%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN504-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 03:25:11 PM UTC 2026
% Result : Unsatisfiable 22.90s 3.91s
% Output : CNFRefutation 22.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 120
% Syntax : Number of formulae : 444 ( 2 unt; 0 def)
% Number of atoms : 1735 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2150 ( 859 ~;1255 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 60 ( 59 usr; 56 prp; 0-1 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 239 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause27,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
cnf(clause29,negated_conjecture,
( ~ hskp4
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
cnf(clause1,negated_conjecture,
( hskp6
| hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause62,negated_conjecture,
( ~ hskp21
| c1_1(a395) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause99,negated_conjecture,
( ~ hskp21
| ~ c2_1(a395) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
cnf(clause133,negated_conjecture,
( ~ hskp3
| ~ c0_1(a357) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause82,negated_conjecture,
( ~ hskp3
| c3_1(a357) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause81,negated_conjecture,
( ~ hskp3
| c1_1(a357) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause137,negated_conjecture,
( ~ ndr1_0
| hskp4
| hskp3
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause63,negated_conjecture,
( ~ hskp20
| c1_1(a388) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause100,negated_conjecture,
( ~ hskp20
| ~ c2_1(a388) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause101,negated_conjecture,
( ~ hskp20
| ~ c3_1(a388) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause98,negated_conjecture,
( ~ hskp21
| ~ c0_1(a395) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause57,negated_conjecture,
( ~ hskp24
| c1_1(a399) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause95,negated_conjecture,
( ~ hskp24
| ~ c3_1(a399) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
cnf(clause94,negated_conjecture,
( ~ hskp24
| ~ c0_1(a399) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause87,negated_conjecture,
( ~ hskp0
| c0_1(a353) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause136,negated_conjecture,
( ~ hskp0
| ~ c2_1(a353) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause88,negated_conjecture,
( ~ hskp0
| c1_1(a353) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause125,negated_conjecture,
( ~ hskp6
| ~ c1_1(a360) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause126,negated_conjecture,
( ~ hskp6
| ~ c2_1(a360) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause127,negated_conjecture,
( ~ hskp6
| ~ c3_1(a360) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause73,negated_conjecture,
( ~ hskp12
| c3_1(a369) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause115,negated_conjecture,
( ~ hskp12
| ~ c2_1(a369) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
cnf(clause64,negated_conjecture,
( ~ hskp18
| c3_1(a382) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause106,negated_conjecture,
( ~ hskp18
| ~ c2_1(a382) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
cnf(clause163,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
cnf(clause75,negated_conjecture,
( ~ hskp11
| c3_1(a368) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
cnf(clause116,negated_conjecture,
( ~ hskp11
| ~ c1_1(a368) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
cnf(clause103,negated_conjecture,
( ~ hskp19
| ~ c1_1(a387) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
cnf(clause102,negated_conjecture,
( ~ hskp19
| ~ c0_1(a387) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
cnf(clause145,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp19
| hskp28
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
cnf(clause104,negated_conjecture,
( ~ hskp19
| ~ c2_1(a387) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
cnf(clause153,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp4
| hskp21
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
cnf(clause156,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp19
| hskp24
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
cnf(clause105,negated_conjecture,
( ~ hskp18
| ~ c0_1(a382) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause114,negated_conjecture,
( ~ hskp13
| ~ c3_1(a370) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
cnf(clause71,negated_conjecture,
( ~ hskp13
| c2_1(a370) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
cnf(clause129,negated_conjecture,
( ~ hskp5
| ~ c1_1(a359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause130,negated_conjecture,
( ~ hskp5
| ~ c3_1(a359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause128,negated_conjecture,
( ~ hskp5
| ~ c0_1(a359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause72,negated_conjecture,
( ~ hskp12
| c0_1(a369) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
cnf(clause39,negated_conjecture,
( hskp6
| hskp18
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause74,negated_conjecture,
( ~ hskp11
| c2_1(a368) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
cnf(clause160,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
cnf(clause117,negated_conjecture,
( ~ hskp10
| ~ c0_1(a366) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause80,negated_conjecture,
( ~ hskp4
| c2_1(a358) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause47,negated_conjecture,
( ~ hskp29
| c0_1(a372) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(clause70,negated_conjecture,
( ~ hskp13
| c0_1(a370) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(clause118,negated_conjecture,
( ~ hskp10
| ~ c2_1(a366) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause119,negated_conjecture,
( ~ hskp10
| ~ c3_1(a366) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause40,negated_conjecture,
( hskp4
| hskp11
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause50,negated_conjecture,
( ~ hskp28
| c1_1(a365) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(clause51,negated_conjecture,
( ~ hskp28
| c2_1(a365) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause52,negated_conjecture,
( ~ hskp28
| c3_1(a365) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause48,negated_conjecture,
( ~ hskp29
| c1_1(a372) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(clause108,negated_conjecture,
( ~ hskp16
| ~ c1_1(a379) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
cnf(clause67,negated_conjecture,
( ~ hskp16
| c2_1(a379) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
cnf(clause109,negated_conjecture,
( ~ hskp16
| ~ c3_1(a379) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause58,negated_conjecture,
( ~ hskp23
| c1_1(a398) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause59,negated_conjecture,
( ~ hskp23
| c3_1(a398) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(clause96,negated_conjecture,
( ~ hskp23
| ~ c2_1(a398) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
cnf(clause131,negated_conjecture,
( ~ hskp4
| ~ c0_1(a358) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause132,negated_conjecture,
( ~ hskp4
| ~ c3_1(a358) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause208,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause208) ).
cnf(clause206,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).
