%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN504-1 : TPTP v9.2.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:38:51 PM UTC 2026
% Result : Unsatisfiable 5.90s 4.33s
% Output : CNFRefutation 5.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 120
% Syntax : Number of formulae : 363 ( 2 unt; 0 def)
% Number of atoms : 1424 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1737 ( 676 ~;1025 |; 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 : 189 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause27,negated_conjecture,
( ndr1_0
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
cnf(clause1,negated_conjecture,
( hskp4
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause29,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
cnf(clause62,negated_conjecture,
( c1_1(a395)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause99,negated_conjecture,
( ~ c2_1(a395)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause133,negated_conjecture,
( ~ c0_1(a357)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause82,negated_conjecture,
( c3_1(a357)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause81,negated_conjecture,
( c1_1(a357)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause137,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp3
| hskp4
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
cnf(clause63,negated_conjecture,
( c1_1(a388)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause100,negated_conjecture,
( ~ c2_1(a388)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(clause101,negated_conjecture,
( ~ c3_1(a388)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
cnf(clause98,negated_conjecture,
( ~ c0_1(a395)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause57,negated_conjecture,
( c1_1(a399)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
cnf(clause95,negated_conjecture,
( ~ c3_1(a399)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(clause94,negated_conjecture,
( ~ c0_1(a399)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
cnf(clause87,negated_conjecture,
( c0_1(a353)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
cnf(clause136,negated_conjecture,
( ~ c2_1(a353)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
cnf(clause88,negated_conjecture,
( c1_1(a353)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(clause125,negated_conjecture,
( ~ c1_1(a360)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause126,negated_conjecture,
( ~ c2_1(a360)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(clause127,negated_conjecture,
( ~ c3_1(a360)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
cnf(clause73,negated_conjecture,
( c3_1(a369)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause115,negated_conjecture,
( ~ c2_1(a369)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
cnf(clause39,negated_conjecture,
( hskp21
| hskp18
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause64,negated_conjecture,
( c3_1(a382)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause106,negated_conjecture,
( ~ c2_1(a382)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(clause163,negated_conjecture,
( hskp29
| hskp10
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
cnf(clause75,negated_conjecture,
( c3_1(a368)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause116,negated_conjecture,
( ~ c1_1(a368)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
cnf(clause103,negated_conjecture,
( ~ c1_1(a387)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
cnf(clause102,negated_conjecture,
( ~ c0_1(a387)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(clause145,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp28
| hskp19
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
cnf(clause104,negated_conjecture,
( ~ c2_1(a387)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
cnf(clause153,negated_conjecture,
( c0_1(X1)
| hskp21
| hskp4
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
cnf(clause156,negated_conjecture,
( c1_1(X1)
| hskp24
| hskp19
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
cnf(clause105,negated_conjecture,
( ~ c0_1(a382)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause114,negated_conjecture,
( ~ c3_1(a370)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
cnf(clause71,negated_conjecture,
( c2_1(a370)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause129,negated_conjecture,
( ~ c1_1(a359)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
cnf(clause130,negated_conjecture,
( ~ c3_1(a359)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
cnf(clause128,negated_conjecture,
( ~ c0_1(a359)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
cnf(clause72,negated_conjecture,
( c0_1(a369)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause74,negated_conjecture,
( c2_1(a368)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause40,negated_conjecture,
( hskp24
| hskp11
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause160,negated_conjecture,
( hskp11
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
cnf(clause117,negated_conjecture,
( ~ c0_1(a366)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause80,negated_conjecture,
( c2_1(a358)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause47,negated_conjecture,
( c0_1(a372)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause70,negated_conjecture,
( c0_1(a370)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
cnf(clause118,negated_conjecture,
( ~ c2_1(a366)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause119,negated_conjecture,
( ~ c3_1(a366)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause50,negated_conjecture,
( c1_1(a365)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause51,negated_conjecture,
( c2_1(a365)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause52,negated_conjecture,
( c3_1(a365)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
cnf(clause48,negated_conjecture,
( c1_1(a372)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause108,negated_conjecture,
( ~ c1_1(a379)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause67,negated_conjecture,
( c2_1(a379)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause109,negated_conjecture,
( ~ c3_1(a379)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause58,negated_conjecture,
( c1_1(a398)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
cnf(clause59,negated_conjecture,
( c3_1(a398)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(clause96,negated_conjecture,
( ~ c2_1(a398)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause131,negated_conjecture,
( ~ c0_1(a358)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
cnf(clause132,negated_conjecture,
( ~ c3_1(a358)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
cnf(clause208,negated_conjecture,
( c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause208) ).
cnf(clause206,negated_conjecture,
( c3_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).
