%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN502-1 : 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 03:25:10 PM UTC 2026
% Result : Unsatisfiable 15.61s 7.46s
% Output : CNFRefutation 15.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 198
% Syntax : Number of formulae : 905 ( 2 unt; 0 def)
% Number of atoms : 3581 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 4247 (1571 ~;2628 |; 0 &)
% ( 48 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 84 ( 83 usr; 80 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 394 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause4,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause10,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(clause30,negated_conjecture,
( ~ hskp2
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
cnf(clause33,negated_conjecture,
( hskp2
| hskp22
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause133,negated_conjecture,
( ~ hskp2
| ~ c0_1(a236) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause89,negated_conjecture,
( ~ hskp2
| c3_1(a236) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause88,negated_conjecture,
( ~ hskp2
| c1_1(a236) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(clause121,negated_conjecture,
( ~ hskp9
| ~ c0_1(a248) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
cnf(clause79,negated_conjecture,
( ~ hskp9
| c3_1(a248) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause122,negated_conjecture,
( ~ hskp9
| ~ c1_1(a248) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(clause167,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause80,negated_conjecture,
( ~ hskp8
| c0_1(a245) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause123,negated_conjecture,
( ~ hskp8
| ~ c1_1(a245) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
cnf(clause81,negated_conjecture,
( ~ hskp8
| c2_1(a245) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause110,negated_conjecture,
( ~ hskp15
| ~ c0_1(a258) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
cnf(clause111,negated_conjecture,
( ~ hskp15
| ~ c2_1(a258) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
cnf(clause112,negated_conjecture,
( ~ hskp15
| ~ c3_1(a258) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(clause104,negated_conjecture,
( ~ hskp18
| ~ c0_1(a265) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
cnf(clause70,negated_conjecture,
( ~ hskp18
| c2_1(a265) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
cnf(clause69,negated_conjecture,
( ~ hskp18
| c1_1(a265) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
cnf(clause100,negated_conjecture,
( ~ hskp22
| ~ c3_1(a276) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(clause62,negated_conjecture,
( ~ hskp22
| c1_1(a276) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause52,negated_conjecture,
( ~ hskp28
| c0_1(a237) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
cnf(clause53,negated_conjecture,
( ~ hskp28
| c1_1(a237) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
cnf(clause54,negated_conjecture,
( ~ hskp28
| c2_1(a237) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
cnf(clause128,negated_conjecture,
( ~ hskp5
| ~ c0_1(a241) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
cnf(clause84,negated_conjecture,
( ~ hskp5
| c2_1(a241) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
cnf(clause85,negated_conjecture,
( ~ hskp5
| c3_1(a241) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
cnf(clause76,negated_conjecture,
( ~ hskp11
| c2_1(a251) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(clause119,negated_conjecture,
( ~ hskp11
| ~ c3_1(a251) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause118,negated_conjecture,
( ~ hskp11
| ~ c1_1(a251) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause82,negated_conjecture,
( ~ hskp7
| c0_1(a244) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause125,negated_conjecture,
( ~ hskp7
| ~ c2_1(a244) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause124,negated_conjecture,
( ~ hskp7
| ~ c1_1(a244) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
cnf(clause141,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp10
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
cnf(clause57,negated_conjecture,
( ~ hskp25
| c2_1(a294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
cnf(clause56,negated_conjecture,
( ~ hskp25
| c1_1(a294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
cnf(clause96,negated_conjecture,
( ~ hskp25
| ~ c3_1(a294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause67,negated_conjecture,
( ~ hskp19
| c0_1(a269) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause68,negated_conjecture,
( ~ hskp19
| c3_1(a269) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
cnf(clause103,negated_conjecture,
( ~ hskp19
| ~ c1_1(a269) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
cnf(clause36,negated_conjecture,
( hskp15
| hskp7
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(clause185,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| c2_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause34,negated_conjecture,
( hskp5
| hskp18
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause77,negated_conjecture,
( ~ hskp10
| c0_1(a249) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(clause78,negated_conjecture,
( ~ hskp10
| c3_1(a249) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause120,negated_conjecture,
( ~ hskp10
| ~ c2_1(a249) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause86,negated_conjecture,
( ~ hskp4
| c3_1(a239) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
cnf(clause130,negated_conjecture,
( ~ hskp4
| ~ c2_1(a239) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
cnf(clause129,negated_conjecture,
( ~ hskp4
| ~ c1_1(a239) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
cnf(clause61,negated_conjecture,
( ~ hskp22
| c0_1(a276) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
cnf(clause190,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
cnf(clause42,negated_conjecture,
( hskp9
| hskp11
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause173,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
cnf(clause175,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp2
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
cnf(clause98,negated_conjecture,
( ~ hskp24
| ~ c2_1(a282) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause58,negated_conjecture,
( ~ hskp24
| c3_1(a282) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
cnf(clause99,negated_conjecture,
( ~ hskp23
| ~ c2_1(a281) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause60,negated_conjecture,
( ~ hskp23
| c3_1(a281) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
cnf(clause59,negated_conjecture,
( ~ hskp23
| c1_1(a281) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(clause39,negated_conjecture,
( hskp11
| hskp18
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause179,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp18
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(clause143,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp29
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
cnf(clause87,negated_conjecture,
( ~ hskp3
| c0_1(a238) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
cnf(clause131,negated_conjecture,
( ~ hskp3
| ~ c2_1(a238) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
cnf(clause65,negated_conjecture,
( ~ hskp20
| c0_1(a271) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
cnf(clause66,negated_conjecture,
( ~ hskp20
| c1_1(a271) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(clause102,negated_conjecture,
( ~ hskp20
| ~ c2_1(a271) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(clause74,negated_conjecture,
( ~ hskp13
| c1_1(a253) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause114,negated_conjecture,
( ~ hskp13
| ~ c0_1(a253) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
cnf(clause115,negated_conjecture,
( ~ hskp13
| ~ c3_1(a253) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
cnf(clause191,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp25
| c3_1(X2)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause134,negated_conjecture,
( ~ hskp1
| ~ c0_1(a235) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(clause136,negated_conjecture,
( ~ hskp1
| ~ c2_1(a235) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
cnf(clause135,negated_conjecture,
( ~ hskp1
| ~ c1_1(a235) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
cnf(clause132,negated_conjecture,
( ~ hskp3
| ~ c3_1(a238) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
cnf(clause97,negated_conjecture,
( ~ hskp24
| ~ c0_1(a282) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
cnf(clause46,negated_conjecture,
( ~ hskp30
| c0_1(a243) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause48,negated_conjecture,
( ~ hskp30
| c3_1(a243) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause47,negated_conjecture,
( ~ hskp30
| c1_1(a243) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause108,negated_conjecture,
( ~ hskp16
| ~ c2_1(a259) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause71,negated_conjecture,
( ~ hskp16
| c1_1(a259) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause140,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp31
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause152,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp17
| hskp9
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
cnf(clause168,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp27
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
cnf(clause41,negated_conjecture,
( hskp24
| hskp13
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
cnf(clause158,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp18
| hskp22
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
cnf(clause161,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp11
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
cnf(clause159,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp17
| hskp19
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
cnf(clause163,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp12
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
cnf(clause72,negated_conjecture,
( ~ hskp14
| c2_1(a257) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause113,negated_conjecture,
( ~ hskp14
| ~ c1_1(a257) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause162,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp5
| hskp10
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
cnf(clause75,negated_conjecture,
( ~ hskp12
| c0_1(a252) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause117,negated_conjecture,
( ~ hskp12
| ~ c3_1(a252) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause160,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp23
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
cnf(clause146,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp14
| hskp31
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
cnf(clause147,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp17
| hskp29
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
cnf(clause154,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp2
| hskp20
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
cnf(clause150,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp16
| hskp19
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
cnf(clause157,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp8
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
cnf(clause174,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp20
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(clause195,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp31
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
cnf(clause186,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
cnf(clause109,negated_conjecture,
( ~ hskp16
| ~ c3_1(a259) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause92,negated_conjecture,
( ~ hskp27
| ~ c2_1(a322) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
cnf(clause55,negated_conjecture,
( ~ hskp26
| c2_1(a314) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
cnf(clause50,negated_conjecture,
( ~ hskp29
| c2_1(a240) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause43,negated_conjecture,
( ~ hskp31
| c0_1(a246) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause44,negated_conjecture,
( ~ hskp31
| c2_1(a246) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause105,negated_conjecture,
( ~ hskp17
| ~ c0_1(a263) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause107,negated_conjecture,
( ~ hskp17
| ~ c3_1(a263) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause106,negated_conjecture,
( ~ hskp17
| ~ c1_1(a263) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(clause93,negated_conjecture,
( ~ hskp27
| ~ c3_1(a322) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
cnf(clause91,negated_conjecture,
( ~ hskp27
| ~ c1_1(a322) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
cnf(clause116,negated_conjecture,
( ~ hskp12
| ~ c1_1(a252) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
cnf(clause51,negated_conjecture,
( ~ hskp29
| c3_1(a240) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause49,negated_conjecture,
( ~ hskp29
| c1_1(a240) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause63,negated_conjecture,
( ~ hskp21
| c0_1(a274) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause64,negated_conjecture,
( ~ hskp21
| c2_1(a274) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause101,negated_conjecture,
( ~ hskp21
| ~ c3_1(a274) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
cnf(clause206,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).
cnf(clause205,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).
cnf(clause204,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
cnf(clause203,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
cnf(clause202,negated_conjecture,
( ~ c1_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
cnf(clause201,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).
cnf(clause199,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
cnf(clause197,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
cnf(clause198,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
cnf(clause196,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
cnf(clause194,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
cnf(clause182,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp3
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
cnf(clause183,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp4
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
cnf(clause192,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(clause187,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp10
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
cnf(clause193,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp20
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
cnf(clause189,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause176,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
cnf(clause177,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp14
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
cnf(clause178,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp21
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
cnf(clause171,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
cnf(clause172,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp30
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
cnf(clause37,negated_conjecture,
( hskp11
| hskp13
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(clause95,negated_conjecture,
( ~ hskp26
| ~ c3_1(a314) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(clause94,negated_conjecture,
( ~ hskp26
| ~ c0_1(a314) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
cnf(clause73,negated_conjecture,
( ~ hskp14
| c3_1(a257) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause45,negated_conjecture,
( ~ hskp31
| c3_1(a246) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause40,negated_conjecture,
( hskp14
| hskp13
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause38,negated_conjecture,
( hskp24
| hskp13
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(c_0_150,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause4]) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause10]) ).
cnf(c_0_152,negated_conjecture,
( ~ hskp2
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause30]) ).
fof(c_0_153,plain,
( ~ epred20_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_154,plain,
( ~ epred16_0
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_155,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
c_0_150 ).
cnf(c_0_156,negated_conjecture,
( hskp2
| hskp22
| hskp28 ),
clause33 ).
cnf(c_0_157,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
c_0_151 ).
cnf(c_0_158,negated_conjecture,
( ~ hskp2
| ndr1_0 ),
c_0_152 ).
fof(c_0_159,plain,
( ~ epred33_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_160,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred20_0 ),
inference(split_equiv,[status(thm)],[c_0_153]) ).
cnf(c_0_161,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_154]) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp2
| ~ c0_1(a236) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
fof(c_0_163,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_164,negated_conjecture,
( ~ hskp2
| c3_1(a236) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp2
| c1_1(a236) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp9
| ~ c0_1(a248) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp9
| c3_1(a248) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
fof(c_0_168,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp2 ) ),
introduced(definition) ).
cnf(c_0_169,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_158]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp9
| ~ c1_1(a248) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
cnf(c_0_171,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp4 ),
inference(fof_simplification,[status(thm)],[clause167]) ).
fof(c_0_172,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| hskp11 ) ),
introduced(definition) ).
fof(c_0_173,plain,
( ~ epred13_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X1)
| hskp18 ) ),
introduced(definition) ).
fof(c_0_174,plain,
( ~ epred31_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp15 ) ),
introduced(definition) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp8
| c0_1(a245) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp8
| ~ c1_1(a245) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
fof(c_0_177,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_178,negated_conjecture,
( ~ hskp8
| c2_1(a245) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_179,negated_conjecture,
( ~ hskp15
| ~ c0_1(a258) ),
inference(fof_simplification,[status(thm)],[clause110]) ).
fof(c_0_180,plain,
( ~ epred8_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp11 ) ),
introduced(definition) ).
cnf(c_0_181,negated_conjecture,
( ~ hskp15
| ~ c2_1(a258) ),
inference(fof_simplification,[status(thm)],[clause111]) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp15
| ~ c3_1(a258) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
cnf(c_0_183,negated_conjecture,
( ~ hskp18
| ~ c0_1(a265) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_184,negated_conjecture,
( ~ hskp18
| c2_1(a265) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp18
| c1_1(a265) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp22
| ~ c3_1(a276) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_187,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred33_0 ),
inference(split_equiv,[status(thm)],[c_0_159]) ).
