%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN471-1 : 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 : n003.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 03:24:58 PM UTC 2026
% Result : Unsatisfiable 11.46s 1.91s
% Output : CNFRefutation 11.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 177
% Syntax : Number of formulae : 930 ( 2 unt; 0 def)
% Number of atoms : 3529 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 4189 (1590 ~;2556 |; 0 &)
% ( 43 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 77 ( 76 usr; 73 prp; 0-1 aty)
% Number of functors : 28 ( 28 usr; 28 con; 0-0 aty)
% Number of variables : 351 ( 0 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause24,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
cnf(clause9,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
cnf(clause1,negated_conjecture,
( hskp24
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause88,negated_conjecture,
( ~ hskp1
| c1_1(a594) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(clause87,negated_conjecture,
( ~ hskp1
| c0_1(a594) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
cnf(clause135,negated_conjecture,
( ~ hskp1
| ~ c3_1(a594) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
cnf(clause60,negated_conjecture,
( ~ hskp21
| c3_1(a631) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
cnf(clause59,negated_conjecture,
( ~ hskp21
| c0_1(a631) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(clause103,negated_conjecture,
( ~ hskp21
| ~ c1_1(a631) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
cnf(clause94,negated_conjecture,
( ~ hskp26
| ~ c1_1(a667) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
cnf(clause93,negated_conjecture,
( ~ hskp26
| ~ c0_1(a667) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
cnf(clause95,negated_conjecture,
( ~ hskp26
| ~ c3_1(a667) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(clause49,negated_conjecture,
( ~ hskp29
| c1_1(a618) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause48,negated_conjecture,
( ~ hskp29
| c0_1(a618) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause50,negated_conjecture,
( ~ hskp29
| c3_1(a618) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause37,negated_conjecture,
( hskp4
| hskp21
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(clause84,negated_conjecture,
( ~ hskp3
| c1_1(a597) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
cnf(clause85,negated_conjecture,
( ~ hskp3
| c2_1(a597) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
cnf(clause132,negated_conjecture,
( ~ hskp3
| ~ c3_1(a597) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
cnf(clause46,negated_conjecture,
( ~ hskp30
| c1_1(a637) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause45,negated_conjecture,
( ~ hskp30
| c0_1(a637) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause47,negated_conjecture,
( ~ hskp30
| c2_1(a637) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause147,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
cnf(clause64,negated_conjecture,
( ~ hskp18
| c3_1(a625) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause107,negated_conjecture,
( ~ hskp18
| ~ c0_1(a625) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause108,negated_conjecture,
( ~ hskp18
| ~ c1_1(a625) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause130,negated_conjecture,
( ~ hskp4
| ~ c1_1(a598) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
cnf(clause129,negated_conjecture,
( ~ hskp4
| ~ c0_1(a598) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
cnf(clause131,negated_conjecture,
( ~ hskp4
| ~ c2_1(a598) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
cnf(clause34,negated_conjecture,
( hskp26
| hskp3
| hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause70,negated_conjecture,
( ~ hskp14
| c2_1(a615) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
cnf(clause69,negated_conjecture,
( ~ hskp14
| c0_1(a615) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
cnf(clause114,negated_conjecture,
( ~ hskp14
| ~ c1_1(a615) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
cnf(clause75,negated_conjecture,
( ~ hskp10
| c2_1(a605) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause74,negated_conjecture,
( ~ hskp10
| c0_1(a605) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause121,negated_conjecture,
( ~ hskp10
| ~ c3_1(a605) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
cnf(clause174,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp29
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(clause175,negated_conjecture,
( ~ ndr1_0
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
cnf(clause180,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
cnf(clause72,negated_conjecture,
( ~ hskp12
| c2_1(a609) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause118,negated_conjecture,
( ~ hskp12
| ~ c3_1(a609) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause117,negated_conjecture,
( ~ hskp12
| ~ c1_1(a609) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause184,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp29
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
cnf(clause40,negated_conjecture,
( hskp18
| hskp12
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause169,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
cnf(clause167,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause185,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause148,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp25
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
cnf(clause92,negated_conjecture,
( ~ hskp27
| ~ c3_1(a690) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
cnf(clause91,negated_conjecture,
( ~ hskp27
| ~ c2_1(a690) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
cnf(clause179,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| c3_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(clause54,negated_conjecture,
( ~ hskp25
| c1_1(a656) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
cnf(clause96,negated_conjecture,
( ~ hskp25
| ~ c0_1(a656) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause116,negated_conjecture,
( ~ hskp13
| ~ c3_1(a614) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
cnf(clause115,negated_conjecture,
( ~ hskp13
| ~ c2_1(a614) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
cnf(clause71,negated_conjecture,
( ~ hskp13
| c1_1(a614) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause57,negated_conjecture,
( ~ hskp24
| c3_1(a651) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
cnf(clause97,negated_conjecture,
( ~ hskp24
| ~ c2_1(a651) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
cnf(clause56,negated_conjecture,
( ~ hskp24
| c1_1(a651) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
cnf(clause76,negated_conjecture,
( ~ hskp9
| c1_1(a604) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(clause77,negated_conjecture,
( ~ hskp9
| c2_1(a604) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(clause122,negated_conjecture,
( ~ hskp9
| ~ c0_1(a604) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(clause195,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
cnf(clause90,negated_conjecture,
( ~ hskp27
| ~ c1_1(a690) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
cnf(clause44,negated_conjecture,
( ~ hskp31
| c3_1(a672) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause42,negated_conjecture,
( ~ hskp31
| c0_1(a672) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause43,negated_conjecture,
( ~ hskp31
| c2_1(a672) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause41,negated_conjecture,
( hskp27
| hskp13
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
cnf(clause55,negated_conjecture,
( ~ hskp25
| c3_1(a656) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
cnf(clause51,negated_conjecture,
( ~ hskp28
| c1_1(a595) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause52,negated_conjecture,
( ~ hskp28
| c2_1(a595) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
cnf(clause53,negated_conjecture,
( ~ hskp28
| c3_1(a595) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
cnf(clause36,negated_conjecture,
( hskp24
| hskp31
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(clause58,negated_conjecture,
( ~ hskp23
| c3_1(a645) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
cnf(clause98,negated_conjecture,
( ~ hskp23
| ~ c0_1(a645) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause188,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
cnf(clause193,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
cnf(clause83,negated_conjecture,
( ~ hskp5
| c3_1(a599) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
cnf(clause128,negated_conjecture,
( ~ hskp5
| ~ c1_1(a599) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
cnf(clause82,negated_conjecture,
( ~ hskp5
| c2_1(a599) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause99,negated_conjecture,
( ~ hskp23
| ~ c2_1(a645) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause170,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp28
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
cnf(clause189,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause194,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
cnf(clause62,negated_conjecture,
( ~ hskp20
| c3_1(a630) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause61,negated_conjecture,
( ~ hskp20
| c0_1(a630) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
cnf(clause104,negated_conjecture,
( ~ hskp20
| ~ c2_1(a630) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
cnf(clause39,negated_conjecture,
( hskp12
| hskp9
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause134,negated_conjecture,
( ~ hskp2
| ~ c1_1(a596) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(clause86,negated_conjecture,
( ~ hskp2
| c2_1(a596) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
cnf(clause133,negated_conjecture,
( ~ hskp2
| ~ c0_1(a596) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause196,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
cnf(clause35,negated_conjecture,
( hskp23
| hskp25
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
cnf(clause137,negated_conjecture,
( ~ hskp0
| ~ c3_1(a593) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
cnf(clause89,negated_conjecture,
( ~ hskp0
| c2_1(a593) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause136,negated_conjecture,
( ~ hskp0
| ~ c0_1(a593) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
cnf(clause200,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
cnf(clause199,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
cnf(clause152,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| hskp13
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
cnf(clause140,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp4
| hskp3
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause143,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp7
| hskp28
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
cnf(clause145,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp7
| hskp19
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
cnf(clause156,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp6
| hskp29
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
cnf(clause158,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp28
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
cnf(clause157,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp5
| hskp10
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
cnf(clause81,negated_conjecture,
( ~ hskp6
| c3_1(a600) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause127,negated_conjecture,
( ~ hskp6
| ~ c2_1(a600) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
cnf(clause126,negated_conjecture,
( ~ hskp6
| ~ c1_1(a600) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(clause176,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp9
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
cnf(clause192,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(clause191,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause190,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X2)
| c0_1(X2)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
cnf(clause80,negated_conjecture,
( ~ hskp7
| c3_1(a602) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause106,negated_conjecture,
( ~ hskp19
| ~ c3_1(a627) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(clause63,negated_conjecture,
( ~ hskp19
| c0_1(a627) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause105,negated_conjecture,
( ~ hskp19
| ~ c2_1(a627) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause66,negated_conjecture,
( ~ hskp17
| c1_1(a624) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(clause65,negated_conjecture,
( ~ hskp17
| c0_1(a624) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
cnf(clause109,negated_conjecture,
( ~ hskp17
| ~ c2_1(a624) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause38,negated_conjecture,
( hskp2
| hskp28
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(clause73,negated_conjecture,
( ~ hskp11
| c1_1(a608) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause119,negated_conjecture,
( ~ hskp11
| ~ c0_1(a608) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause120,negated_conjecture,
( ~ hskp11
| ~ c3_1(a608) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause79,negated_conjecture,
( ~ hskp7
| c2_1(a602) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause125,negated_conjecture,
( ~ hskp7
| ~ c0_1(a602) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause198,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
cnf(clause187,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp17
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
cnf(clause186,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp24
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
cnf(clause177,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
cnf(clause178,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp13
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
cnf(clause168,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
cnf(clause173,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp20
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
cnf(clause164,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
cnf(clause166,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause24]) ).
cnf(c_0_135,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause9]) ).
cnf(c_0_136,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
c_0_134 ).
cnf(c_0_137,negated_conjecture,
( hskp24
| hskp9 ),
clause1 ).
cnf(c_0_138,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
c_0_135 ).
fof(c_0_139,plain,
( ~ epred19_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_140,negated_conjecture,
( ~ hskp1
| c1_1(a594) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_141,negated_conjecture,
( ~ hskp1
| c0_1(a594) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
fof(c_0_142,plain,
( ~ epred9_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| hskp29 ) ),
introduced(definition) ).
cnf(c_0_143,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp1
| ~ c3_1(a594) ),
inference(fof_simplification,[status(thm)],[clause135]) ).
fof(c_0_145,plain,
( ~ epred20_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp21
| c3_1(a631) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_147,negated_conjecture,
( ~ hskp21
| c0_1(a631) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_148,negated_conjecture,
( ~ hskp21
| ~ c1_1(a631) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp26
| ~ c1_1(a667) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
fof(c_0_150,plain,
( ~ epred22_0
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp26
| ~ c0_1(a667) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_152,negated_conjecture,
( ~ hskp26
| ~ c3_1(a667) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
fof(c_0_153,plain,
( ~ epred2_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_154,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| epred19_0 ),
inference(split_equiv,[status(thm)],[c_0_139]) ).
cnf(c_0_155,negated_conjecture,
( ~ hskp1
| c1_1(a594) ),
c_0_140 ).
cnf(c_0_156,negated_conjecture,
( ~ hskp1
| c0_1(a594) ),
c_0_141 ).
cnf(c_0_157,negated_conjecture,
( ~ c0_1(X1)
| hskp29
| c2_1(X1)
| c3_1(X1)
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_142]),c_0_143])]) ).
cnf(c_0_158,negated_conjecture,
( ~ hskp1
| ~ c3_1(a594) ),
c_0_144 ).
cnf(c_0_159,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp1
| c1_1(X1)
| epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_145]),c_0_143])]) ).
cnf(c_0_160,negated_conjecture,
( ~ hskp21
| c3_1(a631) ),
c_0_146 ).
cnf(c_0_161,negated_conjecture,
( ~ hskp21
| c0_1(a631) ),
c_0_147 ).
cnf(c_0_162,negated_conjecture,
( ~ hskp21
| ~ c1_1(a631) ),
c_0_148 ).
fof(c_0_163,plain,
( ~ epred10_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_164,negated_conjecture,
( ~ hskp26
| ~ c1_1(a667) ),
c_0_149 ).
cnf(c_0_165,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred22_0 ),
inference(split_equiv,[status(thm)],[c_0_150]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp26
| ~ c0_1(a667) ),
c_0_151 ).
cnf(c_0_167,negated_conjecture,
( ~ hskp26
| ~ c3_1(a667) ),
c_0_152 ).
cnf(c_0_168,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_153]) ).
fof(c_0_169,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_170,plain,
( ~ epred35_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_171,plain,
( ~ epred29_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp29
| c1_1(a618) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_173,negated_conjecture,
( ~ hskp29
| c0_1(a618) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_174,negated_conjecture,
( ~ hskp29
| c3_1(a618) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp1
| ~ c2_1(a594)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp1
| hskp29
| c2_1(a594)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_156]),c_0_158]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp21
| hskp1
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_162]) ).