cnf(clause204,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
cnf(clause200,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
cnf(clause199,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
cnf(clause194,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
cnf(clause197,negated_conjecture,
( c3_1(X2)
| hskp16
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
cnf(clause198,negated_conjecture,
( c3_1(X2)
| hskp6
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
cnf(clause190,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp4
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
cnf(clause181,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp5
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
cnf(clause183,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp10
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
cnf(clause179,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp13
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(clause185,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp16
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause184,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp23
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
cnf(clause170,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
cnf(clause171,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp10
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
cnf(clause175,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| hskp20
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
cnf(clause172,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp4
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
cnf(clause169,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp12
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
cnf(clause49,negated_conjecture,
( c2_1(a372)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(c_0_84,negated_conjecture,
( ndr1_0
| ~ hskp6 ),
clause27 ).
cnf(c_0_85,negated_conjecture,
( hskp4
| hskp6 ),
clause1 ).
cnf(c_0_86,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
clause29 ).
fof(c_0_87,plain,
( ~ epred34_0
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_88,plain,
( ~ epred1_0
<=> ! [X1] :
( hskp12
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_89,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
fof(c_0_90,plain,
( ~ epred21_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_91,plain,
( ~ epred10_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_92,plain,
( ~ epred26_0
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_93,negated_conjecture,
( epred34_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_87]) ).
cnf(c_0_94,negated_conjecture,
( c1_1(a395)
| ~ hskp21 ),
clause62 ).
cnf(c_0_95,negated_conjecture,
( ~ c2_1(a395)
| ~ hskp21 ),
clause99 ).
cnf(c_0_96,negated_conjecture,
( epred1_0
| c3_1(X1)
| c2_1(X1)
| hskp12
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_88]),c_0_89])]) ).
fof(c_0_97,plain,
( ~ epred32_0
<=> ! [X1] :
( hskp10
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_98,negated_conjecture,
( ~ c0_1(a357)
| ~ hskp3 ),
clause133 ).
cnf(c_0_99,negated_conjecture,
( epred21_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_90]) ).
cnf(c_0_100,negated_conjecture,
( c3_1(a357)
| ~ hskp3 ),
clause82 ).
cnf(c_0_101,negated_conjecture,
( epred10_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_91]) ).
cnf(c_0_102,negated_conjecture,
( c1_1(a357)
| ~ hskp3 ),
clause81 ).
cnf(c_0_103,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp3
| hskp4
| ~ ndr1_0 ),
clause137 ).
fof(c_0_104,plain,
( ~ epred4_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_105,plain,
( ~ epred30_0
<=> ! [X2] :
( hskp13
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_106,plain,
( ~ epred28_0
<=> ! [X1] :
( c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_107,plain,
( ~ epred66_0
<=> ! [X3] :
( c3_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_108,plain,
( ~ epred52_0
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_109,plain,
( ~ epred11_0
<=> ! [X2] :
( hskp20
| c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_110,negated_conjecture,
( epred26_0
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_92]) ).
cnf(c_0_111,negated_conjecture,
( epred34_0
| ~ c3_1(a395)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_112,negated_conjecture,
( epred1_0
| c3_1(a395)
| hskp12
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_94]),c_0_95]) ).
fof(c_0_113,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_114,plain,
( ~ epred9_0
<=> ! [X1] :
( hskp4
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_115,plain,
( ~ epred35_0
<=> ! [X1] :
( hskp5
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_116,negated_conjecture,
( epred32_0
| c3_1(X1)
| c2_1(X1)
| hskp10
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_97]),c_0_89])]) ).
cnf(c_0_117,negated_conjecture,
( c1_1(a388)
| ~ hskp20 ),
clause63 ).
cnf(c_0_118,negated_conjecture,
( ~ c2_1(a388)
| ~ hskp20 ),
clause100 ).
cnf(c_0_119,negated_conjecture,
( ~ c3_1(a388)
| ~ hskp20 ),
clause101 ).
fof(c_0_120,plain,
( ~ epred27_0
<=> ! [X2] :
( hskp16
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_121,plain,
( ~ epred15_0
<=> ! [X2] :
( hskp10
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_122,plain,
( ~ epred8_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_123,plain,
( ~ epred50_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_124,negated_conjecture,
( epred21_0
| ~ c2_1(a357)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_125,negated_conjecture,
( epred10_0
| c2_1(a357)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_98]) ).
cnf(c_0_126,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp3
| hskp4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_89])]) ).
fof(c_0_127,plain,
( ~ epred2_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_128,negated_conjecture,
( ~ c0_1(a395)
| ~ hskp21 ),
clause98 ).
cnf(c_0_129,negated_conjecture,
( epred4_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_104]) ).
cnf(c_0_130,negated_conjecture,
( epred30_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_105]),c_0_89])]) ).
