TSTP Solution File: SYN460-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN460-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 20:31:45 EDT 2023

% Result   : Unsatisfiable 13.18s 2.08s
% Output   : CNFRefutation 13.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  188
% Syntax   : Number of formulae    :  633 (   2 unt;   0 def)
%            Number of atoms       : 2362 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2847 (1118   ~;1682   |;   0   &)
%                                         (  47 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   86 (  85 usr;  82 prp; 0-1 aty)
%            Number of functors    :   33 (  33 usr;  33 con; 0-0 aty)
%            Number of variables   :  275 (   0 sgn;  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause4,negated_conjecture,
    ( ndr1_0
    | ~ hskp55 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause4) ).

cnf(clause64,negated_conjecture,
    ( hskp21
    | hskp54
    | hskp55 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause64) ).

cnf(clause5,negated_conjecture,
    ( ndr1_0
    | ~ hskp54 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause5) ).

cnf(clause38,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause38) ).

cnf(clause159,negated_conjecture,
    ( ~ c1_1(a2252)
    | ~ hskp58 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause159) ).

cnf(clause65,negated_conjecture,
    ( c0_1(a2252)
    | ~ hskp58 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause65) ).

cnf(clause158,negated_conjecture,
    ( ~ c2_1(a2252)
    | ~ hskp58 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause158) ).

cnf(clause246,negated_conjecture,
    ( c2_1(X1)
    | hskp58
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause246) ).

cnf(clause256,negated_conjecture,
    ( hskp0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause256) ).

cnf(clause245,negated_conjecture,
    ( c3_1(X1)
    | hskp18
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause245) ).

cnf(clause124,negated_conjecture,
    ( c3_1(a2183)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause124) ).

cnf(clause123,negated_conjecture,
    ( c2_1(a2183)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause123) ).

cnf(clause187,negated_conjecture,
    ( ~ c0_1(a2183)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause187) ).

cnf(clause153,negated_conjecture,
    ( c3_1(a2191)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause153) ).

cnf(clause233,negated_conjecture,
    ( ~ c1_1(a2191)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause233) ).

cnf(clause232,negated_conjecture,
    ( ~ c2_1(a2191)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause232) ).

cnf(clause102,negated_conjecture,
    ( c1_1(a2207)
    | ~ hskp42 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause102) ).

cnf(clause103,negated_conjecture,
    ( c0_1(a2207)
    | ~ hskp42 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause103) ).

cnf(clause169,negated_conjecture,
    ( ~ c3_1(a2207)
    | ~ hskp42 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause169) ).

cnf(clause120,negated_conjecture,
    ( c1_1(a2185)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause120) ).

cnf(clause184,negated_conjecture,
    ( ~ c2_1(a2185)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause184) ).

cnf(clause121,negated_conjecture,
    ( c3_1(a2185)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause121) ).

cnf(clause186,negated_conjecture,
    ( ~ c1_1(a2184)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause186) ).

cnf(clause122,negated_conjecture,
    ( c0_1(a2184)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause122) ).

cnf(clause185,negated_conjecture,
    ( ~ c3_1(a2184)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause185) ).

cnf(clause60,negated_conjecture,
    ( hskp29
    | hskp30
    | hskp31 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause60) ).

cnf(clause255,negated_conjecture,
    ( c3_1(X1)
    | hskp17
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause255) ).

cnf(clause203,negated_conjecture,
    ( ~ c2_1(a2222)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause203) ).

cnf(clause140,negated_conjecture,
    ( c0_1(a2222)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause140) ).

cnf(clause240,negated_conjecture,
    ( ~ c1_1(a2181)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause240) ).

cnf(clause239,negated_conjecture,
    ( ~ c0_1(a2181)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause239) ).

cnf(clause241,negated_conjecture,
    ( ~ c2_1(a2181)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause241) ).

cnf(clause109,negated_conjecture,
    ( c1_1(a2200)
    | ~ hskp38 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause109) ).

cnf(clause174,negated_conjecture,
    ( ~ c0_1(a2200)
    | ~ hskp38 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause174) ).

cnf(clause175,negated_conjecture,
    ( ~ c2_1(a2200)
    | ~ hskp38 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause175) ).

cnf(clause70,negated_conjecture,
    ( c1_1(a2241)
    | ~ hskp55 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause70) ).

cnf(clause71,negated_conjecture,
    ( c0_1(a2241)
    | ~ hskp55 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause71) ).

cnf(clause72,negated_conjecture,
    ( c2_1(a2241)
    | ~ hskp55 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause72) ).

cnf(clause73,negated_conjecture,
    ( c1_1(a2240)
    | ~ hskp54 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause73) ).

cnf(clause75,negated_conjecture,
    ( c0_1(a2240)
    | ~ hskp54 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause75) ).

cnf(clause74,negated_conjecture,
    ( c3_1(a2240)
    | ~ hskp54 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause74) ).

cnf(clause229,negated_conjecture,
    ( ~ c1_1(a2197)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause229) ).

cnf(clause227,negated_conjecture,
    ( ~ c0_1(a2197)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause227) ).

cnf(clause228,negated_conjecture,
    ( ~ c3_1(a2197)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause228) ).

cnf(clause110,negated_conjecture,
    ( c1_1(a2196)
    | ~ hskp37 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause110) ).

cnf(clause111,negated_conjecture,
    ( c2_1(a2196)
    | ~ hskp37 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause111) ).

cnf(clause176,negated_conjecture,
    ( ~ c0_1(a2196)
    | ~ hskp37 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause176) ).

cnf(clause141,negated_conjecture,
    ( c3_1(a2222)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause141) ).

cnf(clause157,negated_conjecture,
    ( c3_1(a2182)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause157) ).

cnf(clause238,negated_conjecture,
    ( ~ c2_1(a2182)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause238) ).

cnf(clause247,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp37
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause247) ).

cnf(clause118,negated_conjecture,
    ( c1_1(a2188)
    | ~ hskp33 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause118) ).

cnf(clause181,negated_conjecture,
    ( ~ c2_1(a2188)
    | ~ hskp33 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause181) ).

cnf(clause259,negated_conjecture,
    ( c1_1(X1)
    | hskp46
    | hskp34
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause259) ).

cnf(clause201,negated_conjecture,
    ( ~ c1_1(a2233)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause201) ).

cnf(clause202,negated_conjecture,
    ( ~ c3_1(a2233)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause202) ).

cnf(clause251,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp16
    | hskp17
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause251) ).

cnf(clause244,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp42
    | hskp43
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause244) ).

cnf(clause253,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp19
    | hskp52
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause253) ).

cnf(clause249,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp41
    | hskp10
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause249) ).

cnf(clause257,negated_conjecture,
    ( c1_1(X1)
    | hskp33
    | hskp34
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause257) ).

cnf(clause180,negated_conjecture,
    ( ~ c3_1(a2188)
    | ~ hskp33 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause180) ).

cnf(clause267,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp40
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause267) ).

cnf(clause80,negated_conjecture,
    ( c3_1(a2234)
    | ~ hskp52 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause80) ).

cnf(clause81,negated_conjecture,
    ( c2_1(a2234)
    | ~ hskp52 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause81) ).

cnf(clause107,negated_conjecture,
    ( c3_1(a2204)
    | ~ hskp40 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause107) ).

cnf(clause106,negated_conjecture,
    ( c2_1(a2204)
    | ~ hskp40 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause106) ).

cnf(clause171,negated_conjecture,
    ( ~ c1_1(a2204)
    | ~ hskp40 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause171) ).

cnf(clause200,negated_conjecture,
    ( ~ c0_1(a2233)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause200) ).

cnf(clause79,negated_conjecture,
    ( c1_1(a2234)
    | ~ hskp52 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause79) ).

cnf(clause237,negated_conjecture,
    ( ~ c0_1(a2182)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause237) ).

cnf(clause105,negated_conjecture,
    ( c1_1(a2205)
    | ~ hskp41 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause105) ).

cnf(clause170,negated_conjecture,
    ( ~ c0_1(a2205)
    | ~ hskp41 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause170) ).

cnf(clause220,negated_conjecture,
    ( ~ c3_1(a2206)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause220) ).

cnf(clause91,negated_conjecture,
    ( c2_1(a2226)
    | ~ hskp47 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause91) ).

cnf(clause130,negated_conjecture,
    ( c2_1(a2178)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause130) ).

cnf(clause98,negated_conjecture,
    ( c2_1(a2215)
    | ~ hskp44 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause98) ).

cnf(clause137,negated_conjecture,
    ( c2_1(a2239)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause137) ).

cnf(clause142,negated_conjecture,
    ( c2_1(a2221)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause142) ).

cnf(clause116,negated_conjecture,
    ( c1_1(a2189)
    | ~ hskp34 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause116) ).

cnf(clause182,negated_conjecture,
    ( ~ c3_1(a2186)
    | ~ hskp32 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause182) ).

cnf(clause198,negated_conjecture,
    ( ~ c3_1(a2239)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause198) ).

cnf(clause205,negated_conjecture,
    ( ~ c3_1(a2221)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause205) ).

cnf(clause100,negated_conjecture,
    ( c3_1(a2208)
    | ~ hskp43 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause100) ).

cnf(clause179,negated_conjecture,
    ( ~ c0_1(a2189)
    | ~ hskp34 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause179) ).

cnf(clause117,negated_conjecture,
    ( c3_1(a2189)
    | ~ hskp34 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause117) ).

cnf(clause62,negated_conjecture,
    ( hskp34
    | hskp37
    | hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause62) ).

cnf(clause219,negated_conjecture,
    ( ~ c0_1(a2206)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause219) ).

cnf(clause218,negated_conjecture,
    ( ~ c2_1(a2206)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause218) ).

cnf(clause99,negated_conjecture,
    ( c1_1(a2215)
    | ~ hskp44 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause99) ).

cnf(clause167,negated_conjecture,
    ( ~ c0_1(a2215)
    | ~ hskp44 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause167) ).

cnf(clause166,negated_conjecture,
    ( ~ c3_1(a2218)
    | ~ hskp46 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause166) ).

cnf(clause93,negated_conjecture,
    ( c0_1(a2218)
    | ~ hskp46 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause93) ).

