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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN479-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:25:01 PM UTC 2026

% Result   : Unsatisfiable 20.46s 3.54s
% Output   : CNFRefutation 20.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :  214
% Syntax   : Number of formulae    :  965 (   2 unt;   0 def)
%            Number of atoms       : 3902 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 4647 (1710   ~;2878   |;   0   &)
%                                         (  59 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   96 (  95 usr;  92 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  458 (   0 sgn  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause2,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(clause8,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

cnf(clause1,negated_conjecture,
    ( hskp24
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause102,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(clause104,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(clause103,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(clause58,negated_conjecture,
    ( ~ hskp22
    | c1_1(a1468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(clause59,negated_conjecture,
    ( ~ hskp22
    | c3_1(a1468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(clause95,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a1468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

cnf(clause130,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1430) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

cnf(clause83,negated_conjecture,
    ( ~ hskp2
    | c3_1(a1430) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(clause131,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1430) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

cnf(clause128,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1431) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

cnf(clause129,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1431) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

cnf(clause82,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1431) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

cnf(clause72,negated_conjecture,
    ( ~ hskp12
    | c0_1(a1448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(clause73,negated_conjecture,
    ( ~ hskp12
    | c3_1(a1448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(clause111,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a1448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(clause40,negated_conjecture,
    ( hskp17
    | hskp3
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

cnf(clause67,negated_conjecture,
    ( ~ hskp15
    | c0_1(a1452) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(clause68,negated_conjecture,
    ( ~ hskp15
    | c1_1(a1452) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(clause107,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a1452) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(clause99,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1460) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(clause100,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1460) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(clause98,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a1460) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(clause50,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1428) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(clause51,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1428) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(clause86,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(clause87,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(clause156,negated_conjecture,
    ( ~ ndr1_0
    | hskp2
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

cnf(clause108,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(clause69,negated_conjecture,
    ( ~ hskp14
    | c2_1(a1451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(clause109,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(clause162,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp12
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

cnf(clause41,negated_conjecture,
    ( ~ hskp30
    | c0_1(a1507) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(clause42,negated_conjecture,
    ( ~ hskp30
    | c1_1(a1507) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(clause120,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1441) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(clause76,negated_conjecture,
    ( ~ hskp8
    | c3_1(a1441) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(clause75,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1441) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(clause90,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1504) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

cnf(clause54,negated_conjecture,
    ( ~ hskp25
    | c1_1(a1504) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

cnf(clause55,negated_conjecture,
    ( ~ hskp25
    | c2_1(a1504) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(clause43,negated_conjecture,
    ( ~ hskp30
    | c2_1(a1507) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

cnf(clause70,negated_conjecture,
    ( ~ hskp13
    | c1_1(a1449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(clause71,negated_conjecture,
    ( ~ hskp13
    | c2_1(a1449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(clause34,negated_conjecture,
    ( hskp13
    | hskp27
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

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

cnf(clause97,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a1465) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(clause62,negated_conjecture,
    ( ~ hskp20
    | c2_1(a1465) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(clause63,negated_conjecture,
    ( ~ hskp20
    | c3_1(a1465) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(clause53,negated_conjecture,
    ( ~ hskp26
    | c2_1(a1517) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

cnf(clause88,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1517) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

cnf(clause89,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a1517) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

cnf(clause74,negated_conjecture,
    ( ~ hskp10
    | c0_1(a1445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(clause115,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(clause37,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(clause39,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(clause91,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a1487) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(clause92,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a1487) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

cnf(clause157,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

cnf(clause96,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1466) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

cnf(clause61,negated_conjecture,
    ( ~ hskp21
    | c2_1(a1466) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

cnf(clause60,negated_conjecture,
    ( ~ hskp21
    | c0_1(a1466) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

cnf(clause79,negated_conjecture,
    ( ~ hskp5
    | c0_1(a1435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(clause125,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(clause191,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp28
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

cnf(clause65,negated_conjecture,
    ( ~ hskp18
    | c1_1(a1458) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(clause101,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1458) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(clause64,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1458) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(clause142,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp7
    | hskp4
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

cnf(clause135,negated_conjecture,
    ( ~ ndr1_0
    | hskp7
    | hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

cnf(clause44,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1483) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(clause45,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1483) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

cnf(clause46,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1483) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

cnf(clause116,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

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

cnf(clause122,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1438) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(clause77,negated_conjecture,
    ( ~ hskp7
    | c3_1(a1438) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(clause121,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1438) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(clause133,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

cnf(clause176,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp22
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

cnf(clause56,negated_conjecture,
    ( ~ hskp24
    | c3_1(a1487) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(clause144,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp3
    | hskp0
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

cnf(clause80,negated_conjecture,
    ( ~ hskp4
    | c1_1(a1434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(clause81,negated_conjecture,
    ( ~ hskp4
    | c3_1(a1434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(clause127,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(clause35,negated_conjecture,
    ( hskp26
    | hskp29
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(clause84,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1429) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(clause85,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1429) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(clause168,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp10
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

cnf(clause52,negated_conjecture,
    ( ~ hskp27
    | c3_1(a1428) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(clause117,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a1444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(clause118,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a1444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

cnf(clause119,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a1444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(clause105,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a1454) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

cnf(clause106,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1454) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(clause126,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(clause137,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp7
    | hskp6
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

cnf(clause57,negated_conjecture,
    ( ~ hskp23
    | c2_1(a1477) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(clause93,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a1477) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(clause110,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(clause94,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a1477) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(clause136,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | hskp0
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

cnf(clause145,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | hskp16
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

cnf(clause146,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp19
    | hskp3
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

cnf(clause147,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | hskp0
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

cnf(clause153,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

cnf(clause38,negated_conjecture,
    ( hskp1
    | hskp10
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(clause36,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(clause47,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1456) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(clause48,negated_conjecture,
    ( ~ hskp28
    | c1_1(a1456) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(clause49,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1456) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(clause78,negated_conjecture,
    ( ~ hskp6
    | c0_1(a1437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(clause124,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(clause113,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a1447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(clause66,negated_conjecture,
    ( ~ hskp16
    | c1_1(a1454) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(clause112,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(clause114,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(clause123,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a1437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(clause138,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp11
    | hskp5
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

cnf(clause150,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | hskp22
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

cnf(clause152,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | hskp12
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

cnf(clause155,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

cnf(clause154,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

cnf(clause199,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).

cnf(clause198,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

cnf(clause197,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

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

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

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

cnf(clause190,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp18
    | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

cnf(clause192,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

cnf(clause179,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c2_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

cnf(clause184,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

cnf(clause186,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

cnf(clause185,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c3_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

cnf(clause180,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp15
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

cnf(clause187,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

cnf(clause166,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

cnf(clause167,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

cnf(clause177,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

cnf(clause172,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

cnf(clause170,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp7
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

cnf(clause178,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp12
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

cnf(clause169,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

cnf(clause175,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

cnf(clause173,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp20
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

cnf(clause174,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

cnf(clause160,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

cnf(clause158,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

cnf(clause159,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

cnf(clause161,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp9
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

cnf(clause163,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp17
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

cnf(clause164,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp18
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

cnf(clause33,negated_conjecture,
    ( hskp3
    | hskp8
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

cnf(c_0_155,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause2]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause8]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    c_0_155 ).

cnf(c_0_158,negated_conjecture,
    ( hskp24
    | hskp30 ),
    clause1 ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    c_0_156 ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1457) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

fof(c_0_161,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1457) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1457) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

fof(c_0_164,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | hskp2 ) ),
    introduced(definition) ).

cnf(c_0_165,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).

fof(c_0_166,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_167,negated_conjecture,
    ( ~ hskp22
    | c1_1(a1468) ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp22
    | c3_1(a1468) ),
    inference(fof_simplification,[status(thm)],[clause59]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a1468) ),
    inference(fof_simplification,[status(thm)],[clause95]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1430) ),
    inference(fof_simplification,[status(thm)],[clause130]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp2
    | c3_1(a1430) ),
    inference(fof_simplification,[status(thm)],[clause83]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1430) ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1457) ),
    c_0_160 ).

cnf(c_0_174,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred12_0 ),
    inference(split_equiv,[status(thm)],[c_0_161]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1457) ),
    c_0_162 ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1457) ),
    c_0_163 ).

cnf(c_0_177,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_164]),c_0_165])]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred20_0 ),
    inference(split_equiv,[status(thm)],[c_0_166]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ hskp22
    | c1_1(a1468) ),
    c_0_167 ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp22
    | c3_1(a1468) ),
    c_0_168 ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a1468) ),
    c_0_169 ).

cnf(c_0_182,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1431) ),
    inference(fof_simplification,[status(thm)],[clause128]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1431) ),
    inference(fof_simplification,[status(thm)],[clause129]) ).

fof(c_0_184,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp12 ) ),
    introduced(definition) ).

cnf(c_0_185,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1431) ),
    inference(fof_simplification,[status(thm)],[clause82]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1430) ),
    c_0_170 ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp2
    | c3_1(a1430) ),
    c_0_171 ).

cnf(c_0_188,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1430) ),
    c_0_172 ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a1457)
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp17
    | hskp2
    | c3_1(a1457)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_175]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a1468)
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp22
    | c2_1(a1468)
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_174]),c_0_180]) ).

fof(c_0_193,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp22 ) ),
    introduced(definition) ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp12
    | c0_1(a1448) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ hskp12
    | c3_1(a1448) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a1448) ),
    inference(fof_simplification,[status(thm)],[clause111]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1431) ),
    c_0_182 ).

cnf(c_0_198,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1431) ),
    c_0_183 ).

cnf(c_0_199,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp12
    | c2_1(X1)
    | c3_1(X1)
    | epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_184]),c_0_165])]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1431) ),
    c_0_185 ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp2
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_174]),c_0_187]),c_0_188]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ hskp17
    | hskp2
    | epred1_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp22
    | epred12_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_204,negated_conjecture,
    ( hskp17
    | hskp3
    | hskp22 ),
    clause40 ).

fof(c_0_205,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_206,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_207,plain,
    ( ~ epred54_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp15
    | c0_1(a1452) ),
    inference(fof_simplification,[status(thm)],[clause67]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp15
    | c1_1(a1452) ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

fof(c_0_210,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_211,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a1452) ),
    inference(fof_simplification,[status(thm)],[clause107]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp22
    | c2_1(X1)
    | epred21_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_193]),c_0_165])]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ hskp12
    | c0_1(a1448) ),
    c_0_194 ).

cnf(c_0_214,negated_conjecture,
    ( ~ hskp12
    | c3_1(a1448) ),
    c_0_195 ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a1448) ),
    c_0_196 ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a1431)
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_174]),c_0_198]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp3
    | hskp12
    | c3_1(a1431)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_198]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ hskp17
    | epred1_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_219,negated_conjecture,
    ( hskp17
    | hskp3
    | epred12_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_220,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_205]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_206]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1460) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

fof(c_0_223,plain,
    ( ~ epred62_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1460) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a1460) ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1428) ),
    inference(fof_simplification,[status(thm)],[clause50]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1428) ),
    inference(fof_simplification,[status(thm)],[clause51]) ).

fof(c_0_228,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_229,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | epred54_0 ),
    inference(split_equiv,[status(thm)],[c_0_207]) ).

cnf(c_0_230,negated_conjecture,
    ( ~ hskp15
    | c0_1(a1452) ),
    c_0_208 ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp15
    | c1_1(a1452) ),
    c_0_209 ).

cnf(c_0_232,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp0
    | c2_1(X1)
    | c3_1(X1)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_165])]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a1452) ),
    c_0_211 ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1427) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_235,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1427) ),
    inference(fof_simplification,[status(thm)],[clause87]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ ndr1_0
    | hskp2
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause156]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp12
    | hskp22
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]),c_0_215]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp3
    | hskp12
    | epred9_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_239,negated_conjecture,
    ( hskp3
    | epred1_0
    | epred12_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1457)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_220]),c_0_175]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp3
    | c3_1(a1431)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_220]),c_0_198]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp3
    | c3_1(a1431)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_221]),c_0_200]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1460) ),
    c_0_222 ).

cnf(c_0_244,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred62_0 ),
    inference(split_equiv,[status(thm)],[c_0_223]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1460) ),
    c_0_224 ).

cnf(c_0_246,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1451) ),
    inference(fof_simplification,[status(thm)],[clause108]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp14
    | c2_1(a1451) ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1451) ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a1460) ),
    c_0_225 ).