cnf(c_0_131,negated_conjecture,
( epred28_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_106]) ).
cnf(c_0_132,negated_conjecture,
( epred66_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_107]),c_0_89])]) ).
cnf(c_0_133,negated_conjecture,
( c1_1(a399)
| ~ hskp24 ),
clause57 ).
cnf(c_0_134,negated_conjecture,
( ~ c3_1(a399)
| ~ hskp24 ),
clause95 ).
cnf(c_0_135,negated_conjecture,
( ~ c0_1(a399)
| ~ hskp24 ),
clause94 ).
fof(c_0_136,plain,
( ~ epred62_0
<=> ! [X3] :
( c3_1(X3)
| c1_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_137,negated_conjecture,
( epred52_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_108]) ).
cnf(c_0_138,negated_conjecture,
( c0_1(a353)
| ~ hskp0 ),
clause87 ).
cnf(c_0_139,negated_conjecture,
( ~ c2_1(a353)
| ~ hskp0 ),
clause136 ).
cnf(c_0_140,negated_conjecture,
( c1_1(a353)
| ~ hskp0 ),
clause88 ).
fof(c_0_141,plain,
( ~ epred18_0
<=> ! [X2] :
( hskp0
| c0_1(X2)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_142,negated_conjecture,
( ~ c1_1(a360)
| ~ hskp6 ),
clause125 ).
cnf(c_0_143,negated_conjecture,
( epred11_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_109]),c_0_89])]) ).
cnf(c_0_144,negated_conjecture,
( ~ c2_1(a360)
| ~ hskp6 ),
clause126 ).
cnf(c_0_145,negated_conjecture,
( ~ c3_1(a360)
| ~ hskp6 ),
clause127 ).
cnf(c_0_146,negated_conjecture,
( epred34_0
| epred26_0
| c2_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_110]) ).
cnf(c_0_147,negated_conjecture,
( c3_1(a369)
| ~ hskp12 ),
clause73 ).
cnf(c_0_148,negated_conjecture,
( ~ c2_1(a369)
| ~ hskp12 ),
clause115 ).
cnf(c_0_149,negated_conjecture,
( epred34_0
| epred1_0
| hskp12
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_150,negated_conjecture,
( hskp21
| hskp18
| hskp6 ),
clause39 ).
cnf(c_0_151,negated_conjecture,
( c3_1(a382)
| ~ hskp18 ),
clause64 ).
cnf(c_0_152,negated_conjecture,
( ~ c2_1(a382)
| ~ hskp18 ),
clause106 ).
cnf(c_0_153,negated_conjecture,
( epred39_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_113]) ).
cnf(c_0_154,negated_conjecture,
( epred9_0
| c3_1(X1)
| c0_1(X1)
| hskp4
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_114]),c_0_89])]) ).
fof(c_0_155,plain,
( ~ epred16_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_156,plain,
( ~ epred19_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_157,plain,
( ~ epred49_0
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_158,negated_conjecture,
( epred35_0
| c3_1(X1)
| hskp5
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_115]),c_0_89])]) ).
cnf(c_0_159,negated_conjecture,
( epred32_0
| hskp10
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_160,negated_conjecture,
( epred27_0
| c1_1(X1)
| c3_1(X1)
| hskp16
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_120]),c_0_89])]) ).
cnf(c_0_161,negated_conjecture,
( hskp29
| hskp10
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause163 ).
cnf(c_0_162,negated_conjecture,
( epred15_0
| c1_1(X1)
| c0_1(X1)
| hskp10
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_121]),c_0_89])]) ).
cnf(c_0_163,negated_conjecture,
( c3_1(a368)
| ~ hskp11 ),
clause75 ).
cnf(c_0_164,negated_conjecture,
( ~ c1_1(a368)
| ~ hskp11 ),
clause116 ).
cnf(c_0_165,negated_conjecture,
( epred8_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_122]) ).
cnf(c_0_166,negated_conjecture,
( epred50_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_123]) ).
cnf(c_0_167,negated_conjecture,
( ~ c1_1(a387)
| ~ hskp19 ),
clause103 ).
cnf(c_0_168,negated_conjecture,
( ~ c0_1(a387)
| ~ hskp19 ),
clause102 ).
cnf(c_0_169,negated_conjecture,
( epred21_0
| epred10_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_170,negated_conjecture,
( epred10_0
| c2_1(X1)
| c0_1(X1)
| hskp3
| hskp4 ),
inference(spm,[status(thm)],[c_0_101,c_0_126]) ).
cnf(c_0_171,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp28
| hskp19
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause145 ).
cnf(c_0_172,negated_conjecture,
( epred2_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_127]) ).
cnf(c_0_173,negated_conjecture,
( ~ c2_1(a387)
| ~ hskp19 ),
clause104 ).
