%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN487-1 : 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 : n026.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 03:25:05 PM UTC 2026
% Result : Unsatisfiable 10.95s 17.41s
% Output : CNFRefutation 10.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 206
% Syntax : Number of formulae : 1060 ( 2 unt; 0 def)
% Number of atoms : 4096 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 4771 (1735 ~;2992 |; 0 &)
% ( 44 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 82 ( 81 usr; 78 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 388 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause10,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(clause14,negated_conjecture,
( ~ hskp18
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
cnf(clause40,negated_conjecture,
( hskp18
| hskp22
| hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause154,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp20
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
cnf(clause146,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp12
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
cnf(clause171,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
cnf(clause103,negated_conjecture,
( ~ hskp20
| ~ c1_1(a2323) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
cnf(clause66,negated_conjecture,
( ~ hskp20
| c2_1(a2323) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(clause67,negated_conjecture,
( ~ hskp20
| c3_1(a2323) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause72,negated_conjecture,
( ~ hskp14
| c2_1(a2302) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause73,negated_conjecture,
( ~ hskp14
| c3_1(a2302) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause115,negated_conjecture,
( ~ hskp14
| ~ c0_1(a2302) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
cnf(clause121,negated_conjecture,
( ~ hskp11
| ~ c2_1(a2294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
cnf(clause76,negated_conjecture,
( ~ hskp11
| c0_1(a2294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(clause120,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause83,negated_conjecture,
( ~ hskp6
| c1_1(a2285) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
cnf(clause82,negated_conjecture,
( ~ hskp6
| c0_1(a2285) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause129,negated_conjecture,
( ~ hskp6
| ~ c3_1(a2285) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
cnf(clause87,negated_conjecture,
( ~ hskp2
| c0_1(a2279) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
cnf(clause136,negated_conjecture,
( ~ hskp2
| ~ c2_1(a2279) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
cnf(clause137,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2279) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
cnf(clause174,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp23
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(clause89,negated_conjecture,
( ~ hskp1
| c1_1(a2277) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause88,negated_conjecture,
( ~ hskp1
| c0_1(a2277) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(clause138,negated_conjecture,
( ~ hskp1
| ~ c2_1(a2277) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
cnf(clause98,negated_conjecture,
( ~ hskp23
| ~ c2_1(a2327) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause63,negated_conjecture,
( ~ hskp23
| c3_1(a2327) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause97,negated_conjecture,
( ~ hskp23
| ~ c0_1(a2327) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
cnf(clause47,negated_conjecture,
( ~ hskp30
| c1_1(a2315) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause48,negated_conjecture,
( ~ hskp30
| c2_1(a2315) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause49,negated_conjecture,
( ~ hskp30
| c3_1(a2315) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause107,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2308) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause69,negated_conjecture,
( ~ hskp18
| c3_1(a2308) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
cnf(clause95,negated_conjecture,
( ~ hskp25
| ~ c2_1(a2342) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(clause59,negated_conjecture,
( ~ hskp25
| c0_1(a2342) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(clause60,negated_conjecture,
( ~ hskp25
| c3_1(a2342) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
cnf(clause96,negated_conjecture,
( ~ hskp24
| ~ c1_1(a2337) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause61,negated_conjecture,
( ~ hskp24
| c0_1(a2337) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
cnf(clause62,negated_conjecture,
( ~ hskp24
| c3_1(a2337) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause64,negated_conjecture,
( ~ hskp22
| c2_1(a2325) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause99,negated_conjecture,
( ~ hskp22
| ~ c0_1(a2325) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause100,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2325) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(clause203,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
cnf(clause36,negated_conjecture,
( hskp20
| hskp14
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(clause189,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause172,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
cnf(clause56,negated_conjecture,
( ~ hskp27
| c1_1(a2367) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
cnf(clause57,negated_conjecture,
( ~ hskp27
| c2_1(a2367) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
cnf(clause92,negated_conjecture,
( ~ hskp27
| ~ c0_1(a2367) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
cnf(clause75,negated_conjecture,
( ~ hskp12
| c0_1(a2295) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause119,negated_conjecture,
( ~ hskp12
| ~ c3_1(a2295) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause118,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2295) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause37,negated_conjecture,
( hskp30
| hskp11
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(clause159,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp13
| hskp12
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
cnf(clause51,negated_conjecture,
( ~ hskp29
| c1_1(a2309) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause50,negated_conjecture,
( ~ hskp29
| c0_1(a2309) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause52,negated_conjecture,
( ~ hskp29
| c2_1(a2309) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
cnf(clause135,negated_conjecture,
( ~ hskp3
| ~ c2_1(a2280) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
cnf(clause86,negated_conjecture,
( ~ hskp3
| c3_1(a2280) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
cnf(clause162,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp4
| hskp1
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
cnf(clause74,negated_conjecture,
( ~ hskp13
| c2_1(a2299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause117,negated_conjecture,
( ~ hskp13
| ~ c3_1(a2299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause116,negated_conjecture,
( ~ hskp13
| ~ c1_1(a2299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
cnf(clause42,negated_conjecture,
( hskp13
| hskp22
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause163,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp21
| hskp24
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
cnf(clause33,negated_conjecture,
( hskp3
| hskp27
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause181,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp23
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
cnf(clause175,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp9
| hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
cnf(clause168,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp2
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
cnf(clause161,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp19
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
cnf(clause131,negated_conjecture,
( ~ hskp5
| ~ c1_1(a2284) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
cnf(clause130,negated_conjecture,
( ~ hskp5
| ~ c0_1(a2284) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
cnf(clause91,negated_conjecture,
( ~ hskp0
| c3_1(a2276) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
cnf(clause139,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2276) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
cnf(clause180,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
cnf(clause106,negated_conjecture,
( ~ hskp18
| ~ c1_1(a2308) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(clause186,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp30
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
cnf(clause94,negated_conjecture,
( ~ hskp26
| ~ c1_1(a2345) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
cnf(clause93,negated_conjecture,
( ~ hskp26
| ~ c0_1(a2345) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
cnf(clause170,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp19
| hskp7
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
cnf(clause126,negated_conjecture,
( ~ hskp8
| ~ c1_1(a2287) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(clause79,negated_conjecture,
( ~ hskp8
| c0_1(a2287) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause80,negated_conjecture,
( ~ hskp8
| c2_1(a2287) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause90,negated_conjecture,
( ~ hskp0
| c1_1(a2276) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
cnf(clause157,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp14
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
cnf(clause54,negated_conjecture,
( ~ hskp28
| c1_1(a2278) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
cnf(clause53,negated_conjecture,
( ~ hskp28
| c0_1(a2278) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
cnf(clause55,negated_conjecture,
( ~ hskp28
| c3_1(a2278) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
cnf(clause188,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp23
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
cnf(clause164,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp4
| hskp3
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
cnf(clause84,negated_conjecture,
( ~ hskp4
| c2_1(a2282) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
cnf(clause133,negated_conjecture,
( ~ hskp4
| ~ c0_1(a2282) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause65,negated_conjecture,
( ~ hskp21
| c1_1(a2324) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
cnf(clause102,negated_conjecture,
( ~ hskp21
| ~ c3_1(a2324) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(clause124,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2291) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
cnf(clause123,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2291) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
cnf(clause125,negated_conjecture,
( ~ hskp9
| ~ c2_1(a2291) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause158,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| hskp29
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
cnf(clause167,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp16
| hskp21
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause81,negated_conjecture,
( ~ hskp7
| c1_1(a2286) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause127,negated_conjecture,
( ~ hskp7
| ~ c0_1(a2286) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
cnf(clause128,negated_conjecture,
( ~ hskp7
| ~ c2_1(a2286) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
cnf(clause34,negated_conjecture,
( hskp13
| hskp0
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause202,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c3_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
cnf(clause190,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp25
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
cnf(clause200,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
cnf(clause108,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2306) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause109,negated_conjecture,
( ~ hskp17
| ~ c2_1(a2306) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause110,negated_conjecture,
( ~ hskp17
| ~ c3_1(a2306) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
cnf(clause112,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2304) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(clause111,negated_conjecture,
( ~ hskp16
| ~ c0_1(a2304) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
cnf(clause113,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2304) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause151,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp14
| hskp1
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
cnf(clause165,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp12
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
cnf(clause134,negated_conjecture,
( ~ hskp4
| ~ c3_1(a2282) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(clause77,negated_conjecture,
( ~ hskp10
| c0_1(a2293) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(clause122,negated_conjecture,
( ~ hskp10
| ~ c3_1(a2293) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(clause78,negated_conjecture,
( ~ hskp10
| c2_1(a2293) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause142,negated_conjecture,
( ~ ndr1_0
| hskp9
| hskp28
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
cnf(clause145,negated_conjecture,
( ~ ndr1_0
| hskp22
| hskp21
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
cnf(clause143,negated_conjecture,
( ~ ndr1_0
| hskp10
| hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
cnf(clause140,negated_conjecture,
( ~ ndr1_0
| hskp3
| hskp2
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause149,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp8
| hskp28
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
cnf(clause153,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp17
| hskp14
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
cnf(clause152,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp16
| hskp15
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
cnf(clause148,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp7
| hskp8
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
cnf(clause147,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp7
| hskp6
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
cnf(clause160,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp19
| hskp30
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
cnf(clause68,negated_conjecture,
( ~ hskp19
| c1_1(a2316) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
cnf(clause105,negated_conjecture,
( ~ hskp19
| ~ c3_1(a2316) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause104,negated_conjecture,
( ~ hskp19
| ~ c2_1(a2316) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
cnf(clause85,negated_conjecture,
( ~ hskp3
| c1_1(a2280) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
cnf(clause176,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
cnf(clause58,negated_conjecture,
( ~ hskp26
| c3_1(a2345) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
cnf(clause199,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
cnf(clause201,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).
cnf(clause187,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp19
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
cnf(clause35,negated_conjecture,
( hskp16
| hskp26
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
cnf(clause45,negated_conjecture,
( ~ hskp31
| c2_1(a2387) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause44,negated_conjecture,
( ~ hskp31
| c0_1(a2387) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause46,negated_conjecture,
( ~ hskp31
| c3_1(a2387) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause70,negated_conjecture,
( ~ hskp15
| c1_1(a2303) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
cnf(clause71,negated_conjecture,
( ~ hskp15
| c2_1(a2303) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause114,negated_conjecture,
( ~ hskp15
| ~ c3_1(a2303) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
cnf(clause43,negated_conjecture,
( hskp22
| hskp14
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause198,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
cnf(clause197,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp18
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
cnf(clause194,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp0
| c3_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
cnf(clause192,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(clause191,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp0
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause193,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp1
| c3_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
cnf(clause195,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
cnf(clause196,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
cnf(clause182,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp1
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
cnf(clause185,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp8
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause184,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp17
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
cnf(clause179,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp28
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(clause177,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
cnf(clause178,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
cnf(clause39,negated_conjecture,
( hskp14
| hskp7
| hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause101,negated_conjecture,
( ~ hskp21
| ~ c0_1(a2324) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause1]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause10]) ).
cnf(c_0_164,negated_conjecture,
( ~ hskp18
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause14]) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
c_0_162 ).
cnf(c_0_166,negated_conjecture,
( hskp18
| hskp22
| hskp31 ),
clause40 ).
cnf(c_0_167,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
c_0_163 ).
cnf(c_0_168,negated_conjecture,
( ~ hskp18
| ndr1_0 ),
c_0_164 ).
cnf(c_0_169,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp20
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause154]) ).
cnf(c_0_170,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp12
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause146]) ).
cnf(c_0_171,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| hskp2 ),
inference(fof_simplification,[status(thm)],[clause171]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp20
| ~ c1_1(a2323) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
fof(c_0_173,plain,
( ~ epred40_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_174,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_168]) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp20
| c2_1(a2323) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp20
| c3_1(a2323) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_177,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp20
| c0_1(X1) ),
c_0_169 ).
cnf(c_0_178,negated_conjecture,
( ~ hskp14
| c2_1(a2302) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_179,negated_conjecture,
( ~ hskp14
| c3_1(a2302) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp14
| ~ c0_1(a2302) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_181,negated_conjecture,
( ~ hskp11
| ~ c2_1(a2294) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
fof(c_0_182,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_183,negated_conjecture,
( ~ hskp11
| c0_1(a2294) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_184,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp12
| c3_1(X1)
| c1_1(X1) ),
c_0_170 ).
cnf(c_0_185,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2294) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_186,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| hskp2 ),
c_0_171 ).
cnf(c_0_187,negated_conjecture,
( ~ hskp6
| c1_1(a2285) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp6
| c0_1(a2285) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
fof(c_0_189,plain,
( ~ epred10_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| hskp11 ) ),
introduced(definition) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp6
| ~ c3_1(a2285) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
cnf(c_0_191,negated_conjecture,
( ~ hskp2
| c0_1(a2279) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp2
| ~ c2_1(a2279) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_193,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2279) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
cnf(c_0_194,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp23
| hskp25 ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_195,negated_conjecture,
( ~ hskp20
| ~ c1_1(a2323) ),
c_0_172 ).
cnf(c_0_196,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_173]),c_0_174])]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp20
| c2_1(a2323) ),
c_0_175 ).
cnf(c_0_198,negated_conjecture,
( ~ hskp20
| c3_1(a2323) ),
c_0_176 ).
cnf(c_0_199,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp20
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_174])]) ).
cnf(c_0_200,negated_conjecture,
( ~ hskp14
| c2_1(a2302) ),
c_0_178 ).
cnf(c_0_201,negated_conjecture,
( ~ hskp14
| c3_1(a2302) ),
c_0_179 ).
cnf(c_0_202,negated_conjecture,
( ~ hskp14
| ~ c0_1(a2302) ),
c_0_180 ).
fof(c_0_203,plain,
( ~ epred27_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp1
| c1_1(a2277) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
cnf(c_0_205,negated_conjecture,
( ~ hskp1
| c0_1(a2277) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
fof(c_0_206,plain,
( ~ epred20_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| hskp14 ) ),
introduced(definition) ).
cnf(c_0_207,negated_conjecture,
( ~ hskp1
| ~ c2_1(a2277) ),
inference(fof_simplification,[status(thm)],[clause138]) ).
fof(c_0_208,plain,
( ~ epred8_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| hskp23 ) ),
introduced(definition) ).
cnf(c_0_209,negated_conjecture,
( ~ hskp11
| ~ c2_1(a2294) ),
c_0_181 ).
cnf(c_0_210,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred43_0 ),
inference(split_equiv,[status(thm)],[c_0_182]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp11
| c0_1(a2294) ),
c_0_183 ).
cnf(c_0_212,negated_conjecture,
( ~ c0_1(X1)
| hskp12
| c3_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_174])]) ).
cnf(c_0_213,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2294) ),
c_0_185 ).
cnf(c_0_214,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp18
| hskp2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_174])]) ).
cnf(c_0_215,negated_conjecture,
( ~ hskp6
| c1_1(a2285) ),
c_0_187 ).
cnf(c_0_216,negated_conjecture,
( ~ hskp6
| c0_1(a2285) ),
c_0_188 ).
cnf(c_0_217,negated_conjecture,
( ~ c0_1(X1)
| hskp11
| c2_1(X1)
| c3_1(X1)
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_189]),c_0_174])]) ).