fof(c_0_250,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1428) ),
    c_0_226 ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1428) ),
    c_0_227 ).

cnf(c_0_253,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred8_0 ),
    inference(split_equiv,[status(thm)],[c_0_228]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a1452)
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ hskp15
    | hskp0
    | c2_1(a1452)
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_230]),c_0_233]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1427) ),
    c_0_234 ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1427) ),
    c_0_235 ).

cnf(c_0_258,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp12
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause162]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ ndr1_0
    | hskp2
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_236 ).

cnf(c_0_260,negated_conjecture,
    ( ~ hskp12
    | epred12_0
    | epred20_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_203,c_0_237]) ).

cnf(c_0_261,negated_conjecture,
    ( hskp12
    | epred1_0
    | epred9_0
    | epred12_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ hskp17
    | epred2_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_240]) ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp3
    | epred2_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_216,c_0_241]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp3
    | epred10_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_216,c_0_242]) ).

fof(c_0_265,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_266,negated_conjecture,
    ( ~ hskp30
    | c0_1(a1507) ),
    inference(fof_simplification,[status(thm)],[clause41]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp30
    | c1_1(a1507) ),
    inference(fof_simplification,[status(thm)],[clause42]) ).

fof(c_0_268,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp20 ) ),
    introduced(definition) ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1441) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

fof(c_0_270,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp8
    | c3_1(a1441) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

fof(c_0_272,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_273,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1441) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a1460)
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ hskp19
    | hskp2
    | c2_1(a1460)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_177]),c_0_245]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1451) ),
    c_0_246 ).

cnf(c_0_277,negated_conjecture,
    ( ~ hskp14
    | c2_1(a1451) ),
    c_0_247 ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1451) ),
    c_0_248 ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp19
    | c2_1(a1460)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_220]),c_0_245]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1504) ),
    inference(fof_simplification,[status(thm)],[clause90]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp25
    | c1_1(a1504) ),
    inference(fof_simplification,[status(thm)],[clause54]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ hskp25
    | c2_1(a1504) ),
    inference(fof_simplification,[status(thm)],[clause55]) ).

cnf(c_0_283,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | epred28_0 ),
    inference(split_equiv,[status(thm)],[c_0_250]) ).

fof(c_0_284,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp30
    | c2_1(a1507) ),
    inference(fof_simplification,[status(thm)],[clause43]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp13
    | c1_1(a1449) ),
    inference(fof_simplification,[status(thm)],[clause70]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp13
    | c2_1(a1449) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a1428)
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_251]),c_0_252]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp27
    | c1_1(a1428)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_251]),c_0_252]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp15
    | hskp0
    | epred3_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_291,negated_conjecture,
    ( hskp13
    | hskp27
    | hskp15 ),
    clause34 ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1427)
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_256]),c_0_257]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1427)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_256]),c_0_257]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause195]) ).

cnf(c_0_295,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp12
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_258 ).

cnf(c_0_296,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_259,c_0_164]),c_0_205]) ).

cnf(c_0_297,negated_conjecture,
    ( epred1_0
    | epred9_0
    | epred12_0
    | epred20_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_298,negated_conjecture,
    ( epred2_0
    | epred12_0
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_219]),c_0_263]) ).

cnf(c_0_299,negated_conjecture,
    ( epred1_0
    | epred10_0
    | epred12_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_264,c_0_239]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a1465) ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp20
    | c2_1(a1465) ),
    inference(fof_simplification,[status(thm)],[clause62]) ).

cnf(c_0_302,negated_conjecture,
    ( ~ hskp20
    | c3_1(a1465) ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_303,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | epred45_0 ),
    inference(split_equiv,[status(thm)],[c_0_265]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ hskp30
    | c0_1(a1507) ),
    c_0_266 ).

cnf(c_0_305,negated_conjecture,
    ( ~ hskp30
    | c1_1(a1507) ),
    c_0_267 ).

cnf(c_0_306,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp20
    | c3_1(X1)
    | epred25_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_268]),c_0_165])]) ).

fof(c_0_307,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c0_1(X2)
        | hskp14 ) ),
    introduced(definition) ).

cnf(c_0_308,negated_conjecture,
    ( ~ hskp26
    | c2_1(a1517) ),
    inference(fof_simplification,[status(thm)],[clause53]) ).

cnf(c_0_309,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1517) ),
    inference(fof_simplification,[status(thm)],[clause88]) ).

cnf(c_0_310,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a1517) ),
    inference(fof_simplification,[status(thm)],[clause89]) ).

cnf(c_0_311,negated_conjecture,
    ( ~ hskp10
    | c0_1(a1445) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1445) ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1441) ),
    c_0_269 ).

cnf(c_0_314,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred41_0 ),
    inference(split_equiv,[status(thm)],[c_0_270]) ).

cnf(c_0_315,negated_conjecture,
    ( ~ hskp8
    | c3_1(a1441) ),
    c_0_271 ).

cnf(c_0_316,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred24_0 ),
    inference(split_equiv,[status(thm)],[c_0_272]) ).

cnf(c_0_317,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1441) ),
    c_0_273 ).

cnf(c_0_318,negated_conjecture,
    ( ~ hskp19
    | hskp2
    | epred1_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_319,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp8 ),
    clause37 ).

cnf(c_0_320,negated_conjecture,
    ( ~ hskp14
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_244]),c_0_277]),c_0_278]) ).

cnf(c_0_321,negated_conjecture,
    ( ~ hskp19
    | epred2_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_279]) ).

fof(c_0_322,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c0_1(X1)
        | hskp9 ) ),
    introduced(definition) ).

cnf(c_0_323,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1504) ),
    c_0_280 ).

cnf(c_0_324,negated_conjecture,
    ( ~ hskp25
    | c1_1(a1504) ),
    c_0_281 ).

cnf(c_0_325,negated_conjecture,
    ( ~ hskp25
    | c2_1(a1504) ),
    c_0_282 ).

cnf(c_0_326,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp25 ),
    clause39 ).

cnf(c_0_327,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a1468)
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_283]),c_0_179]) ).

cnf(c_0_328,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a1487) ),
    inference(fof_simplification,[status(thm)],[clause91]) ).

cnf(c_0_329,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_284]) ).

cnf(c_0_330,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a1487) ),
    inference(fof_simplification,[status(thm)],[clause92]) ).

cnf(c_0_331,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | epred28_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_229,c_0_283]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp30
    | c2_1(a1507) ),
    c_0_285 ).

cnf(c_0_333,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause157]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ hskp13
    | c1_1(a1449) ),
    c_0_286 ).

cnf(c_0_335,negated_conjecture,
    ( ~ hskp13
    | c2_1(a1449) ),
    c_0_287 ).

cnf(c_0_336,negated_conjecture,
    ( ~ hskp27
    | epred8_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_337,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp0
    | epred3_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_338,negated_conjecture,
    ( ~ hskp0
    | epred8_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_339,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1466) ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp21
    | c2_1(a1466) ),
    inference(fof_simplification,[status(thm)],[clause61]) ).

fof(c_0_341,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1)
        | hskp7 ) ),
    introduced(definition) ).

cnf(c_0_342,negated_conjecture,
    ( ~ hskp21
    | c0_1(a1466) ),
    inference(fof_simplification,[status(thm)],[clause60]) ).

fof(c_0_343,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp10 ) ),
    introduced(definition) ).

cnf(c_0_344,negated_conjecture,
    ( ~ hskp5
    | c0_1(a1435) ),
    inference(fof_simplification,[status(thm)],[clause79]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1435) ),
    inference(fof_simplification,[status(thm)],[clause125]) ).

cnf(c_0_346,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp28
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause191]) ).

fof(c_0_347,plain,
    ( ~ epred59_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_348,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_294 ).

cnf(c_0_349,negated_conjecture,
    ( ~ epred9_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_295,c_0_184]),c_0_206]) ).

cnf(c_0_350,negated_conjecture,
    ( epred9_0
    | epred12_0
    | epred20_0
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]) ).

cnf(c_0_351,negated_conjecture,
    ( epred10_0
    | epred12_0
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_299]),c_0_298]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a1465) ),
    c_0_300 ).

cnf(c_0_353,negated_conjecture,
    ( ~ hskp20
    | c2_1(a1465) ),
    c_0_301 ).

cnf(c_0_354,negated_conjecture,
    ( ~ hskp20
    | c3_1(a1465) ),
    c_0_302 ).

cnf(c_0_355,negated_conjecture,
    ( ~ hskp30
    | ~ c3_1(a1507)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_305]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ hskp30
    | hskp20
    | c3_1(a1507)
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_304]),c_0_305]) ).

fof(c_0_357,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_358,negated_conjecture,
    ( ~ hskp18
    | c1_1(a1458) ),
    inference(fof_simplification,[status(thm)],[clause65]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1458) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1458) ),
    inference(fof_simplification,[status(thm)],[clause64]) ).

fof(c_0_361,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp18 ) ),
    introduced(definition) ).

fof(c_0_362,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2)
        | c0_1(X2)
        | hskp3 ) ),
    introduced(definition) ).

cnf(c_0_363,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp7
    | hskp4
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause142]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ ndr1_0
    | hskp7
    | hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause135]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1483) ),
    inference(fof_simplification,[status(thm)],[clause44]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1483) ),
    inference(fof_simplification,[status(thm)],[clause45]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1483) ),
    inference(fof_simplification,[status(thm)],[clause46]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp14
    | c0_1(X1)
    | c3_1(X1)
    | epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_307]),c_0_165])]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ hskp26
    | c2_1(a1517) ),
    c_0_308 ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1517) ),
    c_0_309 ).

cnf(c_0_371,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a1517) ),
    c_0_310 ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp10
    | c0_1(a1445) ),
    c_0_311 ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1445) ),
    c_0_312 ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1445) ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

cnf(c_0_375,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a1441)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315]) ).

cnf(c_0_376,negated_conjecture,
    ( ~ hskp8
    | c2_1(a1441)
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_313]) ).

cnf(c_0_377,negated_conjecture,
    ( hskp8
    | hskp2
    | epred1_0
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_320]) ).

cnf(c_0_378,negated_conjecture,
    ( hskp14
    | hskp8
    | epred2_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_321,c_0_319]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp9
    | c0_1(X1)
    | c3_1(X1)
    | epred11_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_322]),c_0_165])]) ).

fof(c_0_380,plain,
    ( ~ epred64_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c1_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_381,negated_conjecture,
    ( ~ hskp25
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_283]),c_0_324]),c_0_325]) ).

cnf(c_0_382,negated_conjecture,
    ( hskp25
    | hskp17
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_201,c_0_326]) ).

cnf(c_0_383,negated_conjecture,
    ( ~ hskp22
    | epred12_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_327,c_0_192]) ).

cnf(c_0_384,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause194]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a1487) ),
    c_0_328 ).

cnf(c_0_386,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | epred4_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_316,c_0_329]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a1487) ),
    c_0_330 ).

cnf(c_0_388,negated_conjecture,
    ( ~ hskp30
    | epred28_0
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_305]),c_0_332]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_333 ).

cnf(c_0_390,negated_conjecture,
    ( ~ hskp13
    | epred28_0
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_334]),c_0_335]) ).

cnf(c_0_391,negated_conjecture,
    ( hskp13
    | epred3_0
    | epred8_0
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1438) ),
    inference(fof_simplification,[status(thm)],[clause122]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ hskp7
    | c3_1(a1438) ),
    inference(fof_simplification,[status(thm)],[clause77]) ).

cnf(c_0_394,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1438) ),
    inference(fof_simplification,[status(thm)],[clause121]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1466) ),
    c_0_339 ).

cnf(c_0_396,negated_conjecture,
    ( ~ hskp21
    | c2_1(a1466) ),
    c_0_340 ).

cnf(c_0_397,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp7
    | c1_1(X1)
    | c3_1(X1)
    | epred34_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_341]),c_0_165])]) ).

cnf(c_0_398,negated_conjecture,
    ( ~ hskp21
    | c0_1(a1466) ),
    c_0_342 ).

fof(c_0_399,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp21 ) ),
    introduced(definition) ).

cnf(c_0_400,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1427) ),
    inference(fof_simplification,[status(thm)],[clause133]) ).

fof(c_0_401,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c1_1(X2)
        | hskp7 ) ),
    introduced(definition) ).

