_0_284]) ).

cnf(c_0_452,negated_conjecture,
    ( epred39_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_231]),c_0_230]),c_0_229]) ).

cnf(c_0_453,negated_conjecture,
    ( epred52_0
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_364,c_0_289]) ).

fof(c_0_454,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( hskp7
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_455,negated_conjecture,
    ( c2_1(a499)
    | ~ hskp5 ),
    inference(fof_simplification,[status(thm)],[clause83]) ).

cnf(c_0_456,negated_conjecture,
    ( c0_1(a499)
    | ~ hskp5 ),
    inference(fof_simplification,[status(thm)],[clause82]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    inference(fof_simplification,[status(thm)],[clause124]) ).

cnf(c_0_458,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | hskp5
    | hskp7
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_167])]) ).

cnf(c_0_459,negated_conjecture,
    ( c0_1(a538)
    | ~ hskp21 ),
    c_0_366 ).

cnf(c_0_460,negated_conjecture,
    ( ~ c1_1(a538)
    | ~ hskp21 ),
    c_0_367 ).

cnf(c_0_461,negated_conjecture,
    ( ~ c3_1(a538)
    | ~ hskp21 ),
    c_0_368 ).

cnf(c_0_462,negated_conjecture,
    ( epred16_0
    | c3_1(X1)
    | hskp21
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_369]),c_0_167])]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    inference(fof_simplification,[status(thm)],[clause122]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    inference(fof_simplification,[status(thm)],[clause121]) ).

fof(c_0_466,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_467,negated_conjecture,
    ( c2_1(X1)
    | hskp4
    | hskp5
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_167])]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ c2_1(a498)
    | ~ hskp4 ),
    c_0_371 ).

cnf(c_0_469,negated_conjecture,
    ( c1_1(a498)
    | ~ hskp4 ),
    c_0_372 ).

cnf(c_0_470,negated_conjecture,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    c_0_373 ).

cnf(c_0_471,negated_conjecture,
    ( epred35_0
    | ~ c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_231]),c_0_229]) ).

cnf(c_0_472,negated_conjecture,
    ( epred8_0
    | c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_375]),c_0_230]) ).

fof(c_0_473,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( hskp0
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_474,negated_conjecture,
    ( epred54_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_376]) ).

cnf(c_0_475,negated_conjecture,
    ( epred40_0
    | hskp15
    | ~ c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_230]),c_0_229]) ).

cnf(c_0_476,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause184]) ).

cnf(c_0_477,negated_conjecture,
    ( epred13_0
    | epred12_0
    | hskp28
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_312,c_0_378]) ).

cnf(c_0_478,negated_conjecture,
    ( epred50_0
    | epred13_0
    | hskp10
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_314,c_0_379]) ).

cnf(c_0_479,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    c_0_380 ).

cnf(c_0_480,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred9_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_481,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred14_0
    | epred9_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_381,c_0_383]) ).

cnf(c_0_482,negated_conjecture,
    ( epred14_0
    | epred10_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_384,c_0_385]) ).

cnf(c_0_483,negated_conjecture,
    ( epred50_0
    | epred10_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_314,c_0_386]) ).

fof(c_0_484,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( hskp5
        | c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_485,negated_conjecture,
    ( epred27_0
    | hskp4
    | ~ c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_220]),c_0_222]) ).

cnf(c_0_486,negated_conjecture,
    ( epred2_0
    | c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_388]),c_0_221]) ).

cnf(c_0_487,negated_conjecture,
    ( epred8_0
    | ~ c1_1(a494)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_375]),c_0_182]) ).

cnf(c_0_488,negated_conjecture,
    ( epred21_0
    | hskp10
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_266]),c_0_267]),c_0_264]) ).

fof(c_0_489,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_490,negated_conjecture,
    ( hskp10
    | hskp15
    | ~ c0_1(a532)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_318]),c_0_316]) ).

cnf(c_0_491,negated_conjecture,
    ( c3_1(a504)
    | ~ hskp29 ),
    c_0_391 ).

cnf(c_0_492,negated_conjecture,
    ( c1_1(a504)
    | ~ hskp29 ),
    c_0_392 ).

cnf(c_0_493,negated_conjecture,
    ( c0_1(a504)
    | ~ hskp29 ),
    c_0_393 ).

cnf(c_0_494,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp29
    | hskp8
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_394 ).

cnf(c_0_495,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    c_0_395 ).

cnf(c_0_496,negated_conjecture,
    ( epred49_0
    | epred3_0
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_331,c_0_396]) ).

cnf(c_0_497,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred14_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_397,c_0_398]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ c2_1(a536)
    | ~ hskp20 ),
    c_0_399 ).

cnf(c_0_499,negated_conjecture,
    ( epred4_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_400]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    c_0_401 ).

cnf(c_0_501,negated_conjecture,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    c_0_402 ).

cnf(c_0_502,negated_conjecture,
    ( epred49_0
    | hskp12
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_403]),c_0_404]) ).

cnf(c_0_503,negated_conjecture,
    ( epred51_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_405]),c_0_167])]) ).

cnf(c_0_504,negated_conjecture,
    ( epred32_0
    | c1_1(X1)
    | hskp29
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_406]),c_0_167])]) ).

cnf(c_0_505,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp12
    | hskp8
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    c_0_407 ).

cnf(c_0_506,negated_conjecture,
    ( c0_1(X1)
    | hskp28
    | hskp16
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_507,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp6
    | hskp9
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause140]) ).

cnf(c_0_508,negated_conjecture,
    ( epred12_0
    | ~ c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_193]),c_0_409]) ).

cnf(c_0_509,negated_conjecture,
    ( epred53_0
    | c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_409]) ).

cnf(c_0_510,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ c1_1(a500)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_413]),c_0_414]) ).

cnf(c_0_511,negated_conjecture,
    ( epred25_0
    | c1_1(a500)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_413]),c_0_415]) ).

cnf(c_0_512,negated_conjecture,
    ( epred25_0
    | epred14_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_416,c_0_385]) ).

cnf(c_0_513,negated_conjecture,
    ( epred38_0
    | hskp17
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_277]),c_0_284]),c_0_275]) ).

cnf(c_0_514,negated_conjecture,
    ( epred25_0
    | epred12_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_312,c_0_418]) ).

cnf(c_0_515,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp10 ),
    clause34 ).

cnf(c_0_516,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause192]) ).

cnf(c_0_517,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp23
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    c_0_419 ).

cnf(c_0_518,negated_conjecture,
    ( epred28_0
    | epred22_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_420,c_0_421]) ).

cnf(c_0_519,negated_conjecture,
    ( epred22_0
    | epred12_0
    | epred6_0
    | hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_422]),c_0_423]) ).

cnf(c_0_520,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    c_0_424 ).

cnf(c_0_521,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred5_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_425,c_0_426]) ).

cnf(c_0_522,negated_conjecture,
    ( epred22_0
    | epred15_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_349,c_0_427]) ).

cnf(c_0_523,negated_conjecture,
    ( epred34_0
    | epred12_0
    | epred6_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_428,c_0_355]) ).

fof(c_0_524,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( hskp8
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_525,negated_conjecture,
    ( c1_1(a495)
    | ~ hskp1 ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ c0_1(a495)
    | ~ hskp1 ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_527,negated_conjecture,
    ( ~ c3_1(a495)
    | ~ hskp1 ),
    inference(fof_simplification,[status(thm)],[clause133]) ).

cnf(c_0_528,negated_conjecture,
    ( epred1_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp1
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_429]),c_0_167])]) ).

cnf(c_0_529,negated_conjecture,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    c_0_430 ).

cnf(c_0_530,negated_conjecture,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    c_0_431 ).

cnf(c_0_531,negated_conjecture,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    c_0_432 ).

cnf(c_0_532,negated_conjecture,
    ( epred43_0
    | c2_1(X1)
    | hskp2
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_433]),c_0_167])]) ).

cnf(c_0_533,negated_conjecture,
    ( epred46_0
    | c3_1(X1)
    | hskp2
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_434]),c_0_167])]) ).

fof(c_0_534,plain,
    ( ~ epred55_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_535,negated_conjecture,
    ( epred11_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_435]),c_0_167])]) ).

cnf(c_0_536,negated_conjecture,
    ( epred7_0
    | hskp9
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_266]),c_0_267]),c_0_264]) ).

fof(c_0_537,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_538,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp13
    | hskp30
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_437,c_0_167])]) ).

cnf(c_0_539,negated_conjecture,
    ( c2_1(a558)
    | ~ hskp25 ),
    c_0_438 ).

cnf(c_0_540,negated_conjecture,
    ( ~ c0_1(a558)
    | ~ hskp25 ),
    c_0_439 ).

cnf(c_0_541,negated_conjecture,
    ( ~ c3_1(a558)
    | ~ hskp25 ),
    c_0_440 ).

cnf(c_0_542,negated_conjecture,
    ( hskp25
    | hskp26
    | ~ c1_1(a509)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_254]),c_0_252]) ).

cnf(c_0_543,negated_conjecture,
    ( epred25_0
    | hskp10
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_442,c_0_260]) ).

cnf(c_0_544,negated_conjecture,
    ( c2_1(a497)
    | ~ hskp3 ),
    c_0_443 ).

cnf(c_0_545,negated_conjecture,
    ( ~ c0_1(a497)
    | ~ hskp3 ),
    c_0_444 ).

cnf(c_0_546,negated_conjecture,
    ( ~ c1_1(a497)
    | ~ hskp3 ),
    c_0_445 ).

cnf(c_0_547,negated_conjecture,
    ( hskp3
    | hskp13
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_167])]) ).

cnf(c_0_548,negated_conjecture,
    ( c3_1(a512)
    | ~ hskp30 ),
    c_0_447 ).

cnf(c_0_549,negated_conjecture,
    ( c1_1(a512)
    | ~ hskp30 ),
    c_0_448 ).

cnf(c_0_550,negated_conjecture,
    ( c2_1(a512)
    | ~ hskp30 ),
    c_0_449 ).

cnf(c_0_551,negated_conjecture,
    ( epred39_0
    | epred14_0
    | epred3_0
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_450,c_0_329]) ).

cnf(c_0_552,negated_conjecture,
    ( epred52_0
    | epred3_0
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_451,c_0_396]) ).

cnf(c_0_553,negated_conjecture,
    ( epred52_0
    | epred39_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_554,negated_conjecture,
    ( epred52_0
    | hskp12
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_332]),c_0_453]) ).

cnf(c_0_555,negated_conjecture,
    ( epred26_0
    | c1_1(X1)
    | hskp7
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_454]),c_0_167])]) ).

cnf(c_0_556,negated_conjecture,
    ( c2_1(a499)
    | ~ hskp5 ),
    c_0_455 ).

cnf(c_0_557,negated_conjecture,
    ( c0_1(a499)
    | ~ hskp5 ),
    c_0_456 ).

cnf(c_0_558,negated_conjecture,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    c_0_457 ).

cnf(c_0_559,negated_conjecture,
    ( hskp5
    | hskp7
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_460]),c_0_461]) ).

cnf(c_0_560,negated_conjecture,
    ( epred16_0
    | hskp21
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_327]),c_0_326]),c_0_325]) ).

cnf(c_0_561,negated_conjecture,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    c_0_463 ).

cnf(c_0_562,negated_conjecture,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    c_0_464 ).

cnf(c_0_563,negated_conjecture,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    c_0_465 ).

fof(c_0_564,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_565,negated_conjecture,
    ( epred18_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_466]) ).

cnf(c_0_566,negated_conjecture,
    ( hskp4
    | hskp5
    | ~ c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_230]),c_0_229]) ).

cnf(c_0_567,negated_conjecture,
    ( epred8_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_375]),c_0_469]),c_0_470]) ).

cnf(c_0_568,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    inference(fof_simplification,[status(thm)],[clause195]) ).