cnf(clause94,negated_conjecture,
    ( c2_1(a2218)
    | ~ hskp46 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause94) ).

cnf(clause213,negated_conjecture,
    ( ~ c3_1(a2212)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause213) ).

cnf(clause145,negated_conjecture,
    ( c0_1(a2212)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause145) ).

cnf(clause146,negated_conjecture,
    ( c2_1(a2212)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause146) ).

cnf(clause226,negated_conjecture,
    ( ~ c3_1(a2198)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause226) ).

cnf(clause151,negated_conjecture,
    ( c0_1(a2198)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause151) ).

cnf(clause150,negated_conjecture,
    ( c2_1(a2198)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause150) ).

cnf(clause197,negated_conjecture,
    ( ~ c0_1(a2239)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause197) ).

cnf(clause204,negated_conjecture,
    ( ~ c0_1(a2221)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause204) ).

cnf(clause89,negated_conjecture,
    ( c3_1(a2228)
    | ~ hskp48 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause89) ).

cnf(clause90,negated_conjecture,
    ( c2_1(a2228)
    | ~ hskp48 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause90) ).

cnf(clause164,negated_conjecture,
    ( ~ c0_1(a2228)
    | ~ hskp48 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause164) ).

cnf(clause207,negated_conjecture,
    ( ~ c1_1(a2220)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause207) ).

cnf(clause208,negated_conjecture,
    ( ~ c3_1(a2220)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause208) ).

cnf(clause206,negated_conjecture,
    ( ~ c2_1(a2220)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause206) ).

cnf(clause119,negated_conjecture,
    ( c0_1(a2186)
    | ~ hskp32 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause119) ).

cnf(clause190,negated_conjecture,
    ( ~ c3_1(a2178)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause190) ).

cnf(clause129,negated_conjecture,
    ( c0_1(a2178)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause129) ).

cnf(clause183,negated_conjecture,
    ( ~ c2_1(a2186)
    | ~ hskp32 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause183) ).

cnf(clause296,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause296) ).

cnf(clause292,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause292) ).

cnf(clause293,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c0_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause293) ).

cnf(clause295,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | c2_1(X3)
    | c0_1(X3)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause295) ).

cnf(clause294,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause294) ).

cnf(clause288,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause288) ).

cnf(clause291,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause291) ).

cnf(clause287,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause287) ).

cnf(clause289,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause289) ).

cnf(clause286,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause286) ).

cnf(clause285,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause285) ).

cnf(clause284,negated_conjecture,
    ( c0_1(X1)
    | hskp33
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause284) ).

cnf(clause281,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | hskp10
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause281) ).

cnf(clause282,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | hskp40
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause282) ).

cnf(clause278,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | hskp44
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause278) ).

cnf(clause279,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | hskp48
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause279) ).

cnf(clause274,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp4
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause274) ).

cnf(clause275,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | hskp10
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause275) ).

cnf(clause272,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp26
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause272) ).

cnf(clause268,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause268) ).

cnf(clause270,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp32
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause270) ).

cnf(clause269,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp33
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause269) ).

cnf(clause266,negated_conjecture,
    ( c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | hskp38
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause266) ).

cnf(clause263,negated_conjecture,
    ( c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause263) ).

cnf(clause264,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | hskp47
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause264) ).

cnf(clause168,negated_conjecture,
    ( ~ c2_1(a2208)
    | ~ hskp43 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause168) ).

cnf(clause165,negated_conjecture,
    ( ~ c1_1(a2226)
    | ~ hskp47 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause165) ).

cnf(clause101,negated_conjecture,
    ( c0_1(a2208)
    | ~ hskp43 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause101) ).

cnf(clause92,negated_conjecture,
    ( c0_1(a2226)
    | ~ hskp47 ),
    file('/export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p',clause92) ).

fof(c_0_141,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_142,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_143,negated_conjecture,
    ( ndr1_0
    | ~ hskp55 ),
    clause4 ).

cnf(c_0_144,negated_conjecture,
    ( hskp21
    | hskp54
    | hskp55 ),
    clause64 ).

cnf(c_0_145,negated_conjecture,
    ( ndr1_0
    | ~ hskp54 ),
    clause5 ).

cnf(c_0_146,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    clause38 ).

fof(c_0_147,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_148,negated_conjecture,
    ( ~ c1_1(a2252)
    | ~ hskp58 ),
    clause159 ).

cnf(c_0_149,negated_conjecture,
    ( epred31_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_141]) ).

cnf(c_0_150,negated_conjecture,
    ( c0_1(a2252)
    | ~ hskp58 ),
    clause65 ).

cnf(c_0_151,negated_conjecture,
    ( epred4_0
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_142]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ c2_1(a2252)
    | ~ hskp58 ),
    clause158 ).

cnf(c_0_153,negated_conjecture,
    ( c2_1(X1)
    | hskp58
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause246 ).

cnf(c_0_154,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_146]) ).

fof(c_0_155,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_156,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_157,plain,
    ( ~ epred54_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_158,negated_conjecture,
    ( hskp0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause256 ).

cnf(c_0_159,negated_conjecture,
    ( c3_1(X1)
    | hskp18
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause245 ).

fof(c_0_160,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_161,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_162,negated_conjecture,
    ( epred14_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_147]) ).

cnf(c_0_163,negated_conjecture,
    ( c3_1(a2183)
    | ~ hskp29 ),
    clause124 ).

cnf(c_0_164,negated_conjecture,
    ( c2_1(a2183)
    | ~ hskp29 ),
    clause123 ).

cnf(c_0_165,negated_conjecture,
    ( ~ c0_1(a2183)
    | ~ hskp29 ),
    clause187 ).

cnf(c_0_166,negated_conjecture,
    ( epred31_0
    | ~ c3_1(a2252)
    | ~ hskp58 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).

cnf(c_0_167,negated_conjecture,
    ( epred4_0
    | c3_1(a2252)
    | ~ hskp58 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_151]),c_0_152]) ).

cnf(c_0_168,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp58
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154])]) ).

cnf(c_0_169,negated_conjecture,
    ( c3_1(a2191)
    | ~ hskp4 ),
    clause153 ).

cnf(c_0_170,negated_conjecture,
    ( ~ c1_1(a2191)
    | ~ hskp4 ),
    clause233 ).

cnf(c_0_171,negated_conjecture,
    ( ~ c2_1(a2191)
    | ~ hskp4 ),
    clause232 ).

fof(c_0_172,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( hskp4
        | c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_173,negated_conjecture,
    ( epred12_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_155]) ).

fof(c_0_174,plain,
    ( ~ epred56_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_175,negated_conjecture,
    ( epred45_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_156]),c_0_154])]) ).

fof(c_0_176,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_177,negated_conjecture,
    ( epred54_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_157]) ).

fof(c_0_178,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_179,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( hskp38
        | c0_1(X2)
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_180,negated_conjecture,
    ( hskp0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_154])]) ).

cnf(c_0_181,negated_conjecture,
    ( c1_1(a2207)
    | ~ hskp42 ),
    clause102 ).

cnf(c_0_182,negated_conjecture,
    ( c0_1(a2207)
    | ~ hskp42 ),
    clause103 ).

cnf(c_0_183,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp18
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_154])]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ c3_1(a2207)
    | ~ hskp42 ),
    clause169 ).

fof(c_0_185,plain,
    ( ~ epred46_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_186,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_187,negated_conjecture,
    ( c1_1(a2185)
    | ~ hskp31 ),
    clause120 ).

cnf(c_0_188,negated_conjecture,
    ( ~ c2_1(a2185)
    | ~ hskp31 ),
    clause184 ).

cnf(c_0_189,negated_conjecture,
    ( epred22_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_160]) ).

cnf(c_0_190,negated_conjecture,
    ( c3_1(a2185)
    | ~ hskp31 ),
    clause121 ).

cnf(c_0_191,negated_conjecture,
    ( ~ c1_1(a2184)
    | ~ hskp30 ),
    clause186 ).

cnf(c_0_192,negated_conjecture,
    ( epred2_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_161]) ).

cnf(c_0_193,negated_conjecture,
    ( c0_1(a2184)
    | ~ hskp30 ),
    clause122 ).

cnf(c_0_194,negated_conjecture,
    ( ~ c3_1(a2184)
    | ~ hskp30 ),
    clause185 ).

cnf(c_0_195,negated_conjecture,
    ( epred14_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]),c_0_165]) ).

cnf(c_0_196,negated_conjecture,
    ( hskp29
    | hskp30
    | hskp31 ),
    clause60 ).

fof(c_0_197,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_198,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_199,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( hskp1
        | c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_200,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_201,negated_conjecture,
    ( epred31_0
    | epred4_0
    | ~ hskp58 ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_202,negated_conjecture,
    ( hskp58
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_171]) ).

cnf(c_0_203,negated_conjecture,
    ( epred25_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp4
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_172]),c_0_154])]) ).

cnf(c_0_204,negated_conjecture,
    ( epred12_0
    | ~ hskp58 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_173]),c_0_150]),c_0_152]) ).

cnf(c_0_205,negated_conjecture,
    ( c3_1(X1)
    | hskp17
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause255 ).

cnf(c_0_206,negated_conjecture,
    ( epred56_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_174]) ).

fof(c_0_207,plain,
    ( ~ epred55_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_208,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp40
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_209,negated_conjecture,
    ( epred45_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_175,c_0_151]) ).

fof(c_0_210,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_211,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_212,negated_conjecture,
    ( epred49_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_176]),c_0_154])]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ c2_1(a2222)
    | ~ hskp18 ),
    clause203 ).

cnf(c_0_214,negated_conjecture,
    ( epred54_0
    | epred12_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_177,c_0_173]) ).

cnf(c_0_215,negated_conjecture,
    ( c0_1(a2222)
    | ~ hskp18 ),
    clause140 ).

cnf(c_0_216,negated_conjecture,
    ( epred16_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_178]) ).

fof(c_0_217,plain,
    ( ~ epred41_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c3_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_218,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_219,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( hskp33
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_220,negated_conjecture,
    ( ~ c1_1(a2181)
    | ~ hskp0 ),
    clause240 ).

cnf(c_0_221,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp38 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_179]),c_0_154])]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ c0_1(a2181)
    | ~ hskp0 ),
    clause239 ).