cnf(c_0_178,negated_conjecture,
( hskp4
| hskp21
| hskp1 ),
clause37 ).
cnf(c_0_179,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_163]) ).
fof(c_0_180,plain,
( ~ epred36_0
<=> ! [X3] :
( c1_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_181,negated_conjecture,
( ~ hskp3
| c1_1(a597) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp3
| c2_1(a597) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_183,negated_conjecture,
( ~ hskp3
| ~ c3_1(a597) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
cnf(c_0_184,negated_conjecture,
( ~ hskp30
| c1_1(a637) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp30
| c0_1(a637) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp30
| c2_1(a637) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_187,negated_conjecture,
( ~ hskp26
| ~ c2_1(a667)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp26
| c2_1(a667)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_166]) ).
cnf(c_0_189,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_169]) ).
cnf(c_0_190,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_143])]) ).
cnf(c_0_191,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause147]) ).
fof(c_0_192,plain,
( ~ epred43_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_193,negated_conjecture,
( ~ hskp18
| c3_1(a625) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp18
| ~ c0_1(a625) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
cnf(c_0_195,negated_conjecture,
( ~ hskp18
| ~ c1_1(a625) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
cnf(c_0_196,negated_conjecture,
( ~ hskp4
| ~ c1_1(a598) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp4
| ~ c0_1(a598) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
cnf(c_0_198,negated_conjecture,
( ~ hskp4
| ~ c2_1(a598) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
cnf(c_0_199,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred29_0 ),
inference(split_equiv,[status(thm)],[c_0_171]) ).
cnf(c_0_200,negated_conjecture,
( ~ hskp29
| c1_1(a618) ),
c_0_172 ).
cnf(c_0_201,negated_conjecture,
( ~ hskp29
| c0_1(a618) ),
c_0_173 ).
cnf(c_0_202,negated_conjecture,
( ~ hskp29
| c3_1(a618) ),
c_0_174 ).
cnf(c_0_203,negated_conjecture,
( ~ hskp1
| hskp29
| epred9_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_204,negated_conjecture,
( hskp4
| hskp1
| epred20_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_205,negated_conjecture,
( ~ hskp1
| c2_1(a594)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_155]),c_0_156]) ).
cnf(c_0_206,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred36_0 ),
inference(split_equiv,[status(thm)],[c_0_180]) ).
cnf(c_0_207,negated_conjecture,
( ~ hskp3
| c1_1(a597) ),
c_0_181 ).
cnf(c_0_208,negated_conjecture,
( ~ hskp3
| c2_1(a597) ),
c_0_182 ).
cnf(c_0_209,negated_conjecture,
( ~ hskp3
| ~ c3_1(a597) ),
c_0_183 ).
cnf(c_0_210,negated_conjecture,
( ~ hskp30
| c1_1(a637) ),
c_0_184 ).
cnf(c_0_211,negated_conjecture,
( ~ hskp30
| c0_1(a637) ),
c_0_185 ).
cnf(c_0_212,negated_conjecture,
( ~ hskp30
| c2_1(a637) ),
c_0_186 ).
cnf(c_0_213,negated_conjecture,
( ~ hskp26
| epred2_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_214,negated_conjecture,
( hskp26
| hskp3
| hskp30 ),
clause34 ).
cnf(c_0_215,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| epred21_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
fof(c_0_216,plain,
( ~ epred17_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_217,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_218,negated_conjecture,
( ~ hskp14
| c2_1(a615) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
cnf(c_0_219,negated_conjecture,
( ~ hskp14
| c0_1(a615) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
cnf(c_0_220,negated_conjecture,
( ~ hskp14
| ~ c1_1(a615) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_221,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X1) ),
c_0_191 ).
cnf(c_0_222,negated_conjecture,
( ~ hskp10
| c2_1(a605) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp10
| c0_1(a605) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_224,negated_conjecture,
( ~ hskp10
| ~ c3_1(a605) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
cnf(c_0_225,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred43_0 ),
inference(split_equiv,[status(thm)],[c_0_192]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp18
| c3_1(a625) ),
c_0_193 ).
cnf(c_0_227,negated_conjecture,
( ~ hskp18
| ~ c0_1(a625) ),
c_0_194 ).
cnf(c_0_228,negated_conjecture,
( ~ hskp18
| ~ c1_1(a625) ),
c_0_195 ).
cnf(c_0_229,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp29
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_230,negated_conjecture,
( ~ hskp4
| ~ c1_1(a598) ),
c_0_196 ).
cnf(c_0_231,negated_conjecture,
( ~ hskp4
| ~ c0_1(a598) ),
c_0_197 ).
cnf(c_0_232,negated_conjecture,
( ~ hskp4
| ~ c2_1(a598) ),
c_0_198 ).
cnf(c_0_233,negated_conjecture,
( ~ hskp29
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_202]) ).
cnf(c_0_234,negated_conjecture,
( hskp29
| hskp4
| epred9_0
| epred19_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp1
| epred10_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_175,c_0_205]) ).
cnf(c_0_236,negated_conjecture,
( ~ hskp26
| c2_1(a667)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_206]),c_0_166]) ).
cnf(c_0_237,negated_conjecture,
( ~ ndr1_0
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause175]) ).
cnf(c_0_238,negated_conjecture,
( ~ hskp3
| ~ c0_1(a597)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_207]),c_0_208]) ).
cnf(c_0_239,negated_conjecture,
( ~ hskp3
| c0_1(a597)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_207]),c_0_209]) ).
cnf(c_0_240,negated_conjecture,
( ~ hskp30
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_210]),c_0_211]),c_0_212]) ).
cnf(c_0_241,negated_conjecture,
( hskp30
| hskp3
| epred2_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp26
| epred21_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_215]),c_0_166]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp3
| c0_1(a597)
| epred21_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_215]) ).
cnf(c_0_244,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause180]) ).
cnf(c_0_245,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred17_0 ),
inference(split_equiv,[status(thm)],[c_0_216]) ).
fof(c_0_246,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| hskp18 ) ),
introduced(definition) ).
cnf(c_0_247,negated_conjecture,
( ~ hskp12
| c2_1(a609) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp12
| ~ c3_1(a609) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp12
| ~ c1_1(a609) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_250,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp12
| c1_1(X1)
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_217]),c_0_143])]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp14
| c2_1(a615) ),
c_0_218 ).
cnf(c_0_252,negated_conjecture,
( ~ hskp14
| c0_1(a615) ),
c_0_219 ).
cnf(c_0_253,negated_conjecture,
( ~ hskp14
| ~ c1_1(a615) ),
c_0_220 ).
cnf(c_0_254,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp14
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_143])]) ).
cnf(c_0_255,negated_conjecture,
( ~ hskp10
| c2_1(a605) ),
c_0_222 ).
cnf(c_0_256,negated_conjecture,
( ~ hskp10
| c0_1(a605) ),
c_0_223 ).
cnf(c_0_257,negated_conjecture,
( ~ hskp10
| ~ c3_1(a605) ),
c_0_224 ).
cnf(c_0_258,negated_conjecture,
( ~ hskp18
| ~ c2_1(a625)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp18
| c2_1(a625)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_206]),c_0_227]) ).
cnf(c_0_260,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp29
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_261,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp29
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
c_0_229 ).
cnf(c_0_262,negated_conjecture,
( ~ hskp4
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_206]),c_0_231]),c_0_232]) ).
cnf(c_0_263,negated_conjecture,
( hskp4
| epred9_0
| epred19_0
| epred20_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_264,negated_conjecture,
( hskp4
| epred10_0
| epred19_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_204]) ).
cnf(c_0_265,negated_conjecture,
( ~ hskp26
| epred22_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_236]) ).
cnf(c_0_266,negated_conjecture,
( ~ ndr1_0
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
c_0_237 ).
cnf(c_0_267,negated_conjecture,
( ~ hskp3
| epred19_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_268,negated_conjecture,
( hskp3
| epred2_0
| epred19_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_269,negated_conjecture,
( hskp30
| hskp3
| epred21_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_214]) ).
cnf(c_0_270,negated_conjecture,
( ~ hskp3
| epred19_0
| epred21_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_238,c_0_243]) ).
cnf(c_0_271,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c2_1(X1) ),
c_0_244 ).
fof(c_0_272,plain,
( ~ epred6_0
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp29
| ~ c2_1(a618)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_200]),c_0_201]) ).
cnf(c_0_274,negated_conjecture,
( ~ hskp29
| c2_1(a618)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_202]),c_0_201]) ).
cnf(c_0_275,negated_conjecture,
( ~ c2_1(X1)
| hskp18
| c3_1(X1)
| c1_1(X1)
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_246]),c_0_143])]) ).
cnf(c_0_276,negated_conjecture,
( ~ hskp12
| c2_1(a609) ),
c_0_247 ).
cnf(c_0_277,negated_conjecture,
( ~ hskp12
| ~ c3_1(a609) ),
c_0_248 ).
cnf(c_0_278,negated_conjecture,
( ~ hskp12
| ~ c1_1(a609) ),
c_0_249 ).
cnf(c_0_279,negated_conjecture,
( ~ hskp14
| hskp12
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]),c_0_253]) ).
cnf(c_0_280,negated_conjecture,
( ~ hskp10
| hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_257]) ).
cnf(c_0_281,negated_conjecture,
( ~ hskp18
| epred36_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_282,negated_conjecture,
( hskp18
| hskp12
| hskp10 ),
clause40 ).
cnf(c_0_283,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause169]) ).
fof(c_0_284,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X2)
| hskp29 ) ),
introduced(definition) ).
cnf(c_0_285,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp29
| c0_1(X2) ),
c_0_260 ).
cnf(c_0_286,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_261,c_0_142]),c_0_163]) ).
cnf(c_0_287,negated_conjecture,
( epred9_0
| epred19_0
| epred20_0
| epred29_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_288,negated_conjecture,
( epred10_0
| epred19_0
| epred20_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_264]) ).
cnf(c_0_289,negated_conjecture,
( hskp30
| hskp3
| epred22_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_265,c_0_214]) ).
cnf(c_0_290,negated_conjecture,
( ~ epred2_0
| ~ epred35_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_266,c_0_170]),c_0_180]),c_0_153]) ).
cnf(c_0_291,negated_conjecture,
( epred2_0
| epred19_0
| epred21_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_292,negated_conjecture,
( epred19_0
| epred21_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_269]),c_0_270]) ).
cnf(c_0_293,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_294,negated_conjecture,
( ~ epred10_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_271,c_0_217]),c_0_163]) ).
cnf(c_0_295,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_296,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp25
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause148]) ).
cnf(c_0_297,negated_conjecture,
( ~ hskp27
| ~ c3_1(a690) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
fof(c_0_298,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_299,negated_conjecture,
( ~ hskp27
| ~ c2_1(a690) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_300,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_272]) ).
cnf(c_0_301,negated_conjecture,
( ~ hskp29
| epred17_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_302,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| c3_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
cnf(c_0_303,negated_conjecture,
( ~ hskp12
| hskp18
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]),c_0_278]) ).
cnf(c_0_304,negated_conjecture,
( ~ hskp10
| hskp12
| epred32_0 ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_305,negated_conjecture,
( hskp12
| hskp10
| epred36_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_306,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_283 ).
cnf(c_0_307,negated_conjecture,
( ~ epred19_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_285,c_0_284]),c_0_139]) ).
cnf(c_0_308,negated_conjecture,
( epred19_0
| epred20_0
| epred29_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]) ).
cnf(c_0_309,negated_conjecture,
( hskp3
| epred19_0
| epred22_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_289]) ).
cnf(c_0_310,negated_conjecture,
( ~ epred36_0
| epred19_0
| epred21_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]) ).
cnf(c_0_311,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_293 ).
cnf(c_0_312,negated_conjecture,
( ~ epred32_0
| epred19_0
| epred20_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_294,c_0_288]) ).
fof(c_0_313,plain,
( ~ epred39_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| hskp18 ) ),
introduced(definition) ).
cnf(c_0_314,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| c2_1(X2) ),
c_0_295 ).
fof(c_0_315,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_316,negated_conjecture,
( ~ hskp25
| c1_1(a656) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_317,negated_conjecture,
( ~ hskp25
| ~ c0_1(a656) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_318,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp25
| c3_1(X1) ),
c_0_296 ).
cnf(c_0_319,negated_conjecture,
( ~ hskp13
| ~ c3_1(a614) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp13
| ~ c2_1(a614) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_321,negated_conjecture,
( ~ hskp27
| ~ c3_1(a690) ),
c_0_297 ).
cnf(c_0_322,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_298]) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp27
| ~ c2_1(a690) ),
c_0_299 ).