cnf(clause204,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c1_1(X3)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
cnf(clause200,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
cnf(clause199,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
cnf(clause194,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
cnf(clause197,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp16
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
cnf(clause198,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp6
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
cnf(clause190,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
cnf(clause181,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp5
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
cnf(clause183,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp10
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
cnf(clause179,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp13
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
cnf(clause185,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
cnf(clause184,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp23
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
cnf(clause170,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
cnf(clause171,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp10
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
cnf(clause175,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp20
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
cnf(clause172,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp4
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
cnf(clause169,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp12
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
cnf(clause49,negated_conjecture,
( ~ hskp29
| c2_1(a372) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(c_0_84,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause27]) ).
cnf(c_0_85,negated_conjecture,
( ~ hskp4
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause29]) ).
cnf(c_0_86,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
c_0_84 ).
cnf(c_0_87,negated_conjecture,
( hskp6
| hskp4 ),
clause1 ).
cnf(c_0_88,negated_conjecture,
( ~ hskp4
| ndr1_0 ),
c_0_85 ).
fof(c_0_89,plain,
( ~ epred34_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_90,negated_conjecture,
( ~ hskp21
| c1_1(a395) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_91,negated_conjecture,
( ~ hskp21
| ~ c2_1(a395) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
fof(c_0_92,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_93,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_94,negated_conjecture,
( ~ hskp3
| ~ c0_1(a357) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
fof(c_0_95,plain,
( ~ epred21_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_96,negated_conjecture,
( ~ hskp3
| c3_1(a357) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
fof(c_0_97,plain,
( ~ epred10_0
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_98,negated_conjecture,
( ~ hskp3
| c1_1(a357) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_99,negated_conjecture,
( ~ ndr1_0
| hskp4
| hskp3
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
fof(c_0_100,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_101,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred34_0 ),
inference(split_equiv,[status(thm)],[c_0_89]) ).
cnf(c_0_102,negated_conjecture,
( ~ hskp21
| c1_1(a395) ),
c_0_90 ).
cnf(c_0_103,negated_conjecture,
( ~ hskp21
| ~ c2_1(a395) ),
c_0_91 ).
cnf(c_0_104,negated_conjecture,
( ~ c1_1(X1)
| hskp12
| c2_1(X1)
| c3_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_92]),c_0_93])]) ).
fof(c_0_105,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| hskp10 ) ),
introduced(definition) ).
cnf(c_0_106,negated_conjecture,
( ~ hskp20
| c1_1(a388) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_107,negated_conjecture,
( ~ hskp20
| ~ c2_1(a388) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_108,negated_conjecture,
( ~ hskp20
| ~ c3_1(a388) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_109,negated_conjecture,
( ~ hskp3
| ~ c0_1(a357) ),
c_0_94 ).
cnf(c_0_110,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_95]) ).
cnf(c_0_111,negated_conjecture,
( ~ hskp3
| c3_1(a357) ),
c_0_96 ).
cnf(c_0_112,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_97]) ).
cnf(c_0_113,negated_conjecture,
( ~ hskp3
| c1_1(a357) ),
c_0_98 ).
cnf(c_0_114,negated_conjecture,
( ~ ndr1_0
| hskp4
| hskp3
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
c_0_99 ).
cnf(c_0_115,negated_conjecture,
( ~ hskp21
| ~ c0_1(a395) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
fof(c_0_116,plain,
( ~ epred4_0
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_117,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp13 ) ),
introduced(definition) ).
fof(c_0_118,plain,
( ~ epred28_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_119,plain,
( ~ epred66_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ ndr1_0
| c1_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_120,negated_conjecture,
( ~ hskp24
| c1_1(a399) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_121,negated_conjecture,
( ~ hskp24
| ~ c3_1(a399) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
cnf(c_0_122,negated_conjecture,
( ~ hskp24
| ~ c0_1(a399) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
fof(c_0_123,plain,
( ~ epred52_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_124,negated_conjecture,
( ~ hskp0
| c0_1(a353) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_125,negated_conjecture,
( ~ hskp0
| ~ c2_1(a353) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_126,negated_conjecture,
( ~ hskp0
| c1_1(a353) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_127,negated_conjecture,
( ~ hskp6
| ~ c1_1(a360) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
fof(c_0_128,plain,
( ~ epred11_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| c2_1(X2)
| hskp20 ) ),
introduced(definition) ).
cnf(c_0_129,negated_conjecture,
( ~ hskp6
| ~ c2_1(a360) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp6
| ~ c3_1(a360) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
cnf(c_0_131,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred26_0 ),
inference(split_equiv,[status(thm)],[c_0_100]) ).
cnf(c_0_132,negated_conjecture,
( ~ hskp12
| c3_1(a369) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_133,negated_conjecture,
( ~ hskp12
| ~ c2_1(a369) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp21
| ~ c3_1(a395)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_135,negated_conjecture,
( ~ hskp21
| hskp12
| c3_1(a395)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_102]),c_0_103]) ).
cnf(c_0_136,negated_conjecture,
( ~ hskp18
| c3_1(a382) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_137,negated_conjecture,
( ~ hskp18
| ~ c2_1(a382) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
fof(c_0_138,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_139,plain,
( ~ epred9_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1)
| hskp4 ) ),
introduced(definition) ).
fof(c_0_140,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp5 ) ),
introduced(definition) ).
cnf(c_0_141,negated_conjecture,
( ~ c1_1(X1)
| hskp10
| c2_1(X1)
| c3_1(X1)
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_105]),c_0_93])]) ).
cnf(c_0_142,negated_conjecture,
( ~ hskp20
| c1_1(a388) ),
c_0_106 ).
cnf(c_0_143,negated_conjecture,
( ~ hskp20
| ~ c2_1(a388) ),
c_0_107 ).
cnf(c_0_144,negated_conjecture,
( ~ hskp20
| ~ c3_1(a388) ),
c_0_108 ).
fof(c_0_145,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| hskp16 ) ),
introduced(definition) ).
cnf(c_0_146,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp29 ),
inference(fof_simplification,[status(thm)],[clause163]) ).
fof(c_0_147,plain,
( ~ epred15_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp10 ) ),
introduced(definition) ).
