%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN510-1 : 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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:25:14 PM UTC 2026
% Result : Unsatisfiable 12.90s 2.21s
% Output : CNFRefutation 12.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 165
% Syntax : Number of formulae : 731 ( 2 unt; 0 def)
% Number of atoms : 2704 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3205 (1232 ~;1936 |; 0 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 70 ( 69 usr; 66 prp; 0-1 aty)
% Number of functors : 27 ( 27 usr; 27 con; 0-0 aty)
% Number of variables : 287 ( 1 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause12,negated_conjecture,
( ~ hskp20
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
cnf(clause1,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause10,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(clause163,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp6
| hskp3
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
cnf(clause157,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| hskp3
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
cnf(clause36,negated_conjecture,
( hskp22
| hskp20
| hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(clause90,negated_conjecture,
( ~ hskp5
| c1_1(a544) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
cnf(clause89,negated_conjecture,
( ~ hskp5
| c0_1(a544) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause147,negated_conjecture,
( ~ ndr1_0
| hskp16
| hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
cnf(clause72,negated_conjecture,
( ~ hskp16
| c1_1(a570) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause117,negated_conjecture,
( ~ hskp16
| ~ c2_1(a570) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause61,negated_conjecture,
( ~ hskp27
| c2_1(a615) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
cnf(clause60,negated_conjecture,
( ~ hskp27
| c0_1(a615) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
cnf(clause96,negated_conjecture,
( ~ hskp27
| ~ c1_1(a615) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause65,negated_conjecture,
( ~ hskp24
| c1_1(a590) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
cnf(clause101,negated_conjecture,
( ~ hskp24
| ~ c2_1(a590) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
cnf(clause49,negated_conjecture,
( ~ hskp31
| c1_1(a563) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause48,negated_conjecture,
( ~ hskp31
| c0_1(a563) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause83,negated_conjecture,
( ~ hskp10
| c1_1(a551) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
cnf(clause84,negated_conjecture,
( ~ hskp10
| c3_1(a551) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
cnf(clause124,negated_conjecture,
( ~ hskp10
| ~ c0_1(a551) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
cnf(clause99,negated_conjecture,
( ~ hskp25
| ~ c1_1(a594) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause64,negated_conjecture,
( ~ hskp25
| c2_1(a594) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause98,negated_conjecture,
( ~ hskp25
| ~ c0_1(a594) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause37,negated_conjecture,
( hskp25
| hskp27
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(clause76,negated_conjecture,
( ~ hskp14
| c3_1(a566) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(clause75,negated_conjecture,
( ~ hskp14
| c2_1(a566) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause120,negated_conjecture,
( ~ hskp14
| ~ c0_1(a566) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause38,negated_conjecture,
( hskp14
| hskp10
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(clause137,negated_conjecture,
( ~ hskp3
| ~ c3_1(a539) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
cnf(clause92,negated_conjecture,
( ~ hskp3
| c0_1(a539) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
cnf(clause136,negated_conjecture,
( ~ hskp3
| ~ c2_1(a539) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
cnf(clause121,negated_conjecture,
( ~ hskp13
| ~ c2_1(a565) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
cnf(clause40,negated_conjecture,
( hskp6
| hskp24
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause188,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
cnf(clause81,negated_conjecture,
( ~ hskp11
| c1_1(a553) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause123,negated_conjecture,
( ~ hskp11
| ~ c2_1(a553) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
cnf(clause82,negated_conjecture,
( ~ hskp11
| c3_1(a553) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause100,negated_conjecture,
( ~ hskp24
| ~ c0_1(a590) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(clause113,negated_conjecture,
( ~ hskp18
| ~ c1_1(a573) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause112,negated_conjecture,
( ~ hskp18
| ~ c0_1(a573) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(clause114,negated_conjecture,
( ~ hskp18
| ~ c3_1(a573) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
cnf(clause132,negated_conjecture,
( ~ hskp6
| ~ c1_1(a546) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
cnf(clause88,negated_conjecture,
( ~ hskp6
| c3_1(a546) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(clause131,negated_conjecture,
( ~ hskp6
| ~ c0_1(a546) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
cnf(clause118,negated_conjecture,
( ~ hskp16
| ~ c3_1(a570) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause191,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp31
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause203,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
cnf(clause69,negated_conjecture,
( ~ hskp20
| c1_1(a580) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
cnf(clause108,negated_conjecture,
( ~ hskp20
| ~ c0_1(a580) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause109,negated_conjecture,
( ~ hskp20
| ~ c3_1(a580) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause126,negated_conjecture,
( ~ hskp9
| ~ c1_1(a549) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(clause125,negated_conjecture,
( ~ hskp9
| ~ c0_1(a549) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause50,negated_conjecture,
( ~ hskp31
| c3_1(a563) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause43,negated_conjecture,
( hskp18
| hskp24
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause127,negated_conjecture,
( ~ hskp9
| ~ c2_1(a549) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
cnf(clause140,negated_conjecture,
( ~ hskp2
| ~ c3_1(a538) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause139,negated_conjecture,
( ~ hskp2
| ~ c2_1(a538) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
cnf(clause58,negated_conjecture,
( ~ hskp28
| c1_1(a541) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
cnf(clause57,negated_conjecture,
( ~ hskp28
| c0_1(a541) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
cnf(clause59,negated_conjecture,
( ~ hskp28
| c2_1(a541) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(clause68,negated_conjecture,
( ~ hskp21
| c3_1(a582) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
cnf(clause67,negated_conjecture,
( ~ hskp21
| c2_1(a582) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause104,negated_conjecture,
( ~ hskp23
| ~ c3_1(a587) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
cnf(clause102,negated_conjecture,
( ~ hskp23
| ~ c0_1(a587) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(clause103,negated_conjecture,
( ~ hskp23
| ~ c2_1(a587) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
cnf(clause186,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
cnf(clause46,negated_conjecture,
( hskp2
| hskp9
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause74,negated_conjecture,
( ~ hskp15
| c1_1(a567) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause119,negated_conjecture,
( ~ hskp15
| ~ c2_1(a567) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause35,negated_conjecture,
( hskp16
| hskp10
| hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
cnf(clause66,negated_conjecture,
( ~ hskp22
| c3_1(a584) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(clause105,negated_conjecture,
( ~ hskp22
| ~ c0_1(a584) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause107,negated_conjecture,
( ~ hskp21
| ~ c1_1(a582) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause133,negated_conjecture,
( ~ hskp5
| ~ c3_1(a544) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause33,negated_conjecture,
( hskp23
| hskp15
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause143,negated_conjecture,
( ~ hskp0
| ~ c3_1(a536) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
cnf(clause94,negated_conjecture,
( ~ hskp0
| c0_1(a536) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
cnf(clause95,negated_conjecture,
( ~ hskp0
| c2_1(a536) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(clause87,negated_conjecture,
( ~ hskp7
| c2_1(a547) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
cnf(clause129,negated_conjecture,
( ~ hskp7
| ~ c0_1(a547) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
cnf(clause130,negated_conjecture,
( ~ hskp7
| ~ c3_1(a547) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
cnf(clause47,negated_conjecture,
( hskp23
| hskp22
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause93,negated_conjecture,
( ~ hskp1
| c2_1(a537) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
cnf(clause141,negated_conjecture,
( ~ hskp1
| ~ c1_1(a537) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
cnf(clause176,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp3
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
cnf(clause97,negated_conjecture,
( ~ hskp26
| ~ c3_1(a604) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
cnf(clause63,negated_conjecture,
( ~ hskp26
| c2_1(a604) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause142,negated_conjecture,
( ~ hskp1
| ~ c3_1(a537) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
cnf(clause154,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp20
| hskp13
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
cnf(clause122,negated_conjecture,
( ~ hskp12
| ~ c1_1(a564) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(clause79,negated_conjecture,
( ~ hskp12
| c0_1(a564) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause155,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp21
| hskp29
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
cnf(clause150,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| hskp29
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
cnf(clause156,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp22
| hskp21
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
cnf(clause168,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp9
| hskp25
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
cnf(clause167,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp14
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause164,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp12
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
cnf(clause173,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
cnf(clause73,negated_conjecture,
( ~ hskp15
| c0_1(a567) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause204,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
cnf(clause106,negated_conjecture,
( ~ hskp22
| ~ c2_1(a584) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(clause78,negated_conjecture,
( ~ hskp13
| c3_1(a565) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause44,negated_conjecture,
( hskp22
| hskp7
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause80,negated_conjecture,
( ~ hskp12
| c3_1(a564) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause56,negated_conjecture,
( ~ hskp29
| c3_1(a552) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
cnf(clause54,negated_conjecture,
( ~ hskp29
| c0_1(a552) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
cnf(clause55,negated_conjecture,
( ~ hskp29
| c2_1(a552) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
cnf(clause174,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp14
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(clause77,negated_conjecture,
( ~ hskp13
| c0_1(a565) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(clause208,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause208) ).
cnf(clause207,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).
cnf(clause202,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
cnf(clause200,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
cnf(clause198,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp12
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
cnf(clause199,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp23
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
cnf(clause189,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c3_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause195,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp3
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
cnf(clause190,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
cnf(clause192,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(clause197,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
cnf(clause196,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp24
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
cnf(clause181,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp2
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
cnf(clause185,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp22
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause177,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
cnf(clause179,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(clause175,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
cnf(clause34,negated_conjecture,
( hskp14
| hskp12
| hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(c_0_128,negated_conjecture,
( ~ hskp20
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause12]) ).
cnf(c_0_129,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause1]) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause10]) ).
cnf(c_0_131,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp6
| hskp3
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause163]) ).
cnf(c_0_132,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| hskp3
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause157]) ).
cnf(c_0_133,negated_conjecture,
( ~ hskp20
| ndr1_0 ),
c_0_128 ).
