TSTP Solution File: SYN451-1 by E---3.1

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%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN451-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:16:21 EDT 2023

% Result   : Unsatisfiable 15.25s 2.37s
% Output   : CNFRefutation 15.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  151
% Syntax   : Number of formulae    :  517 (   2 unt;   0 def)
%            Number of atoms       : 2029 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2408 ( 896   ~;1471   |;   0   &)
%                                         (  41 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   71 (  70 usr;  67 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  239 (   0 sgn;  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause22,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause22) ).

cnf(clause1,negated_conjecture,
    ( hskp0
    | hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause1) ).

cnf(clause30,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause30) ).

cnf(clause123,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp0
    | hskp1
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause123) ).

cnf(clause143,negated_conjecture,
    ( hskp21
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause143) ).

cnf(clause80,negated_conjecture,
    ( c3_1(a730)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause80) ).

cnf(clause79,negated_conjecture,
    ( c0_1(a730)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause79) ).

cnf(clause70,negated_conjecture,
    ( c1_1(a741)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause70) ).

cnf(clause71,negated_conjecture,
    ( c3_1(a741)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause71) ).

cnf(clause110,negated_conjecture,
    ( ~ c0_1(a741)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause110) ).

cnf(clause77,negated_conjecture,
    ( c1_1(a731)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause77) ).

cnf(clause53,negated_conjecture,
    ( c3_1(a793)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause53) ).

cnf(clause52,negated_conjecture,
    ( c0_1(a793)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause52) ).

cnf(clause86,negated_conjecture,
    ( ~ c2_1(a793)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause86) ).

cnf(clause78,negated_conjecture,
    ( c3_1(a731)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause78) ).

cnf(clause121,negated_conjecture,
    ( ~ c2_1(a731)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause121) ).

cnf(clause35,negated_conjecture,
    ( hskp7
    | hskp1
    | hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause35) ).

cnf(clause122,negated_conjecture,
    ( ~ c1_1(a730)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause122) ).

cnf(clause109,negated_conjecture,
    ( ~ c1_1(a744)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause109) ).

cnf(clause69,negated_conjecture,
    ( c3_1(a744)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause69) ).

cnf(clause108,negated_conjecture,
    ( ~ c0_1(a744)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause108) ).

cnf(clause75,negated_conjecture,
    ( c1_1(a734)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause75) ).

cnf(clause114,negated_conjecture,
    ( ~ c0_1(a734)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause114) ).

cnf(clause115,negated_conjecture,
    ( ~ c3_1(a734)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause115) ).

cnf(clause140,negated_conjecture,
    ( c1_1(X1)
    | hskp5
    | hskp20
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause140) ).

cnf(clause120,negated_conjecture,
    ( ~ c3_1(a732)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause120) ).

cnf(clause118,negated_conjecture,
    ( ~ c0_1(a732)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause118) ).

cnf(clause104,negated_conjecture,
    ( ~ c1_1(a748)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause104) ).

cnf(clause103,negated_conjecture,
    ( ~ c0_1(a748)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause103) ).

cnf(clause105,negated_conjecture,
    ( ~ c2_1(a748)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause105) ).

cnf(clause119,negated_conjecture,
    ( ~ c2_1(a732)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause119) ).

cnf(clause82,negated_conjecture,
    ( ~ c3_1(a802)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause82) ).

cnf(clause48,negated_conjecture,
    ( c0_1(a802)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause48) ).

cnf(clause81,negated_conjecture,
    ( ~ c2_1(a802)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause81) ).

cnf(clause101,negated_conjecture,
    ( ~ c1_1(a749)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause101) ).

cnf(clause100,negated_conjecture,
    ( ~ c0_1(a749)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause100) ).

cnf(clause102,negated_conjecture,
    ( ~ c3_1(a749)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause102) ).

cnf(clause125,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp9
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause125) ).

cnf(clause124,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp4
    | hskp5
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause124) ).

cnf(clause142,negated_conjecture,
    ( c3_1(X1)
    | hskp27
    | hskp11
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause142) ).

cnf(clause76,negated_conjecture,
    ( c2_1(a733)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause76) ).

cnf(clause117,negated_conjecture,
    ( ~ c1_1(a733)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause117) ).

cnf(clause54,negated_conjecture,
    ( c2_1(a779)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause54) ).

cnf(clause87,negated_conjecture,
    ( ~ c1_1(a779)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause87) ).

cnf(clause88,negated_conjecture,
    ( ~ c3_1(a779)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause88) ).

cnf(clause47,negated_conjecture,
    ( c3_1(a729)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause47) ).

cnf(clause45,negated_conjecture,
    ( c0_1(a729)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause45) ).

cnf(clause46,negated_conjecture,
    ( c2_1(a729)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause46) ).

cnf(clause141,negated_conjecture,
    ( c3_1(X1)
    | hskp18
    | hskp11
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause141) ).

cnf(clause98,negated_conjecture,
    ( ~ c1_1(a759)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause98) ).

cnf(clause65,negated_conjecture,
    ( c3_1(a759)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause65) ).

cnf(clause64,negated_conjecture,
    ( c2_1(a759)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause64) ).

cnf(clause32,negated_conjecture,
    ( hskp23
    | hskp24
    | hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause32) ).

cnf(clause171,negated_conjecture,
    ( c2_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause171) ).

cnf(clause55,negated_conjecture,
    ( c2_1(a777)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause55) ).

cnf(clause89,negated_conjecture,
    ( ~ c0_1(a777)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause89) ).

cnf(clause90,negated_conjecture,
    ( ~ c3_1(a777)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause90) ).

cnf(clause68,negated_conjecture,
    ( c3_1(a746)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause68) ).

cnf(clause106,negated_conjecture,
    ( ~ c0_1(a746)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause106) ).

cnf(clause107,negated_conjecture,
    ( ~ c2_1(a746)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause107) ).

cnf(clause168,negated_conjecture,
    ( c0_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause168) ).

cnf(clause128,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp1
    | hskp2
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause128) ).

cnf(clause133,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp0
    | hskp9
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause133) ).

cnf(clause132,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp6
    | hskp4
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause132) ).

cnf(clause139,negated_conjecture,
    ( c1_1(X1)
    | hskp27
    | hskp19
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause139) ).

cnf(clause40,negated_conjecture,
    ( c1_1(a750)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause40) ).

cnf(clause39,negated_conjecture,
    ( c0_1(a750)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause39) ).

cnf(clause148,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause148) ).

cnf(clause50,negated_conjecture,
    ( c1_1(a798)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause50) ).

cnf(clause49,negated_conjecture,
    ( c0_1(a798)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause49) ).

cnf(clause83,negated_conjecture,
    ( ~ c3_1(a798)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause83) ).

cnf(clause158,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause158) ).

cnf(clause56,negated_conjecture,
    ( c1_1(a775)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause56) ).

cnf(clause91,negated_conjecture,
    ( ~ c2_1(a775)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause91) ).

cnf(clause42,negated_conjecture,
    ( c1_1(a737)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause42) ).

cnf(clause44,negated_conjecture,
    ( c3_1(a737)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause44) ).

cnf(clause60,negated_conjecture,
    ( c2_1(a764)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause60) ).

cnf(clause74,negated_conjecture,
    ( c3_1(a735)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause74) ).

cnf(clause62,negated_conjecture,
    ( c1_1(a763)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause62) ).

cnf(clause61,negated_conjecture,
    ( c0_1(a763)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause61) ).