cnf(c_0_174,negated_conjecture,
( c0_1(X1)
| hskp21
| hskp4
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause153 ).
cnf(c_0_175,negated_conjecture,
( c1_1(X1)
| hskp24
| hskp19
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause156 ).
fof(c_0_176,plain,
( ~ epred63_0
<=> ! [X2] :
( c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_177,plain,
( ~ epred61_0
<=> ! [X2] :
( c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_178,plain,
( ~ epred53_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_179,plain,
( ~ epred51_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| c1_1(X3)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_180,plain,
( ~ epred48_0
<=> ! [X2] :
( hskp16
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_181,plain,
( ~ epred45_0
<=> ! [X2] :
( hskp6
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_182,plain,
( ~ epred38_0
<=> ! [X2] :
( hskp4
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_183,negated_conjecture,
( epred4_0
| ~ c3_1(a395)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_95]) ).
cnf(c_0_184,negated_conjecture,
( epred30_0
| c3_1(a395)
| hskp13
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_130]),c_0_95]) ).
cnf(c_0_185,negated_conjecture,
( ~ c0_1(a382)
| ~ hskp18 ),
clause105 ).
cnf(c_0_186,negated_conjecture,
( ~ c3_1(a370)
| ~ hskp13 ),
clause114 ).
cnf(c_0_187,negated_conjecture,
( epred66_0
| epred28_0
| c3_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_188,negated_conjecture,
( c2_1(a370)
| ~ hskp13 ),
clause71 ).
cnf(c_0_189,negated_conjecture,
( epred28_0
| ~ c2_1(a399)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_133]),c_0_134]) ).
cnf(c_0_190,negated_conjecture,
( epred30_0
| c2_1(a399)
| hskp13
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_130]),c_0_134]) ).
cnf(c_0_191,negated_conjecture,
( ~ c1_1(a359)
| ~ hskp5 ),
clause129 ).
cnf(c_0_192,negated_conjecture,
( epred62_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_136]) ).
cnf(c_0_193,negated_conjecture,
( ~ c3_1(a359)
| ~ hskp5 ),
clause130 ).
cnf(c_0_194,negated_conjecture,
( ~ c0_1(a359)
| ~ hskp5 ),
clause128 ).
fof(c_0_195,plain,
( ~ epred25_0
<=> ! [X1] :
( hskp23
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_196,negated_conjecture,
( epred52_0
| ~ c3_1(a353)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_197,negated_conjecture,
( epred1_0
| c3_1(a353)
| hskp12
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_140]),c_0_139]) ).
cnf(c_0_198,negated_conjecture,
( epred18_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_141]),c_0_89])]) ).
cnf(c_0_199,negated_conjecture,
( c0_1(a369)
| ~ hskp12 ),
clause72 ).
cnf(c_0_200,negated_conjecture,
( epred1_0
| hskp12
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_201,negated_conjecture,
( epred11_0
| hskp20
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_145]) ).
cnf(c_0_202,negated_conjecture,
( epred34_0
| epred26_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).
cnf(c_0_203,negated_conjecture,
( epred34_0
| epred1_0
| hskp12
| hskp18
| hskp6 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_204,negated_conjecture,
( epred34_0
| epred26_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_151]),c_0_152]) ).
cnf(c_0_205,negated_conjecture,
( epred39_0
| epred21_0
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_99]) ).
cnf(c_0_206,negated_conjecture,
( c2_1(a368)
| ~ hskp11 ),
clause74 ).
cnf(c_0_207,negated_conjecture,
( epred9_0
| hskp4
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_133]),c_0_135]),c_0_134]) ).
cnf(c_0_208,negated_conjecture,
( hskp24
| hskp11
| hskp4 ),
clause40 ).
cnf(c_0_209,negated_conjecture,
( hskp11
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause160 ).
fof(c_0_210,plain,
( ~ epred65_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_211,plain,
( ~ epred31_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_212,negated_conjecture,
( epred16_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_155]) ).
fof(c_0_213,plain,
( ~ epred12_0
<=> ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_214,negated_conjecture,
( epred19_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_156]) ).
cnf(c_0_215,negated_conjecture,
( epred49_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_157]),c_0_89])]) ).
cnf(c_0_216,negated_conjecture,
( epred35_0
| hskp5
| ~ c2_1(a399)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_133]),c_0_134]) ).
cnf(c_0_217,negated_conjecture,
( epred32_0
| epred11_0
| c3_1(X1)
| c2_1(X1)
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_143]),c_0_159]) ).
cnf(c_0_218,negated_conjecture,
( epred30_0
| epred27_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp13
| hskp16 ),
inference(spm,[status(thm)],[c_0_160,c_0_130]) ).