cnf(c_0_324,negated_conjecture,
( ~ hskp13
| c1_1(a614) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_325,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| epred6_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_300,c_0_206]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp24
| c3_1(a651) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp24
| ~ c2_1(a651) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
fof(c_0_328,plain,
( ~ epred33_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp10 ) ),
introduced(definition) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp24
| c1_1(a651) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp9
| c1_1(a604) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp9
| c2_1(a604) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp9
| ~ c0_1(a604) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
fof(c_0_333,plain,
( ~ epred45_0
<=> ! [X3] :
( c1_1(X3)
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_334,plain,
( ~ epred42_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_335,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause195]) ).
cnf(c_0_336,negated_conjecture,
( hskp4
| epred9_0
| epred17_0
| epred19_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_234]) ).
cnf(c_0_337,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| c3_1(X2)
| c1_1(X2) ),
c_0_302 ).
cnf(c_0_338,negated_conjecture,
( ~ hskp12
| epred28_0
| epred36_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_303]) ).
cnf(c_0_339,negated_conjecture,
( hskp12
| epred32_0
| epred36_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_340,negated_conjecture,
( ~ epred20_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_306,c_0_145]),c_0_169]) ).
cnf(c_0_341,negated_conjecture,
( ~ epred38_0
| epred20_0
| epred29_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_342,negated_conjecture,
( epred19_0
| epred21_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_309]),c_0_310]) ).
cnf(c_0_343,negated_conjecture,
( ~ epred20_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_311,c_0_145]),c_0_150]) ).
cnf(c_0_344,negated_conjecture,
( ~ epred32_0
| ~ epred38_0
| epred20_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_312]) ).
cnf(c_0_345,negated_conjecture,
( ~ epred19_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_314,c_0_313]),c_0_139]) ).
cnf(c_0_346,negated_conjecture,
( ~ hskp27
| ~ c1_1(a690) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
cnf(c_0_347,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred31_0 ),
inference(split_equiv,[status(thm)],[c_0_315]) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp25
| c1_1(a656) ),
c_0_316 ).
cnf(c_0_349,negated_conjecture,
( ~ hskp25
| ~ c0_1(a656) ),
c_0_317 ).
cnf(c_0_350,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp25
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_143])]) ).
cnf(c_0_351,negated_conjecture,
( ~ hskp13
| ~ c3_1(a614) ),
c_0_319 ).
cnf(c_0_352,negated_conjecture,
( ~ hskp13
| ~ c2_1(a614) ),
c_0_320 ).
cnf(c_0_353,negated_conjecture,
( ~ hskp27
| ~ c0_1(a690)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_323]) ).
cnf(c_0_354,negated_conjecture,
( ~ hskp27
| c0_1(a690)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_168]),c_0_323]) ).
cnf(c_0_355,negated_conjecture,
( ~ hskp13
| c1_1(a614) ),
c_0_324 ).
cnf(c_0_356,negated_conjecture,
( ~ hskp27
| c0_1(a690)
| epred6_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_325]) ).
fof(c_0_357,plain,
( ~ epred11_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp28 ) ),
introduced(definition) ).
fof(c_0_358,plain,
( ~ epred24_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp31
| c3_1(a672) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp31
| c0_1(a672) ),
inference(fof_simplification,[status(thm)],[clause42]) ).
cnf(c_0_361,negated_conjecture,
( ~ hskp31
| c2_1(a672) ),
inference(fof_simplification,[status(thm)],[clause43]) ).
fof(c_0_362,plain,
( ~ epred8_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_363,plain,
( ~ epred46_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_364,negated_conjecture,
( ~ hskp24
| c3_1(a651) ),
c_0_326 ).
cnf(c_0_365,negated_conjecture,
( ~ hskp24
| ~ c2_1(a651) ),
c_0_327 ).
cnf(c_0_366,negated_conjecture,
( ~ c1_1(X1)
| hskp10
| c0_1(X1)
| c2_1(X1)
| epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_328]),c_0_143])]) ).
cnf(c_0_367,negated_conjecture,
( ~ hskp24
| c1_1(a651) ),
c_0_329 ).
cnf(c_0_368,negated_conjecture,
( ~ hskp9
| c1_1(a604) ),
c_0_330 ).
cnf(c_0_369,negated_conjecture,
( ~ hskp9
| c2_1(a604) ),
c_0_331 ).
cnf(c_0_370,negated_conjecture,
( ~ hskp9
| ~ c0_1(a604) ),
c_0_332 ).
cnf(c_0_371,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred45_0 ),
inference(split_equiv,[status(thm)],[c_0_333]) ).
cnf(c_0_372,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_334]),c_0_143])]) ).
cnf(c_0_373,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c2_1(X1) ),
c_0_335 ).
cnf(c_0_374,negated_conjecture,
( epred9_0
| epred17_0
| epred19_0
| epred20_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_336]) ).
cnf(c_0_375,negated_conjecture,
( ~ epred28_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_337,c_0_246]),c_0_171]) ).
cnf(c_0_376,negated_conjecture,
( epred28_0
| epred32_0
| epred36_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_377,negated_conjecture,
( ~ epred21_0
| ~ epred38_0
| epred29_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_378,negated_conjecture,
( ~ epred38_0
| epred21_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_342]) ).
cnf(c_0_379,negated_conjecture,
( ~ epred22_0
| ~ epred38_0
| epred29_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_341]) ).
cnf(c_0_380,negated_conjecture,
( ~ epred21_0
| ~ epred32_0
| ~ epred38_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_344]) ).
cnf(c_0_381,negated_conjecture,
( ~ epred22_0
| ~ epred32_0
| ~ epred38_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
fof(c_0_382,plain,
( ~ epred23_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp9 ) ),
introduced(definition) ).
cnf(c_0_383,negated_conjecture,
( ~ epred39_0
| epred20_0
| epred29_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_345,c_0_308]) ).
cnf(c_0_384,negated_conjecture,
( ~ epred32_0
| ~ epred39_0
| epred20_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_345,c_0_312]) ).
cnf(c_0_385,negated_conjecture,
( ~ hskp27
| ~ c1_1(a690) ),
c_0_346 ).
cnf(c_0_386,negated_conjecture,
( ~ hskp25
| ~ c2_1(a656)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_349]) ).
cnf(c_0_387,negated_conjecture,
( ~ hskp25
| c2_1(a656)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_348]),c_0_349]) ).
cnf(c_0_388,negated_conjecture,
( ~ hskp3
| ~ c0_1(a597)
| hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_208]),c_0_209]) ).
cnf(c_0_389,negated_conjecture,
( ~ hskp3
| c0_1(a597)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_207]),c_0_208]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp13
| ~ c0_1(a614)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_322]),c_0_352]) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp13
| c0_1(a614)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_168]),c_0_352]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp27
| epred2_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_353,c_0_354]) ).
cnf(c_0_393,negated_conjecture,
( hskp27
| hskp13
| hskp3 ),
clause41 ).
cnf(c_0_394,negated_conjecture,
( ~ hskp13
| c0_1(a614)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_355]),c_0_352]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp27
| epred6_0
| epred14_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_353,c_0_356]) ).
cnf(c_0_396,negated_conjecture,
( ~ c1_1(X1)
| hskp28
| c0_1(X1)
| c3_1(X1)
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_357]),c_0_143])]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp26
| epred35_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_190]),c_0_166]),c_0_167]) ).
fof(c_0_398,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_399,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred24_0 ),
inference(split_equiv,[status(thm)],[c_0_358]) ).
cnf(c_0_400,negated_conjecture,
( ~ hskp31
| c3_1(a672) ),
c_0_359 ).
cnf(c_0_401,negated_conjecture,
( ~ hskp31
| c0_1(a672) ),
c_0_360 ).
cnf(c_0_402,negated_conjecture,
( ~ hskp31
| c2_1(a672) ),
c_0_361 ).
fof(c_0_403,plain,
( ~ epred52_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_404,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_362]) ).
fof(c_0_405,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_406,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred46_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_363]),c_0_143])]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp24
| ~ c0_1(a651)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_364]),c_0_365]) ).
cnf(c_0_408,negated_conjecture,
( ~ hskp24
| hskp10
| c0_1(a651)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_365]) ).
cnf(c_0_409,negated_conjecture,
( ~ hskp9
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_368]),c_0_369]),c_0_370]) ).
cnf(c_0_410,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| epred21_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_371]) ).
fof(c_0_411,plain,
( ~ epred47_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp18
| epred42_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_372]),c_0_226]),c_0_227]) ).
cnf(c_0_413,negated_conjecture,
( ~ epred17_0
| ~ epred42_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_373,c_0_334]),c_0_216]),c_0_192]) ).
cnf(c_0_414,negated_conjecture,
( epred17_0
| epred19_0
| epred20_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_374]),c_0_288]) ).
cnf(c_0_415,negated_conjecture,
( ~ epred29_0
| epred32_0
| epred36_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_375,c_0_376]) ).
cnf(c_0_416,negated_conjecture,
( ~ epred38_0
| epred29_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_379]) ).
cnf(c_0_417,negated_conjecture,
( ~ epred32_0
| ~ epred38_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_378]),c_0_381]) ).
fof(c_0_418,plain,
( ~ epred44_0
<=> ! [X3] :
( ~ ndr1_0
| c1_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_419,negated_conjecture,
( ~ c1_1(X1)
| hskp9
| c0_1(X1)
| c2_1(X1)
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_382]),c_0_143])]) ).
cnf(c_0_420,negated_conjecture,
( ~ epred21_0
| ~ epred39_0
| epred29_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_383]) ).
cnf(c_0_421,negated_conjecture,
( ~ epred39_0
| epred21_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_345,c_0_342]) ).
cnf(c_0_422,negated_conjecture,
( ~ epred22_0
| ~ epred39_0
| epred29_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_383]) ).
cnf(c_0_423,negated_conjecture,
( ~ epred21_0
| ~ epred32_0
| ~ epred39_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_384]) ).
cnf(c_0_424,negated_conjecture,
( ~ epred22_0
| ~ epred32_0
| ~ epred39_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_384]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp25
| c3_1(a656) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp27
| c0_1(a690)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_190]),c_0_321]) ).
cnf(c_0_427,negated_conjecture,
( ~ hskp25
| epred6_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_386,c_0_387]) ).
cnf(c_0_428,negated_conjecture,
( ~ hskp3
| hskp25
| epred31_0 ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp13
| epred2_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_390,c_0_391]) ).
cnf(c_0_430,negated_conjecture,
( hskp13
| hskp3
| epred2_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp13
| epred6_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_390,c_0_394]) ).
cnf(c_0_432,negated_conjecture,
( hskp13
| hskp3
| epred6_0
| epred14_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_393]) ).
fof(c_0_433,plain,
( ~ epred34_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_434,negated_conjecture,
( ~ hskp28
| c1_1(a595) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_435,negated_conjecture,
( ~ hskp28
| c2_1(a595) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
cnf(c_0_436,negated_conjecture,
( ~ hskp28
| c3_1(a595) ),
inference(fof_simplification,[status(thm)],[clause53]) ).
cnf(c_0_437,negated_conjecture,
( ~ hskp3
| hskp28
| c0_1(a597)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_207]),c_0_209]) ).
cnf(c_0_438,negated_conjecture,
( hskp30
| hskp3
| epred35_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_214]) ).
cnf(c_0_439,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_398]) ).
cnf(c_0_440,negated_conjecture,
( ~ hskp31
| epred24_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_400]),c_0_401]),c_0_402]) ).
cnf(c_0_441,negated_conjecture,
( hskp24
| hskp31
| hskp1 ),
clause36 ).
cnf(c_0_442,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_403]),c_0_143])]) ).
cnf(c_0_443,negated_conjecture,
( ~ hskp23
| c3_1(a645) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_444,negated_conjecture,
( ~ hskp23
| ~ c0_1(a645) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
fof(c_0_445,plain,
( ~ epred27_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_446,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| epred8_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_404]) ).
cnf(c_0_447,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_405]) ).
cnf(c_0_448,negated_conjecture,
( ~ hskp27
| ~ c0_1(a690)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_406]),c_0_323]) ).
cnf(c_0_449,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause188]) ).
cnf(c_0_450,negated_conjecture,
( ~ hskp24
| hskp10
| epred17_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_407,c_0_408]) ).
cnf(c_0_451,negated_conjecture,
( hskp24
| epred31_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_137]) ).
cnf(c_0_452,negated_conjecture,
( ~ hskp26
| epred21_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_410]),c_0_166]) ).
cnf(c_0_453,negated_conjecture,
( ~ hskp3
| c0_1(a597)
| epred21_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_410]) ).
cnf(c_0_454,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause193]) ).
cnf(c_0_455,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred47_0 ),
inference(split_equiv,[status(thm)],[c_0_411]) ).
fof(c_0_456,plain,
( ~ epred13_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| hskp20 ) ),
introduced(definition) ).