cnf(clause95,negated_conjecture,
    ( ~ c2_1(a763)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause95) ).

cnf(clause72,negated_conjecture,
    ( c1_1(a738)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause72) ).

cnf(clause111,negated_conjecture,
    ( ~ c0_1(a738)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause111) ).

cnf(clause112,negated_conjecture,
    ( ~ c2_1(a738)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause112) ).

cnf(clause34,negated_conjecture,
    ( hskp0
    | hskp5
    | hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause34) ).

cnf(clause41,negated_conjecture,
    ( c2_1(a750)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause41) ).

cnf(clause73,negated_conjecture,
    ( c2_1(a735)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause73) ).

cnf(clause113,negated_conjecture,
    ( ~ c0_1(a735)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause113) ).

cnf(clause175,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause175) ).

cnf(clause174,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause174) ).

cnf(clause173,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause173) ).

cnf(clause172,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause172) ).

cnf(clause167,negated_conjecture,
    ( c3_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause167) ).

cnf(clause166,negated_conjecture,
    ( c0_1(X2)
    | hskp16
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause166) ).

cnf(clause164,negated_conjecture,
    ( c0_1(X2)
    | c3_1(X2)
    | hskp15
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause164) ).

cnf(clause165,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause165) ).

cnf(clause159,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause159) ).

cnf(clause161,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause161) ).

cnf(clause154,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp5
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause154) ).

cnf(clause156,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp10
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause156) ).

cnf(clause160,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp11
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause160) ).

cnf(clause157,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp11
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause157) ).

cnf(clause152,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp5
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause152) ).

cnf(clause151,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause151) ).

cnf(clause149,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp25
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause149) ).

cnf(clause150,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause150) ).

cnf(clause146,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp2
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause146) ).

cnf(clause147,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp3
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause147) ).

cnf(clause94,negated_conjecture,
    ( ~ c3_1(a764)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause94) ).

cnf(clause59,negated_conjecture,
    ( c0_1(a764)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p',clause59) ).

cnf(c_0_110,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    clause22 ).

cnf(c_0_111,negated_conjecture,
    ( hskp0
    | hskp8 ),
    clause1 ).

cnf(c_0_112,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    clause30 ).

fof(c_0_113,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( hskp0
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_114,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).

cnf(c_0_115,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp0
    | hskp1
    | ~ ndr1_0 ),
    clause123 ).

cnf(c_0_116,negated_conjecture,
    ( hskp21
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause143 ).

fof(c_0_117,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_118,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_119,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_113]),c_0_114])]) ).

cnf(c_0_120,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_114])]) ).

cnf(c_0_121,negated_conjecture,
    ( hskp21
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_114])]) ).

cnf(c_0_122,negated_conjecture,
    ( c3_1(a730)
    | ~ hskp0 ),
    clause80 ).

cnf(c_0_123,negated_conjecture,
    ( c0_1(a730)
    | ~ hskp0 ),
    clause79 ).

cnf(c_0_124,negated_conjecture,
    ( epred45_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_114])]) ).

fof(c_0_125,plain,
    ( ~ epred44_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_126,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( hskp11
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_127,negated_conjecture,
    ( epred28_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_118]) ).

cnf(c_0_128,negated_conjecture,
    ( c1_1(a741)
    | ~ hskp7 ),
    clause70 ).

cnf(c_0_129,negated_conjecture,
    ( c3_1(a741)
    | ~ hskp7 ),
    clause71 ).

cnf(c_0_130,negated_conjecture,
    ( ~ c0_1(a741)
    | ~ hskp7 ),
    clause110 ).

fof(c_0_131,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_132,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_133,negated_conjecture,
    ( c1_1(a731)
    | ~ hskp1 ),
    clause77 ).

cnf(c_0_134,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp1
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_135,negated_conjecture,
    ( c3_1(a793)
    | ~ hskp21 ),
    clause53 ).

cnf(c_0_136,negated_conjecture,
    ( c0_1(a793)
    | ~ hskp21 ),
    clause52 ).

cnf(c_0_137,negated_conjecture,
    ( ~ c2_1(a793)
    | ~ hskp21 ),
    clause86 ).

cnf(c_0_138,negated_conjecture,
    ( hskp21
    | ~ c2_1(a730)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).

cnf(c_0_139,negated_conjecture,
    ( epred45_0
    | c2_1(a730)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_122]),c_0_123]) ).

cnf(c_0_140,negated_conjecture,
    ( epred44_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_125]) ).

fof(c_0_141,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_142,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_143,plain,
    ( ~ epred46_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_144,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( hskp2
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_145,plain,
    ( ~ epred43_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | ~ ndr1_0
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_146,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_147,plain,
    ( ~ epred13_0
  <=> ! [X2] :
        ( hskp5
        | c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_148,negated_conjecture,
    ( epred18_0
    | c2_1(X1)
    | hskp11
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_126]),c_0_114])]) ).

cnf(c_0_149,negated_conjecture,
    ( c3_1(a731)
    | ~ hskp1 ),
    clause78 ).

cnf(c_0_150,negated_conjecture,
    ( ~ c2_1(a731)
    | ~ hskp1 ),
    clause121 ).

cnf(c_0_151,negated_conjecture,
    ( epred28_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_130]) ).

cnf(c_0_152,negated_conjecture,
    ( hskp7
    | hskp1
    | hskp4 ),
    clause35 ).

cnf(c_0_153,negated_conjecture,
    ( epred34_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_131]) ).

cnf(c_0_154,negated_conjecture,
    ( epred38_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_132]),c_0_114])]) ).

fof(c_0_155,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_156,negated_conjecture,
    ( epred6_0
    | c2_1(a731)
    | c0_1(a731)
    | hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_133]),c_0_134]) ).

cnf(c_0_157,negated_conjecture,
    ( epred45_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_135]),c_0_136]),c_0_137]) ).

cnf(c_0_158,negated_conjecture,
    ( epred45_0
    | hskp21
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_159,negated_conjecture,
    ( epred44_0
    | ~ c2_1(a741)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_128]),c_0_129]) ).

cnf(c_0_160,negated_conjecture,
    ( epred6_0
    | c2_1(a741)
    | hskp0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_128]),c_0_130]) ).

cnf(c_0_161,negated_conjecture,
    ( epred14_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_141]) ).

cnf(c_0_162,negated_conjecture,
    ( epred4_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_142]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ c1_1(a730)
    | ~ hskp0 ),
    clause122 ).

cnf(c_0_164,negated_conjecture,
    ( epred46_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_143]) ).

cnf(c_0_165,negated_conjecture,
    ( epred27_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp2
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_144]),c_0_114])]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ c1_1(a744)
    | ~ hskp8 ),
    clause109 ).

cnf(c_0_167,negated_conjecture,
    ( c3_1(a744)
    | ~ hskp8 ),
    clause69 ).

cnf(c_0_168,negated_conjecture,
    ( epred43_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_145]),c_0_114])]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ c0_1(a744)
    | ~ hskp8 ),
    clause108 ).

fof(c_0_170,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( hskp25
        | c0_1(X2)
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_171,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( hskp8
        | c0_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_172,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_173,negated_conjecture,
    ( epred24_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_146]) ).

cnf(c_0_174,negated_conjecture,
    ( epred13_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp5
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_147]),c_0_114])]) ).

cnf(c_0_175,negated_conjecture,
    ( c1_1(a734)
    | ~ hskp4 ),
    clause75 ).

cnf(c_0_176,negated_conjecture,
    ( ~ c0_1(a734)
    | ~ hskp4 ),
    clause114 ).