cnf(c_0_402,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp10
    | c2_1(X1)
    | epred33_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_343]),c_0_165])]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ hskp5
    | c0_1(a1435) ),
    c_0_344 ).

cnf(c_0_404,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1435) ),
    c_0_345 ).

fof(c_0_405,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1)
        | hskp5 ) ),
    introduced(definition) ).

cnf(c_0_406,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp22
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause176]) ).

fof(c_0_407,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | hskp28 ) ),
    introduced(definition) ).

cnf(c_0_408,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp28
    | c1_1(X2) ),
    c_0_346 ).

cnf(c_0_409,negated_conjecture,
    ( ~ epred12_0
    | ~ epred24_0
    | ~ epred59_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_348,c_0_347]),c_0_272]),c_0_161]) ).

cnf(c_0_410,negated_conjecture,
    ( epred12_0
    | epred20_0
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_351]) ).

fof(c_0_411,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp24
    | c3_1(a1487) ),
    inference(fof_simplification,[status(thm)],[clause56]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp20
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_314]),c_0_353]),c_0_354]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp30
    | hskp20
    | epred25_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

fof(c_0_415,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_416,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred18_0 ),
    inference(split_equiv,[status(thm)],[c_0_357]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ hskp18
    | c1_1(a1458) ),
    c_0_358 ).

cnf(c_0_418,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1458) ),
    c_0_359 ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1458) ),
    c_0_360 ).

cnf(c_0_420,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp18
    | c2_1(X1)
    | c3_1(X1)
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_361]),c_0_165])]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp3
    | hskp0
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_422,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred15_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_362]),c_0_165])]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ hskp4
    | c1_1(a1434) ),
    inference(fof_simplification,[status(thm)],[clause80]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ hskp4
    | c3_1(a1434) ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_425,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1434) ),
    inference(fof_simplification,[status(thm)],[clause127]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | hskp7
    | hskp4
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_363 ).

cnf(c_0_427,negated_conjecture,
    ( ~ ndr1_0
    | hskp7
    | hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_364 ).

cnf(c_0_428,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1483) ),
    c_0_365 ).

cnf(c_0_429,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1483) ),
    c_0_366 ).

cnf(c_0_430,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1483) ),
    c_0_367 ).

cnf(c_0_431,negated_conjecture,
    ( ~ hskp26
    | hskp14
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_370]),c_0_371]) ).

cnf(c_0_432,negated_conjecture,
    ( hskp26
    | hskp29
    | hskp0 ),
    clause35 ).

cnf(c_0_433,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1429) ),
    inference(fof_simplification,[status(thm)],[clause84]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1429) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a1445)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_372]),c_0_373]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ hskp10
    | c2_1(a1445)
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_372]),c_0_373]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1445) ),
    c_0_374 ).

cnf(c_0_438,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp10
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause168]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ hskp8
    | epred24_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_440,negated_conjecture,
    ( hskp8
    | epred1_0
    | epred12_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_201,c_0_377]) ).

cnf(c_0_441,negated_conjecture,
    ( hskp8
    | epred2_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_320,c_0_378]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ hskp27
    | c3_1(a1428) ),
    inference(fof_simplification,[status(thm)],[clause52]) ).

fof(c_0_443,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_444,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a1444) ),
    inference(fof_simplification,[status(thm)],[clause117]) ).

fof(c_0_445,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c1_1(X2)
        | hskp17 ) ),
    introduced(definition) ).

cnf(c_0_446,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a1444) ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a1444) ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

cnf(c_0_448,negated_conjecture,
    ( ~ hskp26
    | hskp9
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_369]),c_0_370]),c_0_371]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred64_0 ),
    inference(split_equiv,[status(thm)],[c_0_380]) ).

cnf(c_0_450,negated_conjecture,
    ( hskp17
    | epred12_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_451,negated_conjecture,
    ( hskp17
    | hskp3
    | epred12_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_383,c_0_204]) ).

fof(c_0_452,plain,
    ( ~ epred60_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_453,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    c_0_384 ).

cnf(c_0_454,negated_conjecture,
    ( ~ hskp24
    | epred4_0
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_387]) ).

cnf(c_0_455,negated_conjecture,
    ( hskp24
    | epred28_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_388,c_0_158]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_389,c_0_210]),c_0_284]) ).

cnf(c_0_457,negated_conjecture,
    ( epred3_0
    | epred8_0
    | epred28_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_390,c_0_391]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1438) ),
    c_0_392 ).

cnf(c_0_459,negated_conjecture,
    ( ~ hskp7
    | c3_1(a1438) ),
    c_0_393 ).

cnf(c_0_460,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1438) ),
    c_0_394 ).

cnf(c_0_461,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a1466)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_314]),c_0_396]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ hskp21
    | hskp7
    | c3_1(a1466)
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_395]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp21
    | c3_1(X1)
    | epred23_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_399]),c_0_165])]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1427) ),
    c_0_400 ).

cnf(c_0_465,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred35_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_401]),c_0_165])]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a1435)
    | hskp10
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_403]),c_0_404]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ hskp5
    | c1_1(a1435)
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_403]),c_0_404]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp5
    | c1_1(X1)
    | c3_1(X1)
    | epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_405]),c_0_165])]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp22
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_406 ).

cnf(c_0_470,negated_conjecture,
    ( ~ epred20_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_408,c_0_407]),c_0_166]) ).

cnf(c_0_471,negated_conjecture,
    ( ~ epred24_0
    | ~ epred59_0
    | epred20_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_409,c_0_410]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred22_0 ),
    inference(split_equiv,[status(thm)],[c_0_411]) ).

cnf(c_0_473,negated_conjecture,
    ( ~ hskp24
    | c3_1(a1487) ),
    c_0_412 ).

cnf(c_0_474,negated_conjecture,
    ( ~ hskp30
    | epred25_0
    | epred41_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_413,c_0_414]) ).

cnf(c_0_475,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred16_0 ),
    inference(split_equiv,[status(thm)],[c_0_415]) ).

fof(c_0_476,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_477,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a1454) ),
    inference(fof_simplification,[status(thm)],[clause105]) ).

cnf(c_0_478,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1454) ),
    inference(fof_simplification,[status(thm)],[clause106]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a1458)
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_418]) ).

cnf(c_0_480,negated_conjecture,
    ( ~ hskp18
    | hskp0
    | c3_1(a1458)
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_419]),c_0_418]) ).

cnf(c_0_481,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a1431)
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_200]),c_0_198]) ).

cnf(c_0_482,negated_conjecture,
    ( ~ hskp3
    | hskp18
    | c3_1(a1431)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_200]),c_0_198]) ).

cnf(c_0_483,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp3
    | hskp0
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_421 ).

cnf(c_0_484,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1435) ),
    inference(fof_simplification,[status(thm)],[clause126]) ).

cnf(c_0_485,negated_conjecture,
    ( ~ hskp19
    | hskp3
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_422]),c_0_243]),c_0_245]) ).

cnf(c_0_486,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp7
    | hskp6
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause137]) ).

cnf(c_0_487,negated_conjecture,
    ( ~ hskp23
    | c2_1(a1477) ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_488,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a1477) ),
    inference(fof_simplification,[status(thm)],[clause93]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1449) ),
    inference(fof_simplification,[status(thm)],[clause110]) ).

fof(c_0_490,plain,
    ( ~ epred58_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c1_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_491,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a1477) ),
    inference(fof_simplification,[status(thm)],[clause94]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ hskp4
    | c1_1(a1434) ),
    c_0_423 ).

cnf(c_0_493,negated_conjecture,
    ( ~ hskp4
    | c3_1(a1434) ),
    c_0_424 ).

cnf(c_0_494,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1434) ),
    c_0_425 ).

cnf(c_0_495,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp7
    | hskp4
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_165])]) ).

cnf(c_0_496,negated_conjecture,
    ( hskp8
    | hskp7
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_427,c_0_165])]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | hskp0
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause136]) ).

fof(c_0_498,plain,
    ( ~ epred61_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_499,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | hskp16
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause145]) ).

fof(c_0_500,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | hskp23 ) ),
    introduced(definition) ).

cnf(c_0_501,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp19
    | hskp3
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause146]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | hskp0
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause147]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | hskp21 ),
    inference(fof_simplification,[status(thm)],[clause153]) ).

fof(c_0_504,plain,
    ( ~ epred56_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_505,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | hskp7 ) ),
    introduced(definition) ).

cnf(c_0_506,negated_conjecture,
    ( ~ hskp29
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_428]),c_0_429]),c_0_430]) ).

cnf(c_0_507,negated_conjecture,
    ( hskp29
    | hskp14
    | hskp0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_431,c_0_432]) ).

cnf(c_0_508,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a1448)
    | hskp10
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_213]),c_0_215]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ hskp12
    | c1_1(a1448)
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_213]),c_0_215]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred20_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_178,c_0_314]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1429) ),
    c_0_433 ).

cnf(c_0_512,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1429) ),
    c_0_434 ).

cnf(c_0_513,negated_conjecture,
    ( ~ hskp10
    | epred8_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_435,c_0_436]) ).

cnf(c_0_514,negated_conjecture,
    ( hskp1
    | hskp10
    | hskp12 ),
    clause38 ).

cnf(c_0_515,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a1445)
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_244]),c_0_437]) ).

cnf(c_0_516,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp8 ),
    clause36 ).

cnf(c_0_517,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp10
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_438 ).

cnf(c_0_518,negated_conjecture,
    ( epred1_0
    | epred12_0
    | epred24_0
    | epred41_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_439,c_0_440]) ).

cnf(c_0_519,negated_conjecture,
    ( epred2_0
    | epred24_0
    | epred41_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_439,c_0_441]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ hskp27
    | c3_1(a1428) ),
    c_0_442 ).

cnf(c_0_521,negated_conjecture,
    ( ~ hskp15
    | hskp20
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_230]),c_0_231]),c_0_233]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ hskp30
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_304]),c_0_305]),c_0_332]) ).

fof(c_0_523,plain,
    ( ~ epred48_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_524,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1456) ),
    inference(fof_simplification,[status(thm)],[clause47]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ hskp28
    | c1_1(a1456) ),
    inference(fof_simplification,[status(thm)],[clause48]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1456) ),
    inference(fof_simplification,[status(thm)],[clause49]) ).

cnf(c_0_527,negated_conjecture,
    ( ~ hskp6
    | c0_1(a1437) ),
    inference(fof_simplification,[status(thm)],[clause78]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1437) ),
    inference(fof_simplification,[status(thm)],[clause124]) ).

cnf(c_0_529,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred17_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_443]),c_0_165])]) ).

fof(c_0_530,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_531,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a1444) ),
    c_0_444 ).

cnf(c_0_532,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_445]),c_0_165])]) ).

cnf(c_0_533,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a1444) ),
    c_0_446 ).

cnf(c_0_534,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a1444) ),
    c_0_447 ).

cnf(c_0_535,negated_conjecture,
    ( hskp29
    | hskp9
    | hskp0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_448,c_0_432]) ).

cnf(c_0_536,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a1517)
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_283]),c_0_369]) ).

cnf(c_0_537,negated_conjecture,
    ( ~ hskp26
    | c1_1(a1517)
    | epred64_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_449]),c_0_369]) ).

cnf(c_0_538,negated_conjecture,
    ( epred1_0
    | epred12_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_218,c_0_450]) ).

cnf(c_0_539,negated_conjecture,
    ( epred2_0
    | epred12_0
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_451]),c_0_263]) ).

cnf(c_0_540,negated_conjecture,
    ( ~ epred4_0
    | ~ epred8_0
    | ~ epred60_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_453,c_0_452]),c_0_284]),c_0_228]) ).

cnf(c_0_541,negated_conjecture,
    ( epred4_0
    | epred24_0
    | epred28_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_454,c_0_455]) ).

cnf(c_0_542,negated_conjecture,
    ( ~ epred4_0
    | epred8_0
    | epred28_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_456,c_0_457]) ).

fof(c_0_543,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_544,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1438)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_314]),c_0_459]) ).

cnf(c_0_545,negated_conjecture,
    ( ~ hskp7
    | c2_1(a1438)
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_174]),c_0_459]) ).

cnf(c_0_546,negated_conjecture,
    ( ~ hskp21
    | hskp7
    | epred34_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_461,c_0_462]) ).