cnf(c_0_223,negated_conjecture,
    ( ~ c2_1(a2181)
    | ~ hskp0 ),
    clause241 ).

cnf(c_0_224,negated_conjecture,
    ( hskp0
    | ~ c2_1(a2207)
    | ~ hskp42 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]) ).

cnf(c_0_225,negated_conjecture,
    ( c2_1(a2207)
    | hskp18
    | ~ hskp42 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_181]),c_0_184]) ).

fof(c_0_226,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_227,negated_conjecture,
    ( c1_1(a2200)
    | ~ hskp38 ),
    clause109 ).

cnf(c_0_228,negated_conjecture,
    ( ~ c0_1(a2200)
    | ~ hskp38 ),
    clause174 ).

cnf(c_0_229,negated_conjecture,
    ( ~ c2_1(a2200)
    | ~ hskp38 ),
    clause175 ).

cnf(c_0_230,negated_conjecture,
    ( epred46_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_185]) ).

cnf(c_0_231,negated_conjecture,
    ( c1_1(a2241)
    | ~ hskp55 ),
    clause70 ).

cnf(c_0_232,negated_conjecture,
    ( c0_1(a2241)
    | ~ hskp55 ),
    clause71 ).

cnf(c_0_233,negated_conjecture,
    ( c2_1(a2241)
    | ~ hskp55 ),
    clause72 ).

cnf(c_0_234,negated_conjecture,
    ( c1_1(a2240)
    | ~ hskp54 ),
    clause73 ).

cnf(c_0_235,negated_conjecture,
    ( c0_1(a2240)
    | ~ hskp54 ),
    clause75 ).

cnf(c_0_236,negated_conjecture,
    ( epred36_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_186]) ).

cnf(c_0_237,negated_conjecture,
    ( c3_1(a2240)
    | ~ hskp54 ),
    clause74 ).

fof(c_0_238,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_239,negated_conjecture,
    ( epred54_0
    | ~ c0_1(a2185)
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_187]),c_0_188]) ).

cnf(c_0_240,negated_conjecture,
    ( epred22_0
    | c0_1(a2185)
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_187]),c_0_190]) ).

cnf(c_0_241,negated_conjecture,
    ( epred2_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_194]) ).

cnf(c_0_242,negated_conjecture,
    ( epred14_0
    | hskp30
    | hskp31 ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ c1_1(a2197)
    | ~ hskp6 ),
    clause229 ).

cnf(c_0_244,negated_conjecture,
    ( epred43_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_197]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ c0_1(a2197)
    | ~ hskp6 ),
    clause227 ).

cnf(c_0_246,negated_conjecture,
    ( ~ c3_1(a2197)
    | ~ hskp6 ),
    clause228 ).

fof(c_0_247,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( hskp47
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_248,negated_conjecture,
    ( epred34_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_198]) ).

cnf(c_0_249,negated_conjecture,
    ( c1_1(a2196)
    | ~ hskp37 ),
    clause110 ).

cnf(c_0_250,negated_conjecture,
    ( c2_1(a2196)
    | ~ hskp37 ),
    clause111 ).

cnf(c_0_251,negated_conjecture,
    ( epred5_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp1
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_154])]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ c0_1(a2196)
    | ~ hskp37 ),
    clause176 ).

cnf(c_0_253,negated_conjecture,
    ( epred24_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_200]) ).

fof(c_0_254,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_255,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_256,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_257,negated_conjecture,
    ( epred31_0
    | epred4_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_258,negated_conjecture,
    ( epred25_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_203,c_0_151]) ).

cnf(c_0_259,negated_conjecture,
    ( epred12_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_204,c_0_202]) ).

cnf(c_0_260,negated_conjecture,
    ( c3_1(a2222)
    | ~ hskp18 ),
    clause141 ).

cnf(c_0_261,negated_conjecture,
    ( c3_1(a2182)
    | ~ hskp1 ),
    clause157 ).

cnf(c_0_262,negated_conjecture,
    ( ~ c2_1(a2182)
    | ~ hskp1 ),
    clause238 ).

cnf(c_0_263,negated_conjecture,
    ( c3_1(X1)
    | hskp17
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_154])]) ).

cnf(c_0_264,negated_conjecture,
    ( epred56_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_206]),c_0_169]),c_0_171]) ).

cnf(c_0_265,negated_conjecture,
    ( epred55_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_207]) ).

cnf(c_0_266,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp37
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause247 ).

cnf(c_0_267,negated_conjecture,
    ( c1_1(a2188)
    | ~ hskp33 ),
    clause118 ).

cnf(c_0_268,negated_conjecture,
    ( ~ c2_1(a2188)
    | ~ hskp33 ),
    clause181 ).

cnf(c_0_269,negated_conjecture,
    ( epred7_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp40
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_208]),c_0_154])]) ).

fof(c_0_270,plain,
    ( ~ epred53_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_271,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_272,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_273,negated_conjecture,
    ( epred45_0
    | epred4_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp58 ),
    inference(spm,[status(thm)],[c_0_168,c_0_209]) ).

cnf(c_0_274,negated_conjecture,
    ( epred9_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_210]) ).

cnf(c_0_275,negated_conjecture,
    ( epred52_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_211]) ).

cnf(c_0_276,negated_conjecture,
    ( epred49_0
    | epred2_0
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_212,c_0_192]) ).

cnf(c_0_277,negated_conjecture,
    ( epred54_0
    | epred12_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]) ).

cnf(c_0_278,negated_conjecture,
    ( epred4_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_183,c_0_151]) ).

cnf(c_0_279,negated_conjecture,
    ( epred22_0
    | epred16_0
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_189,c_0_216]) ).

cnf(c_0_280,negated_conjecture,
    ( epred41_0
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_217]) ).

cnf(c_0_281,negated_conjecture,
    ( epred6_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_218]) ).

cnf(c_0_282,negated_conjecture,
    ( c1_1(X1)
    | hskp46
    | hskp34
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause259 ).

fof(c_0_283,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( hskp32
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_284,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( hskp26
        | c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_285,negated_conjecture,
    ( ~ c1_1(a2233)
    | ~ hskp19 ),
    clause201 ).

cnf(c_0_286,negated_conjecture,
    ( ~ c3_1(a2233)
    | ~ hskp19 ),
    clause202 ).

cnf(c_0_287,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp16
    | hskp17
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause251 ).

cnf(c_0_288,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp42
    | hskp43
    | ~ ndr1_0 ),
    clause244 ).

cnf(c_0_289,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp19
    | hskp52
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause253 ).

cnf(c_0_290,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp41
    | hskp10
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause249 ).

cnf(c_0_291,negated_conjecture,
    ( c1_1(X1)
    | hskp33
    | hskp34
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause257 ).

fof(c_0_292,plain,
    ( ~ epred47_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c2_1(X3)
        | ~ ndr1_0
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_293,plain,
    ( ~ epred42_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c3_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_294,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( hskp33
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_295,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( hskp10
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_296,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( hskp40
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_297,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( hskp44
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_298,plain,
    ( ~ epred29_0
  <=> ! [X1] :
        ( hskp48
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_299,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( hskp10
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_300,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp33
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_219]),c_0_154])]) ).

cnf(c_0_301,negated_conjecture,
    ( epred8_0
    | hskp38
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]),c_0_223]) ).

cnf(c_0_302,negated_conjecture,
    ( hskp0
    | hskp18
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_303,negated_conjecture,
    ( ~ c3_1(a2188)
    | ~ hskp33 ),
    clause180 ).

cnf(c_0_304,negated_conjecture,
    ( epred40_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_226]),c_0_154])]) ).

cnf(c_0_305,negated_conjecture,
    ( epred22_0
    | ~ c3_1(a2200)
    | ~ hskp38 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_227]),c_0_228]) ).

cnf(c_0_306,negated_conjecture,
    ( c3_1(a2200)
    | hskp18
    | ~ hskp38 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_227]),c_0_229]) ).

cnf(c_0_307,negated_conjecture,
    ( epred46_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_230]),c_0_222]),c_0_223]) ).

cnf(c_0_308,negated_conjecture,
    ( hskp0
    | ~ hskp55 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_231]),c_0_232]),c_0_233]) ).

cnf(c_0_309,negated_conjecture,
    ( hskp0
    | ~ c2_1(a2240)
    | ~ hskp54 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_234]),c_0_235]) ).

cnf(c_0_310,negated_conjecture,
    ( epred54_0
    | c2_1(a2240)
    | ~ hskp54 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_234]),c_0_235]) ).

cnf(c_0_311,negated_conjecture,
    ( epred36_0
    | c2_1(a2240)
    | ~ hskp54 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_234]),c_0_237]) ).

cnf(c_0_312,negated_conjecture,
    ( epred38_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_238]) ).

cnf(c_0_313,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp40
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause267 ).

cnf(c_0_314,negated_conjecture,
    ( epred54_0
    | epred22_0
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_315,negated_conjecture,
    ( epred14_0
    | epred2_0
    | hskp31 ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_316,negated_conjecture,
    ( c3_1(a2234)
    | ~ hskp52 ),
    clause80 ).

cnf(c_0_317,negated_conjecture,
    ( c2_1(a2234)
    | ~ hskp52 ),
    clause81 ).

cnf(c_0_318,negated_conjecture,
    ( c3_1(a2204)
    | ~ hskp40 ),
    clause107 ).

cnf(c_0_319,negated_conjecture,
    ( c2_1(a2204)
    | ~ hskp40 ),
    clause106 ).

cnf(c_0_320,negated_conjecture,
    ( ~ c1_1(a2204)
    | ~ hskp40 ),
    clause171 ).

cnf(c_0_321,negated_conjecture,
    ( ~ c0_1(a2233)
    | ~ hskp19 ),
    clause200 ).

cnf(c_0_322,negated_conjecture,
    ( epred43_0
    | ~ c2_1(a2197)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]) ).

cnf(c_0_323,negated_conjecture,
    ( epred4_0
    | c2_1(a2197)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_151]),c_0_246]) ).

cnf(c_0_324,negated_conjecture,
    ( c1_1(a2234)
    | ~ hskp52 ),
    clause79 ).

cnf(c_0_325,negated_conjecture,
    ( epred3_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp47
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_247]),c_0_154])]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ c0_1(a2182)
    | ~ hskp1 ),
    clause237 ).

cnf(c_0_327,negated_conjecture,
    ( epred34_0
    | ~ c3_1(a2196)
    | ~ hskp37 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]) ).