cnf(c_0_219,negated_conjecture,
( hskp10
| hskp29
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_89])]) ).
cnf(c_0_220,negated_conjecture,
( epred15_0
| c0_1(a368)
| hskp10
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
cnf(c_0_221,negated_conjecture,
( ~ c0_1(a366)
| ~ hskp10 ),
clause117 ).
cnf(c_0_222,negated_conjecture,
( epred9_0
| epred8_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp4 ),
inference(spm,[status(thm)],[c_0_154,c_0_165]) ).
cnf(c_0_223,negated_conjecture,
( epred50_0
| epred1_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp12 ),
inference(spm,[status(thm)],[c_0_96,c_0_166]) ).
cnf(c_0_224,negated_conjecture,
( epred50_0
| c3_1(a387)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_166]),c_0_168]) ).
cnf(c_0_225,negated_conjecture,
( epred21_0
| epred10_0
| c2_1(X1)
| c0_1(X1)
| hskp4 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_226,negated_conjecture,
( c3_1(X1)
| c0_1(X1)
| hskp19
| hskp28
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_89])]) ).
cnf(c_0_227,negated_conjecture,
( epred10_0
| c2_1(a399)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_133]),c_0_135]) ).
cnf(c_0_228,negated_conjecture,
( epred2_0
| c3_1(a387)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_172]),c_0_173]) ).
cnf(c_0_229,negated_conjecture,
( c2_1(a358)
| ~ hskp4 ),
clause80 ).
cnf(c_0_230,negated_conjecture,
( c0_1(X1)
| hskp21
| hskp4
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_89])]) ).
cnf(c_0_231,negated_conjecture,
( c1_1(X1)
| hskp19
| hskp24
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_89])]) ).
cnf(c_0_232,negated_conjecture,
( epred63_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_176]),c_0_89])]) ).
cnf(c_0_233,negated_conjecture,
( c0_1(a372)
| ~ hskp29 ),
clause47 ).
cnf(c_0_234,negated_conjecture,
( c0_1(a370)
| ~ hskp13 ),
clause70 ).
cnf(c_0_235,negated_conjecture,
( epred61_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_177]),c_0_89])]) ).
cnf(c_0_236,negated_conjecture,
( epred53_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_89])]) ).
cnf(c_0_237,negated_conjecture,
( epred51_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_179]),c_0_89])]) ).
cnf(c_0_238,negated_conjecture,
( epred48_0
| c3_1(X1)
| hskp16
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_180]),c_0_89])]) ).
cnf(c_0_239,negated_conjecture,
( epred45_0
| c3_1(X1)
| hskp6
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_181]),c_0_89])]) ).
cnf(c_0_240,negated_conjecture,
( epred50_0
| epred9_0
| c3_1(X1)
| c0_1(X1)
| hskp4 ),
inference(spm,[status(thm)],[c_0_154,c_0_166]) ).
cnf(c_0_241,negated_conjecture,
( epred38_0
| c2_1(X1)
| c0_1(X1)
| hskp4
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_182]),c_0_89])]) ).
cnf(c_0_242,negated_conjecture,
( epred30_0
| epred4_0
| hskp13
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_243,negated_conjecture,
( epred4_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_129]),c_0_151]),c_0_152]) ).
cnf(c_0_244,negated_conjecture,
( epred66_0
| epred28_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188]) ).
cnf(c_0_245,negated_conjecture,
( epred30_0
| epred28_0
| hskp13
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_246,negated_conjecture,
( ~ c2_1(a366)
| ~ hskp10 ),
clause118 ).
cnf(c_0_247,negated_conjecture,
( ~ c3_1(a366)
| ~ hskp10 ),
clause119 ).
cnf(c_0_248,negated_conjecture,
( epred62_0
| ~ c2_1(a359)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).
cnf(c_0_249,negated_conjecture,
( epred30_0
| c2_1(a359)
| hskp13
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_130]),c_0_193]) ).
cnf(c_0_250,negated_conjecture,
( epred25_0
| c1_1(X1)
| hskp23
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_195]),c_0_89])]) ).
cnf(c_0_251,negated_conjecture,
( epred52_0
| epred1_0
| hskp12
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_252,negated_conjecture,
( epred18_0
| hskp0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_198]),c_0_168]),c_0_173]) ).
cnf(c_0_253,negated_conjecture,
( epred52_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_199]),c_0_147]),c_0_148]) ).
cnf(c_0_254,negated_conjecture,
( epred11_0
| epred1_0
| hskp12
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_255,negated_conjecture,
( epred34_0
| epred26_0
| epred1_0
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).
cnf(c_0_256,negated_conjecture,
( epred39_0
| epred21_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_163]),c_0_206]) ).
cnf(c_0_257,negated_conjecture,
( epred9_0
| hskp11
| hskp4 ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_258,negated_conjecture,
( hskp11
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_89])]) ).