cnf(c_0_547,negated_conjecture,
    ( ~ hskp0
    | hskp21
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_256]),c_0_257]),c_0_464]) ).

cnf(c_0_548,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a1460)
    | epred64_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_449]),c_0_243]) ).

cnf(c_0_549,negated_conjecture,
    ( ~ hskp19
    | hskp7
    | c2_1(a1460)
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_465]),c_0_245]) ).

cnf(c_0_550,negated_conjecture,
    ( ~ hskp7
    | c2_1(a1438)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_329]),c_0_458]) ).

cnf(c_0_551,negated_conjecture,
    ( ~ hskp5
    | hskp10
    | epred24_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_466,c_0_467]) ).

cnf(c_0_552,negated_conjecture,
    ( ~ hskp14
    | hskp5
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_277]),c_0_276]),c_0_278]) ).

fof(c_0_553,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ ndr1_0
        | c0_1(X1)
        | hskp15 ) ),
    introduced(definition) ).

cnf(c_0_554,negated_conjecture,
    ( ~ epred21_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_469,c_0_193]),c_0_411]) ).

cnf(c_0_555,negated_conjecture,
    ( ~ epred24_0
    | ~ epred52_0
    | ~ epred59_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_470,c_0_471]) ).

cnf(c_0_556,negated_conjecture,
    ( ~ hskp24
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_472]),c_0_473]),c_0_387]) ).

cnf(c_0_557,negated_conjecture,
    ( hskp24
    | epred25_0
    | epred41_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_474,c_0_158]) ).

cnf(c_0_558,negated_conjecture,
    ( ~ hskp22
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_475]),c_0_179]),c_0_180]) ).

cnf(c_0_559,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred14_0 ),
    inference(split_equiv,[status(thm)],[c_0_476]) ).

cnf(c_0_560,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a1454) ),
    c_0_477 ).

cnf(c_0_561,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1454) ),
    c_0_478 ).

cnf(c_0_562,negated_conjecture,
    ( ~ hskp18
    | hskp0
    | epred3_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_479,c_0_480]) ).

cnf(c_0_563,negated_conjecture,
    ( ~ hskp3
    | hskp18
    | epred5_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_481,c_0_482]) ).

cnf(c_0_564,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp3
    | hskp0
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_483,c_0_165])]) ).

cnf(c_0_565,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1435) ),
    c_0_484 ).

cnf(c_0_566,negated_conjecture,
    ( hskp14
    | hskp8
    | hskp3
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_485,c_0_319]) ).

cnf(c_0_567,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp7
    | hskp6
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_486 ).

cnf(c_0_568,negated_conjecture,
    ( ~ hskp23
    | c2_1(a1477) ),
    c_0_487 ).

cnf(c_0_569,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a1477) ),
    c_0_488 ).

fof(c_0_570,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp8 ) ),
    introduced(definition) ).

cnf(c_0_571,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1449) ),
    c_0_489 ).

cnf(c_0_572,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred58_0 ),
    inference(split_equiv,[status(thm)],[c_0_490]) ).

cnf(c_0_573,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a1477) ),
    c_0_491 ).

cnf(c_0_574,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a1447) ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

cnf(c_0_575,negated_conjecture,
    ( ~ hskp4
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_492]),c_0_493]),c_0_494]) ).

cnf(c_0_576,negated_conjecture,
    ( hskp8
    | hskp7
    | hskp4
    | c2_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_495,c_0_496]) ).

cnf(c_0_577,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp4
    | hskp0
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_497 ).

cnf(c_0_578,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred61_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_498]),c_0_165])]) ).

cnf(c_0_579,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | hskp16
    | c0_1(X1) ),
    c_0_499 ).

cnf(c_0_580,negated_conjecture,
    ( ~ hskp16
    | c1_1(a1454) ),
    inference(fof_simplification,[status(thm)],[clause66]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp23
    | c3_1(X1)
    | epred53_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_500]),c_0_165])]) ).

cnf(c_0_582,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred59_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_347]),c_0_165])]) ).

cnf(c_0_583,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp19
    | hskp3
    | c0_1(X1) ),
    c_0_501 ).

cnf(c_0_584,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | hskp0
    | c1_1(X1) ),
    c_0_502 ).

cnf(c_0_585,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp9
    | hskp21 ),
    c_0_503 ).

fof(c_0_586,plain,
    ( ~ epred66_0
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ ndr1_0
        | c2_1(X3)
        | c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_587,plain,
    ( ~ epred65_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ ndr1_0
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_588,plain,
    ( ~ epred51_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c0_1(X2)
        | hskp0 ) ),
    introduced(definition) ).

fof(c_0_589,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c1_1(X2)
        | hskp6 ) ),
    introduced(definition) ).

fof(c_0_590,plain,
    ( ~ epred63_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_591,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2)
        | hskp13 ) ),
    introduced(definition) ).

fof(c_0_592,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp23 ) ),
    introduced(definition) ).

cnf(c_0_593,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred56_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_504]),c_0_165])]) ).

fof(c_0_594,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c0_1(X2)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_595,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp7
    | c2_1(X1)
    | c3_1(X1)
    | epred36_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_505]),c_0_165])]) ).

fof(c_0_596,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp5 ) ),
    introduced(definition) ).

cnf(c_0_597,negated_conjecture,
    ( hskp14
    | hskp0
    | epred20_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_506,c_0_507]) ).

cnf(c_0_598,negated_conjecture,
    ( ~ hskp12
    | hskp10
    | epred24_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_508,c_0_509]) ).

cnf(c_0_599,negated_conjecture,
    ( ~ hskp1
    | epred20_0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_511]),c_0_512]) ).

cnf(c_0_600,negated_conjecture,
    ( hskp12
    | hskp1
    | epred8_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_513,c_0_514]) ).

cnf(c_0_601,negated_conjecture,
    ( ~ hskp0
    | hskp7
    | c1_1(a1427)
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_256]),c_0_464]) ).

cnf(c_0_602,negated_conjecture,
    ( ~ hskp10
    | epred24_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_515,c_0_436]) ).

cnf(c_0_603,negated_conjecture,
    ( hskp12
    | hskp8
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_320,c_0_516]) ).

cnf(c_0_604,negated_conjecture,
    ( ~ epred12_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_517,c_0_343]),c_0_161]) ).

cnf(c_0_605,negated_conjecture,
    ( epred12_0
    | epred24_0
    | epred41_0
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_518]),c_0_519]) ).

cnf(c_0_606,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a1428)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_251]),c_0_520]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ hskp15
    | epred25_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_413,c_0_521]) ).

cnf(c_0_608,negated_conjecture,
    ( hskp24
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_158]) ).

fof(c_0_609,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp19 ) ),
    introduced(definition) ).

cnf(c_0_610,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred48_0 ),
    inference(split_equiv,[status(thm)],[c_0_523]) ).

cnf(c_0_611,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1456) ),
    c_0_524 ).

cnf(c_0_612,negated_conjecture,
    ( ~ hskp28
    | c1_1(a1456) ),
    c_0_525 ).

cnf(c_0_613,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1456) ),
    c_0_526 ).

cnf(c_0_614,negated_conjecture,
    ( ~ hskp6
    | c0_1(a1437) ),
    c_0_527 ).

cnf(c_0_615,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1437) ),
    c_0_528 ).

cnf(c_0_616,negated_conjecture,
    ( ~ hskp8
    | hskp22
    | c2_1(a1441)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_317]),c_0_315]) ).

cnf(c_0_617,negated_conjecture,
    ( ~ hskp19
    | hskp0
    | c2_1(a1460)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_529]),c_0_245]) ).

cnf(c_0_618,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1447) ),
    inference(fof_simplification,[status(thm)],[clause112]) ).

cnf(c_0_619,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1447) ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

cnf(c_0_620,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_530]) ).

cnf(c_0_621,negated_conjecture,
    ( ~ hskp9
    | hskp17
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_532]),c_0_533]),c_0_534]) ).

cnf(c_0_622,negated_conjecture,
    ( hskp9
    | hskp0
    | epred11_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_506,c_0_535]) ).

cnf(c_0_623,negated_conjecture,
    ( ~ hskp26
    | epred28_0
    | epred64_0 ),
    inference(spm,[status(thm)],[c_0_536,c_0_537]) ).

fof(c_0_624,plain,
    ( ~ epred57_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_625,negated_conjecture,
    ( epred12_0
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_538]),c_0_539]) ).

cnf(c_0_626,negated_conjecture,
    ( ~ epred8_0
    | ~ epred60_0
    | epred24_0
    | epred28_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_540,c_0_541]) ).

cnf(c_0_627,negated_conjecture,
    ( epred8_0
    | epred24_0
    | epred28_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_542,c_0_541]) ).

cnf(c_0_628,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred32_0 ),
    inference(split_equiv,[status(thm)],[c_0_543]) ).

cnf(c_0_629,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a1437) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_630,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp11
    | hskp5
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause138]) ).

cnf(c_0_631,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | hskp22
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_632,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | hskp12
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause152]) ).

cnf(c_0_633,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | hskp25 ),
    inference(fof_simplification,[status(thm)],[clause155]) ).

cnf(c_0_634,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | hskp0 ),
    inference(fof_simplification,[status(thm)],[clause154]) ).

cnf(c_0_635,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause199]) ).

cnf(c_0_636,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause198]) ).

cnf(c_0_637,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause197]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause196]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause193]) ).

cnf(c_0_640,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause189]) ).

cnf(c_0_641,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp18
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause190]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c3_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause192]) ).

cnf(c_0_643,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c2_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause179]) ).

cnf(c_0_644,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause184]) ).

cnf(c_0_645,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause186]) ).

cnf(c_0_646,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c3_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause185]) ).

cnf(c_0_647,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp15
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause180]) ).

cnf(c_0_648,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause187]) ).

cnf(c_0_649,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause166]) ).

cnf(c_0_650,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause167]) ).

cnf(c_0_651,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause177]) ).

cnf(c_0_652,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_653,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp7
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause170]) ).

cnf(c_0_654,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp12
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause178]) ).

cnf(c_0_655,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause169]) ).

cnf(c_0_656,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause175]) ).

cnf(c_0_657,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp20
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_658,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause174]) ).

cnf(c_0_659,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause160]) ).

cnf(c_0_660,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause158]) ).

cnf(c_0_661,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause159]) ).

cnf(c_0_662,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp9
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause161]) ).

cnf(c_0_663,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp17
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause163]) ).

cnf(c_0_664,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp18
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause164]) ).

cnf(c_0_665,negated_conjecture,
    ( ~ hskp7
    | epred12_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_545]) ).

cnf(c_0_666,negated_conjecture,
    ( ~ hskp0
    | hskp7
    | epred23_0
    | epred34_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_546,c_0_547]) ).

cnf(c_0_667,negated_conjecture,
    ( ~ hskp19
    | hskp7
    | epred35_0
    | epred64_0 ),
    inference(spm,[status(thm)],[c_0_548,c_0_549]) ).

cnf(c_0_668,negated_conjecture,
    ( hskp7
    | hskp0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred17_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_397,c_0_529]) ).

cnf(c_0_669,negated_conjecture,
    ( ~ hskp7
    | epred4_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_550]) ).

cnf(c_0_670,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred4_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_397,c_0_329]) ).

cnf(c_0_671,negated_conjecture,
    ( ~ hskp5
    | epred8_0
    | epred24_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_513,c_0_551]) ).

cnf(c_0_672,negated_conjecture,
    ( hskp12
    | hskp8
    | hskp5
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_552,c_0_516]) ).

cnf(c_0_673,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp15
    | c0_1(X1)
    | epred43_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_553]),c_0_165])]) ).

cnf(c_0_674,negated_conjecture,
    ( ~ hskp25
    | hskp14
    | c3_1(a1504)
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_325]),c_0_323]) ).

cnf(c_0_675,negated_conjecture,
    ( ~ epred22_0
    | ~ epred24_0
    | ~ epred52_0
    | ~ epred59_0 ),
    inference(spm,[status(thm)],[c_0_554,c_0_555]) ).

cnf(c_0_676,negated_conjecture,
    ( epred22_0
    | epred25_0
    | epred41_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_556,c_0_557]) ).

cnf(c_0_677,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp20
    | c3_1(X1)
    | epred25_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_306,c_0_283]) ).