cnf(c_0_148,negated_conjecture,
( ~ hskp11
| c3_1(a368) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp11
| ~ c1_1(a368) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
fof(c_0_150,plain,
( ~ epred8_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_151,plain,
( ~ epred50_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_152,negated_conjecture,
( ~ hskp19
| ~ c1_1(a387) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp19
| ~ c0_1(a387) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp3
| ~ c2_1(a357)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_155,negated_conjecture,
( ~ hskp3
| c2_1(a357)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_109]) ).
cnf(c_0_156,negated_conjecture,
( hskp4
| hskp3
| c0_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_93])]) ).
cnf(c_0_157,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp19
| hskp28
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause145]) ).
fof(c_0_158,plain,
( ~ epred2_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp19
| ~ c2_1(a387) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_160,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp4
| hskp21
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause153]) ).
cnf(c_0_161,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp19
| hskp24
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause156]) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp21
| ~ c0_1(a395) ),
c_0_115 ).
cnf(c_0_163,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_116]) ).
cnf(c_0_164,negated_conjecture,
( hskp13
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred30_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_93])]) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp18
| ~ c0_1(a382) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp13
| ~ c3_1(a370) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_167,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred28_0 ),
inference(split_equiv,[status(thm)],[c_0_118]) ).
cnf(c_0_168,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred66_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_119]),c_0_93])]) ).
cnf(c_0_169,negated_conjecture,
( ~ hskp13
| c2_1(a370) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp24
| c1_1(a399) ),
c_0_120 ).
cnf(c_0_171,negated_conjecture,
( ~ hskp24
| ~ c3_1(a399) ),
c_0_121 ).
cnf(c_0_172,negated_conjecture,
( ~ hskp24
| ~ c0_1(a399) ),
c_0_122 ).
cnf(c_0_173,negated_conjecture,
( ~ hskp5
| ~ c1_1(a359) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
fof(c_0_174,plain,
( ~ epred62_0
<=> ! [X3] :
( ~ c2_1(X3)
| c1_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp5
| ~ c3_1(a359) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp5
| ~ c0_1(a359) ),
inference(fof_simplification,[status(thm)],[clause128]) ).
cnf(c_0_177,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred52_0 ),
inference(split_equiv,[status(thm)],[c_0_123]) ).
cnf(c_0_178,negated_conjecture,
( ~ hskp0
| c0_1(a353) ),
c_0_124 ).
cnf(c_0_179,negated_conjecture,
( ~ hskp0
| ~ c2_1(a353) ),
c_0_125 ).
cnf(c_0_180,negated_conjecture,
( ~ hskp0
| c1_1(a353) ),
c_0_126 ).
fof(c_0_181,plain,
( ~ epred18_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp12
| c0_1(a369) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_183,negated_conjecture,
( ~ hskp6
| ~ c1_1(a360) ),
c_0_127 ).
cnf(c_0_184,negated_conjecture,
( hskp20
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_93])]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp6
| ~ c2_1(a360) ),
c_0_129 ).
cnf(c_0_186,negated_conjecture,
( ~ hskp6
| ~ c3_1(a360) ),
c_0_130 ).
cnf(c_0_187,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| epred26_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_101,c_0_131]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp12
| c3_1(a369) ),
c_0_132 ).
cnf(c_0_189,negated_conjecture,
( ~ hskp12
| ~ c2_1(a369) ),
c_0_133 ).
cnf(c_0_190,negated_conjecture,
( ~ hskp21
| hskp12
| epred1_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_191,negated_conjecture,
( hskp6
| hskp18
| hskp21 ),
clause39 ).
cnf(c_0_192,negated_conjecture,
( ~ hskp18
| c3_1(a382) ),
c_0_136 ).
cnf(c_0_193,negated_conjecture,
( ~ hskp18
| ~ c2_1(a382) ),
c_0_137 ).
cnf(c_0_194,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred39_0 ),
inference(split_equiv,[status(thm)],[c_0_138]) ).
cnf(c_0_195,negated_conjecture,
( ~ hskp11
| c2_1(a368) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_196,negated_conjecture,
( ~ c1_1(X1)
| hskp4
| c0_1(X1)
| c3_1(X1)
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_139]),c_0_93])]) ).
cnf(c_0_197,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11 ),
inference(fof_simplification,[status(thm)],[clause160]) ).
fof(c_0_198,plain,
( ~ epred16_0
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_199,plain,
( ~ epred19_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_200,plain,
( ~ epred49_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_201,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| hskp5
| c3_1(X1)
| epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_140]),c_0_93])]) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp20
| hskp10
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]),c_0_144]) ).
cnf(c_0_203,negated_conjecture,
( ~ c0_1(X1)
| hskp16
| c3_1(X1)
| c1_1(X1)
| epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_145]),c_0_93])]) ).
cnf(c_0_204,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp29 ),
c_0_146 ).
cnf(c_0_205,negated_conjecture,
( ~ c3_1(X1)
| hskp10
| c0_1(X1)
| c1_1(X1)
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_147]),c_0_93])]) ).
cnf(c_0_206,negated_conjecture,
( ~ hskp11
| c3_1(a368) ),
c_0_148 ).
cnf(c_0_207,negated_conjecture,
( ~ hskp11
| ~ c1_1(a368) ),
c_0_149 ).
cnf(c_0_208,negated_conjecture,
( ~ hskp10
| ~ c0_1(a366) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_209,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_150]) ).
cnf(c_0_210,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred50_0 ),
inference(split_equiv,[status(thm)],[c_0_151]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp19
| ~ c1_1(a387) ),
c_0_152 ).
cnf(c_0_212,negated_conjecture,
( ~ hskp19
| ~ c0_1(a387) ),
c_0_153 ).
cnf(c_0_213,negated_conjecture,
( ~ hskp3
| epred10_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_214,negated_conjecture,
( hskp4
| hskp3
| c0_1(X1)
| c2_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_156]) ).