cnf(c_0_328,negated_conjecture,
    ( epred5_0
    | c3_1(a2196)
    | hskp1
    | ~ hskp37 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_249]),c_0_252]) ).

cnf(c_0_329,negated_conjecture,
    ( c1_1(a2205)
    | ~ hskp41 ),
    clause105 ).

cnf(c_0_330,negated_conjecture,
    ( ~ c0_1(a2205)
    | ~ hskp41 ),
    clause170 ).

fof(c_0_331,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_332,negated_conjecture,
    ( epred24_0
    | ~ c2_1(a2184)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_253]),c_0_193]) ).

cnf(c_0_333,negated_conjecture,
    ( epred4_0
    | c2_1(a2184)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_151]),c_0_194]) ).

cnf(c_0_334,negated_conjecture,
    ( epred50_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_254]),c_0_154])]) ).

cnf(c_0_335,negated_conjecture,
    ( epred48_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_255]),c_0_154])]) ).

cnf(c_0_336,negated_conjecture,
    ( epred28_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_256]) ).

cnf(c_0_337,negated_conjecture,
    ( epred31_0
    | epred25_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_338,negated_conjecture,
    ( epred25_0
    | epred12_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_259,c_0_258]) ).

cnf(c_0_339,negated_conjecture,
    ( c1_1(a2222)
    | hskp58
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_260]),c_0_213]) ).

cnf(c_0_340,negated_conjecture,
    ( c1_1(a2182)
    | hskp58
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_261]),c_0_262]) ).

cnf(c_0_341,negated_conjecture,
    ( epred2_0
    | c3_1(X1)
    | hskp17
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_263,c_0_192]) ).

cnf(c_0_342,negated_conjecture,
    ( c3_1(a2241)
    | hskp17
    | ~ hskp55 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_231]),c_0_233]) ).

cnf(c_0_343,negated_conjecture,
    ( epred56_0
    | epred25_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_264,c_0_258]) ).

cnf(c_0_344,negated_conjecture,
    ( epred55_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_265,c_0_151]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ c3_1(a2206)
    | ~ hskp10 ),
    clause220 ).

cnf(c_0_346,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp37
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_154])]) ).

cnf(c_0_347,negated_conjecture,
    ( epred55_0
    | c0_1(a2188)
    | ~ hskp33 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_267]),c_0_268]) ).

cnf(c_0_348,negated_conjecture,
    ( epred54_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_177,c_0_151]) ).

cnf(c_0_349,negated_conjecture,
    ( epred7_0
    | c1_1(a2222)
    | hskp40
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_260]),c_0_213]) ).

cnf(c_0_350,negated_conjecture,
    ( epred53_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_270]),c_0_154])]) ).

cnf(c_0_351,negated_conjecture,
    ( epred7_0
    | c1_1(a2182)
    | hskp40
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_261]),c_0_262]) ).

cnf(c_0_352,negated_conjecture,
    ( epred18_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_271]) ).

cnf(c_0_353,negated_conjecture,
    ( epred5_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_251,c_0_151]) ).

cnf(c_0_354,negated_conjecture,
    ( epred51_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_272]) ).

cnf(c_0_355,negated_conjecture,
    ( epred5_0
    | c3_1(a2200)
    | hskp1
    | ~ hskp38 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_227]),c_0_228]) ).

cnf(c_0_356,negated_conjecture,
    ( epred45_0
    | epred12_0
    | epred4_0
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_204,c_0_273]) ).

cnf(c_0_357,negated_conjecture,
    ( epred9_0
    | c3_1(a2241)
    | ~ hskp55 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_231]),c_0_232]) ).

cnf(c_0_358,negated_conjecture,
    ( epred52_0
    | epred49_0
    | epred2_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_359,negated_conjecture,
    ( c2_1(a2226)
    | ~ hskp47 ),
    clause91 ).

cnf(c_0_360,negated_conjecture,
    ( c2_1(a2178)
    | ~ hskp26 ),
    clause130 ).

cnf(c_0_361,negated_conjecture,
    ( epred54_0
    | epred12_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_277,c_0_278]) ).

cnf(c_0_362,negated_conjecture,
    ( epred41_0
    | epred22_0
    | epred16_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_363,negated_conjecture,
    ( epred6_0
    | c3_1(a2181)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_281]),c_0_222]) ).

cnf(c_0_364,negated_conjecture,
    ( c1_1(X1)
    | hskp34
    | hskp46
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_154])]) ).

cnf(c_0_365,negated_conjecture,
    ( epred11_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp32
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_283]),c_0_154])]) ).

cnf(c_0_366,negated_conjecture,
    ( epred21_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp26
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_284]),c_0_154])]) ).

cnf(c_0_367,negated_conjecture,
    ( epred4_0
    | c2_1(a2233)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_151]),c_0_286]) ).

cnf(c_0_368,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp16
    | hskp17
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_154])]) ).

cnf(c_0_369,negated_conjecture,
    ( epred4_0
    | c3_1(a2181)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_151]),c_0_223]) ).

cnf(c_0_370,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp42
    | hskp43 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_154])]) ).

cnf(c_0_371,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp19
    | hskp52
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_154])]) ).

cnf(c_0_372,negated_conjecture,
    ( c2_1(a2215)
    | ~ hskp44 ),
    clause98 ).

cnf(c_0_373,negated_conjecture,
    ( c2_1(a2239)
    | ~ hskp21 ),
    clause137 ).

cnf(c_0_374,negated_conjecture,
    ( c2_1(a2221)
    | ~ hskp17 ),
    clause142 ).

cnf(c_0_375,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp10
    | hskp41
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_154])]) ).

cnf(c_0_376,negated_conjecture,
    ( c1_1(X1)
    | hskp33
    | hskp34
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_154])]) ).

cnf(c_0_377,negated_conjecture,
    ( c1_1(a2189)
    | ~ hskp34 ),
    clause116 ).

cnf(c_0_378,negated_conjecture,
    ( epred47_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_292]),c_0_154])]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ c3_1(a2186)
    | ~ hskp32 ),
    clause182 ).

cnf(c_0_380,negated_conjecture,
    ( ~ c3_1(a2239)
    | ~ hskp21 ),
    clause198 ).

cnf(c_0_381,negated_conjecture,
    ( epred42_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_293]),c_0_154])]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ c3_1(a2221)
    | ~ hskp17 ),
    clause205 ).

cnf(c_0_383,negated_conjecture,
    ( c3_1(a2208)
    | ~ hskp43 ),
    clause100 ).

cnf(c_0_384,negated_conjecture,
    ( epred39_0
    | c0_1(X1)
    | hskp33
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_294]),c_0_154])]) ).

cnf(c_0_385,negated_conjecture,
    ( epred35_0
    | c2_1(X1)
    | hskp10
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_295]),c_0_154])]) ).

cnf(c_0_386,negated_conjecture,
    ( epred32_0
    | c2_1(X1)
    | hskp40
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_296]),c_0_154])]) ).

cnf(c_0_387,negated_conjecture,
    ( epred30_0
    | c2_1(X1)
    | hskp44
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_297]),c_0_154])]) ).

cnf(c_0_388,negated_conjecture,
    ( epred29_0
    | c0_1(X1)
    | hskp48
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_298]),c_0_154])]) ).

cnf(c_0_389,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp10
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_299]),c_0_154])]) ).

cnf(c_0_390,negated_conjecture,
    ( epred10_0
    | hskp33
    | ~ hskp38 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_227]),c_0_228]),c_0_229]) ).

cnf(c_0_391,negated_conjecture,
    ( epred8_0
    | hskp18
    | hskp38
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_392,negated_conjecture,
    ( hskp18
    | ~ hskp33 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_267]),c_0_303]),c_0_268]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ c0_1(a2189)
    | ~ hskp34 ),
    clause179 ).

cnf(c_0_394,negated_conjecture,
    ( epred40_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_260]),c_0_215]),c_0_213]) ).

cnf(c_0_395,negated_conjecture,
    ( epred22_0
    | hskp18
    | ~ hskp38 ),
    inference(spm,[status(thm)],[c_0_305,c_0_306]) ).

cnf(c_0_396,negated_conjecture,
    ( c3_1(a2196)
    | hskp17
    | ~ hskp37 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_249]),c_0_250]) ).

cnf(c_0_397,negated_conjecture,
    ( epred46_0
    | ~ hskp55 ),
    inference(spm,[status(thm)],[c_0_307,c_0_308]) ).

cnf(c_0_398,negated_conjecture,
    ( epred54_0
    | hskp0
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_399,negated_conjecture,
    ( epred36_0
    | hskp0
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_309,c_0_311]) ).

cnf(c_0_400,negated_conjecture,
    ( epred52_0
    | ~ c2_1(a2240)
    | ~ hskp54 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_237]),c_0_235]) ).

cnf(c_0_401,negated_conjecture,
    ( epred38_0
    | ~ c2_1(a2240)
    | ~ hskp54 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_234]),c_0_235]) ).

cnf(c_0_402,negated_conjecture,
    ( ~ epred7_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_313,c_0_208]),c_0_161]) ).

cnf(c_0_403,negated_conjecture,
    ( epred54_0
    | epred22_0
    | epred14_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_314,c_0_315]) ).

cnf(c_0_404,negated_conjecture,
    ( epred52_0
    | ~ c0_1(a2234)
    | ~ hskp52 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_316]),c_0_317]) ).

cnf(c_0_405,negated_conjecture,
    ( epred14_0
    | c0_1(a2234)
    | ~ hskp52 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_316]),c_0_317]) ).

cnf(c_0_406,negated_conjecture,
    ( epred52_0
    | ~ c0_1(a2204)
    | ~ hskp40 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_318]),c_0_319]) ).

cnf(c_0_407,negated_conjecture,
    ( epred43_0
    | c0_1(a2204)
    | ~ hskp40 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_244]),c_0_319]) ).

cnf(c_0_408,negated_conjecture,
    ( c3_1(a2189)
    | ~ hskp34 ),
    clause117 ).

cnf(c_0_409,negated_conjecture,
    ( epred43_0
    | ~ c2_1(a2233)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_244]),c_0_321]) ).

cnf(c_0_410,negated_conjecture,
    ( epred43_0
    | epred4_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_322,c_0_323]) ).

cnf(c_0_411,negated_conjecture,
    ( hskp34
    | hskp37
    | hskp6 ),
    clause62 ).

cnf(c_0_412,negated_conjecture,
    ( ~ c0_1(a2206)
    | ~ hskp10 ),
    clause219 ).