cnf(c_0_134,negated_conjecture,
( hskp22
| hskp20
| hskp31 ),
clause36 ).
cnf(c_0_135,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
c_0_129 ).
cnf(c_0_136,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
c_0_130 ).
cnf(c_0_137,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp6
| hskp3
| c2_1(X1) ),
c_0_131 ).
cnf(c_0_138,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| hskp3
| c3_1(X1)
| c2_1(X1) ),
c_0_132 ).
fof(c_0_139,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_140,negated_conjecture,
( ~ hskp5
| c1_1(a544) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
cnf(c_0_141,negated_conjecture,
( ~ hskp5
| c0_1(a544) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
fof(c_0_142,plain,
( ~ epred43_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_143,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_136]) ).
cnf(c_0_144,negated_conjecture,
( ~ ndr1_0
| hskp16
| hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause147]) ).
cnf(c_0_145,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| hskp3
| c2_1(X1) ),
inference(csr,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp16
| c1_1(a570) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_147,negated_conjecture,
( ~ hskp16
| ~ c2_1(a570) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
fof(c_0_148,plain,
( ~ epred23_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp31 ) ),
introduced(definition) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp27
| c2_1(a615) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_150,negated_conjecture,
( ~ hskp27
| c0_1(a615) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp27
| ~ c1_1(a615) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_152,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred22_0 ),
inference(split_equiv,[status(thm)],[c_0_139]) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp5
| c1_1(a544) ),
c_0_140 ).
cnf(c_0_154,negated_conjecture,
( ~ hskp5
| c0_1(a544) ),
c_0_141 ).
cnf(c_0_155,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_142]),c_0_143])]) ).
cnf(c_0_156,negated_conjecture,
( ~ ndr1_0
| hskp16
| hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
c_0_144 ).
cnf(c_0_157,negated_conjecture,
( ~ c1_1(X1)
| hskp6
| hskp3
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_143])]) ).
cnf(c_0_158,negated_conjecture,
( ~ hskp16
| c1_1(a570) ),
c_0_146 ).
cnf(c_0_159,negated_conjecture,
( ~ hskp16
| ~ c2_1(a570) ),
c_0_147 ).
cnf(c_0_160,negated_conjecture,
( ~ hskp24
| c1_1(a590) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_161,negated_conjecture,
( ~ hskp24
| ~ c2_1(a590) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_162,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp31
| c1_1(X1)
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_148]),c_0_143])]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp27
| c2_1(a615) ),
c_0_149 ).
cnf(c_0_164,negated_conjecture,
( ~ hskp27
| c0_1(a615) ),
c_0_150 ).
cnf(c_0_165,negated_conjecture,
( ~ hskp27
| ~ c1_1(a615) ),
c_0_151 ).
cnf(c_0_166,negated_conjecture,
( ~ hskp31
| c1_1(a563) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp31
| c0_1(a563) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
fof(c_0_168,plain,
( ~ epred33_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_169,negated_conjecture,
( ~ hskp10
| c1_1(a551) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp10
| c3_1(a551) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp10
| ~ c0_1(a551) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp5
| ~ c2_1(a544)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_173,negated_conjecture,
( ~ hskp5
| c2_1(a544)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_153]),c_0_154]) ).
fof(c_0_174,plain,
( ~ epred44_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_175,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_176,negated_conjecture,
( hskp16
| hskp3
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_143])]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp16
| hskp6
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).
cnf(c_0_178,negated_conjecture,
( ~ hskp24
| c1_1(a590) ),
c_0_160 ).
cnf(c_0_179,negated_conjecture,
( ~ hskp24
| ~ c2_1(a590) ),
c_0_161 ).
cnf(c_0_180,negated_conjecture,
( ~ hskp25
| ~ c1_1(a594) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
fof(c_0_181,plain,
( ~ epred45_0
<=> ! [X3] :
( ~ c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp25
| c2_1(a594) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_183,negated_conjecture,
( ~ hskp25
| ~ c0_1(a594) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_184,negated_conjecture,
( ~ hskp27
| hskp31
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]),c_0_165]) ).
cnf(c_0_185,negated_conjecture,
( hskp25
| hskp27
| hskp5 ),
clause37 ).
cnf(c_0_186,negated_conjecture,
( ~ hskp31
| c1_1(a563) ),
c_0_166 ).
cnf(c_0_187,negated_conjecture,
( ~ hskp31
| c0_1(a563) ),
c_0_167 ).
fof(c_0_188,plain,
( ~ epred24_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp14
| c3_1(a566) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp14
| c2_1(a566) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_191,negated_conjecture,
( ~ hskp14
| ~ c0_1(a566) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_192,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred33_0 ),
inference(split_equiv,[status(thm)],[c_0_168]) ).
cnf(c_0_193,negated_conjecture,
( ~ hskp10
| c1_1(a551) ),
c_0_169 ).
cnf(c_0_194,negated_conjecture,
( ~ hskp10
| c3_1(a551) ),
c_0_170 ).
cnf(c_0_195,negated_conjecture,
( ~ hskp10
| ~ c0_1(a551) ),
c_0_171 ).
cnf(c_0_196,negated_conjecture,
( ~ hskp5
| epred22_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_197,negated_conjecture,
( hskp14
| hskp10
| hskp5 ),
clause38 ).
cnf(c_0_198,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred44_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_174]),c_0_143])]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp3
| ~ c3_1(a539) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
fof(c_0_200,plain,
( ~ epred1_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_201,negated_conjecture,
( ~ hskp3
| c0_1(a539) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp3
| ~ c2_1(a539) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_203,negated_conjecture,
( ~ hskp13
| ~ c2_1(a565) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
cnf(c_0_204,negated_conjecture,
( ~ c3_1(X1)
| hskp3
| c1_1(X1)
| c2_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_175]),c_0_143])]) ).
cnf(c_0_205,negated_conjecture,
( hskp6
| hskp3
| c3_1(X1)
| c2_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_176]),c_0_177]) ).
cnf(c_0_206,negated_conjecture,
( ~ hskp24
| hskp6
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_178]),c_0_179]) ).
cnf(c_0_207,negated_conjecture,
( hskp6
| hskp24
| hskp13 ),
clause40 ).
cnf(c_0_208,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause188]) ).
cnf(c_0_209,negated_conjecture,
( ~ hskp25
| ~ c1_1(a594) ),
c_0_180 ).
cnf(c_0_210,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred45_0 ),
inference(split_equiv,[status(thm)],[c_0_181]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp25
| c2_1(a594) ),
c_0_182 ).
cnf(c_0_212,negated_conjecture,
( ~ hskp25
| ~ c0_1(a594) ),
c_0_183 ).
cnf(c_0_213,negated_conjecture,
( hskp31
| hskp25
| hskp5
| epred23_0 ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_214,negated_conjecture,
( ~ hskp31
| ~ c2_1(a563)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_186]),c_0_187]) ).
cnf(c_0_215,negated_conjecture,
( ~ hskp31
| c2_1(a563)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_186]),c_0_187]) ).
cnf(c_0_216,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred24_0 ),
inference(split_equiv,[status(thm)],[c_0_188]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp14
| c3_1(a566) ),
c_0_189 ).
cnf(c_0_218,negated_conjecture,
( ~ hskp14
| c2_1(a566) ),
c_0_190 ).
cnf(c_0_219,negated_conjecture,
( ~ hskp14
| ~ c0_1(a566) ),
c_0_191 ).
cnf(c_0_220,negated_conjecture,
( ~ hskp10
| epred33_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]),c_0_195]) ).
cnf(c_0_221,negated_conjecture,
( hskp14
| hskp10
| epred22_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_222,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| epred33_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_198]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp11
| c1_1(a553) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_224,negated_conjecture,
( ~ hskp11
| ~ c2_1(a553) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
cnf(c_0_225,negated_conjecture,
( ~ hskp11
| c3_1(a553) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp24
| ~ c0_1(a590) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
fof(c_0_227,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp11 ) ),
introduced(definition) ).
cnf(c_0_228,negated_conjecture,
( ~ hskp18
| ~ c1_1(a573) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
fof(c_0_229,plain,
( ~ epred4_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_230,negated_conjecture,
( ~ hskp18
| ~ c0_1(a573) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp18
| ~ c3_1(a573) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_232,negated_conjecture,
( ~ hskp6
| ~ c1_1(a546) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
fof(c_0_233,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp6
| c3_1(a546) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp6
| ~ c0_1(a546) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
cnf(c_0_236,negated_conjecture,
( ~ hskp3
| ~ c3_1(a539) ),
c_0_199 ).
cnf(c_0_237,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_200]),c_0_143])]) ).
cnf(c_0_238,negated_conjecture,
( ~ hskp3
| c0_1(a539) ),
c_0_201 ).
cnf(c_0_239,negated_conjecture,
( ~ hskp3
| ~ c2_1(a539) ),
c_0_202 ).
cnf(c_0_240,negated_conjecture,
( ~ hskp13
| ~ c2_1(a565) ),
c_0_203 ).
cnf(c_0_241,negated_conjecture,
( hskp6
| hskp3
| c2_1(X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_157]) ).
cnf(c_0_242,negated_conjecture,
( hskp13
| hskp6
| hskp3 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp16
| ~ c3_1(a570) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_244,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp31
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause191]) ).
cnf(c_0_245,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2) ),
c_0_208 ).
cnf(c_0_246,negated_conjecture,
( ~ hskp25
| epred45_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]),c_0_212]) ).
cnf(c_0_247,negated_conjecture,
( hskp31
| hskp25
| epred22_0
| epred23_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_213]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp31
| epred22_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_249,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause203]) ).
cnf(c_0_250,negated_conjecture,
( ~ hskp14
| epred24_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]),c_0_219]) ).
cnf(c_0_251,negated_conjecture,
( hskp14
| epred22_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp14
| epred33_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_217]),c_0_219]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp11
| c1_1(a553) ),
c_0_223 ).