cnf(c_0_215,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp19
| hskp28
| c3_1(X1)
| c0_1(X1) ),
c_0_157 ).
cnf(c_0_216,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_158]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp19
| ~ c2_1(a387) ),
c_0_159 ).
cnf(c_0_218,negated_conjecture,
( ~ hskp4
| c2_1(a358) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_219,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp4
| hskp21
| c0_1(X1) ),
c_0_160 ).
cnf(c_0_220,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp19
| hskp24
| c1_1(X1) ),
c_0_161 ).
fof(c_0_221,plain,
( ~ epred63_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_222,negated_conjecture,
( ~ hskp29
| c0_1(a372) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp13
| c0_1(a370) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
fof(c_0_224,plain,
( ~ epred61_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_225,plain,
( ~ epred53_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_226,plain,
( ~ epred51_0
<=> ! [X3] :
( ~ ndr1_0
| c1_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_227,plain,
( ~ epred48_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| hskp16 ) ),
introduced(definition) ).
fof(c_0_228,plain,
( ~ epred45_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| hskp6 ) ),
introduced(definition) ).
fof(c_0_229,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp4 ) ),
introduced(definition) ).
cnf(c_0_230,negated_conjecture,
( ~ hskp21
| ~ c3_1(a395)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_103]) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp21
| hskp13
| c3_1(a395)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_164]),c_0_103]) ).
cnf(c_0_232,negated_conjecture,
( ~ hskp18
| ~ c0_1(a382) ),
c_0_165 ).
cnf(c_0_233,negated_conjecture,
( ~ hskp13
| ~ c3_1(a370) ),
c_0_166 ).
cnf(c_0_234,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| epred28_0
| epred66_0 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp13
| c2_1(a370) ),
c_0_169 ).
cnf(c_0_236,negated_conjecture,
( ~ hskp24
| ~ c2_1(a399)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_170]),c_0_171]) ).
cnf(c_0_237,negated_conjecture,
( ~ hskp24
| hskp13
| c2_1(a399)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_164]),c_0_171]) ).
cnf(c_0_238,negated_conjecture,
( ~ hskp10
| ~ c2_1(a366) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_239,negated_conjecture,
( ~ hskp10
| ~ c3_1(a366) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_240,negated_conjecture,
( ~ hskp5
| ~ c1_1(a359) ),
c_0_173 ).
cnf(c_0_241,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred62_0 ),
inference(split_equiv,[status(thm)],[c_0_174]) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp5
| ~ c3_1(a359) ),
c_0_175 ).
cnf(c_0_243,negated_conjecture,
( ~ hskp5
| ~ c0_1(a359) ),
c_0_176 ).
fof(c_0_244,plain,
( ~ epred25_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp23 ) ),
introduced(definition) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp0
| ~ c3_1(a353)
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).
cnf(c_0_246,negated_conjecture,
( ~ hskp0
| hskp12
| c3_1(a353)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_180]),c_0_179]) ).
cnf(c_0_247,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_181]),c_0_93])]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp12
| c0_1(a369) ),
c_0_182 ).
cnf(c_0_249,negated_conjecture,
( ~ hskp20
| hskp12
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_142]),c_0_143]),c_0_144]) ).
cnf(c_0_250,negated_conjecture,
( ~ hskp6
| hskp20
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),c_0_186]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp12
| epred26_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).
cnf(c_0_252,negated_conjecture,
( hskp6
| hskp18
| hskp12
| epred1_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp18
| epred26_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_192]),c_0_193]) ).
cnf(c_0_254,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| epred21_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_110]) ).
cnf(c_0_255,negated_conjecture,
( ~ hskp11
| c2_1(a368) ),
c_0_195 ).
cnf(c_0_256,negated_conjecture,
( ~ hskp24
| hskp4
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_170]),c_0_172]),c_0_171]) ).
cnf(c_0_257,negated_conjecture,
( hskp4
| hskp11
| hskp24 ),
clause40 ).
cnf(c_0_258,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11 ),
c_0_197 ).
cnf(c_0_259,negated_conjecture,
( ~ hskp28
| c1_1(a365) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_260,negated_conjecture,
( ~ hskp28
| c2_1(a365) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp28
| c3_1(a365) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
fof(c_0_262,plain,
( ~ epred65_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp29
| c1_1(a372) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp16
| ~ c1_1(a379) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
cnf(c_0_265,negated_conjecture,
( ~ hskp16
| c2_1(a379) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_266,negated_conjecture,
( ~ hskp16
| ~ c3_1(a379) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
cnf(c_0_267,negated_conjecture,
( ~ hskp23
| c1_1(a398) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_268,negated_conjecture,
( ~ hskp23
| c3_1(a398) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_269,negated_conjecture,
( ~ hskp23
| ~ c2_1(a398) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
fof(c_0_270,plain,
( ~ epred31_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_271,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_198]) ).
cnf(c_0_272,negated_conjecture,
( ~ hskp4
| ~ c0_1(a358) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp4
| ~ c3_1(a358) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
fof(c_0_274,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_275,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred19_0 ),
inference(split_equiv,[status(thm)],[c_0_199]) ).
cnf(c_0_276,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_200]),c_0_93])]) ).
cnf(c_0_277,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3) ),
inference(fof_simplification,[status(thm)],[clause208]) ).
cnf(c_0_278,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause206]) ).
cnf(c_0_279,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c1_1(X3)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause204]) ).
cnf(c_0_280,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause200]) ).
cnf(c_0_281,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause199]) ).
cnf(c_0_282,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause194]) ).
cnf(c_0_283,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp16
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause197]) ).
cnf(c_0_284,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp6
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause198]) ).
cnf(c_0_285,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause190]) ).
cnf(c_0_286,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp5
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_287,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp10
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause183]) ).
cnf(c_0_288,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp13
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
cnf(c_0_289,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_290,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp23
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_291,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause170]) ).
