%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN499-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:25:09 PM UTC 2026
% Result : Unsatisfiable 32.27s 4.61s
% Output : CNFRefutation 32.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 154
% Syntax : Number of formulae : 604 ( 2 unt; 0 def)
% Number of atoms : 2418 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 3002 (1188 ~;1777 |; 0 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 66 ( 65 usr; 62 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 326 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause22,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
cnf(clause25,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
cnf(clause32,negated_conjecture,
( hskp6
| hskp9
| hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
cnf(clause38,negated_conjecture,
( ~ hskp30
| c0_1(a167) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(clause40,negated_conjecture,
( ~ hskp30
| c3_1(a167) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause39,negated_conjecture,
( ~ hskp30
| c1_1(a167) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause116,negated_conjecture,
( ~ hskp7
| ~ c0_1(a132) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
cnf(clause117,negated_conjecture,
( ~ hskp7
| ~ c2_1(a132) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause47,negated_conjecture,
( ~ hskp27
| c0_1(a122) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause49,negated_conjecture,
( ~ hskp27
| c3_1(a122) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause48,negated_conjecture,
( ~ hskp27
| c2_1(a122) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause118,negated_conjecture,
( ~ hskp6
| ~ c0_1(a131) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause119,negated_conjecture,
( ~ hskp6
| ~ c1_1(a131) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause120,negated_conjecture,
( ~ hskp6
| ~ c2_1(a131) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause72,negated_conjecture,
( ~ hskp9
| c0_1(a138) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause73,negated_conjecture,
( ~ hskp9
| c1_1(a138) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause113,negated_conjecture,
( ~ hskp9
| ~ c2_1(a138) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause133,negated_conjecture,
( ~ ndr1_0
| hskp7
| hskp9
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause70,negated_conjecture,
( ~ hskp12
| c3_1(a142) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
cnf(clause107,negated_conjecture,
( ~ hskp12
| ~ c1_1(a142) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause55,negated_conjecture,
( ~ hskp21
| c0_1(a170) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
cnf(clause56,negated_conjecture,
( ~ hskp21
| c2_1(a170) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
cnf(clause143,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp22
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
cnf(clause140,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp17
| hskp19
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause148,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| hskp3
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
cnf(clause68,negated_conjecture,
( ~ hskp13
| c3_1(a143) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
cnf(clause106,negated_conjecture,
( ~ hskp13
| ~ c1_1(a143) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(clause95,negated_conjecture,
( ~ hskp20
| ~ c0_1(a168) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(clause96,negated_conjecture,
( ~ hskp20
| ~ c3_1(a168) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause57,negated_conjecture,
( ~ hskp20
| c1_1(a168) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
cnf(clause146,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp18
| hskp0
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
cnf(clause63,negated_conjecture,
( ~ hskp16
| c3_1(a154) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause62,negated_conjecture,
( ~ hskp16
| c1_1(a154) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause100,negated_conjecture,
( ~ hskp17
| ~ c0_1(a155) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(clause101,negated_conjecture,
( ~ hskp17
| ~ c2_1(a155) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
cnf(clause78,negated_conjecture,
( ~ hskp3
| c1_1(a127) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause126,negated_conjecture,
( ~ hskp3
| ~ c3_1(a127) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(clause125,negated_conjecture,
( ~ hskp3
| ~ c2_1(a127) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause167,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause43,negated_conjecture,
( ~ hskp29
| c2_1(a136) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause42,negated_conjecture,
( ~ hskp29
| c1_1(a136) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause156,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp17
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
cnf(clause137,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp3
| hskp28
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
cnf(clause75,negated_conjecture,
( ~ hskp7
| c3_1(a132) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause129,negated_conjecture,
( ~ hskp0
| ~ c0_1(a123) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
cnf(clause83,negated_conjecture,
( ~ hskp0
| c2_1(a123) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
cnf(clause136,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp8
| hskp28
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
cnf(clause142,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp24
| hskp15
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
cnf(clause145,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp7
| hskp29
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
cnf(clause157,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp24
| hskp17
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
cnf(clause150,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp7
| hskp22
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
cnf(clause147,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp6
| hskp21
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
cnf(clause144,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp0
| hskp17
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
cnf(clause158,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp15
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
cnf(clause166,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp8
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
cnf(clause59,negated_conjecture,
( ~ hskp19
| c3_1(a164) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(clause58,negated_conjecture,
( ~ hskp19
| c1_1(a164) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
cnf(clause97,negated_conjecture,
( ~ hskp19
| ~ c2_1(a164) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
cnf(clause36,negated_conjecture,
( hskp13
| hskp19
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(clause69,negated_conjecture,
( ~ hskp12
| c0_1(a142) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
cnf(clause168,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp27
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
cnf(clause41,negated_conjecture,
( ~ hskp29
| c0_1(a136) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
cnf(clause89,negated_conjecture,
( ~ hskp24
| ~ c3_1(a182) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause88,negated_conjecture,
( ~ hskp24
| ~ c2_1(a182) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(clause87,negated_conjecture,
( ~ hskp24
| ~ c0_1(a182) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
cnf(clause130,negated_conjecture,
( ~ hskp0
| ~ c1_1(a123) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
cnf(clause61,negated_conjecture,
( ~ hskp17
| c1_1(a155) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
cnf(clause92,negated_conjecture,
( ~ hskp22
| ~ c1_1(a176) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
cnf(clause54,negated_conjecture,
( ~ hskp22
| c0_1(a176) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
cnf(clause64,negated_conjecture,
( ~ hskp15
| c2_1(a153) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause46,negated_conjecture,
( ~ hskp28
| c3_1(a133) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause65,negated_conjecture,
( ~ hskp15
| c3_1(a153) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
cnf(clause115,negated_conjecture,
( ~ hskp8
| ~ c3_1(a134) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
cnf(clause74,negated_conjecture,
( ~ hskp8
| c2_1(a134) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause60,negated_conjecture,
( ~ hskp18
| c3_1(a160) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
cnf(clause98,negated_conjecture,
( ~ hskp18
| ~ c1_1(a160) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause99,negated_conjecture,
( ~ hskp18
| ~ c2_1(a160) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause103,negated_conjecture,
( ~ hskp15
| ~ c0_1(a153) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
cnf(clause67,negated_conjecture,
( ~ hskp13
| c2_1(a143) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause44,negated_conjecture,
( ~ hskp28
| c1_1(a133) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause45,negated_conjecture,
( ~ hskp28
| c2_1(a133) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause34,negated_conjecture,
( hskp6
| hskp20
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause76,negated_conjecture,
( ~ hskp4
| c0_1(a128) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(clause77,negated_conjecture,
( ~ hskp4
| c1_1(a128) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(clause124,negated_conjecture,
( ~ hskp4
| ~ c3_1(a128) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
cnf(clause121,negated_conjecture,
( ~ hskp5
| ~ c0_1(a130) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
cnf(clause122,negated_conjecture,
( ~ hskp5
| ~ c1_1(a130) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(clause123,negated_conjecture,
( ~ hskp5
| ~ c3_1(a130) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
cnf(clause114,negated_conjecture,
( ~ hskp8
| ~ c0_1(a134) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
cnf(clause93,negated_conjecture,
( ~ hskp22
| ~ c2_1(a176) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
cnf(clause204,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
cnf(clause202,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
cnf(clause200,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
cnf(clause198,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
cnf(clause196,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
cnf(clause193,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
cnf(clause194,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
cnf(clause191,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause189,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause190,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
cnf(clause185,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause187,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
cnf(clause188,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
cnf(clause186,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c3_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
cnf(clause179,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp6
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(clause180,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
cnf(clause181,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
cnf(clause184,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp9
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
cnf(clause183,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
cnf(clause172,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp4
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
cnf(clause173,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp12
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
cnf(clause176,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
cnf(clause169,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
cnf(clause33,negated_conjecture,
( hskp15
| hskp3
| hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause102,negated_conjecture,
( ~ hskp16
| ~ c0_1(a154) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(clause94,negated_conjecture,
( ~ hskp21
| ~ c1_1(a170) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
cnf(c_0_117,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause1]) ).