cnf(c_0_259,negated_conjecture,
( c1_1(a365)
| ~ hskp28 ),
clause50 ).
cnf(c_0_260,negated_conjecture,
( c2_1(a365)
| ~ hskp28 ),
clause51 ).
cnf(c_0_261,negated_conjecture,
( c3_1(a365)
| ~ hskp28 ),
clause52 ).
cnf(c_0_262,negated_conjecture,
( epred65_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_210]) ).
cnf(c_0_263,negated_conjecture,
( c1_1(a372)
| ~ hskp29 ),
clause48 ).
cnf(c_0_264,negated_conjecture,
( ~ c1_1(a379)
| ~ hskp16 ),
clause108 ).
cnf(c_0_265,negated_conjecture,
( c2_1(a379)
| ~ hskp16 ),
clause67 ).
cnf(c_0_266,negated_conjecture,
( ~ c3_1(a379)
| ~ hskp16 ),
clause109 ).
cnf(c_0_267,negated_conjecture,
( c1_1(a398)
| ~ hskp23 ),
clause58 ).
cnf(c_0_268,negated_conjecture,
( c3_1(a398)
| ~ hskp23 ),
clause59 ).
cnf(c_0_269,negated_conjecture,
( ~ c2_1(a398)
| ~ hskp23 ),
clause96 ).
cnf(c_0_270,negated_conjecture,
( epred31_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_211]) ).
cnf(c_0_271,negated_conjecture,
( epred16_0
| ~ c2_1(a399)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_212]),c_0_134]) ).
cnf(c_0_272,negated_conjecture,
( ~ c0_1(a358)
| ~ hskp4 ),
clause131 ).
cnf(c_0_273,negated_conjecture,
( ~ c3_1(a358)
| ~ hskp4 ),
clause132 ).
cnf(c_0_274,negated_conjecture,
( epred12_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_213]) ).
cnf(c_0_275,negated_conjecture,
( epred49_0
| epred19_0
| c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_276,negated_conjecture,
( c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
clause208 ).
cnf(c_0_277,negated_conjecture,
( c3_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X3) ),
clause206 ).
cnf(c_0_278,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
clause204 ).
cnf(c_0_279,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause200 ).
cnf(c_0_280,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause199 ).
cnf(c_0_281,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause194 ).
cnf(c_0_282,negated_conjecture,
( c3_1(X2)
| hskp16
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause197 ).
cnf(c_0_283,negated_conjecture,
( c3_1(X2)
| hskp6
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause198 ).
cnf(c_0_284,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp4
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause190 ).
cnf(c_0_285,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp5
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause181 ).
cnf(c_0_286,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp10
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
clause183 ).
cnf(c_0_287,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp13
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause179 ).
cnf(c_0_288,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp16
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause185 ).
cnf(c_0_289,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp23
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause184 ).
cnf(c_0_290,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause170 ).
cnf(c_0_291,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp10
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause171 ).
cnf(c_0_292,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| hskp20
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
clause175 ).
cnf(c_0_293,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp4
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause172 ).
cnf(c_0_294,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp12
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause169 ).
cnf(c_0_295,negated_conjecture,
( epred35_0
| hskp5
| epred30_0
| hskp13
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_216,c_0_190]) ).
cnf(c_0_296,negated_conjecture,
( epred32_0
| epred11_0
| c2_1(a360)
| hskp10
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_145,c_0_217]) ).
cnf(c_0_297,negated_conjecture,
( epred30_0
| epred27_0
| c3_1(a360)
| c2_1(a360)
| hskp13
| hskp16
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_142,c_0_218]) ).
cnf(c_0_298,negated_conjecture,
( hskp10
| hskp29
| epred15_0
| ~ c3_1(a368)
| ~ c2_1(a368)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_299,negated_conjecture,
( epred39_0
| epred15_0
| hskp10
| ~ c3_1(a368)
| ~ c2_1(a368)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_153,c_0_220]) ).
cnf(c_0_300,negated_conjecture,
( epred9_0
| epred8_0
| c3_1(a366)
| c2_1(a366)
| hskp4
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_301,negated_conjecture,
( epred50_0
| epred1_0
| c3_1(a366)
| c2_1(a366)
| hskp12
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_221,c_0_223]) ).
cnf(c_0_302,negated_conjecture,
( epred15_0
| c1_1(a387)
| c0_1(a387)
| hskp10
| epred50_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_162,c_0_224]) ).
cnf(c_0_303,negated_conjecture,
( epred21_0
| epred10_0
| c2_1(a387)
| hskp4
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_168,c_0_225]) ).