cnf(c_0_569,negated_conjecture,
    ( epred35_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_471,c_0_472]) ).

cnf(c_0_570,negated_conjecture,
    ( epred48_0
    | c3_1(X1)
    | hskp0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_473]),c_0_167])]) ).

cnf(c_0_571,negated_conjecture,
    ( epred54_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_181]),c_0_182]),c_0_246]) ).

cnf(c_0_572,negated_conjecture,
    ( hskp22
    | hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause159]) ).

cnf(c_0_573,negated_conjecture,
    ( epred40_0
    | epred8_0
    | hskp15
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_475,c_0_472]) ).

cnf(c_0_574,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp28
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause170]) ).

cnf(c_0_575,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    c_0_476 ).

cnf(c_0_576,negated_conjecture,
    ( epred47_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_413]),c_0_415]),c_0_414]) ).

cnf(c_0_577,negated_conjecture,
    ( epred50_0
    | epred13_0
    | epred12_0
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_477,c_0_478]) ).

cnf(c_0_578,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_479,c_0_166]),c_0_214]) ).

cnf(c_0_579,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred14_0
    | epred12_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_480,c_0_481]) ).

cnf(c_0_580,negated_conjecture,
    ( epred50_0
    | epred14_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_482,c_0_483]) ).

fof(c_0_581,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( hskp20
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_582,plain,
    ( ~ epred56_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c3_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_583,negated_conjecture,
    ( epred41_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp5
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_484]),c_0_167])]) ).

cnf(c_0_584,negated_conjecture,
    ( epred27_0
    | hskp4
    | ~ c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_327]),c_0_325]) ).

cnf(c_0_585,negated_conjecture,
    ( epred53_0
    | c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_411]),c_0_326]) ).

cnf(c_0_586,negated_conjecture,
    ( epred27_0
    | epred2_0
    | hskp4
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_485,c_0_486]) ).

cnf(c_0_587,negated_conjecture,
    ( epred27_0
    | hskp4
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_277]),c_0_284]),c_0_275]) ).

cnf(c_0_588,negated_conjecture,
    ( epred14_0
    | epred8_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_487,c_0_218]) ).

cnf(c_0_589,negated_conjecture,
    ( epred39_0
    | ~ c1_1(a509)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_254]),c_0_252]) ).

cnf(c_0_590,negated_conjecture,
    ( epred9_0
    | hskp9
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_318]),c_0_317]),c_0_316]) ).

cnf(c_0_591,negated_conjecture,
    ( epred21_0
    | hskp10
    | hskp17
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_488,c_0_320]) ).

cnf(c_0_592,negated_conjecture,
    ( epred8_0
    | ~ c1_1(a559)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_375]),c_0_257]) ).

cnf(c_0_593,negated_conjecture,
    ( epred2_0
    | c1_1(a559)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_388]),c_0_257]) ).

cnf(c_0_594,negated_conjecture,
    ( epred31_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_489]) ).

cnf(c_0_595,negated_conjecture,
    ( c2_1(a533)
    | ~ hskp18 ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_596,negated_conjecture,
    ( ~ c0_1(a533)
    | ~ hskp18 ),
    inference(fof_simplification,[status(thm)],[clause105]) ).

cnf(c_0_597,negated_conjecture,
    ( epred7_0
    | c1_1(a509)
    | hskp9
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_253]),c_0_252]) ).

cnf(c_0_598,negated_conjecture,
    ( epred14_0
    | hskp10
    | hskp15
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_490,c_0_385]) ).

cnf(c_0_599,negated_conjecture,
    ( epred52_0
    | ~ c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_302]),c_0_409]) ).

cnf(c_0_600,negated_conjecture,
    ( epred8_0
    | c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_375]),c_0_409]) ).

cnf(c_0_601,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ c2_1(a504)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_491]),c_0_492]) ).

cnf(c_0_602,negated_conjecture,
    ( epred35_0
    | c2_1(a504)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_491]),c_0_493]) ).

cnf(c_0_603,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp8
    | hskp29
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_494,c_0_167])]) ).

cnf(c_0_604,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_495,c_0_184]),c_0_400]) ).

cnf(c_0_605,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred14_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_496]),c_0_497]) ).

cnf(c_0_606,negated_conjecture,
    ( epred4_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_500]),c_0_501]) ).

cnf(c_0_607,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred12_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_349,c_0_502]) ).

fof(c_0_608,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( hskp2
        | c0_1(X2)
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_609,negated_conjecture,
    ( hskp4
    | hskp5
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_242]),c_0_241]),c_0_240]) ).

cnf(c_0_610,negated_conjecture,
    ( epred47_0
    | ~ c2_1(a504)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_491]),c_0_493]) ).

cnf(c_0_611,negated_conjecture,
    ( epred51_0
    | c2_1(a504)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_491]),c_0_492]) ).

cnf(c_0_612,negated_conjecture,
    ( epred32_0
    | c1_1(a505)
    | hskp29
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_343]),c_0_346]) ).

cnf(c_0_613,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp8
    | hskp12
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_505,c_0_167])]) ).

cnf(c_0_614,negated_conjecture,
    ( c0_1(X1)
    | hskp28
    | hskp16
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_506 ).

cnf(c_0_615,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp6
    | hskp9
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_507 ).

cnf(c_0_616,negated_conjecture,
    ( epred53_0
    | epred12_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_508,c_0_509]) ).

cnf(c_0_617,negated_conjecture,
    ( epred25_0
    | hskp19
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_511]),c_0_442]) ).

cnf(c_0_618,negated_conjecture,
    ( epred38_0
    | epred25_0
    | epred14_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_512,c_0_513]) ).

cnf(c_0_619,negated_conjecture,
    ( epred25_0
    | epred12_0
    | hskp13
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_514,c_0_515]) ).

cnf(c_0_620,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_343]),c_0_346]) ).

cnf(c_0_621,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    c_0_516 ).

cnf(c_0_622,negated_conjecture,
    ( ~ epred15_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_517,c_0_199]),c_0_228]) ).

cnf(c_0_623,negated_conjecture,
    ( epred28_0
    | epred22_0
    | epred12_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_518,c_0_519]) ).

cnf(c_0_624,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_520,c_0_235]),c_0_228]) ).

cnf(c_0_625,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred15_0
    | epred12_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_626,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred15_0
    | epred12_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_523,c_0_522]) ).

cnf(c_0_627,negated_conjecture,
    ( epred24_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp8
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_524]),c_0_167])]) ).

cnf(c_0_628,negated_conjecture,
    ( c1_1(a495)
    | ~ hskp1 ),
    c_0_525 ).

cnf(c_0_629,negated_conjecture,
    ( ~ c0_1(a495)
    | ~ hskp1 ),
    c_0_526 ).

cnf(c_0_630,negated_conjecture,
    ( ~ c3_1(a495)
    | ~ hskp1 ),
    c_0_527 ).

cnf(c_0_631,negated_conjecture,
    ( epred1_0
    | c1_1(a520)
    | hskp1
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_284]),c_0_275]) ).

cnf(c_0_632,negated_conjecture,
    ( epred25_0
    | epred6_0
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_341,c_0_285]) ).

cnf(c_0_633,negated_conjecture,
    ( epred10_0
    | ~ c0_1(a496)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_265]),c_0_530]) ).

cnf(c_0_634,negated_conjecture,
    ( epred50_0
    | c0_1(a496)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_256]),c_0_529]) ).

cnf(c_0_635,negated_conjecture,
    ( epred43_0
    | hskp2
    | ~ c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_231]),c_0_229]) ).

cnf(c_0_636,negated_conjecture,
    ( epred46_0
    | hskp2
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_233]),c_0_234]),c_0_244]) ).

cnf(c_0_637,negated_conjecture,
    ( epred55_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_534]) ).

cnf(c_0_638,negated_conjecture,
    ( epred11_0
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_535]),c_0_257]),c_0_258]) ).

cnf(c_0_639,negated_conjecture,
    ( epred7_0
    | hskp9
    | hskp17
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_536,c_0_320]) ).

cnf(c_0_640,negated_conjecture,
    ( c1_1(a533)
    | ~ hskp18 ),
    inference(fof_simplification,[status(thm)],[clause62]) ).

fof(c_0_641,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_642,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp18
    | hskp19
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause137]) ).

cnf(c_0_643,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp10
    | hskp11
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause136]) ).

cnf(c_0_644,negated_conjecture,
    ( epred45_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_537]) ).

cnf(c_0_645,negated_conjecture,
    ( hskp13
    | hskp30
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_539]),c_0_540]),c_0_541]) ).

cnf(c_0_646,negated_conjecture,
    ( epred25_0
    | hskp25
    | hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_418]),c_0_543]) ).

cnf(c_0_647,negated_conjecture,
    ( epred28_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_544]),c_0_545]),c_0_546]) ).

cnf(c_0_648,negated_conjecture,
    ( hskp3
    | hskp13
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_549]),c_0_550]) ).

cnf(c_0_649,negated_conjecture,
    ( hskp25
    | hskp26
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_231]),c_0_230]),c_0_229]) ).

cnf(c_0_650,negated_conjecture,
    ( epred49_0
    | epred39_0
    | epred14_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_397,c_0_551]) ).

cnf(c_0_651,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause169]) ).

cnf(c_0_652,negated_conjecture,
    ( epred52_0
    | epred39_0
    | epred14_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_552]),c_0_553]) ).

cnf(c_0_653,negated_conjecture,
    ( epred52_0
    | epred39_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_452,c_0_554]) ).

fof(c_0_654,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( hskp20
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_655,negated_conjecture,
    ( epred26_0
    | hskp7
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_557]),c_0_558]) ).

cnf(c_0_656,negated_conjecture,
    ( epred16_0
    | hskp5
    | hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_559,c_0_560]) ).

cnf(c_0_657,negated_conjecture,
    ( epred26_0
    | hskp7
    | ~ c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_220]),c_0_221]) ).

cnf(c_0_658,negated_conjecture,
    ( epred2_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_388]),c_0_562]),c_0_563]) ).

cnf(c_0_659,negated_conjecture,
    ( epred37_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_564]) ).

cnf(c_0_660,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    inference(fof_simplification,[status(thm)],[clause191]) ).

cnf(c_0_661,negated_conjecture,
    ( epred18_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_556]),c_0_557]),c_0_558]) ).

cnf(c_0_662,negated_conjecture,
    ( epred8_0
    | hskp5
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_472]),c_0_567]) ).

cnf(c_0_663,negated_conjecture,
    ( epred18_0
    | c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_277]),c_0_284]) ).

cnf(c_0_664,negated_conjecture,
    ( epred51_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_231]),c_0_230]),c_0_229]) ).

cnf(c_0_665,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause168]) ).

cnf(c_0_666,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    c_0_568 ).

cnf(c_0_667,negated_conjecture,
    ( epred52_0
    | epred35_0
    | epred8_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_569,c_0_453]) ).

cnf(c_0_668,negated_conjecture,
    ( epred48_0
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_327]),c_0_326]),c_0_325]) ).

cnf(c_0_669,negated_conjecture,
    ( epred54_0
    | epred3_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_571,c_0_273]) ).

cnf(c_0_670,negated_conjecture,
    ( hskp22
    | hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    c_0_572 ).

cnf(c_0_671,negated_conjecture,
    ( epred52_0
    | epred40_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_364,c_0_573]) ).

cnf(c_0_672,negated_conjecture,
    ( epred43_0
    | c2_1(a568)
    | hskp2
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_176]),c_0_177]) ).

cnf(c_0_673,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp28
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    c_0_574 ).

cnf(c_0_674,negated_conjecture,
    ( ~ epred43_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_575,c_0_433]),c_0_174]) ).

cnf(c_0_675,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred13_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_576,c_0_577]) ).

cnf(c_0_676,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred14_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_579]),c_0_580]) ).

fof(c_0_677,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( hskp31
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_678,negated_conjecture,
    ( epred17_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp20
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_581]),c_0_167])]) ).