cnf(c_0_254,negated_conjecture,
( ~ hskp11
| ~ c2_1(a553) ),
c_0_224 ).
cnf(c_0_255,negated_conjecture,
( ~ hskp11
| c3_1(a553) ),
c_0_225 ).
cnf(c_0_256,negated_conjecture,
( ~ hskp24
| ~ c0_1(a590) ),
c_0_226 ).
cnf(c_0_257,negated_conjecture,
( ~ c1_1(X1)
| hskp11
| c0_1(X1)
| c3_1(X1)
| epred30_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_227]),c_0_143])]) ).
cnf(c_0_258,negated_conjecture,
( ~ hskp20
| c1_1(a580) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp20
| ~ c0_1(a580) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
cnf(c_0_260,negated_conjecture,
( ~ hskp20
| ~ c3_1(a580) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp18
| ~ c1_1(a573) ),
c_0_228 ).
cnf(c_0_262,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_229]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp18
| ~ c0_1(a573) ),
c_0_230 ).
cnf(c_0_264,negated_conjecture,
( ~ hskp18
| ~ c3_1(a573) ),
c_0_231 ).
cnf(c_0_265,negated_conjecture,
( ~ hskp9
| ~ c1_1(a549) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
cnf(c_0_266,negated_conjecture,
( ~ hskp9
| ~ c0_1(a549) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
cnf(c_0_267,negated_conjecture,
( ~ hskp6
| ~ c1_1(a546) ),
c_0_232 ).
cnf(c_0_268,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_233]) ).
cnf(c_0_269,negated_conjecture,
( ~ hskp6
| c3_1(a546) ),
c_0_234 ).
cnf(c_0_270,negated_conjecture,
( ~ hskp6
| ~ c0_1(a546) ),
c_0_235 ).
cnf(c_0_271,negated_conjecture,
( ~ hskp3
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]),c_0_239]) ).
cnf(c_0_272,negated_conjecture,
( hskp6
| hskp3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp16
| ~ c3_1(a570) ),
c_0_243 ).
cnf(c_0_274,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp31
| c0_1(X2)
| c1_1(X1) ),
c_0_244 ).
cnf(c_0_275,negated_conjecture,
( ~ epred22_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_245,c_0_227]),c_0_139]) ).
cnf(c_0_276,negated_conjecture,
( epred22_0
| epred23_0
| epred43_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]) ).
cnf(c_0_277,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_249 ).
cnf(c_0_278,negated_conjecture,
( epred22_0
| epred24_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_279,negated_conjecture,
( epred22_0
| epred33_0
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_251]) ).
cnf(c_0_280,negated_conjecture,
( ~ hskp11
| ~ c0_1(a553)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_253]),c_0_254]) ).
cnf(c_0_281,negated_conjecture,
( ~ hskp11
| c0_1(a553)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_253]),c_0_255]) ).
cnf(c_0_282,negated_conjecture,
( ~ hskp24
| ~ c3_1(a590)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_178]),c_0_256]) ).
cnf(c_0_283,negated_conjecture,
( ~ hskp24
| hskp11
| c3_1(a590)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_178]),c_0_256]) ).
fof(c_0_284,plain,
( ~ epred2_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_285,negated_conjecture,
( ~ hskp31
| c3_1(a563) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp20
| c1_1(a580) ),
c_0_258 ).
cnf(c_0_287,negated_conjecture,
( ~ hskp20
| ~ c0_1(a580) ),
c_0_259 ).
cnf(c_0_288,negated_conjecture,
( ~ hskp20
| ~ c3_1(a580) ),
c_0_260 ).
cnf(c_0_289,negated_conjecture,
( ~ hskp18
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]),c_0_264]) ).
cnf(c_0_290,negated_conjecture,
( hskp18
| hskp24
| hskp3 ),
clause43 ).
cnf(c_0_291,negated_conjecture,
( ~ hskp18
| ~ c2_1(a573)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_210]),c_0_263]) ).
cnf(c_0_292,negated_conjecture,
( ~ hskp18
| hskp6
| hskp3
| c2_1(a573) ),
inference(spm,[status(thm)],[c_0_264,c_0_205]) ).
cnf(c_0_293,negated_conjecture,
( ~ hskp9
| ~ c1_1(a549) ),
c_0_265 ).
cnf(c_0_294,negated_conjecture,
( ~ hskp9
| ~ c0_1(a549) ),
c_0_266 ).
cnf(c_0_295,negated_conjecture,
( ~ hskp6
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_269]),c_0_270]) ).
cnf(c_0_296,negated_conjecture,
( hskp6
| c3_1(X1)
| c2_1(X1)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_205]) ).
cnf(c_0_297,negated_conjecture,
( ~ hskp9
| ~ c2_1(a549) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
cnf(c_0_298,negated_conjecture,
( ~ hskp2
| ~ c3_1(a538) ),
inference(fof_simplification,[status(thm)],[clause140]) ).
cnf(c_0_299,negated_conjecture,
( ~ hskp2
| ~ c2_1(a538) ),
inference(fof_simplification,[status(thm)],[clause139]) ).
cnf(c_0_300,negated_conjecture,
( ~ hskp28
| c1_1(a541) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_301,negated_conjecture,
( ~ hskp28
| c0_1(a541) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_302,negated_conjecture,
( ~ hskp28
| c2_1(a541) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_303,negated_conjecture,
( hskp3
| c1_1(a546)
| c2_1(a546)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_269]),c_0_272]) ).
cnf(c_0_304,negated_conjecture,
( ~ hskp16
| ~ c0_1(a570)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_158]),c_0_159]) ).
cnf(c_0_305,negated_conjecture,
( ~ hskp16
| hskp11
| c0_1(a570)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_158]),c_0_273]) ).
cnf(c_0_306,negated_conjecture,
( ~ epred23_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_274,c_0_148]),c_0_188]) ).
cnf(c_0_307,negated_conjecture,
( ~ epred30_0
| epred23_0
| epred43_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_308,negated_conjecture,
( ~ epred24_0
| ~ epred44_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_277,c_0_174]),c_0_181]),c_0_188]) ).
cnf(c_0_309,negated_conjecture,
( ~ epred30_0
| epred24_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_278]) ).
cnf(c_0_310,negated_conjecture,
( ~ epred30_0
| epred33_0
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_279]) ).
cnf(c_0_311,negated_conjecture,
( ~ hskp11
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_312,negated_conjecture,
( ~ hskp24
| hskp11
| epred30_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_313,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_284]) ).
cnf(c_0_314,negated_conjecture,
( ~ hskp31
| c3_1(a563) ),
c_0_285 ).
cnf(c_0_315,negated_conjecture,
( ~ hskp20
| hskp11
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_286]),c_0_287]),c_0_288]) ).
cnf(c_0_316,negated_conjecture,
( hskp24
| hskp3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_317,negated_conjecture,
( ~ hskp18
| hskp6
| hskp3
| epred45_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_318,negated_conjecture,
( ~ hskp21
| c3_1(a582) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_319,negated_conjecture,
( ~ hskp21
| c2_1(a582) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp23
| ~ c3_1(a587) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
fof(c_0_321,plain,
( ~ epred8_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_322,negated_conjecture,
( ~ hskp23
| ~ c0_1(a587) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp23
| ~ c2_1(a587) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
cnf(c_0_324,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_325,negated_conjecture,
( ~ hskp9
| ~ c3_1(a549)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_268]),c_0_294]) ).
cnf(c_0_326,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| epred1_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp9
| ~ c2_1(a549) ),
c_0_297 ).
cnf(c_0_328,negated_conjecture,
( hskp2
| hskp9
| hskp24 ),
clause46 ).
cnf(c_0_329,negated_conjecture,
( ~ hskp2
| ~ c3_1(a538) ),
c_0_298 ).
cnf(c_0_330,negated_conjecture,
( ~ hskp2
| ~ c2_1(a538) ),
c_0_299 ).
fof(c_0_331,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp2 ) ),
introduced(definition) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp15
| c1_1(a567) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_333,negated_conjecture,
( ~ hskp15
| ~ c2_1(a567) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp28
| c1_1(a541) ),
c_0_300 ).
cnf(c_0_335,negated_conjecture,
( ~ hskp28
| c0_1(a541) ),
c_0_301 ).
cnf(c_0_336,negated_conjecture,
( ~ hskp28
| c2_1(a541) ),
c_0_302 ).
cnf(c_0_337,negated_conjecture,
( ~ hskp6
| ~ c2_1(a546)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_269]),c_0_270]) ).
cnf(c_0_338,negated_conjecture,
( hskp3
| c2_1(a546)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_303]),c_0_272]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp16
| hskp11
| epred30_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_340,negated_conjecture,
( hskp16
| hskp10
| hskp31 ),
clause35 ).
cnf(c_0_341,negated_conjecture,
( ~ epred24_0
| ~ epred30_0
| epred43_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_342,negated_conjecture,
( ~ epred30_0
| ~ epred45_0
| epred33_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_310]) ).
cnf(c_0_343,negated_conjecture,
( ~ hskp24
| epred30_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_344,negated_conjecture,
( ~ hskp22
| c3_1(a584) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
cnf(c_0_345,negated_conjecture,
( ~ hskp22
| ~ c0_1(a584) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
cnf(c_0_346,negated_conjecture,
( ~ hskp31
| ~ c2_1(a563)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_187]) ).
cnf(c_0_347,negated_conjecture,
( hskp31
| hskp22
| hskp11
| epred30_0 ),
inference(spm,[status(thm)],[c_0_315,c_0_134]) ).
cnf(c_0_348,negated_conjecture,
( hskp6
| hskp3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_316]) ).
cnf(c_0_349,negated_conjecture,
( ~ hskp6
| ~ c2_1(a546)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_210]),c_0_270]) ).
cnf(c_0_350,negated_conjecture,
( hskp6
| hskp3
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_290]),c_0_206]) ).
cnf(c_0_351,negated_conjecture,
( ~ hskp21
| c3_1(a582) ),
c_0_318 ).