cnf(c_0_218,negated_conjecture,
( ~ hskp6
| ~ c3_1(a2285) ),
c_0_190 ).
cnf(c_0_219,negated_conjecture,
( ~ hskp2
| c0_1(a2279) ),
c_0_191 ).
cnf(c_0_220,negated_conjecture,
( ~ hskp2
| ~ c2_1(a2279) ),
c_0_192 ).
cnf(c_0_221,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2279) ),
c_0_193 ).
cnf(c_0_222,negated_conjecture,
( ~ hskp23
| ~ c2_1(a2327) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
fof(c_0_223,plain,
( ~ epred39_0
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_224,negated_conjecture,
( ~ hskp23
| c3_1(a2327) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_225,negated_conjecture,
( ~ hskp23
| ~ c0_1(a2327) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
cnf(c_0_226,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp23
| hskp25 ),
c_0_194 ).
cnf(c_0_227,negated_conjecture,
( ~ hskp30
| c1_1(a2315) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_228,negated_conjecture,
( ~ hskp30
| c2_1(a2315) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_229,negated_conjecture,
( ~ hskp30
| c3_1(a2315) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
fof(c_0_230,plain,
( ~ epred9_0
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_231,plain,
( ~ epred21_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_232,negated_conjecture,
( ~ hskp20
| epred40_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]),c_0_198]) ).
cnf(c_0_233,negated_conjecture,
( ~ hskp14
| hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_202]) ).
cnf(c_0_234,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred27_0 ),
inference(split_equiv,[status(thm)],[c_0_203]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp1
| c1_1(a2277) ),
c_0_204 ).
cnf(c_0_236,negated_conjecture,
( ~ hskp1
| c0_1(a2277) ),
c_0_205 ).
cnf(c_0_237,negated_conjecture,
( ~ c0_1(X1)
| hskp14
| c2_1(X1)
| c3_1(X1)
| epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_174])]) ).
cnf(c_0_238,negated_conjecture,
( ~ hskp1
| ~ c2_1(a2277) ),
c_0_207 ).
cnf(c_0_239,negated_conjecture,
( ~ c0_1(X1)
| hskp23
| c3_1(X1)
| c1_1(X1)
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_208]),c_0_174])]) ).
cnf(c_0_240,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2308) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
cnf(c_0_241,negated_conjecture,
( ~ hskp18
| c3_1(a2308) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp11
| ~ c3_1(a2294)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp11
| hskp12
| c3_1(a2294) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_211]),c_0_213]) ).
cnf(c_0_244,negated_conjecture,
( ~ hskp6
| ~ c2_1(a2285)
| hskp18
| hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp6
| hskp11
| c2_1(a2285)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_216]),c_0_218]) ).
cnf(c_0_246,negated_conjecture,
( ~ hskp2
| hskp11
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_219]),c_0_220]),c_0_221]) ).
cnf(c_0_247,negated_conjecture,
( ~ hskp25
| ~ c2_1(a2342) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp25
| c0_1(a2342) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp25
| c3_1(a2342) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_250,negated_conjecture,
( ~ hskp23
| ~ c2_1(a2327) ),
c_0_222 ).
cnf(c_0_251,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred39_0 ),
inference(split_equiv,[status(thm)],[c_0_223]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp23
| c3_1(a2327) ),
c_0_224 ).
cnf(c_0_253,negated_conjecture,
( ~ hskp23
| ~ c0_1(a2327) ),
c_0_225 ).
cnf(c_0_254,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp25
| hskp23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_174])]) ).
cnf(c_0_255,negated_conjecture,
( ~ hskp30
| c1_1(a2315) ),
c_0_227 ).
cnf(c_0_256,negated_conjecture,
( ~ hskp30
| c2_1(a2315) ),
c_0_228 ).
cnf(c_0_257,negated_conjecture,
( ~ hskp30
| c3_1(a2315) ),
c_0_229 ).
cnf(c_0_258,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred9_0 ),
inference(split_equiv,[status(thm)],[c_0_230]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp24
| ~ c1_1(a2337) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
fof(c_0_260,plain,
( ~ epred45_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp24
| c0_1(a2337) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_262,negated_conjecture,
( ~ hskp24
| c3_1(a2337) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp22
| c2_1(a2325) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp22
| ~ c0_1(a2325) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
fof(c_0_265,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| hskp30 ) ),
introduced(definition) ).
cnf(c_0_266,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2325) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_267,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause203]) ).
cnf(c_0_268,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_231]) ).
cnf(c_0_269,negated_conjecture,
( hskp20
| hskp14
| hskp1 ),
clause36 ).
cnf(c_0_270,negated_conjecture,
( ~ hskp14
| epred40_0 ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_271,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_272,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2277)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp1
| hskp14
| c3_1(a2277)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_236]),c_0_238]) ).
cnf(c_0_274,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| hskp13 ),
inference(fof_simplification,[status(thm)],[clause172]) ).
fof(c_0_275,plain,
( ~ epred19_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_276,negated_conjecture,
( ~ hskp27
| c1_1(a2367) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_277,negated_conjecture,
( ~ hskp27
| c2_1(a2367) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_278,negated_conjecture,
( ~ hskp27
| ~ c0_1(a2367) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
cnf(c_0_279,negated_conjecture,
( ~ hskp11
| hskp23
| c3_1(a2294)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_211]),c_0_213]) ).
cnf(c_0_280,negated_conjecture,
( ~ hskp12
| c0_1(a2295) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_281,negated_conjecture,
( ~ hskp12
| ~ c3_1(a2295) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_282,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2295) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_283,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2308) ),
c_0_240 ).
cnf(c_0_284,negated_conjecture,
( ~ hskp18
| c3_1(a2308) ),
c_0_241 ).
cnf(c_0_285,negated_conjecture,
( ~ hskp11
| hskp12
| epred43_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp6
| hskp18
| hskp11
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).
cnf(c_0_287,negated_conjecture,
( hskp30
| hskp11
| hskp6 ),
clause37 ).
cnf(c_0_288,negated_conjecture,
( ~ hskp25
| ~ c2_1(a2342) ),
c_0_247 ).
cnf(c_0_289,negated_conjecture,
( ~ hskp25
| c0_1(a2342) ),
c_0_248 ).
cnf(c_0_290,negated_conjecture,
( ~ hskp25
| c3_1(a2342) ),
c_0_249 ).
cnf(c_0_291,negated_conjecture,
( ~ hskp23
| epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]),c_0_253]) ).
cnf(c_0_292,negated_conjecture,
( ~ hskp30
| hskp25
| hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_257]) ).
cnf(c_0_293,negated_conjecture,
( ~ hskp11
| c3_1(a2294)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_258]),c_0_211]) ).
fof(c_0_294,plain,
( ~ epred41_0
<=> ! [X3] :
( ~ c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_295,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_296,negated_conjecture,
( ~ hskp24
| ~ c1_1(a2337) ),
c_0_259 ).
cnf(c_0_297,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_260]),c_0_174])]) ).
cnf(c_0_298,negated_conjecture,
( ~ hskp24
| c0_1(a2337) ),
c_0_261 ).
cnf(c_0_299,negated_conjecture,
( ~ hskp24
| c3_1(a2337) ),
c_0_262 ).
cnf(c_0_300,negated_conjecture,
( ~ hskp22
| c2_1(a2325) ),
c_0_263 ).
cnf(c_0_301,negated_conjecture,
( ~ hskp22
| ~ c0_1(a2325) ),
c_0_264 ).
cnf(c_0_302,negated_conjecture,
( ~ c2_1(X1)
| hskp30
| c3_1(X1)
| c1_1(X1)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_265]),c_0_174])]) ).
cnf(c_0_303,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2325) ),
c_0_266 ).
cnf(c_0_304,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c2_1(X2) ),
c_0_267 ).
cnf(c_0_305,negated_conjecture,
( ~ hskp1
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_235]),c_0_236]),c_0_238]) ).
cnf(c_0_306,negated_conjecture,
( hskp1
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_269]),c_0_270]) ).
cnf(c_0_307,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
c_0_271 ).
cnf(c_0_308,negated_conjecture,
( ~ hskp1
| hskp14
| epred20_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_309,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp13
| hskp12
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause159]) ).
cnf(c_0_310,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| hskp13 ),
c_0_274 ).
cnf(c_0_311,negated_conjecture,
( ~ hskp29
| c1_1(a2309) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_312,negated_conjecture,
( ~ hskp29
| c0_1(a2309) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_313,negated_conjecture,
( ~ hskp29
| c2_1(a2309) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
cnf(c_0_314,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred19_0 ),
inference(split_equiv,[status(thm)],[c_0_275]) ).
cnf(c_0_315,negated_conjecture,
( ~ hskp27
| c1_1(a2367) ),
c_0_276 ).
cnf(c_0_316,negated_conjecture,
( ~ hskp27
| c2_1(a2367) ),
c_0_277 ).
cnf(c_0_317,negated_conjecture,
( ~ hskp27
| ~ c0_1(a2367) ),
c_0_278 ).
cnf(c_0_318,negated_conjecture,
( ~ hskp3
| ~ c2_1(a2280) ),
inference(fof_simplification,[status(thm)],[clause135]) ).
cnf(c_0_319,negated_conjecture,
( ~ hskp3
| c3_1(a2280) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
fof(c_0_320,plain,
( ~ epred16_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_321,negated_conjecture,
( ~ hskp11
| hskp23
| epred8_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_279]) ).
fof(c_0_322,plain,
( ~ epred11_0
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp12
| c0_1(a2295) ),
c_0_280 ).
cnf(c_0_324,negated_conjecture,
( ~ hskp12
| ~ c3_1(a2295) ),
c_0_281 ).
cnf(c_0_325,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2295) ),
c_0_282 ).
cnf(c_0_326,negated_conjecture,
( ~ hskp18
| ~ c0_1(a2308)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_210]),c_0_284]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp18
| c0_1(a2308)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_251]),c_0_284]) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp6
| hskp18
| hskp12
| epred10_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_329,negated_conjecture,
( hskp30
| hskp12
| hskp6
| epred43_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_287]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp25
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_210]),c_0_289]),c_0_290]) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp30
| hskp25
| epred39_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp11
| epred9_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_293]) ).
cnf(c_0_333,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp4
| hskp1
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause162]) ).
cnf(c_0_334,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred41_0 ),
inference(split_equiv,[status(thm)],[c_0_294]) ).
cnf(c_0_335,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_295]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp13
| c2_1(a2299) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_337,negated_conjecture,
( ~ hskp13
| ~ c3_1(a2299) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_338,negated_conjecture,
( ~ hskp13
| ~ c1_1(a2299) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp24
| epred45_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]),c_0_299]) ).
cnf(c_0_340,negated_conjecture,
( hskp13
| hskp22
| hskp24 ),
clause42 ).
cnf(c_0_341,negated_conjecture,
( ~ hskp22
| ~ c3_1(a2325)
| hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_300]),c_0_301]) ).
cnf(c_0_342,negated_conjecture,
( ~ hskp22
| hskp30
| c3_1(a2325)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_300]),c_0_303]) ).
cnf(c_0_343,negated_conjecture,
( ~ epred21_0
| ~ epred27_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_304,c_0_260]),c_0_231]),c_0_203]) ).
cnf(c_0_344,negated_conjecture,
( epred21_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_345,negated_conjecture,
( ~ epred20_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_307,c_0_206]),c_0_231]) ).
cnf(c_0_346,negated_conjecture,
( epred20_0
| epred27_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_306]),c_0_270]) ).
cnf(c_0_347,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp21
| hskp24
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause163]) ).
fof(c_0_348,plain,
( ~ epred15_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| hskp23 ) ),
introduced(definition) ).
cnf(c_0_349,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp13
| hskp12
| c0_1(X1) ),
c_0_309 ).
cnf(c_0_350,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp18
| hskp13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_174])]) ).
cnf(c_0_351,negated_conjecture,
( ~ hskp29
| c1_1(a2309) ),
c_0_311 ).
cnf(c_0_352,negated_conjecture,
( ~ hskp29
| c0_1(a2309) ),
c_0_312 ).
cnf(c_0_353,negated_conjecture,
( ~ hskp29
| c2_1(a2309) ),
c_0_313 ).
cnf(c_0_354,negated_conjecture,
( ~ hskp27
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]),c_0_317]) ).
cnf(c_0_355,negated_conjecture,
( hskp3
| hskp27
| hskp29 ),
clause33 ).
cnf(c_0_356,negated_conjecture,
( ~ hskp3
| ~ c2_1(a2280) ),
c_0_318 ).
cnf(c_0_357,negated_conjecture,
( ~ hskp3
| c3_1(a2280) ),
c_0_319 ).
cnf(c_0_358,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_320]) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp11
| epred8_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_321]) ).
fof(c_0_360,plain,
( ~ epred24_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_361,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred11_0 ),
inference(split_equiv,[status(thm)],[c_0_322]) ).
cnf(c_0_362,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp23
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_363,negated_conjecture,
( ~ hskp12
| hskp23
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_323]),c_0_324]),c_0_325]) ).
cnf(c_0_364,negated_conjecture,
( ~ hskp18
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_365,negated_conjecture,
( hskp30
| hskp18
| hskp12
| epred10_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_366,negated_conjecture,
( ~ hskp30
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_367,negated_conjecture,
( ~ hskp6
| hskp18
| epred9_0
| epred10_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_286]) ).
cnf(c_0_368,negated_conjecture,
( hskp30
| hskp6
| epred9_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_287]) ).
fof(c_0_369,plain,
( ~ epred44_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_370,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp4
| hskp1
| c1_1(X1) ),
c_0_333 ).
cnf(c_0_371,negated_conjecture,
( ~ hskp20
| ~ c0_1(a2323)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_297]),c_0_198]) ).
cnf(c_0_372,negated_conjecture,
( ~ hskp20
| c0_1(a2323)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_334]),c_0_197]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp30
| ~ c0_1(a2315)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_255]),c_0_256]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp30
| hskp20
| c0_1(a2315) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_256]),c_0_257]) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp13
| c2_1(a2299) ),
c_0_336 ).
cnf(c_0_376,negated_conjecture,
( ~ hskp13
| ~ c3_1(a2299) ),
c_0_337 ).
cnf(c_0_377,negated_conjecture,
( ~ hskp13
| ~ c1_1(a2299) ),
c_0_338 ).
cnf(c_0_378,negated_conjecture,
( ~ hskp22
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_334]),c_0_300]),c_0_301]) ).
cnf(c_0_379,negated_conjecture,
( hskp22
| hskp13
| epred45_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
fof(c_0_380,plain,
( ~ epred13_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp11
| ~ c3_1(a2294)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_297]),c_0_211]) ).
cnf(c_0_382,negated_conjecture,
( ~ hskp11
| hskp14
| c3_1(a2294)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_211]),c_0_209]) ).
fof(c_0_383,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp25 ) ),
introduced(definition) ).
cnf(c_0_384,negated_conjecture,
( ~ hskp22
| hskp30
| hskp20
| epred12_0 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_385,negated_conjecture,
( ~ epred27_0
| ~ epred45_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_386,negated_conjecture,
( epred27_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_344]) ).
cnf(c_0_387,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp21
| hskp24
| c1_1(X1) ),
c_0_347 ).