cnf(c_0_413,negated_conjecture,
    ( ~ c2_1(a2206)
    | ~ hskp10 ),
    clause218 ).

cnf(c_0_414,negated_conjecture,
    ( epred38_0
    | ~ hskp55 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_231]),c_0_232]),c_0_233]) ).

cnf(c_0_415,negated_conjecture,
    ( epred38_0
    | ~ c0_1(a2234)
    | ~ hskp52 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_324]),c_0_317]) ).

cnf(c_0_416,negated_conjecture,
    ( epred22_0
    | c0_1(a2234)
    | ~ hskp52 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_324]),c_0_316]) ).

cnf(c_0_417,negated_conjecture,
    ( epred34_0
    | ~ c3_1(a2241)
    | ~ hskp55 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_231]),c_0_233]) ).

cnf(c_0_418,negated_conjecture,
    ( epred3_0
    | hskp47
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_261]),c_0_326]),c_0_262]) ).

cnf(c_0_419,negated_conjecture,
    ( epred34_0
    | epred5_0
    | hskp1
    | ~ hskp37 ),
    inference(spm,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_420,negated_conjecture,
    ( epred22_0
    | ~ c3_1(a2205)
    | ~ hskp41 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_329]),c_0_330]) ).

cnf(c_0_421,negated_conjecture,
    ( epred5_0
    | c3_1(a2205)
    | hskp1
    | ~ hskp41 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_329]),c_0_330]) ).

cnf(c_0_422,negated_conjecture,
    ( epred26_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_331]) ).

cnf(c_0_423,negated_conjecture,
    ( c1_1(a2215)
    | ~ hskp44 ),
    clause99 ).

cnf(c_0_424,negated_conjecture,
    ( ~ c0_1(a2215)
    | ~ hskp44 ),
    clause167 ).

cnf(c_0_425,negated_conjecture,
    ( ~ c3_1(a2218)
    | ~ hskp46 ),
    clause166 ).

cnf(c_0_426,negated_conjecture,
    ( c0_1(a2218)
    | ~ hskp46 ),
    clause93 ).

cnf(c_0_427,negated_conjecture,
    ( c2_1(a2218)
    | ~ hskp46 ),
    clause94 ).

cnf(c_0_428,negated_conjecture,
    ( epred24_0
    | epred4_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_332,c_0_333]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ c3_1(a2212)
    | ~ hskp13 ),
    clause213 ).

cnf(c_0_430,negated_conjecture,
    ( c0_1(a2212)
    | ~ hskp13 ),
    clause145 ).

cnf(c_0_431,negated_conjecture,
    ( c2_1(a2212)
    | ~ hskp13 ),
    clause146 ).

cnf(c_0_432,negated_conjecture,
    ( ~ c3_1(a2198)
    | ~ hskp7 ),
    clause226 ).

cnf(c_0_433,negated_conjecture,
    ( c0_1(a2198)
    | ~ hskp7 ),
    clause151 ).

cnf(c_0_434,negated_conjecture,
    ( c2_1(a2198)
    | ~ hskp7 ),
    clause150 ).

cnf(c_0_435,negated_conjecture,
    ( ~ c0_1(a2239)
    | ~ hskp21 ),
    clause197 ).

cnf(c_0_436,negated_conjecture,
    ( ~ c0_1(a2221)
    | ~ hskp17 ),
    clause204 ).

cnf(c_0_437,negated_conjecture,
    ( c3_1(a2228)
    | ~ hskp48 ),
    clause89 ).

cnf(c_0_438,negated_conjecture,
    ( c2_1(a2228)
    | ~ hskp48 ),
    clause90 ).

cnf(c_0_439,negated_conjecture,
    ( ~ c0_1(a2228)
    | ~ hskp48 ),
    clause164 ).

cnf(c_0_440,negated_conjecture,
    ( epred6_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_281]),c_0_245]),c_0_246]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ c1_1(a2220)
    | ~ hskp16 ),
    clause207 ).

cnf(c_0_442,negated_conjecture,
    ( ~ c3_1(a2220)
    | ~ hskp16 ),
    clause208 ).

cnf(c_0_443,negated_conjecture,
    ( ~ c2_1(a2220)
    | ~ hskp16 ),
    clause206 ).

cnf(c_0_444,negated_conjecture,
    ( epred50_0
    | epred46_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_334,c_0_230]) ).

cnf(c_0_445,negated_conjecture,
    ( c0_1(a2186)
    | ~ hskp32 ),
    clause119 ).

cnf(c_0_446,negated_conjecture,
    ( ~ c3_1(a2178)
    | ~ hskp26 ),
    clause190 ).

cnf(c_0_447,negated_conjecture,
    ( c0_1(a2178)
    | ~ hskp26 ),
    clause129 ).

cnf(c_0_448,negated_conjecture,
    ( epred52_0
    | epred48_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_275,c_0_335]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ c2_1(a2186)
    | ~ hskp32 ),
    clause183 ).

cnf(c_0_450,negated_conjecture,
    ( epred55_0
    | epred46_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_265,c_0_230]) ).

cnf(c_0_451,negated_conjecture,
    ( epred34_0
    | epred28_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_336]) ).

fof(c_0_452,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( hskp13
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_453,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X3) ),
    clause296 ).

cnf(c_0_454,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X3) ),
    clause292 ).

cnf(c_0_455,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c0_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    clause293 ).

cnf(c_0_456,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | c2_1(X3)
    | c0_1(X3)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    clause295 ).

cnf(c_0_457,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X3) ),
    clause294 ).

cnf(c_0_458,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X3) ),
    clause288 ).

cnf(c_0_459,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X3) ),
    clause291 ).

cnf(c_0_460,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    clause287 ).

cnf(c_0_461,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X3) ),
    clause289 ).

cnf(c_0_462,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause286 ).

cnf(c_0_463,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    clause285 ).

cnf(c_0_464,negated_conjecture,
    ( c0_1(X1)
    | hskp33
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    clause284 ).

cnf(c_0_465,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | hskp10
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2) ),
    clause281 ).

cnf(c_0_466,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | hskp40
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    clause282 ).

cnf(c_0_467,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | hskp44
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    clause278 ).

cnf(c_0_468,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | hskp48
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause279 ).

cnf(c_0_469,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp4
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    clause274 ).

cnf(c_0_470,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | hskp10
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    clause275 ).

cnf(c_0_471,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp26
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause272 ).

cnf(c_0_472,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause268 ).

cnf(c_0_473,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp32
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause270 ).

cnf(c_0_474,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp33
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause269 ).

cnf(c_0_475,negated_conjecture,
    ( c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | hskp38
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    clause266 ).

cnf(c_0_476,negated_conjecture,
    ( c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    clause263 ).

cnf(c_0_477,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | hskp47
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    clause264 ).

cnf(c_0_478,negated_conjecture,
    ( epred31_0
    | epred25_0
    | epred4_0
    | c2_1(a2188)
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_303,c_0_337]) ).

cnf(c_0_479,negated_conjecture,
    ( epred25_0
    | epred12_0
    | epred4_0
    | c2_1(a2188)
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_303,c_0_338]) ).

cnf(c_0_480,negated_conjecture,
    ( epred54_0
    | c2_1(a2222)
    | hskp58
    | ~ c0_1(a2222)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_177,c_0_339]) ).

cnf(c_0_481,negated_conjecture,
    ( epred50_0
    | c2_1(a2182)
    | c0_1(a2182)
    | hskp58
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_334,c_0_340]) ).

cnf(c_0_482,negated_conjecture,
    ( epred22_0
    | c0_1(a2182)
    | hskp58
    | ~ c3_1(a2182)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_189,c_0_340]) ).

cnf(c_0_483,negated_conjecture,
    ( epred2_0
    | c3_1(a2207)
    | hskp17
    | hskp18
    | ~ c0_1(a2207)
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_341,c_0_225]) ).

cnf(c_0_484,negated_conjecture,
    ( epred52_0
    | hskp17
    | ~ c2_1(a2241)
    | ~ c0_1(a2241)
    | ~ hskp55 ),
    inference(spm,[status(thm)],[c_0_275,c_0_342]) ).

cnf(c_0_485,negated_conjecture,
    ( epred56_0
    | epred25_0
    | epred4_0
    | c2_1(a2188)
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_303,c_0_343]) ).

cnf(c_0_486,negated_conjecture,
    ( epred55_0
    | epred4_0
    | c2_1(a2188)
    | c0_1(a2188)
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_303,c_0_344]) ).

cnf(c_0_487,negated_conjecture,
    ( epred55_0
    | epred4_0
    | c2_1(a2206)
    | c0_1(a2206)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_345,c_0_344]) ).

cnf(c_0_488,negated_conjecture,
    ( c2_1(a2188)
    | c3_1(a2188)
    | hskp7
    | hskp37
    | epred55_0
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_346,c_0_347]) ).

cnf(c_0_489,negated_conjecture,
    ( epred54_0
    | epred4_0
    | c2_1(a2188)
    | ~ hskp33
    | ~ c0_1(a2188) ),
    inference(spm,[status(thm)],[c_0_303,c_0_348]) ).

cnf(c_0_490,negated_conjecture,
    ( epred54_0
    | c2_1(a2222)
    | epred7_0
    | hskp40
    | ~ c0_1(a2222)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_177,c_0_349]) ).

cnf(c_0_491,negated_conjecture,
    ( epred53_0
    | c2_1(a2182)
    | epred7_0
    | hskp40
    | ~ c3_1(a2182)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_492,negated_conjecture,
    ( epred34_0
    | epred18_0
    | c0_1(a2196)
    | ~ hskp37
    | ~ c2_1(a2196) ),
    inference(spm,[status(thm)],[c_0_327,c_0_352]) ).

cnf(c_0_493,negated_conjecture,
    ( epred5_0
    | epred4_0
    | c2_1(a2206)
    | c0_1(a2206)
    | hskp1
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_345,c_0_353]) ).

cnf(c_0_494,negated_conjecture,
    ( epred51_0
    | c2_1(a2200)
    | c0_1(a2200)
    | epred5_0
    | hskp1
    | ~ hskp38 ),
    inference(spm,[status(thm)],[c_0_354,c_0_355]) ).

cnf(c_0_495,negated_conjecture,
    ( epred45_0
    | epred12_0
    | epred4_0
    | c2_1(a2181)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_220,c_0_356]) ).