cnf(c_0_292,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp10
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause171]) ).
cnf(c_0_293,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp20
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause175]) ).
cnf(c_0_294,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp4
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause172]) ).
cnf(c_0_295,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp12
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause169]) ).
cnf(c_0_296,negated_conjecture,
( ~ hskp24
| ~ c2_1(a399)
| hskp5
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_170]),c_0_171]) ).
cnf(c_0_297,negated_conjecture,
( hskp10
| c2_1(X1)
| c3_1(X1)
| epred11_0
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_184]),c_0_202]) ).
cnf(c_0_298,negated_conjecture,
( hskp16
| hskp13
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred27_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_203,c_0_164]) ).
cnf(c_0_299,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| hskp29
| hskp10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_93])]) ).
cnf(c_0_300,negated_conjecture,
( ~ hskp11
| hskp10
| c0_1(a368)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).
cnf(c_0_301,negated_conjecture,
( ~ hskp10
| ~ c0_1(a366) ),
c_0_208 ).
cnf(c_0_302,negated_conjecture,
( hskp4
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred8_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_209]) ).
cnf(c_0_303,negated_conjecture,
( hskp12
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred1_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_210]) ).
cnf(c_0_304,negated_conjecture,
( ~ hskp19
| c3_1(a387)
| epred50_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_210]),c_0_212]) ).
cnf(c_0_305,negated_conjecture,
( hskp4
| c0_1(X1)
| c2_1(X1)
| epred10_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_306,negated_conjecture,
( ~ c2_1(X1)
| hskp28
| hskp19
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_93])]) ).
cnf(c_0_307,negated_conjecture,
( ~ hskp24
| c2_1(a399)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_170]),c_0_172]) ).
cnf(c_0_308,negated_conjecture,
( ~ hskp19
| c3_1(a387)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_216]),c_0_217]) ).
cnf(c_0_309,negated_conjecture,
( ~ hskp4
| c2_1(a358) ),
c_0_218 ).
cnf(c_0_310,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp4
| hskp21
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_93])]) ).
cnf(c_0_311,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp24
| hskp19
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_93])]) ).
cnf(c_0_312,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred63_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_221]),c_0_93])]) ).
cnf(c_0_313,negated_conjecture,
( ~ hskp29
| c0_1(a372) ),
c_0_222 ).
cnf(c_0_314,negated_conjecture,
( ~ hskp13
| c0_1(a370) ),
c_0_223 ).
cnf(c_0_315,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred61_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_224]),c_0_93])]) ).
cnf(c_0_316,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred53_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_225]),c_0_93])]) ).
cnf(c_0_317,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred51_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_226]),c_0_93])]) ).
cnf(c_0_318,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp16
| c3_1(X1)
| epred48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_227]),c_0_93])]) ).
cnf(c_0_319,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp6
| c3_1(X1)
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_228]),c_0_93])]) ).
cnf(c_0_320,negated_conjecture,
( hskp4
| c0_1(X1)
| c3_1(X1)
| epred9_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_210]) ).
cnf(c_0_321,negated_conjecture,
( ~ c3_1(X1)
| hskp4
| c0_1(X1)
| c2_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_229]),c_0_93])]) ).
cnf(c_0_322,negated_conjecture,
( ~ hskp21
| hskp13
| epred4_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp18
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_163]),c_0_192]),c_0_193]) ).
cnf(c_0_324,negated_conjecture,
( ~ hskp13
| epred28_0
| epred66_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]) ).
cnf(c_0_325,negated_conjecture,
( ~ hskp24
| hskp13
| epred28_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp10
| ~ c2_1(a366) ),
c_0_238 ).
cnf(c_0_327,negated_conjecture,
( ~ hskp10
| ~ c3_1(a366) ),
c_0_239 ).
cnf(c_0_328,negated_conjecture,
( ~ hskp5
| ~ c2_1(a359)
| epred62_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp5
| hskp13
| c2_1(a359)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_164]),c_0_242]) ).
cnf(c_0_330,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp23
| c1_1(X1)
| epred25_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_244]),c_0_93])]) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp0
| hskp12
| epred1_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp19
| hskp0
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_247]),c_0_212]),c_0_217]) ).
cnf(c_0_333,negated_conjecture,
( ~ hskp12
| epred52_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_248]),c_0_188]),c_0_189]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp6
| hskp12
| epred1_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_335,negated_conjecture,
( hskp6
| epred1_0
| epred26_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp11
| epred21_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_206]),c_0_255]) ).
cnf(c_0_337,negated_conjecture,
( hskp4
| hskp11
| epred9_0 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_338,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_93])]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp28
| c1_1(a365) ),
c_0_259 ).
cnf(c_0_340,negated_conjecture,
( ~ hskp28
| c2_1(a365) ),
c_0_260 ).
cnf(c_0_341,negated_conjecture,
( ~ hskp28
| c3_1(a365) ),
c_0_261 ).
cnf(c_0_342,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred65_0 ),
inference(split_equiv,[status(thm)],[c_0_262]) ).
cnf(c_0_343,negated_conjecture,
( ~ hskp29
| c1_1(a372) ),
c_0_263 ).
cnf(c_0_344,negated_conjecture,
( ~ hskp16
| ~ c1_1(a379) ),
c_0_264 ).
cnf(c_0_345,negated_conjecture,
( ~ hskp16
| c2_1(a379) ),
c_0_265 ).
cnf(c_0_346,negated_conjecture,
( ~ hskp16
| ~ c3_1(a379) ),
c_0_266 ).
cnf(c_0_347,negated_conjecture,
( ~ hskp23
| c1_1(a398) ),
c_0_267 ).
cnf(c_0_348,negated_conjecture,
( ~ hskp23
| c3_1(a398) ),
c_0_268 ).
cnf(c_0_349,negated_conjecture,
( ~ hskp23
| ~ c2_1(a398) ),
c_0_269 ).