cnf(c_0_177,negated_conjecture,
    ( ~ c3_1(a734)
    | ~ hskp4 ),
    clause115 ).

cnf(c_0_178,negated_conjecture,
    ( epred18_0
    | hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_133]),c_0_149]),c_0_150]) ).

cnf(c_0_179,negated_conjecture,
    ( epred28_0
    | hskp1
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_180,negated_conjecture,
    ( epred34_0
    | ~ c0_1(a731)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_133]),c_0_149]) ).

cnf(c_0_181,negated_conjecture,
    ( epred28_0
    | c0_1(a731)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_133]),c_0_149]) ).

cnf(c_0_182,negated_conjecture,
    ( epred38_0
    | ~ c0_1(a731)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_133]),c_0_150]) ).

cnf(c_0_183,negated_conjecture,
    ( c1_1(X1)
    | hskp5
    | hskp20
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause140 ).

fof(c_0_184,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( hskp5
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_185,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( hskp3
        | c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_186,negated_conjecture,
    ( epred2_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_155]) ).

cnf(c_0_187,negated_conjecture,
    ( epred45_0
    | ~ c0_1(a731)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_149]),c_0_150]) ).

cnf(c_0_188,negated_conjecture,
    ( epred6_0
    | c0_1(a731)
    | hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_150,c_0_156]) ).

cnf(c_0_189,negated_conjecture,
    ( epred45_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_190,negated_conjecture,
    ( epred44_0
    | epred6_0
    | hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ c3_1(a732)
    | ~ hskp2 ),
    clause120 ).

cnf(c_0_192,negated_conjecture,
    ( epred14_0
    | epred4_0
    | c3_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ c0_1(a732)
    | ~ hskp2 ),
    clause118 ).

cnf(c_0_194,negated_conjecture,
    ( epred46_0
    | ~ c2_1(a730)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_122]) ).

cnf(c_0_195,negated_conjecture,
    ( epred27_0
    | c2_1(a730)
    | hskp2
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_123]),c_0_163]) ).

cnf(c_0_196,negated_conjecture,
    ( epred46_0
    | ~ c2_1(a744)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_164]),c_0_167]) ).

cnf(c_0_197,negated_conjecture,
    ( epred43_0
    | c2_1(a744)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_167]),c_0_169]) ).

fof(c_0_198,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_199,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( hskp10
        | c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_200,negated_conjecture,
    ( ~ c1_1(a748)
    | ~ hskp10 ),
    clause104 ).

cnf(c_0_201,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp25 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_114])]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ c0_1(a748)
    | ~ hskp10 ),
    clause103 ).

cnf(c_0_203,negated_conjecture,
    ( ~ c2_1(a748)
    | ~ hskp10 ),
    clause105 ).

cnf(c_0_204,negated_conjecture,
    ( epred1_0
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_114])]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ c2_1(a732)
    | ~ hskp2 ),
    clause119 ).

fof(c_0_206,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( hskp13
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_207,negated_conjecture,
    ( ~ c3_1(a802)
    | ~ hskp24 ),
    clause82 ).

cnf(c_0_208,negated_conjecture,
    ( epred42_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_172]),c_0_114])]) ).

cnf(c_0_209,negated_conjecture,
    ( c0_1(a802)
    | ~ hskp24 ),
    clause48 ).

cnf(c_0_210,negated_conjecture,
    ( ~ c2_1(a802)
    | ~ hskp24 ),
    clause81 ).

cnf(c_0_211,negated_conjecture,
    ( epred24_0
    | ~ c2_1(a741)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_128]),c_0_130]) ).

cnf(c_0_212,negated_conjecture,
    ( epred13_0
    | c2_1(a741)
    | hskp5
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_128]),c_0_130]) ).

cnf(c_0_213,negated_conjecture,
    ( epred24_0
    | ~ c2_1(a734)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_175]),c_0_176]) ).

cnf(c_0_214,negated_conjecture,
    ( epred13_0
    | c2_1(a734)
    | hskp5
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ c1_1(a749)
    | ~ hskp11 ),
    clause101 ).

cnf(c_0_216,negated_conjecture,
    ( ~ c0_1(a749)
    | ~ hskp11 ),
    clause100 ).

cnf(c_0_217,negated_conjecture,
    ( ~ c3_1(a749)
    | ~ hskp11 ),
    clause102 ).

cnf(c_0_218,negated_conjecture,
    ( epred14_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_175]),c_0_176]),c_0_177]) ).

cnf(c_0_219,negated_conjecture,
    ( epred28_0
    | epred18_0
    | hskp4
    | hskp11 ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_220,negated_conjecture,
    ( epred34_0
    | epred28_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_221,negated_conjecture,
    ( epred38_0
    | epred28_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_182,c_0_181]) ).

fof(c_0_222,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( hskp7
        | c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_223,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_224,plain,
    ( ~ epred40_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_225,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp9
    | ~ ndr1_0 ),
    clause125 ).

cnf(c_0_226,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp4
    | hskp5
    | ~ ndr1_0 ),
    clause124 ).

cnf(c_0_227,negated_conjecture,
    ( c3_1(X1)
    | hskp27
    | hskp11
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause142 ).

cnf(c_0_228,negated_conjecture,
    ( c1_1(X1)
    | hskp5
    | hskp20
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_114])]) ).

cnf(c_0_229,negated_conjecture,
    ( c2_1(a733)
    | ~ hskp3 ),
    clause76 ).

cnf(c_0_230,negated_conjecture,
    ( ~ c1_1(a733)
    | ~ hskp3 ),
    clause117 ).

cnf(c_0_231,negated_conjecture,
    ( epred25_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp5
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_184]),c_0_114])]) ).

cnf(c_0_232,negated_conjecture,
    ( c2_1(a779)
    | ~ hskp20 ),
    clause54 ).

cnf(c_0_233,negated_conjecture,
    ( ~ c1_1(a779)
    | ~ hskp20 ),
    clause87 ).

cnf(c_0_234,negated_conjecture,
    ( ~ c3_1(a779)
    | ~ hskp20 ),
    clause88 ).

cnf(c_0_235,negated_conjecture,
    ( epred3_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp3
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_185]),c_0_114])]) ).

cnf(c_0_236,negated_conjecture,
    ( epred2_0
    | ~ c2_1(a734)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_186]),c_0_176]) ).

cnf(c_0_237,negated_conjecture,
    ( epred6_0
    | c2_1(a734)
    | hskp0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_175]),c_0_176]) ).

cnf(c_0_238,negated_conjecture,
    ( epred45_0
    | epred6_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).

cnf(c_0_239,negated_conjecture,
    ( epred44_0
    | epred6_0
    | hskp1
    | hskp4
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_190,c_0_152]) ).

cnf(c_0_240,negated_conjecture,
    ( epred14_0
    | epred4_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).

cnf(c_0_241,negated_conjecture,
    ( epred46_0
    | epred27_0
    | hskp2
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_242,negated_conjecture,
    ( epred46_0
    | epred43_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

fof(c_0_243,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( hskp1
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_244,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_245,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( hskp16
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_246,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( hskp26
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_247,negated_conjecture,
    ( epred32_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_198]) ).

cnf(c_0_248,negated_conjecture,
    ( c3_1(a729)
    | ~ hskp25 ),
    clause47 ).

cnf(c_0_249,negated_conjecture,
    ( c0_1(a729)
    | ~ hskp25 ),
    clause45 ).

cnf(c_0_250,negated_conjecture,
    ( c2_1(a729)
    | ~ hskp25 ),
    clause46 ).

cnf(c_0_251,negated_conjecture,
    ( epred21_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp10
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_114])]) ).