cnf(c_0_304,negated_conjecture,
( c3_1(a399)
| c0_1(a399)
| hskp19
| hskp28
| epred10_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_305,negated_conjecture,
( epred10_0
| c2_1(a366)
| hskp3
| hskp4
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_221,c_0_170]) ).
cnf(c_0_306,negated_conjecture,
( epred15_0
| c1_1(a387)
| c0_1(a387)
| hskp10
| epred2_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_162,c_0_228]) ).
cnf(c_0_307,negated_conjecture,
( c2_1(a387)
| c0_1(a387)
| hskp3
| hskp4
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_167,c_0_126]) ).
cnf(c_0_308,negated_conjecture,
( c3_1(a358)
| c0_1(a358)
| hskp19
| hskp28
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_226,c_0_229]) ).
cnf(c_0_309,negated_conjecture,
( c0_1(a357)
| hskp21
| hskp4
| ~ c2_1(a357)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_230,c_0_100]) ).
cnf(c_0_310,negated_conjecture,
( c1_1(a368)
| hskp19
| hskp24
| ~ c2_1(a368)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_231,c_0_163]) ).
cnf(c_0_311,negated_conjecture,
( epred63_0
| c3_1(a372)
| ~ c2_1(a372)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_312,negated_conjecture,
( epred63_0
| c3_1(a370)
| ~ c2_1(a370)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_232,c_0_234]) ).
cnf(c_0_313,negated_conjecture,
( epred61_0
| ~ hskp11
| ~ c3_1(a368)
| ~ c2_1(a368) ),
inference(spm,[status(thm)],[c_0_164,c_0_235]) ).
cnf(c_0_314,negated_conjecture,
( epred53_0
| c3_1(a360)
| c2_1(a360)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_142,c_0_236]) ).
cnf(c_0_315,negated_conjecture,
( epred51_0
| c2_1(a387)
| c0_1(a387)
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_167,c_0_237]) ).
cnf(c_0_316,negated_conjecture,
( epred48_0
| c3_1(a370)
| hskp16
| ~ c2_1(a370)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_238,c_0_234]) ).
cnf(c_0_317,negated_conjecture,
( epred45_0
| c3_1(a372)
| hskp6
| ~ c2_1(a372)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_239,c_0_233]) ).
cnf(c_0_318,negated_conjecture,
( epred45_0
| c3_1(a370)
| hskp6
| ~ c2_1(a370)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_239,c_0_234]) ).
cnf(c_0_319,negated_conjecture,
( epred49_0
| c0_1(a368)
| ~ hskp11
| ~ c2_1(a368) ),
inference(spm,[status(thm)],[c_0_164,c_0_215]) ).
cnf(c_0_320,negated_conjecture,
( epred50_0
| epred9_0
| c3_1(a366)
| hskp4
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_221,c_0_240]) ).
cnf(c_0_321,negated_conjecture,
( epred38_0
| c2_1(a357)
| c0_1(a357)
| hskp4
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_241,c_0_100]) ).
cnf(c_0_322,negated_conjecture,
( epred30_0
| epred4_0
| hskp13
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_150]),c_0_243]) ).
cnf(c_0_323,negated_conjecture,
( epred66_0
| epred30_0
| epred28_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_324,negated_conjecture,
( epred30_0
| hskp13
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_130]),c_0_246]),c_0_247]) ).
cnf(c_0_325,negated_conjecture,
( epred62_0
| epred30_0
| hskp13
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_326,negated_conjecture,
( epred25_0
| hskp23
| ~ c0_1(a368)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_163]),c_0_164]) ).
cnf(c_0_327,negated_conjecture,
( epred52_0
| epred18_0
| epred1_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]) ).
cnf(c_0_328,negated_conjecture,
( epred34_0
| epred26_0
| epred11_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_254]),c_0_255]) ).
cnf(c_0_329,negated_conjecture,
( epred39_0
| epred21_0
| epred9_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_330,negated_conjecture,
( hskp11
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]),c_0_261]) ).
cnf(c_0_331,negated_conjecture,
( epred65_0
| ~ c3_1(a372)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_233]) ).
cnf(c_0_332,negated_conjecture,
( epred62_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_192]),c_0_265]),c_0_266]) ).
cnf(c_0_333,negated_conjecture,
( epred34_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_267]),c_0_268]),c_0_269]) ).
cnf(c_0_334,negated_conjecture,
( epred31_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_259]),c_0_260]),c_0_261]) ).
cnf(c_0_335,negated_conjecture,
( epred16_0
| epred10_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_271,c_0_227]) ).
cnf(c_0_336,negated_conjecture,
( epred16_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_212]),c_0_229]),c_0_273]) ).
cnf(c_0_337,negated_conjecture,
( epred12_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_102]),c_0_100]),c_0_98]) ).
cnf(c_0_338,negated_conjecture,
( epred10_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_94]),c_0_128]),c_0_95]) ).