cnf(c_0_352,negated_conjecture,
( ~ hskp21
| c2_1(a582) ),
c_0_319 ).
cnf(c_0_353,negated_conjecture,
( ~ hskp23
| ~ c3_1(a587) ),
c_0_320 ).
cnf(c_0_354,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_321]) ).
cnf(c_0_355,negated_conjecture,
( ~ hskp23
| ~ c0_1(a587) ),
c_0_322 ).
cnf(c_0_356,negated_conjecture,
( ~ hskp23
| ~ c2_1(a587) ),
c_0_323 ).
cnf(c_0_357,negated_conjecture,
( ~ hskp21
| ~ c1_1(a582) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
cnf(c_0_358,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X2)
| c2_1(X2) ),
c_0_324 ).
cnf(c_0_359,negated_conjecture,
( ~ hskp9
| epred1_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_327]) ).
cnf(c_0_360,negated_conjecture,
( hskp9
| hskp6
| hskp3
| hskp2 ),
inference(spm,[status(thm)],[c_0_206,c_0_328]) ).
cnf(c_0_361,negated_conjecture,
( ~ hskp2
| epred1_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_326]),c_0_330]) ).
fof(c_0_362,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp22 ) ),
introduced(definition) ).
cnf(c_0_363,negated_conjecture,
( ~ hskp5
| ~ c3_1(a544) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_364,negated_conjecture,
( hskp2
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred21_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_331]),c_0_143])]) ).
cnf(c_0_365,negated_conjecture,
( ~ hskp15
| c1_1(a567) ),
c_0_332 ).
cnf(c_0_366,negated_conjecture,
( ~ hskp15
| ~ c2_1(a567) ),
c_0_333 ).
cnf(c_0_367,negated_conjecture,
( ~ hskp28
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_334]),c_0_335]),c_0_336]) ).
cnf(c_0_368,negated_conjecture,
( hskp23
| hskp15
| hskp28 ),
clause33 ).
cnf(c_0_369,negated_conjecture,
( hskp3
| epred3_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_272]) ).
cnf(c_0_370,negated_conjecture,
( hskp31
| hskp11
| hskp10
| epred30_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_371,negated_conjecture,
( ~ epred30_0
| epred33_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_309]),c_0_342]) ).
cnf(c_0_372,negated_conjecture,
( hskp3
| epred4_0
| epred30_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_316]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp6
| epred33_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_269]),c_0_270]) ).
cnf(c_0_374,negated_conjecture,
( hskp6
| epred1_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp22
| c3_1(a584) ),
c_0_344 ).
cnf(c_0_376,negated_conjecture,
( ~ hskp22
| ~ c0_1(a584) ),
c_0_345 ).
cnf(c_0_377,negated_conjecture,
( ~ hskp31
| epred2_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_346,c_0_215]) ).
cnf(c_0_378,negated_conjecture,
( hskp31
| hskp22
| epred30_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_311,c_0_347]) ).
cnf(c_0_379,negated_conjecture,
( hskp6
| epred1_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_348]) ).
cnf(c_0_380,negated_conjecture,
( hskp3
| epred3_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_338]),c_0_350]) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp0
| ~ c3_1(a536) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
fof(c_0_382,plain,
( ~ epred50_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_383,negated_conjecture,
( ~ hskp0
| c0_1(a536) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
cnf(c_0_384,negated_conjecture,
( ~ hskp0
| c2_1(a536) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
fof(c_0_385,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp7
| c2_1(a547) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_387,negated_conjecture,
( ~ hskp7
| ~ c0_1(a547) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
cnf(c_0_388,negated_conjecture,
( ~ hskp7
| ~ c3_1(a547) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
cnf(c_0_389,negated_conjecture,
( ~ hskp21
| ~ c0_1(a582)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_351]),c_0_352]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp21
| c0_1(a582)
| epred33_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_351]) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp23
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_355]),c_0_356]) ).
cnf(c_0_392,negated_conjecture,
( hskp23
| hskp22
| hskp21 ),
clause47 ).
cnf(c_0_393,negated_conjecture,
( ~ hskp21
| ~ c1_1(a582) ),
c_0_357 ).
cnf(c_0_394,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_358,c_0_200]),c_0_284]) ).
cnf(c_0_395,negated_conjecture,
( epred1_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_295]),c_0_271]),c_0_361]) ).
fof(c_0_396,plain,
( ~ epred37_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| hskp23 ) ),
introduced(definition) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp1
| c2_1(a537) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp1
| ~ c1_1(a537) ),
inference(fof_simplification,[status(thm)],[clause141]) ).
fof(c_0_399,plain,
( ~ epred34_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_400,negated_conjecture,
( ~ c1_1(X1)
| hskp22
| c3_1(X1)
| c2_1(X1)
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_362]),c_0_143])]) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp5
| ~ c3_1(a544) ),
c_0_363 ).
fof(c_0_402,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp6 ) ),
introduced(definition) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp9
| hskp2
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_364]),c_0_294]),c_0_327]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp2
| hskp6
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_205]),c_0_330]) ).
cnf(c_0_405,negated_conjecture,
( ~ hskp15
| hskp6
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_365]),c_0_366]) ).
cnf(c_0_406,negated_conjecture,
( hskp23
| hskp15
| epred22_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp23
| hskp6
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_205]),c_0_356]) ).
cnf(c_0_408,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp3
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_409,negated_conjecture,
( epred1_0
| epred3_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_369]) ).
cnf(c_0_410,negated_conjecture,
( hskp31
| epred33_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_370]),c_0_220]),c_0_371]) ).
cnf(c_0_411,negated_conjecture,
( epred1_0
| epred4_0
| epred33_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_372]),c_0_371]) ).
cnf(c_0_412,negated_conjecture,
( epred1_0
| epred3_0
| epred33_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_413,negated_conjecture,
( ~ hskp22
| epred33_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_375]),c_0_376]) ).
cnf(c_0_414,negated_conjecture,
( hskp22
| epred2_0
| epred33_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_371]) ).
cnf(c_0_415,negated_conjecture,
( epred1_0
| epred4_0
| epred33_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_379]) ).
cnf(c_0_416,negated_conjecture,
( epred1_0
| epred3_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_380]) ).
cnf(c_0_417,negated_conjecture,
( ~ hskp26
| ~ c3_1(a604) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
cnf(c_0_418,negated_conjecture,
( ~ hskp26
| c2_1(a604) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_419,negated_conjecture,
( ~ hskp0
| ~ c3_1(a536) ),
c_0_381 ).
cnf(c_0_420,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred50_0 ),
inference(split_equiv,[status(thm)],[c_0_382]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp0
| c0_1(a536) ),
c_0_383 ).
cnf(c_0_422,negated_conjecture,
( ~ hskp0
| c2_1(a536) ),
c_0_384 ).
cnf(c_0_423,negated_conjecture,
( ~ c2_1(X1)
| hskp0
| c0_1(X1)
| c3_1(X1)
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_143])]) ).
cnf(c_0_424,negated_conjecture,
( ~ hskp7
| c2_1(a547) ),
c_0_386 ).
cnf(c_0_425,negated_conjecture,
( ~ hskp7
| ~ c0_1(a547) ),
c_0_387 ).
cnf(c_0_426,negated_conjecture,
( ~ hskp7
| ~ c3_1(a547) ),
c_0_388 ).
fof(c_0_427,plain,
( ~ epred12_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp1 ) ),
introduced(definition) ).
fof(c_0_428,plain,
( ~ epred42_0
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp1
| ~ c3_1(a537) ),
inference(fof_simplification,[status(thm)],[clause142]) ).
fof(c_0_430,plain,
( ~ epred5_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp21
| epred2_0
| epred33_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_432,negated_conjecture,
( hskp22
| hskp21
| epred8_0 ),
inference(spm,[status(thm)],[c_0_391,c_0_392]) ).
cnf(c_0_433,negated_conjecture,
( ~ hskp21
| c0_1(a582)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_268]),c_0_351]) ).
cnf(c_0_434,negated_conjecture,
( ~ epred2_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_395]) ).
cnf(c_0_435,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp23
| c1_1(X1)
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_396]),c_0_143])]) ).
cnf(c_0_436,negated_conjecture,
( ~ hskp1
| c2_1(a537) ),
c_0_397 ).
cnf(c_0_437,negated_conjecture,
( ~ hskp1
| ~ c1_1(a537) ),
c_0_398 ).
cnf(c_0_438,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp3
| c2_1(X1)
| epred34_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_399]),c_0_143])]) ).
cnf(c_0_439,negated_conjecture,
( ~ hskp5
| hskp22
| c2_1(a544)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_153]),c_0_401]) ).
cnf(c_0_440,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp6
| c2_1(X1)
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_402]),c_0_143])]) ).
fof(c_0_441,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X2)
| hskp13 ) ),
introduced(definition) ).
cnf(c_0_442,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp20
| hskp13
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause154]) ).
fof(c_0_443,plain,
( ~ epred41_0
<=> ! [X3] :
( ~ c1_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_444,negated_conjecture,
( ~ hskp12
| ~ c1_1(a564) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
fof(c_0_445,plain,
( ~ epred10_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_446,negated_conjecture,
( ~ hskp12
| c0_1(a564) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
fof(c_0_447,plain,
( ~ epred46_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_448,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp21
| hskp29
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause155]) ).
cnf(c_0_449,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| hskp29
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause150]) ).
cnf(c_0_450,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp22
| hskp21
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause156]) ).
cnf(c_0_451,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp9
| hskp25
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_452,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp14
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_453,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp12
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause164]) ).
cnf(c_0_454,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| hskp10 ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_455,negated_conjecture,
( hskp6
| hskp3
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_360]),c_0_404]) ).
cnf(c_0_456,negated_conjecture,
( hskp6
| hskp3
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_407]) ).
cnf(c_0_457,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp3
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_408 ).
cnf(c_0_458,negated_conjecture,
( ~ epred2_0
| epred3_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_409]) ).