cnf(c_0_118,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause22]) ).
cnf(c_0_119,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause25]) ).
cnf(c_0_120,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
c_0_117 ).
cnf(c_0_121,negated_conjecture,
( hskp6
| hskp9
| hskp30 ),
clause32 ).
cnf(c_0_122,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
c_0_118 ).
cnf(c_0_123,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
c_0_119 ).
fof(c_0_124,plain,
( ~ epred23_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_125,negated_conjecture,
( ~ hskp30
| c0_1(a167) ),
inference(fof_simplification,[status(thm)],[clause38]) ).
cnf(c_0_126,negated_conjecture,
( ~ hskp30
| c3_1(a167) ),
inference(fof_simplification,[status(thm)],[clause40]) ).
fof(c_0_127,plain,
( ~ epred24_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp7 ) ),
introduced(definition) ).
cnf(c_0_128,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_123]) ).
cnf(c_0_129,negated_conjecture,
( ~ hskp30
| c1_1(a167) ),
inference(fof_simplification,[status(thm)],[clause39]) ).
fof(c_0_130,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_131,plain,
( ~ epred25_0
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_132,negated_conjecture,
( ~ hskp7
| ~ c0_1(a132) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
fof(c_0_133,plain,
( ~ epred11_0
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp7
| ~ c2_1(a132) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
fof(c_0_135,plain,
( ~ epred1_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp27 ) ),
introduced(definition) ).
cnf(c_0_136,negated_conjecture,
( ~ hskp27
| c0_1(a122) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_137,negated_conjecture,
( ~ hskp27
| c3_1(a122) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_138,negated_conjecture,
( ~ hskp27
| c2_1(a122) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_139,negated_conjecture,
( ~ hskp6
| ~ c0_1(a131) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_140,negated_conjecture,
( ~ hskp6
| ~ c1_1(a131) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_141,negated_conjecture,
( ~ hskp6
| ~ c2_1(a131) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_142,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred23_0 ),
inference(split_equiv,[status(thm)],[c_0_124]) ).
cnf(c_0_143,negated_conjecture,
( ~ hskp30
| c0_1(a167) ),
c_0_125 ).
cnf(c_0_144,negated_conjecture,
( ~ hskp30
| c3_1(a167) ),
c_0_126 ).
cnf(c_0_145,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp7
| c2_1(X1)
| epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_127]),c_0_128])]) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp30
| c1_1(a167) ),
c_0_129 ).
cnf(c_0_147,negated_conjecture,
( ~ hskp9
| c0_1(a138) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_148,negated_conjecture,
( ~ hskp9
| c1_1(a138) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp9
| ~ c2_1(a138) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
cnf(c_0_150,negated_conjecture,
( ~ ndr1_0
| hskp7
| hskp9
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_151,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred29_0 ),
inference(split_equiv,[status(thm)],[c_0_130]) ).
cnf(c_0_152,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred25_0 ),
inference(split_equiv,[status(thm)],[c_0_131]) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp12
| c3_1(a142) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp12
| ~ c1_1(a142) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
cnf(c_0_155,negated_conjecture,
( ~ hskp7
| ~ c0_1(a132) ),
c_0_132 ).
cnf(c_0_156,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred11_0 ),
inference(split_equiv,[status(thm)],[c_0_133]) ).
cnf(c_0_157,negated_conjecture,
( ~ hskp7
| ~ c2_1(a132) ),
c_0_134 ).
cnf(c_0_158,negated_conjecture,
( hskp27
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_135]),c_0_128])]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp27
| c0_1(a122) ),
c_0_136 ).
cnf(c_0_160,negated_conjecture,
( ~ hskp27
| c3_1(a122) ),
c_0_137 ).
cnf(c_0_161,negated_conjecture,
( ~ hskp27
| c2_1(a122) ),
c_0_138 ).
cnf(c_0_162,negated_conjecture,
( ~ hskp6
| ~ c0_1(a131) ),
c_0_139 ).
cnf(c_0_163,negated_conjecture,
( ~ hskp6
| ~ c1_1(a131) ),
c_0_140 ).
cnf(c_0_164,negated_conjecture,
( ~ hskp6
| ~ c2_1(a131) ),
c_0_141 ).
cnf(c_0_165,negated_conjecture,
( ~ hskp30
| ~ c2_1(a167)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp30
| hskp7
| c2_1(a167)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_143]),c_0_146]) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp9
| c0_1(a138) ),
c_0_147 ).
cnf(c_0_168,negated_conjecture,
( ~ hskp9
| c1_1(a138) ),
c_0_148 ).
cnf(c_0_169,negated_conjecture,
( ~ hskp9
| ~ c2_1(a138) ),
c_0_149 ).
fof(c_0_170,plain,
( ~ epred49_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp21
| c0_1(a170) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp21
| c2_1(a170) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
fof(c_0_173,plain,
( ~ epred20_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_174,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_175,negated_conjecture,
( ~ ndr1_0
| hskp7
| hskp9
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
c_0_150 ).
cnf(c_0_176,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp22
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
cnf(c_0_177,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp17
| hskp19
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause140]) ).
cnf(c_0_178,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| hskp3
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause148]) ).
cnf(c_0_179,negated_conjecture,
( ~ hskp13
| c3_1(a143) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp13
| ~ c1_1(a143) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
cnf(c_0_181,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| epred25_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp12
| c3_1(a142) ),
c_0_153 ).
cnf(c_0_183,negated_conjecture,
( ~ hskp12
| ~ c1_1(a142) ),
c_0_154 ).
cnf(c_0_184,negated_conjecture,
( ~ hskp7
| ~ c1_1(a132)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp7
| hskp27
| c1_1(a132)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_158]),c_0_157]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp27
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_159]),c_0_160]),c_0_161]) ).
cnf(c_0_187,negated_conjecture,
( ~ hskp6
| hskp27
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_158]),c_0_163]),c_0_164]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp30
| hskp7
| epred23_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp9
| hskp7
| epred24_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_167]),c_0_168]),c_0_169]) ).
fof(c_0_190,plain,
( ~ epred28_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_191,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_192,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred49_0 ),
inference(split_equiv,[status(thm)],[c_0_170]) ).
fof(c_0_193,plain,
( ~ epred42_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp20
| ~ c0_1(a168) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
fof(c_0_195,plain,
( ~ epred2_0
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_196,negated_conjecture,
( ~ hskp20
| ~ c3_1(a168) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp20
| c1_1(a168) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_198,negated_conjecture,
( ~ hskp21
| c0_1(a170) ),
c_0_171 ).
cnf(c_0_199,negated_conjecture,
( ~ hskp21
| c2_1(a170) ),
c_0_172 ).
cnf(c_0_200,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred20_0 ),
inference(split_equiv,[status(thm)],[c_0_173]) ).
cnf(c_0_201,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp18
| hskp0
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause146]) ).
fof(c_0_202,plain,
( ~ epred34_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_203,negated_conjecture,
( ~ hskp16
| c3_1(a154) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp16
| c1_1(a154) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_205,negated_conjecture,
( ~ hskp17
| ~ c0_1(a155) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
fof(c_0_206,plain,
( ~ epred33_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_207,negated_conjecture,
( ~ hskp17
| ~ c2_1(a155) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_208,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_174]),c_0_128])]) ).
cnf(c_0_209,negated_conjecture,
( hskp9
| hskp7
| c0_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_128])]) ).