cnf(c_0_496,negated_conjecture,
    ( epred52_0
    | epred9_0
    | ~ c2_1(a2241)
    | ~ c0_1(a2241)
    | ~ hskp55 ),
    inference(spm,[status(thm)],[c_0_275,c_0_357]) ).

cnf(c_0_497,negated_conjecture,
    ( epred52_0
    | epred49_0
    | epred2_0
    | ~ c0_1(a2241)
    | ~ hskp55 ),
    inference(spm,[status(thm)],[c_0_358,c_0_233]) ).

cnf(c_0_498,negated_conjecture,
    ( epred52_0
    | epred49_0
    | epred2_0
    | ~ c0_1(a2234)
    | ~ hskp52 ),
    inference(spm,[status(thm)],[c_0_358,c_0_317]) ).

cnf(c_0_499,negated_conjecture,
    ( epred52_0
    | epred49_0
    | epred2_0
    | ~ c0_1(a2226)
    | ~ hskp47 ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_500,negated_conjecture,
    ( epred52_0
    | epred49_0
    | epred2_0
    | ~ c0_1(a2178)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_358,c_0_360]) ).

cnf(c_0_501,negated_conjecture,
    ( epred54_0
    | epred12_0
    | epred4_0
    | c2_1(a2188)
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_303,c_0_361]) ).

cnf(c_0_502,negated_conjecture,
    ( epred25_0
    | epred4_0
    | c2_1(a2188)
    | hskp4
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_303,c_0_258]) ).

cnf(c_0_503,negated_conjecture,
    ( epred41_0
    | epred22_0
    | epred16_0
    | c0_1(a2191)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_171,c_0_362]) ).

cnf(c_0_504,negated_conjecture,
    ( epred51_0
    | c2_1(a2181)
    | c0_1(a2181)
    | epred6_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_354,c_0_363]) ).

cnf(c_0_505,negated_conjecture,
    ( c1_1(a2252)
    | hskp34
    | hskp46
    | epred4_0
    | ~ c0_1(a2252)
    | ~ hskp58 ),
    inference(spm,[status(thm)],[c_0_364,c_0_167]) ).

cnf(c_0_506,negated_conjecture,
    ( epred11_0
    | c2_1(a2252)
    | c1_1(a2252)
    | hskp32
    | epred4_0
    | ~ hskp58 ),
    inference(spm,[status(thm)],[c_0_365,c_0_167]) ).

cnf(c_0_507,negated_conjecture,
    ( epred21_0
    | c1_1(a2233)
    | c0_1(a2233)
    | hskp26
    | epred4_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_366,c_0_367]) ).

cnf(c_0_508,negated_conjecture,
    ( c1_1(a2197)
    | c0_1(a2197)
    | hskp16
    | hskp17
    | epred4_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_368,c_0_323]) ).

cnf(c_0_509,negated_conjecture,
    ( epred21_0
    | c1_1(a2197)
    | c0_1(a2197)
    | hskp26
    | epred4_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_366,c_0_323]) ).

cnf(c_0_510,negated_conjecture,
    ( epred11_0
    | c2_1(a2181)
    | c1_1(a2181)
    | hskp32
    | epred4_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_365,c_0_369]) ).

cnf(c_0_511,negated_conjecture,
    ( c3_1(a2197)
    | c0_1(a2197)
    | hskp42
    | hskp43
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_243,c_0_370]) ).

cnf(c_0_512,negated_conjecture,
    ( c3_1(a2215)
    | c0_1(a2215)
    | hskp19
    | hskp52
    | ~ hskp44 ),
    inference(spm,[status(thm)],[c_0_371,c_0_372]) ).

cnf(c_0_513,negated_conjecture,
    ( c3_1(a2196)
    | c0_1(a2196)
    | hskp19
    | hskp52
    | ~ hskp37 ),
    inference(spm,[status(thm)],[c_0_371,c_0_250]) ).

cnf(c_0_514,negated_conjecture,
    ( c3_1(a2239)
    | c0_1(a2239)
    | hskp19
    | hskp52
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_371,c_0_373]) ).

cnf(c_0_515,negated_conjecture,
    ( c3_1(a2221)
    | c0_1(a2221)
    | hskp19
    | hskp52
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_371,c_0_374]) ).

cnf(c_0_516,negated_conjecture,
    ( c3_1(a2239)
    | c0_1(a2239)
    | hskp10
    | hskp41
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_375,c_0_373]) ).

cnf(c_0_517,negated_conjecture,
    ( c3_1(a2221)
    | c0_1(a2221)
    | hskp10
    | hskp41
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_375,c_0_374]) ).

cnf(c_0_518,negated_conjecture,
    ( c1_1(a2191)
    | hskp34
    | hskp46
    | ~ c0_1(a2191)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_364,c_0_169]) ).

cnf(c_0_519,negated_conjecture,
    ( c1_1(a2226)
    | hskp33
    | hskp34
    | ~ c0_1(a2226)
    | ~ hskp47 ),
    inference(spm,[status(thm)],[c_0_376,c_0_359]) ).

cnf(c_0_520,negated_conjecture,
    ( epred53_0
    | c2_1(a2240)
    | ~ c3_1(a2240)
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_350,c_0_234]) ).

cnf(c_0_521,negated_conjecture,
    ( epred53_0
    | c2_1(a2189)
    | ~ c3_1(a2189)
    | ~ hskp34 ),
    inference(spm,[status(thm)],[c_0_350,c_0_377]) ).

cnf(c_0_522,negated_conjecture,
    ( epred53_0
    | c2_1(a2185)
    | ~ c3_1(a2185)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_350,c_0_187]) ).

cnf(c_0_523,negated_conjecture,
    ( epred50_0
    | c2_1(a2200)
    | c0_1(a2200)
    | ~ hskp38 ),
    inference(spm,[status(thm)],[c_0_334,c_0_227]) ).

cnf(c_0_524,negated_conjecture,
    ( epred50_0
    | c2_1(a2189)
    | c0_1(a2189)
    | ~ hskp34 ),
    inference(spm,[status(thm)],[c_0_334,c_0_377]) ).

cnf(c_0_525,negated_conjecture,
    ( epred49_0
    | c3_1(a2241)
    | ~ c0_1(a2241)
    | ~ hskp55 ),
    inference(spm,[status(thm)],[c_0_212,c_0_231]) ).

cnf(c_0_526,negated_conjecture,
    ( epred49_0
    | c3_1(a2207)
    | ~ c0_1(a2207)
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_212,c_0_181]) ).

cnf(c_0_527,negated_conjecture,
    ( epred49_0
    | c3_1(a2188)
    | ~ c0_1(a2188)
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_212,c_0_267]) ).

cnf(c_0_528,negated_conjecture,
    ( epred47_0
    | c2_1(a2188)
    | ~ hskp33
    | ~ c0_1(a2188) ),
    inference(spm,[status(thm)],[c_0_303,c_0_378]) ).

cnf(c_0_529,negated_conjecture,
    ( epred47_0
    | c2_1(a2186)
    | ~ hskp32
    | ~ c0_1(a2186) ),
    inference(spm,[status(thm)],[c_0_379,c_0_378]) ).

cnf(c_0_530,negated_conjecture,
    ( epred45_0
    | c2_1(a2200)
    | c3_1(a2200)
    | ~ hskp38 ),
    inference(spm,[status(thm)],[c_0_175,c_0_227]) ).

cnf(c_0_531,negated_conjecture,
    ( epred45_0
    | c2_1(a2188)
    | c3_1(a2188)
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_175,c_0_267]) ).

cnf(c_0_532,negated_conjecture,
    ( epred42_0
    | c0_1(a2239)
    | ~ hskp21
    | ~ c2_1(a2239) ),
    inference(spm,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_533,negated_conjecture,
    ( epred42_0
    | c0_1(a2221)
    | ~ hskp17
    | ~ c2_1(a2221) ),
    inference(spm,[status(thm)],[c_0_382,c_0_381]) ).

cnf(c_0_534,negated_conjecture,
    ( epred40_0
    | c2_1(a2240)
    | ~ c0_1(a2240)
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_304,c_0_237]) ).

cnf(c_0_535,negated_conjecture,
    ( epred40_0
    | c2_1(a2208)
    | ~ c0_1(a2208)
    | ~ hskp43 ),
    inference(spm,[status(thm)],[c_0_304,c_0_383]) ).

cnf(c_0_536,negated_conjecture,
    ( epred39_0
    | c0_1(a2234)
    | hskp33
    | ~ c2_1(a2234)
    | ~ hskp52 ),
    inference(spm,[status(thm)],[c_0_384,c_0_324]) ).

cnf(c_0_537,negated_conjecture,
    ( epred39_0
    | c0_1(a2196)
    | hskp33
    | ~ c2_1(a2196)
    | ~ hskp37 ),
    inference(spm,[status(thm)],[c_0_384,c_0_249]) ).

cnf(c_0_538,negated_conjecture,
    ( epred39_0
    | c0_1(a2189)
    | hskp33
    | ~ c2_1(a2189)
    | ~ hskp34 ),
    inference(spm,[status(thm)],[c_0_384,c_0_377]) ).

cnf(c_0_539,negated_conjecture,
    ( epred35_0
    | c2_1(a2240)
    | hskp10
    | ~ c0_1(a2240)
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_385,c_0_237]) ).

cnf(c_0_540,negated_conjecture,
    ( epred35_0
    | c2_1(a2222)
    | hskp10
    | ~ c0_1(a2222)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_385,c_0_260]) ).

cnf(c_0_541,negated_conjecture,
    ( epred32_0
    | c2_1(a2222)
    | hskp40
    | ~ c0_1(a2222)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_386,c_0_260]) ).

cnf(c_0_542,negated_conjecture,
    ( epred30_0
    | c2_1(a2222)
    | hskp44
    | ~ c0_1(a2222)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_387,c_0_260]) ).

cnf(c_0_543,negated_conjecture,
    ( epred29_0
    | c0_1(a2196)
    | hskp48
    | ~ c2_1(a2196)
    | ~ hskp37 ),
    inference(spm,[status(thm)],[c_0_388,c_0_249]) ).

cnf(c_0_544,negated_conjecture,
    ( epred25_0
    | c2_1(a2188)
    | c3_1(a2188)
    | hskp4
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_203,c_0_267]) ).

cnf(c_0_545,negated_conjecture,
    ( epred23_0
    | c2_1(a2191)
    | c1_1(a2191)
    | hskp10
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_389,c_0_169]) ).