cnf(c_0_388,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp9
| hskp27 ),
inference(fof_simplification,[status(thm)],[clause175]) ).
cnf(c_0_389,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp2
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_390,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp19
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause161]) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp5
| ~ c1_1(a2284) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp5
| ~ c0_1(a2284) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
fof(c_0_393,plain,
( ~ epred6_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp28 ) ),
introduced(definition) ).
cnf(c_0_394,negated_conjecture,
( ~ c2_1(X1)
| hskp23
| c3_1(X1)
| c1_1(X1)
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_348]),c_0_174])]) ).
cnf(c_0_395,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp13
| hskp12
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_174])]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp0
| c3_1(a2276) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2276) ),
inference(fof_simplification,[status(thm)],[clause139]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp29
| hskp18
| hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_352]),c_0_353]) ).
cnf(c_0_399,negated_conjecture,
( hskp29
| hskp3
| epred19_0 ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_400,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2280)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_210]),c_0_357]) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp3
| c0_1(a2280)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_251]),c_0_357]) ).
cnf(c_0_402,negated_conjecture,
( ~ hskp6
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_215]),c_0_216]),c_0_218]) ).
cnf(c_0_403,negated_conjecture,
( hskp30
| hskp6
| epred8_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_359,c_0_287]) ).
cnf(c_0_404,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred24_0 ),
inference(split_equiv,[status(thm)],[c_0_360]) ).
cnf(c_0_405,negated_conjecture,
( ~ hskp27
| ~ c3_1(a2367)
| hskp25
| hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_315]),c_0_316]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp27
| c3_1(a2367)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_315]),c_0_317]) ).
cnf(c_0_407,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause180]) ).
cnf(c_0_408,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp23
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_362 ).
cnf(c_0_409,negated_conjecture,
( ~ hskp12
| epred8_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_363]) ).
cnf(c_0_410,negated_conjecture,
( hskp12
| epred10_0
| epred39_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_366]) ).
cnf(c_0_411,negated_conjecture,
( hskp30
| hskp18
| epred9_0
| epred10_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_412,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred44_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_369]),c_0_174])]) ).
cnf(c_0_413,negated_conjecture,
( ~ hskp18
| ~ c1_1(a2308) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
fof(c_0_414,plain,
( ~ epred4_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_415,negated_conjecture,
( ~ hskp30
| ~ c0_1(a2315)
| hskp18
| hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_255]),c_0_256]) ).
cnf(c_0_416,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp4
| hskp1
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_174])]) ).
cnf(c_0_417,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp30
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_418,negated_conjecture,
( ~ hskp20
| epred41_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_419,negated_conjecture,
( ~ hskp30
| hskp20
| epred30_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_420,negated_conjecture,
( ~ hskp13
| hskp30
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_375]),c_0_376]),c_0_377]) ).
cnf(c_0_421,negated_conjecture,
( hskp13
| epred41_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_422,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred13_0 ),
inference(split_equiv,[status(thm)],[c_0_380]) ).
cnf(c_0_423,negated_conjecture,
( ~ hskp6
| ~ c2_1(a2285)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_215]),c_0_216]) ).
cnf(c_0_424,negated_conjecture,
( ~ hskp6
| hskp14
| c2_1(a2285)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_216]),c_0_218]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp11
| hskp14
| epred20_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_426,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp25
| c3_1(X1)
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_383]),c_0_174])]) ).
cnf(c_0_427,negated_conjecture,
( ~ hskp22
| hskp30
| epred12_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_232,c_0_384]) ).
cnf(c_0_428,negated_conjecture,
( ~ epred45_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_385,c_0_386]) ).
fof(c_0_429,plain,
( ~ epred7_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_430,plain,
( ~ epred34_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp26
| ~ c1_1(a2345) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp26
| ~ c0_1(a2345) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_433,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp19
| hskp7
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause170]) ).
cnf(c_0_434,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp24
| hskp21
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_174])]) ).
cnf(c_0_435,negated_conjecture,
( ~ hskp8
| ~ c1_1(a2287) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
cnf(c_0_436,negated_conjecture,
( ~ hskp8
| c0_1(a2287) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_437,negated_conjecture,
( ~ hskp8
| c2_1(a2287) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
fof(c_0_438,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_439,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp9
| hskp27 ),
c_0_388 ).
cnf(c_0_440,negated_conjecture,
( ~ hskp0
| c1_1(a2276) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
cnf(c_0_441,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp2
| c3_1(X1) ),
c_0_389 ).
cnf(c_0_442,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp19
| c1_1(X1) ),
c_0_390 ).
cnf(c_0_443,negated_conjecture,
( ~ hskp5
| ~ c1_1(a2284) ),
c_0_391 ).
cnf(c_0_444,negated_conjecture,
( ~ hskp5
| ~ c0_1(a2284) ),
c_0_392 ).
cnf(c_0_445,negated_conjecture,
( hskp28
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_393]),c_0_174])]) ).
fof(c_0_446,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| hskp5 ) ),
introduced(definition) ).
cnf(c_0_447,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp14
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause157]) ).
cnf(c_0_448,negated_conjecture,
( ~ hskp13
| hskp23
| epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_375]),c_0_376]),c_0_377]) ).
cnf(c_0_449,negated_conjecture,
( ~ c3_1(X1)
| hskp13
| hskp12
| c0_1(X1)
| epred39_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_251]) ).
cnf(c_0_450,negated_conjecture,
( ~ hskp0
| c3_1(a2276) ),
c_0_396 ).
cnf(c_0_451,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2276) ),
c_0_397 ).
cnf(c_0_452,negated_conjecture,
( ~ hskp28
| c1_1(a2278) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_453,negated_conjecture,
( ~ hskp28
| c0_1(a2278) ),
inference(fof_simplification,[status(thm)],[clause53]) ).
cnf(c_0_454,negated_conjecture,
( ~ hskp28
| c3_1(a2278) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_455,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp23
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause188]) ).
cnf(c_0_456,negated_conjecture,
( hskp18
| hskp13
| hskp3
| epred19_0 ),
inference(spm,[status(thm)],[c_0_398,c_0_399]) ).
cnf(c_0_457,negated_conjecture,
( ~ hskp3
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_400,c_0_401]) ).
cnf(c_0_458,negated_conjecture,
( hskp30
| epred8_0
| epred16_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_459,negated_conjecture,
( hskp30
| epred9_0
| epred16_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_402,c_0_368]) ).
cnf(c_0_460,negated_conjecture,
( ~ hskp29
| ~ c3_1(a2309)
| hskp25
| hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_351]),c_0_353]) ).
cnf(c_0_461,negated_conjecture,
( ~ hskp29
| c3_1(a2309)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_353]),c_0_352]) ).
cnf(c_0_462,negated_conjecture,
( ~ hskp27
| hskp25
| hskp23
| epred11_0 ),
inference(spm,[status(thm)],[c_0_405,c_0_406]) ).
cnf(c_0_463,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_407 ).
cnf(c_0_464,negated_conjecture,
( ~ epred8_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_408,c_0_208]),c_0_230]) ).
cnf(c_0_465,negated_conjecture,
( epred8_0
| epred10_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_466,negated_conjecture,
( epred9_0
| epred10_0
| epred39_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_411]),c_0_366]) ).
cnf(c_0_467,negated_conjecture,
( ~ hskp27
| c3_1(a2367)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_315]),c_0_316]) ).
cnf(c_0_468,negated_conjecture,
( ~ hskp29
| c3_1(a2309)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_351]),c_0_353]) ).
cnf(c_0_469,negated_conjecture,
( ~ hskp18
| ~ c1_1(a2308) ),
c_0_413 ).
cnf(c_0_470,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_414]) ).
cnf(c_0_471,negated_conjecture,
( ~ hskp30
| hskp20
| hskp18
| hskp2 ),
inference(spm,[status(thm)],[c_0_415,c_0_374]) ).
cnf(c_0_472,negated_conjecture,
( ~ hskp2
| hskp14
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_219]),c_0_220]),c_0_221]) ).
cnf(c_0_473,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp4
| hskp3
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause164]) ).
cnf(c_0_474,negated_conjecture,
( ~ hskp4
| c2_1(a2282) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_475,negated_conjecture,
( ~ hskp4
| ~ c0_1(a2282) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_476,negated_conjecture,
( ~ hskp20
| hskp4
| hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_198]),c_0_197]),c_0_195]) ).
cnf(c_0_477,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp30
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_417 ).
cnf(c_0_478,negated_conjecture,
( ~ hskp30
| epred30_0
| epred41_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_418,c_0_419]) ).
cnf(c_0_479,negated_conjecture,
( hskp30
| epred12_0
| epred41_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_421]) ).
cnf(c_0_480,negated_conjecture,
( ~ hskp30
| c0_1(a2315)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_256]),c_0_257]) ).
cnf(c_0_481,negated_conjecture,
( ~ hskp6
| hskp14
| epred20_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_423,c_0_424]) ).
cnf(c_0_482,negated_conjecture,
( hskp30
| hskp14
| hskp6
| epred20_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_425,c_0_287]) ).
cnf(c_0_483,negated_conjecture,
( ~ hskp13
| ~ c0_1(a2299)
| hskp25
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_375]),c_0_376]) ).
cnf(c_0_484,negated_conjecture,
( ~ hskp13
| c0_1(a2299)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_334]),c_0_375]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp30
| epred30_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_232,c_0_419]) ).
cnf(c_0_486,negated_conjecture,
( hskp30
| epred12_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_379]),c_0_420]),c_0_428]) ).
cnf(c_0_487,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred7_0 ),
inference(split_equiv,[status(thm)],[c_0_429]) ).
cnf(c_0_488,negated_conjecture,
( ~ hskp20
| c0_1(a2323)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_197]),c_0_198]) ).
cnf(c_0_489,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred34_0 ),
inference(split_equiv,[status(thm)],[c_0_430]) ).
fof(c_0_490,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_491,negated_conjecture,
( ~ hskp26
| ~ c1_1(a2345) ),
c_0_431 ).
cnf(c_0_492,negated_conjecture,
( ~ hskp26
| ~ c0_1(a2345) ),
c_0_432 ).
cnf(c_0_493,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp19
| hskp7
| c3_1(X1) ),
c_0_433 ).
cnf(c_0_494,negated_conjecture,
( ~ hskp21
| c1_1(a2324) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_495,negated_conjecture,
( ~ hskp21
| ~ c3_1(a2324) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
fof(c_0_496,plain,
( ~ epred17_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| hskp19 ) ),
introduced(definition) ).
cnf(c_0_497,negated_conjecture,
( ~ hskp20
| hskp24
| hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_198]),c_0_197]),c_0_195]) ).
cnf(c_0_498,negated_conjecture,
( ~ hskp8
| ~ c1_1(a2287) ),
c_0_435 ).
cnf(c_0_499,negated_conjecture,
( ~ hskp8
| c0_1(a2287) ),
c_0_436 ).
cnf(c_0_500,negated_conjecture,
( ~ hskp8
| c2_1(a2287) ),
c_0_437 ).
fof(c_0_501,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_502,negated_conjecture,
( ~ c2_1(X1)
| hskp1
| c3_1(X1)
| c1_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_438]),c_0_174])]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2291) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
cnf(c_0_504,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2291) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
cnf(c_0_505,negated_conjecture,
( ~ hskp9
| ~ c2_1(a2291) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
cnf(c_0_506,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp27
| hskp9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_439,c_0_174])]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp0
| c1_1(a2276) ),
c_0_440 ).
cnf(c_0_508,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp4
| hskp2
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_441,c_0_174])]) ).
cnf(c_0_509,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp19
| hskp4
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_174])]) ).
cnf(c_0_510,negated_conjecture,
( ~ hskp5
| ~ c2_1(a2284)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_334]),c_0_444]) ).
cnf(c_0_511,negated_conjecture,
( ~ hskp5
| hskp28
| c2_1(a2284)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_445]),c_0_444]) ).
cnf(c_0_512,negated_conjecture,
( ~ c0_1(X1)
| hskp5
| c3_1(X1)
| c1_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_446]),c_0_174])]) ).
cnf(c_0_513,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| hskp29
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause158]) ).
cnf(c_0_514,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp16
| hskp21
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_515,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp14
| c0_1(X1) ),
c_0_447 ).
cnf(c_0_516,negated_conjecture,
( ~ hskp7
| c1_1(a2286) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp7
| ~ c0_1(a2286) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
fof(c_0_518,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| hskp17 ) ),
introduced(definition) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp7
| ~ c2_1(a2286) ),
inference(fof_simplification,[status(thm)],[clause128]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp13
| epred15_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_448]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp0
| hskp13
| hskp12
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_450]),c_0_451]) ).
cnf(c_0_522,negated_conjecture,
( ~ hskp28
| c1_1(a2278) ),
c_0_452 ).
cnf(c_0_523,negated_conjecture,
( ~ hskp28
| c0_1(a2278) ),
c_0_453 ).
cnf(c_0_524,negated_conjecture,
( ~ hskp28
| c3_1(a2278) ),
c_0_454 ).
cnf(c_0_525,negated_conjecture,
( hskp13
| hskp0
| hskp28 ),
clause34 ).
cnf(c_0_526,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c3_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause202]) ).
cnf(c_0_527,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp23
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_455 ).
cnf(c_0_528,negated_conjecture,
( hskp13
| epred19_0
| epred39_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_456]),c_0_457]) ).
cnf(c_0_529,negated_conjecture,
( epred8_0
| epred16_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_366,c_0_458]) ).
cnf(c_0_530,negated_conjecture,
( epred9_0
| epred16_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_366,c_0_459]) ).
cnf(c_0_531,negated_conjecture,
( ~ hskp29
| hskp25
| hskp23
| epred24_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_461]) ).
cnf(c_0_532,negated_conjecture,
( hskp29
| hskp25
| hskp23
| hskp3
| epred11_0 ),
inference(spm,[status(thm)],[c_0_462,c_0_355]) ).
cnf(c_0_533,negated_conjecture,
( ~ epred10_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_463,c_0_189]),c_0_322]) ).
cnf(c_0_534,negated_conjecture,
( epred10_0
| epred39_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_465]),c_0_466]) ).
cnf(c_0_535,negated_conjecture,
( ~ hskp27
| hskp25
| hskp23
| epred44_0 ),
inference(spm,[status(thm)],[c_0_405,c_0_467]) ).
cnf(c_0_536,negated_conjecture,
( ~ hskp29
| hskp25
| hskp23
| epred44_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_468]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp18
| ~ c0_1(a2308)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_297]),c_0_284]) ).
cnf(c_0_538,negated_conjecture,
( ~ hskp18
| c0_1(a2308)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_470]),c_0_283]) ).
cnf(c_0_539,negated_conjecture,
( ~ hskp30
| hskp18
| hskp2
| epred40_0 ),
inference(spm,[status(thm)],[c_0_232,c_0_471]) ).
cnf(c_0_540,negated_conjecture,
( ~ hskp6
| hskp18
| hskp14
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_424]),c_0_472]) ).
cnf(c_0_541,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp4
| hskp3
| c1_1(X1) ),
c_0_473 ).
cnf(c_0_542,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| epred19_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_314,c_0_334]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp4
| c2_1(a2282) ),
c_0_474 ).
cnf(c_0_544,negated_conjecture,
( ~ hskp4
| ~ c0_1(a2282) ),
c_0_475 ).