fof(c_0_210,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp16 ) ),
introduced(definition) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp3
| c1_1(a127) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
cnf(c_0_212,negated_conjecture,
( ~ hskp3
| ~ c3_1(a127) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
fof(c_0_213,plain,
( ~ epred26_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp6 ) ),
introduced(definition) ).
fof(c_0_214,plain,
( ~ epred48_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_215,plain,
( ~ epred15_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1)
| hskp4 ) ),
introduced(definition) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp3
| ~ c2_1(a127) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
fof(c_0_217,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1)
| hskp12 ) ),
introduced(definition) ).
fof(c_0_218,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_219,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp3 ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_220,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp22
| c3_1(X1) ),
c_0_176 ).
cnf(c_0_221,negated_conjecture,
( ~ hskp29
| c2_1(a136) ),
inference(fof_simplification,[status(thm)],[clause43]) ).
cnf(c_0_222,negated_conjecture,
( ~ hskp29
| c1_1(a136) ),
inference(fof_simplification,[status(thm)],[clause42]) ).
cnf(c_0_223,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp17
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause156]) ).
fof(c_0_224,plain,
( ~ epred7_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp29 ) ),
introduced(definition) ).
fof(c_0_225,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_226,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp3
| hskp28
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
cnf(c_0_227,negated_conjecture,
( ~ hskp7
| c3_1(a132) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_228,negated_conjecture,
( ~ hskp0
| ~ c0_1(a123) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
cnf(c_0_229,negated_conjecture,
( ~ hskp0
| c2_1(a123) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_230,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp8
| hskp28
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_231,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp24
| hskp15
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause142]) ).
cnf(c_0_232,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp17
| hskp19
| c2_1(X1)
| c1_1(X1) ),
c_0_177 ).
fof(c_0_233,plain,
( ~ epred6_0
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_234,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp7
| hskp29
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause145]) ).
cnf(c_0_235,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp24
| hskp17
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause157]) ).
cnf(c_0_236,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| hskp3
| c1_1(X1) ),
c_0_178 ).
cnf(c_0_237,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp7
| hskp22
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause150]) ).
cnf(c_0_238,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp6
| hskp21
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause147]) ).
cnf(c_0_239,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp0
| hskp17
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause144]) ).
cnf(c_0_240,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp15
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause158]) ).
cnf(c_0_241,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp8
| hskp9 ),
inference(fof_simplification,[status(thm)],[clause166]) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp19
| c3_1(a164) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp19
| c1_1(a164) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_244,negated_conjecture,
( ~ hskp19
| ~ c2_1(a164) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp13
| c3_1(a143) ),
c_0_179 ).
cnf(c_0_246,negated_conjecture,
( ~ hskp13
| ~ c1_1(a143) ),
c_0_180 ).
cnf(c_0_247,negated_conjecture,
( ~ hskp12
| epred25_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]) ).
cnf(c_0_248,negated_conjecture,
( hskp13
| hskp19
| hskp12 ),
clause36 ).
cnf(c_0_249,negated_conjecture,
( ~ hskp12
| c0_1(a142) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
cnf(c_0_250,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp27
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp7
| hskp27
| epred1_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp6
| epred1_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_253,negated_conjecture,
( hskp7
| hskp6
| epred23_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_121]),c_0_189]) ).
cnf(c_0_254,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred28_0 ),
inference(split_equiv,[status(thm)],[c_0_190]) ).
cnf(c_0_255,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred32_0 ),
inference(split_equiv,[status(thm)],[c_0_191]) ).
cnf(c_0_256,negated_conjecture,
( ~ hskp30
| epred49_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_143]),c_0_146]),c_0_144]) ).
fof(c_0_257,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| hskp9 ) ),
introduced(definition) ).
cnf(c_0_258,negated_conjecture,
( ~ hskp29
| c0_1(a136) ),
inference(fof_simplification,[status(thm)],[clause41]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp24
| ~ c3_1(a182) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
cnf(c_0_260,negated_conjecture,
( ~ hskp24
| ~ c2_1(a182) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp24
| ~ c0_1(a182) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_262,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred42_0 ),
inference(split_equiv,[status(thm)],[c_0_193]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp0
| ~ c1_1(a123) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp20
| ~ c0_1(a168) ),
c_0_194 ).
cnf(c_0_265,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_195]) ).
cnf(c_0_266,negated_conjecture,
( ~ hskp20
| ~ c3_1(a168) ),
c_0_196 ).
cnf(c_0_267,negated_conjecture,
( ~ hskp20
| c1_1(a168) ),
c_0_197 ).
cnf(c_0_268,negated_conjecture,
( ~ hskp21
| ~ c3_1(a170)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_198]),c_0_199]) ).
cnf(c_0_269,negated_conjecture,
( ~ hskp21
| c3_1(a170)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_198]),c_0_199]) ).
fof(c_0_270,plain,
( ~ epred38_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_271,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp18
| hskp0
| c0_1(X1) ),
c_0_201 ).
cnf(c_0_272,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred34_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_202]),c_0_128])]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp16
| c3_1(a154) ),
c_0_203 ).
cnf(c_0_274,negated_conjecture,
( ~ hskp16
| c1_1(a154) ),
c_0_204 ).
cnf(c_0_275,negated_conjecture,
( ~ hskp17
| ~ c0_1(a155) ),
c_0_205 ).
cnf(c_0_276,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_128])]) ).
cnf(c_0_277,negated_conjecture,
( ~ hskp17
| ~ c2_1(a155) ),
c_0_207 ).
cnf(c_0_278,negated_conjecture,
( hskp9
| hskp7
| c3_1(X1)
| c2_1(X1)
| epred35_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_279,negated_conjecture,
( ~ c1_1(X1)
| hskp16
| c0_1(X1)
| c3_1(X1)
| epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_128])]) ).
cnf(c_0_280,negated_conjecture,
( ~ hskp3
| c1_1(a127) ),
c_0_211 ).
cnf(c_0_281,negated_conjecture,
( ~ hskp3
| ~ c3_1(a127) ),
c_0_212 ).
cnf(c_0_282,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp6
| c1_1(X1)
| epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_213]),c_0_128])]) ).
cnf(c_0_283,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred48_0 ),
inference(split_equiv,[status(thm)],[c_0_214]) ).
fof(c_0_284,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_285,negated_conjecture,
( ~ c1_1(X1)
| hskp4
| c0_1(X1)
| c2_1(X1)
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_215]),c_0_128])]) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp3
| ~ c2_1(a127) ),
c_0_216 ).
cnf(c_0_287,negated_conjecture,
( ~ c3_1(X1)
| hskp12
| c0_1(X1)
| c2_1(X1)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_217]),c_0_128])]) ).
cnf(c_0_288,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred43_0 ),
inference(split_equiv,[status(thm)],[c_0_218]) ).
cnf(c_0_289,negated_conjecture,
( ~ hskp17
| c1_1(a155) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_290,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp3 ),
c_0_219 ).
cnf(c_0_291,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| hskp22
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_128])]) ).
cnf(c_0_292,negated_conjecture,
( ~ hskp29
| c2_1(a136) ),
c_0_221 ).
cnf(c_0_293,negated_conjecture,
( ~ hskp29
| c1_1(a136) ),
c_0_222 ).
cnf(c_0_294,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp17
| c2_1(X1) ),
c_0_223 ).
cnf(c_0_295,negated_conjecture,
( ~ c1_1(X1)
| hskp29
| c3_1(X1)
| c2_1(X1)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_224]),c_0_128])]) ).
cnf(c_0_296,negated_conjecture,
( ~ c1_1(X1)
| hskp0
| c3_1(X1)
| c2_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_225]),c_0_128])]) ).
cnf(c_0_297,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp3
| hskp28
| c2_1(X1)
| c0_1(X1) ),
c_0_226 ).
cnf(c_0_298,negated_conjecture,
( ~ hskp7
| c3_1(a132) ),
c_0_227 ).
cnf(c_0_299,negated_conjecture,
( ~ hskp0
| ~ c0_1(a123) ),
c_0_228 ).