cnf(c_0_252,negated_conjecture,
    ( epred8_0
    | hskp25
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]),c_0_203]) ).

fof(c_0_253,plain,
    ( ~ epred37_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | c2_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_254,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_255,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( hskp2
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_256,negated_conjecture,
    ( c3_1(X1)
    | hskp18
    | hskp11
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause141 ).

fof(c_0_257,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_258,negated_conjecture,
    ( epred1_0
    | hskp8
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_204]),c_0_193]),c_0_205]) ).

cnf(c_0_259,negated_conjecture,
    ( epred17_0
    | c2_1(X1)
    | hskp13
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_114])]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ c1_1(a759)
    | ~ hskp13 ),
    clause98 ).

cnf(c_0_261,negated_conjecture,
    ( c3_1(a759)
    | ~ hskp13 ),
    clause65 ).

cnf(c_0_262,negated_conjecture,
    ( c2_1(a759)
    | ~ hskp13 ),
    clause64 ).

cnf(c_0_263,negated_conjecture,
    ( epred42_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]),c_0_210]) ).

cnf(c_0_264,negated_conjecture,
    ( hskp23
    | hskp24
    | hskp13 ),
    clause32 ).

cnf(c_0_265,negated_conjecture,
    ( epred24_0
    | epred13_0
    | hskp5
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_266,negated_conjecture,
    ( epred24_0
    | epred13_0
    | hskp5
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_267,negated_conjecture,
    ( epred18_0
    | c2_1(a741)
    | hskp11
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_128]),c_0_129]) ).

cnf(c_0_268,negated_conjecture,
    ( c2_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause171 ).

cnf(c_0_269,negated_conjecture,
    ( epred4_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_162]),c_0_216]),c_0_217]) ).

cnf(c_0_270,negated_conjecture,
    ( epred28_0
    | epred18_0
    | epred14_0
    | hskp11 ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_271,negated_conjecture,
    ( epred34_0
    | epred28_0
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_220,c_0_179]) ).

cnf(c_0_272,negated_conjecture,
    ( epred38_0
    | epred28_0
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_221,c_0_179]) ).

cnf(c_0_273,negated_conjecture,
    ( epred11_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp7
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_222]),c_0_114])]) ).

cnf(c_0_274,negated_conjecture,
    ( c2_1(a777)
    | ~ hskp19 ),
    clause55 ).

cnf(c_0_275,negated_conjecture,
    ( ~ c0_1(a777)
    | ~ hskp19 ),
    clause89 ).

cnf(c_0_276,negated_conjecture,
    ( ~ c3_1(a777)
    | ~ hskp19 ),
    clause90 ).

cnf(c_0_277,negated_conjecture,
    ( epred20_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_223]) ).

cnf(c_0_278,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_224]) ).

cnf(c_0_279,negated_conjecture,
    ( c3_1(a746)
    | ~ hskp9 ),
    clause68 ).

cnf(c_0_280,negated_conjecture,
    ( ~ c0_1(a746)
    | ~ hskp9 ),
    clause106 ).

cnf(c_0_281,negated_conjecture,
    ( ~ c2_1(a746)
    | ~ hskp9 ),
    clause107 ).

cnf(c_0_282,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp5
    | hskp9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_114])]) ).

fof(c_0_283,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_284,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp4
    | hskp5 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_114])]) ).

cnf(c_0_285,negated_conjecture,
    ( c3_1(X1)
    | hskp11
    | hskp27
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_114])]) ).

cnf(c_0_286,negated_conjecture,
    ( hskp5
    | hskp20
    | ~ c3_1(a733)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]) ).

cnf(c_0_287,negated_conjecture,
    ( epred25_0
    | c3_1(a733)
    | hskp5
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_229]),c_0_230]) ).

cnf(c_0_288,negated_conjecture,
    ( epred25_0
    | hskp5
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]),c_0_234]) ).

cnf(c_0_289,negated_conjecture,
    ( epred3_0
    | c2_1(a734)
    | hskp3
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_175]),c_0_177]) ).

fof(c_0_290,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_291,negated_conjecture,
    ( c0_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause168 ).

cnf(c_0_292,negated_conjecture,
    ( epred6_0
    | epred2_0
    | hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_293,negated_conjecture,
    ( epred45_0
    | epred44_0
    | epred6_0
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_189]) ).

cnf(c_0_294,negated_conjecture,
    ( epred46_0
    | epred27_0
    | epred14_0
    | epred4_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_295,negated_conjecture,
    ( epred46_0
    | epred43_0
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_242,c_0_111]) ).

cnf(c_0_296,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp1
    | hskp2
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause128 ).

cnf(c_0_297,negated_conjecture,
    ( epred36_0
    | c3_1(X1)
    | hskp1
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_243]),c_0_114])]) ).

cnf(c_0_298,negated_conjecture,
    ( epred16_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_244]) ).

cnf(c_0_299,negated_conjecture,
    ( epred35_0
    | c0_1(X1)
    | hskp16
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_245]),c_0_114])]) ).

cnf(c_0_300,negated_conjecture,
    ( epred31_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp26
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_246]),c_0_114])]) ).

cnf(c_0_301,negated_conjecture,
    ( epred32_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]),c_0_250]) ).

cnf(c_0_302,negated_conjecture,
    ( epred21_0
    | epred8_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_201]),c_0_252]) ).

fof(c_0_303,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( hskp15
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_304,negated_conjecture,
    ( epred37_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_253]),c_0_114])]) ).

cnf(c_0_305,negated_conjecture,
    ( epred7_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_254]) ).

cnf(c_0_306,negated_conjecture,
    ( epred5_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp2
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_255]),c_0_114])]) ).

cnf(c_0_307,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp0
    | hskp9
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause133 ).

cnf(c_0_308,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp6
    | hskp4
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause132 ).

cnf(c_0_309,negated_conjecture,
    ( c1_1(X1)
    | hskp27
    | hskp19
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause139 ).

cnf(c_0_310,negated_conjecture,
    ( c1_1(a750)
    | ~ hskp27 ),
    clause40 ).

cnf(c_0_311,negated_conjecture,
    ( c0_1(a750)
    | ~ hskp27 ),
    clause39 ).

cnf(c_0_312,negated_conjecture,
    ( c3_1(X1)
    | hskp11
    | hskp18
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_114])]) ).

cnf(c_0_313,negated_conjecture,
    ( epred19_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_257]) ).

cnf(c_0_314,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause148 ).

cnf(c_0_315,negated_conjecture,
    ( epred46_0
    | epred43_0
    | epred1_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_242,c_0_258]) ).

cnf(c_0_316,negated_conjecture,
    ( epred17_0
    | hskp13
    | ~ c0_1(a731)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_133]),c_0_150]) ).

cnf(c_0_317,negated_conjecture,
    ( epred43_0
    | c0_1(a731)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_149]),c_0_150]) ).

cnf(c_0_318,negated_conjecture,
    ( c1_1(a798)
    | ~ hskp23 ),
    clause50 ).

cnf(c_0_319,negated_conjecture,
    ( c0_1(a798)
    | ~ hskp23 ),
    clause49 ).

cnf(c_0_320,negated_conjecture,
    ( ~ c3_1(a798)
    | ~ hskp23 ),
    clause83 ).

cnf(c_0_321,negated_conjecture,
    ( epred46_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_164]),c_0_261]),c_0_262]) ).

cnf(c_0_322,negated_conjecture,
    ( epred42_0
    | hskp13
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_263,c_0_264]) ).

fof(c_0_323,plain,
    ( ~ epred41_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_324,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( hskp5
        | c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_325,negated_conjecture,
    ( epred24_0
    | epred13_0
    | hskp1
    | hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_152]),c_0_266]) ).