cnf(c_0_457,negated_conjecture,
( ~ hskp5
| c3_1(a599) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_458,negated_conjecture,
( ~ hskp5
| ~ c1_1(a599) ),
inference(fof_simplification,[status(thm)],[clause128]) ).
cnf(c_0_459,negated_conjecture,
( ~ hskp5
| c2_1(a599) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
cnf(c_0_460,negated_conjecture,
( ~ hskp23
| ~ c2_1(a645) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
cnf(c_0_461,negated_conjecture,
( hskp12
| hskp10
| epred42_0 ),
inference(spm,[status(thm)],[c_0_412,c_0_282]) ).
cnf(c_0_462,negated_conjecture,
( ~ epred42_0
| ~ epred43_0
| epred19_0
| epred20_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_413,c_0_414]) ).
cnf(c_0_463,negated_conjecture,
( ~ epred38_0
| epred36_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_416]),c_0_417]) ).
cnf(c_0_464,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred44_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_418]),c_0_143])]) ).
cnf(c_0_465,negated_conjecture,
( ~ hskp25
| hskp9
| c2_1(a656)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_348]),c_0_349]) ).
cnf(c_0_466,negated_conjecture,
( ~ epred39_0
| epred29_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_421]),c_0_422]) ).
cnf(c_0_467,negated_conjecture,
( ~ epred32_0
| ~ epred39_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_421]),c_0_424]) ).
cnf(c_0_468,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp29
| c0_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_284]),c_0_143])]) ).
cnf(c_0_469,negated_conjecture,
( ~ hskp25
| c3_1(a656) ),
c_0_425 ).
cnf(c_0_470,negated_conjecture,
( ~ hskp27
| epred14_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_353,c_0_426]) ).
cnf(c_0_471,negated_conjecture,
( ~ hskp3
| epred6_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_472,negated_conjecture,
( hskp3
| epred2_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_473,negated_conjecture,
( hskp3
| epred6_0
| epred14_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_474,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp28
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause170]) ).
cnf(c_0_475,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred34_0 ),
inference(split_equiv,[status(thm)],[c_0_433]) ).
cnf(c_0_476,negated_conjecture,
( ~ hskp28
| c1_1(a595) ),
c_0_434 ).
cnf(c_0_477,negated_conjecture,
( ~ hskp28
| c2_1(a595) ),
c_0_435 ).
cnf(c_0_478,negated_conjecture,
( ~ hskp28
| c3_1(a595) ),
c_0_436 ).
cnf(c_0_479,negated_conjecture,
( ~ hskp3
| hskp28
| epred11_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_238,c_0_437]) ).
cnf(c_0_480,negated_conjecture,
( hskp3
| epred19_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_438]) ).
cnf(c_0_481,negated_conjecture,
( ~ hskp24
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_367]),c_0_364]),c_0_365]) ).
cnf(c_0_482,negated_conjecture,
( hskp24
| hskp1
| epred24_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_483,negated_conjecture,
( ~ hskp29
| ~ c2_1(a618)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_202]),c_0_201]) ).
cnf(c_0_484,negated_conjecture,
( ~ hskp29
| c2_1(a618)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_200]),c_0_202]) ).
cnf(c_0_485,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| epred42_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_372]) ).
cnf(c_0_486,negated_conjecture,
( ~ hskp23
| c3_1(a645) ),
c_0_443 ).
cnf(c_0_487,negated_conjecture,
( ~ hskp23
| ~ c0_1(a645) ),
c_0_444 ).
cnf(c_0_488,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred27_0 ),
inference(split_equiv,[status(thm)],[c_0_445]) ).
cnf(c_0_489,negated_conjecture,
( ~ hskp31
| epred8_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_402]),c_0_401]) ).
cnf(c_0_490,negated_conjecture,
( ~ hskp26
| ~ c2_1(a667)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_447]),c_0_166]) ).
cnf(c_0_491,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| epred4_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_447]) ).
cnf(c_0_492,negated_conjecture,
( ~ hskp13
| ~ c0_1(a614)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_406]),c_0_352]) ).
cnf(c_0_493,negated_conjecture,
( ~ hskp27
| epred2_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_448,c_0_354]) ).
cnf(c_0_494,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_449 ).
cnf(c_0_495,negated_conjecture,
( ~ hskp10
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_404]),c_0_256]),c_0_255]) ).
cnf(c_0_496,negated_conjecture,
( hskp10
| epred17_0
| epred31_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
cnf(c_0_497,negated_conjecture,
( hskp30
| hskp3
| epred21_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_452,c_0_214]) ).
cnf(c_0_498,negated_conjecture,
( ~ hskp3
| epred19_0
| epred21_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_238,c_0_453]) ).
cnf(c_0_499,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_500,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2) ),
c_0_454 ).
cnf(c_0_501,negated_conjecture,
( ~ hskp3
| epred47_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_207]),c_0_208]),c_0_209]) ).
cnf(c_0_502,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause194]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp20
| c3_1(a630) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_504,negated_conjecture,
( ~ hskp20
| c0_1(a630) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_505,negated_conjecture,
( ~ hskp20
| ~ c2_1(a630) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_506,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp20
| c1_1(X1)
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_456]),c_0_143])]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp5
| c3_1(a599) ),
c_0_457 ).
cnf(c_0_508,negated_conjecture,
( ~ hskp5
| ~ c1_1(a599) ),
c_0_458 ).
cnf(c_0_509,negated_conjecture,
( ~ hskp5
| c2_1(a599) ),
c_0_459 ).
cnf(c_0_510,negated_conjecture,
( ~ hskp23
| ~ c2_1(a645) ),
c_0_460 ).
cnf(c_0_511,negated_conjecture,
( hskp10
| c0_1(X1)
| c2_1(X1)
| epred33_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_366,c_0_206]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp12
| epred28_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_412,c_0_303]) ).
cnf(c_0_513,negated_conjecture,
( hskp12
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_461]) ).
cnf(c_0_514,negated_conjecture,
( ~ epred38_0
| ~ epred42_0
| epred20_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_462]),c_0_463]) ).
cnf(c_0_515,negated_conjecture,
( ~ hskp18
| c2_1(a625)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_464]),c_0_227]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp25
| epred23_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_465]),c_0_409]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp10
| hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_255]),c_0_256]),c_0_257]) ).
cnf(c_0_518,negated_conjecture,
( hskp12
| hskp9
| hskp10 ),
clause39 ).
cnf(c_0_519,negated_conjecture,
( ~ epred39_0
| epred36_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_466]),c_0_467]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp25
| ~ c2_1(a656)
| hskp29
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_469]),c_0_349]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp25
| c2_1(a656)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_348]),c_0_469]) ).
cnf(c_0_522,negated_conjecture,
( ~ hskp2
| ~ c1_1(a596) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp2
| c2_1(a596) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
cnf(c_0_524,negated_conjecture,
( ~ hskp2
| ~ c0_1(a596) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_525,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause196]) ).
cnf(c_0_526,negated_conjecture,
( hskp13
| hskp3
| epred14_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_470,c_0_393]) ).
cnf(c_0_527,negated_conjecture,
( epred2_0
| epred6_0
| epred14_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_471,c_0_472]) ).
cnf(c_0_528,negated_conjecture,
( epred6_0
| epred14_0
| epred31_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_471,c_0_473]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp24
| c0_1(a651)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_367]),c_0_365]) ).
cnf(c_0_530,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp28
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_474 ).
cnf(c_0_531,negated_conjecture,
( ~ hskp28
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_476]),c_0_477]),c_0_478]) ).
cnf(c_0_532,negated_conjecture,
( hskp28
| epred11_0
| epred19_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_479,c_0_480]) ).
cnf(c_0_533,negated_conjecture,
( hskp1
| epred12_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_534,negated_conjecture,
( ~ hskp29
| epred12_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_483,c_0_484]) ).
fof(c_0_535,plain,
( ~ epred37_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| hskp24 ) ),
introduced(definition) ).
cnf(c_0_536,negated_conjecture,
( ~ hskp25
| epred42_0
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_469]),c_0_349]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp18
| epred42_0
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_226]),c_0_227]) ).
cnf(c_0_538,negated_conjecture,
( ~ hskp23
| epred42_0
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_486]),c_0_487]) ).
cnf(c_0_539,negated_conjecture,
( hskp23
| hskp25
| hskp29 ),
clause35 ).
cnf(c_0_540,negated_conjecture,
( ~ hskp1
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_155]),c_0_156]),c_0_158]) ).
cnf(c_0_541,negated_conjecture,
( ~ hskp30
| ~ c3_1(a637)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_210]),c_0_212]) ).
cnf(c_0_542,negated_conjecture,
( ~ hskp30
| c3_1(a637)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_210]),c_0_211]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp1
| ~ c2_1(a594)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_404]),c_0_156]) ).
cnf(c_0_544,negated_conjecture,
( hskp24
| hskp1
| epred8_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_489,c_0_441]) ).
fof(c_0_545,plain,
( ~ epred7_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_546,negated_conjecture,
( ~ hskp0
| ~ c3_1(a593) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
cnf(c_0_547,negated_conjecture,
( ~ hskp0
| c2_1(a593) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
cnf(c_0_548,negated_conjecture,
( ~ hskp0
| ~ c0_1(a593) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_549,negated_conjecture,
( ~ hskp3
| ~ c0_1(a597)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_404]),c_0_208]) ).
cnf(c_0_550,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3) ),
inference(fof_simplification,[status(thm)],[clause200]) ).
cnf(c_0_551,negated_conjecture,
( ~ hskp26
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_490,c_0_188]) ).
cnf(c_0_552,negated_conjecture,
( ~ hskp9
| epred4_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_369]),c_0_370]) ).
cnf(c_0_553,negated_conjecture,
( ~ hskp13
| epred2_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_492,c_0_391]) ).
cnf(c_0_554,negated_conjecture,
( hskp13
| hskp3
| epred2_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_493,c_0_393]) ).
cnf(c_0_555,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause199]) ).
cnf(c_0_556,negated_conjecture,
( ~ epred8_0
| ~ epred36_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_494,c_0_334]),c_0_180]),c_0_362]) ).
cnf(c_0_557,negated_conjecture,
( epred8_0
| epred17_0
| epred31_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_495,c_0_496]) ).
cnf(c_0_558,negated_conjecture,
( epred19_0
| epred21_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_497]),c_0_498]) ).
cnf(c_0_559,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
c_0_499 ).
cnf(c_0_560,negated_conjecture,
( ~ epred2_0
| ~ epred19_0
| ~ epred46_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_500,c_0_363]),c_0_153]),c_0_139]) ).
cnf(c_0_561,negated_conjecture,
( epred2_0
| epred14_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_501,c_0_472]) ).
cnf(c_0_562,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2) ),
c_0_502 ).
cnf(c_0_563,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| hskp13
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause152]) ).
cnf(c_0_564,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp4
| hskp3
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause140]) ).
cnf(c_0_565,negated_conjecture,
( ~ hskp3
| epred19_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_238,c_0_389]) ).
fof(c_0_566,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| hskp11 ) ),
introduced(definition) ).
cnf(c_0_567,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp7
| hskp28
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
cnf(c_0_568,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp7
| hskp19
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause145]) ).
cnf(c_0_569,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp6
| hskp29
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause156]) ).
cnf(c_0_570,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp28
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause158]) ).
cnf(c_0_571,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp5
| hskp10
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause157]) ).
cnf(c_0_572,negated_conjecture,
( ~ hskp20
| c3_1(a630) ),
c_0_503 ).
cnf(c_0_573,negated_conjecture,
( ~ hskp20
| c0_1(a630) ),
c_0_504 ).
cnf(c_0_574,negated_conjecture,
( ~ hskp20
| ~ c2_1(a630) ),
c_0_505 ).
cnf(c_0_575,negated_conjecture,
( ~ hskp5
| ~ c0_1(a599)
| hskp20
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_507]),c_0_508]) ).
cnf(c_0_576,negated_conjecture,
( ~ hskp5
| hskp29
| c0_1(a599)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_507]),c_0_509]) ).
cnf(c_0_577,negated_conjecture,
( ~ hskp23
| hskp10
| epred33_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_511]),c_0_487]) ).
cnf(c_0_578,negated_conjecture,
( epred28_0
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_512,c_0_513]) ).
cnf(c_0_579,negated_conjecture,
( ~ epred21_0
| ~ epred38_0
| ~ epred42_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_514]) ).
cnf(c_0_580,negated_conjecture,
( ~ epred22_0
| ~ epred38_0
| ~ epred42_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_514]) ).
cnf(c_0_581,negated_conjecture,
( ~ hskp18
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_515]) ).
fof(c_0_582,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp13 ) ),
introduced(definition) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp6
| c3_1(a600) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp6
| ~ c2_1(a600) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
cnf(c_0_585,negated_conjecture,
( ~ hskp6
| ~ c1_1(a600) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
cnf(c_0_586,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp9
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_587,negated_conjecture,
( ~ hskp10
| epred23_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_516,c_0_517]) ).