cnf(c_0_678,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1427)
    | hskp20
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_256]),c_0_464]) ).

cnf(c_0_679,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred16_0
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_475]),c_0_558]) ).

cnf(c_0_680,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp22
    | c1_1(X1)
    | c2_1(X1)
    | epred14_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_559]) ).

cnf(c_0_681,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp22
    | c1_1(X1)
    | c2_1(X1)
    | epred4_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_329]) ).

cnf(c_0_682,negated_conjecture,
    ( ~ hskp16
    | hskp0
    | c2_1(a1454)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_529]),c_0_561]) ).

cnf(c_0_683,negated_conjecture,
    ( ~ hskp3
    | hskp0
    | epred3_0
    | epred5_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_562,c_0_563]) ).

cnf(c_0_684,negated_conjecture,
    ( hskp3
    | hskp0
    | c2_1(X1)
    | c3_1(X1)
    | epred3_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_422]),c_0_564]) ).

cnf(c_0_685,negated_conjecture,
    ( ~ hskp5
    | hskp0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_403]),c_0_404]),c_0_565]) ).

cnf(c_0_686,negated_conjecture,
    ( hskp8
    | hskp5
    | hskp3
    | epred13_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_552,c_0_566]) ).

cnf(c_0_687,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp7
    | hskp6
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_567,c_0_165])]) ).

cnf(c_0_688,negated_conjecture,
    ( ~ hskp23
    | hskp9
    | c3_1(a1477)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_568]),c_0_569]) ).

cnf(c_0_689,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp8
    | c3_1(X1)
    | epred49_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_570]),c_0_165])]) ).

cnf(c_0_690,negated_conjecture,
    ( ~ hskp13
    | hskp9
    | c0_1(a1449)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_335]),c_0_571]) ).

cnf(c_0_691,negated_conjecture,
    ( ~ hskp23
    | c3_1(a1477)
    | epred58_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_572]),c_0_573]) ).

cnf(c_0_692,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred12_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_303,c_0_174]) ).

cnf(c_0_693,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred14_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_316,c_0_559]) ).

cnf(c_0_694,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred12_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_316,c_0_174]) ).

cnf(c_0_695,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a1447) ),
    c_0_574 ).

cnf(c_0_696,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(X1)
    | c3_1(X1)
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_575,c_0_576]) ).

cnf(c_0_697,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp4
    | hskp0
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_577,c_0_165])]) ).

cnf(c_0_698,negated_conjecture,
    ( ~ hskp19
    | c2_1(a1460)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_329]),c_0_243]) ).

cnf(c_0_699,negated_conjecture,
    ( ~ hskp17
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_329]),c_0_176]),c_0_175]) ).

cnf(c_0_700,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(X1)
    | c3_1(X1)
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_578,c_0_496]) ).

cnf(c_0_701,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp16
    | hskp7
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_579,c_0_165])]) ).

cnf(c_0_702,negated_conjecture,
    ( ~ hskp16
    | c1_1(a1454) ),
    c_0_580 ).

cnf(c_0_703,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp23
    | c3_1(X1)
    | epred53_0
    | epred59_0 ),
    inference(spm,[status(thm)],[c_0_581,c_0_582]) ).

cnf(c_0_704,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp19
    | hskp3
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_583,c_0_165])]) ).

cnf(c_0_705,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp11
    | hskp0
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_584,c_0_165])]) ).

cnf(c_0_706,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp21
    | hskp9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_585,c_0_165])]) ).

cnf(c_0_707,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred66_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_586]),c_0_165])]) ).

cnf(c_0_708,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred65_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_587]),c_0_165])]) ).

cnf(c_0_709,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp28
    | c1_1(X1)
    | epred52_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_407]),c_0_165])]) ).

cnf(c_0_710,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp0
    | c0_1(X1)
    | c2_1(X1)
    | epred51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_588]),c_0_165])]) ).

cnf(c_0_711,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp6
    | c1_1(X1)
    | c2_1(X1)
    | epred50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_589]),c_0_165])]) ).

cnf(c_0_712,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred63_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_590]),c_0_165])]) ).

cnf(c_0_713,negated_conjecture,
    ( hskp0
    | c2_1(X1)
    | c3_1(X1)
    | epred17_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_578,c_0_529]) ).

cnf(c_0_714,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp13
    | c1_1(X1)
    | c3_1(X1)
    | epred44_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_591]),c_0_165])]) ).

cnf(c_0_715,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp23
    | c3_1(X1)
    | epred40_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_592]),c_0_165])]) ).

cnf(c_0_716,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred60_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_452]),c_0_165])]) ).

cnf(c_0_717,negated_conjecture,
    ( ~ c2_1(X1)
    | c3_1(X1)
    | epred28_0
    | epred54_0
    | epred59_0 ),
    inference(spm,[status(thm)],[c_0_331,c_0_582]) ).

cnf(c_0_718,negated_conjecture,
    ( hskp17
    | c2_1(X1)
    | c3_1(X1)
    | epred7_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_593,c_0_532]) ).

cnf(c_0_719,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp0
    | c0_1(X1)
    | c1_1(X1)
    | epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_594]),c_0_165])]) ).

cnf(c_0_720,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | c3_1(X1)
    | epred35_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_595,c_0_465]) ).

cnf(c_0_721,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp5
    | c2_1(X1)
    | epred37_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_596]),c_0_165])]) ).

cnf(c_0_722,negated_conjecture,
    ( hskp5
    | hskp0
    | epred13_0
    | epred20_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_552,c_0_597]) ).

cnf(c_0_723,negated_conjecture,
    ( ~ hskp12
    | epred8_0
    | epred24_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_513,c_0_598]) ).

cnf(c_0_724,negated_conjecture,
    ( hskp12
    | epred8_0
    | epred20_0
    | epred24_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_599,c_0_600]) ).

cnf(c_0_725,negated_conjecture,
    ( ~ hskp7
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_559]),c_0_459]),c_0_458]) ).

cnf(c_0_726,negated_conjecture,
    ( ~ hskp0
    | hskp7
    | epred34_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_601]) ).

cnf(c_0_727,negated_conjecture,
    ( ~ hskp12
    | epred24_0
    | epred33_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_602,c_0_598]) ).

cnf(c_0_728,negated_conjecture,
    ( hskp12
    | epred24_0
    | epred41_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_439,c_0_603]) ).

cnf(c_0_729,negated_conjecture,
    ( ~ epred33_0
    | epred24_0
    | epred41_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_604,c_0_605]) ).

cnf(c_0_730,negated_conjecture,
    ( ~ hskp27
    | epred8_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_606,c_0_289]) ).

cnf(c_0_731,negated_conjecture,
    ( hskp27
    | hskp13
    | epred25_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_607,c_0_291]) ).

cnf(c_0_732,negated_conjecture,
    ( epred22_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_556,c_0_608]) ).

cnf(c_0_733,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp19
    | c3_1(X1)
    | epred26_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_609]),c_0_165])]) ).

cnf(c_0_734,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a1458)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_419]),c_0_417]) ).

cnf(c_0_735,negated_conjecture,
    ( ~ hskp18
    | hskp20
    | c3_1(a1458)
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_419]),c_0_417]) ).

cnf(c_0_736,negated_conjecture,
    ( ~ hskp27
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_251]),c_0_252]),c_0_520]) ).

cnf(c_0_737,negated_conjecture,
    ( ~ hskp27
    | epred20_0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_252]),c_0_520]) ).

cnf(c_0_738,negated_conjecture,
    ( ~ hskp21
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_398]),c_0_396]),c_0_395]) ).

cnf(c_0_739,negated_conjecture,
    ( ~ hskp28
    | ~ c2_1(a1456)
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_611]),c_0_612]) ).

cnf(c_0_740,negated_conjecture,
    ( ~ hskp28
    | hskp22
    | c2_1(a1456)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_611]),c_0_613]) ).

cnf(c_0_741,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a1437)
    | hskp22
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_614]),c_0_615]) ).

cnf(c_0_742,negated_conjecture,
    ( ~ hskp6
    | hskp0
    | c3_1(a1437)
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_614]),c_0_615]) ).

cnf(c_0_743,negated_conjecture,
    ( ~ hskp8
    | hskp22
    | epred21_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_616]) ).

cnf(c_0_744,negated_conjecture,
    ( ~ hskp19
    | hskp0
    | epred17_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_617]) ).

cnf(c_0_745,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1447) ),
    c_0_618 ).

cnf(c_0_746,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1447) ),
    c_0_619 ).

cnf(c_0_747,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a1477)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_314]),c_0_568]) ).

cnf(c_0_748,negated_conjecture,
    ( ~ hskp23
    | hskp3
    | c3_1(a1477)
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_422]),c_0_573]) ).

cnf(c_0_749,negated_conjecture,
    ( ~ hskp5
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_403]),c_0_404]),c_0_565]) ).

cnf(c_0_750,negated_conjecture,
    ( hskp17
    | hskp0
    | epred7_0
    | epred11_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_621,c_0_622]) ).

cnf(c_0_751,negated_conjecture,
    ( hskp29
    | hskp0
    | epred28_0
    | epred64_0 ),
    inference(spm,[status(thm)],[c_0_623,c_0_432]) ).

cnf(c_0_752,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred57_0 ),
    inference(split_equiv,[status(thm)],[c_0_624]) ).

cnf(c_0_753,negated_conjecture,
    ( hskp3
    | hskp8
    | hskp30 ),
    clause33 ).

cnf(c_0_754,negated_conjecture,
    ( ~ epred24_0
    | ~ epred59_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_409,c_0_625]) ).

cnf(c_0_755,negated_conjecture,
    ( ~ epred60_0
    | epred24_0
    | epred28_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_626,c_0_627]) ).

cnf(c_0_756,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a1448)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_213]),c_0_214]) ).

cnf(c_0_757,negated_conjecture,
    ( ~ hskp8
    | c2_1(a1441)
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_472]),c_0_315]) ).

cnf(c_0_758,negated_conjecture,
    ( ~ hskp7
    | c2_1(a1438)
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_472]),c_0_459]) ).

cnf(c_0_759,negated_conjecture,
    ( ~ hskp3
    | c3_1(a1431)
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_200]),c_0_198]) ).

cnf(c_0_760,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a1437) ),
    c_0_629 ).

cnf(c_0_761,negated_conjecture,
    ( ~ hskp22
    | c2_1(a1468)
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_179]),c_0_180]) ).

cnf(c_0_762,negated_conjecture,
    ( hskp17
    | hskp3
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_558,c_0_204]) ).

cnf(c_0_763,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp11
    | hskp5
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_630 ).

cnf(c_0_764,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | hskp22
    | c3_1(X1) ),
    c_0_631 ).

cnf(c_0_765,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp11
    | hskp12
    | c3_1(X1) ),
    c_0_632 ).

cnf(c_0_766,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp13
    | hskp25 ),
    c_0_633 ).

cnf(c_0_767,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | hskp0 ),
    c_0_634 ).

fof(c_0_768,plain,
    ( ~ epred55_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | ~ ndr1_0
        | c0_1(X2)
        | hskp18 ) ),
    introduced(definition) ).

fof(c_0_769,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp12 ) ),
    introduced(definition) ).

cnf(c_0_770,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c1_1(X2) ),
    c_0_635 ).

cnf(c_0_771,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2) ),
    c_0_636 ).

cnf(c_0_772,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_637 ).

cnf(c_0_773,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_638 ).

cnf(c_0_774,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_639 ).

cnf(c_0_775,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_640 ).

cnf(c_0_776,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp18
    | c0_1(X2) ),
    c_0_641 ).

cnf(c_0_777,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c3_1(X2) ),
    c_0_642 ).

cnf(c_0_778,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | c2_1(X2)
    | c0_1(X2) ),
    c_0_643 ).

cnf(c_0_779,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp6
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_644 ).

cnf(c_0_780,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_645 ).

cnf(c_0_781,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c3_1(X2)
    | c1_1(X2) ),
    c_0_646 ).

cnf(c_0_782,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp15
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_647 ).

cnf(c_0_783,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_648 ).

cnf(c_0_784,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_649 ).

cnf(c_0_785,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_650 ).

cnf(c_0_786,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    c_0_651 ).

cnf(c_0_787,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp7
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2) ),
    c_0_652 ).

cnf(c_0_788,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp7
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_653 ).