cnf(c_0_546,negated_conjecture,
    ( epred10_0
    | epred8_0
    | hskp18
    | ~ hskp42 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_392]) ).

cnf(c_0_547,negated_conjecture,
    ( epred10_0
    | c2_1(a2189)
    | hskp33
    | ~ hskp34 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_377]),c_0_393]) ).

cnf(c_0_548,negated_conjecture,
    ( epred40_0
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_394,c_0_392]) ).

cnf(c_0_549,negated_conjecture,
    ( epred22_0
    | epred8_0
    | hskp18
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_395,c_0_391]) ).

cnf(c_0_550,negated_conjecture,
    ( epred34_0
    | hskp17
    | ~ hskp37 ),
    inference(spm,[status(thm)],[c_0_327,c_0_396]) ).

cnf(c_0_551,negated_conjecture,
    ( epred46_0
    | hskp21
    | hskp54 ),
    inference(spm,[status(thm)],[c_0_397,c_0_144]) ).

cnf(c_0_552,negated_conjecture,
    ( epred54_0
    | epred46_0
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_307,c_0_398]) ).

cnf(c_0_553,negated_conjecture,
    ( epred46_0
    | epred36_0
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_307,c_0_399]) ).

cnf(c_0_554,negated_conjecture,
    ( epred55_0
    | c2_1(a2189)
    | ~ hskp34 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_377]),c_0_393]) ).

cnf(c_0_555,negated_conjecture,
    ( epred54_0
    | epred52_0
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_400,c_0_310]) ).

cnf(c_0_556,negated_conjecture,
    ( epred54_0
    | epred38_0
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_401,c_0_310]) ).

cnf(c_0_557,negated_conjecture,
    ( epred54_0
    | epred22_0
    | epred14_0
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_402,c_0_403]) ).

cnf(c_0_558,negated_conjecture,
    ( epred52_0
    | epred36_0
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_400,c_0_311]) ).

cnf(c_0_559,negated_conjecture,
    ( epred52_0
    | epred14_0
    | ~ hskp52 ),
    inference(spm,[status(thm)],[c_0_404,c_0_405]) ).

cnf(c_0_560,negated_conjecture,
    ( epred52_0
    | epred43_0
    | ~ hskp40 ),
    inference(spm,[status(thm)],[c_0_406,c_0_407]) ).

cnf(c_0_561,negated_conjecture,
    ( epred51_0
    | c2_1(a2189)
    | ~ hskp34 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_408]),c_0_393]) ).

cnf(c_0_562,negated_conjecture,
    ( epred51_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_261]),c_0_326]),c_0_262]) ).

cnf(c_0_563,negated_conjecture,
    ( epred43_0
    | epred4_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_409,c_0_367]) ).

cnf(c_0_564,negated_conjecture,
    ( epred43_0
    | epred4_0
    | hskp34
    | hskp37 ),
    inference(spm,[status(thm)],[c_0_410,c_0_411]) ).

cnf(c_0_565,negated_conjecture,
    ( epred41_0
    | c0_1(a2188)
    | ~ hskp33 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_280]),c_0_268]) ).

cnf(c_0_566,negated_conjecture,
    ( epred41_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_280]),c_0_412]),c_0_413]) ).

cnf(c_0_567,negated_conjecture,
    ( epred38_0
    | hskp21
    | hskp54 ),
    inference(spm,[status(thm)],[c_0_414,c_0_144]) ).

cnf(c_0_568,negated_conjecture,
    ( epred38_0
    | epred36_0
    | ~ hskp54 ),
    inference(spm,[status(thm)],[c_0_401,c_0_311]) ).

cnf(c_0_569,negated_conjecture,
    ( epred38_0
    | epred22_0
    | ~ hskp52 ),
    inference(spm,[status(thm)],[c_0_415,c_0_416]) ).

cnf(c_0_570,negated_conjecture,
    ( epred34_0
    | epred9_0
    | ~ hskp55 ),
    inference(spm,[status(thm)],[c_0_417,c_0_357]) ).

cnf(c_0_571,negated_conjecture,
    ( epred34_0
    | ~ c2_1(a2240)
    | ~ hskp54 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_234]),c_0_237]) ).

cnf(c_0_572,negated_conjecture,
    ( epred34_0
    | ~ hskp52 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_324]),c_0_316]),c_0_317]) ).

cnf(c_0_573,negated_conjecture,
    ( epred34_0
    | epred5_0
    | epred3_0
    | hskp47
    | ~ hskp37 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_574,negated_conjecture,
    ( epred34_0
    | ~ c2_1(a2189)
    | ~ hskp34 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_377]),c_0_408]) ).

cnf(c_0_575,negated_conjecture,
    ( epred22_0
    | epred5_0
    | hskp1
    | ~ hskp41 ),
    inference(spm,[status(thm)],[c_0_420,c_0_421]) ).

cnf(c_0_576,negated_conjecture,
    ( epred5_0
    | c0_1(a2188)
    | hskp1
    | ~ hskp33 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_267]),c_0_303]) ).

cnf(c_0_577,negated_conjecture,
    ( epred28_0
    | ~ hskp40 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_336]),c_0_318]),c_0_319]) ).

cnf(c_0_578,negated_conjecture,
    ( epred26_0
    | ~ hskp44 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_372]),c_0_424]) ).

cnf(c_0_579,negated_conjecture,
    ( epred26_0
    | ~ hskp37 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_249]),c_0_250]),c_0_252]) ).

cnf(c_0_580,negated_conjecture,
    ( epred24_0
    | ~ hskp46 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_253]),c_0_426]),c_0_427]) ).

cnf(c_0_581,negated_conjecture,
    ( epred24_0
    | epred14_0
    | epred4_0
    | hskp31 ),
    inference(spm,[status(thm)],[c_0_428,c_0_242]) ).

cnf(c_0_582,negated_conjecture,
    ( epred24_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_253]),c_0_430]),c_0_431]) ).

cnf(c_0_583,negated_conjecture,
    ( epred24_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_253]),c_0_433]),c_0_434]) ).

cnf(c_0_584,negated_conjecture,
    ( epred22_0
    | ~ c3_1(a2215)
    | ~ hskp44 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_423]),c_0_424]) ).

cnf(c_0_585,negated_conjecture,
    ( epred22_0
    | ~ hskp34 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_377]),c_0_408]),c_0_393]) ).

cnf(c_0_586,negated_conjecture,
    ( epred18_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_352]),c_0_373]),c_0_435]) ).

cnf(c_0_587,negated_conjecture,
    ( epred18_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_352]),c_0_374]),c_0_436]) ).

cnf(c_0_588,negated_conjecture,
    ( epred14_0
    | ~ hskp48 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_437]),c_0_438]),c_0_439]) ).

cnf(c_0_589,negated_conjecture,
    ( epred14_0
    | ~ c2_1(a2189)
    | ~ hskp34 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_408]),c_0_393]) ).

cnf(c_0_590,negated_conjecture,
    ( epred3_0
    | c2_1(a2189)
    | hskp47
    | ~ hskp34 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_408]),c_0_393]) ).

cnf(c_0_591,negated_conjecture,
    ( epred9_0
    | ~ hskp42 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_181]),c_0_182]),c_0_184]) ).

cnf(c_0_592,negated_conjecture,
    ( epred6_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_281]),c_0_321]),c_0_286]) ).

cnf(c_0_593,negated_conjecture,
    ( epred6_0
    | hskp34
    | hskp37 ),
    inference(spm,[status(thm)],[c_0_440,c_0_411]) ).

cnf(c_0_594,negated_conjecture,
    ( epred4_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_151]),c_0_442]),c_0_443]) ).

cnf(c_0_595,negated_conjecture,
    ( epred50_0
    | epred46_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_444]),c_0_326]) ).

cnf(c_0_596,negated_conjecture,
    ( epred49_0
    | epred2_0
    | ~ hskp32 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_276]),c_0_445]) ).

cnf(c_0_597,negated_conjecture,
    ( epred49_0
    | epred2_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_276]),c_0_447]) ).

cnf(c_0_598,negated_conjecture,
    ( epred52_0
    | epred48_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_360]),c_0_447]) ).

cnf(c_0_599,negated_conjecture,
    ( epred45_0
    | epred4_0
    | ~ hskp32 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_209]),c_0_449]) ).

cnf(c_0_600,negated_conjecture,
    ( epred55_0
    | epred46_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_450]),c_0_412]) ).

cnf(c_0_601,negated_conjecture,
    ( epred34_0
    | epred28_0
    | ~ hskp48 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_437]),c_0_438]) ).

cnf(c_0_602,negated_conjecture,
    ( epred15_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp13
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_452]),c_0_154])]) ).

cnf(c_0_603,negated_conjecture,
    ( ~ epred52_0
    | ~ epred42_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_453,c_0_293]),c_0_160]),c_0_211]) ).

cnf(c_0_604,negated_conjecture,
    ( ~ epred56_0
    | ~ epred47_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_454,c_0_292]),c_0_174]),c_0_238]) ).

cnf(c_0_605,negated_conjecture,
    ( ~ epred55_0
    | ~ epred54_0
    | ~ epred53_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_455,c_0_270]),c_0_157]),c_0_207]) ).

cnf(c_0_606,negated_conjecture,
    ( ~ epred52_0
    | ~ epred51_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_456,c_0_254]),c_0_272]),c_0_211]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ epred49_0
    | ~ epred22_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_457,c_0_176]),c_0_271]),c_0_160]) ).

cnf(c_0_608,negated_conjecture,
    ( ~ epred48_0
    | ~ epred43_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_458,c_0_255]),c_0_161]),c_0_197]) ).

cnf(c_0_609,negated_conjecture,
    ( ~ epred47_0
    | ~ epred43_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_459,c_0_292]),c_0_200]),c_0_197]) ).

cnf(c_0_610,negated_conjecture,
    ( ~ epred46_0
    | ~ epred45_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_460,c_0_156]),c_0_185]),c_0_238]) ).

cnf(c_0_611,negated_conjecture,
    ( ~ epred43_0
    | ~ epred42_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_461,c_0_293]),c_0_256]),c_0_197]) ).

cnf(c_0_612,negated_conjecture,
    ( ~ epred40_0
    | ~ epred6_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_462,c_0_226]),c_0_142]),c_0_218]) ).