cnf(c_0_300,negated_conjecture,
( ~ hskp0
| c2_1(a123) ),
c_0_229 ).
cnf(c_0_301,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp8
| hskp28
| c1_1(X1)
| c0_1(X1) ),
c_0_230 ).
cnf(c_0_302,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp24
| hskp15
| c3_1(X1)
| c2_1(X1) ),
c_0_231 ).
cnf(c_0_303,negated_conjecture,
( ~ hskp22
| ~ c1_1(a176) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
cnf(c_0_304,negated_conjecture,
( ~ c0_1(X1)
| hskp19
| hskp17
| c1_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_128])]) ).
cnf(c_0_305,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_233]) ).
cnf(c_0_306,negated_conjecture,
( ~ hskp22
| c0_1(a176) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_307,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp7
| hskp29
| c0_1(X1) ),
c_0_234 ).
cnf(c_0_308,negated_conjecture,
( ~ hskp15
| c2_1(a153) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_309,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp24
| hskp17
| c2_1(X1) ),
c_0_235 ).
cnf(c_0_310,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp15
| hskp3
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_128])]) ).
cnf(c_0_311,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp7
| hskp22
| c1_1(X1) ),
c_0_237 ).
cnf(c_0_312,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp6
| hskp21
| c1_1(X1) ),
c_0_238 ).
cnf(c_0_313,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp0
| hskp17
| c0_1(X1) ),
c_0_239 ).
cnf(c_0_314,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp15
| c2_1(X1) ),
c_0_240 ).
cnf(c_0_315,negated_conjecture,
( ~ hskp28
| c3_1(a133) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_316,negated_conjecture,
( ~ hskp15
| c3_1(a153) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_317,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp8
| hskp9 ),
c_0_241 ).
fof(c_0_318,plain,
( ~ epred47_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_319,negated_conjecture,
( ~ hskp8
| ~ c3_1(a134) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
fof(c_0_320,plain,
( ~ epred45_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_321,plain,
( ~ epred41_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_322,plain,
( ~ epred40_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_323,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp5 ) ),
introduced(definition) ).
cnf(c_0_324,negated_conjecture,
( ~ hskp8
| c2_1(a134) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_325,negated_conjecture,
( ~ hskp19
| c3_1(a164) ),
c_0_242 ).
cnf(c_0_326,negated_conjecture,
( ~ hskp19
| c1_1(a164) ),
c_0_243 ).
cnf(c_0_327,negated_conjecture,
( ~ hskp19
| ~ c2_1(a164) ),
c_0_244 ).
cnf(c_0_328,negated_conjecture,
( ~ hskp13
| epred25_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_245]),c_0_246]) ).
cnf(c_0_329,negated_conjecture,
( hskp19
| hskp13
| epred25_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
fof(c_0_330,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| hskp6 ) ),
introduced(definition) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp18
| c3_1(a160) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp18
| ~ c1_1(a160) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_333,negated_conjecture,
( ~ hskp18
| ~ c2_1(a160) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp12
| c0_1(a142) ),
c_0_249 ).
cnf(c_0_335,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp27
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
c_0_250 ).
cnf(c_0_336,negated_conjecture,
( ~ hskp7
| epred1_0
| epred11_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_251]) ).
cnf(c_0_337,negated_conjecture,
( hskp7
| epred1_0
| epred23_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_338,negated_conjecture,
( ~ hskp30
| ~ c2_1(a167)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_144]),c_0_146]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp30
| ~ c2_1(a167)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_143]),c_0_146]) ).
cnf(c_0_340,negated_conjecture,
( hskp9
| hskp6
| epred49_0 ),
inference(spm,[status(thm)],[c_0_256,c_0_121]) ).
cnf(c_0_341,negated_conjecture,
( ~ c1_1(X1)
| hskp9
| c3_1(X1)
| c2_1(X1)
| epred21_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_257]),c_0_128])]) ).
fof(c_0_342,plain,
( ~ epred22_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c0_1(X2)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_343,negated_conjecture,
( ~ hskp29
| c0_1(a136) ),
c_0_258 ).
cnf(c_0_344,negated_conjecture,
( ~ hskp15
| ~ c0_1(a153) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
cnf(c_0_345,negated_conjecture,
( ~ hskp24
| ~ c3_1(a182) ),
c_0_259 ).
cnf(c_0_346,negated_conjecture,
( ~ hskp24
| ~ c2_1(a182) ),
c_0_260 ).
cnf(c_0_347,negated_conjecture,
( ~ hskp24
| ~ c0_1(a182) ),
c_0_261 ).
cnf(c_0_348,negated_conjecture,
( ~ hskp27
| ~ c1_1(a122)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_159]),c_0_161]) ).
cnf(c_0_349,negated_conjecture,
( ~ hskp27
| c1_1(a122)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_160]),c_0_161]) ).
cnf(c_0_350,negated_conjecture,
( ~ hskp13
| c2_1(a143) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_351,negated_conjecture,
( ~ hskp28
| c1_1(a133) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_352,negated_conjecture,
( ~ hskp28
| c2_1(a133) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_353,negated_conjecture,
( ~ hskp0
| ~ c1_1(a123) ),
c_0_263 ).
cnf(c_0_354,negated_conjecture,
( ~ hskp20
| ~ c2_1(a168)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]) ).
cnf(c_0_355,negated_conjecture,
( ~ hskp20
| c2_1(a168)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_156]),c_0_267]) ).
cnf(c_0_356,negated_conjecture,
( ~ hskp21
| epred20_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_357,negated_conjecture,
( hskp6
| hskp20
| hskp21 ),
clause34 ).
fof(c_0_358,plain,
( ~ epred16_0
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp4
| c0_1(a128) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp4
| c1_1(a128) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_361,negated_conjecture,
( ~ hskp4
| ~ c3_1(a128) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
fof(c_0_362,plain,
( ~ epred8_0
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_363,negated_conjecture,
( ~ hskp5
| ~ c0_1(a130) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
fof(c_0_364,plain,
( ~ epred4_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_365,negated_conjecture,
( ~ hskp5
| ~ c1_1(a130) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
cnf(c_0_366,negated_conjecture,
( ~ hskp5
| ~ c3_1(a130) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
cnf(c_0_367,negated_conjecture,
( ~ hskp8
| ~ c0_1(a134) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_368,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_270]),c_0_128])]) ).
cnf(c_0_369,negated_conjecture,
( ~ hskp22
| ~ c2_1(a176) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_370,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause204]) ).
cnf(c_0_371,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause202]) ).
cnf(c_0_372,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause200]) ).
cnf(c_0_373,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause198]) ).
cnf(c_0_374,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause196]) ).
cnf(c_0_375,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause193]) ).
cnf(c_0_376,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause194]) ).
cnf(c_0_377,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause191]) ).
cnf(c_0_378,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_379,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause190]) ).
cnf(c_0_380,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_381,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause187]) ).
cnf(c_0_382,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause188]) ).
cnf(c_0_383,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c3_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_384,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp6
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
cnf(c_0_385,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause180]) ).
cnf(c_0_386,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_387,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp9
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_388,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause183]) ).
cnf(c_0_389,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp4
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause172]) ).
cnf(c_0_390,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp12
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_391,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_392,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause169]) ).
cnf(c_0_393,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| hskp18
| hskp0
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_128])]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp16
| c2_1(a154)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp17
| ~ c3_1(a155)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).
cnf(c_0_396,negated_conjecture,
( hskp7
| c3_1(X1)
| c2_1(X1)
| epred24_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_278]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp3
| hskp16
| c0_1(a127)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_281]) ).
cnf(c_0_398,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| hskp6
| c1_1(X1)
| epred26_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_399,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_284]) ).
cnf(c_0_400,negated_conjecture,
( ~ hskp3
| hskp4
| c0_1(a127)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_280]),c_0_286]) ).