cnf(c_0_545,negated_conjecture,
( hskp14
| hskp4
| hskp1 ),
inference(spm,[status(thm)],[c_0_476,c_0_269]) ).
cnf(c_0_546,negated_conjecture,
( ~ epred12_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_477,c_0_265]),c_0_380]) ).
cnf(c_0_547,negated_conjecture,
( epred12_0
| epred30_0
| epred41_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_478,c_0_479]) ).
cnf(c_0_548,negated_conjecture,
( ~ hskp30
| epred13_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_480]) ).
cnf(c_0_549,negated_conjecture,
( hskp30
| hskp14
| epred20_0
| epred30_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp14
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_200]),c_0_201]),c_0_202]) ).
cnf(c_0_551,negated_conjecture,
( ~ hskp14
| epred41_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_418,c_0_233]) ).
cnf(c_0_552,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp25
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause190]) ).
cnf(c_0_553,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2277)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_210]),c_0_236]) ).
cnf(c_0_554,negated_conjecture,
( ~ hskp1
| c3_1(a2277)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_258]),c_0_236]) ).
cnf(c_0_555,negated_conjecture,
( ~ hskp13
| hskp25
| epred14_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_483,c_0_484]) ).
cnf(c_0_556,negated_conjecture,
( epred12_0
| epred30_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_485,c_0_486]) ).
cnf(c_0_557,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause200]) ).
cnf(c_0_558,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2277)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_235]),c_0_238]) ).
cnf(c_0_559,negated_conjecture,
( ~ hskp20
| epred13_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_488]) ).
cnf(c_0_560,negated_conjecture,
( ~ hskp20
| ~ c0_1(a2323)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_197]),c_0_198]) ).
cnf(c_0_561,negated_conjecture,
( ~ c3_1(X1)
| hskp0
| c0_1(X1)
| c1_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_490]),c_0_174])]) ).
cnf(c_0_562,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2306) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
fof(c_0_563,plain,
( ~ epred42_0
<=> ! [X3] :
( ~ ndr1_0
| c1_1(X3)
| c3_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_564,negated_conjecture,
( ~ hskp17
| ~ c2_1(a2306) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
cnf(c_0_565,negated_conjecture,
( ~ hskp17
| ~ c3_1(a2306) ),
inference(fof_simplification,[status(thm)],[clause110]) ).
fof(c_0_566,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_567,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2304) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
fof(c_0_568,plain,
( ~ epred38_0
<=> ! [X3] :
( ~ ndr1_0
| c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_569,negated_conjecture,
( ~ hskp16
| ~ c0_1(a2304) ),
inference(fof_simplification,[status(thm)],[clause111]) ).
cnf(c_0_570,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2304) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
cnf(c_0_571,negated_conjecture,
( ~ hskp26
| ~ c2_1(a2345)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_334]),c_0_492]) ).
cnf(c_0_572,negated_conjecture,
( ~ hskp26
| hskp28
| c2_1(a2345)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_445]),c_0_492]) ).
fof(c_0_573,plain,
( ~ epred2_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_574,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| hskp19
| hskp7
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_493,c_0_174])]) ).
cnf(c_0_575,negated_conjecture,
( ~ hskp21
| c1_1(a2324) ),
c_0_494 ).
cnf(c_0_576,negated_conjecture,
( ~ hskp21
| ~ c3_1(a2324) ),
c_0_495 ).
cnf(c_0_577,negated_conjecture,
( ~ c1_1(X1)
| hskp19
| c2_1(X1)
| c3_1(X1)
| epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_496]),c_0_174])]) ).
cnf(c_0_578,negated_conjecture,
( ~ hskp14
| hskp24
| hskp21 ),
inference(spm,[status(thm)],[c_0_497,c_0_233]) ).
cnf(c_0_579,negated_conjecture,
( ~ hskp8
| ~ c3_1(a2287)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_297]),c_0_499]) ).
cnf(c_0_580,negated_conjecture,
( ~ hskp8
| hskp23
| c3_1(a2287)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_500]),c_0_498]) ).
cnf(c_0_581,negated_conjecture,
( ~ c0_1(X1)
| hskp8
| c3_1(X1)
| c1_1(X1)
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_501]),c_0_174])]) ).
cnf(c_0_582,negated_conjecture,
( ~ hskp14
| hskp13
| hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_200]),c_0_201]),c_0_202]) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp8
| ~ c3_1(a2287)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_500]),c_0_499]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp8
| hskp23
| c3_1(a2287)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_499]),c_0_498]) ).
cnf(c_0_585,negated_conjecture,
( ~ hskp30
| ~ c0_1(a2315)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_256]),c_0_257]) ).
cnf(c_0_586,negated_conjecture,
( ~ hskp30
| c0_1(a2315)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_255]),c_0_256]) ).
cnf(c_0_587,negated_conjecture,
( ~ hskp13
| hskp1
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_375]),c_0_376]),c_0_377]) ).
cnf(c_0_588,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2291) ),
c_0_503 ).
cnf(c_0_589,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2291) ),
c_0_504 ).
cnf(c_0_590,negated_conjecture,
( ~ hskp9
| ~ c2_1(a2291) ),
c_0_505 ).
cnf(c_0_591,negated_conjecture,
( ~ hskp0
| ~ c2_1(a2276)
| hskp27
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_507]),c_0_450]) ).
cnf(c_0_592,negated_conjecture,
( ~ hskp0
| c2_1(a2276)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_507]),c_0_450]) ).
cnf(c_0_593,negated_conjecture,
( ~ hskp13
| ~ c0_1(a2299)
| hskp4
| hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_375]),c_0_376]) ).
cnf(c_0_594,negated_conjecture,
( ~ hskp24
| hskp19
| hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_299]),c_0_298]),c_0_296]) ).
cnf(c_0_595,negated_conjecture,
( ~ hskp5
| hskp28
| epred6_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_510,c_0_511]) ).
cnf(c_0_596,negated_conjecture,
( ~ hskp12
| hskp5
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_323]),c_0_324]),c_0_325]) ).
cnf(c_0_597,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp14
| hskp1
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause151]) ).
fof(c_0_598,plain,
( ~ epred25_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_599,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp12
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause165]) ).
cnf(c_0_600,negated_conjecture,
( ~ hskp4
| ~ c3_1(a2282) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
cnf(c_0_601,negated_conjecture,
( ~ hskp10
| c0_1(a2293) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_602,negated_conjecture,
( ~ hskp10
| ~ c3_1(a2293) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
cnf(c_0_603,negated_conjecture,
( ~ hskp10
| c2_1(a2293) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
fof(c_0_604,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X2)
| hskp18 ) ),
introduced(definition) ).
cnf(c_0_605,negated_conjecture,
( ~ ndr1_0
| hskp9
| hskp28
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause142]) ).
cnf(c_0_606,negated_conjecture,
( ~ ndr1_0
| hskp22
| hskp21
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause145]) ).
cnf(c_0_607,negated_conjecture,
( ~ ndr1_0
| hskp10
| hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
cnf(c_0_608,negated_conjecture,
( ~ ndr1_0
| hskp3
| hskp2
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause140]) ).
cnf(c_0_609,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp8
| hskp28
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause149]) ).
cnf(c_0_610,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp17
| hskp14
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause153]) ).
cnf(c_0_611,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp16
| hskp15
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause152]) ).
cnf(c_0_612,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp7
| hskp8
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause148]) ).
cnf(c_0_613,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp7
| hskp6
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause147]) ).
cnf(c_0_614,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp19
| hskp30
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause160]) ).
cnf(c_0_615,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| hskp29
| c0_1(X1) ),
c_0_513 ).
cnf(c_0_616,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp16
| hskp21
| c3_1(X1) ),
c_0_514 ).
cnf(c_0_617,negated_conjecture,
( ~ hskp19
| c1_1(a2316) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_618,negated_conjecture,
( ~ hskp19
| ~ c3_1(a2316) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
cnf(c_0_619,negated_conjecture,
( ~ hskp19
| ~ c2_1(a2316) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_620,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp14
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_515,c_0_174])]) ).
cnf(c_0_621,negated_conjecture,
( ~ hskp7
| c1_1(a2286) ),
c_0_516 ).
cnf(c_0_622,negated_conjecture,
( ~ hskp7
| ~ c0_1(a2286) ),
c_0_517 ).
cnf(c_0_623,negated_conjecture,
( ~ c1_1(X1)
| hskp17
| c2_1(X1)
| c3_1(X1)
| epred18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_518]),c_0_174])]) ).
cnf(c_0_624,negated_conjecture,
( ~ hskp7
| ~ c2_1(a2286) ),
c_0_519 ).
cnf(c_0_625,negated_conjecture,
( ~ hskp3
| c1_1(a2280) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_626,negated_conjecture,
( ~ hskp0
| hskp12
| epred15_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_520,c_0_521]) ).
cnf(c_0_627,negated_conjecture,
( ~ hskp28
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_522]),c_0_523]),c_0_524]) ).
cnf(c_0_628,negated_conjecture,
( hskp28
| hskp0
| epred15_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_520,c_0_525]) ).
cnf(c_0_629,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c3_1(X2)
| c3_1(X1) ),
c_0_526 ).
cnf(c_0_630,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_527,c_0_348]),c_0_320]) ).
cnf(c_0_631,negated_conjecture,
( epred15_0
| epred19_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_520,c_0_528]) ).
cnf(c_0_632,negated_conjecture,
( epred16_0
| epred39_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_529]),c_0_530]) ).
cnf(c_0_633,negated_conjecture,
( ~ hskp29
| hskp25
| epred24_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_531]) ).
cnf(c_0_634,negated_conjecture,
( hskp29
| hskp25
| hskp3
| epred11_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_532]) ).
cnf(c_0_635,negated_conjecture,
( ~ epred11_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_533,c_0_534]) ).
cnf(c_0_636,negated_conjecture,
( hskp25
| hskp23
| hskp3
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_355]),c_0_536]) ).
cnf(c_0_637,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_638,negated_conjecture,
( ~ hskp18
| epred4_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_537,c_0_538]) ).
cnf(c_0_639,negated_conjecture,
( ~ hskp30
| hskp18
| epred20_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_539]),c_0_270]) ).
cnf(c_0_640,negated_conjecture,
( hskp30
| hskp18
| hskp14
| epred20_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_540,c_0_482]) ).
fof(c_0_641,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| hskp26 ) ),
introduced(definition) ).
cnf(c_0_642,negated_conjecture,
( ~ hskp26
| c3_1(a2345) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_643,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp4
| hskp3
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_541,c_0_174])]) ).
cnf(c_0_644,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause199]) ).
cnf(c_0_645,negated_conjecture,
( ~ hskp4
| epred19_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_544]) ).
cnf(c_0_646,negated_conjecture,
( hskp4
| hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_233]),c_0_545]) ).
cnf(c_0_647,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause201]) ).
cnf(c_0_648,negated_conjecture,
( ~ epred13_0
| epred30_0
| epred41_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_546,c_0_547]) ).
cnf(c_0_649,negated_conjecture,
( epred13_0
| epred20_0
| epred30_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_549]),c_0_550]) ).
cnf(c_0_650,negated_conjecture,
( hskp1
| epred41_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_269]),c_0_551]) ).
cnf(c_0_651,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp25
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
c_0_552 ).
cnf(c_0_652,negated_conjecture,
( ~ hskp1
| epred9_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_553,c_0_554]) ).
cnf(c_0_653,negated_conjecture,
( ~ hskp13
| epred14_0
| epred41_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_330,c_0_555]) ).
cnf(c_0_654,negated_conjecture,
( ~ epred13_0
| epred30_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_546,c_0_556]) ).
cnf(c_0_655,negated_conjecture,
( ~ hskp1
| hskp14
| epred20_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_553,c_0_273]) ).
cnf(c_0_656,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp19
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause187]) ).
cnf(c_0_657,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c2_1(X1) ),
c_0_557 ).
cnf(c_0_658,negated_conjecture,
( ~ hskp1
| hskp14
| epred7_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_558,c_0_273]) ).
cnf(c_0_659,negated_conjecture,
( hskp1
| epred13_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_269]),c_0_550]) ).
cnf(c_0_660,negated_conjecture,
( ~ hskp20
| epred13_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_560,c_0_488]) ).
cnf(c_0_661,negated_conjecture,
( ~ hskp20
| hskp0
| c0_1(a2323)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_198]),c_0_195]) ).
cnf(c_0_662,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2306) ),
c_0_562 ).
cnf(c_0_663,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_563]),c_0_174])]) ).
cnf(c_0_664,negated_conjecture,
( ~ hskp17
| ~ c2_1(a2306) ),
c_0_564 ).
cnf(c_0_665,negated_conjecture,
( ~ hskp17
| ~ c3_1(a2306) ),
c_0_565 ).
cnf(c_0_666,negated_conjecture,
( ~ hskp30
| ~ c0_1(a2315)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_255]),c_0_257]) ).
cnf(c_0_667,negated_conjecture,
( hskp30
| hskp28
| hskp0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_525]) ).
cnf(c_0_668,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred32_0 ),
inference(split_equiv,[status(thm)],[c_0_566]) ).
cnf(c_0_669,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2304) ),
c_0_567 ).
cnf(c_0_670,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_568]),c_0_174])]) ).
cnf(c_0_671,negated_conjecture,
( ~ hskp16
| ~ c0_1(a2304) ),
c_0_569 ).
cnf(c_0_672,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2304) ),
c_0_570 ).
cnf(c_0_673,negated_conjecture,
( ~ hskp26
| hskp28
| epred6_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_571,c_0_572]) ).
cnf(c_0_674,negated_conjecture,
( hskp16
| hskp26
| hskp28 ),
clause35 ).
cnf(c_0_675,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_573]) ).
cnf(c_0_676,negated_conjecture,
( ~ hskp31
| c2_1(a2387) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_677,negated_conjecture,
( ~ hskp31
| c0_1(a2387) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_678,negated_conjecture,
( ~ hskp31
| c3_1(a2387) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_679,negated_conjecture,
( ~ hskp21
| ~ c2_1(a2324)
| hskp19
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_575]),c_0_576]) ).
cnf(c_0_680,negated_conjecture,
( ~ hskp21
| hskp19
| c2_1(a2324)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_575]),c_0_576]) ).
cnf(c_0_681,negated_conjecture,
( hskp24
| hskp21
| hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_269]),c_0_578]) ).
cnf(c_0_682,negated_conjecture,
( ~ hskp8
| hskp23
| epred15_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_580]) ).
cnf(c_0_683,negated_conjecture,
( ~ hskp12
| hskp8
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_323]),c_0_324]),c_0_325]) ).
cnf(c_0_684,negated_conjecture,
( ~ hskp14
| hskp12
| epred15_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_520,c_0_582]) ).
cnf(c_0_685,negated_conjecture,
( ~ hskp8
| hskp23
| epred15_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_583,c_0_580]) ).
cnf(c_0_686,negated_conjecture,
( ~ hskp8
| hskp23
| epred8_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_583,c_0_584]) ).
cnf(c_0_687,negated_conjecture,
( ~ hskp30
| epred19_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_585,c_0_586]) ).
cnf(c_0_688,negated_conjecture,
( ~ hskp14
| hskp30
| hskp12
| epred12_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_582]) ).