cnf(c_0_188,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| epred16_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp22
| c1_1(a276) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp2
| ~ c0_1(a236) ),
c_0_162 ).
cnf(c_0_191,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred35_0 ),
inference(split_equiv,[status(thm)],[c_0_163]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp2
| c3_1(a236) ),
c_0_164 ).
cnf(c_0_193,negated_conjecture,
( ~ hskp2
| c1_1(a236) ),
c_0_165 ).
cnf(c_0_194,negated_conjecture,
( ~ hskp9
| ~ c0_1(a248) ),
c_0_166 ).
cnf(c_0_195,negated_conjecture,
( ~ hskp9
| c3_1(a248) ),
c_0_167 ).
cnf(c_0_196,negated_conjecture,
( hskp2
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred21_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_168]),c_0_169])]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp9
| ~ c1_1(a248) ),
c_0_170 ).
cnf(c_0_198,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp4 ),
c_0_171 ).
cnf(c_0_199,negated_conjecture,
( ~ hskp28
| c0_1(a237) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
cnf(c_0_200,negated_conjecture,
( ~ hskp28
| c1_1(a237) ),
inference(fof_simplification,[status(thm)],[clause53]) ).
fof(c_0_201,plain,
( ~ epred37_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp28
| c2_1(a237) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_203,negated_conjecture,
( ~ hskp5
| ~ c0_1(a241) ),
inference(fof_simplification,[status(thm)],[clause128]) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp5
| c2_1(a241) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_205,negated_conjecture,
( ~ hskp5
| c3_1(a241) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
fof(c_0_206,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| hskp5 ) ),
introduced(definition) ).
cnf(c_0_207,negated_conjecture,
( ~ hskp11
| c2_1(a251) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_208,negated_conjecture,
( ~ hskp11
| ~ c3_1(a251) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_209,negated_conjecture,
( ~ hskp11
| ~ c1_1(a251) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_210,negated_conjecture,
( ~ c3_1(X1)
| hskp11
| c2_1(X1)
| c1_1(X1)
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_172]),c_0_169])]) ).
cnf(c_0_211,negated_conjecture,
( ~ c3_1(X1)
| hskp18
| c2_1(X1)
| c1_1(X1)
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_173]),c_0_169])]) ).
cnf(c_0_212,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp15
| c1_1(X1)
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_174]),c_0_169])]) ).
cnf(c_0_213,negated_conjecture,
( ~ hskp8
| c0_1(a245) ),
c_0_175 ).
cnf(c_0_214,negated_conjecture,
( ~ hskp8
| ~ c1_1(a245) ),
c_0_176 ).
cnf(c_0_215,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred27_0 ),
inference(split_equiv,[status(thm)],[c_0_177]) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp8
| c2_1(a245) ),
c_0_178 ).
fof(c_0_217,plain,
( ~ epred14_0
<=> ! [X2] :
( ~ c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_218,negated_conjecture,
( ~ hskp7
| c0_1(a244) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
cnf(c_0_219,negated_conjecture,
( ~ hskp7
| ~ c2_1(a244) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
cnf(c_0_220,negated_conjecture,
( ~ hskp7
| ~ c1_1(a244) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
cnf(c_0_221,negated_conjecture,
( ~ hskp15
| ~ c0_1(a258) ),
c_0_179 ).
cnf(c_0_222,negated_conjecture,
( hskp11
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_180]),c_0_169])]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp15
| ~ c2_1(a258) ),
c_0_181 ).
cnf(c_0_224,negated_conjecture,
( ~ hskp15
| ~ c3_1(a258) ),
c_0_182 ).
fof(c_0_225,plain,
( ~ epred9_0
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp18
| ~ c0_1(a265) ),
c_0_183 ).
cnf(c_0_227,negated_conjecture,
( ~ hskp18
| c2_1(a265) ),
c_0_184 ).
cnf(c_0_228,negated_conjecture,
( ~ hskp18
| c1_1(a265) ),
c_0_185 ).
cnf(c_0_229,negated_conjecture,
( ~ hskp22
| ~ c3_1(a276) ),
c_0_186 ).
cnf(c_0_230,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| epred16_0
| epred20_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp22
| c1_1(a276) ),
c_0_189 ).
cnf(c_0_232,negated_conjecture,
( ~ hskp2
| ~ c2_1(a236)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]) ).
cnf(c_0_233,negated_conjecture,
( ~ hskp2
| c2_1(a236)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_161]),c_0_193]) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp9
| ~ c2_1(a248)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_191]),c_0_195]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp9
| hskp2
| c2_1(a248)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_196]),c_0_197]) ).
cnf(c_0_236,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp10
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause141]) ).
cnf(c_0_237,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_169])]) ).
cnf(c_0_238,negated_conjecture,
( ~ hskp28
| c0_1(a237) ),
c_0_199 ).
cnf(c_0_239,negated_conjecture,
( ~ hskp28
| c1_1(a237) ),
c_0_200 ).
cnf(c_0_240,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred37_0 ),
inference(split_equiv,[status(thm)],[c_0_201]) ).
cnf(c_0_241,negated_conjecture,
( ~ hskp28
| c2_1(a237) ),
c_0_202 ).
cnf(c_0_242,negated_conjecture,
( ~ hskp25
| c2_1(a294) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp25
| c1_1(a294) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_244,negated_conjecture,
( ~ hskp25
| ~ c3_1(a294) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
fof(c_0_245,plain,
( ~ epred26_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp25 ) ),
introduced(definition) ).
cnf(c_0_246,negated_conjecture,
( ~ hskp19
| c0_1(a269) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_247,negated_conjecture,
( ~ hskp19
| c3_1(a269) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp19
| ~ c1_1(a269) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp5
| ~ c0_1(a241) ),
c_0_203 ).
cnf(c_0_250,negated_conjecture,
( ~ hskp5
| c2_1(a241) ),
c_0_204 ).
cnf(c_0_251,negated_conjecture,
( ~ hskp5
| c3_1(a241) ),
c_0_205 ).
cnf(c_0_252,negated_conjecture,
( ~ c2_1(X1)
| hskp5
| c3_1(X1)
| c1_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_169])]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp11
| c2_1(a251) ),
c_0_207 ).
cnf(c_0_254,negated_conjecture,
( ~ hskp11
| ~ c3_1(a251) ),
c_0_208 ).
cnf(c_0_255,negated_conjecture,
( ~ hskp11
| ~ c1_1(a251) ),
c_0_209 ).
cnf(c_0_256,negated_conjecture,
( ~ hskp9
| hskp11
| c2_1(a248)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_195]),c_0_197]) ).
cnf(c_0_257,negated_conjecture,
( ~ hskp9
| hskp18
| c2_1(a248)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_195]),c_0_197]) ).
cnf(c_0_258,negated_conjecture,
( ~ hskp8
| ~ c3_1(a245)
| hskp15
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp8
| c3_1(a245)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_214]) ).
cnf(c_0_260,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_217]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp7
| c0_1(a244) ),
c_0_218 ).
cnf(c_0_262,negated_conjecture,
( ~ hskp7
| ~ c2_1(a244) ),
c_0_219 ).
cnf(c_0_263,negated_conjecture,
( ~ hskp7
| ~ c1_1(a244) ),
c_0_220 ).
cnf(c_0_264,negated_conjecture,
( ~ hskp15
| hskp11
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_224]) ).
cnf(c_0_265,negated_conjecture,
( hskp15
| hskp7
| hskp8 ),
clause36 ).
cnf(c_0_266,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred9_0 ),
inference(split_equiv,[status(thm)],[c_0_225]) ).
cnf(c_0_267,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| c2_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_268,negated_conjecture,
( ~ hskp18
| ~ c3_1(a265)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_191]),c_0_227]) ).
cnf(c_0_269,negated_conjecture,
( ~ hskp18
| c3_1(a265)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_227]),c_0_228]) ).
cnf(c_0_270,negated_conjecture,
( ~ hskp22
| epred16_0
| epred20_0
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).
cnf(c_0_271,negated_conjecture,
( hskp5
| hskp18
| hskp22 ),
clause34 ).
cnf(c_0_272,negated_conjecture,
( ~ hskp2
| epred16_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp9
| hskp2
| epred21_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_274,negated_conjecture,
( ~ hskp10
| c0_1(a249) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_275,negated_conjecture,
( ~ hskp10
| c3_1(a249) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
cnf(c_0_276,negated_conjecture,
( ~ hskp10
| ~ c2_1(a249) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_277,negated_conjecture,
( ~ hskp4
| c3_1(a239) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
cnf(c_0_278,negated_conjecture,
( ~ hskp4
| ~ c2_1(a239) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
cnf(c_0_279,negated_conjecture,
( ~ hskp4
| ~ c1_1(a239) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
fof(c_0_280,plain,
( ~ epred46_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_281,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp10
| c1_1(X1)
| c0_1(X1) ),
c_0_236 ).
cnf(c_0_282,negated_conjecture,
( ~ hskp22
| c0_1(a276) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
fof(c_0_283,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_284,negated_conjecture,
( ~ hskp28
| ~ c3_1(a237)
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]) ).
cnf(c_0_285,negated_conjecture,
( ~ hskp28
| c3_1(a237)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_238]),c_0_241]) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp25
| c2_1(a294) ),
c_0_242 ).
cnf(c_0_287,negated_conjecture,
( ~ hskp25
| c1_1(a294) ),
c_0_243 ).
cnf(c_0_288,negated_conjecture,
( ~ hskp25
| ~ c3_1(a294) ),
c_0_244 ).
cnf(c_0_289,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp25
| c1_1(X1)
| epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_245]),c_0_169])]) ).
cnf(c_0_290,negated_conjecture,
( ~ hskp19
| c0_1(a269) ),
c_0_246 ).
cnf(c_0_291,negated_conjecture,
( ~ hskp19
| c3_1(a269) ),
c_0_247 ).
cnf(c_0_292,negated_conjecture,
( ~ hskp19
| ~ c1_1(a269) ),
c_0_248 ).
cnf(c_0_293,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause190]) ).
cnf(c_0_294,negated_conjecture,
( ~ hskp5
| epred35_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_191]),c_0_250]),c_0_251]) ).
cnf(c_0_295,negated_conjecture,
( ~ hskp11
| hskp5
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254]),c_0_255]) ).
cnf(c_0_296,negated_conjecture,
( ~ hskp9
| hskp11
| epred32_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_256]) ).
cnf(c_0_297,negated_conjecture,
( hskp9
| hskp11
| hskp5 ),
clause42 ).
cnf(c_0_298,negated_conjecture,
( ~ hskp9
| hskp18
| epred13_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_257]) ).
cnf(c_0_299,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_300,negated_conjecture,
( ~ hskp8
| hskp15
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_301,negated_conjecture,
( ~ hskp11
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_253]),c_0_254]),c_0_255]) ).
cnf(c_0_302,negated_conjecture,
( ~ hskp7
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]),c_0_263]) ).
cnf(c_0_303,negated_conjecture,
( hskp11
| hskp8
| hskp7
| epred8_0 ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_304,negated_conjecture,
( ~ hskp9
| c2_1(a248)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_266]),c_0_195]) ).
cnf(c_0_305,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp2
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause175]) ).
cnf(c_0_306,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| c2_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_267 ).
cnf(c_0_307,negated_conjecture,
( ~ hskp18
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_308,negated_conjecture,
( hskp18
| hskp5
| epred16_0
| epred20_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_309,negated_conjecture,
( ~ hskp9
| epred16_0
| epred21_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
fof(c_0_310,plain,
( ~ epred29_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_311,negated_conjecture,
( ~ hskp10
| c0_1(a249) ),
c_0_274 ).
cnf(c_0_312,negated_conjecture,
( ~ hskp10
| c3_1(a249) ),
c_0_275 ).
cnf(c_0_313,negated_conjecture,
( ~ hskp10
| ~ c2_1(a249) ),
c_0_276 ).
cnf(c_0_314,negated_conjecture,
( ~ hskp4
| c3_1(a239) ),
c_0_277 ).
cnf(c_0_315,negated_conjecture,
( ~ hskp4
| ~ c2_1(a239) ),
c_0_278 ).
cnf(c_0_316,negated_conjecture,
( ~ hskp4
| ~ c1_1(a239) ),
c_0_279 ).
cnf(c_0_317,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred46_0 ),
inference(split_equiv,[status(thm)],[c_0_280]) ).
cnf(c_0_318,negated_conjecture,
( ~ c2_1(X1)
| hskp10
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_169])]) ).
cnf(c_0_319,negated_conjecture,
( ~ hskp22
| c0_1(a276) ),
c_0_282 ).
cnf(c_0_320,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_283]) ).
cnf(c_0_321,negated_conjecture,
( ~ hskp28
| hskp4
| epred37_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_322,negated_conjecture,
( ~ hskp24
| ~ c2_1(a282) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
fof(c_0_323,plain,
( ~ epred23_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_324,negated_conjecture,
( ~ hskp24
| c3_1(a282) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_325,negated_conjecture,
( ~ hskp23
| ~ c2_1(a281) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp23
| c3_1(a281) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp23
| c1_1(a281) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp25
| epred33_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_286]),c_0_287]),c_0_288]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp19
| hskp25
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291]),c_0_292]) ).