cnf(c_0_401,negated_conjecture,
( ~ c1_1(X1)
| hskp12
| c0_1(X1)
| c2_1(X1)
| epred12_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_402,negated_conjecture,
( ~ hskp17
| c1_1(a155) ),
c_0_289 ).
cnf(c_0_403,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp13
| hskp3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_128])]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp29
| hskp22
| c3_1(a136) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]) ).
cnf(c_0_405,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp17
| hskp13
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_128])]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp9
| hskp29
| c3_1(a138)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_168]),c_0_169]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp9
| hskp0
| c3_1(a138)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_168]),c_0_169]) ).
cnf(c_0_408,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred23_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_142,c_0_152]) ).
cnf(c_0_409,negated_conjecture,
( ~ c1_1(X1)
| hskp28
| hskp3
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_128])]) ).
cnf(c_0_410,negated_conjecture,
( ~ hskp7
| c1_1(a132)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_152]),c_0_298]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp0
| c3_1(a123)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_265]),c_0_300]) ).
cnf(c_0_412,negated_conjecture,
( ~ c3_1(X1)
| hskp28
| hskp8
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_128])]) ).
cnf(c_0_413,negated_conjecture,
( ~ c1_1(X1)
| hskp24
| hskp15
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_128])]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp22
| ~ c1_1(a176) ),
c_0_303 ).
cnf(c_0_415,negated_conjecture,
( hskp19
| hskp17
| c1_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_416,negated_conjecture,
( ~ hskp22
| c0_1(a176) ),
c_0_306 ).
cnf(c_0_417,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| hskp29
| hskp7
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_128])]) ).
cnf(c_0_418,negated_conjecture,
( ~ hskp15
| c2_1(a153) ),
c_0_308 ).
cnf(c_0_419,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp24
| hskp17
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_128])]) ).
cnf(c_0_420,negated_conjecture,
( ~ c3_1(X1)
| hskp15
| hskp3
| c1_1(X1)
| epred25_0 ),
inference(spm,[status(thm)],[c_0_310,c_0_152]) ).
cnf(c_0_421,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| hskp22
| hskp7
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_128])]) ).
cnf(c_0_422,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp21
| hskp6
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_128])]) ).
cnf(c_0_423,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp17
| hskp0
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_128])]) ).
cnf(c_0_424,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp15
| hskp13
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_128])]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp28
| c3_1(a133) ),
c_0_315 ).
cnf(c_0_426,negated_conjecture,
( ~ hskp15
| c3_1(a153) ),
c_0_316 ).
cnf(c_0_427,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp9
| hskp8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_128])]) ).
cnf(c_0_428,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred47_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_318]),c_0_128])]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp8
| ~ c3_1(a134) ),
c_0_319 ).
cnf(c_0_430,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_320]),c_0_128])]) ).
cnf(c_0_431,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred41_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_321]),c_0_128])]) ).
cnf(c_0_432,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_322]),c_0_128])]) ).
cnf(c_0_433,negated_conjecture,
( ~ c2_1(X1)
| hskp5
| c0_1(X1)
| c1_1(X1)
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_323]),c_0_128])]) ).
cnf(c_0_434,negated_conjecture,
( ~ hskp8
| c2_1(a134) ),
c_0_324 ).
cnf(c_0_435,negated_conjecture,
( ~ hskp19
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_325]),c_0_326]),c_0_327]) ).
cnf(c_0_436,negated_conjecture,
( hskp19
| epred25_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_437,negated_conjecture,
( ~ hskp7
| ~ c1_1(a132)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_298]),c_0_157]) ).
cnf(c_0_438,negated_conjecture,
( ~ hskp7
| c1_1(a132)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_305]),c_0_157]) ).
cnf(c_0_439,negated_conjecture,
( ~ c1_1(X1)
| hskp7
| c2_1(X1)
| epred11_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_145,c_0_156]) ).
cnf(c_0_440,negated_conjecture,
( ~ c3_1(X1)
| hskp6
| c1_1(X1)
| c2_1(X1)
| epred30_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_330]),c_0_128])]) ).
cnf(c_0_441,negated_conjecture,
( ~ hskp18
| c3_1(a160) ),
c_0_331 ).
cnf(c_0_442,negated_conjecture,
( ~ hskp18
| ~ c1_1(a160) ),
c_0_332 ).
cnf(c_0_443,negated_conjecture,
( ~ hskp18
| ~ c2_1(a160) ),
c_0_333 ).
cnf(c_0_444,negated_conjecture,
( ~ hskp12
| hskp6
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_334]),c_0_182]),c_0_183]) ).
cnf(c_0_445,negated_conjecture,
( ~ hskp7
| hskp12
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_298]),c_0_155]),c_0_157]) ).
cnf(c_0_446,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_335,c_0_135]),c_0_195]) ).
cnf(c_0_447,negated_conjecture,
( epred1_0
| epred11_0
| epred23_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_448,negated_conjecture,
( ~ hskp30
| hskp7
| epred24_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_338,c_0_166]) ).
cnf(c_0_449,negated_conjecture,
( ~ hskp30
| hskp7
| epred24_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_166]) ).
cnf(c_0_450,negated_conjecture,
( ~ hskp6
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_305]),c_0_163]),c_0_164]) ).
cnf(c_0_451,negated_conjecture,
( hskp7
| hskp6
| epred24_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_340]) ).
cnf(c_0_452,negated_conjecture,
( ~ hskp3
| hskp9
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_280]),c_0_281]),c_0_286]) ).
cnf(c_0_453,negated_conjecture,
( hskp8
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_342]),c_0_128])]) ).
cnf(c_0_454,negated_conjecture,
( ~ hskp29
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_343]),c_0_293]),c_0_292]) ).
cnf(c_0_455,negated_conjecture,
( ~ hskp3
| hskp29
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_280]),c_0_281]),c_0_286]) ).
cnf(c_0_456,negated_conjecture,
( ~ hskp15
| ~ c0_1(a153) ),
c_0_344 ).
cnf(c_0_457,negated_conjecture,
( ~ hskp24
| ~ c1_1(a182)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_288]),c_0_346]) ).
cnf(c_0_458,negated_conjecture,
( ~ hskp24
| c1_1(a182)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_305]),c_0_346]) ).
cnf(c_0_459,negated_conjecture,
( ~ hskp27
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_348,c_0_349]) ).
cnf(c_0_460,negated_conjecture,
( hskp15
| hskp3
| hskp27 ),
clause33 ).
cnf(c_0_461,negated_conjecture,
( ~ hskp13
| c2_1(a143) ),
c_0_350 ).
cnf(c_0_462,negated_conjecture,
( ~ hskp28
| c1_1(a133) ),
c_0_351 ).
cnf(c_0_463,negated_conjecture,
( ~ hskp28
| c2_1(a133) ),
c_0_352 ).
cnf(c_0_464,negated_conjecture,
( ~ hskp0
| ~ c3_1(a123)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_152]),c_0_353]) ).
cnf(c_0_465,negated_conjecture,
( ~ hskp20
| epred2_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_466,negated_conjecture,
( hskp20
| hskp6
| epred20_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_467,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_358]) ).
cnf(c_0_468,negated_conjecture,
( ~ hskp4
| c0_1(a128) ),
c_0_359 ).
cnf(c_0_469,negated_conjecture,
( ~ hskp4
| c1_1(a128) ),
c_0_360 ).
cnf(c_0_470,negated_conjecture,
( ~ hskp4
| ~ c3_1(a128) ),
c_0_361 ).
cnf(c_0_471,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_362]) ).
cnf(c_0_472,negated_conjecture,
( ~ hskp5
| ~ c0_1(a130) ),
c_0_363 ).
cnf(c_0_473,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_364]) ).
cnf(c_0_474,negated_conjecture,
( ~ hskp5
| ~ c1_1(a130) ),
c_0_365 ).