cnf(c_0_350,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred31_0 ),
inference(split_equiv,[status(thm)],[c_0_270]) ).
cnf(c_0_351,negated_conjecture,
( ~ hskp24
| ~ c2_1(a399)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_271]),c_0_171]) ).
cnf(c_0_352,negated_conjecture,
( ~ hskp4
| ~ c0_1(a358) ),
c_0_272 ).
cnf(c_0_353,negated_conjecture,
( ~ hskp4
| ~ c3_1(a358) ),
c_0_273 ).
cnf(c_0_354,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_274]) ).
cnf(c_0_355,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| epred19_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_356,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3) ),
c_0_277 ).
cnf(c_0_357,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2) ),
c_0_278 ).
cnf(c_0_358,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c1_1(X3)
| c1_1(X2)
| c3_1(X1) ),
c_0_279 ).
cnf(c_0_359,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_280 ).
cnf(c_0_360,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_281 ).
cnf(c_0_361,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
c_0_282 ).
cnf(c_0_362,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp16
| c3_1(X2) ),
c_0_283 ).
cnf(c_0_363,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp6
| c3_1(X2) ),
c_0_284 ).
cnf(c_0_364,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| c2_1(X2)
| c0_1(X2) ),
c_0_285 ).
cnf(c_0_365,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp5
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_286 ).
cnf(c_0_366,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp10
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_287 ).
cnf(c_0_367,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp13
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
c_0_288 ).
cnf(c_0_368,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_289 ).
cnf(c_0_369,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp23
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
c_0_290 ).
cnf(c_0_370,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_291 ).
cnf(c_0_371,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp10
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
c_0_292 ).
cnf(c_0_372,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp20
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
c_0_293 ).
cnf(c_0_373,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp4
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
c_0_294 ).
cnf(c_0_374,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp12
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_295 ).
cnf(c_0_375,negated_conjecture,
( ~ hskp29
| c2_1(a372) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_376,negated_conjecture,
( ~ hskp24
| hskp13
| epred30_0
| hskp5
| epred35_0 ),
inference(spm,[status(thm)],[c_0_296,c_0_237]) ).
cnf(c_0_377,negated_conjecture,
( ~ hskp6
| hskp10
| c2_1(a360)
| epred11_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_297]) ).
cnf(c_0_378,negated_conjecture,
( ~ hskp6
| hskp16
| hskp13
| c2_1(a360)
| c3_1(a360)
| epred27_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_298]) ).
cnf(c_0_379,negated_conjecture,
( ~ hskp11
| ~ c2_1(a368)
| ~ c3_1(a368)
| epred15_0
| hskp29
| hskp10 ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_380,negated_conjecture,
( ~ hskp11
| ~ c2_1(a368)
| ~ c3_1(a368)
| hskp10
| epred15_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_300]) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp10
| hskp4
| c2_1(a366)
| c3_1(a366)
| epred8_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_382,negated_conjecture,
( ~ hskp10
| hskp12
| c2_1(a366)
| c3_1(a366)
| epred1_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_303]) ).
cnf(c_0_383,negated_conjecture,
( ~ hskp19
| epred50_0
| hskp10
| c0_1(a387)
| c1_1(a387)
| epred15_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_304]) ).
cnf(c_0_384,negated_conjecture,
( ~ hskp19
| hskp4
| c2_1(a387)
| epred10_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_212,c_0_305]) ).
cnf(c_0_385,negated_conjecture,
( ~ hskp24
| epred10_0
| hskp28
| hskp19
| c0_1(a399)
| c3_1(a399) ),
inference(spm,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp10
| hskp4
| hskp3
| c2_1(a366)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_214]) ).
cnf(c_0_387,negated_conjecture,
( ~ hskp19
| epred2_0
| hskp10
| c0_1(a387)
| c1_1(a387)
| epred15_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_308]) ).
cnf(c_0_388,negated_conjecture,
( ~ hskp19
| hskp4
| hskp3
| c0_1(a387)
| c2_1(a387) ),
inference(spm,[status(thm)],[c_0_211,c_0_156]) ).
cnf(c_0_389,negated_conjecture,
( ~ hskp4
| hskp28
| hskp19
| c0_1(a358)
| c3_1(a358) ),
inference(spm,[status(thm)],[c_0_306,c_0_309]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp3
| ~ c2_1(a357)
| hskp4
| hskp21
| c0_1(a357) ),
inference(spm,[status(thm)],[c_0_310,c_0_111]) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp11
| ~ c2_1(a368)
| hskp24
| hskp19
| c1_1(a368) ),
inference(spm,[status(thm)],[c_0_311,c_0_206]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp29
| ~ c2_1(a372)
| c3_1(a372)
| epred63_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_393,negated_conjecture,
( ~ hskp13
| ~ c2_1(a370)
| c3_1(a370)
| epred63_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_314]) ).
cnf(c_0_394,negated_conjecture,
( ~ c2_1(a368)
| ~ c3_1(a368)
| ~ hskp11
| epred61_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_315]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp6
| c2_1(a360)
| c3_1(a360)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_316]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp19
| c0_1(a387)
| c2_1(a387)
| epred51_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_317]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp13
| ~ c2_1(a370)
| hskp16
| c3_1(a370)
| epred48_0 ),
inference(spm,[status(thm)],[c_0_318,c_0_314]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp29
| ~ c2_1(a372)
| hskp6
| c3_1(a372)
| epred45_0 ),
inference(spm,[status(thm)],[c_0_319,c_0_313]) ).
cnf(c_0_399,negated_conjecture,
( ~ hskp13
| ~ c2_1(a370)
| hskp6
| c3_1(a370)
| epred45_0 ),
inference(spm,[status(thm)],[c_0_319,c_0_314]) ).
cnf(c_0_400,negated_conjecture,
( ~ c2_1(a368)
| ~ hskp11
| c0_1(a368)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_276]) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp10
| hskp4
| c3_1(a366)
| epred9_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_320]) ).