cnf(c_0_679,negated_conjecture,
    ( epred56_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_582]),c_0_167])]) ).

cnf(c_0_680,negated_conjecture,
    ( epred41_0
    | c1_1(a505)
    | hskp5
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_346]),c_0_344]) ).

cnf(c_0_681,negated_conjecture,
    ( epred21_0
    | c1_1(a554)
    | hskp10
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_294]),c_0_295]) ).

cnf(c_0_682,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause190]) ).

cnf(c_0_683,negated_conjecture,
    ( epred53_0
    | epred22_0
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_180,c_0_411]) ).

cnf(c_0_684,negated_conjecture,
    ( epred53_0
    | epred27_0
    | hskp4
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_584,c_0_585]) ).

cnf(c_0_685,negated_conjecture,
    ( epred27_0
    | epred2_0
    | hskp4
    | hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_329]),c_0_587]) ).

cnf(c_0_686,negated_conjecture,
    ( epred14_0
    | epred8_0
    | epred3_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_588,c_0_273]) ).

cnf(c_0_687,negated_conjecture,
    ( epred39_0
    | epred9_0
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_589,c_0_313]) ).

cnf(c_0_688,negated_conjecture,
    ( epred14_0
    | epred9_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_381,c_0_590]) ).

cnf(c_0_689,negated_conjecture,
    ( epred50_0
    | epred21_0
    | hskp10
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_314,c_0_591]) ).

cnf(c_0_690,negated_conjecture,
    ( c3_1(a530)
    | ~ hskp16 ),
    inference(fof_simplification,[status(thm)],[clause66]) ).

cnf(c_0_691,negated_conjecture,
    ( ~ c1_1(a530)
    | ~ hskp16 ),
    inference(fof_simplification,[status(thm)],[clause108]) ).

cnf(c_0_692,negated_conjecture,
    ( c2_1(a530)
    | ~ hskp16 ),
    inference(fof_simplification,[status(thm)],[clause65]) ).

cnf(c_0_693,negated_conjecture,
    ( epred8_0
    | epred2_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_592,c_0_593]) ).

cnf(c_0_694,negated_conjecture,
    ( epred31_0
    | epred12_0
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_594,c_0_193]) ).

cnf(c_0_695,negated_conjecture,
    ( c2_1(a533)
    | ~ hskp18 ),
    c_0_595 ).

cnf(c_0_696,negated_conjecture,
    ( ~ c0_1(a533)
    | ~ hskp18 ),
    c_0_596 ).

cnf(c_0_697,negated_conjecture,
    ( epred12_0
    | epred7_0
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_312,c_0_597]) ).

cnf(c_0_698,negated_conjecture,
    ( epred52_0
    | epred14_0
    | hskp10
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_364,c_0_598]) ).

cnf(c_0_699,negated_conjecture,
    ( epred52_0
    | epred8_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_599,c_0_600]) ).

cnf(c_0_700,negated_conjecture,
    ( epred35_0
    | hskp19
    | hskp27
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_601,c_0_602]) ).

cnf(c_0_701,negated_conjecture,
    ( epred35_0
    | ~ c0_1(a532)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_318]),c_0_316]) ).

cnf(c_0_702,negated_conjecture,
    ( c0_1(a532)
    | hskp8
    | hskp29
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_318]),c_0_317]) ).

cnf(c_0_703,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred14_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_604,c_0_605]) ).

cnf(c_0_704,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred12_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_606,c_0_607]) ).

cnf(c_0_705,negated_conjecture,
    ( epred31_0
    | ~ c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_277]),c_0_284]) ).

cnf(c_0_706,negated_conjecture,
    ( epred30_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_608]),c_0_167])]) ).

cnf(c_0_707,negated_conjecture,
    ( epred15_0
    | hskp4
    | hskp5
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_609,c_0_299]) ).

cnf(c_0_708,negated_conjecture,
    ( epred51_0
    | epred47_0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_610,c_0_611]) ).

cnf(c_0_709,negated_conjecture,
    ( epred32_0
    | epred22_0
    | hskp29
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_420,c_0_612]) ).

cnf(c_0_710,negated_conjecture,
    ( hskp8
    | hskp12
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_469]),c_0_470]),c_0_468]) ).

cnf(c_0_711,negated_conjecture,
    ( c0_1(X1)
    | hskp16
    | hskp28
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_614,c_0_167])]) ).

cnf(c_0_712,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp9
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_615,c_0_167])]) ).

cnf(c_0_713,negated_conjecture,
    ( epred53_0
    | epred25_0
    | epred12_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_616,c_0_617]) ).

cnf(c_0_714,negated_conjecture,
    ( epred38_0
    | epred25_0
    | epred14_0
    | epred12_0
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_618,c_0_619]) ).

cnf(c_0_715,negated_conjecture,
    ( epred12_0
    | epred8_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_508,c_0_600]) ).

cnf(c_0_716,negated_conjecture,
    ( epred28_0
    | hskp19
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_620,c_0_421]) ).

cnf(c_0_717,negated_conjecture,
    ( ~ epred52_0
    | ~ epred50_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_621,c_0_247]),c_0_208]),c_0_174]) ).

cnf(c_0_718,negated_conjecture,
    ( epred28_0
    | epred22_0
    | epred12_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_622,c_0_623]) ).

cnf(c_0_719,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred15_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_625]),c_0_626]) ).

cnf(c_0_720,negated_conjecture,
    ( epred24_0
    | hskp8
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_627,c_0_628]),c_0_629]),c_0_630]) ).

cnf(c_0_721,negated_conjecture,
    ( epred1_0
    | hskp1
    | hskp8
    | hskp12
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_347,c_0_631]) ).

cnf(c_0_722,negated_conjecture,
    ( epred25_0
    | epred6_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_632]),c_0_557]) ).

cnf(c_0_723,negated_conjecture,
    ( epred49_0
    | hskp19
    | hskp27
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_412,c_0_276]) ).

cnf(c_0_724,negated_conjecture,
    ( epred50_0
    | epred10_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_633,c_0_634]) ).

cnf(c_0_725,negated_conjecture,
    ( epred43_0
    | epred8_0
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_635,c_0_472]) ).

cnf(c_0_726,negated_conjecture,
    ( epred46_0
    | hskp2
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_636,c_0_289]) ).

fof(c_0_727,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( hskp3
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_728,negated_conjecture,
    ( epred52_0
    | ~ c1_1(a554)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_302]),c_0_294]) ).

cnf(c_0_729,negated_conjecture,
    ( epred7_0
    | c1_1(a554)
    | hskp9
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_294]),c_0_295]) ).

cnf(c_0_730,negated_conjecture,
    ( epred34_0
    | hskp24
    | ~ c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_327]),c_0_325]) ).

cnf(c_0_731,negated_conjecture,
    ( epred55_0
    | c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_327]),c_0_326]) ).

cnf(c_0_732,negated_conjecture,
    ( epred52_0
    | ~ c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_302]),c_0_326]) ).

cnf(c_0_733,negated_conjecture,
    ( epred11_0
    | epred7_0
    | hskp6
    | hskp9
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_638,c_0_639]) ).

cnf(c_0_734,negated_conjecture,
    ( c1_1(a533)
    | ~ hskp18 ),
    c_0_640 ).

cnf(c_0_735,negated_conjecture,
    ( epred20_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_641]) ).

cnf(c_0_736,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp18
    | hskp19
    | ~ ndr1_0 ),
    c_0_642 ).

cnf(c_0_737,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp10
    | hskp11
    | ~ ndr1_0 ),
    c_0_643 ).

cnf(c_0_738,negated_conjecture,
    ( epred45_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_548]),c_0_549]),c_0_550]) ).

cnf(c_0_739,negated_conjecture,
    ( epred25_0
    | hskp13
    | hskp26
    | hskp30 ),
    inference(spm,[status(thm)],[c_0_645,c_0_646]) ).

cnf(c_0_740,negated_conjecture,
    ( epred28_0
    | hskp13
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_647,c_0_648]) ).

cnf(c_0_741,negated_conjecture,
    ( hskp13
    | hskp26
    | hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_645,c_0_649]) ).

cnf(c_0_742,negated_conjecture,
    ( epred18_0
    | ~ c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_220]),c_0_221]) ).

cnf(c_0_743,negated_conjecture,
    ( c0_1(a527)
    | hskp13
    | hskp30
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_220]),c_0_222]) ).

cnf(c_0_744,negated_conjecture,
    ( hskp3
    | hskp13
    | ~ c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_343]),c_0_346]) ).

cnf(c_0_745,negated_conjecture,
    ( epred41_0
    | hskp5
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_544]),c_0_545]),c_0_546]) ).

cnf(c_0_746,negated_conjecture,
    ( epred49_0
    | epred39_0
    | epred14_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_496]),c_0_650]) ).

cnf(c_0_747,negated_conjecture,
    ( epred49_0
    | epred39_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_452,c_0_502]) ).

cnf(c_0_748,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    c_0_651 ).

cnf(c_0_749,negated_conjecture,
    ( epred52_0
    | epred39_0
    | epred14_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_604,c_0_652]) ).

cnf(c_0_750,negated_conjecture,
    ( epred52_0
    | epred39_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_606,c_0_653]) ).

cnf(c_0_751,negated_conjecture,
    ( epred36_0
    | c2_1(X1)
    | hskp20
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_654]),c_0_167])]) ).

cnf(c_0_752,negated_conjecture,
    ( epred26_0
    | epred16_0
    | hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_655,c_0_656]) ).

cnf(c_0_753,negated_conjecture,
    ( epred26_0
    | epred2_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_657,c_0_486]),c_0_658]) ).

cnf(c_0_754,negated_conjecture,
    ( epred37_0
    | c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_343]),c_0_346]) ).

cnf(c_0_755,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    c_0_660 ).

cnf(c_0_756,negated_conjecture,
    ( epred18_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_661,c_0_662]) ).

cnf(c_0_757,negated_conjecture,
    ( epred52_0
    | epred18_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_451,c_0_663]) ).

cnf(c_0_758,negated_conjecture,
    ( epred52_0
    | epred51_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_664,c_0_453]) ).

cnf(c_0_759,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    c_0_665 ).

cnf(c_0_760,negated_conjecture,
    ( ~ epred55_0
    | ~ epred51_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_666,c_0_405]),c_0_306]),c_0_534]) ).

cnf(c_0_761,negated_conjecture,
    ( epred52_0
    | epred35_0
    | epred27_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_667]),c_0_567]) ).

cnf(c_0_762,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_548]),c_0_549]),c_0_550]) ).

cnf(c_0_763,negated_conjecture,
    ( epred48_0
    | hskp0
    | ~ c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_277]),c_0_275]) ).

cnf(c_0_764,negated_conjecture,
    ( epred54_0
    | epred48_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_571,c_0_668]) ).

cnf(c_0_765,negated_conjecture,
    ( epred54_0
    | epred3_0
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_669,c_0_329]) ).

cnf(c_0_766,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_670,c_0_167])]) ).

cnf(c_0_767,negated_conjecture,
    ( epred52_0
    | epred40_0
    | epred8_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_671,c_0_453]) ).

cnf(c_0_768,negated_conjecture,
    ( epred47_0
    | epred43_0
    | hskp2
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_211,c_0_672]) ).

cnf(c_0_769,negated_conjecture,
    ( epred43_0
    | hskp2
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_254]),c_0_253]),c_0_252]) ).

cnf(c_0_770,negated_conjecture,
    ( ~ epred14_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_673,c_0_203]),c_0_172]) ).

cnf(c_0_771,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred13_0
    | ~ epred43_0 ),
    inference(spm,[status(thm)],[c_0_674,c_0_675]) ).

cnf(c_0_772,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred14_0
    | ~ epred43_0 ),
    inference(spm,[status(thm)],[c_0_674,c_0_676]) ).