cnf(c_0_330,negated_conjecture,
( hskp11
| hskp18
| hskp19 ),
clause39 ).
cnf(c_0_331,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_293 ).
cnf(c_0_332,negated_conjecture,
( ~ hskp11
| epred35_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_333,negated_conjecture,
( hskp11
| epred32_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_294]) ).
cnf(c_0_334,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp18
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
cnf(c_0_335,negated_conjecture,
( hskp18
| hskp11
| epred13_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_297]),c_0_294]) ).
cnf(c_0_336,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
c_0_299 ).
cnf(c_0_337,negated_conjecture,
( ~ hskp8
| epred8_0
| epred27_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_300]),c_0_301]) ).
cnf(c_0_338,negated_conjecture,
( hskp11
| hskp8
| epred8_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp9
| epred9_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_304]) ).
cnf(c_0_340,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp2
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_305 ).
cnf(c_0_341,negated_conjecture,
( ~ epred16_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_306,c_0_174]),c_0_154]) ).
cnf(c_0_342,negated_conjecture,
( epred16_0
| epred20_0
| epred33_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_294]) ).
cnf(c_0_343,negated_conjecture,
( hskp11
| epred16_0
| epred21_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_297]),c_0_294]) ).
cnf(c_0_344,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred29_0 ),
inference(split_equiv,[status(thm)],[c_0_310]) ).
fof(c_0_345,plain,
( ~ epred10_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_346,negated_conjecture,
( ~ hskp10
| ~ c1_1(a249)
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_311]),c_0_312]) ).
cnf(c_0_347,negated_conjecture,
( ~ hskp10
| hskp18
| c1_1(a249)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_312]),c_0_313]) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp4
| hskp18
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_314]),c_0_315]),c_0_316]) ).
cnf(c_0_349,negated_conjecture,
( ~ hskp5
| ~ c1_1(a241)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_317]),c_0_250]) ).
cnf(c_0_350,negated_conjecture,
( ~ hskp5
| hskp10
| c1_1(a241) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_250]),c_0_249]) ).
fof(c_0_351,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp16 ) ),
introduced(definition) ).
fof(c_0_352,plain,
( ~ epred22_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| hskp29 ) ),
introduced(definition) ).
cnf(c_0_353,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp29
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
fof(c_0_354,plain,
( ~ epred7_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_355,negated_conjecture,
( ~ hskp3
| c0_1(a238) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_356,negated_conjecture,
( ~ hskp3
| ~ c2_1(a238) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
cnf(c_0_357,negated_conjecture,
( ~ hskp20
| c0_1(a271) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_358,negated_conjecture,
( ~ hskp20
| c1_1(a271) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp20
| ~ c2_1(a271) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
fof(c_0_360,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| hskp20 ) ),
introduced(definition) ).
cnf(c_0_361,negated_conjecture,
( ~ hskp22
| ~ c2_1(a276)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_319]),c_0_229]) ).
cnf(c_0_362,negated_conjecture,
( ~ hskp22
| c2_1(a276)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_319]),c_0_231]) ).
cnf(c_0_363,negated_conjecture,
( ~ hskp2
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_320]),c_0_192]),c_0_193]) ).
cnf(c_0_364,negated_conjecture,
( hskp22
| hskp4
| hskp2
| epred37_0 ),
inference(spm,[status(thm)],[c_0_321,c_0_156]) ).
fof(c_0_365,plain,
( ~ epred34_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp10 ) ),
introduced(definition) ).
cnf(c_0_366,negated_conjecture,
( ~ hskp13
| c1_1(a253) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_367,negated_conjecture,
( ~ hskp13
| ~ c0_1(a253) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_368,negated_conjecture,
( ~ hskp13
| ~ c3_1(a253) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_369,negated_conjecture,
( ~ hskp24
| ~ c2_1(a282) ),
c_0_322 ).
cnf(c_0_370,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred23_0 ),
inference(split_equiv,[status(thm)],[c_0_323]) ).
cnf(c_0_371,negated_conjecture,
( ~ hskp24
| c3_1(a282) ),
c_0_324 ).
cnf(c_0_372,negated_conjecture,
( ~ hskp23
| ~ c2_1(a281) ),
c_0_325 ).
cnf(c_0_373,negated_conjecture,
( ~ hskp23
| c3_1(a281) ),
c_0_326 ).
cnf(c_0_374,negated_conjecture,
( ~ hskp23
| c1_1(a281) ),
c_0_327 ).
cnf(c_0_375,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp25
| c3_1(X2)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause191]) ).
cnf(c_0_376,negated_conjecture,
( ~ hskp19
| epred26_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_377,negated_conjecture,
( hskp19
| hskp11
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_330]) ).
cnf(c_0_378,negated_conjecture,
( ~ epred32_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_331,c_0_172]),c_0_159]) ).
cnf(c_0_379,negated_conjecture,
( epred32_0
| epred35_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_380,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp18
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_334 ).
cnf(c_0_381,negated_conjecture,
( hskp11
| epred13_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_335]) ).
cnf(c_0_382,negated_conjecture,
( ~ epred8_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_336,c_0_180]),c_0_225]) ).
cnf(c_0_383,negated_conjecture,
( epred8_0
| epred14_0
| epred27_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_301]) ).
cnf(c_0_384,negated_conjecture,
( hskp11
| epred9_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_297]),c_0_294]) ).
cnf(c_0_385,negated_conjecture,
( ~ epred20_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_340,c_0_168]),c_0_153]) ).
cnf(c_0_386,negated_conjecture,
( ~ epred31_0
| epred20_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_387,negated_conjecture,
( epred16_0
| epred21_0
| epred27_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_343]) ).
cnf(c_0_388,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| epred9_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_266]) ).
cnf(c_0_389,negated_conjecture,
( ~ hskp1
| ~ c0_1(a235) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
fof(c_0_390,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp1
| ~ c2_1(a235) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp1
| ~ c1_1(a235) ),
inference(fof_simplification,[status(thm)],[clause135]) ).
cnf(c_0_393,negated_conjecture,
( hskp1
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_345]),c_0_169])]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp3
| ~ c3_1(a238) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp24
| ~ c0_1(a282) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp10
| hskp18
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_348]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp5
| hskp10
| epred46_0 ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp18
| epred46_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_317]),c_0_227]),c_0_228]) ).
cnf(c_0_399,negated_conjecture,
( ~ hskp19
| hskp15
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_290]),c_0_291]),c_0_292]) ).
cnf(c_0_400,negated_conjecture,
( ~ hskp10
| ~ c1_1(a249)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_311]),c_0_313]) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp10
| c1_1(a249)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_311]),c_0_313]) ).
cnf(c_0_402,negated_conjecture,
( ~ hskp30
| c0_1(a243) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp30
| c3_1(a243) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp30
| c1_1(a243) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_405,negated_conjecture,
( ~ hskp16
| ~ c2_1(a259) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp16
| c1_1(a259) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_407,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c3_1(X1)
| epred30_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_351]),c_0_169])]) ).
cnf(c_0_408,negated_conjecture,
( ~ c3_1(X1)
| hskp29
| c2_1(X1)
| c1_1(X1)
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_352]),c_0_169])]) ).
cnf(c_0_409,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp29
| c3_1(X1)
| c1_1(X1) ),
c_0_353 ).
cnf(c_0_410,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred7_0 ),
inference(split_equiv,[status(thm)],[c_0_354]) ).
cnf(c_0_411,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp31
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause140]) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp3
| c0_1(a238) ),
c_0_355 ).
cnf(c_0_413,negated_conjecture,
( ~ hskp3
| ~ c2_1(a238) ),
c_0_356 ).
cnf(c_0_414,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp17
| hskp9
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause152]) ).
cnf(c_0_415,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp27
| hskp24 ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_416,negated_conjecture,
( ~ hskp20
| c0_1(a271) ),
c_0_357 ).
cnf(c_0_417,negated_conjecture,
( ~ hskp20
| c1_1(a271) ),
c_0_358 ).
cnf(c_0_418,negated_conjecture,
( ~ hskp20
| ~ c2_1(a271) ),
c_0_359 ).
cnf(c_0_419,negated_conjecture,
( ~ c2_1(X1)
| hskp20
| c3_1(X1)
| c1_1(X1)
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_360]),c_0_169])]) ).
cnf(c_0_420,negated_conjecture,
( ~ hskp22
| epred20_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_361,c_0_362]) ).
cnf(c_0_421,negated_conjecture,
( hskp22
| hskp4
| epred12_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_363,c_0_364]) ).
cnf(c_0_422,negated_conjecture,
( ~ hskp10
| hskp11
| c1_1(a249)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_312]),c_0_313]) ).
cnf(c_0_423,negated_conjecture,
( ~ hskp4
| hskp11
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_314]),c_0_315]),c_0_316]) ).
cnf(c_0_424,negated_conjecture,
( ~ c1_1(X1)
| hskp10
| c0_1(X1)
| c3_1(X1)
| epred34_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_365]),c_0_169])]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp13
| c1_1(a253) ),
c_0_366 ).
cnf(c_0_426,negated_conjecture,
( ~ hskp13
| ~ c0_1(a253) ),
c_0_367 ).
cnf(c_0_427,negated_conjecture,
( ~ hskp13
| ~ c3_1(a253) ),
c_0_368 ).
cnf(c_0_428,negated_conjecture,
( ~ hskp24
| ~ c1_1(a282)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_371]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp24
| hskp11
| c1_1(a282)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_371]),c_0_369]) ).
cnf(c_0_430,negated_conjecture,
( ~ hskp23
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_370]),c_0_373]),c_0_374]) ).
cnf(c_0_431,negated_conjecture,
( hskp24
| hskp13
| hskp23 ),
clause41 ).
cnf(c_0_432,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp25
| c3_1(X2)
| c1_1(X2)
| c1_1(X1) ),
c_0_375 ).
cnf(c_0_433,negated_conjecture,
( hskp11
| epred26_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_377]) ).
cnf(c_0_434,negated_conjecture,
( ~ epred33_0
| epred35_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_435,negated_conjecture,
( ~ epred13_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_380,c_0_173]),c_0_217]) ).
cnf(c_0_436,negated_conjecture,
( epred13_0
| epred27_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_381]) ).
cnf(c_0_437,negated_conjecture,
( ~ epred9_0
| epred14_0
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_438,negated_conjecture,
( epred9_0
| epred27_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_384]) ).
cnf(c_0_439,negated_conjecture,
( ~ epred21_0
| ~ epred31_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_385,c_0_386]) ).
cnf(c_0_440,negated_conjecture,
( ~ epred31_0
| epred21_0
| epred27_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_341,c_0_387]) ).
cnf(c_0_441,negated_conjecture,
( ~ hskp23
| epred9_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_388]),c_0_373]) ).
cnf(c_0_442,negated_conjecture,
( ~ hskp1
| ~ c0_1(a235) ),
c_0_389 ).
cnf(c_0_443,negated_conjecture,
( hskp3
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_390]),c_0_169])]) ).
cnf(c_0_444,negated_conjecture,
( ~ hskp1
| ~ c2_1(a235) ),
c_0_391 ).
cnf(c_0_445,negated_conjecture,
( ~ hskp1
| ~ c1_1(a235) ),
c_0_392 ).
cnf(c_0_446,negated_conjecture,
( hskp1
| c2_1(X1)
| c1_1(X1)
| epred10_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_393]) ).
cnf(c_0_447,negated_conjecture,
( ~ hskp3
| ~ c3_1(a238) ),
c_0_394 ).
cnf(c_0_448,negated_conjecture,
( ~ hskp24
| ~ c0_1(a282) ),
c_0_395 ).
cnf(c_0_449,negated_conjecture,
( ~ hskp5
| epred13_0
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_398]) ).
cnf(c_0_450,negated_conjecture,
( ~ hskp19
| hskp11
| epred8_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_264,c_0_399]) ).
cnf(c_0_451,negated_conjecture,
( hskp19
| hskp11
| epred46_0 ),
inference(spm,[status(thm)],[c_0_398,c_0_330]) ).
cnf(c_0_452,negated_conjecture,
( ~ hskp10
| epred14_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_400,c_0_401]) ).
fof(c_0_453,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| hskp30 ) ),
introduced(definition) ).
fof(c_0_454,plain,
( ~ epred39_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp4 ) ),
introduced(definition) ).
cnf(c_0_455,negated_conjecture,
( ~ hskp30
| c0_1(a243) ),
c_0_402 ).
cnf(c_0_456,negated_conjecture,
( ~ hskp30
| c3_1(a243) ),
c_0_403 ).
cnf(c_0_457,negated_conjecture,
( ~ hskp30
| c1_1(a243) ),
c_0_404 ).
cnf(c_0_458,negated_conjecture,
( ~ hskp16
| ~ c2_1(a259) ),
c_0_405 ).