cnf(c_0_689,negated_conjecture,
( ~ hskp1
| c3_1(a2277)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_235]),c_0_236]) ).
cnf(c_0_690,negated_conjecture,
( ~ hskp14
| hskp12
| hskp1
| epred3_0 ),
inference(spm,[status(thm)],[c_0_587,c_0_582]) ).
cnf(c_0_691,negated_conjecture,
( ~ hskp27
| ~ c3_1(a2367)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_316]),c_0_317]) ).
cnf(c_0_692,negated_conjecture,
( ~ hskp27
| hskp19
| hskp7
| c3_1(a2367) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_315]),c_0_316]) ).
cnf(c_0_693,negated_conjecture,
( ~ hskp9
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_470]),c_0_589]),c_0_590]) ).
cnf(c_0_694,negated_conjecture,
( ~ hskp0
| hskp27
| hskp9
| epred7_0 ),
inference(spm,[status(thm)],[c_0_591,c_0_592]) ).
cnf(c_0_695,negated_conjecture,
( ~ hskp13
| hskp4
| hskp2
| epred41_0 ),
inference(spm,[status(thm)],[c_0_593,c_0_484]) ).
cnf(c_0_696,negated_conjecture,
( hskp22
| hskp19
| hskp13
| hskp4 ),
inference(spm,[status(thm)],[c_0_594,c_0_340]) ).
cnf(c_0_697,negated_conjecture,
( ~ hskp12
| hskp28
| epred1_0
| epred6_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_595,c_0_596]) ).
cnf(c_0_698,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp14
| hskp1
| c3_1(X1)
| c0_1(X1) ),
c_0_597 ).
cnf(c_0_699,negated_conjecture,
( ~ c2_1(X1)
| hskp1
| c0_1(X1)
| c1_1(X1)
| epred25_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_598]),c_0_174])]) ).
fof(c_0_700,plain,
( ~ epred35_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_701,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp12
| c2_1(X1) ),
c_0_599 ).
cnf(c_0_702,negated_conjecture,
( ~ hskp4
| ~ c3_1(a2282) ),
c_0_600 ).
fof(c_0_703,plain,
( ~ epred37_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_704,negated_conjecture,
( ~ hskp10
| c0_1(a2293) ),
c_0_601 ).
cnf(c_0_705,negated_conjecture,
( ~ hskp10
| ~ c3_1(a2293) ),
c_0_602 ).
cnf(c_0_706,negated_conjecture,
( ~ hskp10
| c2_1(a2293) ),
c_0_603 ).
cnf(c_0_707,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| hskp18
| c0_1(X1)
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_604]),c_0_174])]) ).
fof(c_0_708,plain,
( ~ epred33_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| hskp0 ) ),
introduced(definition) ).
fof(c_0_709,plain,
( ~ epred31_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_710,negated_conjecture,
( ~ ndr1_0
| hskp9
| hskp28
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
c_0_605 ).
cnf(c_0_711,negated_conjecture,
( ~ ndr1_0
| hskp22
| hskp21
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
c_0_606 ).
cnf(c_0_712,negated_conjecture,
( ~ ndr1_0
| hskp10
| hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
c_0_607 ).
cnf(c_0_713,negated_conjecture,
( ~ ndr1_0
| hskp3
| hskp2
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
c_0_608 ).
cnf(c_0_714,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp8
| hskp28
| c2_1(X1)
| c0_1(X1) ),
c_0_609 ).
fof(c_0_715,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_716,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp17
| hskp14
| c3_1(X1)
| c0_1(X1) ),
c_0_610 ).
cnf(c_0_717,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp16
| hskp15
| c3_1(X1)
| c0_1(X1) ),
c_0_611 ).
cnf(c_0_718,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp7
| hskp8
| c1_1(X1)
| c0_1(X1) ),
c_0_612 ).
cnf(c_0_719,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp7
| hskp6
| c1_1(X1)
| c0_1(X1) ),
c_0_613 ).
cnf(c_0_720,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp19
| hskp30
| c0_1(X1) ),
c_0_614 ).
cnf(c_0_721,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp29
| hskp8
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_615,c_0_174])]) ).
fof(c_0_722,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_723,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp21
| hskp16
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_616,c_0_174])]) ).
cnf(c_0_724,negated_conjecture,
( ~ hskp19
| c1_1(a2316) ),
c_0_617 ).
cnf(c_0_725,negated_conjecture,
( ~ hskp19
| ~ c3_1(a2316) ),
c_0_618 ).
cnf(c_0_726,negated_conjecture,
( ~ hskp19
| ~ c2_1(a2316) ),
c_0_619 ).
cnf(c_0_727,negated_conjecture,
( ~ hskp20
| ~ c0_1(a2323)
| hskp19
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_198]),c_0_195]) ).
cnf(c_0_728,negated_conjecture,
( ~ hskp7
| ~ c3_1(a2286)
| hskp17
| hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_622]) ).
cnf(c_0_729,negated_conjecture,
( ~ hskp7
| hskp17
| c3_1(a2286)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_621]),c_0_624]) ).
cnf(c_0_730,negated_conjecture,
( ~ hskp3
| c1_1(a2280) ),
c_0_625 ).
cnf(c_0_731,negated_conjecture,
( ~ hskp0
| epred8_0
| epred15_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_626]) ).
cnf(c_0_732,negated_conjecture,
( hskp0
| epred15_0
| epred27_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_627,c_0_628]) ).
cnf(c_0_733,negated_conjecture,
( ~ epred19_0
| ~ epred24_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_629,c_0_369]),c_0_360]),c_0_275]) ).
cnf(c_0_734,negated_conjecture,
( epred19_0
| epred39_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_631]),c_0_632]) ).
cnf(c_0_735,negated_conjecture,
( ~ hskp29
| epred24_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_330,c_0_633]) ).
cnf(c_0_736,negated_conjecture,
( hskp29
| epred39_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_634]),c_0_457]),c_0_635]) ).
cnf(c_0_737,negated_conjecture,
( hskp25
| hskp3
| epred39_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_636]) ).
cnf(c_0_738,negated_conjecture,
( ~ hskp13
| ~ c0_1(a2299)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_375]),c_0_376]) ).
cnf(c_0_739,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
c_0_637 ).
cnf(c_0_740,negated_conjecture,
( ~ hskp30
| epred4_0
| epred20_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_639]),c_0_428]) ).
cnf(c_0_741,negated_conjecture,
( hskp30
| hskp14
| epred4_0
| epred20_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_638,c_0_640]) ).
cnf(c_0_742,negated_conjecture,
( ~ hskp26
| c2_1(a2345)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_470]),c_0_492]) ).
cnf(c_0_743,negated_conjecture,
( ~ c1_1(X1)
| hskp26
| c2_1(X1)
| c3_1(X1)
| epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_641]),c_0_174])]) ).
cnf(c_0_744,negated_conjecture,
( ~ hskp26
| c3_1(a2345) ),
c_0_642 ).
cnf(c_0_745,negated_conjecture,
( ~ hskp20
| hskp4
| hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_198]),c_0_197]),c_0_195]) ).
cnf(c_0_746,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_644 ).
cnf(c_0_747,negated_conjecture,
( hskp1
| epred19_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_646]) ).
cnf(c_0_748,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c2_1(X2) ),
c_0_647 ).
cnf(c_0_749,negated_conjecture,
( epred20_0
| epred30_0
| epred41_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_648,c_0_649]) ).
cnf(c_0_750,negated_conjecture,
( epred21_0
| epred41_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_650]) ).
cnf(c_0_751,negated_conjecture,
( ~ epred9_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_651,c_0_383]),c_0_230]) ).
cnf(c_0_752,negated_conjecture,
( epred9_0
| epred41_0
| epred43_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_652,c_0_650]) ).
cnf(c_0_753,negated_conjecture,
( epred14_0
| epred41_0
| epred43_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_653,c_0_421]) ).
cnf(c_0_754,negated_conjecture,
( epred20_0
| epred30_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_654,c_0_649]),c_0_428]) ).
cnf(c_0_755,negated_conjecture,
( epred20_0
| epred40_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_306]),c_0_270]) ).
cnf(c_0_756,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp19
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_656 ).
cnf(c_0_757,negated_conjecture,
( ~ epred7_0
| ~ epred40_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_657,c_0_173]),c_0_294]),c_0_429]) ).
cnf(c_0_758,negated_conjecture,
( epred7_0
| epred13_0
| epred20_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_659]),c_0_550]) ).
cnf(c_0_759,negated_conjecture,
( hskp1
| epred13_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_269]),c_0_550]) ).
cnf(c_0_760,negated_conjecture,
( ~ hskp0
| ~ c2_1(a2276)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_507]),c_0_451]) ).
cnf(c_0_761,negated_conjecture,
( ~ hskp20
| hskp0
| epred5_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_661]) ).
cnf(c_0_762,negated_conjecture,
( ~ hskp8
| hskp1
| c3_1(a2287)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_500]),c_0_498]) ).
cnf(c_0_763,negated_conjecture,
( ~ hskp15
| c1_1(a2303) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
cnf(c_0_764,negated_conjecture,
( ~ hskp15
| c2_1(a2303) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_765,negated_conjecture,
( ~ hskp15
| ~ c3_1(a2303) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_766,negated_conjecture,
( ~ hskp17
| epred42_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_662,c_0_663]),c_0_664]),c_0_665]) ).
cnf(c_0_767,negated_conjecture,
( hskp17
| c2_1(X1)
| c3_1(X1)
| epred18_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_623,c_0_663]) ).
cnf(c_0_768,negated_conjecture,
( ~ hskp30
| epred19_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_666,c_0_586]) ).
cnf(c_0_769,negated_conjecture,
( hskp30
| hskp0
| epred12_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_627,c_0_667]) ).
cnf(c_0_770,negated_conjecture,
( ~ hskp30
| c0_1(a2315)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_255]),c_0_257]) ).
cnf(c_0_771,negated_conjecture,
( ~ hskp8
| hskp30
| c3_1(a2287)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_500]),c_0_498]) ).
cnf(c_0_772,negated_conjecture,
( ~ hskp28
| ~ c2_1(a2278)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_522]),c_0_523]) ).
cnf(c_0_773,negated_conjecture,
( ~ hskp28
| c2_1(a2278)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_522]),c_0_523]) ).
cnf(c_0_774,negated_conjecture,
( ~ hskp16
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_670]),c_0_671]),c_0_672]) ).
cnf(c_0_775,negated_conjecture,
( hskp28
| hskp16
| epred6_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_673,c_0_674]) ).
cnf(c_0_776,negated_conjecture,
( ~ hskp16
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_675]),c_0_671]),c_0_672]) ).
cnf(c_0_777,negated_conjecture,
( hskp22
| hskp14
| hskp3 ),
clause43 ).
cnf(c_0_778,negated_conjecture,
( ~ hskp31
| c2_1(a2387) ),
c_0_676 ).
cnf(c_0_779,negated_conjecture,
( ~ hskp31
| c0_1(a2387) ),
c_0_677 ).
cnf(c_0_780,negated_conjecture,
( ~ hskp31
| c3_1(a2387) ),
c_0_678 ).
cnf(c_0_781,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause198]) ).
cnf(c_0_782,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp18
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause197]) ).
cnf(c_0_783,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp0
| c3_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause194]) ).
cnf(c_0_784,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
cnf(c_0_785,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp0
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause191]) ).
cnf(c_0_786,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp1
| c3_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause193]) ).
cnf(c_0_787,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause195]) ).
cnf(c_0_788,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause196]) ).
cnf(c_0_789,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp1
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause182]) ).
cnf(c_0_790,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp8
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_791,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp17
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_792,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp28
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
cnf(c_0_793,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause177]) ).
cnf(c_0_794,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause178]) ).
cnf(c_0_795,negated_conjecture,
( ~ hskp21
| hskp19
| hskp7
| epred17_0 ),
inference(spm,[status(thm)],[c_0_679,c_0_680]) ).
cnf(c_0_796,negated_conjecture,
( hskp21
| hskp1
| epred45_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_681]) ).
cnf(c_0_797,negated_conjecture,
( ~ hskp8
| epred15_0
| epred39_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_682]) ).
cnf(c_0_798,negated_conjecture,
( ~ hskp14
| hskp8
| epred15_0
| epred22_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_683,c_0_684]) ).
cnf(c_0_799,negated_conjecture,
( ~ hskp8
| epred15_0
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_685]) ).
cnf(c_0_800,negated_conjecture,
( ~ hskp8
| epred8_0
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_686]) ).
cnf(c_0_801,negated_conjecture,
( ~ hskp14
| hskp12
| epred12_0
| epred19_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_687,c_0_688]) ).
cnf(c_0_802,negated_conjecture,
( ~ hskp1
| epred16_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_272,c_0_689]) ).
cnf(c_0_803,negated_conjecture,
( ~ hskp14
| hskp1
| epred3_0
| epred8_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_690]) ).
cnf(c_0_804,negated_conjecture,
( ~ c2_1(X1)
| hskp19
| hskp7
| c0_1(X1)
| c3_1(X1)
| epred41_0 ),
inference(spm,[status(thm)],[c_0_574,c_0_334]) ).
cnf(c_0_805,negated_conjecture,
( ~ hskp27
| hskp19
| hskp7
| epred13_0 ),
inference(spm,[status(thm)],[c_0_691,c_0_692]) ).
cnf(c_0_806,negated_conjecture,
( ~ hskp0
| hskp27
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_693,c_0_694]) ).
cnf(c_0_807,negated_conjecture,
( ~ hskp6
| ~ c2_1(a2285)
| hskp19
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_215]),c_0_218]) ).
cnf(c_0_808,negated_conjecture,
( ~ hskp13
| hskp14
| hskp4
| epred20_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_472,c_0_695]) ).
cnf(c_0_809,negated_conjecture,
( hskp19
| hskp13
| hskp4
| epred41_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_696]) ).
cnf(c_0_810,negated_conjecture,
( ~ hskp12
| epred1_0
| epred6_0
| epred27_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_627,c_0_697]) ).
cnf(c_0_811,negated_conjecture,
( ~ c1_1(X1)
| hskp14
| hskp1
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_698,c_0_174])]) ).
cnf(c_0_812,negated_conjecture,
( ~ hskp4
| hskp1
| c1_1(a2282)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_543]),c_0_544]) ).
cnf(c_0_813,negated_conjecture,
( ~ c2_1(X1)
| hskp0
| c3_1(X1)
| c1_1(X1)
| epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_700]),c_0_174])]) ).
cnf(c_0_814,negated_conjecture,
( ~ hskp12
| hskp14
| c2_1(a2295)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_323]),c_0_324]) ).
cnf(c_0_815,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp19
| hskp12
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_701,c_0_174])]) ).
cnf(c_0_816,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred41_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_412,c_0_334]) ).
cnf(c_0_817,negated_conjecture,
( ~ hskp21
| ~ c2_1(a2324)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_575]),c_0_576]) ).
cnf(c_0_818,negated_conjecture,
( hskp19
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred4_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_577,c_0_470]) ).
cnf(c_0_819,negated_conjecture,
( ~ hskp4
| hskp30
| c1_1(a2282)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_543]),c_0_702]) ).
cnf(c_0_820,negated_conjecture,
( ~ hskp17
| hskp28
| c0_1(a2306)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_662,c_0_445]),c_0_664]) ).