cnf(c_0_773,negated_conjecture,
    ( epred12_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_286,c_0_472]) ).

cnf(c_0_774,negated_conjecture,
    ( epred14_0
    | c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_343]),c_0_344]) ).

cnf(c_0_775,negated_conjecture,
    ( epred44_0
    | c2_1(X1)
    | hskp31
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_677]),c_0_167])]) ).

cnf(c_0_776,negated_conjecture,
    ( epred17_0
    | c1_1(a554)
    | hskp20
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_294]),c_0_295]) ).

cnf(c_0_777,negated_conjecture,
    ( epred6_0
    | ~ c0_1(a496)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_285]),c_0_530]) ).

cnf(c_0_778,negated_conjecture,
    ( epred49_0
    | ~ c2_1(a495)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_276]),c_0_628]) ).

cnf(c_0_779,negated_conjecture,
    ( epred56_0
    | c2_1(a495)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_679]),c_0_629]) ).

cnf(c_0_780,negated_conjecture,
    ( epred51_0
    | ~ c1_1(a509)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_254]),c_0_252]) ).

cnf(c_0_781,negated_conjecture,
    ( epred56_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_679]),c_0_257]),c_0_258]) ).

cnf(c_0_782,negated_conjecture,
    ( epred10_0
    | c1_1(a554)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_265]),c_0_294]) ).

cnf(c_0_783,negated_conjecture,
    ( epred26_0
    | c1_1(a520)
    | hskp7
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_277]),c_0_284]) ).

cnf(c_0_784,negated_conjecture,
    ( epred41_0
    | epred22_0
    | hskp5
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_420,c_0_680]) ).

cnf(c_0_785,negated_conjecture,
    ( epred21_0
    | epred12_0
    | hskp10
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_357,c_0_681]) ).

cnf(c_0_786,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    c_0_682 ).

cnf(c_0_787,negated_conjecture,
    ( epred53_0
    | epred22_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_469]),c_0_470]) ).

cnf(c_0_788,negated_conjecture,
    ( epred53_0
    | epred27_0
    | epred2_0
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_684,c_0_685]) ).

cnf(c_0_789,negated_conjecture,
    ( epred14_0
    | epred8_0
    | epred3_0
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_686,c_0_329]) ).

cnf(c_0_790,negated_conjecture,
    ( epred39_0
    | epred14_0
    | epred9_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_381,c_0_687]) ).

cnf(c_0_791,negated_conjecture,
    ( epred50_0
    | epred21_0
    | epred14_0
    | epred9_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_688,c_0_689]) ).

cnf(c_0_792,negated_conjecture,
    ( epred37_0
    | ~ c2_1(a568)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_176]),c_0_179]) ).

cnf(c_0_793,negated_conjecture,
    ( epred17_0
    | c2_1(a568)
    | hskp20
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_177]),c_0_179]) ).

cnf(c_0_794,negated_conjecture,
    ( epred50_0
    | epred25_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_314,c_0_543]) ).

cnf(c_0_795,negated_conjecture,
    ( c2_1(a522)
    | ~ hskp31 ),
    inference(fof_simplification,[status(thm)],[clause42]) ).

cnf(c_0_796,negated_conjecture,
    ( c0_1(a522)
    | ~ hskp31 ),
    inference(fof_simplification,[status(thm)],[clause40]) ).

cnf(c_0_797,negated_conjecture,
    ( c1_1(a522)
    | ~ hskp31 ),
    inference(fof_simplification,[status(thm)],[clause41]) ).

cnf(c_0_798,negated_conjecture,
    ( c3_1(a530)
    | ~ hskp16 ),
    c_0_690 ).

cnf(c_0_799,negated_conjecture,
    ( ~ c1_1(a530)
    | ~ hskp16 ),
    c_0_691 ).

cnf(c_0_800,negated_conjecture,
    ( c2_1(a530)
    | ~ hskp16 ),
    c_0_692 ).

cnf(c_0_801,negated_conjecture,
    ( epred25_0
    | epred8_0
    | epred2_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_693,c_0_543]) ).

cnf(c_0_802,negated_conjecture,
    ( epred31_0
    | epred12_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_233]),c_0_234]) ).

cnf(c_0_803,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    inference(fof_simplification,[status(thm)],[clause196]) ).

cnf(c_0_804,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause194]) ).

cnf(c_0_805,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    inference(fof_simplification,[status(thm)],[clause193]) ).

cnf(c_0_806,negated_conjecture,
    ( c3_1(X2)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause189]) ).

cnf(c_0_807,negated_conjecture,
    ( c3_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause188]) ).

cnf(c_0_808,negated_conjecture,
    ( c2_1(X2)
    | hskp31
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause187]) ).

cnf(c_0_809,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause181]) ).

cnf(c_0_810,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause178]) ).

cnf(c_0_811,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | hskp15
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause180]) ).

cnf(c_0_812,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp17
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause186]) ).

cnf(c_0_813,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause183]) ).

cnf(c_0_814,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp24
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause185]) ).

cnf(c_0_815,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | hskp29
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause182]) ).

cnf(c_0_816,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause166]) ).

cnf(c_0_817,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause171]) ).

cnf(c_0_818,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp10
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_819,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause174]) ).

cnf(c_0_820,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp21
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause176]) ).

cnf(c_0_821,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause162]) ).

cnf(c_0_822,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause163]) ).

cnf(c_0_823,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause161]) ).

cnf(c_0_824,negated_conjecture,
    ( c3_1(a533)
    | hskp13
    | hskp30
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_695]),c_0_696]) ).

cnf(c_0_825,negated_conjecture,
    ( epred38_0
    | hskp17
    | ~ c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_220]),c_0_222]) ).

cnf(c_0_826,negated_conjecture,
    ( epred38_0
    | hskp17
    | ~ c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_327]),c_0_325]) ).

cnf(c_0_827,negated_conjecture,
    ( c0_1(a501)
    | hskp13
    | hskp30
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_327]),c_0_325]) ).

cnf(c_0_828,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred7_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_381,c_0_697]) ).

cnf(c_0_829,negated_conjecture,
    ( epred52_0
    | epred38_0
    | epred14_0
    | hskp10
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_698,c_0_513]) ).

cnf(c_0_830,negated_conjecture,
    ( epred52_0
    | epred35_0
    | epred8_0
    | hskp27
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_699,c_0_700]) ).

cnf(c_0_831,negated_conjecture,
    ( epred35_0
    | hskp8
    | hskp29
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_701,c_0_702]) ).

cnf(c_0_832,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred14_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_703,c_0_704]) ).

cnf(c_0_833,negated_conjecture,
    ( hskp8
    | hskp12
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_347,c_0_332]) ).

cnf(c_0_834,negated_conjecture,
    ( epred31_0
    | hskp12
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_705,c_0_332]) ).

cnf(c_0_835,negated_conjecture,
    ( epred30_0
    | hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_706]),c_0_562]),c_0_563]) ).

cnf(c_0_836,negated_conjecture,
    ( epred26_0
    | epred15_0
    | hskp4
    | hskp7
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_655,c_0_707]) ).

cnf(c_0_837,negated_conjecture,
    ( epred51_0
    | epred47_0
    | epred32_0
    | epred22_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_708,c_0_709]) ).

cnf(c_0_838,negated_conjecture,
    ( epred51_0
    | hskp8
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_664,c_0_710]) ).

cnf(c_0_839,negated_conjecture,
    ( epred49_0
    | c0_1(X1)
    | hskp16
    | hskp28
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_711,c_0_276]) ).

cnf(c_0_840,negated_conjecture,
    ( c2_1(a495)
    | hskp8
    | hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_628]),c_0_629]) ).

cnf(c_0_841,negated_conjecture,
    ( c0_1(a532)
    | hskp6
    | hskp9
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_318]),c_0_317]) ).

cnf(c_0_842,negated_conjecture,
    ( epred53_0
    | epred38_0
    | epred25_0
    | epred14_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_713,c_0_714]) ).

cnf(c_0_843,negated_conjecture,
    ( epred28_0
    | epred12_0
    | epred8_0
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_715,c_0_716]) ).

cnf(c_0_844,negated_conjecture,
    ( epred28_0
    | epred22_0
    | ~ epred52_0
    | ~ epred50_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_717,c_0_718]) ).

cnf(c_0_845,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred15_0
    | ~ epred52_0
    | ~ epred50_0 ),
    inference(spm,[status(thm)],[c_0_717,c_0_719]) ).

cnf(c_0_846,negated_conjecture,
    ( epred35_0
    | epred22_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_471,c_0_287]) ).

cnf(c_0_847,negated_conjecture,
    ( epred24_0
    | epred1_0
    | hskp8
    | hskp12
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_720,c_0_721]) ).

cnf(c_0_848,negated_conjecture,
    ( epred25_0
    | epred6_0
    | c2_1(X1)
    | hskp4
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_632]),c_0_722]) ).

cnf(c_0_849,negated_conjecture,
    ( epred56_0
    | c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_679]),c_0_408]) ).

cnf(c_0_850,negated_conjecture,
    ( epred49_0
    | epred12_0
    | hskp19
    | hskp27
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_723,c_0_193]) ).

cnf(c_0_851,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ c2_1(a540)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_351]),c_0_352]) ).

cnf(c_0_852,negated_conjecture,
    ( epred50_0
    | epred43_0
    | epred10_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_724,c_0_725]) ).

cnf(c_0_853,negated_conjecture,
    ( epred50_0
    | epred46_0
    | epred10_0
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_724,c_0_726]) ).

cnf(c_0_854,negated_conjecture,
    ( epred48_0
    | epred12_0
    | c3_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_570,c_0_193]) ).

cnf(c_0_855,negated_conjecture,
    ( hskp3
    | hskp13
    | ~ c2_1(a540)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_351]),c_0_352]) ).

cnf(c_0_856,negated_conjecture,
    ( epred42_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp3
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_727]),c_0_167])]) ).

cnf(c_0_857,negated_conjecture,
    ( epred56_0
    | c0_1(a496)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_679]),c_0_529]) ).

cnf(c_0_858,negated_conjecture,
    ( epred52_0
    | epred7_0
    | hskp9
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_728,c_0_729]) ).

cnf(c_0_859,negated_conjecture,
    ( epred55_0
    | epred34_0
    | hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_730,c_0_731]) ).

cnf(c_0_860,negated_conjecture,
    ( epred55_0
    | epred52_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_732,c_0_731]) ).

cnf(c_0_861,negated_conjecture,
    ( epred14_0
    | epred11_0
    | epred7_0
    | hskp6
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_381,c_0_733]) ).

cnf(c_0_862,negated_conjecture,
    ( epred51_0
    | epred50_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_503,c_0_256]) ).

cnf(c_0_863,negated_conjecture,
    ( epred49_0
    | epred45_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_644,c_0_276]) ).

cnf(c_0_864,negated_conjecture,
    ( epred51_0
    | c2_1(a540)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_351]),c_0_352]) ).

cnf(c_0_865,negated_conjecture,
    ( epred49_0
    | ~ c2_1(a528)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_276]),c_0_233]) ).

cnf(c_0_866,negated_conjecture,
    ( epred34_0
    | c3_1(a499)
    | hskp24
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_556]),c_0_557]) ).

cnf(c_0_867,negated_conjecture,
    ( epred27_0
    | epred12_0
    | c3_1(X1)
    | hskp4
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_387,c_0_193]) ).

cnf(c_0_868,negated_conjecture,
    ( epred27_0
    | epred10_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp4
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_387,c_0_265]) ).

cnf(c_0_869,negated_conjecture,
    ( epred27_0
    | c3_1(a499)
    | hskp4
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_556]),c_0_557]) ).

cnf(c_0_870,negated_conjecture,
    ( epred24_0
    | c3_1(a533)
    | hskp8
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_627,c_0_734]),c_0_696]) ).