cnf(c_0_613,negated_conjecture,
    ( ~ epred41_0
    | ~ epred40_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_463,c_0_226]),c_0_142]),c_0_217]) ).

cnf(c_0_614,negated_conjecture,
    ( ~ epred39_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_464,c_0_294]),c_0_198]) ).

cnf(c_0_615,negated_conjecture,
    ( ~ epred36_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_465,c_0_295]),c_0_186]) ).

cnf(c_0_616,negated_conjecture,
    ( ~ epred32_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_466,c_0_296]),c_0_147]) ).

cnf(c_0_617,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_467,c_0_297]),c_0_141]) ).

cnf(c_0_618,negated_conjecture,
    ( ~ epred29_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_468,c_0_298]),c_0_160]) ).

cnf(c_0_619,negated_conjecture,
    ( ~ epred26_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_469,c_0_172]),c_0_331]) ).

cnf(c_0_620,negated_conjecture,
    ( ~ epred24_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_470,c_0_299]),c_0_200]) ).

cnf(c_0_621,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_471,c_0_284]),c_0_160]) ).

cnf(c_0_622,negated_conjecture,
    ( ~ epred16_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_472,c_0_452]),c_0_178]) ).

cnf(c_0_623,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_473,c_0_283]),c_0_155]) ).

cnf(c_0_624,negated_conjecture,
    ( ~ epred10_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_474,c_0_219]),c_0_161]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ epred9_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_475,c_0_179]),c_0_210]) ).

cnf(c_0_626,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_476,c_0_199]),c_0_218]) ).

cnf(c_0_627,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_477,c_0_247]),c_0_142]) ).

cnf(c_0_628,negated_conjecture,
    ( ~ c2_1(a2208)
    | ~ hskp43 ),
    clause168 ).

cnf(c_0_629,negated_conjecture,
    ( ~ c1_1(a2226)
    | ~ hskp47 ),
    clause165 ).

cnf(c_0_630,negated_conjecture,
    ( c0_1(a2208)
    | ~ hskp43 ),
    clause101 ).

cnf(c_0_631,negated_conjecture,
    ( c0_1(a2226)
    | ~ hskp47 ),
    clause92 ).

cnf(c_0_632,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_478,c_0_479,c_0_480,c_0_481,c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,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_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_528,c_0_529,c_0_530,c_0_531,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_542,c_0_543,c_0_544,c_0_545,c_0_546,c_0_390,c_0_547,c_0_548,c_0_394,c_0_202,c_0_549,c_0_301,c_0_392,c_0_550,c_0_551,c_0_308,c_0_552,c_0_553,c_0_309,c_0_554,c_0_347,c_0_555,c_0_556,c_0_557,c_0_558,c_0_400,c_0_559,c_0_560,c_0_561,c_0_562,c_0_307,c_0_563,c_0_564,c_0_565,c_0_566,c_0_567,c_0_568,c_0_401,c_0_569,c_0_570,c_0_417,c_0_571,c_0_572,c_0_573,c_0_419,c_0_327,c_0_574,c_0_201,c_0_575,c_0_328,c_0_576,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_305,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_315,c_0_590,c_0_204,c_0_591,c_0_592,c_0_593,c_0_167,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_364,c_0_600,c_0_386,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_614,c_0_615,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_622,c_0_623,c_0_624,c_0_625,c_0_402,c_0_626,c_0_627,c_0_223,c_0_220,c_0_222,c_0_262,c_0_326,c_0_171,c_0_170,c_0_246,c_0_243,c_0_245,c_0_413,c_0_412,c_0_382,c_0_436,c_0_213,c_0_285,c_0_321,c_0_380,c_0_435,c_0_188,c_0_449,c_0_268,c_0_303,c_0_393,c_0_252,c_0_229,c_0_228,c_0_184,c_0_628,c_0_424,c_0_629,c_0_152,c_0_148,c_0_374,c_0_373,c_0_250,c_0_317,c_0_233,c_0_261,c_0_190,c_0_408,c_0_237,c_0_215,c_0_447,c_0_445,c_0_182,c_0_630,c_0_631,c_0_235,c_0_232,c_0_150,c_0_411,c_0_144]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN460-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n003.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 18:47:33 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.PXDdamRUSd/E---3.1_1308.p
% 13.18/2.08  # Version: 3.1pre001
% 13.18/2.08  # Preprocessing class: FSLMSLSMSSSNFFN.
% 13.18/2.08  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.18/2.08  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 13.18/2.08  # Starting new_bool_3 with 600s (2) cores
% 13.18/2.08  # Starting new_bool_1 with 600s (2) cores
% 13.18/2.08  # Starting sh5l with 300s (1) cores
% 13.18/2.08  # sh5l with pid 1389 completed with status 0
% 13.18/2.08  # Result found by sh5l
% 13.18/2.08  # Preprocessing class: FSLMSLSMSSSNFFN.
% 13.18/2.08  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.18/2.08  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 13.18/2.08  # Starting new_bool_3 with 600s (2) cores
% 13.18/2.08  # Starting new_bool_1 with 600s (2) cores
% 13.18/2.08  # Starting sh5l with 300s (1) cores
% 13.18/2.08  # SinE strategy is gf500_gu_R04_F100_L20000
% 13.18/2.08  # Search class: FGHNF-FSMS00-SFFFFFNN
% 13.18/2.08  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 13.18/2.08  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 181s (1) cores
% 13.18/2.08  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1397 completed with status 0
% 13.18/2.08  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 13.18/2.08  # Preprocessing class: FSLMSLSMSSSNFFN.
% 13.18/2.08  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.18/2.08  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 13.18/2.08  # Starting new_bool_3 with 600s (2) cores
% 13.18/2.08  # Starting new_bool_1 with 600s (2) cores
% 13.18/2.08  # Starting sh5l with 300s (1) cores
% 13.18/2.08  # SinE strategy is gf500_gu_R04_F100_L20000
% 13.18/2.08  # Search class: FGHNF-FSMS00-SFFFFFNN
% 13.18/2.08  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 13.18/2.08  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 181s (1) cores
% 13.18/2.08  # Preprocessing time       : 0.002 s
% 13.18/2.08  # SatCheck found unsatisfiable ground set
% 13.18/2.08  
% 13.18/2.08  # Proof found!
% 13.18/2.08  # SZS status Unsatisfiable
% 13.18/2.08  # SZS output start CNFRefutation
% See solution above
% 13.18/2.08  # Parsed axioms                        : 296
% 13.18/2.08  # Removed by relevancy pruning/SinE    : 0
% 13.18/2.08  # Initial clauses                      : 296
% 13.18/2.08  # Removed in clause preprocessing      : 0
% 13.18/2.08  # Initial clauses in saturation        : 296
% 13.18/2.08  # Processed clauses                    : 7371
% 13.18/2.08  # ...of these trivial                  : 0
% 13.18/2.08  # ...subsumed                          : 2371
% 13.18/2.08  # ...remaining for further processing  : 5000
% 13.18/2.08  # Other redundant clauses eliminated   : 0
% 13.18/2.08  # Clauses deleted for lack of memory   : 0
% 13.18/2.08  # Backward-subsumed                    : 1423
% 13.18/2.08  # Backward-rewritten                   : 80
% 13.18/2.08  # Generated clauses                    : 54469
% 13.18/2.08  # ...of the previous two non-redundant : 50301
% 13.18/2.08  # ...aggressively subsumed             : 0
% 13.18/2.08  # Contextual simplify-reflections      : 691
% 13.18/2.08  # Paramodulations                      : 54379
% 13.18/2.08  # Factorizations                       : 0
% 13.18/2.08  # NegExts                              : 0
% 13.18/2.08  # Equation resolutions                 : 0
% 13.18/2.08  # Total rewrite steps                  : 111
% 13.18/2.08  # Propositional unsat checks           : 1
% 13.18/2.08  #    Propositional check models        : 0
% 13.18/2.08  #    Propositional check unsatisfiable : 1
% 13.18/2.08  #    Propositional clauses             : 46505
% 13.18/2.08  #    Propositional clauses after purity: 45508
% 13.18/2.08  #    Propositional unsat core size     : 226
% 13.18/2.08  #    Propositional preprocessing time  : 0.000
% 13.18/2.08  #    Propositional encoding time       : 0.021
% 13.18/2.08  #    Propositional solver time         : 0.056
% 13.18/2.08  #    Success case prop preproc time    : 0.000
% 13.18/2.08  #    Success case prop encoding time   : 0.021
% 13.18/2.08  #    Success case prop solver time     : 0.056
% 13.18/2.08  # Current number of processed clauses  : 3463
% 13.18/2.08  #    Positive orientable unit clauses  : 1
% 13.18/2.08  #    Positive unorientable unit clauses: 0
% 13.18/2.08  #    Negative unit clauses             : 0
% 13.18/2.08  #    Non-unit-clauses                  : 3462
% 13.18/2.08  # Current number of unprocessed clauses: 43042
% 13.18/2.08  # ...number of literals in the above   : 279324
% 13.18/2.08  # Current number of archived formulas  : 0
% 13.18/2.08  # Current number of archived clauses   : 1503
% 13.18/2.08  # Clause-clause subsumption calls (NU) : 6156381
% 13.18/2.08  # Rec. Clause-clause subsumption calls : 576608
% 13.18/2.08  # Non-unit clause-clause subsumptions  : 4533
% 13.18/2.08  # Unit Clause-clause subsumption calls : 7
% 13.18/2.08  # Rewrite failures with RHS unbound    : 0
% 13.18/2.08  # BW rewrite match attempts            : 1
% 13.18/2.08  # BW rewrite match successes           : 1
% 13.18/2.08  # Condensation attempts                : 7371
% 13.18/2.08  # Condensation successes               : 0
% 13.18/2.08  # Termbank termtop insertions          : 526994
% 13.18/2.08  
% 13.18/2.08  # -------------------------------------------------
% 13.18/2.08  # User time                : 1.570 s
% 13.18/2.08  # System time              : 0.036 s
% 13.18/2.08  # Total time               : 1.605 s
% 13.18/2.08  # Maximum resident set size: 2596 pages
% 13.18/2.08  
% 13.18/2.08  # -------------------------------------------------
% 13.18/2.08  # User time                : 1.574 s
% 13.18/2.08  # System time              : 0.038 s
% 13.18/2.08  # Total time               : 1.612 s
% 13.18/2.08  # Maximum resident set size: 1996 pages
% 13.18/2.08  % E---3.1 exiting
%------------------------------------------------------------------------------