cnf(c_0_588,negated_conjecture,
( hskp12
| hskp10
| epred31_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_518]) ).
cnf(c_0_589,negated_conjecture,
( ~ epred39_0
| ~ epred42_0
| epred20_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_462]),c_0_519]) ).
cnf(c_0_590,negated_conjecture,
( ~ hskp25
| hskp29
| epred12_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_520,c_0_521]) ).
cnf(c_0_591,negated_conjecture,
( ~ hskp2
| ~ c1_1(a596) ),
c_0_522 ).
cnf(c_0_592,negated_conjecture,
( ~ hskp2
| c2_1(a596) ),
c_0_523 ).
cnf(c_0_593,negated_conjecture,
( ~ hskp2
| ~ c0_1(a596) ),
c_0_524 ).
cnf(c_0_594,negated_conjecture,
( ~ hskp28
| ~ c0_1(a595)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_476]),c_0_477]) ).
cnf(c_0_595,negated_conjecture,
( ~ hskp28
| hskp29
| c0_1(a595)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_478]),c_0_477]) ).
fof(c_0_596,plain,
( ~ epred48_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_597,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2) ),
c_0_525 ).
cnf(c_0_598,negated_conjecture,
( hskp3
| epred6_0
| epred14_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_526]) ).
cnf(c_0_599,negated_conjecture,
( ~ epred35_0
| epred6_0
| epred14_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_527]),c_0_528]) ).
cnf(c_0_600,negated_conjecture,
( ~ hskp24
| epred6_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_407,c_0_529]) ).
cnf(c_0_601,negated_conjecture,
( ~ epred11_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_530,c_0_357]),c_0_398]) ).
cnf(c_0_602,negated_conjecture,
( epred11_0
| epred19_0
| epred34_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_531,c_0_532]) ).
cnf(c_0_603,negated_conjecture,
( epred9_0
| epred12_0
| epred19_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_533]),c_0_534]) ).
cnf(c_0_604,negated_conjecture,
( epred10_0
| epred12_0
| epred19_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_533]) ).
cnf(c_0_605,negated_conjecture,
( ~ hskp30
| c3_1(a637)
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_210]),c_0_212]) ).
cnf(c_0_606,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp24
| c3_1(X1)
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_535]),c_0_143])]) ).
cnf(c_0_607,negated_conjecture,
( ~ hskp12
| ~ c0_1(a609)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_404]),c_0_276]) ).
cnf(c_0_608,negated_conjecture,
( ~ hskp12
| c0_1(a609)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_190]),c_0_277]) ).
cnf(c_0_609,negated_conjecture,
( ~ hskp29
| epred12_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_273,c_0_484]) ).
cnf(c_0_610,negated_conjecture,
( ~ hskp10
| epred42_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_536,c_0_517]) ).
cnf(c_0_611,negated_conjecture,
( hskp12
| hskp10
| epred42_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_537,c_0_282]) ).
cnf(c_0_612,negated_conjecture,
( hskp29
| hskp25
| epred42_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_538,c_0_539]) ).
cnf(c_0_613,negated_conjecture,
( ~ hskp12
| ~ c0_1(a609)
| hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_276]),c_0_277]) ).
cnf(c_0_614,negated_conjecture,
( ~ hskp12
| c0_1(a609)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_371]),c_0_277]) ).
cnf(c_0_615,negated_conjecture,
( hskp4
| epred20_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_540,c_0_204]) ).
cnf(c_0_616,negated_conjecture,
( ~ hskp3
| ~ c0_1(a597)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_207]),c_0_209]) ).
cnf(c_0_617,negated_conjecture,
( ~ hskp30
| epred27_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_541,c_0_542]) ).
fof(c_0_618,plain,
( ~ epred18_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp7 ) ),
introduced(definition) ).
cnf(c_0_619,negated_conjecture,
( ~ hskp1
| hskp29
| epred8_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_543,c_0_176]) ).
cnf(c_0_620,negated_conjecture,
( ~ hskp1
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_543,c_0_205]) ).
cnf(c_0_621,negated_conjecture,
( hskp1
| epred8_0
| epred12_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_544]) ).
cnf(c_0_622,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_545]),c_0_143])]) ).
cnf(c_0_623,negated_conjecture,
( ~ hskp0
| ~ c3_1(a593) ),
c_0_546 ).
cnf(c_0_624,negated_conjecture,
( ~ hskp0
| c2_1(a593) ),
c_0_547 ).
cnf(c_0_625,negated_conjecture,
( ~ hskp0
| ~ c0_1(a593) ),
c_0_548 ).
cnf(c_0_626,negated_conjecture,
( ~ hskp9
| ~ c3_1(a604)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_368]),c_0_369]) ).
cnf(c_0_627,negated_conjecture,
( ~ hskp9
| c3_1(a604)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_368]),c_0_370]) ).
cnf(c_0_628,negated_conjecture,
( ~ hskp3
| epred8_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_549,c_0_389]) ).
cnf(c_0_629,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
fof(c_0_630,plain,
( ~ epred51_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_631,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3) ),
c_0_550 ).
cnf(c_0_632,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause191]) ).
cnf(c_0_633,negated_conjecture,
( ~ hskp3
| c0_1(a597)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_447]),c_0_208]) ).
cnf(c_0_634,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X2)
| c0_1(X2)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause190]) ).
cnf(c_0_635,negated_conjecture,
( ~ hskp3
| ~ c0_1(a597)
| epred8_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_208]) ).
cnf(c_0_636,negated_conjecture,
( ~ hskp30
| epred8_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_212]),c_0_211]) ).
cnf(c_0_637,negated_conjecture,
( hskp30
| hskp3
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_551,c_0_214]) ).
cnf(c_0_638,negated_conjecture,
( ~ hskp10
| epred8_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_255]),c_0_256]) ).
cnf(c_0_639,negated_conjecture,
( hskp12
| hskp10
| epred4_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_552,c_0_518]) ).
cnf(c_0_640,negated_conjecture,
( hskp3
| epred2_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_553,c_0_554]) ).
cnf(c_0_641,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp18
| c2_1(X1)
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_313]),c_0_143])]) ).
cnf(c_0_642,negated_conjecture,
( ~ hskp7
| c3_1(a602) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_643,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c0_1(X2) ),
c_0_555 ).
cnf(c_0_644,negated_conjecture,
( ~ epred36_0
| ~ epred42_0
| epred17_0
| epred31_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_556,c_0_557]) ).
cnf(c_0_645,negated_conjecture,
( ~ epred38_0
| epred21_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_558]) ).
cnf(c_0_646,negated_conjecture,
( ~ epred14_0
| ~ epred17_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_559,c_0_418]),c_0_298]),c_0_216]) ).
cnf(c_0_647,negated_conjecture,
( ~ epred19_0
| ~ epred46_0
| epred14_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_560,c_0_561]) ).
cnf(c_0_648,negated_conjecture,
( ~ epred19_0
| ~ epred44_0
| ~ epred47_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_562,c_0_418]),c_0_411]),c_0_139]) ).
cnf(c_0_649,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| hskp13
| c1_1(X1) ),
c_0_563 ).
cnf(c_0_650,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp4
| hskp3
| c1_1(X1)
| c0_1(X1) ),
c_0_564 ).
cnf(c_0_651,negated_conjecture,
( epred2_0
| epred14_0
| epred19_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_565,c_0_472]) ).
cnf(c_0_652,negated_conjecture,
( ~ c0_1(X1)
| hskp11
| c3_1(X1)
| c1_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_566]),c_0_143])]) ).
fof(c_0_653,plain,
( ~ epred40_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| hskp17 ) ),
introduced(definition) ).
cnf(c_0_654,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp7
| hskp28
| c3_1(X1)
| c0_1(X1) ),
c_0_567 ).
cnf(c_0_655,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp7
| hskp19
| c3_1(X1)
| c1_1(X1) ),
c_0_568 ).
cnf(c_0_656,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp6
| hskp29
| c2_1(X1) ),
c_0_569 ).
cnf(c_0_657,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp28
| c3_1(X1) ),
c_0_570 ).
cnf(c_0_658,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp5
| hskp10
| c2_1(X1) ),
c_0_571 ).
cnf(c_0_659,negated_conjecture,
( ~ hskp19
| ~ c3_1(a627) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
cnf(c_0_660,negated_conjecture,
( ~ hskp19
| c0_1(a627) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_661,negated_conjecture,
( ~ hskp19
| ~ c2_1(a627) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
cnf(c_0_662,negated_conjecture,
( ~ hskp29
| ~ c2_1(a618)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_200]),c_0_202]) ).
cnf(c_0_663,negated_conjecture,
( ~ hskp20
| epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_572]),c_0_573]),c_0_574]) ).
cnf(c_0_664,negated_conjecture,
( ~ hskp5
| hskp29
| hskp20
| epred13_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_575,c_0_576]) ).
cnf(c_0_665,negated_conjecture,
( ~ hskp17
| c1_1(a624) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
cnf(c_0_666,negated_conjecture,
( ~ hskp17
| c0_1(a624) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_667,negated_conjecture,
( ~ hskp17
| ~ c2_1(a624) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
cnf(c_0_668,negated_conjecture,
( hskp29
| hskp25
| epred33_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_539]),c_0_517]) ).
cnf(c_0_669,negated_conjecture,
( ~ epred29_0
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_375,c_0_578]) ).
cnf(c_0_670,negated_conjecture,
( ~ epred38_0
| ~ epred42_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_378]),c_0_580]) ).
cnf(c_0_671,negated_conjecture,
( hskp12
| hskp10
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_581,c_0_282]) ).
cnf(c_0_672,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp13
| c2_1(X1)
| epred30_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_582]),c_0_143])]) ).
cnf(c_0_673,negated_conjecture,
( ~ hskp6
| c3_1(a600) ),
c_0_583 ).
cnf(c_0_674,negated_conjecture,
( ~ hskp6
| ~ c2_1(a600) ),
c_0_584 ).
cnf(c_0_675,negated_conjecture,
( ~ hskp6
| ~ c1_1(a600) ),
c_0_585 ).
cnf(c_0_676,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp9
| c2_1(X2)
| c0_1(X2) ),
c_0_586 ).
cnf(c_0_677,negated_conjecture,
( hskp12
| epred23_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_587,c_0_588]) ).
cnf(c_0_678,negated_conjecture,
( ~ epred21_0
| ~ epred39_0
| ~ epred42_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_589]) ).
cnf(c_0_679,negated_conjecture,
( ~ epred22_0
| ~ epred39_0
| ~ epred42_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_589]) ).
cnf(c_0_680,negated_conjecture,
( ~ hskp10
| hskp29
| epred12_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_590,c_0_517]) ).
cnf(c_0_681,negated_conjecture,
( ~ hskp2
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_165]),c_0_592]),c_0_593]) ).
cnf(c_0_682,negated_conjecture,
( hskp2
| hskp28
| hskp10 ),
clause38 ).
cnf(c_0_683,negated_conjecture,
( ~ hskp28
| hskp29
| epred19_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_594,c_0_595]) ).
cnf(c_0_684,negated_conjecture,
( ~ epred6_0
| ~ epred24_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_597,c_0_596]),c_0_272]),c_0_358]) ).
cnf(c_0_685,negated_conjecture,
( epred6_0
| epred14_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_598]),c_0_599]) ).
cnf(c_0_686,negated_conjecture,
( epred6_0
| epred17_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_600,c_0_451]) ).
cnf(c_0_687,negated_conjecture,
( ~ epred12_0
| epred19_0
| epred34_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_601,c_0_602]) ).
cnf(c_0_688,negated_conjecture,
( epred12_0
| epred19_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_603]),c_0_604]) ).
cnf(c_0_689,negated_conjecture,
( ~ hskp30
| epred34_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_541,c_0_605]) ).
cnf(c_0_690,negated_conjecture,
( ~ hskp1
| hskp24
| epred37_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_155]),c_0_156]),c_0_158]) ).
cnf(c_0_691,negated_conjecture,
( ~ hskp12
| epred8_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_607,c_0_608]) ).
cnf(c_0_692,negated_conjecture,
( hskp12
| epred8_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_495,c_0_588]) ).
cnf(c_0_693,negated_conjecture,
( hskp4
| epred9_0
| epred12_0
| epred19_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_609,c_0_234]) ).
cnf(c_0_694,negated_conjecture,
( hskp9
| c0_1(a651)
| c2_1(a651)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_367]),c_0_137]) ).
cnf(c_0_695,negated_conjecture,
( hskp12
| epred42_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_610,c_0_611]) ).
cnf(c_0_696,negated_conjecture,
( hskp29
| epred42_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_536,c_0_612]) ).
cnf(c_0_697,negated_conjecture,
( ~ hskp25
| ~ c2_1(a656)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_348]),c_0_469]) ).