cnf(c_0_789,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp12
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1) ),
    c_0_654 ).

cnf(c_0_790,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp14
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_655 ).

cnf(c_0_791,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp19
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_656 ).

cnf(c_0_792,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp20
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_657 ).

cnf(c_0_793,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp21
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_658 ).

cnf(c_0_794,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp0
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_659 ).

cnf(c_0_795,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_660 ).

cnf(c_0_796,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp5
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_661 ).

cnf(c_0_797,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp9
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_662 ).

cnf(c_0_798,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp17
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    c_0_663 ).

cnf(c_0_799,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp18
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_664 ).

cnf(c_0_800,negated_conjecture,
    ( ~ hskp0
    | epred23_0
    | epred34_0
    | epred12_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_665,c_0_666]) ).

cnf(c_0_801,negated_conjecture,
    ( hskp14
    | hskp8
    | hskp7
    | epred35_0
    | epred64_0 ),
    inference(spm,[status(thm)],[c_0_667,c_0_319]) ).

cnf(c_0_802,negated_conjecture,
    ( ~ hskp9
    | hskp7
    | hskp0
    | c2_1(a1444)
    | c3_1(a1444)
    | epred17_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_531,c_0_668]) ).

cnf(c_0_803,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred34_0
    | epred4_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_669,c_0_670]) ).

cnf(c_0_804,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1427)
    | hskp7
    | epred34_0
    | hskp23
    | c3_1(a1427)
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_581,c_0_601]) ).

cnf(c_0_805,negated_conjecture,
    ( hskp12
    | hskp8
    | epred13_0
    | epred8_0
    | epred24_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_671,c_0_672]) ).

cnf(c_0_806,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a1504)
    | hskp14
    | epred27_0
    | hskp15
    | c0_1(a1504)
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_673,c_0_674]) ).

cnf(c_0_807,negated_conjecture,
    ( ~ epred24_0
    | ~ epred52_0
    | ~ epred59_0
    | epred25_0
    | epred41_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_675,c_0_676]) ).

cnf(c_0_808,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1449)
    | hskp20
    | c3_1(a1449)
    | epred25_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_677,c_0_334]) ).

cnf(c_0_809,negated_conjecture,
    ( ~ c2_1(a1427)
    | ~ hskp0
    | c3_1(a1427)
    | epred59_0
    | hskp20
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_678,c_0_582]) ).

cnf(c_0_810,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a1434)
    | c2_1(a1434)
    | epred16_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_679,c_0_492]) ).

cnf(c_0_811,negated_conjecture,
    ( ~ hskp24
    | hskp22
    | c1_1(a1487)
    | c2_1(a1487)
    | epred14_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_680,c_0_473]) ).

cnf(c_0_812,negated_conjecture,
    ( ~ hskp24
    | hskp22
    | c1_1(a1487)
    | c2_1(a1487)
    | epred4_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_681,c_0_473]) ).

cnf(c_0_813,negated_conjecture,
    ( ~ hskp16
    | hskp0
    | epred17_0
    | hskp9
    | c0_1(a1454)
    | c3_1(a1454)
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_682]) ).

cnf(c_0_814,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | epred15_0
    | hskp0
    | epred3_0
    | epred5_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_683,c_0_684]) ).

cnf(c_0_815,negated_conjecture,
    ( hskp8
    | hskp3
    | epred13_0
    | epred15_0
    | hskp0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_685,c_0_686]) ).

cnf(c_0_816,negated_conjecture,
    ( ~ hskp23
    | hskp9
    | epred11_0
    | hskp7
    | hskp6
    | c0_1(a1477)
    | c1_1(a1477) ),
    inference(spm,[status(thm)],[c_0_687,c_0_688]) ).

cnf(c_0_817,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a1449)
    | hskp9
    | epred11_0
    | hskp8
    | c3_1(a1449)
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_689,c_0_690]) ).

cnf(c_0_818,negated_conjecture,
    ( ~ hskp23
    | epred58_0
    | hskp7
    | hskp6
    | c0_1(a1477)
    | c1_1(a1477) ),
    inference(spm,[status(thm)],[c_0_687,c_0_691]) ).

cnf(c_0_819,negated_conjecture,
    ( ~ c2_1(a1427)
    | ~ hskp0
    | c3_1(a1427)
    | epred62_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_244]) ).

cnf(c_0_820,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a1431)
    | c2_1(a1431)
    | epred12_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_692,c_0_200]) ).

cnf(c_0_821,negated_conjecture,
    ( ~ c3_1(a1487)
    | ~ hskp24
    | c2_1(a1487)
    | epred14_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_385,c_0_693]) ).

cnf(c_0_822,negated_conjecture,
    ( ~ c3_1(a1487)
    | ~ hskp24
    | c2_1(a1487)
    | epred12_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_385,c_0_694]) ).

cnf(c_0_823,negated_conjecture,
    ( ~ hskp11
    | hskp8
    | hskp7
    | c3_1(a1447)
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_695,c_0_696]) ).

cnf(c_0_824,negated_conjecture,
    ( ~ hskp7
    | epred4_0
    | hskp4
    | hskp0
    | c0_1(a1438)
    | c1_1(a1438) ),
    inference(spm,[status(thm)],[c_0_697,c_0_550]) ).

cnf(c_0_825,negated_conjecture,
    ( ~ hskp19
    | epred4_0
    | hskp9
    | c0_1(a1460)
    | c3_1(a1460)
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_698]) ).

cnf(c_0_826,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred7_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_699,c_0_532]) ).

cnf(c_0_827,negated_conjecture,
    ( hskp8
    | hskp7
    | c3_1(X1)
    | epred61_0
    | hskp4
    | hskp0
    | c0_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_697,c_0_700]) ).

cnf(c_0_828,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp8
    | c3_1(X1)
    | epred61_0
    | hskp16
    | hskp7
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_701,c_0_700]) ).

cnf(c_0_829,negated_conjecture,
    ( ~ hskp3
    | hskp8
    | hskp7
    | c3_1(a1431)
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_700]) ).

cnf(c_0_830,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp7
    | c2_1(X1)
    | hskp8
    | c3_1(X1)
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_689,c_0_496]) ).

cnf(c_0_831,negated_conjecture,
    ( hskp8
    | c2_1(X1)
    | hskp7
    | c1_1(X1)
    | c3_1(X1)
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_397,c_0_496]) ).

cnf(c_0_832,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp8
    | hskp7
    | c2_1(X1)
    | hskp20
    | c3_1(X1)
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_306,c_0_496]) ).

cnf(c_0_833,negated_conjecture,
    ( ~ hskp17
    | hskp8
    | hskp7
    | c2_1(a1457)
    | c3_1(a1457) ),
    inference(spm,[status(thm)],[c_0_173,c_0_496]) ).

cnf(c_0_834,negated_conjecture,
    ( ~ hskp26
    | hskp4
    | hskp0
    | c0_1(a1517)
    | c1_1(a1517) ),
    inference(spm,[status(thm)],[c_0_697,c_0_369]) ).

cnf(c_0_835,negated_conjecture,
    ( ~ hskp23
    | hskp4
    | hskp0
    | c0_1(a1477)
    | c1_1(a1477) ),
    inference(spm,[status(thm)],[c_0_697,c_0_568]) ).

cnf(c_0_836,negated_conjecture,
    ( ~ hskp16
    | hskp3
    | hskp0
    | c2_1(a1454)
    | c3_1(a1454) ),
    inference(spm,[status(thm)],[c_0_564,c_0_702]) ).

cnf(c_0_837,negated_conjecture,
    ( ~ hskp13
    | hskp23
    | c3_1(a1449)
    | epred53_0
    | epred59_0 ),
    inference(spm,[status(thm)],[c_0_703,c_0_335]) ).

cnf(c_0_838,negated_conjecture,
    ( ~ hskp0
    | hskp23
    | c3_1(a1427)
    | epred53_0
    | epred59_0 ),
    inference(spm,[status(thm)],[c_0_703,c_0_257]) ).

cnf(c_0_839,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a1468)
    | hskp19
    | hskp3
    | c0_1(a1468) ),
    inference(spm,[status(thm)],[c_0_704,c_0_180]) ).

cnf(c_0_840,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a1504)
    | hskp16
    | hskp7
    | c0_1(a1504) ),
    inference(spm,[status(thm)],[c_0_701,c_0_325]) ).

cnf(c_0_841,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a1466)
    | hskp11
    | hskp0
    | c1_1(a1466) ),
    inference(spm,[status(thm)],[c_0_705,c_0_398]) ).

cnf(c_0_842,negated_conjecture,
    ( ~ hskp30
    | ~ c1_1(a1507)
    | ~ c2_1(a1507)
    | hskp21
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_706,c_0_304]) ).

cnf(c_0_843,negated_conjecture,
    ( ~ c3_1(a1487)
    | ~ hskp24
    | c2_1(a1487)
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_385,c_0_707]) ).

cnf(c_0_844,negated_conjecture,
    ( ~ c3_1(a1441)
    | ~ hskp8
    | c2_1(a1441)
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_707]) ).

cnf(c_0_845,negated_conjecture,
    ( ~ c3_1(a1438)
    | ~ hskp7
    | c2_1(a1438)
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_458,c_0_707]) ).

cnf(c_0_846,negated_conjecture,
    ( ~ c3_1(a1457)
    | ~ hskp17
    | c2_1(a1457)
    | epred66_0 ),
    inference(spm,[status(thm)],[c_0_176,c_0_707]) ).

cnf(c_0_847,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1454)
    | hskp23
    | c3_1(a1454)
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_581,c_0_702]) ).

cnf(c_0_848,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1449)
    | hskp23
    | c3_1(a1449)
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_581,c_0_334]) ).

cnf(c_0_849,negated_conjecture,
    ( ~ c2_1(a1477)
    | ~ c3_1(a1477)
    | ~ hskp23
    | epred65_0 ),
    inference(spm,[status(thm)],[c_0_573,c_0_708]) ).

cnf(c_0_850,negated_conjecture,
    ( ~ c2_1(a1466)
    | ~ c3_1(a1466)
    | ~ hskp21
    | epred65_0 ),
    inference(spm,[status(thm)],[c_0_395,c_0_708]) ).

cnf(c_0_851,negated_conjecture,
    ( ~ c2_1(a1441)
    | ~ c3_1(a1441)
    | ~ hskp8
    | epred65_0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_708]) ).

cnf(c_0_852,negated_conjecture,
    ( ~ c2_1(a1438)
    | ~ c3_1(a1438)
    | ~ hskp7
    | epred65_0 ),
    inference(spm,[status(thm)],[c_0_458,c_0_708]) ).

cnf(c_0_853,negated_conjecture,
    ( ~ c3_1(X1)
    | c2_1(X1)
    | epred4_0
    | hskp28
    | c1_1(X1)
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_709,c_0_329]) ).

cnf(c_0_854,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a1448)
    | hskp28
    | c1_1(a1448)
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_709,c_0_213]) ).

cnf(c_0_855,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a1441)
    | hskp28
    | c1_1(a1441)
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_709,c_0_317]) ).

cnf(c_0_856,negated_conjecture,
    ( ~ hskp3
    | hskp0
    | c0_1(a1431)
    | c2_1(a1431)
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_710,c_0_200]) ).

cnf(c_0_857,negated_conjecture,
    ( ~ hskp24
    | hskp6
    | c1_1(a1487)
    | c2_1(a1487)
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_711,c_0_473]) ).

cnf(c_0_858,negated_conjecture,
    ( ~ hskp7
    | hskp6
    | c1_1(a1438)
    | c2_1(a1438)
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_711,c_0_459]) ).

cnf(c_0_859,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp0
    | c2_1(X1)
    | epred17_0
    | hskp8
    | c3_1(X1)
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_689,c_0_529]) ).

cnf(c_0_860,negated_conjecture,
    ( ~ hskp30
    | ~ c1_1(a1507)
    | hskp8
    | c3_1(a1507)
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_689,c_0_304]) ).

cnf(c_0_861,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1452)
    | hskp8
    | c3_1(a1452)
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_689,c_0_230]) ).

cnf(c_0_862,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1427)
    | hskp8
    | c3_1(a1427)
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_689,c_0_256]) ).

cnf(c_0_863,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a1441)
    | c2_1(a1441)
    | epred63_0 ),
    inference(spm,[status(thm)],[c_0_712,c_0_317]) ).