cnf(c_0_459,negated_conjecture,
( ~ hskp16
| c1_1(a259) ),
c_0_406 ).
cnf(c_0_460,negated_conjecture,
( ~ hskp28
| hskp16
| c3_1(a237)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_241]),c_0_239]) ).
fof(c_0_461,plain,
( ~ epred25_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_462,negated_conjecture,
( ~ hskp10
| hskp29
| c1_1(a249)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_312]),c_0_313]) ).
cnf(c_0_463,negated_conjecture,
( ~ hskp4
| hskp29
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_314]),c_0_315]),c_0_316]) ).
cnf(c_0_464,negated_conjecture,
( ~ c0_1(X1)
| hskp29
| c3_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_409,c_0_169])]) ).
cnf(c_0_465,negated_conjecture,
( hskp10
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_318,c_0_410]) ).
cnf(c_0_466,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp18
| hskp22
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause158]) ).
cnf(c_0_467,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp11
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause161]) ).
fof(c_0_468,plain,
( ~ epred15_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1)
| hskp14 ) ),
introduced(definition) ).
cnf(c_0_469,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp17
| hskp19
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause159]) ).
cnf(c_0_470,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp12
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause163]) ).
cnf(c_0_471,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp31
| c1_1(X1)
| c0_1(X1) ),
c_0_411 ).
cnf(c_0_472,negated_conjecture,
( ~ hskp14
| c2_1(a257) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_473,negated_conjecture,
( ~ hskp14
| ~ c1_1(a257) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
cnf(c_0_474,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp5
| hskp10
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause162]) ).
fof(c_0_475,plain,
( ~ epred2_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_476,negated_conjecture,
( ~ hskp12
| c0_1(a252) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_477,negated_conjecture,
( ~ hskp12
| ~ c3_1(a252) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_478,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp23
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause160]) ).
cnf(c_0_479,negated_conjecture,
( ~ hskp3
| ~ c1_1(a238)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_412]),c_0_413]) ).
cnf(c_0_480,negated_conjecture,
( ~ hskp3
| c1_1(a238)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_412]),c_0_413]) ).
cnf(c_0_481,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp14
| hskp31
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause146]) ).
cnf(c_0_482,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp17
| hskp29
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause147]) ).
cnf(c_0_483,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp2
| hskp20
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause154]) ).
cnf(c_0_484,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp16
| hskp19
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause150]) ).
cnf(c_0_485,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp17
| hskp9
| c3_1(X1)
| c1_1(X1) ),
c_0_414 ).
cnf(c_0_486,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp27
| hskp24 ),
c_0_415 ).
cnf(c_0_487,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp8
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause157]) ).
cnf(c_0_488,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp20
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_489,negated_conjecture,
( ~ hskp20
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_416]),c_0_417]),c_0_418]) ).
cnf(c_0_490,negated_conjecture,
( ~ hskp11
| hskp20
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_253]),c_0_254]),c_0_255]) ).
cnf(c_0_491,negated_conjecture,
( hskp4
| epred12_0
| epred20_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_421]) ).
cnf(c_0_492,negated_conjecture,
( ~ hskp10
| hskp11
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_422]),c_0_423]) ).
cnf(c_0_493,negated_conjecture,
( ~ hskp13
| hskp10
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_426]),c_0_427]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp24
| hskp11
| epred23_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_495,negated_conjecture,
( hskp24
| hskp13
| epred23_0 ),
inference(spm,[status(thm)],[c_0_430,c_0_431]) ).
cnf(c_0_496,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp31
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause195]) ).
cnf(c_0_497,negated_conjecture,
( ~ epred26_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_432,c_0_245]),c_0_177]) ).
cnf(c_0_498,negated_conjecture,
( epred26_0
| epred35_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_433]),c_0_434]) ).
cnf(c_0_499,negated_conjecture,
( ~ epred14_0
| epred27_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_500,negated_conjecture,
( epred14_0
| epred27_0
| epred31_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_501,negated_conjecture,
( ~ epred31_0
| epred27_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_439,c_0_440]) ).
cnf(c_0_502,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp10
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_311]),c_0_312]),c_0_313]) ).
cnf(c_0_504,negated_conjecture,
( ~ hskp24
| epred9_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_388]),c_0_371]) ).
cnf(c_0_505,negated_conjecture,
( hskp24
| hskp13
| epred9_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_441,c_0_431]) ).
fof(c_0_506,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp16
| ~ c3_1(a259) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp7
| ~ c3_1(a244)
| hskp25
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_261]),c_0_263]) ).
cnf(c_0_509,negated_conjecture,
( ~ hskp7
| c3_1(a244)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_410]),c_0_263]) ).
fof(c_0_510,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| hskp20 ) ),
introduced(definition) ).
fof(c_0_511,plain,
( ~ epred51_0
<=> ! [X3] :
( ~ ndr1_0
| c1_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp1
| hskp3
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_443]),c_0_444]),c_0_445]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp4
| hskp1
| epred10_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_446]),c_0_316]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp3
| c1_1(a238)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_410]),c_0_447]) ).
cnf(c_0_515,negated_conjecture,
( ~ hskp24
| hskp3
| c1_1(a282)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_443]),c_0_369]) ).
fof(c_0_516,plain,
( ~ epred49_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| c0_1(X2)
| hskp11 ) ),
introduced(definition) ).
fof(c_0_517,plain,
( ~ epred48_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| hskp26 ) ),
introduced(definition) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp11
| epred13_0
| epred38_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_449,c_0_295]) ).
cnf(c_0_519,negated_conjecture,
( hskp11
| epred8_0
| epred31_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp5
| epred14_0
| epred20_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_452,c_0_397]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp27
| ~ c2_1(a322) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
cnf(c_0_522,negated_conjecture,
( ~ c0_1(X1)
| hskp30
| c3_1(X1)
| c1_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_453]),c_0_169])]) ).
cnf(c_0_523,negated_conjecture,
( hskp4
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_454]),c_0_169])]) ).
cnf(c_0_524,negated_conjecture,
( ~ hskp30
| hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_455]),c_0_456]),c_0_457]) ).
cnf(c_0_525,negated_conjecture,
( ~ hskp8
| hskp20
| c3_1(a245)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_216]),c_0_214]) ).
cnf(c_0_526,negated_conjecture,
( ~ hskp16
| epred16_0
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_188]),c_0_459]) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp28
| hskp16
| hskp4
| epred30_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_460]) ).
cnf(c_0_528,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred25_0 ),
inference(split_equiv,[status(thm)],[c_0_461]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp10
| hskp29
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_462]),c_0_463]) ).
cnf(c_0_530,negated_conjecture,
( hskp29
| hskp10
| c3_1(X1)
| c1_1(X1)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_531,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp18
| hskp22
| c0_1(X1) ),
c_0_466 ).
fof(c_0_532,plain,
( ~ epred47_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| hskp7 ) ),
introduced(definition) ).
cnf(c_0_533,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp11
| c0_1(X1) ),
c_0_467 ).
cnf(c_0_534,negated_conjecture,
( ~ c1_1(X1)
| hskp14
| c0_1(X1)
| c3_1(X1)
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_468]),c_0_169])]) ).
cnf(c_0_535,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp17
| hskp19
| c0_1(X1) ),
c_0_469 ).
cnf(c_0_536,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp12
| c1_1(X1) ),
c_0_470 ).
cnf(c_0_537,negated_conjecture,
( ~ c2_1(X1)
| hskp31
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_471,c_0_169])]) ).
cnf(c_0_538,negated_conjecture,
( ~ hskp14
| c2_1(a257) ),
c_0_472 ).
cnf(c_0_539,negated_conjecture,
( ~ hskp14
| ~ c1_1(a257) ),
c_0_473 ).
cnf(c_0_540,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp5
| hskp10
| c1_1(X1) ),
c_0_474 ).
fof(c_0_541,plain,
( ~ epred53_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_542,plain,
( ~ epred45_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp20 ) ),
introduced(definition) ).
cnf(c_0_543,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_475]) ).
cnf(c_0_544,negated_conjecture,
( ~ hskp12
| c0_1(a252) ),
c_0_476 ).
cnf(c_0_545,negated_conjecture,
( ~ hskp12
| ~ c3_1(a252) ),
c_0_477 ).
cnf(c_0_546,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp23
| c0_1(X1) ),
c_0_478 ).
cnf(c_0_547,negated_conjecture,
( ~ hskp3
| epred14_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_479,c_0_480]) ).
cnf(c_0_548,negated_conjecture,
( hskp3
| c2_1(X1)
| c1_1(X1)
| epred14_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_443]) ).
cnf(c_0_549,negated_conjecture,
( hskp2
| c2_1(X1)
| c1_1(X1)
| epred14_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_196]) ).
cnf(c_0_550,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp14
| hskp31
| c2_1(X1)
| c0_1(X1) ),
c_0_481 ).
cnf(c_0_551,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp17
| hskp29
| c2_1(X1)
| c0_1(X1) ),
c_0_482 ).
cnf(c_0_552,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp2
| hskp20
| c3_1(X1)
| c2_1(X1) ),
c_0_483 ).
cnf(c_0_553,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp16
| hskp19
| c3_1(X1)
| c0_1(X1) ),
c_0_484 ).
cnf(c_0_554,negated_conjecture,
( ~ hskp26
| c2_1(a314) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_555,negated_conjecture,
( ~ c2_1(X1)
| hskp17
| hskp9
| c3_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_485,c_0_169])]) ).
cnf(c_0_556,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp27
| hskp24 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_486,c_0_169])]) ).
cnf(c_0_557,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp8
| c0_1(X1) ),
c_0_487 ).
cnf(c_0_558,negated_conjecture,
( ~ hskp29
| c2_1(a240) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
fof(c_0_559,plain,
( ~ epred57_0
<=> ! [X3] :
( ~ c0_1(X3)
| ~ ndr1_0
| c3_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_560,plain,
( ~ epred55_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ ndr1_0
| c1_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_561,plain,
( ~ epred54_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_562,negated_conjecture,
( ~ hskp31
| c0_1(a246) ),
inference(fof_simplification,[status(thm)],[clause43]) ).
cnf(c_0_563,negated_conjecture,
( ~ hskp31
| c2_1(a246) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
fof(c_0_564,plain,
( ~ epred44_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp31 ) ),
introduced(definition) ).
cnf(c_0_565,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp20
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_488 ).
cnf(c_0_566,negated_conjecture,
( ~ hskp11
| epred6_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_489,c_0_490]) ).
cnf(c_0_567,negated_conjecture,
( hskp11
| epred12_0
| epred20_0
| epred32_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_423,c_0_491]) ).
cnf(c_0_568,negated_conjecture,
( ~ hskp13
| hskp11
| epred32_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_492,c_0_493]) ).
cnf(c_0_569,negated_conjecture,
( hskp13
| hskp11
| epred23_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
cnf(c_0_570,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp31
| c0_1(X2)
| c2_1(X1) ),
c_0_496 ).
cnf(c_0_571,negated_conjecture,
( ~ epred27_0
| epred35_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_497,c_0_498]) ).
cnf(c_0_572,negated_conjecture,
( epred27_0
| epred33_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_500]),c_0_501]) ).
cnf(c_0_573,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_502 ).
cnf(c_0_574,negated_conjecture,
( ~ hskp13
| epred29_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_503,c_0_493]) ).
cnf(c_0_575,negated_conjecture,
( hskp13
| epred9_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_504,c_0_505]) ).
cnf(c_0_576,negated_conjecture,
( ~ hskp8
| hskp29
| c3_1(a245) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_213]),c_0_214]) ).
cnf(c_0_577,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred18_0 ),
inference(split_equiv,[status(thm)],[c_0_506]) ).
cnf(c_0_578,negated_conjecture,
( ~ hskp16
| ~ c3_1(a259) ),
c_0_507 ).
cnf(c_0_579,negated_conjecture,
( ~ hskp25
| hskp16
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_286]),c_0_287]),c_0_288]) ).
cnf(c_0_580,negated_conjecture,
( ~ hskp7
| hskp25
| epred7_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_508,c_0_509]) ).
cnf(c_0_581,negated_conjecture,
( ~ c1_1(X1)
| hskp20
| c2_1(X1)
| c3_1(X1)
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_510]),c_0_169])]) ).
cnf(c_0_582,negated_conjecture,
( ~ hskp15
| ~ c1_1(a258)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_161]),c_0_223]) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp15
| hskp2
| c1_1(a258)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_196]),c_0_223]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp17
| ~ c0_1(a263) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
fof(c_0_585,plain,
( ~ epred19_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| c0_1(X2)
| hskp7 ) ),
introduced(definition) ).
cnf(c_0_586,negated_conjecture,
( ~ hskp17
| ~ c3_1(a263) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
cnf(c_0_587,negated_conjecture,
( ~ hskp17
| ~ c1_1(a263) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
cnf(c_0_588,negated_conjecture,
( ~ hskp18
| ~ c3_1(a265)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_320]),c_0_228]) ).