cnf(c_0_402,negated_conjecture,
( ~ hskp3
| hskp4
| c0_1(a357)
| c2_1(a357)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_321,c_0_111]) ).
cnf(c_0_403,negated_conjecture,
( hskp6
| hskp13
| epred4_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_191]),c_0_323]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp24
| epred28_0
| epred30_0
| epred66_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_405,negated_conjecture,
( ~ hskp10
| hskp13
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_164]),c_0_326]),c_0_327]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp5
| hskp13
| epred30_0
| epred62_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp11
| ~ c0_1(a368)
| hskp23
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_206]),c_0_207]) ).
cnf(c_0_408,negated_conjecture,
( ~ hskp19
| epred1_0
| epred18_0
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333]) ).
cnf(c_0_409,negated_conjecture,
( epred1_0
| epred11_0
| epred26_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_334]),c_0_335]) ).
cnf(c_0_410,negated_conjecture,
( hskp4
| epred9_0
| epred21_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp28
| hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340]),c_0_341]) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp29
| ~ c3_1(a372)
| epred65_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_313]) ).
cnf(c_0_413,negated_conjecture,
( ~ hskp16
| epred62_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_241]),c_0_345]),c_0_346]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp23
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_347]),c_0_348]),c_0_349]) ).
cnf(c_0_415,negated_conjecture,
( ~ hskp28
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_339]),c_0_340]),c_0_341]) ).
cnf(c_0_416,negated_conjecture,
( ~ hskp24
| epred10_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_351,c_0_307]) ).
cnf(c_0_417,negated_conjecture,
( ~ hskp4
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_271]),c_0_309]),c_0_353]) ).
cnf(c_0_418,negated_conjecture,
( ~ hskp3
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_113]),c_0_111]),c_0_109]) ).
cnf(c_0_419,negated_conjecture,
( ~ hskp21
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_102]),c_0_162]),c_0_103]) ).
cnf(c_0_420,negated_conjecture,
( ~ hskp19
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_209]),c_0_212]),c_0_217]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp10
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_216]),c_0_326]),c_0_327]) ).
cnf(c_0_422,negated_conjecture,
( ~ hskp4
| epred19_0
| epred49_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_355]),c_0_309]) ).
cnf(c_0_423,negated_conjecture,
( ~ epred39_0
| ~ epred65_0
| ~ epred66_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_356,c_0_119]),c_0_262]),c_0_138]) ).
cnf(c_0_424,negated_conjecture,
( ~ epred16_0
| ~ epred31_0
| ~ epred63_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_357,c_0_221]),c_0_198]),c_0_270]) ).
cnf(c_0_425,negated_conjecture,
( ~ epred28_0
| ~ epred61_0
| ~ epred62_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_358,c_0_224]),c_0_174]),c_0_118]) ).
cnf(c_0_426,negated_conjecture,
( ~ epred34_0
| ~ epred50_0
| ~ epred53_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_359,c_0_225]),c_0_151]),c_0_89]) ).
cnf(c_0_427,negated_conjecture,
( ~ epred2_0
| ~ epred51_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_360,c_0_226]),c_0_158]),c_0_123]) ).
cnf(c_0_428,negated_conjecture,
( ~ epred8_0
| ~ epred49_0
| ~ epred50_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_361,c_0_200]),c_0_151]),c_0_150]) ).
cnf(c_0_429,negated_conjecture,
( ~ epred39_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_362,c_0_227]),c_0_138]) ).
cnf(c_0_430,negated_conjecture,
( ~ epred31_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_363,c_0_228]),c_0_270]) ).
cnf(c_0_431,negated_conjecture,
( ~ epred38_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_364,c_0_229]),c_0_138]) ).
cnf(c_0_432,negated_conjecture,
( ~ epred4_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_365,c_0_140]),c_0_116]) ).
cnf(c_0_433,negated_conjecture,
( ~ epred21_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_366,c_0_105]),c_0_95]) ).
cnf(c_0_434,negated_conjecture,
( ~ epred30_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_367,c_0_117]),c_0_270]) ).
cnf(c_0_435,negated_conjecture,
( ~ epred27_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_368,c_0_145]),c_0_118]) ).
cnf(c_0_436,negated_conjecture,
( ~ epred25_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_369,c_0_244]),c_0_100]) ).
cnf(c_0_437,negated_conjecture,
( ~ epred18_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_370,c_0_181]),c_0_199]) ).
cnf(c_0_438,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_371,c_0_147]),c_0_198]) ).
cnf(c_0_439,negated_conjecture,
( ~ epred11_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_372,c_0_128]),c_0_274]) ).
cnf(c_0_440,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_373,c_0_139]),c_0_97]) ).
cnf(c_0_441,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_374,c_0_92]),c_0_158]) ).
cnf(c_0_442,negated_conjecture,
( ~ hskp29
| c2_1(a372) ),
c_0_375 ).