cnf(c_0_459,negated_conjecture,
( epred2_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_377,c_0_410]) ).
cnf(c_0_460,negated_conjecture,
( ~ epred2_0
| epred4_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_411]) ).
cnf(c_0_461,negated_conjecture,
( ~ epred2_0
| epred3_0
| epred33_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_412]) ).
cnf(c_0_462,negated_conjecture,
( epred2_0
| epred33_0
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_413,c_0_414]) ).
cnf(c_0_463,negated_conjecture,
( ~ epred2_0
| epred4_0
| epred33_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_415]) ).
cnf(c_0_464,negated_conjecture,
( ~ epred2_0
| epred3_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_416]) ).
cnf(c_0_465,negated_conjecture,
( ~ hskp26
| ~ c3_1(a604) ),
c_0_417 ).
cnf(c_0_466,negated_conjecture,
( ~ hskp26
| c2_1(a604) ),
c_0_418 ).
cnf(c_0_467,negated_conjecture,
( ~ hskp0
| epred50_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_421]),c_0_422]) ).
cnf(c_0_468,negated_conjecture,
( ~ hskp7
| hskp0
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_425]),c_0_426]) ).
cnf(c_0_469,negated_conjecture,
( ~ hskp15
| c0_1(a567) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_470,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| epred2_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_420]) ).
fof(c_0_471,plain,
( ~ epred25_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| hskp24 ) ),
introduced(definition) ).
cnf(c_0_472,negated_conjecture,
( hskp1
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_427]),c_0_143])]) ).
cnf(c_0_473,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred42_0 ),
inference(split_equiv,[status(thm)],[c_0_428]) ).
cnf(c_0_474,negated_conjecture,
( ~ hskp1
| ~ c3_1(a537) ),
c_0_429 ).
cnf(c_0_475,negated_conjecture,
( hskp0
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_430]),c_0_143])]) ).
fof(c_0_476,plain,
( ~ epred13_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_477,plain,
( ~ epred26_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_478,negated_conjecture,
( ~ hskp31
| hskp6
| hskp3
| c2_1(a563) ),
inference(spm,[status(thm)],[c_0_157,c_0_186]) ).
cnf(c_0_479,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause204]) ).
cnf(c_0_480,negated_conjecture,
( epred2_0
| epred8_0
| epred33_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_413]) ).
cnf(c_0_481,negated_conjecture,
( ~ hskp22
| ~ c2_1(a584) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
cnf(c_0_482,negated_conjecture,
( ~ hskp21
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_433]),c_0_434]) ).
cnf(c_0_483,negated_conjecture,
( hskp22
| hskp21
| hskp6
| hskp3 ),
inference(spm,[status(thm)],[c_0_407,c_0_392]) ).
cnf(c_0_484,negated_conjecture,
( ~ hskp21
| c0_1(a582)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_198]),c_0_351]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp1
| ~ c0_1(a537)
| hskp23
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_436]),c_0_437]) ).
cnf(c_0_486,negated_conjecture,
( ~ hskp1
| c0_1(a537)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_210]),c_0_436]) ).
cnf(c_0_487,negated_conjecture,
( ~ hskp10
| ~ c2_1(a551)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_194]),c_0_195]) ).
cnf(c_0_488,negated_conjecture,
( ~ hskp10
| hskp3
| c2_1(a551)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_193]),c_0_194]) ).
cnf(c_0_489,negated_conjecture,
( ~ hskp5
| hskp22
| epred14_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_439]) ).
cnf(c_0_490,negated_conjecture,
( ~ hskp5
| hskp6
| c2_1(a544)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_153]),c_0_154]) ).
cnf(c_0_491,negated_conjecture,
( ~ c0_1(X1)
| hskp13
| c1_1(X1)
| c3_1(X1)
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_441]),c_0_143])]) ).
cnf(c_0_492,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp20
| hskp13
| c3_1(X1)
| c1_1(X1) ),
c_0_442 ).
cnf(c_0_493,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred41_0 ),
inference(split_equiv,[status(thm)],[c_0_443]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp12
| ~ c1_1(a564) ),
c_0_444 ).
cnf(c_0_495,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_445]) ).
cnf(c_0_496,negated_conjecture,
( ~ hskp12
| c0_1(a564) ),
c_0_446 ).
cnf(c_0_497,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred46_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_447]),c_0_143])]) ).
cnf(c_0_498,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp21
| hskp29
| c3_1(X1)
| c1_1(X1) ),
c_0_448 ).
cnf(c_0_499,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| hskp29
| c2_1(X1)
| c0_1(X1) ),
c_0_449 ).
cnf(c_0_500,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp22
| hskp21
| c3_1(X1)
| c2_1(X1) ),
c_0_450 ).
cnf(c_0_501,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp9
| hskp25
| c3_1(X1) ),
c_0_451 ).
cnf(c_0_502,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp14
| c3_1(X1) ),
c_0_452 ).
cnf(c_0_503,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp12
| c3_1(X1) ),
c_0_453 ).
cnf(c_0_504,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| hskp10 ),
c_0_454 ).
fof(c_0_505,plain,
( ~ epred51_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ ndr1_0
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp13
| c3_1(a565) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
fof(c_0_507,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp14 ) ),
introduced(definition) ).
fof(c_0_508,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| c0_1(X2)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_509,negated_conjecture,
( ~ hskp6
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_198]),c_0_269]),c_0_270]) ).
cnf(c_0_510,negated_conjecture,
( hskp6
| epred1_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_455]) ).
cnf(c_0_511,negated_conjecture,
( hskp6
| epred1_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_456]) ).
cnf(c_0_512,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_457,c_0_175]),c_0_229]) ).
cnf(c_0_513,negated_conjecture,
( epred3_0
| epred24_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_458,c_0_459]) ).
cnf(c_0_514,negated_conjecture,
( epred4_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_459]) ).
cnf(c_0_515,negated_conjecture,
( epred3_0
| epred33_0
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_516,negated_conjecture,
( epred4_0
| epred33_0
| epred43_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_462]) ).
cnf(c_0_517,negated_conjecture,
( epred3_0
| epred33_0
| epred43_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_464,c_0_459]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp26
| ~ c0_1(a604)
| epred50_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_420]),c_0_466]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp26
| hskp0
| c0_1(a604)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_466]),c_0_465]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp7
| epred36_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_467,c_0_468]) ).
cnf(c_0_521,negated_conjecture,
( hskp22
| hskp7
| hskp26 ),
clause44 ).
cnf(c_0_522,negated_conjecture,
( ~ hskp15
| c0_1(a567) ),
c_0_469 ).
cnf(c_0_523,negated_conjecture,
( ~ hskp28
| epred2_0
| epred50_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_336]),c_0_335]) ).
fof(c_0_524,plain,
( ~ epred40_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_525,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| hskp14 ) ),
introduced(definition) ).
cnf(c_0_526,negated_conjecture,
( ~ c1_1(X1)
| hskp24
| c3_1(X1)
| c2_1(X1)
| epred25_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_471]),c_0_143])]) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp1
| ~ c0_1(a537)
| hskp31
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_436]),c_0_437]) ).
cnf(c_0_528,negated_conjecture,
( ~ hskp6
| hskp1
| c2_1(a546)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_472]),c_0_270]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp1
| ~ c0_1(a537)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_473]),c_0_474]) ).
cnf(c_0_530,negated_conjecture,
( ~ hskp1
| c0_1(a537)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_262]),c_0_474]) ).
fof(c_0_531,plain,
( ~ epred9_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c0_1(X2)
| hskp6 ) ),
introduced(definition) ).
cnf(c_0_532,negated_conjecture,
( ~ hskp6
| hskp0
| c2_1(a546)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_475]),c_0_270]) ).
cnf(c_0_533,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred13_0 ),
inference(split_equiv,[status(thm)],[c_0_476]) ).
cnf(c_0_534,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred26_0 ),
inference(split_equiv,[status(thm)],[c_0_477]) ).
cnf(c_0_535,negated_conjecture,
( ~ hskp21
| c0_1(a582)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_351]),c_0_352]) ).
cnf(c_0_536,negated_conjecture,
( ~ hskp10
| hskp6
| hskp3
| c2_1(a551) ),
inference(spm,[status(thm)],[c_0_157,c_0_193]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp31
| hskp6
| hskp3
| epred2_0 ),
inference(spm,[status(thm)],[c_0_346,c_0_478]) ).
cnf(c_0_538,negated_conjecture,
( hskp31
| hskp10
| hskp6
| hskp3 ),
inference(spm,[status(thm)],[c_0_177,c_0_340]) ).
cnf(c_0_539,negated_conjecture,
( ~ hskp12
| c3_1(a564) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_540,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2) ),
c_0_479 ).
cnf(c_0_541,negated_conjecture,
( epred3_0
| epred8_0
| epred33_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_461,c_0_480]) ).
cnf(c_0_542,negated_conjecture,
( epred4_0
| epred8_0
| epred33_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_480]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp22
| ~ c2_1(a584) ),
c_0_481 ).
cnf(c_0_544,negated_conjecture,
( hskp3
| c0_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_268]),c_0_205]),c_0_295]) ).
cnf(c_0_545,negated_conjecture,
( hskp22
| hskp3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_483]),c_0_295]) ).
cnf(c_0_546,negated_conjecture,
( ~ hskp29
| c3_1(a552) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_547,negated_conjecture,
( ~ hskp29
| c0_1(a552) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_548,negated_conjecture,
( ~ hskp29
| c2_1(a552) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_549,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp14
| hskp20 ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp13
| c0_1(a565) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_551,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3) ),
inference(fof_simplification,[status(thm)],[clause208]) ).
cnf(c_0_552,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause207]) ).
cnf(c_0_553,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause202]) ).
cnf(c_0_554,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14 ),
inference(fof_simplification,[status(thm)],[clause200]) ).
cnf(c_0_555,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp12
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause198]) ).
cnf(c_0_556,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp23
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause199]) ).