cnf(c_0_589,negated_conjecture,
( ~ hskp24
| ~ c1_1(a282)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_320]),c_0_371]) ).
cnf(c_0_590,negated_conjecture,
( ~ hskp24
| hskp18
| c1_1(a282)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_371]),c_0_369]) ).
fof(c_0_591,plain,
( ~ epred11_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| c2_1(X2)
| hskp21 ) ),
introduced(definition) ).
cnf(c_0_592,negated_conjecture,
( ~ hskp27
| ~ c3_1(a322) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_593,negated_conjecture,
( ~ hskp27
| ~ c1_1(a322) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_594,negated_conjecture,
( ~ hskp12
| ~ c1_1(a252) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
fof(c_0_595,plain,
( ~ epred56_0
<=> ! [X3] :
( ~ c0_1(X3)
| c1_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_596,plain,
( ~ epred52_0
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_597,plain,
( ~ epred40_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_598,negated_conjecture,
( ~ hskp29
| c3_1(a240) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_599,negated_conjecture,
( ~ hskp29
| c1_1(a240) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_600,negated_conjecture,
( ~ hskp21
| c0_1(a274) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_601,negated_conjecture,
( ~ hskp21
| c2_1(a274) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_602,negated_conjecture,
( ~ hskp21
| ~ c3_1(a274) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_603,negated_conjecture,
( ~ hskp15
| c1_1(a258)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_410]),c_0_224]) ).
cnf(c_0_604,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred51_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_511]),c_0_169])]) ).
cnf(c_0_605,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause206]) ).
cnf(c_0_606,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause205]) ).
cnf(c_0_607,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause204]) ).
cnf(c_0_608,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause203]) ).
cnf(c_0_609,negated_conjecture,
( ~ c1_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause202]) ).
cnf(c_0_610,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause201]) ).
cnf(c_0_611,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause199]) ).
cnf(c_0_612,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause197]) ).
cnf(c_0_613,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause198]) ).
cnf(c_0_614,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause196]) ).
cnf(c_0_615,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause194]) ).
cnf(c_0_616,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp3
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause182]) ).
cnf(c_0_617,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp4
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause183]) ).
cnf(c_0_618,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
cnf(c_0_619,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp10
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause187]) ).
cnf(c_0_620,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp20
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause193]) ).
cnf(c_0_621,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_622,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_623,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp14
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause177]) ).
cnf(c_0_624,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp21
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause178]) ).
cnf(c_0_625,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause171]) ).
cnf(c_0_626,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp30
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause172]) ).
cnf(c_0_627,negated_conjecture,
( ~ hskp4
| hskp3
| epred10_0
| epred14_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_512,c_0_513]) ).
cnf(c_0_628,negated_conjecture,
( ~ c3_1(X1)
| hskp3
| c2_1(X1)
| c1_1(X1)
| epred29_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_443]) ).
cnf(c_0_629,negated_conjecture,
( ~ hskp3
| epred7_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_479,c_0_514]) ).
cnf(c_0_630,negated_conjecture,
( ~ hskp24
| hskp3
| epred23_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_515]) ).
cnf(c_0_631,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp11
| c0_1(X1)
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_516]),c_0_169])]) ).
cnf(c_0_632,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp26
| c2_1(X1)
| epred48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_517]),c_0_169])]) ).
cnf(c_0_633,negated_conjecture,
( epred8_0
| epred13_0
| epred31_0
| epred38_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_518,c_0_519]) ).
cnf(c_0_634,negated_conjecture,
( ~ hskp11
| epred14_0
| epred20_0
| epred38_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_520,c_0_295]) ).
cnf(c_0_635,negated_conjecture,
( ~ hskp27
| ~ c2_1(a322) ),
c_0_521 ).
cnf(c_0_636,negated_conjecture,
( hskp4
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred5_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_523]),c_0_524]) ).
cnf(c_0_637,negated_conjecture,
( ~ hskp8
| hskp20
| hskp15
| epred6_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_525]) ).
cnf(c_0_638,negated_conjecture,
( ~ hskp28
| hskp4
| epred16_0
| epred20_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_526,c_0_527]) ).
cnf(c_0_639,negated_conjecture,
( ~ hskp28
| ~ c3_1(a237)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_238]),c_0_239]) ).
cnf(c_0_640,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| epred16_0
| epred20_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_188]),c_0_526]) ).
cnf(c_0_641,negated_conjecture,
( hskp29
| c3_1(X1)
| c1_1(X1)
| epred7_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_529,c_0_530]) ).
cnf(c_0_642,negated_conjecture,
( hskp29
| hskp2
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred21_0 ),
inference(spm,[status(thm)],[c_0_464,c_0_196]) ).
cnf(c_0_643,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp22
| hskp18
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_531,c_0_169])]) ).
cnf(c_0_644,negated_conjecture,
( ~ hskp24
| hskp2
| c1_1(a282)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_196]),c_0_369]) ).
cnf(c_0_645,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp7
| c1_1(X1)
| epred47_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_532]),c_0_169])]) ).
cnf(c_0_646,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp24
| hskp11
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_533,c_0_169])]) ).
cnf(c_0_647,negated_conjecture,
( ~ hskp18
| hskp14
| c3_1(a265)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_228]),c_0_226]) ).
cnf(c_0_648,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp19
| hskp17
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_535,c_0_169])]) ).
cnf(c_0_649,negated_conjecture,
( ~ hskp24
| hskp1
| c1_1(a282)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_393]),c_0_369]) ).
cnf(c_0_650,negated_conjecture,
( ~ hskp9
| hskp1
| c2_1(a248)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_393]),c_0_197]) ).
cnf(c_0_651,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp12
| hskp3
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_536,c_0_169])]) ).
cnf(c_0_652,negated_conjecture,
( ~ hskp14
| hskp31
| c0_1(a257) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_538]),c_0_539]) ).
cnf(c_0_653,negated_conjecture,
( ~ hskp7
| hskp29
| c3_1(a244) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_261]),c_0_263]) ).
cnf(c_0_654,negated_conjecture,
( ~ hskp14
| hskp10
| c0_1(a257) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_538]),c_0_539]) ).
cnf(c_0_655,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp10
| hskp5
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_540,c_0_169])]) ).
cnf(c_0_656,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred53_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_541]),c_0_169])]) ).
cnf(c_0_657,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp20
| c3_1(X1)
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_542]),c_0_169])]) ).
cnf(c_0_658,negated_conjecture,
( ~ hskp11
| hskp10
| c0_1(a251) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_253]),c_0_255]) ).
cnf(c_0_659,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp4
| c2_1(X1)
| epred16_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_161]) ).
cnf(c_0_660,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred2_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_543]) ).
cnf(c_0_661,negated_conjecture,
( ~ hskp12
| ~ c2_1(a252)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_544]),c_0_545]) ).
cnf(c_0_662,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp24
| hskp23
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_546,c_0_169])]) ).
cnf(c_0_663,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred16_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_528,c_0_161]) ).
cnf(c_0_664,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred9_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_160,c_0_266]) ).
cnf(c_0_665,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| epred14_0
| epred20_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_547,c_0_548]) ).
cnf(c_0_666,negated_conjecture,
( ~ hskp13
| c2_1(a253)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_161]),c_0_425]) ).
cnf(c_0_667,negated_conjecture,
( ~ hskp19
| c2_1(a269)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_290]),c_0_292]) ).
cnf(c_0_668,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| epred12_0
| epred14_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_363,c_0_549]) ).
cnf(c_0_669,negated_conjecture,
( ~ hskp2
| c2_1(a236)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_266]),c_0_192]) ).
cnf(c_0_670,negated_conjecture,
( ~ c3_1(X1)
| hskp31
| hskp14
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_550,c_0_169])]) ).
cnf(c_0_671,negated_conjecture,
( ~ c3_1(X1)
| hskp29
| hskp17
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_551,c_0_169])]) ).
cnf(c_0_672,negated_conjecture,
( ~ c1_1(X1)
| hskp20
| hskp2
| c2_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_552,c_0_169])]) ).
cnf(c_0_673,negated_conjecture,
( ~ c2_1(X1)
| hskp19
| hskp16
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_553,c_0_169])]) ).
cnf(c_0_674,negated_conjecture,
( ~ hskp26
| c2_1(a314) ),
c_0_554 ).
cnf(c_0_675,negated_conjecture,
( hskp17
| hskp9
| c3_1(X1)
| c1_1(X1)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_555,c_0_410]) ).
cnf(c_0_676,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp27
| hskp24
| epred23_0 ),
inference(spm,[status(thm)],[c_0_556,c_0_370]) ).
cnf(c_0_677,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp8
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_557,c_0_169])]) ).
cnf(c_0_678,negated_conjecture,
( ~ hskp29
| c2_1(a240) ),
c_0_558 ).
cnf(c_0_679,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred57_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_559]),c_0_169])]) ).
cnf(c_0_680,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred55_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_560]),c_0_169])]) ).
cnf(c_0_681,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred54_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_561]),c_0_169])]) ).
cnf(c_0_682,negated_conjecture,
( ~ hskp31
| c0_1(a246) ),
c_0_562 ).
cnf(c_0_683,negated_conjecture,
( ~ hskp31
| c2_1(a246) ),
c_0_563 ).
cnf(c_0_684,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp31
| c2_1(X1)
| epred44_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_564]),c_0_169])]) ).
cnf(c_0_685,negated_conjecture,
( ~ epred6_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_565,c_0_360]),c_0_354]) ).
cnf(c_0_686,negated_conjecture,
( epred6_0
| epred12_0
| epred20_0
| epred32_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_566,c_0_567]) ).
cnf(c_0_687,negated_conjecture,
( hskp11
| epred23_0
| epred32_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_568,c_0_569]) ).
cnf(c_0_688,negated_conjecture,
( ~ epred35_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_570,c_0_564]),c_0_163]) ).
cnf(c_0_689,negated_conjecture,
( epred35_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_572]),c_0_434]) ).
cnf(c_0_690,negated_conjecture,
( ~ hskp5
| epred29_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_503,c_0_397]) ).
cnf(c_0_691,negated_conjecture,
( hskp11
| hskp13
| hskp8 ),
clause37 ).
cnf(c_0_692,negated_conjecture,
( ~ epred9_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_573,c_0_351]),c_0_225]) ).
cnf(c_0_693,negated_conjecture,
( epred9_0
| epred29_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_574,c_0_575]) ).
cnf(c_0_694,negated_conjecture,
( epred6_0
| epred20_0
| epred32_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_566,c_0_333]) ).
cnf(c_0_695,negated_conjecture,
( ~ hskp8
| hskp29
| hskp15
| epred31_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_576]) ).
cnf(c_0_696,negated_conjecture,
( ~ hskp16
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_577]),c_0_459]),c_0_578]) ).
cnf(c_0_697,negated_conjecture,
( ~ hskp7
| hskp16
| epred7_0
| epred26_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_580]) ).
cnf(c_0_698,negated_conjecture,
( ~ hskp16
| hskp20
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_459]),c_0_458]),c_0_578]) ).
cnf(c_0_699,negated_conjecture,
( ~ hskp19
| hskp16
| epred26_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_329]) ).
cnf(c_0_700,negated_conjecture,
( ~ hskp13
| ~ c2_1(a253)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_317]),c_0_425]) ).
cnf(c_0_701,negated_conjecture,
( ~ hskp13
| hskp20
| c2_1(a253)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_425]),c_0_427]) ).
cnf(c_0_702,negated_conjecture,
( ~ hskp24
| ~ c1_1(a282)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_161]),c_0_369]) ).
cnf(c_0_703,negated_conjecture,
( ~ hskp15
| hskp2
| epred16_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_582,c_0_583]) ).
cnf(c_0_704,negated_conjecture,
( ~ hskp17
| ~ c0_1(a263) ),
c_0_584 ).
cnf(c_0_705,negated_conjecture,
( hskp7
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred19_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_585]),c_0_169])]) ).
cnf(c_0_706,negated_conjecture,
( ~ hskp17
| ~ c3_1(a263) ),
c_0_586 ).
cnf(c_0_707,negated_conjecture,
( ~ hskp17
| ~ c1_1(a263) ),
c_0_587 ).
cnf(c_0_708,negated_conjecture,
( ~ hskp18
| epred12_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_588,c_0_269]) ).
cnf(c_0_709,negated_conjecture,
( ~ hskp24
| hskp18
| epred12_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_589,c_0_590]) ).
cnf(c_0_710,negated_conjecture,
( hskp21
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_591]),c_0_169])]) ).
cnf(c_0_711,negated_conjecture,
( ~ hskp27
| ~ c3_1(a322) ),
c_0_592 ).
cnf(c_0_712,negated_conjecture,
( ~ hskp27
| ~ c1_1(a322) ),
c_0_593 ).
cnf(c_0_713,negated_conjecture,
( ~ hskp12
| ~ c1_1(a252) ),
c_0_594 ).
cnf(c_0_714,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred56_0 ),
inference(split_equiv,[status(thm)],[c_0_595]) ).