cnf(c_0_475,negated_conjecture,
( ~ hskp5
| ~ c3_1(a130) ),
c_0_366 ).
cnf(c_0_476,negated_conjecture,
( ~ hskp8
| ~ c0_1(a134) ),
c_0_367 ).
cnf(c_0_477,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| epred6_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_368,c_0_305]) ).
cnf(c_0_478,negated_conjecture,
( ~ hskp22
| ~ c2_1(a176) ),
c_0_369 ).
cnf(c_0_479,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c3_1(X2) ),
c_0_370 ).
cnf(c_0_480,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2) ),
c_0_371 ).
cnf(c_0_481,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2) ),
c_0_372 ).
cnf(c_0_482,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2) ),
c_0_373 ).
cnf(c_0_483,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
c_0_374 ).
cnf(c_0_484,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
c_0_375 ).
cnf(c_0_485,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_376 ).
cnf(c_0_486,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_377 ).
cnf(c_0_487,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_378 ).
cnf(c_0_488,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
c_0_379 ).
cnf(c_0_489,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2) ),
c_0_380 ).
cnf(c_0_490,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c2_1(X2)
| c1_1(X2) ),
c_0_381 ).
cnf(c_0_491,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c2_1(X1) ),
c_0_382 ).
cnf(c_0_492,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c3_1(X2)
| c0_1(X2) ),
c_0_383 ).
cnf(c_0_493,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp6
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_384 ).
cnf(c_0_494,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_385 ).
cnf(c_0_495,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
c_0_386 ).
cnf(c_0_496,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp9
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
c_0_387 ).
cnf(c_0_497,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_388 ).
cnf(c_0_498,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp4
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
c_0_389 ).
cnf(c_0_499,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp12
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
c_0_390 ).
cnf(c_0_500,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_391 ).
cnf(c_0_501,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_392 ).
cnf(c_0_502,negated_conjecture,
( ~ hskp16
| ~ c0_1(a154) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp21
| ~ c1_1(a170) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
cnf(c_0_504,negated_conjecture,
( ~ hskp16
| ~ c3_1(a154)
| epred34_0
| hskp18
| hskp0
| c0_1(a154) ),
inference(spm,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_505,negated_conjecture,
( ~ hskp17
| hskp7
| c2_1(a155)
| epred24_0
| epred35_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_396]) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp3
| ~ c1_1(a127)
| hskp16
| epred27_0
| hskp7
| c2_1(a127)
| epred24_0 ),
inference(spm,[status(thm)],[c_0_145,c_0_397]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp13
| ~ c2_1(a143)
| hskp6
| c1_1(a143)
| epred26_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_398,c_0_245]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp3
| ~ c1_1(a127)
| hskp4
| epred15_0
| c3_1(a127)
| epred14_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_400]) ).
cnf(c_0_509,negated_conjecture,
( ~ hskp17
| hskp12
| c0_1(a155)
| c2_1(a155)
| epred12_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
cnf(c_0_510,negated_conjecture,
( ~ hskp29
| ~ c1_1(a136)
| ~ c2_1(a136)
| hskp22
| hskp13
| hskp3 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_511,negated_conjecture,
( ~ hskp9
| ~ c1_1(a138)
| hskp29
| epred7_0
| hskp17
| hskp13
| c2_1(a138) ),
inference(spm,[status(thm)],[c_0_405,c_0_406]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp9
| ~ c1_1(a138)
| hskp0
| epred5_0
| hskp17
| hskp13
| c2_1(a138) ),
inference(spm,[status(thm)],[c_0_405,c_0_407]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp12
| ~ c2_1(a142)
| c1_1(a142)
| epred23_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_408,c_0_182]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp7
| epred25_0
| hskp28
| hskp3
| c0_1(a132)
| c2_1(a132) ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_515,negated_conjecture,
( ~ hskp0
| ~ c2_1(a123)
| epred2_0
| c1_1(a123)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_411]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp6
| hskp9
| hskp7
| c3_1(a131)
| c2_1(a131) ),
inference(spm,[status(thm)],[c_0_162,c_0_209]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp7
| hskp28
| hskp8
| c0_1(a132)
| c1_1(a132) ),
inference(spm,[status(thm)],[c_0_412,c_0_298]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp17
| hskp28
| hskp3
| c0_1(a155)
| c2_1(a155) ),
inference(spm,[status(thm)],[c_0_409,c_0_402]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp3
| hskp24
| hskp15
| c3_1(a127)
| c2_1(a127) ),
inference(spm,[status(thm)],[c_0_413,c_0_280]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp22
| hskp19
| hskp17
| c2_1(a176)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp22
| hskp19
| hskp17
| c1_1(a176)
| c2_1(a176) ),
inference(spm,[status(thm)],[c_0_304,c_0_416]) ).
cnf(c_0_522,negated_conjecture,
( ~ hskp15
| ~ c3_1(a153)
| hskp29
| hskp7
| c0_1(a153) ),
inference(spm,[status(thm)],[c_0_417,c_0_418]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp7
| ~ c1_1(a132)
| hskp24
| hskp17
| c2_1(a132) ),
inference(spm,[status(thm)],[c_0_419,c_0_298]) ).
cnf(c_0_524,negated_conjecture,
( ~ hskp13
| hskp15
| hskp3
| c1_1(a143)
| epred25_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_245]) ).
cnf(c_0_525,negated_conjecture,
( ~ hskp12
| hskp15
| hskp3
| c1_1(a142)
| epred25_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_182]) ).
cnf(c_0_526,negated_conjecture,
( ~ hskp13
| ~ c2_1(a143)
| hskp22
| hskp7
| c1_1(a143) ),
inference(spm,[status(thm)],[c_0_421,c_0_245]) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp12
| ~ c3_1(a142)
| hskp21
| hskp6
| c1_1(a142) ),
inference(spm,[status(thm)],[c_0_422,c_0_334]) ).
cnf(c_0_528,negated_conjecture,
( ~ hskp15
| ~ c3_1(a153)
| hskp18
| hskp0
| c0_1(a153) ),
inference(spm,[status(thm)],[c_0_393,c_0_418]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp19
| ~ c1_1(a164)
| hskp17
| hskp13
| c2_1(a164) ),
inference(spm,[status(thm)],[c_0_405,c_0_325]) ).
cnf(c_0_530,negated_conjecture,
( ~ hskp7
| ~ c1_1(a132)
| hskp17
| hskp13
| c2_1(a132) ),
inference(spm,[status(thm)],[c_0_405,c_0_298]) ).
cnf(c_0_531,negated_conjecture,
( ~ hskp7
| ~ c1_1(a132)
| hskp17
| hskp0
| c0_1(a132) ),
inference(spm,[status(thm)],[c_0_423,c_0_298]) ).
cnf(c_0_532,negated_conjecture,
( ~ hskp19
| ~ c1_1(a164)
| hskp15
| hskp13
| c2_1(a164) ),
inference(spm,[status(thm)],[c_0_424,c_0_325]) ).
cnf(c_0_533,negated_conjecture,
( ~ hskp12
| ~ c3_1(a142)
| hskp15
| hskp3
| c1_1(a142) ),
inference(spm,[status(thm)],[c_0_310,c_0_334]) ).
cnf(c_0_534,negated_conjecture,
( ~ hskp28
| ~ c1_1(a133)
| ~ c2_1(a133)
| hskp13
| hskp3 ),
inference(spm,[status(thm)],[c_0_403,c_0_425]) ).
cnf(c_0_535,negated_conjecture,
( ~ hskp15
| ~ c1_1(a153)
| ~ c2_1(a153)
| hskp13
| hskp3 ),
inference(spm,[status(thm)],[c_0_403,c_0_426]) ).