cnf(c_0_557,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c3_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_558,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp3
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause195]) ).
cnf(c_0_559,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause190]) ).
cnf(c_0_560,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
cnf(c_0_561,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause197]) ).
cnf(c_0_562,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp24
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause196]) ).
cnf(c_0_563,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp2
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_564,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp22
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_565,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause177]) ).
cnf(c_0_566,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
cnf(c_0_567,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause175]) ).
cnf(c_0_568,negated_conjecture,
( ~ hskp21
| epred2_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_389,c_0_484]) ).
cnf(c_0_569,negated_conjecture,
( ~ hskp1
| hskp23
| epred37_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_485,c_0_486]) ).
cnf(c_0_570,negated_conjecture,
( ~ hskp9
| hskp1
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_472]),c_0_294]),c_0_327]) ).
cnf(c_0_571,negated_conjecture,
( ~ hskp10
| hskp3
| epred24_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_487,c_0_488]) ).
cnf(c_0_572,negated_conjecture,
( hskp22
| hskp14
| hskp10
| epred14_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_489,c_0_197]) ).
cnf(c_0_573,negated_conjecture,
( ~ c0_1(X1)
| hskp6
| c3_1(X1)
| c2_1(X1)
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_473]) ).
cnf(c_0_574,negated_conjecture,
( ~ hskp5
| hskp6
| epred22_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_490]) ).
cnf(c_0_575,negated_conjecture,
( ~ hskp3
| hskp13
| c1_1(a539)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_238]),c_0_236]) ).
cnf(c_0_576,negated_conjecture,
( ~ c0_1(X1)
| hskp20
| hskp13
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_492,c_0_143])]) ).
cnf(c_0_577,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred6_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_493,c_0_268]) ).
cnf(c_0_578,negated_conjecture,
( ~ c3_1(X1)
| hskp0
| c0_1(X1)
| c2_1(X1)
| epred5_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_475]) ).
cnf(c_0_579,negated_conjecture,
( ~ hskp12
| ~ c2_1(a564)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_496]) ).
cnf(c_0_580,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| epred1_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_497,c_0_237]) ).
cnf(c_0_581,negated_conjecture,
( ~ c2_1(X1)
| hskp29
| hskp21
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_498,c_0_143])]) ).
cnf(c_0_582,negated_conjecture,
( ~ c3_1(X1)
| hskp29
| hskp11
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_499,c_0_143])]) ).
cnf(c_0_583,negated_conjecture,
( ~ c0_1(X1)
| hskp22
| hskp21
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_143])]) ).
cnf(c_0_584,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp25
| hskp9
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_501,c_0_143])]) ).
cnf(c_0_585,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp21
| hskp14
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_502,c_0_143])]) ).
cnf(c_0_586,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp21
| hskp12
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_503,c_0_143])]) ).
cnf(c_0_587,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp14
| hskp10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_504,c_0_143])]) ).
cnf(c_0_588,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred51_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_505]),c_0_143])]) ).
cnf(c_0_589,negated_conjecture,
( ~ hskp13
| c3_1(a565) ),
c_0_506 ).
cnf(c_0_590,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp14
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_507]),c_0_143])]) ).
cnf(c_0_591,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| c0_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_508]),c_0_143])]) ).
cnf(c_0_592,negated_conjecture,
( ~ hskp21
| ~ c0_1(a582)
| hskp31
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_352]),c_0_393]) ).
cnf(c_0_593,negated_conjecture,
( epred1_0
| epred21_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_509,c_0_510]) ).
cnf(c_0_594,negated_conjecture,
( epred1_0
| epred22_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_509,c_0_511]) ).
cnf(c_0_595,negated_conjecture,
( ~ hskp11
| hskp3
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_253]),c_0_255]),c_0_254]) ).
cnf(c_0_596,negated_conjecture,
( epred24_0
| epred33_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_514]) ).
cnf(c_0_597,negated_conjecture,
( epred33_0
| epred43_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_515]),c_0_516]) ).
cnf(c_0_598,negated_conjecture,
( epred33_0
| epred43_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_517]),c_0_514]) ).
cnf(c_0_599,negated_conjecture,
( ~ hskp26
| epred36_0
| epred50_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_519]),c_0_467]) ).
cnf(c_0_600,negated_conjecture,
( hskp26
| hskp22
| epred36_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_520,c_0_521]) ).
cnf(c_0_601,negated_conjecture,
( ~ hskp15
| hskp6
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_365]),c_0_522]),c_0_366]) ).
cnf(c_0_602,negated_conjecture,
( hskp23
| hskp15
| epred2_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_523,c_0_368]) ).
cnf(c_0_603,negated_conjecture,
( ~ hskp11
| ~ c0_1(a553)
| hskp6
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_253]),c_0_254]) ).
cnf(c_0_604,negated_conjecture,
( ~ hskp11
| c0_1(a553)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_253]),c_0_254]) ).
cnf(c_0_605,negated_conjecture,
( ~ hskp5
| ~ c2_1(a544)
| epred50_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_420]),c_0_154]) ).
cnf(c_0_606,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_524]),c_0_143])]) ).
cnf(c_0_607,negated_conjecture,
( ~ c1_1(X1)
| hskp14
| c3_1(X1)
| c2_1(X1)
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_525]),c_0_143])]) ).
cnf(c_0_608,negated_conjecture,
( ~ hskp16
| hskp24
| epred25_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_158]),c_0_273]),c_0_159]) ).
cnf(c_0_609,negated_conjecture,
( ~ hskp21
| c0_1(a582)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_210]),c_0_352]) ).
cnf(c_0_610,negated_conjecture,
( ~ hskp1
| hskp31
| epred23_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_527,c_0_486]) ).
cnf(c_0_611,negated_conjecture,
( ~ hskp6
| hskp1
| epred12_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_349,c_0_528]) ).
cnf(c_0_612,negated_conjecture,
( ~ hskp1
| epred4_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_529,c_0_530]) ).
cnf(c_0_613,negated_conjecture,
( ~ hskp6
| hskp1
| epred12_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_528]) ).
cnf(c_0_614,negated_conjecture,
( hskp6
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_531]),c_0_143])]) ).
cnf(c_0_615,negated_conjecture,
( ~ hskp6
| hskp0
| epred5_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_349,c_0_532]) ).
cnf(c_0_616,negated_conjecture,
( ~ hskp21
| ~ c0_1(a582)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_533]),c_0_351]) ).
cnf(c_0_617,negated_conjecture,
( ~ hskp10
| c2_1(a551)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_193]),c_0_195]) ).
cnf(c_0_618,negated_conjecture,
( ~ hskp11
| ~ c0_1(a553)
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_253]),c_0_255]) ).
cnf(c_0_619,negated_conjecture,
( ~ hskp21
| epred2_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_389,c_0_535]) ).
cnf(c_0_620,negated_conjecture,
( ~ hskp10
| hskp6
| hskp3
| epred24_0 ),
inference(spm,[status(thm)],[c_0_487,c_0_536]) ).
cnf(c_0_621,negated_conjecture,
( hskp10
| hskp6
| hskp3
| epred2_0 ),
inference(spm,[status(thm)],[c_0_537,c_0_538]) ).
cnf(c_0_622,negated_conjecture,
( ~ hskp12
| c3_1(a564) ),
c_0_539 ).
cnf(c_0_623,negated_conjecture,
( ~ hskp27
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_495]),c_0_164]),c_0_163]) ).
cnf(c_0_624,negated_conjecture,
( ~ epred8_0
| ~ epred26_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_540,c_0_142]),c_0_321]),c_0_477]) ).
cnf(c_0_625,negated_conjecture,
( epred8_0
| epred33_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_541]),c_0_542]) ).
cnf(c_0_626,negated_conjecture,
( hskp3
| c0_1(a584)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_544]),c_0_545]) ).
cnf(c_0_627,negated_conjecture,
( ~ hskp29
| c3_1(a552) ),
c_0_546 ).
cnf(c_0_628,negated_conjecture,
( ~ hskp29
| c0_1(a552) ),
c_0_547 ).
cnf(c_0_629,negated_conjecture,
( ~ hskp29
| c2_1(a552) ),
c_0_548 ).
cnf(c_0_630,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp14
| hskp20 ),
c_0_549 ).
cnf(c_0_631,negated_conjecture,
( ~ hskp13
| c0_1(a565) ),
c_0_550 ).
cnf(c_0_632,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| epred6_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_268]) ).
cnf(c_0_633,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3) ),
c_0_551 ).
cnf(c_0_634,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
c_0_552 ).
cnf(c_0_635,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_553 ).
cnf(c_0_636,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14 ),
c_0_554 ).
cnf(c_0_637,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp12
| c0_1(X2) ),
c_0_555 ).
cnf(c_0_638,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp23
| c1_1(X2) ),
c_0_556 ).
cnf(c_0_639,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c3_1(X2)
| c0_1(X2) ),
c_0_557 ).
cnf(c_0_640,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp3
| c1_1(X2)
| c2_1(X1) ),
c_0_558 ).
cnf(c_0_641,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c0_1(X2)
| c2_1(X1) ),
c_0_559 ).
cnf(c_0_642,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c1_1(X2) ),
c_0_560 ).
cnf(c_0_643,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c2_1(X2) ),
c_0_561 ).
cnf(c_0_644,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp24
| c3_1(X2)
| c2_1(X2) ),
c_0_562 ).
cnf(c_0_645,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp2
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
c_0_563 ).
cnf(c_0_646,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp22
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_564 ).
cnf(c_0_647,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_565 ).
cnf(c_0_648,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_566 ).
cnf(c_0_649,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
c_0_567 ).
cnf(c_0_650,negated_conjecture,
( hskp22
| hskp6
| hskp3
| epred2_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_568,c_0_483]) ).
cnf(c_0_651,negated_conjecture,
( ~ hskp9
| epred12_0
| hskp23
| epred37_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_569,c_0_570]) ).