cnf(c_0_326,negated_conjecture,
    ( epred24_0
    | epred18_0
    | hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_211,c_0_267]) ).

cnf(c_0_327,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause158 ).

cnf(c_0_328,negated_conjecture,
    ( ~ epred38_0
    | ~ epred34_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_268,c_0_132]),c_0_142]),c_0_131]) ).

cnf(c_0_329,negated_conjecture,
    ( epred28_0
    | epred18_0
    | epred14_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_330,negated_conjecture,
    ( epred34_0
    | epred28_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_218,c_0_271]) ).

cnf(c_0_331,negated_conjecture,
    ( epred38_0
    | epred28_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_218,c_0_272]) ).

cnf(c_0_332,negated_conjecture,
    ( c1_1(a775)
    | ~ hskp18 ),
    clause56 ).

cnf(c_0_333,negated_conjecture,
    ( ~ c2_1(a775)
    | ~ hskp18 ),
    clause91 ).

cnf(c_0_334,negated_conjecture,
    ( epred11_0
    | hskp7
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275]),c_0_276]) ).

cnf(c_0_335,negated_conjecture,
    ( epred20_0
    | c2_1(a744)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_277]),c_0_167]) ).

cnf(c_0_336,negated_conjecture,
    ( epred20_0
    | c2_1(a730)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_277]),c_0_122]) ).

cnf(c_0_337,negated_conjecture,
    ( epred40_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]),c_0_281]) ).

cnf(c_0_338,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp5
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_278,c_0_282]) ).

cnf(c_0_339,negated_conjecture,
    ( c1_1(a737)
    | ~ hskp26 ),
    clause42 ).

cnf(c_0_340,negated_conjecture,
    ( c3_1(a737)
    | ~ hskp26 ),
    clause44 ).

cnf(c_0_341,negated_conjecture,
    ( epred22_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_283]) ).

cnf(c_0_342,negated_conjecture,
    ( epred14_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp4
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_161,c_0_284]) ).

fof(c_0_343,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_344,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_345,negated_conjecture,
    ( hskp11
    | hskp27
    | ~ c2_1(a734)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_175]),c_0_177]) ).

cnf(c_0_346,negated_conjecture,
    ( epred13_0
    | epred8_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp5
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_174,c_0_201]) ).

cnf(c_0_347,negated_conjecture,
    ( epred25_0
    | hskp5
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]) ).

cnf(c_0_348,negated_conjecture,
    ( epred24_0
    | epred3_0
    | hskp3
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_213,c_0_289]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ epred37_0
    | ~ epred30_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_291,c_0_253]),c_0_155]),c_0_290]) ).

cnf(c_0_350,negated_conjecture,
    ( epred45_0
    | epred44_0
    | epred6_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_189]) ).

cnf(c_0_351,negated_conjecture,
    ( epred46_0
    | epred43_0
    | epred27_0
    | epred14_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_352,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp1
    | hskp2
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_114])]) ).

cnf(c_0_353,negated_conjecture,
    ( epred36_0
    | epred16_0
    | c3_1(X1)
    | hskp1
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_297,c_0_298]) ).

cnf(c_0_354,negated_conjecture,
    ( c2_1(a764)
    | ~ hskp16 ),
    clause60 ).

cnf(c_0_355,negated_conjecture,
    ( epred46_0
    | epred35_0
    | c0_1(X1)
    | hskp16
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_299,c_0_164]) ).

cnf(c_0_356,negated_conjecture,
    ( c3_1(a735)
    | ~ hskp5 ),
    clause74 ).

cnf(c_0_357,negated_conjecture,
    ( epred31_0
    | c2_1(a730)
    | hskp26
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_123]),c_0_163]) ).

cnf(c_0_358,negated_conjecture,
    ( epred32_0
    | epred21_0
    | epred8_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_359,negated_conjecture,
    ( epred20_0
    | epred13_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp5
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_174,c_0_277]) ).

cnf(c_0_360,negated_conjecture,
    ( epred33_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp15
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_303]),c_0_114])]) ).

cnf(c_0_361,negated_conjecture,
    ( epred37_0
    | c2_1(a744)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_304]),c_0_169]) ).

cnf(c_0_362,negated_conjecture,
    ( epred8_0
    | c2_1(a749)
    | hskp25
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_201]),c_0_216]) ).

cnf(c_0_363,negated_conjecture,
    ( epred46_0
    | epred34_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_153,c_0_164]) ).

cnf(c_0_364,negated_conjecture,
    ( epred46_0
    | epred28_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_164]) ).

cnf(c_0_365,negated_conjecture,
    ( epred44_0
    | epred7_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_140,c_0_305]) ).

cnf(c_0_366,negated_conjecture,
    ( epred5_0
    | c2_1(a744)
    | hskp2
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_167]),c_0_169]) ).

cnf(c_0_367,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp9
    | hskp0
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_114])]) ).

cnf(c_0_368,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp4
    | hskp6
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_114])]) ).

cnf(c_0_369,negated_conjecture,
    ( c1_1(X1)
    | hskp19
    | hskp27
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_114])]) ).

cnf(c_0_370,negated_conjecture,
    ( hskp5
    | hskp20
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_262]),c_0_261]),c_0_260]) ).

cnf(c_0_371,negated_conjecture,
    ( epred34_0
    | ~ c3_1(a750)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_310]),c_0_311]) ).

cnf(c_0_372,negated_conjecture,
    ( c3_1(a750)
    | hskp11
    | hskp18
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_310]),c_0_311]) ).

cnf(c_0_373,negated_conjecture,
    ( epred19_0
    | c0_1(a731)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_133]),c_0_150]) ).

cnf(c_0_374,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_314,c_0_171]),c_0_155]) ).

cnf(c_0_375,negated_conjecture,
    ( epred46_0
    | epred43_0
    | epred27_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_241]),c_0_295]) ).

cnf(c_0_376,negated_conjecture,
    ( epred43_0
    | epred17_0
    | hskp13
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_316,c_0_317]) ).

cnf(c_0_377,negated_conjecture,
    ( epred36_0
    | hskp1
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_318]),c_0_319]),c_0_320]) ).

cnf(c_0_378,negated_conjecture,
    ( epred46_0
    | epred42_0
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_379,negated_conjecture,
    ( epred41_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_323]),c_0_114])]) ).

cnf(c_0_380,negated_conjecture,
    ( epred23_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp5
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_324]),c_0_114])]) ).

cnf(c_0_381,negated_conjecture,
    ( epred24_0
    | epred18_0
    | epred13_0
    | hskp5
    | hskp11 ),
    inference(spm,[status(thm)],[c_0_178,c_0_325]) ).

cnf(c_0_382,negated_conjecture,
    ( epred24_0
    | epred18_0
    | hskp4
    | hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_152]),c_0_178]) ).

cnf(c_0_383,negated_conjecture,
    ( ~ epred17_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_327,c_0_206]),c_0_141]) ).

cnf(c_0_384,negated_conjecture,
    ( epred28_0
    | epred18_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_330]),c_0_331]) ).

cnf(c_0_385,negated_conjecture,
    ( epred17_0
    | hskp13
    | ~ c0_1(a775)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_332]),c_0_333]) ).

cnf(c_0_386,negated_conjecture,
    ( epred13_0
    | c0_1(a775)
    | hskp5
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_332]),c_0_333]) ).

cnf(c_0_387,negated_conjecture,
    ( c1_1(a763)
    | ~ hskp15 ),
    clause62 ).

cnf(c_0_388,negated_conjecture,
    ( c0_1(a763)
    | ~ hskp15 ),
    clause61 ).