cnf(c_0_821,negated_conjecture,
( ~ hskp23
| hskp0
| c1_1(a2327)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_252]),c_0_253]) ).
cnf(c_0_822,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp3
| c3_1(X1)
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_703]),c_0_174])]) ).
cnf(c_0_823,negated_conjecture,
( ~ hskp10
| hskp12
| c1_1(a2293) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_704]),c_0_705]) ).
cnf(c_0_824,negated_conjecture,
( ~ hskp10
| hskp1
| c1_1(a2293)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_706]),c_0_705]) ).
cnf(c_0_825,negated_conjecture,
( ~ hskp4
| hskp1
| c1_1(a2282)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_543]),c_0_702]) ).
cnf(c_0_826,negated_conjecture,
( ~ hskp6
| c2_1(a2285)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_215]),c_0_216]) ).
cnf(c_0_827,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_487,c_0_470]) ).
cnf(c_0_828,negated_conjecture,
( ~ hskp28
| c2_1(a2278)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_522]),c_0_524]) ).
cnf(c_0_829,negated_conjecture,
( ~ c2_1(X1)
| hskp18
| c0_1(X1)
| epred36_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_707,c_0_334]) ).
cnf(c_0_830,negated_conjecture,
( ~ c0_1(X1)
| hskp0
| c2_1(X1)
| c1_1(X1)
| epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_708]),c_0_174])]) ).
cnf(c_0_831,negated_conjecture,
( ~ hskp17
| c0_1(a2306)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_662,c_0_470]),c_0_664]) ).
cnf(c_0_832,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp0
| c0_1(X1)
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_709]),c_0_174])]) ).
cnf(c_0_833,negated_conjecture,
( hskp28
| hskp9
| c0_1(X1)
| c2_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_710,c_0_174])]) ).
cnf(c_0_834,negated_conjecture,
( hskp22
| hskp21
| c2_1(X1)
| c3_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_711,c_0_174])]) ).
cnf(c_0_835,negated_conjecture,
( hskp10
| hskp6
| c0_1(X1)
| c2_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_712,c_0_174])]) ).
cnf(c_0_836,negated_conjecture,
( hskp3
| hskp2
| c0_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_713,c_0_174])]) ).
cnf(c_0_837,negated_conjecture,
( ~ c1_1(X1)
| hskp28
| hskp8
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_714,c_0_174])]) ).
cnf(c_0_838,negated_conjecture,
( ~ c0_1(X1)
| hskp1
| c3_1(X1)
| c1_1(X1)
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_715]),c_0_174])]) ).
cnf(c_0_839,negated_conjecture,
( ~ c2_1(X1)
| hskp17
| hskp14
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_716,c_0_174])]) ).
cnf(c_0_840,negated_conjecture,
( ~ c1_1(X1)
| hskp16
| hskp15
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_717,c_0_174])]) ).
cnf(c_0_841,negated_conjecture,
( ~ c3_1(X1)
| hskp8
| hskp7
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_718,c_0_174])]) ).
cnf(c_0_842,negated_conjecture,
( ~ c3_1(X1)
| hskp7
| hskp6
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_719,c_0_174])]) ).
cnf(c_0_843,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp30
| hskp19
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_720,c_0_174])]) ).
cnf(c_0_844,negated_conjecture,
( ~ c3_1(X1)
| hskp29
| hskp8
| c0_1(X1)
| epred39_0 ),
inference(spm,[status(thm)],[c_0_721,c_0_251]) ).
cnf(c_0_845,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp12
| c1_1(X1)
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_722]),c_0_174])]) ).
cnf(c_0_846,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2316)
| hskp21
| hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_723,c_0_724]),c_0_725]) ).
cnf(c_0_847,negated_conjecture,
( ~ hskp19
| c0_1(a2316)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_670]),c_0_725]) ).
cnf(c_0_848,negated_conjecture,
( ~ hskp29
| ~ c3_1(a2309)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_351]),c_0_352]) ).
cnf(c_0_849,negated_conjecture,
( ~ hskp29
| hskp19
| hskp7
| c3_1(a2309) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_351]),c_0_353]) ).
cnf(c_0_850,negated_conjecture,
( ~ hskp6
| hskp19
| c2_1(a2285)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_215]),c_0_218]) ).
cnf(c_0_851,negated_conjecture,
( ~ hskp20
| hskp19
| hskp4
| epred41_0 ),
inference(spm,[status(thm)],[c_0_727,c_0_372]) ).
cnf(c_0_852,negated_conjecture,
( ~ hskp7
| hskp17
| hskp14
| epred18_0 ),
inference(spm,[status(thm)],[c_0_728,c_0_729]) ).
cnf(c_0_853,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2280)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_730]),c_0_357]) ).
cnf(c_0_854,negated_conjecture,
( ~ hskp3
| hskp17
| hskp14
| c0_1(a2280) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_730]),c_0_357]) ).
cnf(c_0_855,negated_conjecture,
( ~ hskp0
| hskp17
| hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_507]),c_0_450]),c_0_451]) ).
cnf(c_0_856,negated_conjecture,
( epred8_0
| epred15_0
| epred27_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_731,c_0_732]) ).
cnf(c_0_857,negated_conjecture,
( ~ epred24_0
| ~ epred44_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_733,c_0_734]) ).
cnf(c_0_858,negated_conjecture,
( epred24_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_735,c_0_736]) ).
cnf(c_0_859,negated_conjecture,
( epred39_0
| epred43_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_737]),c_0_457]) ).
cnf(c_0_860,negated_conjecture,
( ~ hskp13
| epred24_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_738,c_0_484]) ).
cnf(c_0_861,negated_conjecture,
( ~ epred4_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_739,c_0_490]),c_0_414]) ).
cnf(c_0_862,negated_conjecture,
( epred4_0
| epred20_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_740,c_0_741]),c_0_270]),c_0_428]) ).
cnf(c_0_863,negated_conjecture,
( ~ hskp26
| epred4_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_571,c_0_742]) ).
cnf(c_0_864,negated_conjecture,
( ~ hskp19
| hskp26
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_743,c_0_724]),c_0_726]),c_0_725]) ).
cnf(c_0_865,negated_conjecture,
( ~ hskp26
| hskp0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_744]),c_0_492]),c_0_491]) ).
cnf(c_0_866,negated_conjecture,
( ~ hskp3
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_730]),c_0_357]),c_0_356]) ).
cnf(c_0_867,negated_conjecture,
( ~ hskp14
| hskp4
| hskp3 ),
inference(spm,[status(thm)],[c_0_745,c_0_233]) ).
cnf(c_0_868,negated_conjecture,
( ~ epred19_0
| ~ epred38_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_746,c_0_568]),c_0_223]),c_0_275]) ).
cnf(c_0_869,negated_conjecture,
( epred19_0
| epred21_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_747]) ).
cnf(c_0_870,negated_conjecture,
( ~ hskp30
| hskp27
| hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_255]),c_0_256]),c_0_257]) ).
cnf(c_0_871,negated_conjecture,
( ~ epred30_0
| ~ epred42_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_748,c_0_563]),c_0_182]),c_0_295]) ).
cnf(c_0_872,negated_conjecture,
( epred30_0
| epred41_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_749]),c_0_750]) ).
cnf(c_0_873,negated_conjecture,
( epred41_0
| epred43_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_751,c_0_752]),c_0_753]) ).
cnf(c_0_874,negated_conjecture,
( epred30_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_754]),c_0_344]) ).
cnf(c_0_875,negated_conjecture,
( epred40_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_755]),c_0_344]) ).
cnf(c_0_876,negated_conjecture,
( ~ epred13_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_756,c_0_496]),c_0_380]) ).
cnf(c_0_877,negated_conjecture,
( ~ epred40_0
| ~ epred41_0
| epred13_0
| epred20_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_757,c_0_758]) ).
cnf(c_0_878,negated_conjecture,
( epred7_0
| epred13_0
| epred20_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_759]),c_0_550]) ).
cnf(c_0_879,negated_conjecture,
( ~ hskp0
| epred7_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_760,c_0_592]) ).
cnf(c_0_880,negated_conjecture,
( ~ hskp14
| hskp0
| epred5_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_761,c_0_233]) ).
cnf(c_0_881,negated_conjecture,
( ~ hskp1
| epred7_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_558,c_0_689]) ).
cnf(c_0_882,negated_conjecture,
( ~ hskp8
| hskp1
| epred3_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_762]) ).
cnf(c_0_883,negated_conjecture,
( ~ hskp18
| hskp0
| c0_1(a2308)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_284]),c_0_469]) ).
cnf(c_0_884,negated_conjecture,
( ~ hskp15
| c1_1(a2303) ),
c_0_763 ).
cnf(c_0_885,negated_conjecture,
( ~ hskp15
| c2_1(a2303) ),
c_0_764 ).
cnf(c_0_886,negated_conjecture,
( ~ hskp15
| ~ c3_1(a2303) ),
c_0_765 ).
cnf(c_0_887,negated_conjecture,
( ~ hskp6
| ~ c2_1(a2285)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_215]),c_0_218]) ).
cnf(c_0_888,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| epred18_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_766,c_0_767]) ).
cnf(c_0_889,negated_conjecture,
( ~ hskp19
| hskp17
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_724]),c_0_726]),c_0_725]) ).
cnf(c_0_890,negated_conjecture,
( ~ hskp7
| ~ c3_1(a2286)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_621]),c_0_624]) ).
cnf(c_0_891,negated_conjecture,
( ~ hskp7
| hskp19
| c3_1(a2286)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_621]),c_0_624]) ).
cnf(c_0_892,negated_conjecture,
( ~ hskp7
| ~ c3_1(a2286)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_251]),c_0_622]) ).
cnf(c_0_893,negated_conjecture,
( ~ hskp1
| hskp19
| c3_1(a2277)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_235]),c_0_238]) ).
cnf(c_0_894,negated_conjecture,
( hskp0
| epred12_0
| epred19_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_768,c_0_769]) ).
cnf(c_0_895,negated_conjecture,
( ~ hskp30
| epred27_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_666,c_0_770]) ).
cnf(c_0_896,negated_conjecture,
( ~ hskp0
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_507]),c_0_450]),c_0_451]) ).
cnf(c_0_897,negated_conjecture,
( ~ hskp8
| hskp30
| epred12_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_583,c_0_771]) ).
cnf(c_0_898,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2316)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_724]),c_0_726]) ).
cnf(c_0_899,negated_conjecture,
( ~ hskp7
| c3_1(a2286)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_670]),c_0_622]) ).
cnf(c_0_900,negated_conjecture,
( ~ hskp28
| epred21_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_772,c_0_773]) ).
cnf(c_0_901,negated_conjecture,
( hskp28
| epred6_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_774,c_0_775]) ).
cnf(c_0_902,negated_conjecture,
( hskp28
| epred2_0
| epred6_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_776,c_0_775]) ).
cnf(c_0_903,negated_conjecture,
( hskp14
| hskp3
| epred41_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_777]) ).
cnf(c_0_904,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2280)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_730]),c_0_356]) ).
cnf(c_0_905,negated_conjecture,
( ~ hskp31
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_778]),c_0_779]),c_0_780]) ).
cnf(c_0_906,negated_conjecture,
( hskp14
| hskp7
| hskp31 ),
clause39 ).
cnf(c_0_907,negated_conjecture,
( ~ hskp8
| c3_1(a2287)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_500]),c_0_499]) ).
cnf(c_0_908,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| c3_1(X2) ),
c_0_781 ).
cnf(c_0_909,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp18
| c0_1(X2) ),
c_0_782 ).
cnf(c_0_910,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp0
| c3_1(X2)
| c1_1(X2) ),
c_0_783 ).
cnf(c_0_911,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2) ),
c_0_784 ).
cnf(c_0_912,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp0
| c0_1(X2)
| c0_1(X1) ),
c_0_785 ).
cnf(c_0_913,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp1
| c3_1(X2)
| c1_1(X2) ),
c_0_786 ).
cnf(c_0_914,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c3_1(X1) ),
c_0_787 ).
cnf(c_0_915,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| c3_1(X2)
| c2_1(X2) ),
c_0_788 ).
cnf(c_0_916,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp1
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_789 ).
cnf(c_0_917,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp8
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_790 ).
cnf(c_0_918,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp17
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_791 ).
cnf(c_0_919,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp28
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_792 ).
cnf(c_0_920,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_793 ).
cnf(c_0_921,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_794 ).
cnf(c_0_922,negated_conjecture,
( ~ hskp21
| ~ c0_1(a2324) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_923,negated_conjecture,
( hskp1
| epred45_0
| hskp19
| hskp7
| epred17_0 ),
inference(spm,[status(thm)],[c_0_795,c_0_796]) ).
cnf(c_0_924,negated_conjecture,
( ~ hskp14
| epred22_0
| epred15_0
| epred39_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_797,c_0_798]) ).
cnf(c_0_925,negated_conjecture,
( ~ hskp14
| epred22_0
| epred15_0
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_799,c_0_798]) ).
cnf(c_0_926,negated_conjecture,
( ~ hskp14
| epred15_0
| epred22_0
| epred8_0
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_800,c_0_798]) ).
cnf(c_0_927,negated_conjecture,
( ~ hskp14
| epred12_0
| epred19_0
| epred34_0
| hskp8
| epred22_0 ),
inference(spm,[status(thm)],[c_0_683,c_0_801]) ).
cnf(c_0_928,negated_conjecture,
( ~ hskp14
| epred3_0
| epred8_0
| epred39_0
| epred16_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_802,c_0_803]) ).
cnf(c_0_929,negated_conjecture,
( ~ hskp14
| epred3_0
| epred8_0
| epred39_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_803]) ).
cnf(c_0_930,negated_conjecture,
( ~ hskp4
| hskp19
| hskp7
| c0_1(a2282)
| c3_1(a2282)
| epred41_0 ),
inference(spm,[status(thm)],[c_0_804,c_0_543]) ).
cnf(c_0_931,negated_conjecture,
( ~ hskp0
| epred4_0
| epred7_0
| hskp19
| hskp7
| epred13_0 ),
inference(spm,[status(thm)],[c_0_805,c_0_806]) ).
cnf(c_0_932,negated_conjecture,
( hskp29
| hskp3
| hskp19
| hskp7
| epred13_0 ),
inference(spm,[status(thm)],[c_0_805,c_0_355]) ).
cnf(c_0_933,negated_conjecture,
( ~ hskp6
| hskp14
| epred20_0
| hskp19
| hskp7 ),
inference(spm,[status(thm)],[c_0_807,c_0_424]) ).
cnf(c_0_934,negated_conjecture,
( hskp19
| hskp14
| hskp4
| epred20_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_808,c_0_809]) ).
cnf(c_0_935,negated_conjecture,
( ~ hskp14
| epred15_0
| epred39_0
| epred1_0
| epred6_0
| epred27_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_810,c_0_684]) ).
cnf(c_0_936,negated_conjecture,
( ~ hskp4
| epred25_0
| hskp14
| hskp1
| c0_1(a2282)
| c3_1(a2282) ),
inference(spm,[status(thm)],[c_0_811,c_0_812]) ).
cnf(c_0_937,negated_conjecture,
( ~ hskp4
| ~ c2_1(a2282)
| hskp1
| epred25_0
| hskp18
| c0_1(a2282)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_707,c_0_812]) ).