cnf(c_0_871,negated_conjecture,
    ( epred21_0
    | c2_1(a538)
    | hskp10
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_459]),c_0_460]) ).

cnf(c_0_872,negated_conjecture,
    ( epred17_0
    | c2_1(a538)
    | hskp20
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_459]),c_0_460]) ).

cnf(c_0_873,negated_conjecture,
    ( epred14_0
    | epred11_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_183,c_0_535]) ).

cnf(c_0_874,negated_conjecture,
    ( epred11_0
    | c0_1(a496)
    | hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_535]),c_0_529]) ).

cnf(c_0_875,negated_conjecture,
    ( epred50_0
    | epred14_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_183,c_0_256]) ).

cnf(c_0_876,negated_conjecture,
    ( epred50_0
    | c2_1(a495)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_256]),c_0_629]) ).

cnf(c_0_877,negated_conjecture,
    ( epred50_0
    | c2_1(a502)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_256]),c_0_562]) ).

cnf(c_0_878,negated_conjecture,
    ( epred5_0
    | c2_1(a538)
    | hskp22
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_459]),c_0_461]) ).

cnf(c_0_879,negated_conjecture,
    ( epred5_0
    | c3_1(a510)
    | hskp22
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_266]),c_0_264]) ).

cnf(c_0_880,negated_conjecture,
    ( epred45_0
    | ~ c2_1(a540)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_351]),c_0_352]) ).

cnf(c_0_881,negated_conjecture,
    ( epred28_0
    | c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_220]),c_0_221]) ).

cnf(c_0_882,negated_conjecture,
    ( epred20_0
    | ~ c2_1(a540)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_351]),c_0_353]) ).

cnf(c_0_883,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp18
    | hskp19 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_736,c_0_167])]) ).

cnf(c_0_884,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10
    | hskp11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_737,c_0_167])]) ).

cnf(c_0_885,negated_conjecture,
    ( epred45_0
    | epred25_0
    | hskp13
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_738,c_0_739]) ).

cnf(c_0_886,negated_conjecture,
    ( epred28_0
    | hskp13
    | hskp26
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_740,c_0_741]) ).

cnf(c_0_887,negated_conjecture,
    ( epred18_0
    | hskp13
    | hskp30
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_742,c_0_743]) ).

cnf(c_0_888,negated_conjecture,
    ( epred41_0
    | hskp5
    | hskp13
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_680]),c_0_745]) ).

cnf(c_0_889,negated_conjecture,
    ( epred49_0
    | epred39_0
    | epred14_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_604,c_0_746]) ).

cnf(c_0_890,negated_conjecture,
    ( epred49_0
    | epred39_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_606,c_0_747]) ).

cnf(c_0_891,negated_conjecture,
    ( ~ epred26_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_748,c_0_454]),c_0_172]) ).

cnf(c_0_892,negated_conjecture,
    ( epred52_0
    | epred39_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_749,c_0_750]) ).

cnf(c_0_893,negated_conjecture,
    ( epred36_0
    | hskp20
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_751,c_0_231]),c_0_230]),c_0_229]) ).

cnf(c_0_894,negated_conjecture,
    ( epred26_0
    | epred16_0
    | epred2_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_658,c_0_752]) ).

cnf(c_0_895,negated_conjecture,
    ( epred26_0
    | epred2_0
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_753,c_0_329]) ).

cnf(c_0_896,negated_conjecture,
    ( epred37_0
    | hskp19
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_620,c_0_754]) ).

cnf(c_0_897,negated_conjecture,
    ( hskp4
    | hskp5
    | ~ c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_409]),c_0_408]) ).

cnf(c_0_898,negated_conjecture,
    ( ~ epred51_0
    | ~ epred14_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_755,c_0_405]),c_0_306]),c_0_172]) ).

cnf(c_0_899,negated_conjecture,
    ( epred52_0
    | epred18_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_453]),c_0_757]) ).

cnf(c_0_900,negated_conjecture,
    ( epred52_0
    | epred51_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_757,c_0_758]) ).

cnf(c_0_901,negated_conjecture,
    ( ~ epred28_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_759,c_0_321]),c_0_282]) ).

cnf(c_0_902,negated_conjecture,
    ( epred52_0
    | epred35_0
    | epred27_0
    | ~ epred55_0
    | ~ epred51_0 ),
    inference(spm,[status(thm)],[c_0_760,c_0_761]) ).

cnf(c_0_903,negated_conjecture,
    ( epred52_0
    | epred8_0
    | hskp27
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_699,c_0_762]) ).

cnf(c_0_904,negated_conjecture,
    ( epred48_0
    | epred3_0
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_763,c_0_396]) ).

cnf(c_0_905,negated_conjecture,
    ( epred54_0
    | epred48_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_764,c_0_765]) ).

cnf(c_0_906,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ c1_1(a500)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_413]),c_0_414]) ).

cnf(c_0_907,negated_conjecture,
    ( epred37_0
    | c1_1(a500)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_413]),c_0_414]) ).

cnf(c_0_908,negated_conjecture,
    ( epred52_0
    | epred40_0
    | epred27_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_767]),c_0_567]) ).

cnf(c_0_909,negated_conjecture,
    ( epred41_0
    | hskp5
    | hskp13
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_745,c_0_648]) ).

cnf(c_0_910,negated_conjecture,
    ( epred47_0
    | epred43_0
    | hskp2
    | hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_768,c_0_260]),c_0_769]) ).

cnf(c_0_911,negated_conjecture,
    ( epred50_0
    | epred47_0
    | ~ epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_770,c_0_771]),c_0_772]) ).

cnf(c_0_912,negated_conjecture,
    ( epred28_0
    | hskp13
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_421]),c_0_647]) ).

cnf(c_0_913,negated_conjecture,
    ( epred51_0
    | epred12_0
    | hskp8
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_664,c_0_350]) ).

cnf(c_0_914,negated_conjecture,
    ( epred12_0
    | epred8_0
    | hskp8
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_773,c_0_350]) ).

cnf(c_0_915,negated_conjecture,
    ( epred22_0
    | epred14_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_420,c_0_774]) ).

cnf(c_0_916,negated_conjecture,
    ( epred44_0
    | hskp31
    | ~ c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_409]),c_0_408]) ).

cnf(c_0_917,negated_conjecture,
    ( epred52_0
    | epred17_0
    | hskp20
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_728,c_0_776]) ).

cnf(c_0_918,negated_conjecture,
    ( epred50_0
    | epred6_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_777,c_0_634]) ).

cnf(c_0_919,negated_conjecture,
    ( epred56_0
    | epred49_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_778,c_0_779]) ).

cnf(c_0_920,negated_conjecture,
    ( epred49_0
    | epred1_0
    | hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_331,c_0_631]) ).

cnf(c_0_921,negated_conjecture,
    ( epred51_0
    | epred25_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_780,c_0_418]) ).

cnf(c_0_922,negated_conjecture,
    ( epred56_0
    | epred25_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_781,c_0_543]) ).

cnf(c_0_923,negated_conjecture,
    ( epred52_0
    | epred10_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_728,c_0_782]) ).

cnf(c_0_924,negated_conjecture,
    ( epred52_0
    | epred26_0
    | hskp7
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_451,c_0_783]) ).

cnf(c_0_925,negated_conjecture,
    ( epred51_0
    | epred13_0
    | hskp28
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_780,c_0_378]) ).

cnf(c_0_926,negated_conjecture,
    ( epred41_0
    | epred26_0
    | epred22_0
    | hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_655,c_0_784]) ).

cnf(c_0_927,negated_conjecture,
    ( epred40_0
    | hskp15
    | ~ c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_409]),c_0_408]) ).

cnf(c_0_928,negated_conjecture,
    ( epred34_0
    | epred21_0
    | epred12_0
    | hskp10
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_785,c_0_355]) ).

cnf(c_0_929,negated_conjecture,
    ( epred53_0
    | epred34_0
    | hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_730,c_0_585]) ).

cnf(c_0_930,negated_conjecture,
    ( epred30_0
    | c0_1(a527)
    | hskp2
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_706]),c_0_221]) ).

cnf(c_0_931,negated_conjecture,
    ( ~ epred50_0
    | ~ epred49_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_786,c_0_225]),c_0_208]),c_0_322]) ).

cnf(c_0_932,negated_conjecture,
    ( epred53_0
    | epred27_0
    | epred22_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_787,c_0_788]) ).

cnf(c_0_933,negated_conjecture,
    ( epred49_0
    | epred14_0
    | epred8_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_397,c_0_789]) ).

cnf(c_0_934,negated_conjecture,
    ( epred54_0
    | epred49_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_397,c_0_765]) ).

cnf(c_0_935,negated_conjecture,
    ( epred50_0
    | epred39_0
    | epred21_0
    | epred14_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_790,c_0_791]) ).

cnf(c_0_936,negated_conjecture,
    ( epred37_0
    | epred17_0
    | hskp20
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_792,c_0_793]) ).

cnf(c_0_937,negated_conjecture,
    ( epred11_0
    | c2_1(a495)
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_535]),c_0_629]) ).

cnf(c_0_938,negated_conjecture,
    ( epred50_0
    | epred25_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_514,c_0_794]) ).

cnf(c_0_939,negated_conjecture,
    ( c2_1(a522)
    | ~ hskp31 ),
    c_0_795 ).

cnf(c_0_940,negated_conjecture,
    ( c0_1(a522)
    | ~ hskp31 ),
    c_0_796 ).

cnf(c_0_941,negated_conjecture,
    ( c1_1(a522)
    | ~ hskp31 ),
    c_0_797 ).

cnf(c_0_942,negated_conjecture,
    ( epred31_0
    | ~ c0_1(a512)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_550]),c_0_549]) ).

cnf(c_0_943,negated_conjecture,
    ( epred22_0
    | c0_1(a512)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_548]),c_0_549]) ).

cnf(c_0_944,negated_conjecture,
    ( epred25_0
    | ~ c0_1(a530)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_798]),c_0_799]) ).

cnf(c_0_945,negated_conjecture,
    ( epred28_0
    | c0_1(a530)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_800]),c_0_799]) ).

cnf(c_0_946,negated_conjecture,
    ( epred25_0
    | epred12_0
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_514,c_0_801]) ).

cnf(c_0_947,negated_conjecture,
    ( epred31_0
    | epred12_0
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_802,c_0_289]) ).

cnf(c_0_948,negated_conjecture,
    ( epred55_0
    | epred8_0
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_637,c_0_375]) ).

cnf(c_0_949,negated_conjecture,
    ( epred54_0
    | epred50_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_474,c_0_256]) ).

cnf(c_0_950,negated_conjecture,
    ( epred14_0
    | epred2_0
    | c1_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_183,c_0_388]) ).

cnf(c_0_951,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    c_0_803 ).

cnf(c_0_952,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    c_0_804 ).

cnf(c_0_953,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    c_0_805 ).

cnf(c_0_954,negated_conjecture,
    ( c3_1(X2)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    c_0_806 ).

cnf(c_0_955,negated_conjecture,
    ( c3_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    c_0_807 ).

cnf(c_0_956,negated_conjecture,
    ( c2_1(X2)
    | hskp31
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    c_0_808 ).

cnf(c_0_957,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    c_0_809 ).

cnf(c_0_958,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    c_0_810 ).

cnf(c_0_959,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | hskp15
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    c_0_811 ).

cnf(c_0_960,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp17
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    c_0_812 ).

cnf(c_0_961,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    c_0_813 ).

cnf(c_0_962,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp24
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    c_0_814 ).

cnf(c_0_963,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | hskp29
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    c_0_815 ).

cnf(c_0_964,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    c_0_816 ).

cnf(c_0_965,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    c_0_817 ).

cnf(c_0_966,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp10
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    c_0_818 ).

cnf(c_0_967,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    c_0_819 ).

cnf(c_0_968,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp21
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    c_0_820 ).

cnf(c_0_969,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    c_0_821 ).