cnf(c_0_389,negated_conjecture,
    ( ~ c2_1(a763)
    | ~ hskp15 ),
    clause95 ).

cnf(c_0_390,negated_conjecture,
    ( epred5_0
    | c0_1(a731)
    | hskp2
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_149]),c_0_150]) ).

cnf(c_0_391,negated_conjecture,
    ( c1_1(a738)
    | ~ hskp6 ),
    clause72 ).

cnf(c_0_392,negated_conjecture,
    ( ~ c0_1(a738)
    | ~ hskp6 ),
    clause111 ).

cnf(c_0_393,negated_conjecture,
    ( ~ c2_1(a738)
    | ~ hskp6 ),
    clause112 ).

cnf(c_0_394,negated_conjecture,
    ( epred28_0
    | epred11_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_151,c_0_334]) ).

cnf(c_0_395,negated_conjecture,
    ( hskp0
    | hskp5
    | hskp19 ),
    clause34 ).

cnf(c_0_396,negated_conjecture,
    ( epred46_0
    | epred20_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_196,c_0_335]) ).

cnf(c_0_397,negated_conjecture,
    ( epred46_0
    | epred20_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_194,c_0_336]) ).

cnf(c_0_398,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

cnf(c_0_399,negated_conjecture,
    ( epred34_0
    | ~ c0_1(a737)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_339]),c_0_340]) ).

cnf(c_0_400,negated_conjecture,
    ( epred28_0
    | c0_1(a737)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_339]),c_0_340]) ).

cnf(c_0_401,negated_conjecture,
    ( epred30_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_290]) ).

cnf(c_0_402,negated_conjecture,
    ( c2_1(a750)
    | ~ hskp27 ),
    clause41 ).

cnf(c_0_403,negated_conjecture,
    ( epred22_0
    | ~ c2_1(a744)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_167]),c_0_169]) ).

cnf(c_0_404,negated_conjecture,
    ( c2_1(a735)
    | ~ hskp5 ),
    clause73 ).

cnf(c_0_405,negated_conjecture,
    ( ~ c0_1(a735)
    | ~ hskp5 ),
    clause113 ).

cnf(c_0_406,negated_conjecture,
    ( epred14_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_218,c_0_342]) ).

cnf(c_0_407,negated_conjecture,
    ( epred12_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_343]) ).

cnf(c_0_408,negated_conjecture,
    ( epred9_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_344]) ).

cnf(c_0_409,negated_conjecture,
    ( epred46_0
    | epred44_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_140,c_0_164]) ).

cnf(c_0_410,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    clause175 ).

cnf(c_0_411,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    clause174 ).

cnf(c_0_412,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3) ),
    clause173 ).

cnf(c_0_413,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    clause172 ).

cnf(c_0_414,negated_conjecture,
    ( c3_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause167 ).

cnf(c_0_415,negated_conjecture,
    ( c0_1(X2)
    | hskp16
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    clause166 ).

cnf(c_0_416,negated_conjecture,
    ( c0_1(X2)
    | c3_1(X2)
    | hskp15
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause164 ).

cnf(c_0_417,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp26
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause165 ).

cnf(c_0_418,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause159 ).

cnf(c_0_419,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause161 ).

cnf(c_0_420,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp5
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause154 ).

cnf(c_0_421,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp10
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause156 ).

cnf(c_0_422,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp11
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause160 ).

cnf(c_0_423,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp11
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause157 ).

cnf(c_0_424,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp5
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause152 ).

cnf(c_0_425,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause151 ).

cnf(c_0_426,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp25
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause149 ).

cnf(c_0_427,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause150 ).

cnf(c_0_428,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp2
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause146 ).

cnf(c_0_429,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp3
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause147 ).

cnf(c_0_430,negated_conjecture,
    ( hskp11
    | hskp27
    | epred6_0
    | hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_345,c_0_237]) ).

cnf(c_0_431,negated_conjecture,
    ( hskp11
    | hskp27
    | epred13_0
    | epred8_0
    | c0_1(a734)
    | hskp5
    | hskp25
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_345,c_0_346]) ).

cnf(c_0_432,negated_conjecture,
    ( epred25_0
    | hskp5
    | epred24_0
    | epred3_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_433,negated_conjecture,
    ( epred45_0
    | epred44_0
    | epred6_0
    | ~ epred37_0
    | ~ epred30_0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_350]) ).

cnf(c_0_434,negated_conjecture,
    ( epred46_0
    | epred43_0
    | epred27_0
    | epred14_0
    | ~ epred38_0
    | ~ epred34_0 ),
    inference(spm,[status(thm)],[c_0_328,c_0_351]) ).

cnf(c_0_435,negated_conjecture,
    ( c1_1(a744)
    | c0_1(a744)
    | hskp1
    | hskp2
    | epred43_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_352,c_0_197]) ).

cnf(c_0_436,negated_conjecture,
    ( epred36_0
    | epred16_0
    | c3_1(a764)
    | hskp1
    | ~ c0_1(a764)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_437,negated_conjecture,
    ( epred46_0
    | epred35_0
    | c0_1(a735)
    | hskp16
    | ~ c2_1(a735)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_438,negated_conjecture,
    ( c1_1(a730)
    | hskp5
    | hskp20
    | epred31_0
    | hskp26
    | ~ c3_1(a730)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_228,c_0_357]) ).

cnf(c_0_439,negated_conjecture,
    ( c1_1(a730)
    | hskp5
    | hskp20
    | epred27_0
    | hskp2
    | ~ c3_1(a730)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_228,c_0_195]) ).

cnf(c_0_440,negated_conjecture,
    ( epred32_0
    | epred21_0
    | epred8_0
    | c0_1(a732)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_205,c_0_358]) ).

cnf(c_0_441,negated_conjecture,
    ( epred21_0
    | epred8_0
    | c0_1(a732)
    | hskp25
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_205,c_0_302]) ).

cnf(c_0_442,negated_conjecture,
    ( epred20_0
    | epred13_0
    | c2_1(a746)
    | c0_1(a746)
    | hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_359,c_0_279]) ).

cnf(c_0_443,negated_conjecture,
    ( epred33_0
    | c3_1(a734)
    | c0_1(a734)
    | hskp15
    | epred13_0
    | hskp5
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_360,c_0_214]) ).

cnf(c_0_444,negated_conjecture,
    ( c1_1(a744)
    | c0_1(a744)
    | hskp1
    | hskp2
    | epred37_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_352,c_0_361]) ).

cnf(c_0_445,negated_conjecture,
    ( c1_1(a749)
    | c0_1(a749)
    | hskp1
    | hskp2
    | epred8_0
    | hskp25
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_352,c_0_362]) ).

cnf(c_0_446,negated_conjecture,
    ( epred11_0
    | c3_1(a734)
    | c0_1(a734)
    | hskp7
    | epred6_0
    | hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_273,c_0_237]) ).

cnf(c_0_447,negated_conjecture,
    ( epred46_0
    | epred34_0
    | ~ c2_1(a729)
    | ~ c0_1(a729)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_363,c_0_248]) ).

cnf(c_0_448,negated_conjecture,
    ( epred46_0
    | epred28_0
    | c0_1(a735)
    | ~ c2_1(a735)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_364,c_0_356]) ).

cnf(c_0_449,negated_conjecture,
    ( epred44_0
    | epred7_0
    | c0_1(a735)
    | ~ c2_1(a735)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_365,c_0_356]) ).

cnf(c_0_450,negated_conjecture,
    ( c1_1(a744)
    | c0_1(a744)
    | hskp1
    | hskp2
    | epred5_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_352,c_0_366]) ).