cnf(c_0_864,negated_conjecture,
    ( ~ hskp5
    | hskp0
    | c3_1(a1435)
    | epred17_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_404,c_0_713]) ).

cnf(c_0_865,negated_conjecture,
    ( ~ hskp9
    | hskp0
    | c3_1(a1444)
    | epred17_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_533,c_0_713]) ).

cnf(c_0_866,negated_conjecture,
    ( ~ hskp14
    | hskp13
    | c1_1(a1451)
    | c3_1(a1451)
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_714,c_0_277]) ).

cnf(c_0_867,negated_conjecture,
    ( ~ hskp0
    | hskp13
    | c1_1(a1427)
    | c3_1(a1427)
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_714,c_0_257]) ).

cnf(c_0_868,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1438)
    | hskp15
    | c0_1(a1438)
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_673,c_0_459]) ).

cnf(c_0_869,negated_conjecture,
    ( ~ hskp5
    | c2_1(a1435)
    | c3_1(a1435)
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_578,c_0_403]) ).

cnf(c_0_870,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1427)
    | hskp23
    | c3_1(a1427)
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_715,c_0_256]) ).

cnf(c_0_871,negated_conjecture,
    ( ~ hskp10
    | c1_1(a1445)
    | c3_1(a1445)
    | epred60_0 ),
    inference(spm,[status(thm)],[c_0_716,c_0_372]) ).

cnf(c_0_872,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1427)
    | c3_1(a1427)
    | epred60_0 ),
    inference(spm,[status(thm)],[c_0_716,c_0_256]) ).

cnf(c_0_873,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1427)
    | epred28_0
    | epred54_0
    | epred59_0 ),
    inference(spm,[status(thm)],[c_0_717,c_0_257]) ).

cnf(c_0_874,negated_conjecture,
    ( ~ c2_1(a1477)
    | ~ hskp23
    | c3_1(a1477)
    | epred59_0 ),
    inference(spm,[status(thm)],[c_0_573,c_0_582]) ).

cnf(c_0_875,negated_conjecture,
    ( ~ c2_1(a1451)
    | ~ hskp14
    | c3_1(a1451)
    | epred59_0 ),
    inference(spm,[status(thm)],[c_0_276,c_0_582]) ).

cnf(c_0_876,negated_conjecture,
    ( ~ hskp9
    | hskp17
    | c3_1(a1444)
    | epred7_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_533,c_0_718]) ).

cnf(c_0_877,negated_conjecture,
    ( ~ hskp26
    | hskp0
    | c0_1(a1517)
    | c1_1(a1517)
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_719,c_0_369]) ).

cnf(c_0_878,negated_conjecture,
    ( ~ hskp23
    | hskp0
    | c0_1(a1477)
    | c1_1(a1477)
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_719,c_0_568]) ).

cnf(c_0_879,negated_conjecture,
    ( ~ hskp3
    | c2_1(a1431)
    | c3_1(a1431)
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_593,c_0_200]) ).

cnf(c_0_880,negated_conjecture,
    ( ~ hskp11
    | hskp7
    | c3_1(a1447)
    | epred35_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_695,c_0_720]) ).

cnf(c_0_881,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a1448)
    | hskp5
    | c2_1(a1448)
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_721,c_0_213]) ).

cnf(c_0_882,negated_conjecture,
    ( hskp0
    | epred3_0
    | epred13_0
    | epred20_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_685,c_0_722]) ).

cnf(c_0_883,negated_conjecture,
    ( ~ hskp17
    | hskp7
    | c3_1(a1457)
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_465]),c_0_175]) ).

cnf(c_0_884,negated_conjecture,
    ( ~ hskp9
    | hskp7
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_465]),c_0_533]),c_0_534]) ).

cnf(c_0_885,negated_conjecture,
    ( epred8_0
    | epred20_0
    | epred24_0
    | epred33_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_723,c_0_724]) ).

cnf(c_0_886,negated_conjecture,
    ( ~ hskp0
    | epred14_0
    | epred34_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_725,c_0_726]) ).

cnf(c_0_887,negated_conjecture,
    ( epred24_0
    | epred41_0
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_728]),c_0_729]) ).

cnf(c_0_888,negated_conjecture,
    ( hskp13
    | epred8_0
    | epred25_0
    | epred41_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_730,c_0_731]) ).

cnf(c_0_889,negated_conjecture,
    ( hskp0
    | epred20_0
    | epred27_0
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_320,c_0_597]) ).

cnf(c_0_890,negated_conjecture,
    ( ~ epred24_0
    | ~ epred52_0
    | ~ epred59_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_675,c_0_732]) ).

cnf(c_0_891,negated_conjecture,
    ( ~ hskp0
    | hskp19
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_733,c_0_256]),c_0_257]),c_0_464]) ).

cnf(c_0_892,negated_conjecture,
    ( ~ hskp18
    | hskp20
    | epred25_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_734,c_0_735]) ).

cnf(c_0_893,negated_conjecture,
    ( hskp13
    | epred25_0
    | epred41_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_736,c_0_731]) ).

cnf(c_0_894,negated_conjecture,
    ( hskp13
    | epred20_0
    | epred25_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_737,c_0_731]) ).

cnf(c_0_895,negated_conjecture,
    ( ~ hskp0
    | epred8_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_738,c_0_547]) ).

cnf(c_0_896,negated_conjecture,
    ( ~ hskp28
    | hskp22
    | epred21_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_739,c_0_740]) ).

cnf(c_0_897,negated_conjecture,
    ( ~ hskp12
    | epred16_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_558,c_0_237]) ).

cnf(c_0_898,negated_conjecture,
    ( ~ hskp6
    | hskp22
    | hskp0
    | epred3_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_741,c_0_742]) ).

cnf(c_0_899,negated_conjecture,
    ( ~ hskp8
    | epred16_0
    | epred21_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_558,c_0_743]) ).

cnf(c_0_900,negated_conjecture,
    ( hskp8
    | hskp0
    | epred17_0
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_319]),c_0_320]) ).

cnf(c_0_901,negated_conjecture,
    ( ~ hskp11
    | hskp0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_745,c_0_529]),c_0_695]),c_0_746]) ).

cnf(c_0_902,negated_conjecture,
    ( ~ hskp23
    | hskp3
    | epred15_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_747,c_0_748]) ).

cnf(c_0_903,negated_conjecture,
    ( hskp12
    | hskp8
    | hskp0
    | epred3_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_685,c_0_672]) ).

cnf(c_0_904,negated_conjecture,
    ( hskp12
    | hskp8
    | epred6_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_749,c_0_672]) ).

cnf(c_0_905,negated_conjecture,
    ( hskp0
    | epred4_0
    | epred7_0
    | epred11_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_699,c_0_750]) ).

cnf(c_0_906,negated_conjecture,
    ( ~ hskp0
    | hskp5
    | c1_1(a1427)
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_257]),c_0_464]) ).

cnf(c_0_907,negated_conjecture,
    ( ~ hskp23
    | hskp9
    | epred11_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_747,c_0_688]) ).

cnf(c_0_908,negated_conjecture,
    ( hskp0
    | epred20_0
    | epred28_0
    | epred64_0 ),
    inference(spm,[status(thm)],[c_0_506,c_0_751]) ).

cnf(c_0_909,negated_conjecture,
    ( ~ hskp23
    | epred64_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_449]),c_0_568]),c_0_573]) ).

cnf(c_0_910,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1438)
    | epred64_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_449]),c_0_458]) ).

cnf(c_0_911,negated_conjecture,
    ( ~ hskp9
    | epred57_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_752]),c_0_533]),c_0_534]) ).

cnf(c_0_912,negated_conjecture,
    ( hskp8
    | hskp3
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_753]) ).

cnf(c_0_913,negated_conjecture,
    ( ~ epred59_0
    | ~ epred60_0
    | epred28_0
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_754,c_0_755]) ).

cnf(c_0_914,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a1441)
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_317]),c_0_315]) ).

cnf(c_0_915,negated_conjecture,
    ( ~ hskp28
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_611]),c_0_612]),c_0_613]) ).

cnf(c_0_916,negated_conjecture,
    ( ~ hskp12
    | epred24_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_756,c_0_509]) ).

cnf(c_0_917,negated_conjecture,
    ( ~ hskp8
    | epred22_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_757]) ).

cnf(c_0_918,negated_conjecture,
    ( ~ hskp7
    | epred22_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_758]) ).

cnf(c_0_919,negated_conjecture,
    ( ~ hskp3
    | epred18_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_481,c_0_759]) ).

cnf(c_0_920,negated_conjecture,
    ( ~ hskp6
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_614]),c_0_760]),c_0_615]) ).

cnf(c_0_921,negated_conjecture,
    ( ~ hskp22
    | epred18_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_761]) ).

cnf(c_0_922,negated_conjecture,
    ( hskp3
    | epred4_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_699,c_0_762]) ).

cnf(c_0_923,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a1457)
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_559]),c_0_176]) ).

cnf(c_0_924,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp11
    | hskp5
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_763,c_0_165])]) ).

cnf(c_0_925,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp22
    | hskp3
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_764,c_0_165])]) ).

cnf(c_0_926,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp12
    | hskp11
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_765,c_0_165])]) ).

cnf(c_0_927,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp25
    | hskp13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_766,c_0_165])]) ).

cnf(c_0_928,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp25
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_767,c_0_165])]) ).

cnf(c_0_929,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp18
    | c0_1(X1)
    | epred55_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_768]),c_0_165])]) ).

cnf(c_0_930,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp28
    | c1_1(X1)
    | epred14_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_709,c_0_559]) ).

cnf(c_0_931,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp12
    | c3_1(X1)
    | epred31_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_769]),c_0_165])]) ).

cnf(c_0_932,negated_conjecture,
    ( ~ hskp29
    | epred28_0
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_428]),c_0_429]) ).

cnf(c_0_933,negated_conjecture,
    ( ~ hskp9
    | epred4_0
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_386]),c_0_533]) ).

cnf(c_0_934,negated_conjecture,
    ( ~ epred41_0
    | ~ epred54_0
    | ~ epred66_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_770,c_0_586]),c_0_270]),c_0_207]) ).

cnf(c_0_935,negated_conjecture,
    ( ~ epred48_0
    | ~ epred64_0
    | ~ epred65_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_771,c_0_587]),c_0_380]),c_0_523]) ).

cnf(c_0_936,negated_conjecture,
    ( ~ epred16_0
    | ~ epred63_0
    | ~ epred64_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_772,c_0_590]),c_0_380]),c_0_415]) ).

cnf(c_0_937,negated_conjecture,
    ( ~ epred28_0
    | ~ epred61_0
    | ~ epred62_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_773,c_0_498]),c_0_223]),c_0_250]) ).

cnf(c_0_938,negated_conjecture,
    ( ~ epred14_0
    | ~ epred57_0
    | ~ epred59_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_774,c_0_347]),c_0_624]),c_0_476]) ).

cnf(c_0_939,negated_conjecture,
    ( ~ epred56_0
    | ~ epred57_0
    | ~ epred58_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_775,c_0_504]),c_0_624]),c_0_490]) ).

cnf(c_0_940,negated_conjecture,
    ( ~ epred48_0
    | ~ epred55_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_776,c_0_768]),c_0_523]) ).

cnf(c_0_941,negated_conjecture,
    ( ~ epred53_0
    | ~ epred54_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_777,c_0_500]),c_0_207]) ).

cnf(c_0_942,negated_conjecture,
    ( ~ epred45_0
    | ~ epred51_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_778,c_0_588]),c_0_265]) ).

cnf(c_0_943,negated_conjecture,
    ( ~ epred45_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_779,c_0_589]),c_0_265]) ).

cnf(c_0_944,negated_conjecture,
    ( ~ epred41_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_780,c_0_570]),c_0_270]) ).

cnf(c_0_945,negated_conjecture,
    ( ~ epred44_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_781,c_0_591]),c_0_265]) ).

cnf(c_0_946,negated_conjecture,
    ( ~ epred28_0
    | ~ epred43_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_782,c_0_553]),c_0_250]) ).

cnf(c_0_947,negated_conjecture,
    ( ~ epred40_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_783,c_0_592]),c_0_270]) ).

cnf(c_0_948,negated_conjecture,
    ( ~ epred16_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_784,c_0_594]),c_0_415]) ).