cnf(c_0_715,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred52_0 ),
inference(split_equiv,[status(thm)],[c_0_596]) ).
cnf(c_0_716,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred40_0 ),
inference(split_equiv,[status(thm)],[c_0_597]) ).
cnf(c_0_717,negated_conjecture,
( ~ hskp29
| c3_1(a240) ),
c_0_598 ).
cnf(c_0_718,negated_conjecture,
( ~ hskp29
| c1_1(a240) ),
c_0_599 ).
cnf(c_0_719,negated_conjecture,
( ~ hskp21
| c0_1(a274) ),
c_0_600 ).
cnf(c_0_720,negated_conjecture,
( ~ hskp21
| c2_1(a274) ),
c_0_601 ).
cnf(c_0_721,negated_conjecture,
( ~ hskp21
| ~ c3_1(a274) ),
c_0_602 ).
cnf(c_0_722,negated_conjecture,
( ~ hskp7
| ~ c3_1(a244)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_261]),c_0_262]) ).
cnf(c_0_723,negated_conjecture,
( ~ hskp15
| epred7_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_582,c_0_603]) ).
cnf(c_0_724,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| epred14_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_604]) ).
cnf(c_0_725,negated_conjecture,
( c3_1(X1)
| c1_1(X1)
| epred7_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_215,c_0_410]) ).
cnf(c_0_726,negated_conjecture,
( ~ hskp23
| epred16_0
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_188]),c_0_374]) ).
cnf(c_0_727,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c2_1(X2) ),
c_0_605 ).
cnf(c_0_728,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c1_1(X2)
| c2_1(X1) ),
c_0_606 ).
cnf(c_0_729,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2) ),
c_0_607 ).
cnf(c_0_730,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
c_0_608 ).
cnf(c_0_731,negated_conjecture,
( ~ c1_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_609 ).
cnf(c_0_732,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
c_0_610 ).
cnf(c_0_733,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_611 ).
cnf(c_0_734,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11
| c0_1(X2) ),
c_0_612 ).
cnf(c_0_735,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| c2_1(X2) ),
c_0_613 ).
cnf(c_0_736,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c2_1(X1) ),
c_0_614 ).
cnf(c_0_737,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| c0_1(X2)
| c3_1(X1) ),
c_0_615 ).
cnf(c_0_738,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp3
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
c_0_616 ).
cnf(c_0_739,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp4
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
c_0_617 ).
cnf(c_0_740,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_618 ).
cnf(c_0_741,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp10
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_619 ).
cnf(c_0_742,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp20
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
c_0_620 ).
cnf(c_0_743,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_621 ).
cnf(c_0_744,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_622 ).
cnf(c_0_745,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp14
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
c_0_623 ).
cnf(c_0_746,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp21
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
c_0_624 ).
cnf(c_0_747,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
c_0_625 ).
cnf(c_0_748,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp30
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_626 ).
cnf(c_0_749,negated_conjecture,
( ~ hskp26
| ~ c3_1(a314) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
cnf(c_0_750,negated_conjecture,
( ~ hskp26
| ~ c0_1(a314) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
cnf(c_0_751,negated_conjecture,
( ~ hskp14
| c3_1(a257) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_752,negated_conjecture,
( ~ hskp31
| c3_1(a246) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_753,negated_conjecture,
( ~ hskp4
| epred10_0
| epred43_0
| epred14_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_547,c_0_627]) ).
cnf(c_0_754,negated_conjecture,
( ~ hskp4
| hskp3
| c2_1(a239)
| c1_1(a239)
| epred29_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_628,c_0_314]) ).
cnf(c_0_755,negated_conjecture,
( ~ hskp24
| epred23_0
| epred43_0
| epred7_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_629,c_0_630]) ).
cnf(c_0_756,negated_conjecture,
( ~ hskp24
| ~ c3_1(a282)
| hskp3
| epred43_0
| hskp11
| c0_1(a282)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_631,c_0_515]) ).
cnf(c_0_757,negated_conjecture,
( ~ hskp24
| ~ c3_1(a282)
| hskp3
| epred43_0
| hskp26
| c2_1(a282)
| epred48_0 ),
inference(spm,[status(thm)],[c_0_632,c_0_515]) ).
cnf(c_0_758,negated_conjecture,
( ~ epred9_0
| epred13_0
| epred31_0
| epred38_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_382,c_0_633]) ).
cnf(c_0_759,negated_conjecture,
( epred8_0
| epred31_0
| epred14_0
| epred20_0
| epred38_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_634,c_0_519]) ).
cnf(c_0_760,negated_conjecture,
( ~ hskp27
| hskp4
| c3_1(a322)
| c1_1(a322)
| epred5_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_635,c_0_636]) ).
cnf(c_0_761,negated_conjecture,
( ~ hskp8
| hskp20
| epred6_0
| epred31_0
| hskp11
| epred8_0 ),
inference(spm,[status(thm)],[c_0_264,c_0_637]) ).
cnf(c_0_762,negated_conjecture,
( hskp22
| hskp2
| hskp4
| epred16_0
| epred20_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_638,c_0_156]) ).
cnf(c_0_763,negated_conjecture,
( ~ c1_1(a237)
| ~ hskp28
| epred16_0
| epred20_0
| epred30_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_639,c_0_640]) ).
cnf(c_0_764,negated_conjecture,
( ~ c1_1(a253)
| ~ hskp13
| epred16_0
| epred20_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_427,c_0_640]) ).
cnf(c_0_765,negated_conjecture,
( ~ hskp11
| hskp29
| c1_1(a251)
| epred7_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_641]) ).
cnf(c_0_766,negated_conjecture,
( ~ hskp7
| hskp29
| hskp2
| c3_1(a244)
| c1_1(a244)
| epred21_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_642]) ).
cnf(c_0_767,negated_conjecture,
( ~ hskp24
| ~ c3_1(a282)
| hskp2
| epred21_0
| hskp22
| hskp18
| c0_1(a282) ),
inference(spm,[status(thm)],[c_0_643,c_0_644]) ).
cnf(c_0_768,negated_conjecture,
( ~ hskp9
| ~ c3_1(a248)
| hskp2
| epred21_0
| hskp7
| c1_1(a248)
| epred47_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_235]) ).
cnf(c_0_769,negated_conjecture,
( ~ hskp18
| ~ c2_1(a265)
| hskp14
| epred15_0
| hskp24
| hskp11
| c0_1(a265) ),
inference(spm,[status(thm)],[c_0_646,c_0_647]) ).
cnf(c_0_770,negated_conjecture,
( ~ hskp18
| ~ c2_1(a265)
| hskp14
| epred15_0
| hskp19
| hskp17
| c0_1(a265) ),
inference(spm,[status(thm)],[c_0_648,c_0_647]) ).
cnf(c_0_771,negated_conjecture,
( ~ hskp24
| ~ c3_1(a282)
| epred13_0
| hskp22
| hskp18
| c0_1(a282) ),
inference(spm,[status(thm)],[c_0_643,c_0_590]) ).
cnf(c_0_772,negated_conjecture,
( ~ hskp24
| ~ c3_1(a282)
| hskp1
| epred10_0
| hskp11
| c0_1(a282)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_631,c_0_649]) ).
cnf(c_0_773,negated_conjecture,
( ~ hskp9
| ~ c3_1(a248)
| hskp1
| epred10_0
| hskp7
| c1_1(a248)
| epred47_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_650]) ).
cnf(c_0_774,negated_conjecture,
( ~ hskp14
| ~ c3_1(a257)
| hskp31
| hskp12
| hskp3
| c1_1(a257) ),
inference(spm,[status(thm)],[c_0_651,c_0_652]) ).
cnf(c_0_775,negated_conjecture,
( ~ hskp7
| hskp29
| c2_1(a244)
| c1_1(a244)
| epred22_0 ),
inference(spm,[status(thm)],[c_0_408,c_0_653]) ).
cnf(c_0_776,negated_conjecture,
( ~ hskp14
| ~ c3_1(a257)
| hskp10
| hskp12
| hskp3
| c1_1(a257) ),
inference(spm,[status(thm)],[c_0_651,c_0_654]) ).
cnf(c_0_777,negated_conjecture,
( ~ hskp14
| ~ c3_1(a257)
| hskp10
| hskp5
| c1_1(a257) ),
inference(spm,[status(thm)],[c_0_655,c_0_654]) ).
cnf(c_0_778,negated_conjecture,
( ~ hskp14
| ~ c3_1(a257)
| hskp10
| c1_1(a257)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_656,c_0_654]) ).
cnf(c_0_779,negated_conjecture,
( ~ hskp11
| ~ c2_1(a251)
| hskp10
| hskp20
| c3_1(a251)
| epred45_0 ),
inference(spm,[status(thm)],[c_0_657,c_0_658]) ).
cnf(c_0_780,negated_conjecture,
( ~ hskp23
| ~ c3_1(a281)
| hskp4
| c2_1(a281)
| epred16_0 ),
inference(spm,[status(thm)],[c_0_659,c_0_374]) ).
cnf(c_0_781,negated_conjecture,
( ~ hskp11
| c3_1(a251)
| c1_1(a251)
| epred2_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_660,c_0_253]) ).
cnf(c_0_782,negated_conjecture,
( ~ c1_1(a276)
| ~ hskp22
| c3_1(a276)
| epred18_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_361,c_0_577]) ).
cnf(c_0_783,negated_conjecture,
( ~ hskp12
| c3_1(a252)
| c1_1(a252)
| epred7_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_661,c_0_410]) ).
cnf(c_0_784,negated_conjecture,
( ~ hskp18
| ~ c2_1(a265)
| epred33_0
| hskp24
| hskp23
| c0_1(a265) ),
inference(spm,[status(thm)],[c_0_662,c_0_269]) ).
cnf(c_0_785,negated_conjecture,
( ~ c3_1(a281)
| ~ c1_1(a281)
| ~ hskp23
| epred16_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_663]) ).
cnf(c_0_786,negated_conjecture,
( ~ c3_1(a281)
| ~ c1_1(a281)
| ~ hskp23
| epred9_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_664]) ).
cnf(c_0_787,negated_conjecture,
( ~ hskp22
| ~ c1_1(a276)
| epred20_0
| hskp16
| c3_1(a276)
| epred30_0 ),
inference(spm,[status(thm)],[c_0_407,c_0_362]) ).
cnf(c_0_788,negated_conjecture,
( ~ hskp4
| c1_1(a239)
| epred14_0
| epred20_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_315,c_0_665]) ).
cnf(c_0_789,negated_conjecture,
( ~ hskp13
| ~ c1_1(a253)
| epred16_0
| c3_1(a253)
| epred33_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_666]) ).
cnf(c_0_790,negated_conjecture,
( ~ hskp2
| ~ c3_1(a236)
| ~ c1_1(a236)
| epred16_0
| hskp27
| hskp24 ),
inference(spm,[status(thm)],[c_0_556,c_0_233]) ).
cnf(c_0_791,negated_conjecture,
( ~ hskp19
| ~ c3_1(a269)
| epred14_0
| hskp7
| c1_1(a269)
| epred47_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_667]) ).
cnf(c_0_792,negated_conjecture,
( ~ hskp27
| c1_1(a322)
| epred12_0
| epred14_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_635,c_0_668]) ).
cnf(c_0_793,negated_conjecture,
( ~ hskp2
| ~ c3_1(a236)
| ~ c1_1(a236)
| epred9_0
| hskp27
| hskp24 ),
inference(spm,[status(thm)],[c_0_556,c_0_669]) ).
cnf(c_0_794,negated_conjecture,
( ~ hskp7
| epred7_0
| hskp29
| c2_1(a244)
| c1_1(a244)
| epred22_0 ),
inference(spm,[status(thm)],[c_0_408,c_0_509]) ).
cnf(c_0_795,negated_conjecture,
( ~ hskp7
| epred7_0
| hskp18
| c2_1(a244)
| c1_1(a244)
| epred13_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_509]) ).
cnf(c_0_796,negated_conjecture,
( ~ hskp24
| hskp31
| hskp14
| c0_1(a282)
| c2_1(a282) ),
inference(spm,[status(thm)],[c_0_670,c_0_371]) ).
cnf(c_0_797,negated_conjecture,
( ~ hskp2
| hskp31
| hskp14
| c0_1(a236)
| c2_1(a236) ),
inference(spm,[status(thm)],[c_0_670,c_0_192]) ).
cnf(c_0_798,negated_conjecture,
( ~ hskp24
| hskp29
| hskp17
| c0_1(a282)
| c2_1(a282) ),
inference(spm,[status(thm)],[c_0_671,c_0_371]) ).
cnf(c_0_799,negated_conjecture,
( ~ hskp16
| hskp20
| hskp2
| c2_1(a259)
| c3_1(a259) ),
inference(spm,[status(thm)],[c_0_672,c_0_459]) ).
cnf(c_0_800,negated_conjecture,
( ~ hskp13
| hskp20
| hskp2
| c2_1(a253)
| c3_1(a253) ),
inference(spm,[status(thm)],[c_0_672,c_0_425]) ).