cnf(c_0_536,negated_conjecture,
( ~ hskp30
| ~ c1_1(a167)
| ~ c2_1(a167)
| hskp9
| hskp8 ),
inference(spm,[status(thm)],[c_0_427,c_0_144]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp28
| ~ c1_1(a133)
| ~ c2_1(a133)
| hskp9
| hskp8 ),
inference(spm,[status(thm)],[c_0_427,c_0_425]) ).
cnf(c_0_538,negated_conjecture,
( ~ hskp21
| ~ c2_1(a170)
| c1_1(a170)
| epred47_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_198]) ).
cnf(c_0_539,negated_conjecture,
( ~ c1_1(a134)
| ~ c2_1(a134)
| ~ hskp8
| epred45_0 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_540,negated_conjecture,
( ~ hskp7
| c1_1(a132)
| c2_1(a132)
| epred41_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_298]) ).
cnf(c_0_541,negated_conjecture,
( ~ hskp12
| ~ c3_1(a142)
| c2_1(a142)
| epred40_0 ),
inference(spm,[status(thm)],[c_0_432,c_0_334]) ).
cnf(c_0_542,negated_conjecture,
( ~ hskp8
| hskp5
| c0_1(a134)
| c1_1(a134)
| epred31_0 ),
inference(spm,[status(thm)],[c_0_433,c_0_434]) ).
cnf(c_0_543,negated_conjecture,
( epred25_0
| epred29_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_544,negated_conjecture,
( ~ hskp7
| epred6_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_545,negated_conjecture,
( ~ hskp7
| epred33_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_276]),c_0_298]),c_0_157]) ).
cnf(c_0_546,negated_conjecture,
( ~ hskp6
| ~ c3_1(a131)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_276]),c_0_164]) ).
cnf(c_0_547,negated_conjecture,
( ~ hskp19
| hskp7
| epred11_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_326]),c_0_327]) ).
cnf(c_0_548,negated_conjecture,
( ~ hskp3
| hskp7
| epred11_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_280]),c_0_286]) ).
cnf(c_0_549,negated_conjecture,
( ~ hskp18
| hskp6
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_442]),c_0_443]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp7
| hskp6
| c1_1(a132)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_298]),c_0_157]) ).
cnf(c_0_551,negated_conjecture,
( ~ hskp7
| hskp6
| epred12_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_552,negated_conjecture,
( ~ epred2_0
| epred11_0
| epred23_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_553,negated_conjecture,
( hskp7
| hskp6
| epred24_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_121]),c_0_189]) ).
cnf(c_0_554,negated_conjecture,
( hskp7
| hskp6
| epred24_0
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_121]),c_0_189]) ).
cnf(c_0_555,negated_conjecture,
( hskp7
| epred6_0
| epred24_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
cnf(c_0_556,negated_conjecture,
( ~ hskp3
| hskp7
| epred21_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_452]) ).
cnf(c_0_557,negated_conjecture,
( ~ hskp24
| hskp8
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_453]),c_0_345]),c_0_346]) ).
cnf(c_0_558,negated_conjecture,
( ~ hskp3
| epred7_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_454,c_0_455]) ).
cnf(c_0_559,negated_conjecture,
( ~ hskp15
| epred48_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_283]),c_0_426]),c_0_418]) ).
cnf(c_0_560,negated_conjecture,
( ~ hskp3
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_288]),c_0_280]),c_0_286]) ).
cnf(c_0_561,negated_conjecture,
( ~ hskp24
| epred6_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_562,negated_conjecture,
( hskp15
| hskp3
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_459,c_0_460]) ).
cnf(c_0_563,negated_conjecture,
( ~ hskp15
| c1_1(a153)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_426]),c_0_418]) ).
cnf(c_0_564,negated_conjecture,
( ~ hskp13
| epred42_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_245]),c_0_461]),c_0_246]) ).
cnf(c_0_565,negated_conjecture,
( ~ hskp12
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_334]),c_0_182]),c_0_183]) ).
cnf(c_0_566,negated_conjecture,
( ~ hskp28
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_425]),c_0_462]),c_0_463]) ).
cnf(c_0_567,negated_conjecture,
( ~ hskp7
| epred11_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_184,c_0_410]) ).
cnf(c_0_568,negated_conjecture,
( ~ hskp0
| epred2_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_464,c_0_411]) ).
cnf(c_0_569,negated_conjecture,
( hskp6
| epred2_0
| epred11_0
| epred20_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_465,c_0_466]) ).
cnf(c_0_570,negated_conjecture,
( ~ hskp0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_467]),c_0_300]),c_0_353]) ).
cnf(c_0_571,negated_conjecture,
( ~ hskp4
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_468]),c_0_469]),c_0_470]) ).
cnf(c_0_572,negated_conjecture,
( ~ hskp17
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_156]),c_0_402]),c_0_277]) ).
cnf(c_0_573,negated_conjecture,
( ~ hskp7
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_471]),c_0_298]),c_0_157]) ).
cnf(c_0_574,negated_conjecture,
( ~ hskp5
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_473]),c_0_474]),c_0_475]) ).
cnf(c_0_575,negated_conjecture,
( ~ hskp8
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_265]),c_0_434]),c_0_429]) ).
cnf(c_0_576,negated_conjecture,
( ~ hskp22
| epred6_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_477]),c_0_478]) ).
cnf(c_0_577,negated_conjecture,
( ~ hskp18
| epred25_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_441]),c_0_442]) ).
cnf(c_0_578,negated_conjecture,
( ~ epred42_0
| ~ epred45_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_479,c_0_320]),c_0_193]),c_0_170]) ).
cnf(c_0_579,negated_conjecture,
( ~ epred38_0
| ~ epred48_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_480,c_0_270]),c_0_214]),c_0_170]) ).
cnf(c_0_580,negated_conjecture,
( ~ epred16_0
| ~ epred28_0
| ~ epred47_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_481,c_0_318]),c_0_358]),c_0_190]) ).
cnf(c_0_581,negated_conjecture,
( ~ epred2_0
| ~ epred32_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_482,c_0_321]),c_0_195]),c_0_191]) ).
cnf(c_0_582,negated_conjecture,
( ~ epred2_0
| ~ epred34_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_483,c_0_202]),c_0_218]),c_0_195]) ).
cnf(c_0_583,negated_conjecture,
( ~ epred25_0
| ~ epred41_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_484,c_0_321]),c_0_193]),c_0_131]) ).
cnf(c_0_584,negated_conjecture,
( ~ epred8_0
| ~ epred11_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_485,c_0_322]),c_0_362]),c_0_133]) ).
cnf(c_0_585,negated_conjecture,
( ~ epred6_0
| ~ epred11_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_486,c_0_174]),c_0_133]),c_0_233]) ).
cnf(c_0_586,negated_conjecture,
( ~ epred4_0
| ~ epred6_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_487,c_0_202]),c_0_233]),c_0_364]) ).
cnf(c_0_587,negated_conjecture,
( ~ epred6_0
| ~ epred11_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_488,c_0_206]),c_0_133]),c_0_233]) ).
cnf(c_0_588,negated_conjecture,
( ~ epred31_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_489,c_0_323]),c_0_191]) ).
cnf(c_0_589,negated_conjecture,
( ~ epred23_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_490,c_0_330]),c_0_124]) ).
cnf(c_0_590,negated_conjecture,
( ~ epred24_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_491,c_0_127]),c_0_130]) ).
cnf(c_0_591,negated_conjecture,
( ~ epred27_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_492,c_0_210]),c_0_190]) ).
cnf(c_0_592,negated_conjecture,
( ~ epred25_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_493,c_0_213]),c_0_131]) ).
cnf(c_0_593,negated_conjecture,
( ~ epred24_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_494,c_0_127]),c_0_131]) ).
cnf(c_0_594,negated_conjecture,
( ~ epred22_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_495,c_0_342]),c_0_124]) ).
cnf(c_0_595,negated_conjecture,
( ~ epred14_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_496,c_0_257]),c_0_284]) ).