cnf(c_0_949,negated_conjecture,
    ( ~ epred14_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_785,c_0_596]),c_0_476]) ).

cnf(c_0_950,negated_conjecture,
    ( ~ epred18_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_786,c_0_505]),c_0_357]) ).

cnf(c_0_951,negated_conjecture,
    ( ~ epred20_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_787,c_0_401]),c_0_166]) ).

cnf(c_0_952,negated_conjecture,
    ( ~ epred28_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_788,c_0_341]),c_0_250]) ).

cnf(c_0_953,negated_conjecture,
    ( ~ epred31_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_789,c_0_769]),c_0_543]) ).

cnf(c_0_954,negated_conjecture,
    ( ~ epred27_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_790,c_0_307]),c_0_250]) ).

cnf(c_0_955,negated_conjecture,
    ( ~ epred24_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_791,c_0_609]),c_0_272]) ).

cnf(c_0_956,negated_conjecture,
    ( ~ epred24_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_792,c_0_268]),c_0_272]) ).

cnf(c_0_957,negated_conjecture,
    ( ~ epred23_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_793,c_0_399]),c_0_272]) ).

cnf(c_0_958,negated_conjecture,
    ( ~ epred17_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_794,c_0_443]),c_0_357]) ).

cnf(c_0_959,negated_conjecture,
    ( ~ epred15_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_795,c_0_362]),c_0_415]) ).

cnf(c_0_960,negated_conjecture,
    ( ~ epred13_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_796,c_0_405]),c_0_476]) ).

cnf(c_0_961,negated_conjecture,
    ( ~ epred11_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_797,c_0_322]),c_0_161]) ).

cnf(c_0_962,negated_conjecture,
    ( ~ epred7_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_798,c_0_445]),c_0_228]) ).

cnf(c_0_963,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_799,c_0_361]),c_0_530]) ).

cnf(c_0_964,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_800,c_0_801,c_0_802,c_0_803,c_0_804,c_0_805,c_0_806,c_0_807,c_0_808,c_0_809,c_0_810,c_0_811,c_0_812,c_0_813,c_0_814,c_0_815,c_0_816,c_0_817,c_0_818,c_0_819,c_0_820,c_0_821,c_0_822,c_0_823,c_0_824,c_0_825,c_0_826,c_0_827,c_0_828,c_0_829,c_0_830,c_0_831,c_0_832,c_0_833,c_0_834,c_0_835,c_0_836,c_0_837,c_0_838,c_0_839,c_0_840,c_0_841,c_0_842,c_0_843,c_0_844,c_0_845,c_0_846,c_0_847,c_0_848,c_0_849,c_0_850,c_0_851,c_0_852,c_0_853,c_0_854,c_0_855,c_0_856,c_0_857,c_0_858,c_0_859,c_0_860,c_0_861,c_0_862,c_0_863,c_0_864,c_0_865,c_0_866,c_0_867,c_0_868,c_0_869,c_0_870,c_0_871,c_0_872,c_0_873,c_0_874,c_0_875,c_0_876,c_0_877,c_0_878,c_0_879,c_0_880,c_0_881,c_0_882,c_0_883,c_0_884,c_0_885,c_0_546,c_0_462,c_0_886,c_0_887,c_0_551,c_0_888,c_0_889,c_0_597,c_0_890,c_0_410,c_0_557,c_0_891,c_0_677,c_0_356,c_0_892,c_0_893,c_0_894,c_0_521,c_0_895,c_0_547,c_0_896,c_0_897,c_0_898,c_0_899,c_0_743,c_0_900,c_0_901,c_0_902,c_0_748,c_0_485,c_0_903,c_0_904,c_0_672,c_0_905,c_0_906,c_0_535,c_0_907,c_0_908,c_0_909,c_0_910,c_0_320,c_0_911,c_0_912,c_0_608,c_0_913,c_0_292,c_0_621,c_0_914,c_0_692,c_0_915,c_0_916,c_0_756,c_0_747,c_0_413,c_0_439,c_0_917,c_0_918,c_0_669,c_0_375,c_0_665,c_0_544,c_0_919,c_0_536,c_0_754,c_0_625,c_0_381,c_0_920,c_0_556,c_0_757,c_0_506,c_0_921,c_0_203,c_0_575,c_0_481,c_0_922,c_0_558,c_0_725,c_0_923,c_0_545,c_0_216,c_0_685,c_0_293,c_0_749,c_0_550,c_0_699,c_0_924,c_0_925,c_0_926,c_0_705,c_0_927,c_0_928,c_0_929,c_0_581,c_0_930,c_0_709,c_0_689,c_0_673,c_0_715,c_0_582,c_0_719,c_0_931,c_0_368,c_0_306,c_0_932,c_0_529,c_0_454,c_0_933,c_0_379,c_0_199,c_0_244,c_0_572,c_0_752,c_0_229,c_0_610,c_0_303,c_0_314,c_0_283,c_0_316,c_0_420,c_0_178,c_0_416,c_0_559,c_0_221,c_0_253,c_0_934,c_0_935,c_0_329,c_0_936,c_0_937,c_0_409,c_0_540,c_0_938,c_0_939,c_0_940,c_0_941,c_0_470,c_0_942,c_0_943,c_0_944,c_0_232,c_0_945,c_0_946,c_0_947,c_0_948,c_0_949,c_0_950,c_0_951,c_0_952,c_0_604,c_0_953,c_0_954,c_0_955,c_0_956,c_0_957,c_0_554,c_0_958,c_0_959,c_0_960,c_0_961,c_0_349,c_0_962,c_0_963,c_0_456,c_0_464,c_0_198,c_0_197,c_0_494,c_0_565,c_0_404,c_0_458,c_0_460,c_0_313,c_0_534,c_0_533,c_0_437,c_0_373,c_0_746,c_0_215,c_0_571,c_0_278,c_0_276,c_0_233,c_0_561,c_0_560,c_0_175,c_0_245,c_0_249,c_0_395,c_0_181,c_0_573,c_0_569,c_0_323,c_0_370,c_0_387,c_0_385,c_0_493,c_0_459,c_0_315,c_0_214,c_0_473,c_0_257,c_0_335,c_0_277,c_0_396,c_0_568,c_0_325,c_0_332,c_0_334,c_0_231,c_0_179,c_0_324,c_0_305,c_0_304,c_0_204,c_0_432,c_0_753,c_0_158]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN479-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43  % Computer : n005.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Mon Sep 21 11:01:03 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.43  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.51  Running first-order theorem proving
% 0.16/0.51  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/benchmark/theBenchmark.p
% 20.46/3.54  % Version: 3.5.1
% 20.46/3.54  % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.46/3.54  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.46/3.54  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.46/3.54  % Starting new_bool_3 with 300s (1) cores
% 20.46/3.54  % Starting new_bool_1 with 300s (1) cores
% 20.46/3.54  % Starting sh5l with 300s (1) cores
% 20.46/3.54  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3300666 completed with status 0
% 20.46/3.54  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 20.46/3.54  % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.46/3.54  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.46/3.54  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.46/3.54  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.46/3.54  % No SInE strategy applied
% 20.46/3.54  % Search class: FGHNF-FSMM00-SFFFFFNN
% 20.46/3.54  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 20.46/3.54  % Starting SubtermCWHack with 151s (1) cores
% 20.46/3.54  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 20.46/3.54  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 20.46/3.54  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 20.46/3.54  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 20.46/3.54  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3300673 completed with status 0
% 20.46/3.54  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 20.46/3.54  % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.46/3.54  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.46/3.54  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.46/3.54  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.46/3.54  % No SInE strategy applied
% 20.46/3.54  % Search class: FGHNF-FSMM00-SFFFFFNN
% 20.46/3.54  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 20.46/3.54  % Starting SubtermCWHack with 151s (1) cores
% 20.46/3.54  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 20.46/3.54  % Preprocessing time       : 0.004 s
% 20.46/3.54  % SatCheck found unsatisfiable ground set
% 20.46/3.54  
% 20.46/3.54  % Proof found!
% 20.46/3.54  % SZS status Unsatisfiable
% 20.46/3.54  % SZS output start CNFRefutation
% See solution above
% 20.46/3.55  % Parsed axioms                        : 200
% 20.46/3.55  % Removed by relevancy pruning/SinE    : 0
% 20.46/3.55  % Initial clauses                      : 200
% 20.46/3.55  % Removed in clause preprocessing      : 0
% 20.46/3.55  % Initial clauses in saturation        : 200
% 20.46/3.55  % Processed clauses                    : 7502
% 20.46/3.55  % ...of these trivial                  : 0
% 20.46/3.55  % ...subsumed                          : 2502
% 20.46/3.55  % ...remaining for further processing  : 5000
% 20.46/3.55  % Other redundant clauses eliminated   : 0
% 20.46/3.55  % Clauses deleted for lack of memory   : 0
% 20.46/3.55  % Backward-subsumed                    : 1192
% 20.46/3.55  % Backward-rewritten                   : 53
% 20.46/3.55  % Generated clauses                    : 63973
% 20.46/3.55  % ...of the previous two non-redundant : 58730
% 20.46/3.55  % ...aggressively subsumed             : 0
% 20.46/3.55  % Contextual simplify-reflections      : 582
% 20.46/3.55  % Paramodulations                      : 63861
% 20.46/3.55  % Factorizations                       : 0
% 20.46/3.55  % NegExts                              : 0
% 20.46/3.55  % Equation resolutions                 : 0
% 20.46/3.55  % Disequality decompositions           : 0
% 20.46/3.55  % Total rewrite steps                  : 97
% 20.46/3.55  % ...of those cached                   : 96
% 20.46/3.55  % Propositional unsat checks           : 1
% 20.46/3.55  %    Propositional check models        : 0
% 20.46/3.55  %    Propositional check unsatisfiable : 1
% 20.46/3.55  %    Propositional clauses             : 54442
% 20.46/3.55  %    Propositional clauses after purity: 54043
% 20.46/3.55  %    Propositional unsat core size     : 303
% 20.46/3.55  %    Propositional preprocessing time  : 0.000
% 20.46/3.55  %    Propositional encoding time       : 0.041
% 20.46/3.55  %    Propositional solver time         : 0.131
% 20.46/3.55  %    Success case prop preproc time    : 0.000
% 20.46/3.55  %    Success case prop encoding time   : 0.041
% 20.46/3.55  %    Success case prop solver time     : 0.131
% 20.46/3.55  % Current number of processed clauses  : 3710
% 20.46/3.55  %    Positive orientable unit clauses  : 1
% 20.46/3.55  %    Positive unorientable unit clauses: 0
% 20.46/3.55  %    Negative unit clauses             : 0
% 20.46/3.55  %    Non-unit-clauses                  : 3709
% 20.46/3.55  % Current number of unprocessed clauses: 50732
% 20.46/3.55  % ...number of literals in the above   : 346431
% 20.46/3.55  % Current number of archived formulas  : 0
% 20.46/3.55  % Current number of archived clauses   : 1245
% 20.46/3.55  % Clause-clause subsumption calls (NU) : 4320273
% 20.46/3.55  % Rec. Clause-clause subsumption calls : 272326
% 20.46/3.55  % Non-unit clause-clause subsumptions  : 4340
% 20.46/3.55  % Unit Clause-clause subsumption calls : 6
% 20.46/3.55  % Rewrite failures with RHS unbound    : 0
% 20.46/3.55  % BW rewrite match attempts            : 1
% 20.46/3.55  % BW rewrite match successes           : 1
% 20.46/3.55  % Condensation attempts                : 7502
% 20.46/3.55  % Condensation successes               : 0
% 20.46/3.55  % Termbank termtop insertions          : 614976
% 20.46/3.55  % Search garbage collected termcells   : 508
% 20.46/3.55  
% 20.46/3.55  % -------------------------------------------------
% 20.46/3.55  % User time                : 2.837 s
% 20.46/3.55  % System time              : 0.097 s
% 20.46/3.55  % Total time               : 2.934 s
% 20.46/3.55  % Maximum resident set size: 3536 pages
% 20.46/3.55  
% 20.46/3.55  % -------------------------------------------------
% 20.46/3.55  % User time                : 14.023 s
% 20.46/3.55  % System time              : 0.390 s
% 20.46/3.55  % Total time               : 14.413 s
% 20.46/3.55  % Maximum resident set size: 4864 pages
% 20.46/3.55  % E exiting
%------------------------------------------------------------------------------