cnf(c_0_698,negated_conjecture,
( ~ hskp12
| hskp25
| epred45_0 ),
inference(spm,[status(thm)],[c_0_613,c_0_614]) ).
cnf(c_0_699,negated_conjecture,
( epred20_0
| epred27_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_615]) ).
cnf(c_0_700,negated_conjecture,
( ~ hskp3
| epred21_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_616,c_0_239]) ).
cnf(c_0_701,negated_conjecture,
( hskp3
| epred22_0
| epred27_0
| epred34_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_617,c_0_289]) ).
cnf(c_0_702,negated_conjecture,
( hskp7
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_618]),c_0_143])]) ).
cnf(c_0_703,negated_conjecture,
( epred8_0
| epred9_0
| epred12_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_533]),c_0_534]) ).
cnf(c_0_704,negated_conjecture,
( epred8_0
| epred10_0
| epred12_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_620,c_0_621]) ).
cnf(c_0_705,negated_conjecture,
( ~ hskp11
| c1_1(a608) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_706,negated_conjecture,
( ~ hskp11
| ~ c0_1(a608) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_707,negated_conjecture,
( ~ hskp11
| ~ c3_1(a608) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_708,negated_conjecture,
( ~ hskp7
| c2_1(a602) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_709,negated_conjecture,
( ~ hskp7
| ~ c0_1(a602) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
cnf(c_0_710,negated_conjecture,
( ~ hskp26
| hskp0
| c2_1(a667)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_622]),c_0_166]) ).
cnf(c_0_711,negated_conjecture,
( ~ hskp0
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_447]),c_0_624]),c_0_625]) ).
cnf(c_0_712,negated_conjecture,
( ~ hskp9
| epred21_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_626,c_0_627]) ).
cnf(c_0_713,negated_conjecture,
( epred2_0
| epred8_0
| epred14_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_628,c_0_472]) ).
cnf(c_0_714,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_629 ).
cnf(c_0_715,negated_conjecture,
( ~ epred19_0
| ~ epred24_0
| ~ epred51_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_631,c_0_630]),c_0_139]),c_0_358]) ).
cnf(c_0_716,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2) ),
c_0_632 ).
cnf(c_0_717,negated_conjecture,
( ~ hskp3
| epred4_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_238,c_0_633]) ).
cnf(c_0_718,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X2)
| c0_1(X2)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c0_1(X1) ),
c_0_634 ).
cnf(c_0_719,negated_conjecture,
( ~ hskp3
| epred4_0
| epred8_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_635,c_0_633]) ).
cnf(c_0_720,negated_conjecture,
( hskp3
| epred2_0
| epred4_0
| epred8_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_636,c_0_637]) ).
cnf(c_0_721,negated_conjecture,
( ~ hskp12
| ~ c0_1(a609)
| epred8_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_276]) ).
cnf(c_0_722,negated_conjecture,
( ~ hskp12
| c0_1(a609)
| epred4_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_491,c_0_276]) ).
cnf(c_0_723,negated_conjecture,
( hskp12
| epred4_0
| epred8_0
| epred24_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_638,c_0_639]) ).
cnf(c_0_724,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause198]) ).
cnf(c_0_725,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp17
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause187]) ).
cnf(c_0_726,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp24
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_727,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause177]) ).
cnf(c_0_728,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp13
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause178]) ).
cnf(c_0_729,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_730,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp20
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_731,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause164]) ).
cnf(c_0_732,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause166]) ).
cnf(c_0_733,negated_conjecture,
( epred2_0
| epred8_0
| epred31_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_628,c_0_640]) ).
cnf(c_0_734,negated_conjecture,
( ~ hskp24
| ~ c0_1(a651)
| hskp18
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_367]),c_0_365]) ).
cnf(c_0_735,negated_conjecture,
( ~ hskp12
| epred28_0
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_581,c_0_303]) ).
cnf(c_0_736,negated_conjecture,
( hskp12
| epred31_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_588]) ).
cnf(c_0_737,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred34_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_475,c_0_372]) ).
cnf(c_0_738,negated_conjecture,
( ~ hskp7
| c3_1(a602) ),
c_0_642 ).
cnf(c_0_739,negated_conjecture,
( ~ hskp4
| ~ c3_1(a598)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_372]),c_0_231]) ).
cnf(c_0_740,negated_conjecture,
( hskp28
| hskp0
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred7_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_396,c_0_622]) ).
cnf(c_0_741,negated_conjecture,
( ~ epred31_0
| ~ epred34_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_643,c_0_403]),c_0_315]),c_0_433]) ).
cnf(c_0_742,negated_conjecture,
( ~ epred36_0
| ~ epred42_0
| ~ epred43_0
| epred31_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_413,c_0_644]) ).
cnf(c_0_743,negated_conjecture,
( ~ c2_1(X1)
| hskp29
| c0_1(X1)
| epred21_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_410]),c_0_645]) ).
cnf(c_0_744,negated_conjecture,
( ~ epred17_0
| ~ epred19_0
| ~ epred44_0
| ~ epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_647]),c_0_648]) ).
cnf(c_0_745,negated_conjecture,
( ~ hskp13
| hskp28
| c0_1(a614)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_355]),c_0_351]) ).
cnf(c_0_746,negated_conjecture,
( ~ hskp9
| hskp28
| c3_1(a604)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_368]),c_0_370]) ).
cnf(c_0_747,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp13
| hskp12
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_649,c_0_143])]) ).
cnf(c_0_748,negated_conjecture,
( ~ hskp2
| c3_1(a596)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_371]),c_0_593]) ).
cnf(c_0_749,negated_conjecture,
( ~ c2_1(X1)
| hskp4
| hskp3
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_650,c_0_143])]) ).
cnf(c_0_750,negated_conjecture,
( ~ epred35_0
| ~ epred36_0
| epred14_0
| epred19_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_651]) ).
cnf(c_0_751,negated_conjecture,
( ~ hskp14
| hskp11
| c3_1(a615)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_252]),c_0_253]) ).
cnf(c_0_752,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp17
| c3_1(X1)
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_653]),c_0_143])]) ).
cnf(c_0_753,negated_conjecture,
( ~ hskp10
| hskp11
| c1_1(a605)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_256]),c_0_257]) ).
cnf(c_0_754,negated_conjecture,
( ~ c2_1(X1)
| hskp28
| hskp7
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_654,c_0_143])]) ).
cnf(c_0_755,negated_conjecture,
( ~ c2_1(X1)
| hskp19
| hskp7
| c3_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_655,c_0_143])]) ).
cnf(c_0_756,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp29
| hskp6
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_656,c_0_143])]) ).
cnf(c_0_757,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp28
| hskp4
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_657,c_0_143])]) ).
cnf(c_0_758,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp10
| hskp5
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_658,c_0_143])]) ).
cnf(c_0_759,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred51_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_630]),c_0_143])]) ).
cnf(c_0_760,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_596]),c_0_143])]) ).
cnf(c_0_761,negated_conjecture,
( ~ hskp19
| ~ c3_1(a627) ),
c_0_659 ).
cnf(c_0_762,negated_conjecture,
( ~ hskp19
| c0_1(a627) ),
c_0_660 ).
cnf(c_0_763,negated_conjecture,
( ~ hskp19
| ~ c2_1(a627) ),
c_0_661 ).
cnf(c_0_764,negated_conjecture,
( ~ hskp29
| epred17_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_662,c_0_274]) ).
cnf(c_0_765,negated_conjecture,
( ~ hskp5
| hskp29
| epred13_0
| epred17_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_663,c_0_664]) ).
cnf(c_0_766,negated_conjecture,
( ~ hskp29
| hskp18
| c2_1(a618)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_200]),c_0_201]) ).
cnf(c_0_767,negated_conjecture,
( ~ hskp17
| c1_1(a624) ),
c_0_665 ).
cnf(c_0_768,negated_conjecture,
( ~ hskp17
| c0_1(a624) ),
c_0_666 ).
cnf(c_0_769,negated_conjecture,
( ~ hskp17
| ~ c2_1(a624) ),
c_0_667 ).
cnf(c_0_770,negated_conjecture,
( hskp29
| epred12_0
| epred33_0
| epred36_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_590,c_0_668]) ).
cnf(c_0_771,negated_conjecture,
( ~ epred38_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_416]),c_0_417]),c_0_670]) ).
cnf(c_0_772,negated_conjecture,
( hskp12
| epred32_0
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_671]) ).
cnf(c_0_773,negated_conjecture,
( ~ hskp6
| ~ c0_1(a600)
| hskp13
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_673]),c_0_674]) ).
cnf(c_0_774,negated_conjecture,
( ~ hskp6
| c0_1(a600)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_464]),c_0_674]) ).
cnf(c_0_775,negated_conjecture,
( ~ epred23_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_676,c_0_382]),c_0_358]) ).
cnf(c_0_776,negated_conjecture,
( epred23_0
| epred28_0
| epred31_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_512,c_0_677]) ).
cnf(c_0_777,negated_conjecture,
( ~ epred39_0
| ~ epred42_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_421]),c_0_679]) ).
cnf(c_0_778,negated_conjecture,
( ~ hskp6
| c0_1(a600)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_372]),c_0_673]) ).
cnf(c_0_779,negated_conjecture,
( ~ hskp5
| ~ c0_1(a599)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_507]),c_0_509]) ).
cnf(c_0_780,negated_conjecture,
( ~ hskp5
| c0_1(a599)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_372]),c_0_507]) ).
cnf(c_0_781,negated_conjecture,
( ~ hskp10
| epred12_0
| epred19_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_609,c_0_680]) ).
cnf(c_0_782,negated_conjecture,
( hskp28
| hskp10
| epred22_0 ),
inference(spm,[status(thm)],[c_0_681,c_0_682]) ).
cnf(c_0_783,negated_conjecture,
( ~ hskp28
| epred12_0
| epred19_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_609,c_0_683]) ).
cnf(c_0_784,negated_conjecture,
( ~ epred24_0
| ~ epred48_0
| epred14_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_684,c_0_685]) ).
cnf(c_0_785,negated_conjecture,
( ~ epred24_0
| ~ epred48_0
| epred17_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_684,c_0_686]) ).
cnf(c_0_786,negated_conjecture,
( ~ hskp28
| ~ c0_1(a595)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_476]),c_0_478]) ).
cnf(c_0_787,negated_conjecture,
( epred19_0
| epred24_0
| epred34_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_687,c_0_688]) ).
cnf(c_0_788,negated_conjecture,
( epred34_0
| epred35_0
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_438]),c_0_501]) ).
cnf(c_0_789,negated_conjecture,
( ~ hskp1
| epred12_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_690]) ).
cnf(c_0_790,negated_conjecture,
( epred8_0
| epred31_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_691,c_0_692]) ).
cnf(c_0_791,negated_conjecture,
( epred9_0
| epred12_0
| epred19_0
| epred20_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_693]) ).
cnf(c_0_792,negated_conjecture,
( ~ hskp24
| ~ c0_1(a651)
| hskp13
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_364]),c_0_365]) ).
cnf(c_0_793,negated_conjecture,
( hskp9
| c0_1(a651)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_694]),c_0_137]) ).
cnf(c_0_794,negated_conjecture,
( ~ hskp29
| hskp13
| c2_1(a618)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_202]),c_0_201]) ).
cnf(c_0_795,negated_conjecture,
( ~ hskp6
| c0_1(a600)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_206]),c_0_674]) ).
cnf(c_0_796,negated_conjecture,
( epred28_0
| epred42_0
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_303]),c_0_695]) ).
cnf(c_0_797,negated_conjecture,
( epred29_0
| epred42_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_696]) ).
cnf(c_0_798,negated_conjecture,
( ~ hskp25
| hskp9
| epred23_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_697,c_0_465]) ).
cnf(c_0_799,negated_conjecture,
( epred23_0
| epred31_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_698]),c_0_677]) ).
cnf(c_0_800,negated_conjecture,
( ~ epred21_0
| epred27_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_699]) ).
cnf(c_0_801,negated_conjecture,
( epred21_0
| epred22_0
| epred27_0
| epred34_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_700,c_0_701]) ).
cnf(c_0_802,negated_conjecture,
( ~ epred22_0
| epred27_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_699]) ).
cnf(c_0_803,negated_conjecture,
( ~ hskp13
| ~ c0_1(a614)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_355]),c_0_351]) ).
cnf(c_0_804,negated_conjecture,
( ~ hskp13
| hskp7
| c0_1(a614)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_702]),c_0_352]) ).
cnf(c_0_805,negated_conjecture,
( ~ epred36_0
| ~ epred42_0
| epred9_0
| epred12_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_556,c_0_703]) ).
cnf(c_0_806,negated_conjecture,
( ~ epred36_0
| ~ epred42_0
| epred10_0
| epred12_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_556,c_0_704]) ).
cnf(c_0_807,negated_conjecture,
( ~ hskp13
| ~ c0_1(a614)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_355]),c_0_352]) ).