cnf(c_0_339,negated_conjecture,
( epred8_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_165]),c_0_168]),c_0_173]) ).
cnf(c_0_340,negated_conjecture,
( epred2_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_172]),c_0_246]),c_0_247]) ).
cnf(c_0_341,negated_conjecture,
( epred49_0
| epred19_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_275]),c_0_229]) ).
cnf(c_0_342,negated_conjecture,
( ~ epred66_0
| ~ epred65_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_276,c_0_107]),c_0_210]),c_0_113]) ).
cnf(c_0_343,negated_conjecture,
( ~ epred63_0
| ~ epred31_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_277,c_0_176]),c_0_155]),c_0_211]) ).
cnf(c_0_344,negated_conjecture,
( ~ epred62_0
| ~ epred61_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_278,c_0_177]),c_0_136]),c_0_106]) ).
cnf(c_0_345,negated_conjecture,
( ~ epred53_0
| ~ epred50_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_279,c_0_178]),c_0_123]),c_0_87]) ).
cnf(c_0_346,negated_conjecture,
( ~ epred52_0
| ~ epred51_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_280,c_0_179]),c_0_127]),c_0_108]) ).
cnf(c_0_347,negated_conjecture,
( ~ epred50_0
| ~ epred49_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_281,c_0_157]),c_0_123]),c_0_122]) ).
cnf(c_0_348,negated_conjecture,
( ~ epred48_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_282,c_0_180]),c_0_113]) ).
cnf(c_0_349,negated_conjecture,
( ~ epred45_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_283,c_0_181]),c_0_211]) ).
cnf(c_0_350,negated_conjecture,
( ~ epred39_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_284,c_0_182]),c_0_113]) ).
cnf(c_0_351,negated_conjecture,
( ~ epred35_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_285,c_0_115]),c_0_104]) ).
cnf(c_0_352,negated_conjecture,
( ~ epred32_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_286,c_0_97]),c_0_90]) ).
cnf(c_0_353,negated_conjecture,
( ~ epred31_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_287,c_0_105]),c_0_211]) ).
cnf(c_0_354,negated_conjecture,
( ~ epred28_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_288,c_0_120]),c_0_106]) ).
cnf(c_0_355,negated_conjecture,
( ~ epred26_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_289,c_0_195]),c_0_92]) ).
cnf(c_0_356,negated_conjecture,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_290,c_0_141]),c_0_156]) ).
cnf(c_0_357,negated_conjecture,
( ~ epred16_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_291,c_0_121]),c_0_155]) ).
cnf(c_0_358,negated_conjecture,
( ~ epred12_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_292,c_0_109]),c_0_213]) ).
cnf(c_0_359,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_293,c_0_114]),c_0_91]) ).
cnf(c_0_360,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_294,c_0_88]),c_0_127]) ).
cnf(c_0_361,negated_conjecture,
( c2_1(a372)
| ~ hskp29 ),
clause49 ).
cnf(c_0_362,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_295,c_0_296,c_0_297,c_0_298,c_0_299,c_0_300,c_0_301,c_0_302,c_0_303,c_0_304,c_0_305,c_0_306,c_0_307,c_0_308,c_0_309,c_0_310,c_0_311,c_0_312,c_0_313,c_0_314,c_0_315,c_0_316,c_0_317,c_0_318,c_0_319,c_0_320,c_0_321,c_0_322,c_0_323,c_0_324,c_0_325,c_0_326,c_0_327,c_0_328,c_0_329,c_0_257,c_0_207,c_0_330,c_0_331,c_0_332,c_0_253,c_0_333,c_0_334,c_0_124,c_0_335,c_0_336,c_0_337,c_0_338,c_0_125,c_0_339,c_0_340,c_0_341,c_0_342,c_0_343,c_0_344,c_0_345,c_0_346,c_0_347,c_0_348,c_0_349,c_0_350,c_0_351,c_0_352,c_0_353,c_0_354,c_0_355,c_0_356,c_0_357,c_0_358,c_0_359,c_0_360,c_0_98,c_0_247,c_0_246,c_0_164,c_0_186,c_0_167,c_0_173,c_0_168,c_0_134,c_0_135,c_0_145,c_0_144,c_0_273,c_0_272,c_0_163,c_0_206,c_0_188,c_0_361,c_0_208,c_0_85]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN504-1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n027.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:37:20 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 5.90/4.33 % Version : CSE_E---1.7
% 5.90/4.33 % Problem : theBenchmark.p
% 5.90/4.33 % SZS status Unsatisfiable for theBenchmark.p
% 5.90/4.33 % SZS output start CNFRefutation
% See solution above
% 5.90/4.35 % Total time : 3.372s
%------------------------------------------------------------------------------