cnf(c_0_652,negated_conjecture,
( hskp22
| hskp14
| epred14_0
| epred22_0
| hskp3
| epred24_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_571,c_0_572]) ).
cnf(c_0_653,negated_conjecture,
( ~ hskp3
| hskp6
| c3_1(a539)
| c2_1(a539)
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_573,c_0_238]) ).
cnf(c_0_654,negated_conjecture,
( hskp31
| hskp25
| epred23_0
| hskp6
| epred22_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_574,c_0_213]) ).
cnf(c_0_655,negated_conjecture,
( ~ hskp3
| ~ c0_1(a539)
| hskp13
| epred29_0
| hskp6
| c2_1(a539)
| epred32_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_575]) ).
cnf(c_0_656,negated_conjecture,
( ~ hskp1
| epred45_0
| hskp20
| hskp13
| c1_1(a537)
| c3_1(a537) ),
inference(spm,[status(thm)],[c_0_576,c_0_486]) ).
cnf(c_0_657,negated_conjecture,
( ~ hskp22
| c0_1(a584)
| c2_1(a584)
| epred6_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_577,c_0_375]) ).
cnf(c_0_658,negated_conjecture,
( ~ hskp22
| hskp0
| c0_1(a584)
| c2_1(a584)
| epred5_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_578,c_0_375]) ).
cnf(c_0_659,negated_conjecture,
( ~ hskp24
| c0_1(a590)
| c2_1(a590)
| epred8_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_282,c_0_354]) ).
cnf(c_0_660,negated_conjecture,
( ~ c0_1(a564)
| ~ hskp12
| epred1_0
| epred46_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_580]) ).
cnf(c_0_661,negated_conjecture,
( ~ hskp25
| hskp29
| hskp21
| c1_1(a594)
| c3_1(a594) ),
inference(spm,[status(thm)],[c_0_581,c_0_211]) ).
cnf(c_0_662,negated_conjecture,
( ~ hskp1
| hskp29
| hskp21
| c1_1(a537)
| c3_1(a537) ),
inference(spm,[status(thm)],[c_0_581,c_0_436]) ).
cnf(c_0_663,negated_conjecture,
( ~ hskp22
| hskp29
| hskp11
| c0_1(a584)
| c2_1(a584) ),
inference(spm,[status(thm)],[c_0_582,c_0_375]) ).
cnf(c_0_664,negated_conjecture,
( ~ hskp3
| hskp22
| hskp21
| c3_1(a539)
| c2_1(a539) ),
inference(spm,[status(thm)],[c_0_583,c_0_238]) ).
cnf(c_0_665,negated_conjecture,
( ~ hskp0
| ~ c0_1(a536)
| hskp25
| hskp9
| c3_1(a536) ),
inference(spm,[status(thm)],[c_0_584,c_0_422]) ).
cnf(c_0_666,negated_conjecture,
( ~ hskp0
| ~ c0_1(a536)
| hskp21
| hskp14
| c3_1(a536) ),
inference(spm,[status(thm)],[c_0_585,c_0_422]) ).
cnf(c_0_667,negated_conjecture,
( ~ hskp0
| ~ c0_1(a536)
| hskp21
| hskp12
| c3_1(a536) ),
inference(spm,[status(thm)],[c_0_586,c_0_422]) ).
cnf(c_0_668,negated_conjecture,
( ~ hskp21
| ~ c0_1(a582)
| ~ c2_1(a582)
| hskp14
| hskp10 ),
inference(spm,[status(thm)],[c_0_587,c_0_351]) ).
cnf(c_0_669,negated_conjecture,
( ~ hskp20
| c0_1(a580)
| c3_1(a580)
| epred51_0 ),
inference(spm,[status(thm)],[c_0_588,c_0_286]) ).
cnf(c_0_670,negated_conjecture,
( ~ hskp13
| ~ c0_1(a565)
| c2_1(a565)
| epred46_0 ),
inference(spm,[status(thm)],[c_0_497,c_0_589]) ).
cnf(c_0_671,negated_conjecture,
( ~ hskp21
| ~ c0_1(a582)
| ~ c2_1(a582)
| hskp14
| epred39_0 ),
inference(spm,[status(thm)],[c_0_590,c_0_351]) ).
cnf(c_0_672,negated_conjecture,
( ~ hskp14
| ~ c2_1(a566)
| hskp12
| c0_1(a566)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_591,c_0_217]) ).
cnf(c_0_673,negated_conjecture,
( ~ hskp21
| hskp31
| epred23_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_592,c_0_484]) ).
cnf(c_0_674,negated_conjecture,
( ~ hskp25
| ~ c3_1(a594)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_198]),c_0_212]) ).
cnf(c_0_675,negated_conjecture,
( ~ epred2_0
| epred21_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_593]) ).
cnf(c_0_676,negated_conjecture,
( ~ epred2_0
| epred22_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_594]) ).
cnf(c_0_677,negated_conjecture,
( hskp31
| hskp22
| hskp3
| epred30_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_595,c_0_347]) ).
cnf(c_0_678,negated_conjecture,
( epred33_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_596]),c_0_597]),c_0_598]) ).
cnf(c_0_679,negated_conjecture,
( hskp22
| epred36_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_599,c_0_600]) ).
cnf(c_0_680,negated_conjecture,
( hskp23
| hskp6
| epred2_0
| epred32_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_601,c_0_602]) ).
cnf(c_0_681,negated_conjecture,
( ~ hskp31
| hskp6
| c2_1(a563)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_186]),c_0_187]) ).
cnf(c_0_682,negated_conjecture,
( hskp23
| hskp6
| epred22_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_601,c_0_406]) ).
cnf(c_0_683,negated_conjecture,
( ~ hskp11
| hskp6
| epred32_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_603,c_0_604]) ).
cnf(c_0_684,negated_conjecture,
( ~ hskp5
| hskp6
| epred32_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_605,c_0_490]) ).
cnf(c_0_685,negated_conjecture,
( ~ hskp22
| epred40_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_375]),c_0_376]),c_0_543]) ).
cnf(c_0_686,negated_conjecture,
( ~ hskp16
| hskp14
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_158]),c_0_273]),c_0_159]) ).
cnf(c_0_687,negated_conjecture,
( hskp31
| hskp24
| hskp10
| epred25_0 ),
inference(spm,[status(thm)],[c_0_608,c_0_340]) ).
cnf(c_0_688,negated_conjecture,
( ~ hskp21
| hskp31
| epred23_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_592,c_0_609]) ).
cnf(c_0_689,negated_conjecture,
( ~ hskp6
| hskp31
| epred12_0
| epred23_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_610,c_0_611]) ).
cnf(c_0_690,negated_conjecture,
( ~ hskp6
| epred4_0
| epred12_0
| epred24_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_612,c_0_613]) ).
cnf(c_0_691,negated_conjecture,
( ~ hskp23
| hskp6
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_614]),c_0_355]),c_0_356]) ).
cnf(c_0_692,negated_conjecture,
( ~ hskp6
| epred5_0
| epred45_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_467,c_0_615]) ).
cnf(c_0_693,negated_conjecture,
( ~ hskp21
| epred2_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_389,c_0_609]) ).
cnf(c_0_694,negated_conjecture,
( ~ hskp21
| epred13_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_616,c_0_609]) ).
cnf(c_0_695,negated_conjecture,
( hskp6
| epred1_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_350]) ).
cnf(c_0_696,negated_conjecture,
( ~ hskp10
| epred24_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_487,c_0_617]) ).
cnf(c_0_697,negated_conjecture,
( ~ hskp11
| epred26_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_618,c_0_281]) ).
cnf(c_0_698,negated_conjecture,
( ~ hskp6
| hskp0
| epred5_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_532]) ).
cnf(c_0_699,negated_conjecture,
( ~ hskp31
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_186]),c_0_187]),c_0_314]) ).
cnf(c_0_700,negated_conjecture,
( hskp22
| epred2_0
| epred8_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_619,c_0_432]) ).
cnf(c_0_701,negated_conjecture,
( hskp6
| hskp3
| epred2_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_620,c_0_621]) ).
cnf(c_0_702,negated_conjecture,
( ~ hskp12
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_533]),c_0_496]),c_0_622]) ).
cnf(c_0_703,negated_conjecture,
( hskp25
| hskp5
| epred10_0 ),
inference(spm,[status(thm)],[c_0_623,c_0_185]) ).
cnf(c_0_704,negated_conjecture,
( ~ epred26_0
| ~ epred43_0
| epred33_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_624,c_0_625]) ).
cnf(c_0_705,negated_conjecture,
( hskp3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_626]),c_0_545]) ).
cnf(c_0_706,negated_conjecture,
( ~ hskp29
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_627]),c_0_628]),c_0_629]) ).
cnf(c_0_707,negated_conjecture,
( ~ hskp16
| hskp6
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_296]),c_0_159]) ).
cnf(c_0_708,negated_conjecture,
( ~ hskp23
| hskp6
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_296]),c_0_356]) ).
cnf(c_0_709,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp20
| hskp14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_630,c_0_143])]) ).
cnf(c_0_710,negated_conjecture,
( ~ hskp13
| epred1_0
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_580]),c_0_631]) ).
cnf(c_0_711,negated_conjecture,
( ~ hskp22
| epred6_0
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_375]),c_0_376]) ).
cnf(c_0_712,negated_conjecture,
( ~ epred2_0
| ~ epred26_0
| ~ epred51_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_633,c_0_505]),c_0_284]),c_0_477]) ).
cnf(c_0_713,negated_conjecture,
( ~ epred13_0
| ~ epred46_0
| ~ epred50_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_634,c_0_447]),c_0_382]),c_0_476]) ).
cnf(c_0_714,negated_conjecture,
( ~ epred40_0
| ~ epred41_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_635,c_0_524]),c_0_443]),c_0_428]) ).
cnf(c_0_715,negated_conjecture,
( ~ epred26_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_636,c_0_507]),c_0_477]) ).