cnf(c_0_808,negated_conjecture,
( ~ hskp11
| c1_1(a608) ),
c_0_705 ).
cnf(c_0_809,negated_conjecture,
( ~ hskp11
| ~ c0_1(a608) ),
c_0_706 ).
cnf(c_0_810,negated_conjecture,
( ~ hskp11
| ~ c3_1(a608) ),
c_0_707 ).
cnf(c_0_811,negated_conjecture,
( ~ hskp28
| ~ c0_1(a595)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_478]),c_0_477]) ).
cnf(c_0_812,negated_conjecture,
( ~ hskp28
| c0_1(a595)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_478]),c_0_477]) ).
cnf(c_0_813,negated_conjecture,
( ~ hskp7
| c2_1(a602) ),
c_0_708 ).
cnf(c_0_814,negated_conjecture,
( ~ hskp7
| ~ c0_1(a602) ),
c_0_709 ).
cnf(c_0_815,negated_conjecture,
( ~ hskp26
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_710]),c_0_711]) ).
cnf(c_0_816,negated_conjecture,
( hskp24
| epred21_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_712,c_0_137]) ).
cnf(c_0_817,negated_conjecture,
( ~ hskp28
| c0_1(a595)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_476]),c_0_477]) ).
cnf(c_0_818,negated_conjecture,
( ~ epred35_0
| ~ epred36_0
| epred8_0
| epred14_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_713]) ).
cnf(c_0_819,negated_conjecture,
( ~ epred21_0
| ~ epred27_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_714,c_0_334]),c_0_445]),c_0_169]) ).
cnf(c_0_820,negated_conjecture,
( ~ epred24_0
| ~ epred51_0
| epred21_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_715,c_0_558]) ).
cnf(c_0_821,negated_conjecture,
( ~ epred24_0
| ~ epred42_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_716,c_0_334]),c_0_333]),c_0_358]) ).
cnf(c_0_822,negated_conjecture,
( epred2_0
| epred4_0
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_637]),c_0_717]) ).
cnf(c_0_823,negated_conjecture,
( ~ epred2_0
| ~ epred42_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_718,c_0_334]),c_0_153]),c_0_192]) ).
cnf(c_0_824,negated_conjecture,
( epred2_0
| epred4_0
| epred8_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_719,c_0_720]) ).
cnf(c_0_825,negated_conjecture,
( epred4_0
| epred8_0
| epred24_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_722]),c_0_723]) ).
cnf(c_0_826,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2) ),
c_0_724 ).
cnf(c_0_827,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp17
| c3_1(X2) ),
c_0_725 ).
cnf(c_0_828,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp24
| c3_1(X2) ),
c_0_726 ).
cnf(c_0_829,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2) ),
c_0_727 ).
cnf(c_0_830,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp13
| c0_1(X2)
| c2_1(X1) ),
c_0_728 ).
cnf(c_0_831,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
c_0_729 ).
cnf(c_0_832,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp20
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_730 ).
cnf(c_0_833,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_731 ).
cnf(c_0_834,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_732 ).
cnf(c_0_835,negated_conjecture,
( ~ epred35_0
| ~ epred36_0
| epred8_0
| epred31_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_733]) ).
cnf(c_0_836,negated_conjecture,
( ~ hskp24
| hskp10
| epred33_0
| hskp18
| epred39_0 ),
inference(spm,[status(thm)],[c_0_734,c_0_408]) ).
cnf(c_0_837,negated_conjecture,
( epred31_0
| epred32_0
| epred28_0
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_735,c_0_736]) ).
cnf(c_0_838,negated_conjecture,
( ~ hskp7
| ~ c2_1(a602)
| c0_1(a602)
| epred34_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_737,c_0_738]) ).
cnf(c_0_839,negated_conjecture,
( ~ hskp4
| hskp28
| hskp0
| c0_1(a598)
| c2_1(a598)
| epred7_0
| epred11_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_739,c_0_740]) ).
cnf(c_0_840,negated_conjecture,
( ~ epred36_0
| ~ epred42_0
| ~ epred43_0
| ~ epred34_0
| ~ epred52_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_741,c_0_742]) ).
cnf(c_0_841,negated_conjecture,
( ~ hskp9
| hskp29
| c0_1(a604)
| epred21_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_743,c_0_369]) ).
cnf(c_0_842,negated_conjecture,
( ~ epred36_0
| ~ epred42_0
| ~ epred19_0
| ~ epred44_0
| ~ epred46_0
| epred31_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_744,c_0_644]) ).
cnf(c_0_843,negated_conjecture,
( ~ hskp13
| hskp28
| epred11_0
| hskp29
| c2_1(a614)
| c3_1(a614)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_157,c_0_745]) ).
cnf(c_0_844,negated_conjecture,
( ~ hskp9
| ~ c2_1(a604)
| hskp28
| epred11_0
| c0_1(a604)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_746]) ).
cnf(c_0_845,negated_conjecture,
( ~ hskp9
| ~ c2_1(a604)
| hskp28
| epred11_0
| hskp29
| c0_1(a604)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_746]) ).
cnf(c_0_846,negated_conjecture,
( ~ hskp2
| ~ c2_1(a596)
| epred45_0
| hskp13
| hskp12
| c1_1(a596) ),
inference(spm,[status(thm)],[c_0_747,c_0_748]) ).
cnf(c_0_847,negated_conjecture,
( ~ hskp2
| ~ c2_1(a596)
| epred45_0
| c0_1(a596)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_748]) ).
cnf(c_0_848,negated_conjecture,
( ~ hskp18
| epred36_0
| hskp4
| hskp3
| c0_1(a625)
| c1_1(a625) ),
inference(spm,[status(thm)],[c_0_749,c_0_259]) ).
cnf(c_0_849,negated_conjecture,
( ~ epred35_0
| ~ epred36_0
| ~ epred17_0
| ~ epred44_0
| epred19_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_646,c_0_750]) ).
cnf(c_0_850,negated_conjecture,
( ~ hskp14
| ~ c0_1(a615)
| ~ c2_1(a615)
| hskp11
| epred3_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_751]) ).
cnf(c_0_851,negated_conjecture,
( ~ hskp10
| ~ c0_1(a605)
| hskp11
| epred3_0
| hskp17
| c3_1(a605)
| epred40_0 ),
inference(spm,[status(thm)],[c_0_752,c_0_753]) ).
cnf(c_0_852,negated_conjecture,
( ~ hskp10
| ~ c0_1(a605)
| ~ c2_1(a605)
| hskp11
| epred3_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_753]) ).
cnf(c_0_853,negated_conjecture,
( ~ hskp27
| epred2_0
| hskp11
| c3_1(a690)
| c1_1(a690)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_652,c_0_354]) ).
cnf(c_0_854,negated_conjecture,
( ~ hskp9
| hskp28
| hskp7
| c0_1(a604)
| c3_1(a604) ),
inference(spm,[status(thm)],[c_0_754,c_0_369]) ).
cnf(c_0_855,negated_conjecture,
( ~ hskp12
| hskp19
| hskp7
| c3_1(a609)
| c1_1(a609) ),
inference(spm,[status(thm)],[c_0_755,c_0_276]) ).
cnf(c_0_856,negated_conjecture,
( ~ hskp12
| hskp4
| hskp3
| c0_1(a609)
| c1_1(a609) ),
inference(spm,[status(thm)],[c_0_749,c_0_276]) ).
cnf(c_0_857,negated_conjecture,
( ~ hskp2
| hskp4
| hskp3
| c0_1(a596)
| c1_1(a596) ),
inference(spm,[status(thm)],[c_0_749,c_0_592]) ).
cnf(c_0_858,negated_conjecture,
( ~ hskp24
| ~ c3_1(a651)
| hskp29
| hskp6
| c2_1(a651) ),
inference(spm,[status(thm)],[c_0_756,c_0_367]) ).
cnf(c_0_859,negated_conjecture,
( ~ hskp10
| ~ c0_1(a605)
| hskp28
| hskp4
| c3_1(a605) ),
inference(spm,[status(thm)],[c_0_757,c_0_255]) ).
cnf(c_0_860,negated_conjecture,
( ~ hskp3
| ~ c0_1(a597)
| hskp28
| hskp4
| c3_1(a597) ),
inference(spm,[status(thm)],[c_0_757,c_0_208]) ).
cnf(c_0_861,negated_conjecture,
( ~ hskp24
| ~ c3_1(a651)
| hskp10
| hskp5
| c2_1(a651) ),
inference(spm,[status(thm)],[c_0_758,c_0_367]) ).
cnf(c_0_862,negated_conjecture,
( ~ hskp28
| ~ c3_1(a595)
| c0_1(a595)
| epred52_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_476]) ).
cnf(c_0_863,negated_conjecture,
( ~ hskp24
| ~ c3_1(a651)
| c0_1(a651)
| epred52_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_367]) ).
cnf(c_0_864,negated_conjecture,
( ~ hskp9
| ~ c3_1(a604)
| c0_1(a604)
| epred52_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_368]) ).
cnf(c_0_865,negated_conjecture,
( ~ hskp13
| c2_1(a614)
| c3_1(a614)
| epred51_0 ),
inference(spm,[status(thm)],[c_0_759,c_0_355]) ).
cnf(c_0_866,negated_conjecture,
( ~ c2_1(a609)
| ~ hskp12
| c3_1(a609)
| epred48_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_760]) ).
cnf(c_0_867,negated_conjecture,
( ~ hskp19
| epred46_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_761,c_0_406]),c_0_762]),c_0_763]) ).
cnf(c_0_868,negated_conjecture,
( ~ hskp5
| epred13_0
| epred17_0
| epred34_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_764,c_0_765]) ).
cnf(c_0_869,negated_conjecture,
( ~ hskp29
| hskp18
| epred19_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_273,c_0_766]) ).
cnf(c_0_870,negated_conjecture,
( ~ hskp17
| hskp18
| epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_767]),c_0_768]),c_0_769]) ).
cnf(c_0_871,negated_conjecture,
( epred12_0
| epred24_0
| epred33_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_770]),c_0_771]) ).
cnf(c_0_872,negated_conjecture,
( epred28_0
| epred32_0
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_735,c_0_772]) ).
cnf(c_0_873,negated_conjecture,
( ~ hskp6
| hskp13
| epred30_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_773,c_0_774]) ).
cnf(c_0_874,negated_conjecture,
( ~ hskp4
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_464]),c_0_231]),c_0_232]) ).
cnf(c_0_875,negated_conjecture,
( ~ epred24_0
| epred28_0
| epred31_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_775,c_0_776]) ).
cnf(c_0_876,negated_conjecture,
( ~ epred39_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_466]),c_0_467]),c_0_777]) ).
cnf(c_0_877,negated_conjecture,
( ~ hskp6
| hskp13
| epred30_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_773,c_0_778]) ).
cnf(c_0_878,negated_conjecture,
( ~ hskp5
| epred24_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_779,c_0_780]) ).
cnf(c_0_879,negated_conjecture,
( epred12_0
| epred19_0
| epred22_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_781,c_0_782]),c_0_783]) ).
cnf(c_0_880,negated_conjecture,
( ~ epred24_0
| ~ epred44_0
| ~ epred48_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_784]),c_0_785]) ).
cnf(c_0_881,negated_conjecture,
( ~ hskp28
| epred29_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_786,c_0_595]),c_0_233]) ).
cnf(c_0_882,negated_conjecture,
( ~ epred44_0
| epred24_0
| epred34_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_787]),c_0_788]) ).
cnf(c_0_883,negated_conjecture,
( hskp4
| epred12_0
| epred20_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_789,c_0_204]) ).
cnf(c_0_884,negated_conjecture,
( ~ epred36_0
| ~ epred42_0
| epred31_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_556,c_0_790]) ).
cnf(c_0_885,negated_conjecture,
( epred19_0
| epred31_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_565,c_0_480]) ).
cnf(c_0_886,negated_conjecture,
( epred12_0
| epred19_0
| epred20_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_791]),c_0_288]) ).
cnf(c_0_887,negated_conjecture,
( hskp9
| hskp13
| epred23_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_792,c_0_793]),c_0_137]) ).
cnf(c_0_888,negated_conjecture,
( ~ hskp29
| hskp13
| epred30_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_662,c_0_794]) ).
cnf(c_0_889,negated_conjecture,
( ~ hskp6
| hskp13
| epred30_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_773,c_0_795]) ).
cnf(c_0_890,negated_conjecture,
( epred42_0
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_796]),c_0_797]) ).
cnf(c_0_891,negated_conjecture,
( ~ hskp10
| hskp9
| epred23_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_798,c_0_517]) ).
cnf(c_0_892,negated_conjecture,
( ~ epred24_0
| epred31_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_775,c_0_799]) ).
cnf(c_0_893,negated_conjecture,
( epred27_0
| epred34_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_800,c_0_801]),c_0_802]) ).