cnf(c_0_801,negated_conjecture,
( ~ hskp26
| hskp19
| hskp16
| c0_1(a314)
| c3_1(a314) ),
inference(spm,[status(thm)],[c_0_673,c_0_674]) ).
cnf(c_0_802,negated_conjecture,
( ~ hskp18
| hskp19
| hskp16
| c0_1(a265)
| c3_1(a265) ),
inference(spm,[status(thm)],[c_0_673,c_0_227]) ).
cnf(c_0_803,negated_conjecture,
( ~ hskp11
| hskp17
| hskp9
| c1_1(a251)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_675]) ).
cnf(c_0_804,negated_conjecture,
( ~ hskp8
| hskp17
| hskp9
| c3_1(a245)
| c1_1(a245) ),
inference(spm,[status(thm)],[c_0_555,c_0_216]) ).
cnf(c_0_805,negated_conjecture,
( ~ hskp5
| ~ c2_1(a241)
| hskp24
| hskp23
| c0_1(a241) ),
inference(spm,[status(thm)],[c_0_662,c_0_251]) ).
cnf(c_0_806,negated_conjecture,
( ~ hskp2
| ~ c2_1(a236)
| hskp24
| hskp11
| c0_1(a236) ),
inference(spm,[status(thm)],[c_0_646,c_0_192]) ).
cnf(c_0_807,negated_conjecture,
( ~ hskp2
| ~ c2_1(a236)
| hskp19
| hskp17
| c0_1(a236) ),
inference(spm,[status(thm)],[c_0_648,c_0_192]) ).
cnf(c_0_808,negated_conjecture,
( ~ hskp2
| ~ c1_1(a236)
| hskp27
| hskp24
| epred23_0 ),
inference(spm,[status(thm)],[c_0_676,c_0_192]) ).
cnf(c_0_809,negated_conjecture,
( ~ hskp18
| ~ c2_1(a265)
| hskp13
| hskp8
| c0_1(a265) ),
inference(spm,[status(thm)],[c_0_677,c_0_228]) ).
cnf(c_0_810,negated_conjecture,
( ~ hskp8
| ~ c3_1(a245)
| hskp12
| hskp3
| c1_1(a245) ),
inference(spm,[status(thm)],[c_0_651,c_0_213]) ).
cnf(c_0_811,negated_conjecture,
( ~ hskp7
| ~ c3_1(a244)
| hskp12
| hskp3
| c1_1(a244) ),
inference(spm,[status(thm)],[c_0_651,c_0_261]) ).
cnf(c_0_812,negated_conjecture,
( ~ hskp29
| ~ c3_1(a240)
| ~ c1_1(a240)
| hskp27
| hskp24 ),
inference(spm,[status(thm)],[c_0_556,c_0_678]) ).
cnf(c_0_813,negated_conjecture,
( ~ hskp28
| ~ c3_1(a237)
| ~ c1_1(a237)
| hskp27
| hskp24 ),
inference(spm,[status(thm)],[c_0_556,c_0_241]) ).
cnf(c_0_814,negated_conjecture,
( ~ hskp18
| ~ c3_1(a265)
| ~ c1_1(a265)
| hskp27
| hskp24 ),
inference(spm,[status(thm)],[c_0_556,c_0_227]) ).
cnf(c_0_815,negated_conjecture,
( ~ hskp7
| c2_1(a244)
| c3_1(a244)
| epred57_0 ),
inference(spm,[status(thm)],[c_0_679,c_0_261]) ).
cnf(c_0_816,negated_conjecture,
( ~ c3_1(a244)
| ~ hskp7
| c1_1(a244)
| epred55_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_680]) ).
cnf(c_0_817,negated_conjecture,
( ~ c3_1(a239)
| ~ hskp4
| c1_1(a239)
| epred55_0 ),
inference(spm,[status(thm)],[c_0_315,c_0_680]) ).
cnf(c_0_818,negated_conjecture,
( ~ c1_1(a253)
| ~ hskp13
| c3_1(a253)
| epred54_0 ),
inference(spm,[status(thm)],[c_0_426,c_0_681]) ).
cnf(c_0_819,negated_conjecture,
( ~ hskp31
| ~ c3_1(a246)
| c1_1(a246)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_656,c_0_682]) ).
cnf(c_0_820,negated_conjecture,
( ~ hskp19
| ~ c3_1(a269)
| c1_1(a269)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_656,c_0_290]) ).
cnf(c_0_821,negated_conjecture,
( ~ hskp10
| ~ c3_1(a249)
| c1_1(a249)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_656,c_0_311]) ).
cnf(c_0_822,negated_conjecture,
( ~ hskp8
| ~ c3_1(a245)
| c1_1(a245)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_656,c_0_213]) ).
cnf(c_0_823,negated_conjecture,
( ~ hskp7
| ~ c3_1(a244)
| c1_1(a244)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_656,c_0_261]) ).
cnf(c_0_824,negated_conjecture,
( ~ hskp24
| c2_1(a282)
| c1_1(a282)
| epred51_0 ),
inference(spm,[status(thm)],[c_0_448,c_0_604]) ).
cnf(c_0_825,negated_conjecture,
( ~ hskp1
| c2_1(a235)
| c1_1(a235)
| epred51_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_604]) ).
cnf(c_0_826,negated_conjecture,
( ~ hskp2
| ~ c3_1(a236)
| hskp11
| c0_1(a236)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_631,c_0_193]) ).
cnf(c_0_827,negated_conjecture,
( ~ hskp23
| ~ c3_1(a281)
| hskp26
| c2_1(a281)
| epred48_0 ),
inference(spm,[status(thm)],[c_0_632,c_0_374]) ).
cnf(c_0_828,negated_conjecture,
( ~ hskp31
| ~ c3_1(a246)
| hskp7
| c1_1(a246)
| epred47_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_683]) ).
cnf(c_0_829,negated_conjecture,
( ~ hskp14
| ~ c3_1(a257)
| hskp7
| c1_1(a257)
| epred47_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_538]) ).
cnf(c_0_830,negated_conjecture,
( ~ hskp8
| ~ c3_1(a245)
| hskp7
| c1_1(a245)
| epred47_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_216]) ).
cnf(c_0_831,negated_conjecture,
( ~ hskp28
| ~ c2_1(a237)
| hskp20
| c3_1(a237)
| epred45_0 ),
inference(spm,[status(thm)],[c_0_657,c_0_238]) ).
cnf(c_0_832,negated_conjecture,
( ~ hskp22
| ~ c2_1(a276)
| hskp20
| c3_1(a276)
| epred45_0 ),
inference(spm,[status(thm)],[c_0_657,c_0_319]) ).
cnf(c_0_833,negated_conjecture,
( ~ hskp12
| ~ c2_1(a252)
| hskp20
| c3_1(a252)
| epred45_0 ),
inference(spm,[status(thm)],[c_0_657,c_0_544]) ).
cnf(c_0_834,negated_conjecture,
( ~ hskp8
| ~ c2_1(a245)
| hskp20
| c3_1(a245)
| epred45_0 ),
inference(spm,[status(thm)],[c_0_657,c_0_213]) ).
cnf(c_0_835,negated_conjecture,
( ~ hskp20
| ~ c1_1(a271)
| hskp31
| c2_1(a271)
| epred44_0 ),
inference(spm,[status(thm)],[c_0_684,c_0_416]) ).
cnf(c_0_836,negated_conjecture,
( ~ epred7_0
| epred12_0
| epred20_0
| epred32_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_685,c_0_686]) ).
cnf(c_0_837,negated_conjecture,
( epred6_0
| epred20_0
| epred23_0
| epred32_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_566,c_0_687]) ).
cnf(c_0_838,negated_conjecture,
( ~ epred44_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_688,c_0_689]) ).
cnf(c_0_839,negated_conjecture,
( ~ hskp11
| epred29_0
| epred38_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_690,c_0_295]) ).
cnf(c_0_840,negated_conjecture,
( hskp13
| epred8_0
| epred27_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_691]),c_0_301]) ).
cnf(c_0_841,negated_conjecture,
( ~ epred30_0
| epred29_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_692,c_0_693]) ).
cnf(c_0_842,negated_conjecture,
( ~ epred7_0
| epred20_0
| epred32_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_685,c_0_694]) ).
cnf(c_0_843,negated_conjecture,
( ~ hskp8
| hskp29
| hskp11
| epred8_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_264,c_0_695]) ).
cnf(c_0_844,negated_conjecture,
( ~ hskp7
| epred7_0
| epred18_0
| epred26_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_696,c_0_697]) ).
cnf(c_0_845,negated_conjecture,
( ~ hskp19
| hskp20
| epred26_0
| epred28_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_698,c_0_699]) ).
cnf(c_0_846,negated_conjecture,
( ~ hskp13
| hskp20
| epred28_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_700,c_0_701]) ).
cnf(c_0_847,negated_conjecture,
( ~ hskp7
| epred7_0
| epred26_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_580]) ).
cnf(c_0_848,negated_conjecture,
( ~ hskp24
| hskp2
| epred21_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_644]) ).
cnf(c_0_849,negated_conjecture,
( ~ hskp24
| hskp2
| epred16_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_702,c_0_644]) ).
cnf(c_0_850,negated_conjecture,
( hskp8
| hskp7
| hskp2
| epred16_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_703,c_0_265]) ).
cnf(c_0_851,negated_conjecture,
( ~ hskp1
| hskp2
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_196]),c_0_444]),c_0_445]) ).
cnf(c_0_852,negated_conjecture,
( ~ hskp17
| hskp7
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_704,c_0_705]),c_0_706]),c_0_707]) ).
cnf(c_0_853,negated_conjecture,
( ~ hskp13
| hskp14
| epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_425]),c_0_426]),c_0_427]) ).
cnf(c_0_854,negated_conjecture,
( ~ hskp24
| epred12_0
| epred13_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_708,c_0_709]) ).
cnf(c_0_855,negated_conjecture,
( ~ hskp7
| hskp21
| c3_1(a244)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_710]),c_0_263]) ).
cnf(c_0_856,negated_conjecture,
( ~ hskp27
| hskp21
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_710]),c_0_711]),c_0_712]) ).
cnf(c_0_857,negated_conjecture,
( ~ hskp24
| hskp1
| epred10_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_649]) ).
cnf(c_0_858,negated_conjecture,
( ~ hskp24
| hskp1
| epred10_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_702,c_0_649]) ).
cnf(c_0_859,negated_conjecture,
( ~ hskp12
| hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_544]),c_0_545]),c_0_713]) ).
cnf(c_0_860,negated_conjecture,
( ~ hskp12
| epred56_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_544]),c_0_545]),c_0_713]) ).
cnf(c_0_861,negated_conjecture,
( ~ hskp3
| c1_1(a238)
| epred56_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_412]),c_0_447]) ).
cnf(c_0_862,negated_conjecture,
( ~ hskp13
| epred52_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_715]),c_0_425]),c_0_427]) ).
cnf(c_0_863,negated_conjecture,
( ~ hskp29
| epred40_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_678]),c_0_717]),c_0_718]) ).
cnf(c_0_864,negated_conjecture,
( ~ hskp21
| epred37_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_719]),c_0_720]),c_0_721]) ).
cnf(c_0_865,negated_conjecture,
( ~ hskp7
| epred7_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_722,c_0_509]) ).
cnf(c_0_866,negated_conjecture,
( ~ hskp10
| ~ c1_1(a249)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_311]),c_0_312]) ).
cnf(c_0_867,negated_conjecture,
( ~ hskp10
| ~ c1_1(a249)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_370]),c_0_312]) ).
cnf(c_0_868,negated_conjecture,
( ~ hskp3
| ~ c1_1(a238)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_577]),c_0_447]) ).
cnf(c_0_869,negated_conjecture,
( hskp8
| hskp7
| epred7_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_723,c_0_265]) ).
cnf(c_0_870,negated_conjecture,
( ~ hskp12
| c2_1(a252)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_544]),c_0_713]) ).
cnf(c_0_871,negated_conjecture,
( ~ hskp24
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_266]),c_0_371]),c_0_369]) ).
cnf(c_0_872,negated_conjecture,
( ~ hskp27
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_410]),c_0_711]),c_0_712]) ).
cnf(c_0_873,negated_conjecture,
( ~ hskp4
| epred14_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_724]),c_0_316]) ).
cnf(c_0_874,negated_conjecture,
( ~ hskp17
| epred7_0
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_725]),c_0_707]) ).
cnf(c_0_875,negated_conjecture,
( hskp24
| hskp13
| epred16_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_726,c_0_431]) ).
cnf(c_0_876,negated_conjecture,
( ~ epred23_0
| ~ epred25_0
| ~ epred57_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_727,c_0_559]),c_0_323]),c_0_461]) ).
cnf(c_0_877,negated_conjecture,
( ~ epred29_0
| ~ epred53_0
| ~ epred56_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_728,c_0_541]),c_0_595]),c_0_310]) ).
cnf(c_0_878,negated_conjecture,
( ~ epred12_0
| ~ epred25_0
| ~ epred51_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_729,c_0_511]),c_0_283]),c_0_461]) ).