cnf(c_0_938,negated_conjecture,
( ~ hskp12
| hskp14
| epred20_0
| hskp0
| c3_1(a2295)
| c1_1(a2295)
| epred35_0 ),
inference(spm,[status(thm)],[c_0_813,c_0_814]) ).
cnf(c_0_939,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2277)
| hskp14
| epred20_0
| hskp19
| hskp12
| c2_1(a2277) ),
inference(spm,[status(thm)],[c_0_815,c_0_273]) ).
cnf(c_0_940,negated_conjecture,
( ~ hskp4
| c0_1(a2282)
| c3_1(a2282)
| epred41_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_816,c_0_543]) ).
cnf(c_0_941,negated_conjecture,
( ~ hskp21
| c0_1(a2324)
| c3_1(a2324)
| epred2_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_817,c_0_675]) ).
cnf(c_0_942,negated_conjecture,
( ~ hskp21
| c0_1(a2324)
| c3_1(a2324)
| epred38_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_817,c_0_670]) ).
cnf(c_0_943,negated_conjecture,
( ~ hskp16
| hskp19
| c0_1(a2304)
| c3_1(a2304)
| epred4_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_669,c_0_818]) ).
cnf(c_0_944,negated_conjecture,
( ~ hskp4
| ~ c2_1(a2282)
| hskp30
| epred12_0
| c0_1(a2282)
| epred19_0 ),
inference(spm,[status(thm)],[c_0_314,c_0_819]) ).
cnf(c_0_945,negated_conjecture,
( ~ hskp17
| hskp28
| epred6_0
| hskp12
| c3_1(a2306)
| c1_1(a2306) ),
inference(spm,[status(thm)],[c_0_212,c_0_820]) ).
cnf(c_0_946,negated_conjecture,
( ~ hskp23
| ~ c3_1(a2327)
| hskp0
| epred5_0
| c2_1(a2327)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_487,c_0_821]) ).
cnf(c_0_947,negated_conjecture,
( ~ hskp10
| ~ c0_1(a2293)
| hskp12
| hskp3
| c3_1(a2293)
| epred37_0 ),
inference(spm,[status(thm)],[c_0_822,c_0_823]) ).
cnf(c_0_948,negated_conjecture,
( ~ c3_1(a2345)
| ~ hskp26
| c0_1(a2345)
| epred39_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_571,c_0_251]) ).
cnf(c_0_949,negated_conjecture,
( ~ hskp10
| ~ c0_1(a2293)
| hskp1
| epred3_0
| hskp3
| c3_1(a2293)
| epred37_0 ),
inference(spm,[status(thm)],[c_0_822,c_0_824]) ).
cnf(c_0_950,negated_conjecture,
( ~ hskp4
| epred3_0
| hskp14
| hskp1
| c0_1(a2282)
| c3_1(a2282) ),
inference(spm,[status(thm)],[c_0_811,c_0_825]) ).
cnf(c_0_951,negated_conjecture,
( ~ hskp4
| ~ c2_1(a2282)
| hskp1
| epred3_0
| hskp19
| hskp7
| c3_1(a2282) ),
inference(spm,[status(thm)],[c_0_574,c_0_825]) ).
cnf(c_0_952,negated_conjecture,
( ~ hskp4
| ~ c2_1(a2282)
| hskp1
| epred3_0
| c0_1(a2282)
| epred19_0 ),
inference(spm,[status(thm)],[c_0_314,c_0_825]) ).
cnf(c_0_953,negated_conjecture,
( ~ hskp6
| ~ c0_1(a2285)
| epred21_0
| c3_1(a2285)
| epred24_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_826]) ).
cnf(c_0_954,negated_conjecture,
( ~ c3_1(a2327)
| ~ hskp23
| c0_1(a2327)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_827]) ).
cnf(c_0_955,negated_conjecture,
( ~ hskp28
| ~ c0_1(a2278)
| ~ c3_1(a2278)
| epred7_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_489,c_0_828]) ).
cnf(c_0_956,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2316)
| hskp3
| c3_1(a2316)
| epred37_0 ),
inference(spm,[status(thm)],[c_0_822,c_0_724]) ).
cnf(c_0_957,negated_conjecture,
( ~ hskp6
| ~ c0_1(a2285)
| hskp3
| c3_1(a2285)
| epred37_0 ),
inference(spm,[status(thm)],[c_0_822,c_0_215]) ).
cnf(c_0_958,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2277)
| hskp3
| c3_1(a2277)
| epred37_0 ),
inference(spm,[status(thm)],[c_0_822,c_0_235]) ).
cnf(c_0_959,negated_conjecture,
( ~ hskp14
| hskp18
| c0_1(a2302)
| epred36_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_829,c_0_200]) ).
cnf(c_0_960,negated_conjecture,
( ~ hskp27
| ~ c2_1(a2367)
| hskp18
| c0_1(a2367)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_707,c_0_315]) ).
cnf(c_0_961,negated_conjecture,
( ~ hskp0
| ~ c2_1(a2276)
| hskp18
| c0_1(a2276)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_707,c_0_507]) ).
cnf(c_0_962,negated_conjecture,
( ~ hskp13
| hskp0
| c3_1(a2299)
| c1_1(a2299)
| epred35_0 ),
inference(spm,[status(thm)],[c_0_813,c_0_375]) ).
cnf(c_0_963,negated_conjecture,
( ~ hskp17
| epred4_0
| hskp0
| c2_1(a2306)
| c1_1(a2306)
| epred33_0 ),
inference(spm,[status(thm)],[c_0_830,c_0_831]) ).
cnf(c_0_964,negated_conjecture,
( ~ hskp17
| epred4_0
| hskp14
| c2_1(a2306)
| c3_1(a2306)
| epred20_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_831]) ).
cnf(c_0_965,negated_conjecture,
( ~ hskp14
| ~ c3_1(a2302)
| hskp0
| c0_1(a2302)
| epred31_0 ),
inference(spm,[status(thm)],[c_0_832,c_0_200]) ).
cnf(c_0_966,negated_conjecture,
( ~ hskp19
| hskp28
| hskp9
| c0_1(a2316)
| c3_1(a2316) ),
inference(spm,[status(thm)],[c_0_726,c_0_833]) ).
cnf(c_0_967,negated_conjecture,
( ~ hskp7
| hskp28
| hskp9
| c0_1(a2286)
| c3_1(a2286) ),
inference(spm,[status(thm)],[c_0_624,c_0_833]) ).
cnf(c_0_968,negated_conjecture,
( ~ hskp17
| hskp22
| hskp21
| c2_1(a2306)
| c3_1(a2306) ),
inference(spm,[status(thm)],[c_0_662,c_0_834]) ).
cnf(c_0_969,negated_conjecture,
( ~ hskp19
| hskp10
| hskp6
| c0_1(a2316)
| c3_1(a2316) ),
inference(spm,[status(thm)],[c_0_726,c_0_835]) ).
cnf(c_0_970,negated_conjecture,
( ~ hskp7
| hskp10
| hskp6
| c0_1(a2286)
| c3_1(a2286) ),
inference(spm,[status(thm)],[c_0_624,c_0_835]) ).
cnf(c_0_971,negated_conjecture,
( ~ hskp9
| hskp3
| hskp2
| c0_1(a2291)
| c2_1(a2291) ),
inference(spm,[status(thm)],[c_0_588,c_0_836]) ).
cnf(c_0_972,negated_conjecture,
( ~ hskp7
| hskp28
| hskp8
| c0_1(a2286)
| c2_1(a2286) ),
inference(spm,[status(thm)],[c_0_837,c_0_621]) ).
cnf(c_0_973,negated_conjecture,
( ~ hskp12
| hskp1
| c3_1(a2295)
| c1_1(a2295)
| epred29_0 ),
inference(spm,[status(thm)],[c_0_838,c_0_323]) ).
cnf(c_0_974,negated_conjecture,
( ~ hskp4
| hskp17
| hskp14
| c0_1(a2282)
| c3_1(a2282) ),
inference(spm,[status(thm)],[c_0_839,c_0_543]) ).
cnf(c_0_975,negated_conjecture,
( ~ hskp21
| hskp16
| hskp15
| c0_1(a2324)
| c3_1(a2324) ),
inference(spm,[status(thm)],[c_0_840,c_0_575]) ).
cnf(c_0_976,negated_conjecture,
( ~ hskp21
| hskp14
| hskp1
| c0_1(a2324)
| c3_1(a2324) ),
inference(spm,[status(thm)],[c_0_811,c_0_575]) ).
cnf(c_0_977,negated_conjecture,
( ~ hskp19
| hskp14
| hskp1
| c0_1(a2316)
| c3_1(a2316) ),
inference(spm,[status(thm)],[c_0_811,c_0_724]) ).
cnf(c_0_978,negated_conjecture,
( ~ hskp7
| hskp14
| hskp1
| c0_1(a2286)
| c3_1(a2286) ),
inference(spm,[status(thm)],[c_0_811,c_0_621]) ).
cnf(c_0_979,negated_conjecture,
( ~ hskp26
| hskp8
| hskp7
| c0_1(a2345)
| c1_1(a2345) ),
inference(spm,[status(thm)],[c_0_841,c_0_744]) ).
cnf(c_0_980,negated_conjecture,
( ~ hskp20
| hskp8
| hskp7
| c0_1(a2323)
| c1_1(a2323) ),
inference(spm,[status(thm)],[c_0_841,c_0_198]) ).
cnf(c_0_981,negated_conjecture,
( ~ hskp26
| hskp7
| hskp6
| c0_1(a2345)
| c1_1(a2345) ),
inference(spm,[status(thm)],[c_0_842,c_0_744]) ).
cnf(c_0_982,negated_conjecture,
( ~ hskp20
| hskp7
| hskp6
| c0_1(a2323)
| c1_1(a2323) ),
inference(spm,[status(thm)],[c_0_842,c_0_198]) ).
cnf(c_0_983,negated_conjecture,
( ~ hskp18
| hskp7
| hskp6
| c0_1(a2308)
| c1_1(a2308) ),
inference(spm,[status(thm)],[c_0_842,c_0_284]) ).
cnf(c_0_984,negated_conjecture,
( ~ hskp14
| ~ c3_1(a2302)
| hskp30
| hskp19
| c0_1(a2302) ),
inference(spm,[status(thm)],[c_0_843,c_0_200]) ).
cnf(c_0_985,negated_conjecture,
( ~ hskp20
| hskp29
| hskp8
| c0_1(a2323)
| epred39_0 ),
inference(spm,[status(thm)],[c_0_844,c_0_198]) ).
cnf(c_0_986,negated_conjecture,
( ~ hskp8
| ~ c0_1(a2287)
| hskp12
| c1_1(a2287)
| epred28_0 ),
inference(spm,[status(thm)],[c_0_845,c_0_500]) ).
cnf(c_0_987,negated_conjecture,
( ~ hskp19
| hskp21
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_846,c_0_847]),c_0_774]) ).
cnf(c_0_988,negated_conjecture,
( ~ hskp18
| ~ c0_1(a2308)
| hskp19
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_284]),c_0_283]) ).
cnf(c_0_989,negated_conjecture,
( ~ hskp29
| hskp19
| hskp7
| epred27_0 ),
inference(spm,[status(thm)],[c_0_848,c_0_849]) ).
cnf(c_0_990,negated_conjecture,
( ~ hskp6
| hskp19
| hskp7
| epred17_0 ),
inference(spm,[status(thm)],[c_0_807,c_0_850]) ).
cnf(c_0_991,negated_conjecture,
( ~ hskp6
| hskp19
| hskp7
| epred21_0 ),
inference(spm,[status(thm)],[c_0_807,c_0_826]) ).
cnf(c_0_992,negated_conjecture,
( ~ hskp14
| hskp19
| hskp4
| epred41_0 ),
inference(spm,[status(thm)],[c_0_851,c_0_233]) ).
cnf(c_0_993,negated_conjecture,
( ~ hskp7
| hskp14
| epred18_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_766,c_0_852]) ).
cnf(c_0_994,negated_conjecture,
( ~ hskp3
| hskp17
| hskp14
| epred27_0 ),
inference(spm,[status(thm)],[c_0_853,c_0_854]) ).
cnf(c_0_995,negated_conjecture,
( ~ hskp0
| hskp14
| epred42_0 ),
inference(spm,[status(thm)],[c_0_766,c_0_855]) ).
cnf(c_0_996,negated_conjecture,
( ~ epred9_0
| epred15_0
| epred27_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_464,c_0_856]) ).
cnf(c_0_997,negated_conjecture,
( epred39_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_857,c_0_858]),c_0_859]) ).
cnf(c_0_998,negated_conjecture,
( ~ hskp14
| hskp12
| epred24_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_860,c_0_582]) ).
cnf(c_0_999,negated_conjecture,
( ~ epred5_0
| epred20_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_861,c_0_862]) ).
cnf(c_0_1000,negated_conjecture,
( ~ hskp19
| epred4_0
| epred26_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_863,c_0_864]) ).
cnf(c_0_1001,negated_conjecture,
( ~ hskp19
| hskp0
| epred5_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_865,c_0_864]) ).
cnf(c_0_1002,negated_conjecture,
( ~ hskp14
| hskp4
| epred7_0 ),
inference(spm,[status(thm)],[c_0_866,c_0_867]) ).
cnf(c_0_1003,negated_conjecture,
( ~ epred38_0
| ~ epred39_0
| epred21_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_868,c_0_869]) ).
cnf(c_0_1004,negated_conjecture,
( ~ hskp30
| hskp27
| epred4_0 ),
inference(spm,[status(thm)],[c_0_693,c_0_870]) ).
cnf(c_0_1005,negated_conjecture,
( ~ hskp30
| hskp18
| hskp2
| epred41_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_418,c_0_471]) ).
cnf(c_0_1006,negated_conjecture,
( ~ epred42_0
| epred41_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_871,c_0_872]),c_0_873]) ).
cnf(c_0_1007,negated_conjecture,
( ~ epred42_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_871,c_0_874]),c_0_875]) ).
cnf(c_0_1008,negated_conjecture,
( ~ epred17_0
| ~ epred40_0
| ~ epred41_0
| epred20_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_876,c_0_877]) ).
cnf(c_0_1009,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| hskp18
| hskp2
| epred45_0 ),
inference(spm,[status(thm)],[c_0_214,c_0_297]) ).
cnf(c_0_1010,negated_conjecture,
( ~ epred40_0
| ~ epred41_0
| epred13_0
| epred20_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_757,c_0_878]) ).
cnf(c_0_1011,negated_conjecture,
( ~ hskp14
| epred5_0
| epred7_0
| epred19_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_879,c_0_880]) ).
cnf(c_0_1012,negated_conjecture,
( ~ hskp8
| epred3_0
| epred7_0
| epred16_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_881,c_0_882]) ).
cnf(c_0_1013,negated_conjecture,
( ~ hskp18
| hskp0
| epred5_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_537,c_0_883]) ).
cnf(c_0_1014,negated_conjecture,
( ~ hskp18
| epred39_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_537,c_0_327]) ).
cnf(c_0_1015,negated_conjecture,
( ~ hskp15
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_884]),c_0_885]),c_0_886]) ).
cnf(c_0_1016,negated_conjecture,
( ~ hskp6
| epred21_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_887,c_0_826]) ).