cnf(c_0_716,negated_conjecture,
( ~ epred22_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_637,c_0_508]),c_0_139]) ).
cnf(c_0_717,negated_conjecture,
( ~ epred22_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_638,c_0_396]),c_0_139]) ).
cnf(c_0_718,negated_conjecture,
( ~ epred2_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_639,c_0_385]),c_0_284]) ).
cnf(c_0_719,negated_conjecture,
( ~ epred10_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_640,c_0_399]),c_0_445]) ).
cnf(c_0_720,negated_conjecture,
( ~ epred32_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_641,c_0_402]),c_0_168]) ).
cnf(c_0_721,negated_conjecture,
( ~ epred22_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_642,c_0_441]),c_0_139]) ).
cnf(c_0_722,negated_conjecture,
( ~ epred2_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_643,c_0_525]),c_0_284]) ).
cnf(c_0_723,negated_conjecture,
( ~ epred25_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_644,c_0_471]),c_0_477]) ).
cnf(c_0_724,negated_conjecture,
( ~ epred21_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_645,c_0_331]),c_0_139]) ).
cnf(c_0_725,negated_conjecture,
( ~ epred10_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_646,c_0_362]),c_0_445]) ).
cnf(c_0_726,negated_conjecture,
( ~ epred12_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_647,c_0_427]),c_0_476]) ).
cnf(c_0_727,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_648,c_0_531]),c_0_445]) ).
cnf(c_0_728,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_649,c_0_430]),c_0_233]) ).
cnf(c_0_729,negated_conjecture,
( hskp14
| hskp12
| hskp31 ),
clause34 ).
cnf(c_0_730,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_650,c_0_651,c_0_652,c_0_653,c_0_654,c_0_655,c_0_656,c_0_657,c_0_658,c_0_659,c_0_660,c_0_661,c_0_662,c_0_663,c_0_664,c_0_665,c_0_666,c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,c_0_674,c_0_568,c_0_675,c_0_676,c_0_509,c_0_677,c_0_678,c_0_679,c_0_680,c_0_681,c_0_682,c_0_601,c_0_683,c_0_684,c_0_574,c_0_685,c_0_686,c_0_687,c_0_688,c_0_689,c_0_510,c_0_455,c_0_690,c_0_528,c_0_570,c_0_691,c_0_692,c_0_467,c_0_246,c_0_693,c_0_694,c_0_615,c_0_349,c_0_695,c_0_350,c_0_696,c_0_697,c_0_220,c_0_698,c_0_699,c_0_700,c_0_619,c_0_535,c_0_250,c_0_701,c_0_487,c_0_458,c_0_511,c_0_406,c_0_702,c_0_703,c_0_704,c_0_705,c_0_391,c_0_482,c_0_295,c_0_346,c_0_706,c_0_707,c_0_708,c_0_271,c_0_407,c_0_709,c_0_710,c_0_497,c_0_590,c_0_155,c_0_711,c_0_478,c_0_177,c_0_536,c_0_152,c_0_313,c_0_712,c_0_713,c_0_624,c_0_308,c_0_714,c_0_715,c_0_716,c_0_717,c_0_718,c_0_719,c_0_720,c_0_275,c_0_721,c_0_722,c_0_723,c_0_306,c_0_724,c_0_725,c_0_726,c_0_727,c_0_728,c_0_512,c_0_394,c_0_419,c_0_474,c_0_437,c_0_239,c_0_236,c_0_240,c_0_219,c_0_288,c_0_287,c_0_543,c_0_376,c_0_179,c_0_256,c_0_209,c_0_218,c_0_352,c_0_314,c_0_186,c_0_421,c_0_238,c_0_496,c_0_631,c_0_187,c_0_729,c_0_340,c_0_134]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN510-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.30 % Computer : n012.cluster.edu
% 0.05/0.30 % Model : x86_64 x86_64
% 0.05/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.30 % Memory : 8046.5625MB
% 0.05/0.30 % OS : Linux 6.8.0-71-generic
% 0.05/0.30 % CPULimit : 300
% 0.05/0.30 % WCLimit : 300
% 0.05/0.30 % DateTime : Mon Sep 21 11:04:06 UTC 2026
% 0.05/0.30 % CPUTime :
% 0.05/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.32 Running first-order theorem proving
% 0.07/0.32 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
% 12.90/2.21 % Version: 3.5.1
% 12.90/2.21 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.90/2.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.90/2.21 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.90/2.21 % Starting new_bool_3 with 300s (1) cores
% 12.90/2.21 % Starting new_bool_1 with 300s (1) cores
% 12.90/2.21 % Starting sh5l with 300s (1) cores
% 12.90/2.21 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2227388 completed with status 0
% 12.90/2.21 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 12.90/2.21 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.90/2.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.90/2.21 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.90/2.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.90/2.21 % No SInE strategy applied
% 12.90/2.21 % Search class: FGHNF-FSMM00-SFFFFFNN
% 12.90/2.21 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 12.90/2.21 % Starting SubtermCWHack with 151s (1) cores
% 12.90/2.21 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 12.90/2.21 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 12.90/2.21 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 12.90/2.21 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 12.90/2.21 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2227393 completed with status 0
% 12.90/2.21 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 12.90/2.21 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.90/2.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.90/2.21 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.90/2.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.90/2.21 % No SInE strategy applied
% 12.90/2.21 % Search class: FGHNF-FSMM00-SFFFFFNN
% 12.90/2.21 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 12.90/2.21 % Starting SubtermCWHack with 151s (1) cores
% 12.90/2.21 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 12.90/2.21 % Preprocessing time : 0.001 s
% 12.90/2.21 % SatCheck found unsatisfiable ground set
% 12.90/2.21
% 12.90/2.21 % Proof found!
% 12.90/2.21 % SZS status Unsatisfiable
% 12.90/2.21 % SZS output start CNFRefutation
% See solution above
% 12.90/2.21 % Parsed axioms : 208
% 12.90/2.21 % Removed by relevancy pruning/SinE : 0
% 12.90/2.21 % Initial clauses : 208
% 12.90/2.21 % Removed in clause preprocessing : 0
% 12.90/2.21 % Initial clauses in saturation : 208
% 12.90/2.21 % Processed clauses : 7873
% 12.90/2.21 % ...of these trivial : 0
% 12.90/2.21 % ...subsumed : 2873
% 12.90/2.21 % ...remaining for further processing : 5000
% 12.90/2.21 % Other redundant clauses eliminated : 0
% 12.90/2.21 % Clauses deleted for lack of memory : 0
% 12.90/2.21 % Backward-subsumed : 1248
% 12.90/2.21 % Backward-rewritten : 62
% 12.90/2.21 % Generated clauses : 56458
% 12.90/2.21 % ...of the previous two non-redundant : 52516
% 12.90/2.21 % ...aggressively subsumed : 0
% 12.90/2.21 % Contextual simplify-reflections : 658
% 12.90/2.21 % Paramodulations : 56373
% 12.90/2.21 % Factorizations : 0
% 12.90/2.21 % NegExts : 0
% 12.90/2.21 % Equation resolutions : 0
% 12.90/2.21 % Disequality decompositions : 0
% 12.90/2.21 % Total rewrite steps : 94
% 12.90/2.21 % ...of those cached : 93
% 12.90/2.21 % Propositional unsat checks : 1
% 12.90/2.21 % Propositional check models : 0
% 12.90/2.21 % Propositional check unsatisfiable : 1
% 12.90/2.21 % Propositional clauses : 47643
% 12.90/2.21 % Propositional clauses after purity: 47023
% 12.90/2.21 % Propositional unsat core size : 146
% 12.90/2.21 % Propositional preprocessing time : 0.000
% 12.90/2.21 % Propositional encoding time : 0.022
% 12.90/2.21 % Propositional solver time : 0.067
% 12.90/2.21 % Success case prop preproc time : 0.000
% 12.90/2.21 % Success case prop encoding time : 0.022
% 12.90/2.21 % Success case prop solver time : 0.067
% 12.90/2.21 % Current number of processed clauses : 3656
% 12.90/2.21 % Positive orientable unit clauses : 1
% 12.90/2.21 % Positive unorientable unit clauses: 0
% 12.90/2.21 % Negative unit clauses : 0
% 12.90/2.21 % Non-unit-clauses : 3655
% 12.90/2.21 % Current number of unprocessed clauses: 43987
% 12.90/2.21 % ...number of literals in the above : 297177
% 12.90/2.21 % Current number of archived formulas : 0
% 12.90/2.21 % Current number of archived clauses : 1310
% 12.90/2.21 % Clause-clause subsumption calls (NU) : 6535693
% 12.90/2.21 % Rec. Clause-clause subsumption calls : 193588
% 12.90/2.21 % Non-unit clause-clause subsumptions : 4829
% 12.90/2.21 % Unit Clause-clause subsumption calls : 17
% 12.90/2.21 % Rewrite failures with RHS unbound : 0
% 12.90/2.21 % BW rewrite match attempts : 1
% 12.90/2.21 % BW rewrite match successes : 1
% 12.90/2.21 % Condensation attempts : 7873
% 12.90/2.21 % Condensation successes : 0
% 12.90/2.21 % Termbank termtop insertions : 536916
% 12.90/2.21 % Search garbage collected termcells : 510
% 12.90/2.21
% 12.90/2.21 % -------------------------------------------------
% 12.90/2.21 % User time : 1.807 s
% 12.90/2.21 % System time : 0.041 s
% 12.90/2.21 % Total time : 1.848 s
% 12.90/2.21 % Maximum resident set size: 3744 pages
% 12.90/2.21
% 12.90/2.21 % -------------------------------------------------
% 12.90/2.21 % User time : 9.024 s
% 12.90/2.21 % System time : 0.237 s
% 12.90/2.21 % Total time : 9.261 s
% 12.90/2.21 % Maximum resident set size: 4864 pages
% 12.90/2.21 % E exiting
%------------------------------------------------------------------------------