cnf(c_0_879,negated_conjecture,
( ~ epred18_0
| ~ epred33_0
| ~ epred55_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_730,c_0_560]),c_0_159]),c_0_506]) ).
cnf(c_0_880,negated_conjecture,
( ~ epred16_0
| ~ epred23_0
| ~ epred54_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_731,c_0_561]),c_0_323]),c_0_154]) ).
cnf(c_0_881,negated_conjecture,
( ~ epred7_0
| ~ epred14_0
| ~ epred53_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_732,c_0_541]),c_0_217]),c_0_354]) ).
cnf(c_0_882,negated_conjecture,
( ~ epred23_0
| ~ epred51_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_733,c_0_511]),c_0_596]),c_0_323]) ).
cnf(c_0_883,negated_conjecture,
( ~ epred40_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_734,c_0_516]),c_0_597]) ).
cnf(c_0_884,negated_conjecture,
( ~ epred25_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_735,c_0_517]),c_0_461]) ).
cnf(c_0_885,negated_conjecture,
( ~ epred20_0
| ~ epred47_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_736,c_0_532]),c_0_153]) ).
cnf(c_0_886,negated_conjecture,
( ~ epred45_0
| ~ epred46_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_737,c_0_542]),c_0_280]) ).
cnf(c_0_887,negated_conjecture,
( ~ epred25_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_738,c_0_390]),c_0_461]) ).
cnf(c_0_888,negated_conjecture,
( ~ epred39_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_739,c_0_454]),c_0_597]) ).
cnf(c_0_889,negated_conjecture,
( ~ epred37_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_740,c_0_206]),c_0_201]) ).
cnf(c_0_890,negated_conjecture,
( ~ epred34_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_741,c_0_365]),c_0_163]) ).
cnf(c_0_891,negated_conjecture,
( ~ epred28_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_742,c_0_510]),c_0_310]) ).
cnf(c_0_892,negated_conjecture,
( ~ epred22_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_743,c_0_352]),c_0_323]) ).
cnf(c_0_893,negated_conjecture,
( ~ epred19_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_744,c_0_585]),c_0_153]) ).
cnf(c_0_894,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_745,c_0_468]),c_0_154]) ).
cnf(c_0_895,negated_conjecture,
( ~ epred11_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_746,c_0_591]),c_0_283]) ).
cnf(c_0_896,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_747,c_0_345]),c_0_225]) ).
cnf(c_0_897,negated_conjecture,
( ~ epred2_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_748,c_0_453]),c_0_475]) ).
cnf(c_0_898,negated_conjecture,
( ~ hskp26
| ~ c3_1(a314) ),
c_0_749 ).
cnf(c_0_899,negated_conjecture,
( ~ hskp26
| ~ c0_1(a314) ),
c_0_750 ).
cnf(c_0_900,negated_conjecture,
( ~ hskp14
| c3_1(a257) ),
c_0_751 ).
cnf(c_0_901,negated_conjecture,
( ~ hskp31
| c3_1(a246) ),
c_0_752 ).
cnf(c_0_902,negated_conjecture,
( hskp14
| hskp13
| hskp2 ),
clause40 ).
cnf(c_0_903,negated_conjecture,
( hskp24
| hskp13
| hskp8 ),
clause38 ).
cnf(c_0_904,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_753,c_0_754,c_0_755,c_0_756,c_0_757,c_0_758,c_0_759,c_0_760,c_0_761,c_0_762,c_0_763,c_0_764,c_0_765,c_0_766,c_0_767,c_0_768,c_0_769,c_0_770,c_0_771,c_0_772,c_0_773,c_0_774,c_0_775,c_0_776,c_0_777,c_0_778,c_0_779,c_0_780,c_0_781,c_0_782,c_0_783,c_0_784,c_0_785,c_0_786,c_0_787,c_0_788,c_0_789,c_0_790,c_0_791,c_0_792,c_0_793,c_0_794,c_0_795,c_0_796,c_0_797,c_0_798,c_0_799,c_0_800,c_0_801,c_0_802,c_0_803,c_0_804,c_0_805,c_0_806,c_0_807,c_0_808,c_0_809,c_0_810,c_0_811,c_0_812,c_0_813,c_0_814,c_0_815,c_0_816,c_0_817,c_0_818,c_0_819,c_0_820,c_0_821,c_0_822,c_0_823,c_0_824,c_0_825,c_0_826,c_0_827,c_0_828,c_0_829,c_0_830,c_0_831,c_0_832,c_0_833,c_0_834,c_0_835,c_0_836,c_0_837,c_0_838,c_0_689,c_0_839,c_0_295,c_0_840,c_0_568,c_0_841,c_0_842,c_0_333,c_0_843,c_0_844,c_0_845,c_0_698,c_0_846,c_0_847,c_0_463,c_0_848,c_0_849,c_0_850,c_0_851,c_0_852,c_0_853,c_0_854,c_0_396,c_0_348,c_0_855,c_0_856,c_0_857,c_0_858,c_0_859,c_0_653,c_0_397,c_0_364,c_0_284,c_0_860,c_0_861,c_0_862,c_0_398,c_0_700,c_0_566,c_0_490,c_0_525,c_0_863,c_0_285,c_0_420,c_0_864,c_0_269,c_0_503,c_0_865,c_0_301,c_0_639,c_0_866,c_0_428,c_0_495,c_0_430,c_0_867,c_0_362,c_0_489,c_0_452,c_0_400,c_0_629,c_0_547,c_0_696,c_0_868,c_0_702,c_0_233,c_0_869,c_0_870,c_0_302,c_0_588,c_0_363,c_0_871,c_0_509,c_0_872,c_0_651,c_0_873,c_0_656,c_0_645,c_0_874,c_0_875,c_0_237,c_0_716,c_0_528,c_0_876,c_0_877,c_0_878,c_0_879,c_0_880,c_0_881,c_0_882,c_0_883,c_0_884,c_0_885,c_0_886,c_0_887,c_0_888,c_0_889,c_0_890,c_0_378,c_0_341,c_0_692,c_0_891,c_0_497,c_0_892,c_0_385,c_0_893,c_0_894,c_0_435,c_0_895,c_0_896,c_0_382,c_0_685,c_0_897,c_0_445,c_0_444,c_0_190,c_0_316,c_0_315,c_0_249,c_0_263,c_0_262,c_0_214,c_0_197,c_0_255,c_0_254,c_0_713,c_0_545,c_0_427,c_0_539,c_0_578,c_0_458,c_0_226,c_0_292,c_0_418,c_0_229,c_0_372,c_0_369,c_0_448,c_0_898,c_0_899,c_0_712,c_0_711,c_0_193,c_0_425,c_0_228,c_0_417,c_0_231,c_0_374,c_0_239,c_0_718,c_0_192,c_0_314,c_0_195,c_0_312,c_0_900,c_0_291,c_0_373,c_0_371,c_0_717,c_0_901,c_0_250,c_0_216,c_0_253,c_0_227,c_0_241,c_0_683,c_0_682,c_0_691,c_0_902,c_0_330,c_0_271,c_0_903,c_0_431,c_0_156]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN502-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.37 % Computer : n012.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 11:03:29 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 15.61/7.46 % Version: 3.5.1
% 15.61/7.46 % Preprocessing class: FSLSSLSMSSSNFFN.
% 15.61/7.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.61/7.46 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 15.61/7.46 % Starting new_bool_3 with 300s (1) cores
% 15.61/7.46 % Starting new_bool_1 with 300s (1) cores
% 15.61/7.46 % Starting sh5l with 300s (1) cores
% 15.61/7.46 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2226217 completed with status 0
% 15.61/7.46 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 15.61/7.46 % Preprocessing class: FSLSSLSMSSSNFFN.
% 15.61/7.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.61/7.46 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 15.61/7.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.61/7.46 % No SInE strategy applied
% 15.61/7.46 % Search class: FGHNF-FSMM00-SFFFFFNN
% 15.61/7.46 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 15.61/7.46 % Starting SubtermCWHack with 151s (1) cores
% 15.61/7.46 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 15.61/7.46 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 15.61/7.46 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 15.61/7.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 15.61/7.46 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2226223 completed with status 0
% 15.61/7.46 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 15.61/7.46 % Preprocessing class: FSLSSLSMSSSNFFN.
% 15.61/7.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.61/7.46 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 15.61/7.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.61/7.46 % No SInE strategy applied
% 15.61/7.46 % Search class: FGHNF-FSMM00-SFFFFFNN
% 15.61/7.46 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 15.61/7.46 % Starting SubtermCWHack with 151s (1) cores
% 15.61/7.46 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 15.61/7.46 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 15.61/7.46 % Preprocessing time : 0.002 s
% 15.61/7.46 % SatCheck found unsatisfiable ground set
% 15.61/7.46
% 15.61/7.46 % Proof found!
% 15.61/7.46 % SZS status Unsatisfiable
% 15.61/7.46 % SZS output start CNFRefutation
% See solution above
% 15.61/7.46 % Parsed axioms : 206
% 15.61/7.46 % Removed by relevancy pruning/SinE : 0
% 15.61/7.46 % Initial clauses : 206
% 15.61/7.46 % Removed in clause preprocessing : 0
% 15.61/7.46 % Initial clauses in saturation : 206
% 15.61/7.46 % Processed clauses : 7373
% 15.61/7.46 % ...of these trivial : 0
% 15.61/7.46 % ...subsumed : 2373
% 15.61/7.46 % ...remaining for further processing : 5000
% 15.61/7.46 % Other redundant clauses eliminated : 0
% 15.61/7.46 % Clauses deleted for lack of memory : 0
% 15.61/7.46 % Backward-subsumed : 1089
% 15.61/7.46 % Backward-rewritten : 62
% 15.61/7.46 % Generated clauses : 76322
% 15.61/7.46 % ...of the previous two non-redundant : 70256
% 15.61/7.46 % ...aggressively subsumed : 0
% 15.61/7.46 % Contextual simplify-reflections : 638
% 15.61/7.46 % Paramodulations : 76227
% 15.61/7.46 % Factorizations : 0
% 15.61/7.46 % NegExts : 0
% 15.61/7.46 % Equation resolutions : 0
% 15.61/7.46 % Disequality decompositions : 0
% 15.61/7.46 % Total rewrite steps : 98
% 15.61/7.46 % ...of those cached : 97
% 15.61/7.46 % Propositional unsat checks : 1
% 15.61/7.46 % Propositional check models : 0
% 15.61/7.46 % Propositional check unsatisfiable : 1
% 15.61/7.46 % Propositional clauses : 66081
% 15.61/7.46 % Propositional clauses after purity: 65545
% 15.61/7.46 % Propositional unsat core size : 259
% 15.61/7.46 % Propositional preprocessing time : 0.000
% 15.61/7.46 % Propositional encoding time : 0.033
% 15.61/7.46 % Propositional solver time : 0.094
% 15.61/7.46 % Success case prop preproc time : 0.000
% 15.61/7.46 % Success case prop encoding time : 0.033
% 15.61/7.46 % Success case prop solver time : 0.094
% 15.61/7.46 % Current number of processed clauses : 3811
% 15.61/7.46 % Positive orientable unit clauses : 1
% 15.61/7.46 % Positive unorientable unit clauses: 0
% 15.61/7.46 % Negative unit clauses : 0
% 15.61/7.46 % Non-unit-clauses : 3810
% 15.61/7.46 % Current number of unprocessed clauses: 62270
% 15.61/7.46 % ...number of literals in the above : 432911
% 15.61/7.46 % Current number of archived formulas : 0
% 15.61/7.46 % Current number of archived clauses : 1151
% 15.61/7.46 % Clause-clause subsumption calls (NU) : 5062468
% 15.61/7.46 % Rec. Clause-clause subsumption calls : 248640
% 15.61/7.46 % Non-unit clause-clause subsumptions : 4154
% 15.61/7.46 % Unit Clause-clause subsumption calls : 14
% 15.61/7.46 % Rewrite failures with RHS unbound : 0
% 15.61/7.46 % BW rewrite match attempts : 1
% 15.61/7.46 % BW rewrite match successes : 1
% 15.61/7.46 % Condensation attempts : 7373
% 15.61/7.46 % Condensation successes : 0
% 15.61/7.46 % Termbank termtop insertions : 764969
% 15.61/7.46 % Search garbage collected termcells : 488
% 15.61/7.46
% 15.61/7.46 % -------------------------------------------------
% 15.61/7.46 % User time : 1.931 s
% 15.61/7.46 % System time : 0.066 s
% 15.61/7.46 % Total time : 1.997 s
% 15.61/7.46 % Maximum resident set size: 4048 pages
% 15.61/7.46
% 15.61/7.46 % -------------------------------------------------
% 15.61/7.46 % User time : 9.621 s
% 15.61/7.46 % System time : 0.264 s
% 15.61/7.46 % Total time : 9.885 s
% 15.61/7.46 % Maximum resident set size: 4864 pages
% 15.61/7.46 % E exiting
%------------------------------------------------------------------------------