cnf(c_0_1017,negated_conjecture,
( ~ hskp7
| c3_1(a2286)
| epred18_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_624,c_0_888]) ).
cnf(c_0_1018,negated_conjecture,
( ~ hskp19
| epred18_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_766,c_0_889]) ).
cnf(c_0_1019,negated_conjecture,
( ~ hskp7
| hskp19
| epred7_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_890,c_0_891]) ).
cnf(c_0_1020,negated_conjecture,
( ~ hskp7
| hskp19
| epred17_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_892,c_0_891]) ).
cnf(c_0_1021,negated_conjecture,
( ~ hskp1
| hskp19
| epred7_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_558,c_0_893]) ).
cnf(c_0_1022,negated_conjecture,
( epred7_0
| epred12_0
| epred19_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_879,c_0_894]) ).
cnf(c_0_1023,negated_conjecture,
( epred12_0
| epred27_0
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_895,c_0_769]),c_0_896]) ).
cnf(c_0_1024,negated_conjecture,
( ~ hskp8
| epred12_0
| epred19_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_687,c_0_897]) ).
cnf(c_0_1025,negated_conjecture,
( ~ hskp19
| epred21_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_898,c_0_847]) ).
cnf(c_0_1026,negated_conjecture,
( ~ hskp7
| epred7_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_890,c_0_899]) ).
cnf(c_0_1027,negated_conjecture,
( epred6_0
| epred21_0
| epred30_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_900,c_0_901]) ).
cnf(c_0_1028,negated_conjecture,
( epred6_0
| epred27_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_627,c_0_901]) ).
cnf(c_0_1029,negated_conjecture,
( epred2_0
| epred6_0
| epred27_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_627,c_0_902]) ).
cnf(c_0_1030,negated_conjecture,
( ~ hskp9
| hskp28
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_445]),c_0_589]),c_0_590]) ).
cnf(c_0_1031,negated_conjecture,
( hskp14
| epred7_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_866,c_0_903]) ).
cnf(c_0_1032,negated_conjecture,
( ~ hskp20
| epred34_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_560,c_0_372]) ).
cnf(c_0_1033,negated_conjecture,
( ~ hskp3
| epred21_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_904,c_0_401]) ).
cnf(c_0_1034,negated_conjecture,
( hskp14
| hskp7
| epred34_0 ),
inference(spm,[status(thm)],[c_0_905,c_0_906]) ).
cnf(c_0_1035,negated_conjecture,
( ~ hskp8
| hskp1
| epred3_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_583,c_0_762]) ).
cnf(c_0_1036,negated_conjecture,
( ~ hskp8
| epred24_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_583,c_0_907]) ).
cnf(c_0_1037,negated_conjecture,
( ~ hskp29
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_351]),c_0_352]),c_0_353]) ).
cnf(c_0_1038,negated_conjecture,
( ~ hskp28
| epred7_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_772,c_0_828]) ).
cnf(c_0_1039,negated_conjecture,
( ~ hskp10
| epred24_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_706]),c_0_704]),c_0_705]) ).
cnf(c_0_1040,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2316)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_724]),c_0_725]) ).
cnf(c_0_1041,negated_conjecture,
( ~ hskp2
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_258]),c_0_219]),c_0_221]) ).
cnf(c_0_1042,negated_conjecture,
( ~ hskp1
| epred7_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_558,c_0_554]) ).
cnf(c_0_1043,negated_conjecture,
( ~ hskp14
| epred19_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_200]),c_0_202]) ).
cnf(c_0_1044,negated_conjecture,
( ~ epred34_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_908,c_0_703]),c_0_430]) ).
cnf(c_0_1045,negated_conjecture,
( ~ epred34_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_909,c_0_604]),c_0_430]) ).
cnf(c_0_1046,negated_conjecture,
( ~ epred27_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_910,c_0_700]),c_0_203]) ).
cnf(c_0_1047,negated_conjecture,
( ~ epred33_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_911,c_0_708]),c_0_430]) ).
cnf(c_0_1048,negated_conjecture,
( ~ epred31_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_912,c_0_709]),c_0_566]) ).
cnf(c_0_1049,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_913,c_0_715]),c_0_295]) ).
cnf(c_0_1050,negated_conjecture,
( ~ epred24_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_914,c_0_722]),c_0_360]) ).
cnf(c_0_1051,negated_conjecture,
( ~ epred26_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_915,c_0_641]),c_0_203]) ).
cnf(c_0_1052,negated_conjecture,
( ~ epred7_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_916,c_0_598]),c_0_429]) ).
cnf(c_0_1053,negated_conjecture,
( ~ epred13_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_917,c_0_501]),c_0_380]) ).
cnf(c_0_1054,negated_conjecture,
( ~ epred18_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_918,c_0_518]),c_0_275]) ).
cnf(c_0_1055,negated_conjecture,
( ~ epred6_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_919,c_0_393]),c_0_429]) ).
cnf(c_0_1056,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_920,c_0_438]),c_0_414]) ).
cnf(c_0_1057,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_921,c_0_446]),c_0_573]) ).
cnf(c_0_1058,negated_conjecture,
( ~ hskp21
| ~ c0_1(a2324) ),
c_0_922 ).
cnf(c_0_1059,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_923,c_0_924,c_0_925,c_0_926,c_0_927,c_0_928,c_0_929,c_0_930,c_0_931,c_0_932,c_0_933,c_0_934,c_0_935,c_0_936,c_0_937,c_0_938,c_0_939,c_0_940,c_0_941,c_0_942,c_0_943,c_0_944,c_0_945,c_0_946,c_0_947,c_0_948,c_0_949,c_0_950,c_0_951,c_0_952,c_0_953,c_0_954,c_0_955,c_0_956,c_0_957,c_0_958,c_0_959,c_0_960,c_0_961,c_0_962,c_0_963,c_0_964,c_0_965,c_0_966,c_0_967,c_0_968,c_0_969,c_0_970,c_0_971,c_0_972,c_0_973,c_0_974,c_0_975,c_0_976,c_0_977,c_0_978,c_0_979,c_0_980,c_0_981,c_0_982,c_0_983,c_0_984,c_0_985,c_0_986,c_0_987,c_0_988,c_0_989,c_0_990,c_0_991,c_0_992,c_0_851,c_0_993,c_0_852,c_0_994,c_0_995,c_0_855,c_0_996,c_0_997,c_0_998,c_0_999,c_0_1000,c_0_1001,c_0_864,c_0_1002,c_0_867,c_0_745,c_0_1003,c_0_869,c_0_646,c_0_1004,c_0_640,c_0_1005,c_0_1006,c_0_1007,c_0_1008,c_0_456,c_0_1009,c_0_1010,c_0_1011,c_0_1012,c_0_428,c_0_386,c_0_472,c_0_658,c_0_308,c_0_273,c_0_551,c_0_418,c_0_371,c_0_1013,c_0_638,c_0_1014,c_0_682,c_0_882,c_0_1015,c_0_1016,c_0_1017,c_0_1018,c_0_889,c_0_1019,c_0_1020,c_0_1021,c_0_685,c_0_1022,c_0_1023,c_0_1024,c_0_344,c_0_306,c_0_270,c_0_409,c_0_363,c_0_1025,c_0_847,c_0_1026,c_0_1027,c_0_1028,c_0_1029,c_0_774,c_0_1030,c_0_810,c_0_697,c_0_865,c_0_233,c_0_1031,c_0_378,c_0_1032,c_0_1033,c_0_1034,c_0_560,c_0_1035,c_0_1036,c_0_1037,c_0_1038,c_0_900,c_0_627,c_0_1039,c_0_898,c_0_305,c_0_354,c_0_879,c_0_1040,c_0_402,c_0_881,c_0_550,c_0_1041,c_0_1042,c_0_890,c_0_866,c_0_558,c_0_592,c_0_693,c_0_1043,c_0_645,c_0_343,c_0_733,c_0_871,c_0_757,c_0_868,c_0_1044,c_0_1045,c_0_1046,c_0_1047,c_0_1048,c_0_1049,c_0_1050,c_0_1051,c_0_1052,c_0_1053,c_0_345,c_0_1054,c_0_876,c_0_630,c_0_546,c_0_464,c_0_1055,c_0_861,c_0_1056,c_0_1057,c_0_451,c_0_238,c_0_702,c_0_544,c_0_218,c_0_624,c_0_622,c_0_498,c_0_590,c_0_589,c_0_705,c_0_325,c_0_324,c_0_377,c_0_376,c_0_202,c_0_672,c_0_671,c_0_662,c_0_665,c_0_664,c_0_469,c_0_725,c_0_195,c_0_576,c_0_1058,c_0_250,c_0_253,c_0_491,c_0_492,c_0_317,c_0_201,c_0_252,c_0_744,c_0_524,c_0_780,c_0_543,c_0_316,c_0_778,c_0_236,c_0_216,c_0_499,c_0_704,c_0_523,c_0_779,c_0_269,c_0_777,c_0_674,c_0_906]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN487-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/15.66 % Computer : n026.cluster.edu
% 0.17/15.66 % Model : x86_64 x86_64
% 0.17/15.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/15.66 % Memory : 8046.5625MB
% 0.17/15.66 % OS : Linux 6.8.0-71-generic
% 0.17/15.66 % CPULimit : 300
% 0.17/15.66 % WCLimit : 300
% 0.17/15.66 % DateTime : Mon Sep 21 11:05:07 UTC 2026
% 0.17/15.67 % CPUTime :
% 0.17/15.67 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/15.74 Running first-order theorem proving
% 0.22/15.74 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
% 10.95/17.41 % Version: 3.5.1
% 10.95/17.41 % Preprocessing class: FSLSSLSMSSSNFFN.
% 10.95/17.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.95/17.41 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.95/17.41 % Starting new_bool_3 with 300s (1) cores
% 10.95/17.41 % Starting new_bool_1 with 300s (1) cores
% 10.95/17.41 % Starting sh5l with 300s (1) cores
% 10.95/17.41 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2105272 completed with status 0
% 10.95/17.41 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 10.95/17.41 % Preprocessing class: FSLSSLSMSSSNFFN.
% 10.95/17.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.95/17.41 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.95/17.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.95/17.41 % No SInE strategy applied
% 10.95/17.41 % Search class: FGHNF-FSMM00-SFFFFFNN
% 10.95/17.41 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 10.95/17.41 % Starting SubtermCWHack with 151s (1) cores
% 10.95/17.41 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 10.95/17.41 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 10.95/17.41 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 10.95/17.41 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 10.95/17.41 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2105277 completed with status 0
% 10.95/17.41 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 10.95/17.41 % Preprocessing class: FSLSSLSMSSSNFFN.
% 10.95/17.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.95/17.41 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.95/17.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.95/17.41 % No SInE strategy applied
% 10.95/17.41 % Search class: FGHNF-FSMM00-SFFFFFNN
% 10.95/17.41 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 10.95/17.41 % Starting SubtermCWHack with 151s (1) cores
% 10.95/17.41 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 10.95/17.41 % Preprocessing time : 0.004 s
% 10.95/17.41 % SatCheck found unsatisfiable ground set
% 10.95/17.41
% 10.95/17.41 % Proof found!
% 10.95/17.41 % SZS status Unsatisfiable
% 10.95/17.41 % SZS output start CNFRefutation
% See solution above
% 10.95/17.42 % Parsed axioms : 203
% 10.95/17.42 % Removed by relevancy pruning/SinE : 0
% 10.95/17.42 % Initial clauses : 203
% 10.95/17.42 % Removed in clause preprocessing : 0
% 10.95/17.42 % Initial clauses in saturation : 203
% 10.95/17.42 % Processed clauses : 8599
% 10.95/17.42 % ...of these trivial : 0
% 10.95/17.42 % ...subsumed : 3599
% 10.95/17.42 % ...remaining for further processing : 5000
% 10.95/17.42 % Other redundant clauses eliminated : 0
% 10.95/17.42 % Clauses deleted for lack of memory : 0
% 10.95/17.42 % Backward-subsumed : 1387
% 10.95/17.42 % Backward-rewritten : 68
% 10.95/17.42 % Generated clauses : 58655
% 10.95/17.42 % ...of the previous two non-redundant : 55658
% 10.95/17.42 % ...aggressively subsumed : 0
% 10.95/17.42 % Contextual simplify-reflections : 672
% 10.95/17.42 % Paramodulations : 58582
% 10.95/17.42 % Factorizations : 0
% 10.95/17.42 % NegExts : 0
% 10.95/17.42 % Equation resolutions : 0
% 10.95/17.42 % Disequality decompositions : 0
% 10.95/17.42 % Total rewrite steps : 96
% 10.95/17.42 % ...of those cached : 95
% 10.95/17.42 % Propositional unsat checks : 1
% 10.95/17.42 % Propositional check models : 0
% 10.95/17.42 % Propositional check unsatisfiable : 1
% 10.95/17.42 % Propositional clauses : 49630
% 10.95/17.42 % Propositional clauses after purity: 49039
% 10.95/17.42 % Propositional unsat core size : 247
% 10.95/17.42 % Propositional preprocessing time : 0.000
% 10.95/17.42 % Propositional encoding time : 0.021
% 10.95/17.42 % Propositional solver time : 0.064
% 10.95/17.42 % Success case prop preproc time : 0.000
% 10.95/17.42 % Success case prop encoding time : 0.021
% 10.95/17.42 % Success case prop solver time : 0.064
% 10.95/17.42 % Current number of processed clauses : 3517
% 10.95/17.42 % Positive orientable unit clauses : 1
% 10.95/17.42 % Positive unorientable unit clauses: 0
% 10.95/17.42 % Negative unit clauses : 0
% 10.95/17.42 % Non-unit-clauses : 3516
% 10.95/17.42 % Current number of unprocessed clauses: 46113
% 10.95/17.42 % ...number of literals in the above : 311590
% 10.95/17.42 % Current number of archived formulas : 0
% 10.95/17.42 % Current number of archived clauses : 1455
% 10.95/17.42 % Clause-clause subsumption calls (NU) : 4712582
% 10.95/17.42 % Rec. Clause-clause subsumption calls : 267221
% 10.95/17.42 % Non-unit clause-clause subsumptions : 5690
% 10.95/17.42 % Unit Clause-clause subsumption calls : 16
% 10.95/17.42 % Rewrite failures with RHS unbound : 0
% 10.95/17.42 % BW rewrite match attempts : 1
% 10.95/17.42 % BW rewrite match successes : 1
% 10.95/17.42 % Condensation attempts : 8599
% 10.95/17.42 % Condensation successes : 0
% 10.95/17.42 % Termbank termtop insertions : 540653
% 10.95/17.42 % Search garbage collected termcells : 485
% 10.95/17.42
% 10.95/17.42 % -------------------------------------------------
% 10.95/17.42 % User time : 1.524 s
% 10.95/17.42 % System time : 0.054 s
% 10.95/17.42 % Total time : 1.578 s
% 10.95/17.42 % Maximum resident set size: 4044 pages
% 10.95/17.42
% 10.95/17.42 % -------------------------------------------------
% 10.95/17.42 % User time : 7.289 s
% 10.95/17.42 % System time : 0.208 s
% 10.95/17.42 % Total time : 7.496 s
% 10.95/17.42 % Maximum resident set size: 4608 pages
% 10.95/17.42 % E exiting
%------------------------------------------------------------------------------