cnf(c_0_970,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    c_0_822 ).

cnf(c_0_971,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    c_0_823 ).

cnf(c_0_972,negated_conjecture,
    ( epred20_0
    | c0_1(a533)
    | hskp13
    | hskp30
    | ~ c2_1(a533)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_735,c_0_824]) ).

cnf(c_0_973,negated_conjecture,
    ( epred38_0
    | hskp17
    | hskp13
    | hskp30
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_825,c_0_743]) ).

cnf(c_0_974,negated_conjecture,
    ( epred1_0
    | c3_1(a527)
    | c1_1(a527)
    | hskp1
    | hskp13
    | hskp30
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_528,c_0_743]) ).

cnf(c_0_975,negated_conjecture,
    ( epred38_0
    | hskp17
    | hskp13
    | hskp30
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_826,c_0_827]) ).

cnf(c_0_976,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred7_0
    | epred52_0
    | epred38_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_828,c_0_829]) ).

cnf(c_0_977,negated_conjecture,
    ( epred52_0
    | epred35_0
    | epred8_0
    | hskp27
    | hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_830,c_0_831]) ).

cnf(c_0_978,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred14_0
    | ~ epred52_0
    | ~ epred50_0 ),
    inference(spm,[status(thm)],[c_0_717,c_0_832]) ).

cnf(c_0_979,negated_conjecture,
    ( epred22_0
    | epred12_0
    | hskp8
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_349,c_0_833]) ).

cnf(c_0_980,negated_conjecture,
    ( epred22_0
    | epred12_0
    | epred49_0
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_349,c_0_404]) ).

cnf(c_0_981,negated_conjecture,
    ( epred22_0
    | epred12_0
    | epred31_0
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_349,c_0_834]) ).

cnf(c_0_982,negated_conjecture,
    ( epred46_0
    | c3_1(a520)
    | hskp2
    | hskp12
    | hskp20
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_533,c_0_332]) ).

cnf(c_0_983,negated_conjecture,
    ( epred30_0
    | hskp2
    | epred26_0
    | epred15_0
    | hskp4
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_835,c_0_836]) ).

cnf(c_0_984,negated_conjecture,
    ( epred51_0
    | epred47_0
    | epred32_0
    | epred22_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_837,c_0_838]) ).

cnf(c_0_985,negated_conjecture,
    ( epred49_0
    | c0_1(a495)
    | hskp16
    | hskp28
    | hskp8
    | hskp12
    | ~ c1_1(a495)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_839,c_0_840]) ).

cnf(c_0_986,negated_conjecture,
    ( hskp10
    | hskp15
    | hskp6
    | hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_490,c_0_841]) ).

cnf(c_0_987,negated_conjecture,
    ( epred53_0
    | epred38_0
    | epred25_0
    | epred14_0
    | ~ epred52_0
    | ~ epred50_0 ),
    inference(spm,[status(thm)],[c_0_717,c_0_842]) ).

cnf(c_0_988,negated_conjecture,
    ( epred25_0
    | epred28_0
    | epred12_0
    | epred8_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_442,c_0_843]) ).

cnf(c_0_989,negated_conjecture,
    ( epred28_0
    | epred22_0
    | epred34_0
    | ~ epred52_0
    | ~ epred50_0 ),
    inference(spm,[status(thm)],[c_0_844,c_0_845]) ).

cnf(c_0_990,negated_conjecture,
    ( epred35_0
    | epred22_0
    | epred24_0
    | epred1_0
    | hskp8
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_846,c_0_847]) ).

cnf(c_0_991,negated_conjecture,
    ( epred25_0
    | epred6_0
    | c2_1(a534)
    | hskp4
    | epred56_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_848,c_0_849]) ).

cnf(c_0_992,negated_conjecture,
    ( epred49_0
    | epred12_0
    | hskp19
    | hskp27
    | epred1_0
    | hskp1
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_850,c_0_631]) ).

cnf(c_0_993,negated_conjecture,
    ( hskp19
    | hskp27
    | epred8_0
    | c0_1(a540)
    | ~ hskp22
    | ~ c1_1(a540) ),
    inference(spm,[status(thm)],[c_0_851,c_0_375]) ).

cnf(c_0_994,negated_conjecture,
    ( epred50_0
    | epred43_0
    | epred10_0
    | epred8_0
    | epred46_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_852,c_0_853]) ).

cnf(c_0_995,negated_conjecture,
    ( epred48_0
    | epred12_0
    | c3_1(a520)
    | hskp0
    | epred3_0
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_854,c_0_396]) ).

cnf(c_0_996,negated_conjecture,
    ( hskp3
    | hskp13
    | epred8_0
    | c0_1(a540)
    | ~ hskp22
    | ~ c1_1(a540) ),
    inference(spm,[status(thm)],[c_0_855,c_0_375]) ).

cnf(c_0_997,negated_conjecture,
    ( epred42_0
    | c2_1(a496)
    | c1_1(a496)
    | hskp3
    | epred56_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_856,c_0_857]) ).

cnf(c_0_998,negated_conjecture,
    ( epred52_0
    | epred7_0
    | hskp9
    | epred55_0
    | epred34_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_858,c_0_859]) ).

cnf(c_0_999,negated_conjecture,
    ( epred55_0
    | epred52_0
    | epred14_0
    | epred11_0
    | epred7_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_860,c_0_861]) ).

cnf(c_0_1000,negated_conjecture,
    ( epred51_0
    | epred50_0
    | c0_1(a498)
    | ~ hskp4
    | ~ c1_1(a498) ),
    inference(spm,[status(thm)],[c_0_468,c_0_862]) ).

cnf(c_0_1001,negated_conjecture,
    ( epred49_0
    | epred45_0
    | epred51_0
    | ~ c1_1(a540)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_863,c_0_864]) ).

cnf(c_0_1002,negated_conjecture,
    ( epred55_0
    | c0_1(a540)
    | epred51_0
    | ~ c1_1(a540)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_637,c_0_864]) ).

cnf(c_0_1003,negated_conjecture,
    ( epred49_0
    | epred12_0
    | ~ hskp15
    | ~ c1_1(a528)
    | ~ c0_1(a528) ),
    inference(spm,[status(thm)],[c_0_865,c_0_193]) ).

cnf(c_0_1004,negated_conjecture,
    ( epred37_0
    | c1_1(a499)
    | epred34_0
    | hskp24
    | ~ c2_1(a499)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_659,c_0_866]) ).

cnf(c_0_1005,negated_conjecture,
    ( epred27_0
    | epred12_0
    | c3_1(a528)
    | hskp4
    | ~ c0_1(a528)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_867,c_0_233]) ).

cnf(c_0_1006,negated_conjecture,
    ( epred27_0
    | epred10_0
    | c3_1(a520)
    | c1_1(a520)
    | hskp4
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_868,c_0_284]) ).

cnf(c_0_1007,negated_conjecture,
    ( epred25_0
    | c1_1(a499)
    | epred27_0
    | hskp4
    | ~ c0_1(a499)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_341,c_0_869]) ).

cnf(c_0_1008,negated_conjecture,
    ( epred46_0
    | c3_1(a520)
    | hskp2
    | epred26_0
    | hskp7
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_533,c_0_783]) ).

cnf(c_0_1009,negated_conjecture,
    ( epred15_0
    | c3_1(a520)
    | hskp23
    | epred26_0
    | hskp7
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_243,c_0_783]) ).

cnf(c_0_1010,negated_conjecture,
    ( epred20_0
    | c0_1(a533)
    | epred24_0
    | hskp8
    | ~ c2_1(a533)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_735,c_0_870]) ).

cnf(c_0_1011,negated_conjecture,
    ( epred38_0
    | c3_1(a538)
    | hskp17
    | epred21_0
    | hskp10
    | ~ c0_1(a538)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_417,c_0_871]) ).

cnf(c_0_1012,negated_conjecture,
    ( epred38_0
    | c3_1(a538)
    | hskp17
    | epred17_0
    | hskp20
    | ~ c0_1(a538)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_417,c_0_872]) ).

cnf(c_0_1013,negated_conjecture,
    ( epred49_0
    | epred8_0
    | c0_1(a495)
    | ~ hskp1
    | ~ c1_1(a495) ),
    inference(spm,[status(thm)],[c_0_778,c_0_375]) ).

cnf(c_0_1014,negated_conjecture,
    ( epred14_0
    | epred11_0
    | c1_1(a536)
    | c0_1(a536)
    | hskp6
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_498,c_0_873]) ).

cnf(c_0_1015,negated_conjecture,
    ( epred5_0
    | c3_1(a496)
    | c2_1(a496)
    | hskp22
    | epred11_0
    | hskp6
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_293,c_0_874]) ).

cnf(c_0_1016,negated_conjecture,
    ( epred1_0
    | c3_1(a496)
    | c1_1(a496)
    | hskp1
    | epred11_0
    | hskp6
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_528,c_0_874]) ).

cnf(c_0_1017,negated_conjecture,
    ( epred50_0
    | epred14_0
    | c1_1(a536)
    | c0_1(a536)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_498,c_0_875]) ).

cnf(c_0_1018,negated_conjecture,
    ( epred55_0
    | c0_1(a495)
    | epred50_0
    | ~ c1_1(a495)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_637,c_0_876]) ).

cnf(c_0_1019,negated_conjecture,
    ( epred16_0
    | c3_1(a495)
    | hskp21
    | epred50_0
    | ~ c1_1(a495)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_462,c_0_876]) ).

cnf(c_0_1020,negated_conjecture,
    ( epred28_0
    | c1_1(a502)
    | c0_1(a502)
    | epred50_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_345,c_0_877]) ).

cnf(c_0_1021,negated_conjecture,
    ( epred34_0
    | c3_1(a538)
    | hskp24
    | epred5_0
    | hskp22
    | ~ c0_1(a538)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_297,c_0_878]) ).

cnf(c_0_1022,negated_conjecture,
    ( epred27_0
    | c3_1(a538)
    | hskp4
    | epred5_0
    | hskp22
    | ~ c0_1(a538)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_387,c_0_878]) ).

cnf(c_0_1023,negated_conjecture,
    ( epred35_0
    | c2_1(a510)
    | epred5_0
    | hskp22
    | ~ c0_1(a510)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_374,c_0_879]) ).

cnf(c_0_1024,negated_conjecture,
    ( epred25_0
    | c1_1(a510)
    | epred5_0
    | hskp22
    | ~ c0_1(a510)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_341,c_0_879]) ).

cnf(c_0_1025,negated_conjecture,
    ( epred17_0
    | c2_1(a496)
    | c1_1(a496)
    | hskp20
    | epred50_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_678,c_0_634]) ).

cnf(c_0_1026,negated_conjecture,
    ( epred5_0
    | c3_1(a496)
    | c2_1(a496)
    | hskp22
    | epred50_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_293,c_0_634]) ).

cnf(c_0_1027,negated_conjecture,
    ( epred45_0
    | epred8_0
    | c0_1(a540)
    | ~ hskp22
    | ~ c1_1(a540) ),
    inference(spm,[status(thm)],[c_0_880,c_0_375]) ).

cnf(c_0_1028,negated_conjecture,
    ( epred1_0
    | c3_1(a527)
    | c1_1(a527)
    | hskp1
    | epred28_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_528,c_0_881]) ).

cnf(c_0_1029,negated_conjecture,
    ( epred44_0
    | c2_1(a509)
    | hskp31
    | epred25_0
    | ~ c0_1(a509)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_775,c_0_418]) ).

cnf(c_0_1030,negated_conjecture,
    ( epred20_0
    | epred8_0
    | c0_1(a540)
    | ~ hskp22
    | ~ c1_1(a540) ),
    inference(spm,[status(thm)],[c_0_882,c_0_375]) ).

cnf(c_0_1031,negated_conjecture,
    ( epred46_0
    | c3_1(a520)
    | hskp2
    | epred18_0
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_533,c_0_663]) ).