cnf(c_0_451,negated_conjecture,
    ( c1_1(a744)
    | c0_1(a744)
    | hskp1
    | hskp2
    | epred20_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_352,c_0_335]) ).

cnf(c_0_452,negated_conjecture,
    ( c1_1(a730)
    | hskp5
    | hskp20
    | epred20_0
    | ~ c3_1(a730)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_228,c_0_336]) ).

cnf(c_0_453,negated_conjecture,
    ( epred6_0
    | c0_1(a732)
    | hskp1
    | hskp0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_205,c_0_134]) ).

cnf(c_0_454,negated_conjecture,
    ( c2_1(a744)
    | c0_1(a744)
    | hskp1
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_166,c_0_120]) ).

cnf(c_0_455,negated_conjecture,
    ( c2_1(a732)
    | c0_1(a732)
    | hskp5
    | hskp9
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_191,c_0_282]) ).

cnf(c_0_456,negated_conjecture,
    ( c3_1(a749)
    | c0_1(a749)
    | hskp4
    | hskp5
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_215,c_0_284]) ).

cnf(c_0_457,negated_conjecture,
    ( c3_1(a734)
    | c0_1(a734)
    | hskp9
    | hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_367,c_0_175]) ).

cnf(c_0_458,negated_conjecture,
    ( c2_1(a746)
    | c0_1(a746)
    | hskp4
    | hskp6
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_368,c_0_279]) ).

cnf(c_0_459,negated_conjecture,
    ( c1_1(a730)
    | hskp19
    | hskp27
    | ~ c0_1(a730)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_369,c_0_122]) ).

cnf(c_0_460,negated_conjecture,
    ( epred25_0
    | hskp5
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_288,c_0_370]) ).

cnf(c_0_461,negated_conjecture,
    ( epred34_0
    | hskp11
    | hskp18
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_371,c_0_372]) ).

cnf(c_0_462,negated_conjecture,
    ( epred45_0
    | epred19_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_187,c_0_373]) ).

cnf(c_0_463,negated_conjecture,
    ( epred46_0
    | epred43_0
    | epred27_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_464,negated_conjecture,
    ( epred43_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_279]),c_0_280]),c_0_281]) ).

cnf(c_0_465,negated_conjecture,
    ( epred46_0
    | epred43_0
    | epred17_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_321,c_0_376]) ).

cnf(c_0_466,negated_conjecture,
    ( epred43_0
    | epred38_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_182,c_0_317]) ).

cnf(c_0_467,negated_conjecture,
    ( epred43_0
    | epred34_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_180,c_0_317]) ).

cnf(c_0_468,negated_conjecture,
    ( epred46_0
    | epred42_0
    | epred36_0
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_377,c_0_378]) ).

cnf(c_0_469,negated_conjecture,
    ( epred41_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_133]),c_0_149]),c_0_150]) ).

cnf(c_0_470,negated_conjecture,
    ( epred23_0
    | hskp5
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_167]),c_0_169]),c_0_166]) ).

cnf(c_0_471,negated_conjecture,
    ( epred24_0
    | epred18_0
    | epred13_0
    | epred4_0
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_269,c_0_381]) ).

cnf(c_0_472,negated_conjecture,
    ( epred24_0
    | epred18_0
    | epred14_0
    | hskp11 ),
    inference(spm,[status(thm)],[c_0_218,c_0_382]) ).

cnf(c_0_473,negated_conjecture,
    ( epred28_0
    | epred18_0
    | ~ epred17_0 ),
    inference(spm,[status(thm)],[c_0_383,c_0_384]) ).

cnf(c_0_474,negated_conjecture,
    ( epred17_0
    | epred13_0
    | hskp5
    | hskp13
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_385,c_0_386]) ).

cnf(c_0_475,negated_conjecture,
    ( epred17_0
    | hskp13
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_387]),c_0_388]),c_0_389]) ).

cnf(c_0_476,negated_conjecture,
    ( epred28_0
    | epred17_0
    | hskp13
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_316,c_0_181]) ).

cnf(c_0_477,negated_conjecture,
    ( epred38_0
    | epred5_0
    | hskp2
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_182,c_0_390]) ).

cnf(c_0_478,negated_conjecture,
    ( epred13_0
    | hskp5
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_391]),c_0_392]),c_0_393]) ).

cnf(c_0_479,negated_conjecture,
    ( epred13_0
    | epred2_0
    | hskp5
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_236,c_0_214]) ).

cnf(c_0_480,negated_conjecture,
    ( epred28_0
    | epred11_0
    | hskp5
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_394,c_0_395]) ).

cnf(c_0_481,negated_conjecture,
    ( epred46_0
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_111]),c_0_397]) ).

cnf(c_0_482,negated_conjecture,
    ( epred40_0
    | hskp5
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_398]),c_0_193]) ).

cnf(c_0_483,negated_conjecture,
    ( epred34_0
    | epred28_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_484,negated_conjecture,
    ( epred34_0
    | epred5_0
    | hskp2
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_180,c_0_390]) ).

cnf(c_0_485,negated_conjecture,
    ( epred30_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_310]),c_0_311]),c_0_402]) ).

cnf(c_0_486,negated_conjecture,
    ( epred22_0
    | epred20_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_403,c_0_335]) ).

cnf(c_0_487,negated_conjecture,
    ( epred22_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_356]),c_0_404]),c_0_405]) ).

cnf(c_0_488,negated_conjecture,
    ( epred14_0
    | hskp5
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_406]),c_0_193]) ).

cnf(c_0_489,negated_conjecture,
    ( epred12_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_407]),c_0_167]),c_0_169]) ).

cnf(c_0_490,negated_conjecture,
    ( epred9_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_408]),c_0_123]),c_0_122]) ).

cnf(c_0_491,negated_conjecture,
    ( epred7_0
    | ~ c2_1(a744)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_305]),c_0_169]) ).

cnf(c_0_492,negated_conjecture,
    ( epred2_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_186]),c_0_274]),c_0_275]) ).

cnf(c_0_493,negated_conjecture,
    ( epred46_0
    | epred44_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_356]),c_0_404]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ epred46_0
    | ~ epred45_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_410,c_0_117]),c_0_143]),c_0_283]) ).

cnf(c_0_495,negated_conjecture,
    ( ~ epred44_0
    | ~ epred43_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_411,c_0_145]),c_0_283]),c_0_125]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ epred42_0
    | ~ epred30_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_412,c_0_172]),c_0_244]),c_0_290]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ epred41_0
    | ~ epred40_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_413,c_0_323]),c_0_224]),c_0_118]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ epred36_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_414,c_0_243]),c_0_198]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ epred35_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_415,c_0_245]),c_0_198]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_416,c_0_303]),c_0_131]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_417,c_0_246]),c_0_198]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ epred28_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_418,c_0_144]),c_0_118]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ epred25_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_419,c_0_184]),c_0_344]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ epred24_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_420,c_0_324]),c_0_146]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_421,c_0_199]),c_0_283]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ epred20_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_422,c_0_126]),c_0_223]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ epred19_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_423,c_0_126]),c_0_257]) ).

cnf(c_0_508,negated_conjecture,
    ( ~ epred14_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_424,c_0_147]),c_0_141]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_425,c_0_222]),c_0_343]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ epred9_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_426,c_0_170]),c_0_344]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ epred7_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_427,c_0_113]),c_0_254]) ).

cnf(c_0_512,negated_conjecture,
    ( ~ epred5_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_428,c_0_255]),c_0_142]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_429,c_0_185]),c_0_142]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ c3_1(a764)
    | ~ hskp16 ),
    clause94 ).

cnf(c_0_515,negated_conjecture,
    ( c0_1(a764)
    | ~ hskp16 ),
    clause59 ).