cnf(c_0_894,negated_conjecture,
( ~ hskp13
| hskp7
| epred18_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_803,c_0_804]) ).
cnf(c_0_895,negated_conjecture,
( ~ epred36_0
| ~ epred42_0
| epred12_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_805]),c_0_806]) ).
cnf(c_0_896,negated_conjecture,
( ~ hskp13
| hskp28
| epred11_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_803,c_0_745]) ).
cnf(c_0_897,negated_conjecture,
( ~ hskp13
| hskp28
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_807,c_0_745]) ).
cnf(c_0_898,negated_conjecture,
( ~ hskp13
| hskp28
| epred11_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_390,c_0_745]) ).
cnf(c_0_899,negated_conjecture,
( ~ hskp11
| hskp28
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_808]),c_0_809]),c_0_810]) ).
cnf(c_0_900,negated_conjecture,
( ~ hskp9
| epred11_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_746]),c_0_531]) ).
cnf(c_0_901,negated_conjecture,
( ~ hskp3
| hskp28
| epred8_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_549,c_0_437]) ).
cnf(c_0_902,negated_conjecture,
( ~ hskp9
| c3_1(a604)
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_368]),c_0_369]) ).
cnf(c_0_903,negated_conjecture,
( ~ hskp12
| epred8_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_607,c_0_614]) ).
cnf(c_0_904,negated_conjecture,
( ~ hskp28
| epred24_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_811,c_0_812]) ).
cnf(c_0_905,negated_conjecture,
( ~ hskp28
| epred19_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_594,c_0_812]) ).
cnf(c_0_906,negated_conjecture,
( ~ hskp7
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_738]),c_0_813]),c_0_814]) ).
cnf(c_0_907,negated_conjecture,
( hskp30
| hskp3
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_815,c_0_214]) ).
cnf(c_0_908,negated_conjecture,
( epred12_0
| epred21_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_816]) ).
cnf(c_0_909,negated_conjecture,
( ~ hskp4
| hskp0
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_622]),c_0_231]),c_0_232]) ).
cnf(c_0_910,negated_conjecture,
( ~ hskp28
| epred24_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_811,c_0_817]) ).
cnf(c_0_911,negated_conjecture,
( ~ hskp28
| epred19_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_594,c_0_817]) ).
cnf(c_0_912,negated_conjecture,
( ~ epred35_0
| ~ epred36_0
| ~ epred42_0
| epred14_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_556,c_0_818]) ).
cnf(c_0_913,negated_conjecture,
( ~ hskp24
| ~ c0_1(a651)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_367]),c_0_364]) ).
cnf(c_0_914,negated_conjecture,
( ~ hskp13
| epred2_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_803,c_0_391]) ).
cnf(c_0_915,negated_conjecture,
( ~ hskp29
| epred17_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_483,c_0_274]) ).
cnf(c_0_916,negated_conjecture,
( ~ epred24_0
| ~ epred27_0
| ~ epred42_0
| ~ epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_819,c_0_820]),c_0_821]) ).
cnf(c_0_917,negated_conjecture,
( ~ epred35_0
| ~ epred36_0
| epred4_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_822]) ).
cnf(c_0_918,negated_conjecture,
( ~ hskp24
| ~ c0_1(a651)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_367]),c_0_365]) ).
cnf(c_0_919,negated_conjecture,
( ~ epred42_0
| epred4_0
| epred8_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_824]),c_0_825]) ).
cnf(c_0_920,negated_conjecture,
( ~ epred19_0
| ~ epred43_0
| ~ epred51_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_826,c_0_630]),c_0_192]),c_0_139]) ).
cnf(c_0_921,negated_conjecture,
( ~ epred34_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_827,c_0_653]),c_0_433]) ).
cnf(c_0_922,negated_conjecture,
( ~ epred24_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_828,c_0_535]),c_0_358]) ).
cnf(c_0_923,negated_conjecture,
( ~ epred33_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_829,c_0_328]),c_0_433]) ).
cnf(c_0_924,negated_conjecture,
( ~ epred30_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_830,c_0_582]),c_0_315]) ).
cnf(c_0_925,negated_conjecture,
( ~ epred18_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_831,c_0_618]),c_0_139]) ).
cnf(c_0_926,negated_conjecture,
( ~ epred13_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_832,c_0_456]),c_0_298]) ).
cnf(c_0_927,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_833,c_0_545]),c_0_362]) ).
cnf(c_0_928,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_834,c_0_566]),c_0_405]) ).
cnf(c_0_929,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_835,c_0_836,c_0_837,c_0_838,c_0_839,c_0_840,c_0_841,c_0_842,c_0_843,c_0_844,c_0_845,c_0_846,c_0_847,c_0_848,c_0_849,c_0_850,c_0_851,c_0_852,c_0_853,c_0_854,c_0_855,c_0_856,c_0_857,c_0_858,c_0_859,c_0_860,c_0_861,c_0_862,c_0_863,c_0_864,c_0_865,c_0_866,c_0_867,c_0_868,c_0_869,c_0_870,c_0_871,c_0_872,c_0_873,c_0_874,c_0_875,c_0_876,c_0_771,c_0_669,c_0_412,c_0_877,c_0_878,c_0_879,c_0_880,c_0_881,c_0_882,c_0_883,c_0_690,c_0_884,c_0_496,c_0_408,c_0_885,c_0_886,c_0_887,c_0_376,c_0_736,c_0_888,c_0_792,c_0_889,c_0_890,c_0_891,c_0_892,c_0_893,c_0_204,c_0_894,c_0_895,c_0_896,c_0_897,c_0_898,c_0_899,c_0_900,c_0_746,c_0_479,c_0_901,c_0_280,c_0_744,c_0_902,c_0_903,c_0_904,c_0_905,c_0_906,c_0_262,c_0_531,c_0_907,c_0_908,c_0_626,c_0_909,c_0_910,c_0_911,c_0_912,c_0_588,c_0_451,c_0_409,c_0_389,c_0_233,c_0_913,c_0_914,c_0_915,c_0_811,c_0_627,c_0_916,c_0_917,c_0_240,c_0_609,c_0_594,c_0_407,c_0_481,c_0_918,c_0_607,c_0_495,c_0_919,c_0_711,c_0_715,c_0_741,c_0_920,c_0_648,c_0_413,c_0_819,c_0_821,c_0_646,c_0_556,c_0_823,c_0_290,c_0_921,c_0_345,c_0_307,c_0_922,c_0_923,c_0_294,c_0_924,c_0_375,c_0_775,c_0_343,c_0_340,c_0_925,c_0_926,c_0_601,c_0_286,c_0_927,c_0_928,c_0_591,c_0_593,c_0_209,c_0_232,c_0_231,c_0_814,c_0_257,c_0_278,c_0_277,c_0_351,c_0_352,c_0_228,c_0_227,c_0_385,c_0_321,c_0_365,c_0_370,c_0_364,c_0_478,c_0_592,c_0_813,c_0_369,c_0_255,c_0_276,c_0_251,c_0_256,c_0_252,c_0_393,c_0_682,c_0_137]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN471-1 : 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 : n003.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 11:02:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 11.46/1.91 % Version: 3.5.1
% 11.46/1.91 % Preprocessing class: FSLSSLSMSSSNFFN.
% 11.46/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.46/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 11.46/1.91 % Starting new_bool_3 with 300s (1) cores
% 11.46/1.91 % Starting new_bool_1 with 300s (1) cores
% 11.46/1.91 % Starting sh5l with 300s (1) cores
% 11.46/1.91 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 4126389 completed with status 0
% 11.46/1.91 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 11.46/1.91 % Preprocessing class: FSLSSLSMSSSNFFN.
% 11.46/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.46/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 11.46/1.91 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.46/1.91 % No SInE strategy applied
% 11.46/1.91 % Search class: FGHNF-FSMM00-SFFFFFNN
% 11.46/1.91 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 11.46/1.91 % Starting SubtermCWHack with 151s (1) cores
% 11.46/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 11.46/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 11.46/1.91 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 11.46/1.91 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 11.46/1.91 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 4126395 completed with status 0
% 11.46/1.91 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 11.46/1.91 % Preprocessing class: FSLSSLSMSSSNFFN.
% 11.46/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.46/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 11.46/1.91 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.46/1.91 % No SInE strategy applied
% 11.46/1.91 % Search class: FGHNF-FSMM00-SFFFFFNN
% 11.46/1.91 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 11.46/1.91 % Starting SubtermCWHack with 151s (1) cores
% 11.46/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 11.46/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 11.46/1.91 % Preprocessing time : 0.001 s
% 11.46/1.91 % SatCheck found unsatisfiable ground set
% 11.46/1.91
% 11.46/1.91 % Proof found!
% 11.46/1.91 % SZS status Unsatisfiable
% 11.46/1.91 % SZS output start CNFRefutation
% See solution above
% 11.46/1.91 % Parsed axioms : 200
% 11.46/1.91 % Removed by relevancy pruning/SinE : 0
% 11.46/1.91 % Initial clauses : 200
% 11.46/1.91 % Removed in clause preprocessing : 0
% 11.46/1.91 % Initial clauses in saturation : 200
% 11.46/1.91 % Processed clauses : 8809
% 11.46/1.91 % ...of these trivial : 0
% 11.46/1.91 % ...subsumed : 3809
% 11.46/1.91 % ...remaining for further processing : 5000
% 11.46/1.91 % Other redundant clauses eliminated : 0
% 11.46/1.91 % Clauses deleted for lack of memory : 0
% 11.46/1.91 % Backward-subsumed : 1417
% 11.46/1.91 % Backward-rewritten : 57
% 11.46/1.91 % Generated clauses : 60677
% 11.46/1.91 % ...of the previous two non-redundant : 55602
% 11.46/1.91 % ...aggressively subsumed : 0
% 11.46/1.91 % Contextual simplify-reflections : 734
% 11.46/1.91 % Paramodulations : 60587
% 11.46/1.91 % Factorizations : 0
% 11.46/1.91 % NegExts : 0
% 11.46/1.91 % Equation resolutions : 0
% 11.46/1.91 % Disequality decompositions : 0
% 11.46/1.91 % Total rewrite steps : 88
% 11.46/1.91 % ...of those cached : 87
% 11.46/1.91 % Propositional unsat checks : 1
% 11.46/1.91 % Propositional check models : 0
% 11.46/1.91 % Propositional check unsatisfiable : 1
% 11.46/1.91 % Propositional clauses : 48837
% 11.46/1.91 % Propositional clauses after purity: 48194
% 11.46/1.91 % Propositional unsat core size : 175
% 11.46/1.91 % Propositional preprocessing time : 0.000
% 11.46/1.91 % Propositional encoding time : 0.023
% 11.46/1.91 % Propositional solver time : 0.061
% 11.46/1.91 % Success case prop preproc time : 0.000
% 11.46/1.91 % Success case prop encoding time : 0.023
% 11.46/1.91 % Success case prop solver time : 0.061
% 11.46/1.91 % Current number of processed clauses : 3488
% 11.46/1.91 % Positive orientable unit clauses : 1
% 11.46/1.91 % Positive unorientable unit clauses: 0
% 11.46/1.91 % Negative unit clauses : 0
% 11.46/1.91 % Non-unit-clauses : 3487
% 11.46/1.91 % Current number of unprocessed clauses: 45349
% 11.46/1.91 % ...number of literals in the above : 302151
% 11.46/1.91 % Current number of archived formulas : 0
% 11.46/1.91 % Current number of archived clauses : 1474
% 11.46/1.91 % Clause-clause subsumption calls (NU) : 3531164
% 11.46/1.91 % Rec. Clause-clause subsumption calls : 290873
% 11.46/1.91 % Non-unit clause-clause subsumptions : 6036
% 11.46/1.91 % Unit Clause-clause subsumption calls : 5
% 11.46/1.91 % Rewrite failures with RHS unbound : 0
% 11.46/1.91 % BW rewrite match attempts : 1
% 11.46/1.91 % BW rewrite match successes : 1
% 11.46/1.91 % Condensation attempts : 8809
% 11.46/1.91 % Condensation successes : 0
% 11.46/1.91 % Termbank termtop insertions : 552281
% 11.46/1.91 % Search garbage collected termcells : 520
% 11.46/1.91
% 11.46/1.91 % -------------------------------------------------
% 11.46/1.91 % User time : 1.390 s
% 11.46/1.91 % System time : 0.052 s
% 11.46/1.91 % Total time : 1.442 s
% 11.46/1.91 % Maximum resident set size: 4048 pages
% 11.46/1.91
% 11.46/1.91 % -------------------------------------------------
% 11.46/1.91 % User time : 6.954 s
% 11.46/1.91 % System time : 0.177 s
% 11.46/1.91 % Total time : 7.132 s
% 11.46/1.91 % Maximum resident set size: 4864 pages
% 11.46/1.91 % E exiting
%------------------------------------------------------------------------------