cnf(c_0_596,negated_conjecture,
( ~ epred12_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_497,c_0_217]),c_0_173]) ).
cnf(c_0_597,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_498,c_0_215]),c_0_358]) ).
cnf(c_0_598,negated_conjecture,
( ~ epred11_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_499,c_0_217]),c_0_133]) ).
cnf(c_0_599,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_500,c_0_224]),c_0_362]) ).
cnf(c_0_600,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_501,c_0_225]),c_0_233]) ).
cnf(c_0_601,negated_conjecture,
( ~ hskp16
| ~ c0_1(a154) ),
c_0_502 ).
cnf(c_0_602,negated_conjecture,
( ~ hskp21
| ~ c1_1(a170) ),
c_0_503 ).
cnf(c_0_603,plain,
$false,
inference(cdclpropres,[status(thm)],[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_435,c_0_544,c_0_437,c_0_545,c_0_546,c_0_547,c_0_548,c_0_549,c_0_550,c_0_551,c_0_552,c_0_253,c_0_553,c_0_554,c_0_166,c_0_555,c_0_451,c_0_556,c_0_189,c_0_557,c_0_445,c_0_558,c_0_559,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_454,c_0_565,c_0_566,c_0_567,c_0_410,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_184,c_0_573,c_0_438,c_0_450,c_0_574,c_0_575,c_0_403,c_0_576,c_0_577,c_0_436,c_0_328,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_353,c_0_286,c_0_281,c_0_164,c_0_157,c_0_155,c_0_476,c_0_169,c_0_183,c_0_246,c_0_456,c_0_601,c_0_277,c_0_275,c_0_327,c_0_602,c_0_478,c_0_414,c_0_300,c_0_434,c_0_461,c_0_418,c_0_199,c_0_463,c_0_292,c_0_182,c_0_426,c_0_273,c_0_144,c_0_280,c_0_168,c_0_326,c_0_462,c_0_293,c_0_146,c_0_248,c_0_121]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN499-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:03:48 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.27/4.60 % Version: 3.5.1
% 32.27/4.60 % Preprocessing class: FSLSSLSMSSSNFFN.
% 32.27/4.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.27/4.60 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 32.27/4.60 % Starting new_bool_3 with 300s (1) cores
% 32.27/4.60 % Starting new_bool_1 with 300s (1) cores
% 32.27/4.60 % Starting sh5l with 300s (1) cores
% 32.27/4.60 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2764983 completed with status 0
% 32.27/4.60 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 32.27/4.60 % Preprocessing class: FSLSSLSMSSSNFFN.
% 32.27/4.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.27/4.60 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 32.27/4.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 32.27/4.60 % No SInE strategy applied
% 32.27/4.60 % Search class: FGHNF-FSMM00-SFFFFFNN
% 32.27/4.60 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 32.27/4.60 % Starting SubtermCWHack with 151s (1) cores
% 32.27/4.60 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 32.27/4.60 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 32.27/4.61 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 32.27/4.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 32.27/4.61 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2764989 completed with status 0
% 32.27/4.61 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 32.27/4.61 % Preprocessing class: FSLSSLSMSSSNFFN.
% 32.27/4.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.27/4.61 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 32.27/4.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 32.27/4.61 % No SInE strategy applied
% 32.27/4.61 % Search class: FGHNF-FSMM00-SFFFFFNN
% 32.27/4.61 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 32.27/4.61 % Starting SubtermCWHack with 151s (1) cores
% 32.27/4.61 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 32.27/4.61 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 32.27/4.61 % Preprocessing time : 0.003 s
% 32.27/4.61 % SatCheck found unsatisfiable ground set
% 32.27/4.61
% 32.27/4.61 % Proof found!
% 32.27/4.61 % SZS status Unsatisfiable
% 32.27/4.61 % SZS output start CNFRefutation
% See solution above
% 32.27/4.61 % Parsed axioms : 204
% 32.27/4.61 % Removed by relevancy pruning/SinE : 0
% 32.27/4.61 % Initial clauses : 204
% 32.27/4.61 % Removed in clause preprocessing : 0
% 32.27/4.61 % Initial clauses in saturation : 204
% 32.27/4.61 % Processed clauses : 6750
% 32.27/4.61 % ...of these trivial : 0
% 32.27/4.61 % ...subsumed : 1750
% 32.27/4.61 % ...remaining for further processing : 5000
% 32.27/4.61 % Other redundant clauses eliminated : 0
% 32.27/4.61 % Clauses deleted for lack of memory : 0
% 32.27/4.61 % Backward-subsumed : 570
% 32.27/4.61 % Backward-rewritten : 68
% 32.27/4.61 % Generated clauses : 93091
% 32.27/4.61 % ...of the previous two non-redundant : 87961
% 32.27/4.61 % ...aggressively subsumed : 0
% 32.27/4.61 % Contextual simplify-reflections : 457
% 32.27/4.61 % Paramodulations : 93003
% 32.27/4.61 % Factorizations : 0
% 32.27/4.61 % NegExts : 0
% 32.27/4.61 % Equation resolutions : 0
% 32.27/4.61 % Disequality decompositions : 0
% 32.27/4.61 % Total rewrite steps : 97
% 32.27/4.61 % ...of those cached : 96
% 32.27/4.61 % Propositional unsat checks : 1
% 32.27/4.61 % Propositional check models : 0
% 32.27/4.61 % Propositional check unsatisfiable : 1
% 32.27/4.61 % Propositional clauses : 85319
% 32.27/4.61 % Propositional clauses after purity: 84932
% 32.27/4.61 % Propositional unsat core size : 149
% 32.27/4.61 % Propositional preprocessing time : 0.000
% 32.27/4.61 % Propositional encoding time : 0.061
% 32.27/4.61 % Propositional solver time : 0.224
% 32.27/4.61 % Success case prop preproc time : 0.000
% 32.27/4.61 % Success case prop encoding time : 0.061
% 32.27/4.61 % Success case prop solver time : 0.224
% 32.27/4.61 % Current number of processed clauses : 4325
% 32.27/4.61 % Positive orientable unit clauses : 1
% 32.27/4.61 % Positive unorientable unit clauses: 0
% 32.27/4.61 % Negative unit clauses : 0
% 32.27/4.61 % Non-unit-clauses : 4324
% 32.27/4.61 % Current number of unprocessed clauses: 80994
% 32.27/4.61 % ...number of literals in the above : 574577
% 32.27/4.61 % Current number of archived formulas : 0
% 32.27/4.61 % Current number of archived clauses : 638
% 32.27/4.61 % Clause-clause subsumption calls (NU) : 7183494
% 32.27/4.61 % Rec. Clause-clause subsumption calls : 171847
% 32.27/4.61 % Non-unit clause-clause subsumptions : 2855
% 32.27/4.61 % Unit Clause-clause subsumption calls : 13
% 32.27/4.61 % Rewrite failures with RHS unbound : 0
% 32.27/4.61 % BW rewrite match attempts : 1
% 32.27/4.61 % BW rewrite match successes : 1
% 32.27/4.61 % Condensation attempts : 6750
% 32.27/4.61 % Condensation successes : 0
% 32.27/4.61 % Termbank termtop insertions : 913901
% 32.27/4.61 % Search garbage collected termcells : 522
% 32.27/4.61
% 32.27/4.61 % -------------------------------------------------
% 32.27/4.61 % User time : 3.962 s
% 32.27/4.61 % System time : 0.146 s
% 32.27/4.61 % Total time : 4.109 s
% 32.27/4.61 % Maximum resident set size: 4052 pages
% 32.27/4.61
% 32.27/4.61 % -------------------------------------------------
% 32.27/4.61 % User time : 19.660 s
% 32.27/4.61 % System time : 0.530 s
% 32.27/4.61 % Total time : 20.190 s
% 32.27/4.61 % Maximum resident set size: 4864 pages
% 32.27/4.61 % E exiting
%------------------------------------------------------------------------------