cnf(c_0_443,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_376,c_0_377,c_0_378,c_0_379,c_0_380,c_0_381,c_0_382,c_0_383,c_0_384,c_0_385,c_0_386,c_0_387,c_0_388,c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_396,c_0_397,c_0_398,c_0_399,c_0_400,c_0_401,c_0_402,c_0_403,c_0_404,c_0_405,c_0_406,c_0_407,c_0_408,c_0_409,c_0_410,c_0_337,c_0_256,c_0_411,c_0_412,c_0_413,c_0_333,c_0_414,c_0_415,c_0_154,c_0_416,c_0_417,c_0_418,c_0_419,c_0_155,c_0_420,c_0_421,c_0_422,c_0_423,c_0_424,c_0_425,c_0_426,c_0_427,c_0_428,c_0_429,c_0_430,c_0_431,c_0_432,c_0_433,c_0_434,c_0_435,c_0_436,c_0_437,c_0_438,c_0_439,c_0_440,c_0_441,c_0_109,c_0_327,c_0_326,c_0_207,c_0_233,c_0_211,c_0_217,c_0_212,c_0_171,c_0_172,c_0_186,c_0_185,c_0_353,c_0_352,c_0_206,c_0_255,c_0_235,c_0_442,c_0_257,c_0_87]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN504-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:06:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 22.90/3.91 % Version: 3.5.1
% 22.90/3.91 % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.90/3.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.90/3.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.90/3.91 % Starting new_bool_3 with 300s (1) cores
% 22.90/3.91 % Starting new_bool_1 with 300s (1) cores
% 22.90/3.91 % Starting sh5l with 300s (1) cores
% 22.90/3.91 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1720227 completed with status 0
% 22.90/3.91 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 22.90/3.91 % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.90/3.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.90/3.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.90/3.91 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.90/3.91 % No SInE strategy applied
% 22.90/3.91 % Search class: FGHNF-FSMM00-SFFFFFNN
% 22.90/3.91 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 22.90/3.91 % Starting SubtermCWHack with 151s (1) cores
% 22.90/3.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 22.90/3.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 22.90/3.91 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 22.90/3.91 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 22.90/3.91 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1720234 completed with status 0
% 22.90/3.91 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 22.90/3.91 % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.90/3.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.90/3.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.90/3.91 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.90/3.91 % No SInE strategy applied
% 22.90/3.91 % Search class: FGHNF-FSMM00-SFFFFFNN
% 22.90/3.91 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 22.90/3.91 % Starting SubtermCWHack with 151s (1) cores
% 22.90/3.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 22.90/3.91 % Preprocessing time : 0.004 s
% 22.90/3.91 % SatCheck found unsatisfiable ground set
% 22.90/3.91
% 22.90/3.91 % Proof found!
% 22.90/3.91 % SZS status Unsatisfiable
% 22.90/3.91 % SZS output start CNFRefutation
% See solution above
% 22.90/3.91 % Parsed axioms : 208
% 22.90/3.91 % Removed by relevancy pruning/SinE : 0
% 22.90/3.91 % Initial clauses : 208
% 22.90/3.91 % Removed in clause preprocessing : 0
% 22.90/3.91 % Initial clauses in saturation : 208
% 22.90/3.91 % Processed clauses : 7231
% 22.90/3.91 % ...of these trivial : 0
% 22.90/3.91 % ...subsumed : 2231
% 22.90/3.91 % ...remaining for further processing : 5000
% 22.90/3.91 % Other redundant clauses eliminated : 0
% 22.90/3.91 % Clauses deleted for lack of memory : 0
% 22.90/3.91 % Backward-subsumed : 1034
% 22.90/3.91 % Backward-rewritten : 61
% 22.90/3.91 % Generated clauses : 64287
% 22.90/3.91 % ...of the previous two non-redundant : 60529
% 22.90/3.91 % ...aggressively subsumed : 0
% 22.90/3.91 % Contextual simplify-reflections : 602
% 22.90/3.91 % Paramodulations : 64178
% 22.90/3.91 % Factorizations : 0
% 22.90/3.91 % NegExts : 0
% 22.90/3.91 % Equation resolutions : 0
% 22.90/3.91 % Disequality decompositions : 0
% 22.90/3.91 % Total rewrite steps : 104
% 22.90/3.91 % ...of those cached : 103
% 22.90/3.91 % Propositional unsat checks : 1
% 22.90/3.91 % Propositional check models : 0
% 22.90/3.91 % Propositional check unsatisfiable : 1
% 22.90/3.91 % Propositional clauses : 56795
% 22.90/3.91 % Propositional clauses after purity: 55816
% 22.90/3.91 % Propositional unsat core size : 91
% 22.90/3.91 % Propositional preprocessing time : 0.000
% 22.90/3.91 % Propositional encoding time : 0.042
% 22.90/3.91 % Propositional solver time : 0.122
% 22.90/3.91 % Success case prop preproc time : 0.000
% 22.90/3.91 % Success case prop encoding time : 0.042
% 22.90/3.91 % Success case prop solver time : 0.122
% 22.90/3.91 % Current number of processed clauses : 3862
% 22.90/3.91 % Positive orientable unit clauses : 1
% 22.90/3.91 % Positive unorientable unit clauses: 0
% 22.90/3.91 % Negative unit clauses : 0
% 22.90/3.91 % Non-unit-clauses : 3861
% 22.90/3.91 % Current number of unprocessed clauses: 52933
% 22.90/3.91 % ...number of literals in the above : 364316
% 22.90/3.91 % Current number of archived formulas : 0
% 22.90/3.91 % Current number of archived clauses : 1095
% 22.90/3.91 % Clause-clause subsumption calls (NU) : 5148462
% 22.90/3.91 % Rec. Clause-clause subsumption calls : 258742
% 22.90/3.91 % Non-unit clause-clause subsumptions : 3929
% 22.90/3.91 % Unit Clause-clause subsumption calls : 56
% 22.90/3.91 % Rewrite failures with RHS unbound : 0
% 22.90/3.91 % BW rewrite match attempts : 1
% 22.90/3.91 % BW rewrite match successes : 1
% 22.90/3.91 % Condensation attempts : 7231
% 22.90/3.91 % Condensation successes : 0
% 22.90/3.91 % Termbank termtop insertions : 626213
% 22.90/3.91 % Search garbage collected termcells : 531
% 22.90/3.91
% 22.90/3.91 % -------------------------------------------------
% 22.90/3.91 % User time : 3.027 s
% 22.90/3.91 % System time : 0.093 s
% 22.90/3.91 % Total time : 3.120 s
% 22.90/3.91 % Maximum resident set size: 4056 pages
% 22.90/3.91
% 22.90/3.91 % -------------------------------------------------
% 22.90/3.91 % User time : 15.821 s
% 22.90/3.91 % System time : 0.471 s
% 22.90/3.91 % Total time : 16.292 s
% 22.90/3.91 % Maximum resident set size: 4864 pages
% 22.90/3.91 % E exiting
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