cnf(c_0_1032,negated_conjecture,
    ( epred46_0
    | c3_1(a520)
    | hskp2
    | epred6_0
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_533,c_0_348]) ).

cnf(c_0_1033,negated_conjecture,
    ( epred46_0
    | c3_1(a520)
    | hskp2
    | epred1_0
    | hskp1
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_533,c_0_631]) ).

cnf(c_0_1034,negated_conjecture,
    ( c2_1(a496)
    | c1_1(a496)
    | hskp18
    | hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_531,c_0_883]) ).

cnf(c_0_1035,negated_conjecture,
    ( c2_1(a495)
    | c0_1(a495)
    | hskp10
    | hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_630,c_0_884]) ).

cnf(c_0_1036,negated_conjecture,
    ( c2_1(a559)
    | c0_1(a559)
    | hskp10
    | hskp11
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_255,c_0_884]) ).

cnf(c_0_1037,negated_conjecture,
    ( epred50_0
    | epred45_0
    | epred25_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_314,c_0_885]) ).

cnf(c_0_1038,negated_conjecture,
    ( epred50_0
    | epred28_0
    | hskp13
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_314,c_0_886]) ).

cnf(c_0_1039,negated_conjecture,
    ( epred18_0
    | hskp6
    | hskp13
    | hskp30 ),
    inference(spm,[status(thm)],[c_0_887,c_0_329]) ).

cnf(c_0_1040,negated_conjecture,
    ( epred15_0
    | epred14_0
    | epred12_0
    | hskp10
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_356,c_0_598]) ).

cnf(c_0_1041,negated_conjecture,
    ( epred41_0
    | epred26_0
    | hskp7
    | hskp13
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_655,c_0_888]) ).

cnf(c_0_1042,negated_conjecture,
    ( epred49_0
    | epred39_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_889,c_0_890]) ).

cnf(c_0_1043,negated_conjecture,
    ( epred52_0
    | epred39_0
    | ~ epred26_0 ),
    inference(spm,[status(thm)],[c_0_891,c_0_892]) ).

cnf(c_0_1044,negated_conjecture,
    ( epred52_0
    | epred51_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_664,c_0_554]) ).

cnf(c_0_1045,negated_conjecture,
    ( epred52_0
    | epred36_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_893,c_0_554]) ).

cnf(c_0_1046,negated_conjecture,
    ( epred26_0
    | epred16_0
    | epred2_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_894,c_0_895]) ).

cnf(c_0_1047,negated_conjecture,
    ( epred52_0
    | epred37_0
    | epred8_0
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_699,c_0_896]) ).

cnf(c_0_1048,negated_conjecture,
    ( epred8_0
    | hskp5
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_897,c_0_600]),c_0_567]) ).

cnf(c_0_1049,negated_conjecture,
    ( epred52_0
    | epred18_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_898,c_0_899]),c_0_900]) ).

cnf(c_0_1050,negated_conjecture,
    ( epred52_0
    | epred35_0
    | ~ epred55_0
    | ~ epred51_0
    | ~ epred28_0 ),
    inference(spm,[status(thm)],[c_0_901,c_0_902]) ).

cnf(c_0_1051,negated_conjecture,
    ( epred52_0
    | epred25_0
    | epred8_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_442,c_0_903]) ).

cnf(c_0_1052,negated_conjecture,
    ( epred54_0
    | epred48_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_904]),c_0_905]) ).

cnf(c_0_1053,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_548]),c_0_549]),c_0_550]) ).

cnf(c_0_1054,negated_conjecture,
    ( epred37_0
    | hskp17
    | hskp22
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_906,c_0_907]) ).

cnf(c_0_1055,negated_conjecture,
    ( epred52_0
    | epred40_0
    | epred27_0
    | ~ epred51_0
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_898,c_0_908]) ).

cnf(c_0_1056,negated_conjecture,
    ( epred41_0
    | epred18_0
    | hskp13
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_661,c_0_909]) ).

cnf(c_0_1057,negated_conjecture,
    ( epred50_0
    | epred47_0
    | hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_910]),c_0_911]) ).

cnf(c_0_1058,negated_conjecture,
    ( epred51_0
    | epred28_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_912,c_0_913]) ).

cnf(c_0_1059,negated_conjecture,
    ( epred28_0
    | epred12_0
    | epred8_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_912,c_0_914]) ).

cnf(c_0_1060,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_915,c_0_423]) ).

cnf(c_0_1061,negated_conjecture,
    ( epred44_0
    | epred8_0
    | hskp31
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_916,c_0_600]) ).

cnf(c_0_1062,negated_conjecture,
    ( epred52_0
    | epred34_0
    | epred17_0
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_917,c_0_355]) ).

cnf(c_0_1063,negated_conjecture,
    ( epred52_0
    | epred34_0
    | epred7_0
    | hskp9
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_858,c_0_355]) ).

cnf(c_0_1064,negated_conjecture,
    ( epred43_0
    | epred22_0
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_635,c_0_287]) ).

cnf(c_0_1065,negated_conjecture,
    ( epred50_0
    | epred43_0
    | epred6_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_918,c_0_769]) ).

cnf(c_0_1066,negated_conjecture,
    ( epred52_0
    | epred14_0
    | epred8_0
    | epred3_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_588,c_0_552]) ).

cnf(c_0_1067,negated_conjecture,
    ( epred56_0
    | epred49_0
    | epred1_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_919,c_0_920]) ).

cnf(c_0_1068,negated_conjecture,
    ( epred56_0
    | epred51_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_921,c_0_922]) ).

cnf(c_0_1069,negated_conjecture,
    ( epred52_0
    | epred34_0
    | epred10_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_923,c_0_355]) ).

cnf(c_0_1070,negated_conjecture,
    ( epred52_0
    | epred26_0
    | epred2_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_658,c_0_924]) ).

cnf(c_0_1071,negated_conjecture,
    ( epred52_0
    | epred6_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_451,c_0_348]) ).

cnf(c_0_1072,negated_conjecture,
    ( epred51_0
    | epred45_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_880,c_0_864]) ).

cnf(c_0_1073,negated_conjecture,
    ( epred51_0
    | epred15_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_664,c_0_427]) ).

cnf(c_0_1074,negated_conjecture,
    ( epred51_0
    | epred13_0
    | hskp13
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_925,c_0_515]) ).

cnf(c_0_1075,negated_conjecture,
    ( epred41_0
    | epred26_0
    | epred22_0
    | epred2_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_658,c_0_926]) ).

cnf(c_0_1076,negated_conjecture,
    ( epred40_0
    | epred8_0
    | hskp15
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_927,c_0_600]) ).

cnf(c_0_1077,negated_conjecture,
    ( epred34_0
    | epred25_0
    | epred21_0
    | epred12_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_514,c_0_928]) ).

cnf(c_0_1078,negated_conjecture,
    ( epred53_0
    | epred34_0
    | epred5_0
    | hskp22
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_354,c_0_929]) ).

cnf(c_0_1079,negated_conjecture,
    ( epred30_0
    | epred27_0
    | hskp2
    | hskp4
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_485,c_0_930]) ).

cnf(c_0_1080,negated_conjecture,
    ( epred53_0
    | epred27_0
    | epred22_0
    | ~ epred50_0
    | ~ epred49_0 ),
    inference(spm,[status(thm)],[c_0_931,c_0_932]) ).

cnf(c_0_1081,negated_conjecture,
    ( epred49_0
    | epred14_0
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_496]),c_0_933]) ).

cnf(c_0_1082,negated_conjecture,
    ( epred54_0
    | epred49_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_496]),c_0_934]) ).

cnf(c_0_1083,negated_conjecture,
    ( epred50_0
    | epred39_0
    | epred21_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_935]),c_0_580]) ).

cnf(c_0_1084,negated_conjecture,
    ( epred37_0
    | epred17_0
    | hskp10
    | hskp20
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_936,c_0_260]) ).

cnf(c_0_1085,negated_conjecture,
    ( epred49_0
    | epred11_0
    | hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_778,c_0_937]) ).

cnf(c_0_1086,negated_conjecture,
    ( epred39_0
    | epred15_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_452,c_0_427]) ).

cnf(c_0_1087,negated_conjecture,
    ( epred53_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_411]),c_0_628]),c_0_629]) ).

cnf(c_0_1088,negated_conjecture,
    ( epred50_0
    | epred25_0
    | ~ epred43_0 ),
    inference(spm,[status(thm)],[c_0_674,c_0_938]) ).

cnf(c_0_1089,negated_conjecture,
    ( epred35_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_254]),c_0_253]),c_0_252]) ).

cnf(c_0_1090,negated_conjecture,
    ( epred31_0
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_939]),c_0_940]),c_0_941]) ).

cnf(c_0_1091,negated_conjecture,
    ( epred31_0
    | epred22_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_942,c_0_943]) ).

cnf(c_0_1092,negated_conjecture,
    ( epred28_0
    | epred25_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_944,c_0_945]) ).

cnf(c_0_1093,negated_conjecture,
    ( epred25_0
    | epred12_0
    | epred8_0
    | ~ epred50_0
    | ~ epred49_0 ),
    inference(spm,[status(thm)],[c_0_931,c_0_946]) ).

cnf(c_0_1094,negated_conjecture,
    ( epred31_0
    | epred22_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_349,c_0_947]) ).

cnf(c_0_1095,negated_conjecture,
    ( epred20_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_343]),c_0_346]),c_0_344]) ).

cnf(c_0_1096,negated_conjecture,
    ( epred6_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_285]),c_0_459]),c_0_460]) ).

cnf(c_0_1097,negated_conjecture,
    ( epred1_0
    | hskp1
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_459]),c_0_460]),c_0_461]) ).

cnf(c_0_1098,negated_conjecture,
    ( epred55_0
    | epred8_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_352]),c_0_353]) ).

cnf(c_0_1099,negated_conjecture,
    ( epred54_0
    | epred50_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_949]),c_0_500]) ).

cnf(c_0_1100,negated_conjecture,
    ( epred25_0
    | epred6_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_632]),c_0_266]) ).

cnf(c_0_1101,negated_conjecture,
    ( epred14_0
    | epred2_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_950]),c_0_500]) ).

cnf(c_0_1102,negated_conjecture,
    ( ~ epred52_0
    | ~ epred25_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_951,c_0_247]),c_0_279]),c_0_169]) ).

cnf(c_0_1103,negated_conjecture,
    ( ~ epred56_0
    | ~ epred55_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_952,c_0_582]),c_0_534]),c_0_537]) ).

cnf(c_0_1104,negated_conjecture,
    ( ~ epred54_0
    | ~ epred53_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_953,c_0_247]),c_0_336]),c_0_376]) ).

cnf(c_0_1105,negated_conjecture,
    ( ~ epred48_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_954,c_0_473]),c_0_163]) ).

cnf(c_0_1106,negated_conjecture,
    ( ~ epred47_0
    | ~ epred46_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_955,c_0_434]),c_0_163]) ).

cnf(c_0_1107,negated_conjecture,
    ( ~ epred45_0
    | ~ epred44_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_956,c_0_677]),c_0_537]) ).

cnf(c_0_1108,negated_conjecture,
    ( ~ epred42_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_957,c_0_727]),c_0_489]) ).

cnf(c_0_1109,negated_conjecture,
    ( ~ epred41_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_958,c_0_484]),c_0_489]) ).

cnf(c_0_1110,negated_conjecture,
    ( ~ epred40_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_959,c_0_307]),c_0_641]) ).

cnf(c_0_1111,negated_conjecture,
    ( ~ epred39_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_960,c_0_342]),c_0_201]) ).

cnf(c_0_1112,negated_conjecture,
    ( ~ epred37_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_961,c_0_654]),c_0_564]) ).

cnf(c_0_1113,negated_conjecture,
    ( ~ epred35_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_962,c_0_239]),c_0_305]) ).