cnf(c_0_516,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_430,c_0_431,c_0_432,c_0_433,c_0_434,c_0_435,c_0_436,c_0_437,c_0_438,c_0_439,c_0_440,c_0_441,c_0_442,c_0_443,c_0_444,c_0_445,c_0_446,c_0_447,c_0_448,c_0_449,c_0_450,c_0_451,c_0_452,c_0_453,c_0_454,c_0_455,c_0_456,c_0_457,c_0_458,c_0_459,c_0_460,c_0_461,c_0_293,c_0_189,c_0_462,c_0_463,c_0_464,c_0_465,c_0_466,c_0_467,c_0_468,c_0_195,c_0_469,c_0_288,c_0_470,c_0_471,c_0_472,c_0_473,c_0_384,c_0_381,c_0_474,c_0_178,c_0_475,c_0_476,c_0_477,c_0_478,c_0_479,c_0_480,c_0_239,c_0_481,c_0_196,c_0_194,c_0_482,c_0_337,c_0_483,c_0_484,c_0_301,c_0_485,c_0_151,c_0_486,c_0_403,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_269,c_0_258,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_328,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_383,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_374,c_0_205,c_0_193,c_0_177,c_0_176,c_0_405,c_0_281,c_0_280,c_0_217,c_0_215,c_0_216,c_0_514,c_0_166,c_0_169,c_0_163,c_0_404,c_0_250,c_0_122,c_0_123,c_0_515,c_0_249,c_0_152,c_0_111]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : SYN451-1 : TPTP v8.1.2. Released v2.1.0.
% 0.09/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 2400
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Oct  2 18:48:53 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ic6kOTSp1c/E---3.1_9461.p
% 15.25/2.37  # Version: 3.1pre001
% 15.25/2.37  # Preprocessing class: FSLSSLSMSSSNFFN.
% 15.25/2.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.25/2.37  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 15.25/2.37  # Starting new_bool_3 with 300s (1) cores
% 15.25/2.37  # Starting new_bool_1 with 300s (1) cores
% 15.25/2.37  # Starting sh5l with 300s (1) cores
% 15.25/2.37  # new_bool_3 with pid 9540 completed with status 0
% 15.25/2.37  # Result found by new_bool_3
% 15.25/2.37  # Preprocessing class: FSLSSLSMSSSNFFN.
% 15.25/2.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.25/2.37  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 15.25/2.37  # Starting new_bool_3 with 300s (1) cores
% 15.25/2.37  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 15.25/2.37  # Search class: FGHNF-FSMM00-SFFFFFNN
% 15.25/2.37  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 15.25/2.37  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 15.25/2.37  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 9546 completed with status 0
% 15.25/2.37  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 15.25/2.37  # Preprocessing class: FSLSSLSMSSSNFFN.
% 15.25/2.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.25/2.37  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 15.25/2.37  # Starting new_bool_3 with 300s (1) cores
% 15.25/2.37  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 15.25/2.37  # Search class: FGHNF-FSMM00-SFFFFFNN
% 15.25/2.37  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 15.25/2.37  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 15.25/2.37  # Preprocessing time       : 0.002 s
% 15.25/2.37  # SatCheck found unsatisfiable ground set
% 15.25/2.37  
% 15.25/2.37  # Proof found!
% 15.25/2.37  # SZS status Unsatisfiable
% 15.25/2.37  # SZS output start CNFRefutation
% See solution above
% 15.25/2.37  # Parsed axioms                        : 175
% 15.25/2.37  # Removed by relevancy pruning/SinE    : 0
% 15.25/2.37  # Initial clauses                      : 175
% 15.25/2.37  # Removed in clause preprocessing      : 0
% 15.25/2.37  # Initial clauses in saturation        : 175
% 15.25/2.37  # Processed clauses                    : 8137
% 15.25/2.37  # ...of these trivial                  : 0
% 15.25/2.37  # ...subsumed                          : 3137
% 15.25/2.37  # ...remaining for further processing  : 5000
% 15.25/2.37  # Other redundant clauses eliminated   : 0
% 15.25/2.37  # Clauses deleted for lack of memory   : 0
% 15.25/2.37  # Backward-subsumed                    : 1204
% 15.25/2.37  # Backward-rewritten                   : 52
% 15.25/2.37  # Generated clauses                    : 83821
% 15.25/2.37  # ...of the previous two non-redundant : 79959
% 15.25/2.37  # ...aggressively subsumed             : 0
% 15.25/2.37  # Contextual simplify-reflections      : 641
% 15.25/2.37  # Paramodulations                      : 83745
% 15.25/2.37  # Factorizations                       : 0
% 15.25/2.37  # NegExts                              : 0
% 15.25/2.37  # Equation resolutions                 : 0
% 15.25/2.37  # Total rewrite steps                  : 79
% 15.25/2.37  # Propositional unsat checks           : 1
% 15.25/2.37  #    Propositional check models        : 0
% 15.25/2.37  #    Propositional check unsatisfiable : 1
% 15.25/2.37  #    Propositional clauses             : 74631
% 15.25/2.37  #    Propositional clauses after purity: 73659
% 15.25/2.37  #    Propositional unsat core size     : 125
% 15.25/2.37  #    Propositional preprocessing time  : 0.000
% 15.25/2.37  #    Propositional encoding time       : 0.034
% 15.25/2.37  #    Propositional solver time         : 0.106
% 15.25/2.37  #    Success case prop preproc time    : 0.000
% 15.25/2.37  #    Success case prop encoding time   : 0.034
% 15.25/2.37  #    Success case prop solver time     : 0.106
% 15.25/2.37  # Current number of processed clauses  : 3714
% 15.25/2.37  #    Positive orientable unit clauses  : 1
% 15.25/2.37  #    Positive unorientable unit clauses: 0
% 15.25/2.37  #    Negative unit clauses             : 0
% 15.25/2.37  #    Non-unit-clauses                  : 3713
% 15.25/2.37  # Current number of unprocessed clauses: 70917
% 15.25/2.37  # ...number of literals in the above   : 506540
% 15.25/2.37  # Current number of archived formulas  : 0
% 15.25/2.37  # Current number of archived clauses   : 1256
% 15.25/2.37  # Clause-clause subsumption calls (NU) : 4360717
% 15.25/2.37  # Rec. Clause-clause subsumption calls : 205449
% 15.25/2.37  # Non-unit clause-clause subsumptions  : 5026
% 15.25/2.37  # Unit Clause-clause subsumption calls : 4
% 15.25/2.37  # Rewrite failures with RHS unbound    : 0
% 15.25/2.37  # BW rewrite match attempts            : 1
% 15.25/2.37  # BW rewrite match successes           : 1
% 15.25/2.37  # Condensation attempts                : 8137
% 15.25/2.37  # Condensation successes               : 0
% 15.25/2.37  # Termbank termtop insertions          : 815260
% 15.25/2.37  
% 15.25/2.37  # -------------------------------------------------
% 15.25/2.37  # User time                : 1.821 s
% 15.25/2.37  # System time              : 0.047 s
% 15.25/2.37  # Total time               : 1.868 s
% 15.25/2.37  # Maximum resident set size: 2140 pages
% 15.25/2.37  
% 15.25/2.37  # -------------------------------------------------
% 15.25/2.37  # User time                : 1.824 s
% 15.25/2.37  # System time              : 0.049 s
% 15.25/2.37  # Total time               : 1.874 s
% 15.25/2.37  # Maximum resident set size: 1864 pages
% 15.25/2.37  % E---3.1 exiting
% 15.25/2.37  % E---3.1 exiting
%------------------------------------------------------------------------------