cnf(c_0_1114,negated_conjecture,
    ( ~ epred32_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_963,c_0_406]),c_0_279]) ).

cnf(c_0_1115,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_964,c_0_608]),c_0_489]) ).

cnf(c_0_1116,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_965,c_0_524]),c_0_279]) ).

cnf(c_0_1117,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_966,c_0_323]),c_0_169]) ).

cnf(c_0_1118,negated_conjecture,
    ( ~ epred18_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_967,c_0_581]),c_0_466]) ).

cnf(c_0_1119,negated_conjecture,
    ( ~ epred16_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_968,c_0_369]),c_0_214]) ).

cnf(c_0_1120,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_969,c_0_435]),c_0_174]) ).

cnf(c_0_1121,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_970,c_0_359]),c_0_306]) ).

cnf(c_0_1122,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_971,c_0_429]),c_0_322]) ).

cnf(c_0_1123,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp2 ),
    clause39 ).

cnf(c_0_1124,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_972,c_0_973,c_0_974,c_0_975,c_0_976,c_0_977,c_0_978,c_0_979,c_0_980,c_0_981,c_0_982,c_0_983,c_0_984,c_0_985,c_0_986,c_0_987,c_0_988,c_0_989,c_0_990,c_0_991,c_0_992,c_0_993,c_0_994,c_0_995,c_0_996,c_0_997,c_0_998,c_0_999,c_0_1000,c_0_1001,c_0_1002,c_0_1003,c_0_1004,c_0_1005,c_0_1006,c_0_1007,c_0_1008,c_0_1009,c_0_1010,c_0_1011,c_0_1012,c_0_1013,c_0_1014,c_0_1015,c_0_1016,c_0_1017,c_0_1018,c_0_1019,c_0_1020,c_0_1021,c_0_1022,c_0_1023,c_0_1024,c_0_1025,c_0_1026,c_0_1027,c_0_1028,c_0_1029,c_0_1030,c_0_1031,c_0_1032,c_0_1033,c_0_1034,c_0_1035,c_0_1036,c_0_1037,c_0_1038,c_0_739,c_0_1039,c_0_829,c_0_1040,c_0_1041,c_0_607,c_0_1042,c_0_1043,c_0_892,c_0_1044,c_0_1045,c_0_653,c_0_554,c_0_1046,c_0_559,c_0_1047,c_0_844,c_0_698,c_0_1048,c_0_1049,c_0_662,c_0_1050,c_0_1051,c_0_713,c_0_617,c_0_1052,c_0_1053,c_0_1054,c_0_1055,c_0_1056,c_0_1057,c_0_1058,c_0_1059,c_0_1060,c_0_423,c_0_726,c_0_1061,c_0_1062,c_0_1063,c_0_1064,c_0_1065,c_0_769,c_0_1066,c_0_1067,c_0_919,c_0_1068,c_0_1069,c_0_917,c_0_667,c_0_699,c_0_671,c_0_758,c_0_553,c_0_453,c_0_364,c_0_1070,c_0_1071,c_0_757,c_0_451,c_0_1072,c_0_1073,c_0_664,c_0_1074,c_0_921,c_0_1075,c_0_1076,c_0_618,c_0_513,c_0_893,c_0_1077,c_0_1078,c_0_426,c_0_1079,c_0_1080,c_0_587,c_0_1081,c_0_1082,c_0_783,c_0_655,c_0_1083,c_0_488,c_0_1084,c_0_936,c_0_560,c_0_397,c_0_1085,c_0_778,c_0_1086,c_0_590,c_0_639,c_0_536,c_0_828,c_0_571,c_0_1087,c_0_1088,c_0_794,c_0_314,c_0_354,c_0_918,c_0_576,c_0_1089,c_0_1090,c_0_1091,c_0_1092,c_0_518,c_0_647,c_0_1093,c_0_946,c_0_543,c_0_442,c_0_514,c_0_425,c_0_1094,c_0_349,c_0_915,c_0_1095,c_0_482,c_0_381,c_0_298,c_0_715,c_0_773,c_0_319,c_0_567,c_0_1096,c_0_1097,c_0_631,c_0_606,c_0_658,c_0_1098,c_0_1099,c_0_787,c_0_1100,c_0_1101,c_0_1102,c_0_1103,c_0_760,c_0_717,c_0_1104,c_0_898,c_0_931,c_0_1105,c_0_1106,c_0_1107,c_0_674,c_0_1108,c_0_1109,c_0_1110,c_0_1111,c_0_1112,c_0_1113,c_0_1114,c_0_1115,c_0_901,c_0_891,c_0_1116,c_0_1117,c_0_1118,c_0_1119,c_0_622,c_0_770,c_0_1120,c_0_578,c_0_1121,c_0_624,c_0_604,c_0_1122,c_0_630,c_0_629,c_0_531,c_0_529,c_0_530,c_0_470,c_0_558,c_0_563,c_0_562,c_0_252,c_0_264,c_0_267,c_0_275,c_0_222,c_0_221,c_0_244,c_0_696,c_0_408,c_0_501,c_0_500,c_0_461,c_0_353,c_0_258,c_0_257,c_0_556,c_0_695,c_0_628,c_0_469,c_0_233,c_0_352,c_0_557,c_0_253,c_0_266,c_0_284,c_0_234,c_0_459,c_0_1123,c_0_329,c_0_289,c_0_260,c_0_515,c_0_159]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN470-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 10:25:26 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  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/tmp/tmp.IT2eU3Bj0e/E---3.1_30817.p
% 35.57/5.04  # Version: 3.1.0
% 35.57/5.04  # Preprocessing class: FSLSSLSMSSSNFFN.
% 35.57/5.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.57/5.04  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 35.57/5.04  # Starting new_bool_3 with 300s (1) cores
% 35.57/5.04  # Starting new_bool_1 with 300s (1) cores
% 35.57/5.04  # Starting sh5l with 300s (1) cores
% 35.57/5.04  # sh5l with pid 30948 completed with status 0
% 35.57/5.04  # Result found by sh5l
% 35.57/5.04  # Preprocessing class: FSLSSLSMSSSNFFN.
% 35.57/5.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.57/5.04  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 35.57/5.04  # Starting new_bool_3 with 300s (1) cores
% 35.57/5.04  # Starting new_bool_1 with 300s (1) cores
% 35.57/5.04  # Starting sh5l with 300s (1) cores
% 35.57/5.04  # SinE strategy is gf500_gu_R04_F100_L20000
% 35.57/5.04  # Search class: FGHNF-FSMM00-SFFFFFNN
% 35.57/5.04  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 35.57/5.04  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 35.57/5.04  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 30959 completed with status 0
% 35.57/5.04  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 35.57/5.04  # Preprocessing class: FSLSSLSMSSSNFFN.
% 35.57/5.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.57/5.04  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 35.57/5.04  # Starting new_bool_3 with 300s (1) cores
% 35.57/5.04  # Starting new_bool_1 with 300s (1) cores
% 35.57/5.04  # Starting sh5l with 300s (1) cores
% 35.57/5.04  # SinE strategy is gf500_gu_R04_F100_L20000
% 35.57/5.04  # Search class: FGHNF-FSMM00-SFFFFFNN
% 35.57/5.04  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 35.57/5.04  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 35.57/5.04  # Preprocessing time       : 0.002 s
% 35.57/5.04  # SatCheck found unsatisfiable ground set
% 35.57/5.04  
% 35.57/5.04  # Proof found!
% 35.57/5.04  # SZS status Unsatisfiable
% 35.57/5.04  # SZS output start CNFRefutation
% See solution above
% 35.57/5.04  # Parsed axioms                        : 196
% 35.57/5.04  # Removed by relevancy pruning/SinE    : 0
% 35.57/5.04  # Initial clauses                      : 196
% 35.57/5.04  # Removed in clause preprocessing      : 0
% 35.57/5.04  # Initial clauses in saturation        : 196
% 35.57/5.04  # Processed clauses                    : 15280
% 35.57/5.04  # ...of these trivial                  : 0
% 35.57/5.04  # ...subsumed                          : 5280
% 35.57/5.04  # ...remaining for further processing  : 10000
% 35.57/5.04  # Other redundant clauses eliminated   : 0
% 35.57/5.04  # Clauses deleted for lack of memory   : 0
% 35.57/5.04  # Backward-subsumed                    : 2663
% 35.57/5.04  # Backward-rewritten                   : 56
% 35.57/5.04  # Generated clauses                    : 291311
% 35.57/5.04  # ...of the previous two non-redundant : 278532
% 35.57/5.04  # ...aggressively subsumed             : 0
% 35.57/5.04  # Contextual simplify-reflections      : 1134
% 35.57/5.04  # Paramodulations                      : 291218
% 35.57/5.04  # Factorizations                       : 0
% 35.57/5.04  # NegExts                              : 0
% 35.57/5.04  # Equation resolutions                 : 0
% 35.57/5.04  # Disequality decompositions           : 0
% 35.57/5.04  # Total rewrite steps                  : 90
% 35.57/5.04  # ...of those cached                   : 89
% 35.57/5.04  # Propositional unsat checks           : 2
% 35.57/5.04  #    Propositional check models        : 1
% 35.57/5.04  #    Propositional check unsatisfiable : 1
% 35.57/5.04  #    Propositional clauses             : 269400
% 35.57/5.04  #    Propositional clauses after purity: 267004
% 35.57/5.04  #    Propositional unsat core size     : 275
% 35.57/5.04  #    Propositional preprocessing time  : 0.000
% 35.57/5.04  #    Propositional encoding time       : 0.095
% 35.57/5.04  #    Propositional solver time         : 0.463
% 35.57/5.04  #    Success case prop preproc time    : 0.000
% 35.57/5.04  #    Success case prop encoding time   : 0.076
% 35.57/5.04  #    Success case prop solver time     : 0.415
% 35.57/5.04  # Current number of processed clauses  : 7244
% 35.57/5.04  #    Positive orientable unit clauses  : 1
% 35.57/5.04  #    Positive unorientable unit clauses: 0
% 35.57/5.04  #    Negative unit clauses             : 0
% 35.57/5.04  #    Non-unit-clauses                  : 7243
% 35.57/5.04  # Current number of unprocessed clauses: 262156
% 35.57/5.04  # ...number of literals in the above   : 1849614
% 35.57/5.04  # Current number of archived formulas  : 0
% 35.57/5.04  # Current number of archived clauses   : 2719
% 35.57/5.04  # Clause-clause subsumption calls (NU) : 17538903
% 35.57/5.04  # Rec. Clause-clause subsumption calls : 574240
% 35.57/5.04  # Non-unit clause-clause subsumptions  : 9127
% 35.57/5.04  # Unit Clause-clause subsumption calls : 14
% 35.57/5.04  # Rewrite failures with RHS unbound    : 0
% 35.57/5.04  # BW rewrite match attempts            : 1
% 35.57/5.04  # BW rewrite match successes           : 1
% 35.57/5.04  # Condensation attempts                : 15280
% 35.57/5.04  # Condensation successes               : 0
% 35.57/5.04  # Termbank termtop insertions          : 2740151
% 35.57/5.04  # Search garbage collected termcells   : 493
% 35.57/5.04  
% 35.57/5.04  # -------------------------------------------------
% 35.57/5.04  # User time                : 4.249 s
% 35.57/5.04  # System time              : 0.167 s
% 35.57/5.04  # Total time               : 4.416 s
% 35.57/5.04  # Maximum resident set size: 2448 pages
% 35.57/5.04  
% 35.57/5.04  # -------------------------------------------------
% 35.57/5.04  # User time                : 4.253 s
% 35.57/5.04  # System time              : 0.169 s
% 35.57/5.04  # Total time               : 4.422 s
% 35.57/5.04  # Maximum resident set size: 1888 pages
% 35.57/5.04  % E---3.1 exiting
% 35.57/5.04  % E exiting
%------------------------------------------------------------------------------